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2026-05-01T01:33:21Z
User contributions
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https://wiki.bbchallenge.org/w/index.php?title=BB(7)&diff=2374
BB(7)
2025-07-08T05:06:29Z
<p>Gerbil: /* Current Progress */</p>
<hr />
<div>The 7-state, 2-symbol Busy Beaver problem, '''BB(7)''', refers to the unsolved 7<sup>th</sup> value of the [[Busy Beaver function]]. With the compilation of the [[Cryptid]] machine [[Bigfoot]] into a 7-state, 2-symbol machine in May 2024, we now know that we must solve a [[Collatz-like]] problem in order to solve BB(7).<br />
<br />
The current BB(7) champion {{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}} was discovered by Pavel Kropitz in May 2025, proving the lower bound: <math display="block">S(7) > \Sigma(7) > 2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
<br />
== History ==<br />
Before 2025, the only known BB(7) champions were produced by hand, not by search. For example, Milton Green designed a machine in 1964 that had [[sigma score]] 22,961 and Wythagoras modified a BB(6) champion in 2014 to produce a machine that had sigma score <math>> 10 \uparrow\uparrow 5</math>.<br />
<br />
In May 2025, mxdys shared [https://github.com/ccz181078/TM C++ code] that breaks up the BB(7) enumeration into 1 million subtasks which each run for about 2 minutes and leave ~100 holdouts each. Various folks on Discord have been investigating different sections of this domain to search for champions.<br />
<br />
Within three days of the code's release, the Ligockis found three champions after applying their deciders to enumerator output. Shawn Ligocki found the first two, {{TM|1RB0RF_1LC0RE_1RD1LB_1LA1LD_0RA0LE_1RG0LB_1RZ1RB}} and {{TM|1RB1RA_1RC0LC_0LD1LG_1LF0LE_1RZ1LF_0LA1LD_1RA1LC}}, with sigma scores of approximately 10 ↑↑ 22 and 10 ↑↑ 35. That evening, Terry Ligocki found {{TM|1RB0LG_1RC0RF_1LD1RZ_1LF0LE_1RA1LD_1LG1RE_0LB0LB}}, with sigma score ~10 ↑↑ 46. These were all outpaced by Pavel's champion.<br />
<br />
Pavel's champion is enumerated in subtask 243308.<br />
<br />
== Top Halters ==<br />
Based on limited search through a subset of the 1 million subtasks from mxdys's code, the top 20 scoring known machines are:<br />
{| class="wikitable"<br />
!TM<br />
!Approximate sigma score<br />
!Discoverer<br />
|-<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
|Pavel Kropitz<br />
|-<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LE_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LE_0RD0LG_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|@gerbil5709, Terry Ligocki<br />
|-<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|@Iijil<br />
|-<br />
|{{TM|1RB0RB_1LC1RG_1RD1RC_1RE0RA_1LF0LB_1RF0LE_0RD1RZ}}<br />
|10 ↑↑ 228.78<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LD_0LC1RZ_1RA0RD_1RE1LD_1LF0RC_0LG1LE_1RG0LD}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1LA_1LC0RE_0LD1LB_1RD0LA_1RF0RA_0RG0LA_1RB1RZ}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1LA_1LC0RE_0LD1LB_1RD0LA_1RF0RA_1RG0LA_0LE1RZ}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RG0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LG_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RF_0LD1LB_1RD0LE_1RB1LE_1RG0RE_0RA0LE}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LD_0LC1RZ_1RA0RD_1RE1LD_1LF0RC_0LG1LE_1RC0LD}}<br />
|10 ↑↑ 192.67<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1LA_1LC0RE_0LD1LB_1RE1LG_1RF0LG_0RA0LA_0RF1RZ}}<br />
|10 ↑↑ 192.67<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1LA_1LC0RF_0LD0RD_1RF1LE_1LB1RZ_1RG0RA_0RA0LA}}<br />
|10 ↑↑ 192.67<br />
|@C7X<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_1LG1RE_1LD0RF_0RA1RE_1RZ0RA}}<br />
|10 ↑↑ 188.28<br />
|@XnoobSpeakable, @Peacemaker II<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_0RF0LF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|}<br />
<br />
The top 20 known halters with unique scores are:<br />
<br />
{| class="wikitable"<br />
!TM<br />
!Approximate sigma score<br />
!Discoverer<br />
|-<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
|Pavel Kropitz<br />
|-<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|@Iijil<br />
|-<br />
|{{TM|1RB0RB_1LC1RG_1RD1RC_1RE0RA_1LF0LB_1RF0LE_0RD1RZ}}<br />
|10 ↑↑ 228.78<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC0LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LC}}<br />
|10 ↑↑ 140.28<br />
|@stokastic<br />
|-<br />
|{{TM|1RB0LG_0RC1RZ_1LD0LA_1RE1LE_1LC1RF_0RE0RA_0RF1LG}}<br />
|10 ↑↑ 133.85<br />
|@poppuncher<br />
|-<br />
|{{TM|1RB1RZ_1RC0RF_1LD1RB_1RG0LE_1LD0RA_1RE0LD_0RC1LF}}<br />
|10 ↑↑ 129.24<br />
|@Iijil<br />
|-<br />
|{{TM|1RB0LC_1RC0RG_1RD0LF_1RE0RF_1LA1RG_1LE1LF_1RZ1RD}}<br />
|10 ↑↑ 126.20<br />
|@stokastic<br />
|-<br />
|{{TM|1RB0LD_1RC1RA_0RD1RG_1LE1LF_0LF1LE_0RA0LD_0RA1RZ}}<br />
|10 ↑↑ 124.86<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1LF_1RC1RA_1LD0LD_1LA1LE_0LA0LD_1LG0RF_0LE1RZ}}<br />
|10 ↑↑ 116.98<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0RD_1RC0LA_0LA0LE_1RE1RZ_1RF0RA_1LG0LE_1LC0LG}}<br />
|10 ↑↑ 116.05<br />
|<br />
|-<br />
|{{TM|1RB0RD_1RC0RA_0RD1LD_0LE1LF_1LA0LG_0LC1LB_1LC1RZ}}<br />
|10 ↑↑ 115.52<br />
|@prurq<br />
|-<br />
|{{TM|1RB0RG_1LC0LE_1LD0LB_0LE1RE_0RA1RF_0RD1RC_1RD1RZ}}<br />
|10 ↑↑ 114.83<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RE_1LC0LA_1LD0LC_0LE0LA_1RF0RG_1RD0LE_1RA1RZ}}<br />
|10 ↑↑ 114.60<br />
|Shawn Ligocki<br />
|-<br />
|{{TM|1RB0RE_0RC1LC_0LD1LF_1LE0LG_1RA0RC_0LB1LA_1LB1RZ}}<br />
|10 ↑↑ 114.57<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RC_1LC1LD_1RA0RD_0LF1LE_0LB1LA_0RE0LG_1LB1RZ}}<br />
|10 ↑↑ 114.37<br />
|@C7X<br />
|-<br />
|<code>1RB0RG_1LC0LE_1LD0LB_1RB1RE_0RA1RF_0RD1RC_1RD1RZ</code> (bbch)<br />
|10 ↑↑ 113.38<br />
|Terry Ligocki<br />
|}<br />
<br />
== Current Progress ==<br />
This is a summary of the 1 million subtasks from mxdys's code that have been processed, including further processing by Shawn Ligocki's linear rule code ("TBD" = "To Be Determined"). A cell in '''bold font''' means no one has signed up to do either the enumeration or apply the Ligocki code for that row's subtasks. You can help, especially with applying the Ligocki filters! Download the enumerated TMs from the linked source in the far right column of the table below, put your name alongside the enumerator's in the "Done by" column, turn off the bold font on your chosen task range, and return with the number of holdouts, the maximum score TM, and its approximate sigma value when you're done.<br />
<br />
After downloading the Ligocki codebase `busy-beaver-main` [https://github.com/sligocki/busy-beaver here], you can install the dependencies by running `python3 -m pip install -r requirements.txt`, then perform the filtering on holdouts from subtasks between start_number and end_number by running the bash command:<syntaxhighlight lang="bash"><br />
for x in {start_number..end_number}; do busy-beaver-main/Code/Enumerate.py --infile your-path-to-holdouts/holdouts_${x}.txt --outfile your-save-path/bb7_${x}.out.pb -r --no-steps --exp-linear-rules --max-loops=100_000 --block-mult=2 --force --save-freq=100; done<br />
</syntaxhighlight><br />
{| class="wikitable defaultleft"<br />
! rowspan="2" |Task range<br />
! rowspan="2" |Done by<br />
! colspan="2" |Completed<br />
! rowspan="2" |# holdouts<br />
! rowspan="2" |Maximum Score TM<br />
! rowspan="2" |~Sigma<br />
! rowspan="2" |Source<br />
|-<br />
!enumeration<br />
!linear rule<br />
|-<br />
|00xxxx<br />
| rowspan="6" |@Iijil<br />
|Yes<br />
|Yes<br />
|728,495<br />
|{{TM|1RB0RF_1RC1LF_0RD0RD_1LE0LB_1RA1RZ_1LG1RA_1LD0RC}}<br />
|10 ↑↑ 45.64<br />
| rowspan="10" |[https://drive.google.com/drive/folders/1wniwrAuvsHfkvro8Tg65WAMNZEuIekzD Google Drive folder]<br />
|-<br />
|01xxxx<br />
|Yes<br />
|Yes<br />
|817,178<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|-<br />
|02xxxx<br />
|Yes<br />
|'''No'''<br />
|963,486<br />
|TBD<br />
|TBD<br />
|-<br />
|03xxxx<br />
|Yes<br />
|'''No'''<br />
|1,052,504<br />
|TBD<br />
|TBD<br />
|-<br />
|04xxxx<br />
|Yes<br />
|'''No'''<br />
|955,711<br />
|TBD<br />
|TBD<br />
|-<br />
|05xxxx<br />
|Yes<br />
|'''No'''<br />
|1,056,745<br />
|TBD<br />
|TBD<br />
|-<br />
|06xxxx<br />
| rowspan="4" |<br />
@Iijil<br/><br />
Andrew Ducharme<br />
|Yes<br />
|No<br />
|950,271<br />
|TBD<br />
|TBD<br />
|-<br />
|07xxxx<br />
|Yes<br />
|No<br />
|1,053,750<br />
|TBD<br />
|TBD<br />
|-<br />
|08xxxx<br />
|Yes<br />
|No<br />
|951,114<br />
|TBD<br />
|TBD<br />
|-<br />
|09xxxx<br />
|Yes<br />
|Yes<br />
|810,098<br />
|{{TM|1RB1RC_1LC0RA_1RA1RD_0RG1LE_1RD0LF_0LB1LE_1RZ1RB}}<br />
|10 ↑↑ 36.38<br />
|-<br />
|10-12xxxx<br />
|Andrew Ducharme<br />
|Yes<br />
|Yes<br />
|2,708,888<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LE_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|[https://drive.google.com/drive/folders/16uDjgOahkhAMWv3v-YWmxJG7xxsBvj4h?usp=sharing Google Drive folder]<br />
|-<br />
|13xxxx<br />
|Shawn Ligocki<br />
|Yes<br />
|Yes<br />
|1,192,442<br />
|{{TM|1RB0RE_1LC0LA_1LD0LC_0LE0LA_1RF0RG_1RD0LE_1RA1RZ}}<br />
|10 ↑↑ 114.60<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|14-16xxxx<br />
|Andrew Ducharme<br />
|Yes<br />
|Yes<br />
|2,701,637<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_0RF0LD_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|[https://drive.google.com/drive/folders/16uDjgOahkhAMWv3v-YWmxJG7xxsBvj4h?usp=sharing Google Drive folder]<br />
|-<br />
|17xxxx<br />
|@gerbil5709<br />
|Yes<br />
|'''No'''<br />
|1,431,558<br />
|TBD<br />
|TBD<br />
| rowspan="2" |[https://drive.google.com/drive/folders/1kAvBebeF09CEVocCk5bGKlDJfRN8co_i?usp=sharing Google Drive folder]<br />
|-<br />
|18xxxx<br />
|@gerbil5709<br />
|Yes<br />
|'''No'''<br />
|1,031,919<br />
|TBD<br />
|TBD<br />
|-<br />
|19xxxx<br />
|@isokate<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|<br />
|-<br />
|20-21xxxx<br />
| rowspan="2" | @C7X<br />
|Yes<br />
|Yes<br />
|1,543,948<br />
|{{TM|1RB1LA_1LC0RF_0LD0RD_1RF1LE_1LB1RZ_1RG0RA_0RA0LA}}<br />
|10↑↑192.67<br />
| rowspan="2" | [https://drive.google.com/drive/folders/11iGTKsvu2Y7aFrwOcWS1LYvcN6i_7-JM?usp=sharing Google Drive folder]<br />
|-<br />
|22-23xxxx<br />
|Yes<br />
|No<br />
|2,008,495<br />
|TBD<br />
|TBD<br />
|-<br />
|24xxxx<br />
|Andrew Ducharme<br />
|Yes<br />
|Yes<br />
|712,356<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}*<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3^*</math><br />
|[https://drive.google.com/drive/folders/16uDjgOahkhAMWv3v-YWmxJG7xxsBvj4h?usp=sharing Google Drive folder]<br />
|-<br />
|25-34xxxx<br />
|@stokastic<br />
|Yes<br />
|Yes<br />
|10,339,816<br />
|{{TM|1RB0LC_1LC0LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LC}}<br />
|10 ↑↑ 140.28<br />
|[https://drive.google.com/drive/folders/16_qIdWWD-wolj6zURB5ZSbY-otI4zoUF?usp=sharing Google Drive folder] <br />
|-<br />
|35-39xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|4,894,047<br />
|{{TM|1RB1RZ_1LC0RF_0LD1LB_1RD0LE_1RB1LE_1RG0RE_0RA0LE}}<br />
|10 ↑↑ 192.67<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|40-47xxxx<br />
|Andrew Ducharme<br />
|Yes<br />
|Yes<br />
|6,181,327<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|[https://drive.google.com/drive/folders/16uDjgOahkhAMWv3v-YWmxJG7xxsBvj4h?usp=sharing Google Drive folder]<br />
|-<br />
|48xxxx<br />
|@star<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|<br />
|-<br />
|49xxxx<br />
|Tobiáš Brichta<br />
|Yes<br />
|No<br />
|1,049,506<br />
|TBD<br />
|TBD<br />
|[https://drive.google.com/drive/folders/1-csgJ5uSIX3SKlqTkSnhkUuEYLKgCw81 Google Drive folder]<br />
|-<br />
|50xxxx<br />
|<br />
@prurq<br/><br />
Andrew Ducharme<br />
|Yes<br />
|No<br />
|1,029,239<br />
|{{TM|1RB0RD_1RC0RA_0RD1LD_0LE1LF_1LA0LG_0LC1LB_1LC1RZ}}<br />
|10 ↑↑ 115.52<br />
|[https://drive.google.com/drive/folders/145H4sT4F9KJYGSrlIETZdBOIMR7krLQm Google Drive folder]<br />
|-<br />
|51xxxx<br />
| rowspan="3" |<br />
@gerbil5709<br/><br />
Terry Ligocki<br />
|Yes<br />
|Yes<br />
|1,101,195<br />
|{{TM|1RB1RC_0RC1RB_0LD0RA_1LE0RA_1LF1LD_0LA1LG_0LD1RZ}}<br />
|10 ↑↑ 132.84<br />
| rowspan="3" |<br />
[https://drive.google.com/drive/folders/1kAvBebeF09CEVocCk5bGKlDJfRN8co_i?usp=sharing @gerbil5709]<br/><br />
[https://drive.google.com/drive/folders/1uaSs-CfT6yX2UIboCaNi2U651bEYa_y0?usp=drive_link Terry Ligocki]<br />
|-<br />
|52xxxx<br />
|Yes<br />
|Yes<br />
|807,349<br />
|{{TM|1RB0LG_1LC0RA_1LD0LB_0LE0RD_0RF1LA_1LA1RE_1RE1RZ}}<br />
|10 ↑↑ 61.28<br />
|-<br />
|53xxxx<br />
|Yes<br />
|No<br />
|1,441,903<br />
|TBD<br />
|TBD<br />
|-<br />
|54-59xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|5,689,850<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_0RF0RF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|60-64xxxx<br />
|<br />
@gerbil5709<br/><br />
Terry Ligocki<br />
|Yes<br />
|Yes<br />
|3,817,876<br />
||{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LE_0RD0LG_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|<br />
[https://drive.google.com/drive/folders/1kAvBebeF09CEVocCk5bGKlDJfRN8co_i?usp=sharing @gerbil5709]<br/><br />
[https://drive.google.com/drive/folders/1uaSs-CfT6yX2UIboCaNi2U651bEYa_y0?usp=drive_link Terry Ligocki]<br />
|-<br />
|65-68xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|3,076,778<br />
|{{TM|1RB0LD_0LC1RZ_1RA0RD_1RE1LD_1LF0RC_0LG1LE_1RG0LD}}<br />
|10 ↑↑ 192.67<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|69xxxx<br />
|@poppuncher<br />
|Yes<br />
|Yes<br />
|1,053,119<br />
|{{TM|1RB0LG_0RC1RZ_1LD0LA_1RE1LE_1LC1RF_0RE0RA_0RF1LG}}<br />
|10 ↑↑ 133.85<br />
|[https://drive.google.com/drive/folders/1KlCZqXxqVPuBPkDcCBocuMPA8paq9b8P?usp=drive_link Google Drive folder]<br />
|-<br />
|70-71xxxx<br />
|@hipparcos<br />
|Yes<br />
|Yes<br />
|1,899,094<br />
|{{TM|1RB1RZ_1LC1RD_0LD0LC_1LE1RA_1LF0LE_1RF0RG_1RG0RD}}<br />
|10 ↑↑ 77.50<br />
|[https://github.com/jhuang97/bb7x2/releases Github release]<br />
|-<br />
|72-79xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|7,627,514<br />
|{{TM|1RB0RB_1LC1RG_1RD1RC_1RE0RA_1LF0LB_1RF0LE_0RD1RZ}}<br />
|10 ↑↑ 228.78<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|80xxxx<br />
| rowspan="2" |@xnoobspeakable<br />
|Yes<br />
|No<br />
|964,396<br />
|TBD<br />
|TBD<br />
| rowspan="2" |[https://drive.google.com/drive/folders/1TpuEC7KottEmvsFnCREugnlVMPaY5ZHi?usp=sharing Google Drive folder]<br />
|-<br />
|81xxxx<br />
|Yes<br />
|No<br />
|1,046,139<br />
|TBD<br />
|TBD<br />
|-<br />
|82-99xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|15,673,786<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|}<br />
<nowiki>*</nowiki>The current BB(7) champion TM {{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}* was discovered by Pavel Kropitz in the enumeration of subtask 243308. The remaining subtasks in the 24xxxx range were enumerated and filtered by Andrew Ducharme.<br />
[[Category:BB Domain]]</div>
Gerbil
https://wiki.bbchallenge.org/w/index.php?title=BB(7)&diff=2358
BB(7)
2025-07-06T11:00:19Z
<p>Gerbil: /* Current Progress */</p>
<hr />
<div>The 7-state, 2-symbol Busy Beaver problem, '''BB(7)''', refers to the unsolved 7<sup>th</sup> value of the [[Busy Beaver function]]. With the compilation of the [[Cryptid]] machine [[Bigfoot]] into a 7-state, 2-symbol machine in May 2024, we now know that we must solve a [[Collatz-like]] problem in order to solve BB(7).<br />
<br />
The current BB(7) champion {{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}} was discovered by Pavel Kropitz in May 2025, proving the lower bound: <math display="block">S(7) > \Sigma(7) > 2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
<br />
== History ==<br />
Before 2025, the only known BB(7) champions were produced by hand, not by search. For example, Milton Green designed a machine in 1964 that had [[sigma score]] 22,961 and Wythagoras modified a BB(6) champion in 2014 to produce a machine that had sigma score <math>> 10 \uparrow\uparrow 5</math>.<br />
<br />
In May 2025, mxdys shared [https://github.com/ccz181078/TM C++ code] that breaks up the BB(7) enumeration into 1 million subtasks which each run for about 2 minutes and leave ~100 holdouts each. Various folks on Discord have been investigating different sections of this domain to search for champions.<br />
<br />
Within three days of the code's release, the Ligockis found three champions after applying their deciders to enumerator output. Shawn Ligocki found the first two, {{TM|1RB0RF_1LC0RE_1RD1LB_1LA1LD_0RA0LE_1RG0LB_1RZ1RB}} and {{TM|1RB1RA_1RC0LC_0LD1LG_1LF0LE_1RZ1LF_0LA1LD_1RA1LC}}, with sigma scores of approximately 10 ↑↑ 22 and 10 ↑↑ 35. That evening, Terry Ligocki found {{TM|1RB0LG_1RC0RF_1LD1RZ_1LF0LE_1RA1LD_1LG1RE_0LB0LB}}, with sigma score ~10 ↑↑ 46. These were all outpaced by Pavel's champion.<br />
<br />
Pavel's champion is enumerated in subtask 243308.<br />
<br />
== Top Halters ==<br />
Based on limited search through a subset of the 1 million subtasks from mxdys's code, the top 20 scoring known machines are:<br />
{| class="wikitable"<br />
!TM<br />
!Approximate sigma score<br />
!Discoverer<br />
|-<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
|Pavel Kropitz<br />
|-<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LE_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LE_0RD0LG_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|@gerbil5709, Terry Ligocki<br />
|-<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|@Iijil<br />
|-<br />
|{{TM|1RB0RB_1LC1RG_1RD1RC_1RE0RA_1LF0LB_1RF0LE_0RD1RZ}}<br />
|10 ↑↑ 228.78<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LD_0LC1RZ_1RA0RD_1RE1LD_1LF0RC_0LG1LE_1RG0LD}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1LA_1LC0RE_0LD1LB_1RD0LA_1RF0RA_0RG0LA_1RB1RZ}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1LA_1LC0RE_0LD1LB_1RD0LA_1RF0RA_1RG0LA_0LE1RZ}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RG0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LG_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RF_0LD1LB_1RD0LE_1RB1LE_1RG0RE_0RA0LE}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LD_0LC1RZ_1RA0RD_1RE1LD_1LF0RC_0LG1LE_1RC0LD}}<br />
|10 ↑↑ 192.67<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1LA_1LC0RE_0LD1LB_1RE1LG_1RF0LG_0RA0LA_0RF1RZ}}<br />
|10 ↑↑ 192.67<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1LA_1LC0RF_0LD0RD_1RF1LE_1LB1RZ_1RG0RA_0RA0LA}}<br />
|10 ↑↑ 192.67<br />
|@C7X<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_1LG1RE_1LD0RF_0RA1RE_1RZ0RA}}<br />
|10 ↑↑ 188.28<br />
|@XnoobSpeakable, @Peacemaker II<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_0RF0LF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|}<br />
<br />
The top 20 known halters with unique scores are:<br />
<br />
{| class="wikitable"<br />
!TM<br />
!Approximate sigma score<br />
!Discoverer<br />
|-<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
|Pavel Kropitz<br />
|-<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|@Iijil<br />
|-<br />
|{{TM|1RB0RB_1LC1RG_1RD1RC_1RE0RA_1LF0LB_1RF0LE_0RD1RZ}}<br />
|10 ↑↑ 228.78<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC0LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LC}}<br />
|10 ↑↑ 140.28<br />
|@stokastic<br />
|-<br />
|{{TM|1RB0LG_0RC1RZ_1LD0LA_1RE1LE_1LC1RF_0RE0RA_0RF1LG}}<br />
|10 ↑↑ 133.85<br />
|@poppuncher<br />
|-<br />
|{{TM|1RB1RZ_1RC0RF_1LD1RB_1RG0LE_1LD0RA_1RE0LD_0RC1LF}}<br />
|10 ↑↑ 129.24<br />
|@Iijil<br />
|-<br />
|{{TM|1RB0LC_1RC0RG_1RD0LF_1RE0RF_1LA1RG_1LE1LF_1RZ1RD}}<br />
|10 ↑↑ 126.20<br />
|@stokastic<br />
|-<br />
|{{TM|1RB0LD_1RC1RA_0RD1RG_1LE1LF_0LF1LE_0RA0LD_0RA1RZ}}<br />
|10 ↑↑ 124.86<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1LF_1RC1RA_1LD0LD_1LA1LE_0LA0LD_1LG0RF_0LE1RZ}}<br />
|10 ↑↑ 116.98<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0RD_1RC0LA_0LA0LE_1RE1RZ_1RF0RA_1LG0LE_1LC0LG}}<br />
|10 ↑↑ 116.05<br />
|<br />
|-<br />
|{{TM|1RB0RD_1RC0RA_0RD1LD_0LE1LF_1LA0LG_0LC1LB_1LC1RZ}}<br />
|10 ↑↑ 115.52<br />
|@prurq<br />
|-<br />
|{{TM|1RB0RG_1LC0LE_1LD0LB_0LE1RE_0RA1RF_0RD1RC_1RD1RZ}}<br />
|10 ↑↑ 114.83<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RE_1LC0LA_1LD0LC_0LE0LA_1RF0RG_1RD0LE_1RA1RZ}}<br />
|10 ↑↑ 114.60<br />
|Shawn Ligocki<br />
|-<br />
|{{TM|1RB0RE_0RC1LC_0LD1LF_1LE0LG_1RA0RC_0LB1LA_1LB1RZ}}<br />
|10 ↑↑ 114.57<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RC_1LC1LD_1RA0RD_0LF1LE_0LB1LA_0RE0LG_1LB1RZ}}<br />
|10 ↑↑ 114.37<br />
|@C7X<br />
|-<br />
|<code>1RB0RG_1LC0LE_1LD0LB_1RB1RE_0RA1RF_0RD1RC_1RD1RZ</code> (bbch)<br />
|10 ↑↑ 113.38<br />
|Terry Ligocki<br />
|}<br />
<br />
== Current Progress ==<br />
This is a summary of the 1 million subtasks from mxdys's code that have been processed, including further processing by Shawn Ligocki's linear rule code ("TBD" = "To Be Determined"). A cell in '''bold font''' means no one has signed up to do either the enumeration or apply the Ligocki code for that row's subtasks. You can help, especially with applying the Ligocki filters! Download the enumerated TMs from the linked source in the far right column of the table below, put your name alongside the enumerator's in the "Done by" column, turn off the bold font on your chosen task range, and return with the number of holdouts, the maximum score TM, and its approximate sigma value when you're done.<br />
<br />
After downloading the Ligocki codebase `busy-beaver-main` [https://github.com/sligocki/busy-beaver here], you can install the dependencies by running `python3 -m pip install -r requirements.txt`, then perform the filtering on holdouts from subtasks between start_number and end_number by running the bash command:<syntaxhighlight lang="bash"><br />
for x in {start_number..end_number}; do busy-beaver-main/Code/Enumerate.py --infile your-path-to-holdouts/holdouts_${x}.txt --outfile your-save-path/bb7_${x}.out.pb -r --no-steps --exp-linear-rules --max-loops=100_000 --block-mult=2 --force --save-freq=100; done<br />
</syntaxhighlight><br />
{| class="wikitable defaultleft"<br />
! rowspan="2" |Task range<br />
! rowspan="2" |Done by<br />
! colspan="2" |Completed<br />
! rowspan="2" |# holdouts<br />
! rowspan="2" |Maximum Score TM<br />
! rowspan="2" |~Sigma<br />
! rowspan="2" |Source<br />
|-<br />
!enumeration<br />
!linear rule<br />
|-<br />
|00xxxx<br />
| rowspan="6" |@Iijil<br />
|Yes<br />
|Yes<br />
|728,495<br />
|{{TM|1RB0RF_1RC1LF_0RD0RD_1LE0LB_1RA1RZ_1LG1RA_1LD0RC}}<br />
|10 ↑↑ 45.64<br />
| rowspan="10" |[https://drive.google.com/drive/folders/1wniwrAuvsHfkvro8Tg65WAMNZEuIekzD Google Drive folder]<br />
|-<br />
|01xxxx<br />
|Yes<br />
|Yes<br />
|817,178<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|-<br />
|02xxxx<br />
|Yes<br />
|'''No'''<br />
|963,486<br />
|TBD<br />
|TBD<br />
|-<br />
|03xxxx<br />
|Yes<br />
|'''No'''<br />
|1,052,504<br />
|TBD<br />
|TBD<br />
|-<br />
|04xxxx<br />
|Yes<br />
|'''No'''<br />
|955,711<br />
|TBD<br />
|TBD<br />
|-<br />
|05xxxx<br />
|Yes<br />
|'''No'''<br />
|1,056,745<br />
|TBD<br />
|TBD<br />
|-<br />
|06xxxx<br />
| rowspan="4" |<br />
@Iijil<br/><br />
Andrew Ducharme<br />
|Yes<br />
|No<br />
|950,271<br />
|TBD<br />
|TBD<br />
|-<br />
|07xxxx<br />
|Yes<br />
|No<br />
|1,053,750<br />
|TBD<br />
|TBD<br />
|-<br />
|08xxxx<br />
|Yes<br />
|No<br />
|951,114<br />
|TBD<br />
|TBD<br />
|-<br />
|09xxxx<br />
|Yes<br />
|Yes<br />
|810,098<br />
|{{TM|1RB1RC_1LC0RA_1RA1RD_0RG1LE_1RD0LF_0LB1LE_1RZ1RB}}<br />
|10 ↑↑ 36.38<br />
|-<br />
|10xxxx<br />
| rowspan="3" |Andrew Ducharme<br />
|Yes<br />
|Yes<br />
|802,059<br />
|{{TM|1RB0LG_1RC0RA_1LD0LE_1LG1LC_1LF0RB_0LC0RC_1LA1RZ}}<br />
|10 ↑↑ 40.79<br />
| rowspan="3" |[https://drive.google.com/drive/folders/16uDjgOahkhAMWv3v-YWmxJG7xxsBvj4h?usp=sharing Google Drive folder]<br />
|-<br />
|11xxxx<br />
|Yes<br />
|Yes<br />
|1,105,947<br />
|{{TM|1RB0RG_1LC0LE_1LD0LB_0LE1RE_0RA1RF_0RD1RC_1RD1RZ}}<br />
|10 ↑↑ 114.83<br />
|-<br />
|12xxxx<br />
|Yes<br />
|Yes<br />
|800,882<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LE_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|-<br />
|13xxxx<br />
|Shawn Ligocki<br />
|Yes<br />
|Yes<br />
|1,192,442<br />
|{{TM|1RB0RE_1LC0LA_1LD0LC_0LE0LA_1RF0RG_1RD0LE_1RA1RZ}}<br />
|10 ↑↑ 114.60<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|14xxxx<br />
| rowspan="3" |Andrew Ducharme<br />
|Yes<br />
|Yes<br />
|797,532<br />
|{{TM|1RB0LC_1LC0LD_1LA1LB_0LG1RE_0RF0LD_0RA1RE_1RZ1LC}}<br />
|10 ↑↑ 140.28<br />
| rowspan="3" |[https://drive.google.com/drive/folders/16uDjgOahkhAMWv3v-YWmxJG7xxsBvj4h?usp=sharing Google Drive folder]<br />
|-<br />
|15xxxx<br />
|Yes<br />
|Yes<br />
|1,106,978<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_0RF0LD_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|-<br />
|16xxxx<br />
|Yes<br />
|Yes<br />
|797,127<br />
|{{TM|1RB0LC_1LC0LD_1LA1LB_1LG1RE_0RF0LG_0RA1RE_1RZ0RC}}<br />
|10 ↑↑ 140.28<br />
|-<br />
|17xxxx<br />
|@gerbil5709<br />
|Yes<br />
|'''No'''<br />
|1,431,558<br />
|TBD<br />
|TBD<br />
| rowspan="2" |[https://drive.google.com/drive/folders/1kAvBebeF09CEVocCk5bGKlDJfRN8co_i?usp=sharing Google Drive folder]<br />
|-<br />
|18xxxx<br />
|@gerbil5709<br />
|No<br />
|'''No'''<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|19xxxx<br />
|@isokate<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|<br />
|-<br />
|<br />
20xxxx -<br/><br />
21xxxx<br />
| rowspan="2" | @C7X<br />
|Yes<br />
|Yes<br />
|1,543,948<br />
|{{TM|1RB1LA_1LC0RF_0LD0RD_1RF1LE_1LB1RZ_1RG0RA_0RA0LA}}<br />
|10↑↑192.67<br />
| rowspan="2" | [https://drive.google.com/drive/folders/11iGTKsvu2Y7aFrwOcWS1LYvcN6i_7-JM?usp=sharing Google Drive folder]<br />
|-<br />
|<br />
22xxxx -<br/><br />
23xxxx<br />
|Yes<br />
|No<br />
|2,008,495<br />
|TBD<br />
|TBD<br />
|-<br />
|24xxxx<br />
|Andrew Ducharme<br />
|Yes<br />
|Yes<br />
|712,356<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}*<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3^*</math><br />
|[https://drive.google.com/drive/folders/16uDjgOahkhAMWv3v-YWmxJG7xxsBvj4h?usp=sharing Google Drive folder]<br />
|-<br />
|25xxxx<br />
| rowspan="10" |@stokastic<br />
|Yes<br />
|Yes<br />
|815,919<br />
|{{TM|1RB1RZ_1LC0LE_0LD0LC_0RE1LB_1RF0RG_0LD1RB_1RD1RA}}<br />
|10 ↑↑ 31.33<br />
| rowspan="10" |[https://drive.google.com/drive/folders/16_qIdWWD-wolj6zURB5ZSbY-otI4zoUF?usp=sharing Google Drive folder] <br />
|-<br />
|26xxxx<br />
|Yes<br />
|Yes<br />
|731,995<br />
|{{TM|1RB1RZ_0LC1RB_0LE0LD_1LE1LD_0RF0LC_0RG1RF_1RD0RA}}<br />
|10 ↑↑ 36.26<br />
|-<br />
|27xxxx<br />
|Yes<br />
|Yes<br />
|811,486<br />
|{{TM|1RB0RG_1LC1LB_0RE0LD_0LC1RF_0RA1RE_0LF0LB_1RF1RZ}}<br />
|10 ↑↑ 63.56<br />
|-<br />
|28xxxx<br />
|Yes<br />
|Yes<br />
|956,935<br />
|{{TM|1RB1RZ_0LC1RC_0RE1RD_0RB1RG_1RF0RA_1LG0LC_1LB0LF}}<br />
|10 ↑↑ 114.57<br />
|-<br />
|29xxxx<br />
|Yes<br />
|Yes<br />
|1,052,415<br />
|{{TM|1RB1LA_1RC1RD_0LA1LG_1RZ0LE_1RB1RF_1RE0LC_0RE1LF}}<br />
|10 ↑↑ 31.67<br />
|-<br />
|30xxxx<br />
|Yes<br />
|Yes<br />
|1,032,095<br />
|{{TM|1RB0LC_1RC0RG_1RD0LF_1RE0RF_1LA1RG_1LE1LF_1RZ1RD}}<br />
|10 ↑↑ 126.20<br />
|-<br />
|31xxxx<br />
|Yes<br />
|Yes<br />
|1,436,970<br />
|{{TM|1RB1LD_1LC0RF_0RA0LB_0LE1RZ_1LA0LE_1RG1LA_0RC0RF}}<br />
|10 ↑↑ 50.27<br />
|-<br />
|32xxxx<br />
|Yes<br />
|Yes<br />
|1,036,950<br />
|{{TM|1RB1RD_1LC0RF_0LE0LD_1LE1LE_1RF0LB_1RB0RG_1RA1RZ}}<br />
|10 ↑↑ 50.28<br />
|-<br />
|33xxxx<br />
|Yes<br />
|Yes<br />
|1,432,081<br />
|{{TM|1RB0LC_1LC0LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LC}}<br />
|10 ↑↑ 140.28<br />
|-<br />
|34xxxx<br />
|Yes<br />
|Yes<br />
|1,032,970<br />
|{{TM|1RB0RA_1LC0LE_0LD0LB_1RE0RD_0RA0LF_1RD1RG_0RF1RZ}}<br />
|10 ↑↑ 72.69<br />
|-<br />
|<br />
35xxxx -<br/><br />
39xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|4,894,047<br />
|{{TM|1RB1RZ_1LC0RF_0LD1LB_1RD0LE_1RB1LE_1RG0RE_0RA0LE}}<br />
|10 ↑↑ 192.67<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|40xxxx<br />
| rowspan="8" |Andrew Ducharme<br />
|Yes<br />
|Yes<br />
|730,310<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
| rowspan="8" |[https://drive.google.com/drive/folders/16uDjgOahkhAMWv3v-YWmxJG7xxsBvj4h?usp=sharing Google Drive folder]<br />
|-<br />
|41xxxx<br />
|Yes<br />
|Yes<br />
|814,075<br />
|{{TM|1RB0LD_0LC1RZ_1RA0RD_1RE1LD_1LF0RC_0LG1LE_1RC0LD}}<br />
|10 ↑↑ 192.67<br />
|-<br />
|42xxxx<br />
|Yes<br />
|Yes<br />
|739,729<br />
|{{TM|1RB1LD_0RC1RF_1LD0LE_0LE0LA_1LA1LE_1RG0LA_1RZ1RA}}<br />
|10 ↑↑ 46.26<br />
|-<br />
|43xxxx<br />
|Yes<br />
|Yes<br />
|817,332<br />
|{{TM|1RB0LE_1RC1RA_1RD0RG_1LA1RZ_1RA1LF_1LA0LE_0RF1RG}}<br />
|10 ↑↑ 93.81<br />
|-<br />
|44xxxx<br />
|Yes<br />
|Yes<br />
|729,686<br />
|{{TM|1RB1LC_1RC0RC_1RD1LA_0RE1RF_1LC0LG_1LA1LE_1RZ1LF}}<br />
|10 ↑↑ 76.36<br />
|-<br />
|45xxxx<br />
|Yes<br />
|Yes<br />
|812,973<br />
|{{TM|1RB0RE_0RC1LC_0LD1LF_1LE0LG_1RA0RC_0LB1LA_1LB1RZ}}<br />
|10 ↑↑ 114.57<br />
|-<br />
|46xxxx<br />
|Yes<br />
|Yes<br />
|725,102<br />
|{{TM|1RB1RA_0LC0RE_0LD1LC_1LA0LF_0RB0RA_1LG1RZ_0RE1LG}}<br />
|10 ↑↑ 36.26<br />
|-<br />
|47xxxx<br />
|Yes<br />
|Yes<br />
|812120<br />
|{{TM|1RB1LA_1LC0RE_0LD1LB_1RE1LG_1RF0LG_0RA0LA_0RF1RZ}}<br />
|10 ↑↑ 192.67<br />
|-<br />
|48xxxx<br />
| rowspan="2" |Tobiáš Brichta<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
| rowspan="2" |[https://drive.google.com/drive/folders/1-csgJ5uSIX3SKlqTkSnhkUuEYLKgCw81 Google Drive folder]<br />
|-<br />
|49xxxx<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|50xxxx<br />
|@prurq<br />
|No<br />
|No<br />
|~1.08M<br />
|{{TM|1RB0RD_1RC0RA_0RD1LD_0LE1LF_1LA0LG_0LC1LB_1LC1RZ}}<br />
|10 ↑↑ 115.52<br />
|[https://drive.google.com/drive/folders/145H4sT4F9KJYGSrlIETZdBOIMR7krLQm Google Drive folder]<br />
|-<br />
|51xxxx<br />
| rowspan="3" |@gerbil5709<br />
|Yes<br />
|'''No'''<br />
|1,436,814<br />
|TBD<br />
|TBD<br />
| rowspan="3" |[https://drive.google.com/drive/folders/1kAvBebeF09CEVocCk5bGKlDJfRN8co_i?usp=sharing Google Drive folder]<br />
|-<br />
|52xxxx<br />
|Yes<br />
|'''No'''<br />
|1,039,795<br />
|TBD<br />
|TBD<br />
|-<br />
|53xxxx<br />
|Yes<br />
|'''No'''<br />
|1,441,903<br />
|TBD<br />
|TBD<br />
|-<br />
|<br />
54xxxx -<br/><br />
59xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|5,689,850<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_0RF0RF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|60xxxx<br />
| rowspan="5" |<br />
@gerbil5709<br/><br />
Terry Ligocki<br />
|Yes<br />
|No<br />
|957,769<br />
|TBD<br />
|TBD<br />
| rowspan="5" |<br />
@gerbil5709<br/><br />
[https://drive.google.com/drive/folders/1kAvBebeF09CEVocCk5bGKlDJfRN8co_i?usp=sharing Google Drive folder]<br/><br />
Terry Ligocki<br/><br />
[https://drive.google.com/drive/folders/1uaSs-CfT6yX2UIboCaNi2U651bEYa_y0?usp=drive_link Google Drive folder]<br />
|-<br />
|61xxxx<br />
|Yes<br />
|Yes<br />
|812,128<br />
|{{TM|1RB1RA_1RC0RF_1LD0RB_1LE0LC_1LA0LE_0RC0RG_1RZ0LA}}<br />
|10 ↑↑ 73.18<br />
|-<br />
|62xxxx<br />
|Yes<br />
|Yes<br />
|732,742<br />
|{{TM|1RB0LG_1RC0RE_1LD1LC_1LA1RE_1RZ1RF_1RD0RC_1LD0LC}}<br />
|10 ↑↑ 126.20<br />
|-<br />
|63xxxx<br />
|Yes<br />
|Yes<br />
|813,627<br />
|{{TM|1RB0RC_1RC1RZ_1LD0RF_0LE1LE_1RG0LF_1LE0LA_1RA0RE}}<br />
|10 ↑↑ 26.01<br />
|-<br />
|64xxxx<br />
|Yes<br />
|Yes<br />
|729,885<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LE_0RD0LG_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|-<br />
|<br />
65xxxx -<br/><br />
68xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|3,076,778<br />
|{{TM|1RB0LD_0LC1RZ_1RA0RD_1RE1LD_1LF0RC_0LG1LE_1RG0LD}}<br />
|10 ↑↑ 192.67<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|69xxxx<br />
|@poppuncher<br />
|Yes<br />
|Yes<br />
|1,053,119<br />
|{{TM|1RB0LG_0RC1RZ_1LD0LA_1RE1LE_1LC1RF_0RE0RA_0RF1LG}}<br />
|10 ↑↑ 133.85<br />
|[https://drive.google.com/drive/folders/1KlCZqXxqVPuBPkDcCBocuMPA8paq9b8P?usp=drive_link Google Drive folder]<br />
|-<br />
|70xxxx<br />
| rowspan="2" |@hipparcos<br />
|Yes<br />
|Yes<br />
|798,304<br />
|{{TM|1RB0LF_1RC1LE_0RD1RA_1RE1RG_0LA1LB_1LE1RG_0RC1RZ}}<br />
|10 ↑↑ 33.81<br />
|[https://github.com/jhuang97/bb7x2/releases/tag/70xxxx Github release]<br />
|-<br />
|71xxxx<br />
|Yes<br />
|Yes<br />
|1,100,790<br />
|{{TM|1RB1RZ_1LC1RD_0LD0LC_1LE1RA_1LF0LE_1RF0RG_1RG0RD}}<br />
|10 ↑↑ 77.50<br />
|[https://github.com/jhuang97/bb7x2/releases/tag/71xxxx Github release]<br />
|-<br />
|<br />
72xxxx -<br/><br />
79xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|7,627,514<br />
|{{TM|1RB0RB_1LC1RG_1RD1RC_1RE0RA_1LF0LB_1RF0LE_0RD1RZ}}<br />
|10 ↑↑ 228.78<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|80xxxx<br />
| rowspan="2" |@xnoobspeakable<br />
|Yes<br />
|No<br />
|964,396<br />
|TBD<br />
|TBD<br />
| rowspan="2" |[https://drive.google.com/drive/folders/1TpuEC7KottEmvsFnCREugnlVMPaY5ZHi?usp=sharing Google Drive folder]<br />
|-<br />
|81xxxx<br />
|Yes<br />
|No<br />
|1,046,139<br />
|TBD<br />
|TBD<br />
|-<br />
|<br />
82xxxx -<br/><br />
99xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|15,673,786<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|}<br />
<nowiki>*</nowiki>The current BB(7) champion TM {{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}* was discovered by Pavel Kropitz in the enumeration of subtask 243308. The remaining subtasks in the 24xxxx range were enumerated and filtered by Andrew Ducharme.<br />
[[Category:BB Domain]]</div>
Gerbil
https://wiki.bbchallenge.org/w/index.php?title=BB(7)&diff=2348
BB(7)
2025-07-04T12:28:45Z
<p>Gerbil: /* Current Progress */</p>
<hr />
<div>The 7-state, 2-symbol Busy Beaver problem, '''BB(7)''', refers to the unsolved 7<sup>th</sup> value of the [[Busy Beaver function]]. With the compilation of the [[Cryptid]] machine [[Bigfoot]] into a 7-state, 2-symbol machine in May 2024, we now know that we must solve a [[Collatz-like]] problem in order to solve BB(7).<br />
<br />
The current BB(7) champion {{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}} was discovered by Pavel Kropitz in May 2025, proving the lower bound: <math display="block">S(7) > \Sigma(7) > 2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
<br />
== History ==<br />
Before 2025, the only known BB(7) champions were produced by hand, not by search. For example, Milton Green designed a machine in 1964 that had [[sigma score]] 22,961 and Wythagoras modified a BB(6) champion in 2014 to produce a machine that had sigma score <math>> 10 \uparrow\uparrow 5</math>.<br />
<br />
In May 2025, mxdys shared [https://github.com/ccz181078/TM C++ code] that breaks up the BB(7) enumeration into 1 million subtasks which each run for about 2 minutes and leave ~100 holdouts each. Various folks on Discord have been investigating different sections of this domain to search for champions.<br />
<br />
Within three days of the code's release, the Ligockis found three champions after applying their deciders to enumerator output. Shawn Ligocki found the first two, {{TM|1RB0RF_1LC0RE_1RD1LB_1LA1LD_0RA0LE_1RG0LB_1RZ1RB}} and {{TM|1RB1RA_1RC0LC_0LD1LG_1LF0LE_1RZ1LF_0LA1LD_1RA1LC}}, with sigma scores of approximately 10 ↑↑ 22 and 10 ↑↑ 35. That evening, Terry Ligocki found {{TM|1RB0LG_1RC0RF_1LD1RZ_1LF0LE_1RA1LD_1LG1RE_0LB0LB}}, with sigma score ~10 ↑↑ 46. These were all outpaced by Pavel's champion.<br />
<br />
Pavel's champion is enumerated in subtask 243308.<br />
<br />
== Top Halters ==<br />
Based on limited search through a subset of the 1 million subtasks from mxdys's code, the top 20 scoring known machines are:<br />
{| class="wikitable"<br />
!TM<br />
!Approximate sigma score<br />
!Discoverer<br />
|-<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
|Pavel Kropitz<br />
|-<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LE_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|@Iijil<br />
|-<br />
|{{TM|1RB0RB_1LC1RG_1RD1RC_1RE0RA_1LF0LB_1RF0LE_0RD1RZ}}<br />
|10 ↑↑ 228.78<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LD_0LC1RZ_1RA0RD_1RE1LD_1LF0RC_0LG1LE_1RG0LD}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1LA_1LC0RE_0LD1LB_1RD0LA_1RF0RA_0RG0LA_1RB1RZ}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1LA_1LC0RE_0LD1LB_1RD0LA_1RF0RA_1RG0LA_0LE1RZ}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RG0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LG_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RF_0LD1LB_1RD0LE_1RB1LE_1RG0RE_0RA0LE}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LD_0LC1RZ_1RA0RD_1RE1LD_1LF0RC_0LG1LE_1RC0LD}}<br />
|10 ↑↑ 192.67<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1LA_1LC0RE_0LD1LB_1RE1LG_1RF0LG_0RA0LA_0RF1RZ}}<br />
|10 ↑↑ 192.67<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1LA_1LC0RF_0LD0RD_1RF1LE_1LB1RZ_1RG0RA_0RA0LA}}<br />
|10 ↑↑ 192.67<br />
|@C7X<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_1LG1RE_1LD0RF_0RA1RE_1RZ0RA}}<br />
|10 ↑↑ 188.28<br />
|@XnoobSpeakable, @Peacemaker II<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_0RF0LF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LF0RF_0RA1RE_1RZ0RE}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|}<br />
<br />
The top 20 known halters with unique scores are:<br />
<br />
{| class="wikitable"<br />
!TM<br />
!Approximate sigma score<br />
!Discoverer<br />
|-<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
|Pavel Kropitz<br />
|-<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|@Iijil<br />
|-<br />
|{{TM|1RB0RB_1LC1RG_1RD1RC_1RE0RA_1LF0LB_1RF0LE_0RD1RZ}}<br />
|10 ↑↑ 228.78<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC0LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LC}}<br />
|10 ↑↑ 140.28<br />
|@stokastic<br />
|-<br />
|{{TM|1RB0LG_0RC1RZ_1LD0LA_1RE1LE_1LC1RF_0RE0RA_0RF1LG}}<br />
|10 ↑↑ 133.85<br />
|@poppuncher<br />
|-<br />
|{{TM|1RB1RZ_1RC0RF_1LD1RB_1RG0LE_1LD0RA_1RE0LD_0RC1LF}}<br />
|10 ↑↑ 129.24<br />
|@Iijil<br />
|-<br />
|{{TM|1RB0LC_1RC0RG_1RD0LF_1RE0RF_1LA1RG_1LE1LF_1RZ1RD}}<br />
|10 ↑↑ 126.20<br />
|@stokastic<br />
|-<br />
|{{TM|1RB0LD_1RC1RA_0RD1RG_1LE1LF_0LF1LE_0RA0LD_0RA1RZ}}<br />
|10 ↑↑ 124.86<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1LF_1RC1RA_1LD0LD_1LA1LE_0LA0LD_1LG0RF_0LE1RZ}}<br />
|10 ↑↑ 116.98<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0RD_1RC0LA_0LA0LE_1RE1RZ_1RF0RA_1LG0LE_1LC0LG}}<br />
|10 ↑↑ 116.05<br />
|<br />
|-<br />
|{{TM|1RB0RD_1RC0RA_0RD1LD_0LE1LF_1LA0LG_0LC1LB_1LC1RZ}}<br />
|10 ↑↑ 115.52<br />
|@prurq<br />
|-<br />
|{{TM|1RB0RG_1LC0LE_1LD0LB_0LE1RE_0RA1RF_0RD1RC_1RD1RZ}}<br />
|10 ↑↑ 114.83<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RE_1LC0LA_1LD0LC_0LE0LA_1RF0RG_1RD0LE_1RA1RZ}}<br />
|10 ↑↑ 114.60<br />
|Shawn Ligocki<br />
|-<br />
|{{TM|1RB0RE_0RC1LC_0LD1LF_1LE0LG_1RA0RC_0LB1LA_1LB1RZ}}<br />
|10 ↑↑ 114.57<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RC_1LC1LD_1RA0RD_0LF1LE_0LB1LA_0RE0LG_1LB1RZ}}<br />
|10 ↑↑ 114.37<br />
|@C7X<br />
|-<br />
|<code>1RB0RG_1LC0LE_1LD0LB_1RB1RE_0RA1RF_0RD1RC_1RD1RZ</code> (bbch)<br />
|10 ↑↑ 113.38<br />
|Terry Ligocki<br />
|}<br />
<br />
== Current Progress ==<br />
This is a summary of the 1 million subtasks from mxdys's code that have been processed, including further processing by Shawn Ligocki's linear rule code ("TBD" = "To Be Determined"). A cell in '''bold font''' means no one has signed up to do either the enumeration or apply the Ligocki code for that row's subtasks. You can help, especially with applying the Ligocki filters! Download the enumerated TMs from the linked source in the far right column of the table below, put your name alongside the enumerator's in the "Done by" column, turn off the bold font on your chosen task range, and return with the number of holdouts, the maximum score TM, and its approximate sigma value when you're done.<br />
<br />
After downloading the Ligocki codebase `busy-beaver-main` [https://github.com/sligocki/busy-beaver here], you can install the dependencies by running `python3 -m pip install -r requirements.txt`, then perform the filtering on holdouts from subtasks between start_number and end_number by running the bash command:<syntaxhighlight lang="bash"><br />
for x in {start_number..end_number}; do busy-beaver-main/Code/Enumerate.py --infile your-path-to-holdouts/holdouts_${x}.txt --outfile your-save-path/bb7_${x}.out.pb -r --no-steps --exp-linear-rules --max-loops=100_000 --block-mult=2 --force --save-freq=100; done<br />
</syntaxhighlight><br />
{| class="wikitable defaultleft"<br />
! rowspan="2" |Task range<br />
! rowspan="2" |Done by<br />
! colspan="2" |Completed<br />
! rowspan="2" |# holdouts<br />
! rowspan="2" |Maximum Score TM<br />
! rowspan="2" |~Sigma<br />
! rowspan="2" |Source<br />
|-<br />
!enumeration<br />
!linear rule<br />
|-<br />
|00xxxx<br />
| rowspan="6" |@Iijil<br />
|Yes<br />
|Yes<br />
|728,495<br />
|{{TM|1RB0RF_1RC1LF_0RD0RD_1LE0LB_1RA1RZ_1LG1RA_1LD0RC}}<br />
|10 ↑↑ 45.64<br />
| rowspan="10" |[https://drive.google.com/drive/folders/1wniwrAuvsHfkvro8Tg65WAMNZEuIekzD Google Drive folder]<br />
|-<br />
|01xxxx<br />
|Yes<br />
|Yes<br />
|817,178<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|-<br />
|02xxxx<br />
|Yes<br />
|'''No'''<br />
|963,486<br />
|TBD<br />
|TBD<br />
|-<br />
|03xxxx<br />
|Yes<br />
|'''No'''<br />
|1,052,504<br />
|TBD<br />
|TBD<br />
|-<br />
|04xxxx<br />
|Yes<br />
|'''No'''<br />
|955,711<br />
|TBD<br />
|TBD<br />
|-<br />
|05xxxx<br />
|Yes<br />
|'''No'''<br />
|1,056,745<br />
|TBD<br />
|TBD<br />
|-<br />
|06xxxx<br />
| rowspan="4" |<br />
@Iijil<br/><br />
Andrew Ducharme<br />
|Yes<br />
|No<br />
|950,271<br />
|TBD<br />
|TBD<br />
|-<br />
|07xxxx<br />
|Yes<br />
|No<br />
|1,053,750<br />
|TBD<br />
|TBD<br />
|-<br />
|08xxxx<br />
|Yes<br />
|No<br />
|951,114<br />
|TBD<br />
|TBD<br />
|-<br />
|09xxxx<br />
|Yes<br />
|Yes<br />
|810,098<br />
|{{TM|1RB1RC_1LC0RA_1RA1RD_0RG1LE_1RD0LF_0LB1LE_1RZ1RB}}<br />
|10 ↑↑ 36.38<br />
|-<br />
|10xxxx<br />
| rowspan="3" |Andrew Ducharme<br />
|Yes<br />
|Yes<br />
|802,059<br />
|{{TM|1RB0LG_1RC0RA_1LD0LE_1LG1LC_1LF0RB_0LC0RC_1LA1RZ}}<br />
|10 ↑↑ 40.79<br />
| rowspan="3" |[https://drive.google.com/drive/folders/16uDjgOahkhAMWv3v-YWmxJG7xxsBvj4h?usp=sharing Google Drive folder]<br />
|-<br />
|11xxxx<br />
|Yes<br />
|Yes<br />
|1,105,947<br />
|{{TM|1RB0RG_1LC0LE_1LD0LB_0LE1RE_0RA1RF_0RD1RC_1RD1RZ}}<br />
|10 ↑↑ 114.83<br />
|-<br />
|12xxxx<br />
|Yes<br />
|Yes<br />
|800,882<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LE_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|-<br />
|13xxxx<br />
|Shawn Ligocki<br />
|Yes<br />
|Yes<br />
|1,192,442<br />
|{{TM|1RB0RE_1LC0LA_1LD0LC_0LE0LA_1RF0RG_1RD0LE_1RA1RZ}}<br />
|10 ↑↑ 114.60<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|14xxxx<br />
| rowspan="3" |Andrew Ducharme<br />
|Yes<br />
|Yes<br />
|797,532<br />
|{{TM|1RB0LC_1LC0LD_1LA1LB_0LG1RE_0RF0LD_0RA1RE_1RZ1LC}}<br />
|10 ↑↑ 140.28<br />
| rowspan="3" |[https://drive.google.com/drive/folders/16uDjgOahkhAMWv3v-YWmxJG7xxsBvj4h?usp=sharing Google Drive folder]<br />
|-<br />
|15xxxx<br />
|Yes<br />
|Yes<br />
|1,106,978<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_0RF0LD_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|-<br />
|16xxxx<br />
|Yes<br />
|Yes<br />
|797,127<br />
|{{TM|1RB0LC_1LC0LD_1LA1LB_1LG1RE_0RF0LG_0RA1RE_1RZ0RC}}<br />
|10 ↑↑ 140.28<br />
|-<br />
|17xxxx<br />
|@gerbil5709<br />
|No<br />
|'''No'''<br />
|TBD<br />
|TBD<br />
|TBD<br />
|[https://drive.google.com/drive/folders/1kAvBebeF09CEVocCk5bGKlDJfRN8co_i?usp=sharing Google Drive folder]<br />
|-<br />
|'''18xxxx'''<br />
|<br />
|'''No'''<br />
|'''No'''<br />
|<br />
|<br />
|<br />
|<br />
|-<br />
|19xxxx<br />
|@isokate<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|<br />
|-<br />
|<br />
20xxxx -<br /><br />
21xxxx<br />
| rowspan="2" | @C7X<br />
|Yes<br />
|Yes<br />
|1,543,948<br />
|{{TM|1RB1LA_1LC0RF_0LD0RD_1RF1LE_1LB1RZ_1RG0RA_0RA0LA}}<br />
|10↑↑192.67<br />
| rowspan="2" | [https://drive.google.com/drive/folders/11iGTKsvu2Y7aFrwOcWS1LYvcN6i_7-JM?usp=sharing Google Drive folder]<br />
|-<br />
|<br />
22xxxx -<br /><br />
23xxxx<br />
|Yes<br />
|No<br />
|2,008,495<br />
|TBD<br />
|TBD<br />
|-<br />
|24xxxx<br />
|Andrew Ducharme<br />
|Yes<br />
|Yes<br />
|712,356<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}*<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3^*</math><br />
|[https://drive.google.com/drive/folders/16uDjgOahkhAMWv3v-YWmxJG7xxsBvj4h?usp=sharing Google Drive folder]<br />
|-<br />
|25xxxx<br />
| rowspan="10" |@stokastic<br />
|Yes<br />
|Yes<br />
|815,919<br />
|{{TM|1RB1RZ_1LC0LE_0LD0LC_0RE1LB_1RF0RG_0LD1RB_1RD1RA}}<br />
|10 ↑↑ 31.33<br />
| rowspan="10" |[https://drive.google.com/drive/folders/16_qIdWWD-wolj6zURB5ZSbY-otI4zoUF?usp=sharing Google Drive folder] <br />
|-<br />
|26xxxx<br />
|Yes<br />
|Yes<br />
|731,995<br />
|{{TM|1RB1RZ_0LC1RB_0LE0LD_1LE1LD_0RF0LC_0RG1RF_1RD0RA}}<br />
|10 ↑↑ 36.26<br />
|-<br />
|27xxxx<br />
|Yes<br />
|Yes<br />
|811,486<br />
|{{TM|1RB0RG_1LC1LB_0RE0LD_0LC1RF_0RA1RE_0LF0LB_1RF1RZ}}<br />
|10 ↑↑ 63.56<br />
|-<br />
|28xxxx<br />
|Yes<br />
|Yes<br />
|956,935<br />
|{{TM|1RB1RZ_0LC1RC_0RE1RD_0RB1RG_1RF0RA_1LG0LC_1LB0LF}}<br />
|10 ↑↑ 114.57<br />
|-<br />
|29xxxx<br />
|Yes<br />
|Yes<br />
|1,052,415<br />
|{{TM|1RB1LA_1RC1RD_0LA1LG_1RZ0LE_1RB1RF_1RE0LC_0RE1LF}}<br />
|10 ↑↑ 31.67<br />
|-<br />
|30xxxx<br />
|Yes<br />
|Yes<br />
|1,032,095<br />
|{{TM|1RB0LC_1RC0RG_1RD0LF_1RE0RF_1LA1RG_1LE1LF_1RZ1RD}}<br />
|10 ↑↑ 126.20<br />
|-<br />
|31xxxx<br />
|Yes<br />
|Yes<br />
|1,436,970<br />
|{{TM|1RB1LD_1LC0RF_0RA0LB_0LE1RZ_1LA0LE_1RG1LA_0RC0RF}}<br />
|10 ↑↑ 50.27<br />
|-<br />
|32xxxx<br />
|Yes<br />
|Yes<br />
|1,036,950<br />
|{{TM|1RB1RD_1LC0RF_0LE0LD_1LE1LE_1RF0LB_1RB0RG_1RA1RZ}}<br />
|10 ↑↑ 50.28<br />
|-<br />
|33xxxx<br />
|Yes<br />
|Yes<br />
|1,432,081<br />
|{{TM|1RB0LC_1LC0LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LC}}<br />
|10 ↑↑ 140.28<br />
|-<br />
|34xxxx<br />
|Yes<br />
|Yes<br />
|1,032,970<br />
|{{TM|1RB0RA_1LC0LE_0LD0LB_1RE0RD_0RA0LF_1RD1RG_0RF1RZ}}<br />
|10 ↑↑ 72.69<br />
|-<br />
|<br />
35xxxx -<br /><br />
39xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|4,894,047<br />
|{{TM|1RB1RZ_1LC0RF_0LD1LB_1RD0LE_1RB1LE_1RG0RE_0RA0LE}}<br />
|10 ↑↑ 192.67<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|40xxxx<br />
| rowspan="8" |Andrew Ducharme<br />
|Yes<br />
|Yes<br />
|730,310<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
| rowspan="8" |[https://drive.google.com/drive/folders/16uDjgOahkhAMWv3v-YWmxJG7xxsBvj4h?usp=sharing Google Drive folder]<br />
|-<br />
|41xxxx<br />
|Yes<br />
|Yes<br />
|814,075<br />
|{{TM|1RB0LD_0LC1RZ_1RA0RD_1RE1LD_1LF0RC_0LG1LE_1RC0LD}}<br />
|10 ↑↑ 192.67<br />
|-<br />
|42xxxx<br />
|Yes<br />
|Yes<br />
|739,729<br />
|{{TM|1RB1LD_0RC1RF_1LD0LE_0LE0LA_1LA1LE_1RG0LA_1RZ1RA}}<br />
|10 ↑↑ 46.26<br />
|-<br />
|43xxxx<br />
|Yes<br />
|Yes<br />
|817,332<br />
|{{TM|1RB0LE_1RC1RA_1RD0RG_1LA1RZ_1RA1LF_1LA0LE_0RF1RG}}<br />
|10 ↑↑ 93.81<br />
|-<br />
|44xxxx<br />
|Yes<br />
|Yes<br />
|729,686<br />
|{{TM|1RB1LC_1RC0RC_1RD1LA_0RE1RF_1LC0LG_1LA1LE_1RZ1LF}}<br />
|10 ↑↑ 76.36<br />
|-<br />
|45xxxx<br />
|Yes<br />
|Yes<br />
|812,973<br />
|{{TM|1RB0RE_0RC1LC_0LD1LF_1LE0LG_1RA0RC_0LB1LA_1LB1RZ}}<br />
|10 ↑↑ 114.57<br />
|-<br />
|46xxxx<br />
|Yes<br />
|Yes<br />
|725,102<br />
|{{TM|1RB1RA_0LC0RE_0LD1LC_1LA0LF_0RB0RA_1LG1RZ_0RE1LG}}<br />
|10 ↑↑ 36.26<br />
|-<br />
|47xxxx<br />
|Yes<br />
|Yes<br />
|812120<br />
|{{TM|1RB1LA_1LC0RE_0LD1LB_1RE1LG_1RF0LG_0RA0LA_0RF1RZ}}<br />
|10 ↑↑ 192.67<br />
|-<br />
|48xxxx<br />
| rowspan="2" |Tobiáš Brichta<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
| rowspan="2" |[https://drive.google.com/drive/folders/1-csgJ5uSIX3SKlqTkSnhkUuEYLKgCw81 Google Drive folder]<br />
|-<br />
|49xxxx<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|50xxxx<br />
|@prurq<br />
|No<br />
|No<br />
|~1.08M<br />
|{{TM|1RB0RD_1RC0RA_0RD1LD_0LE1LF_1LA0LG_0LC1LB_1LC1RZ}}<br />
|10 ↑↑ 115.52<br />
|[https://drive.google.com/drive/folders/145H4sT4F9KJYGSrlIETZdBOIMR7krLQm Google Drive folder]<br />
|-<br />
|51xxxx<br />
| rowspan="3" |@gerbil5709<br />
|Yes<br />
|'''No'''<br />
|1,436,814<br />
|TBD<br />
|TBD<br />
| rowspan="3" |[https://drive.google.com/drive/folders/1kAvBebeF09CEVocCk5bGKlDJfRN8co_i?usp=sharing Google Drive folder]<br />
|-<br />
|52xxxx<br />
|Yes<br />
|'''No'''<br />
|1,039,795<br />
|TBD<br />
|TBD<br />
|-<br />
|53xxxx<br />
|Yes<br />
|'''No'''<br />
|1,441,903<br />
|TBD<br />
|TBD<br />
|-<br />
|<br />
54xxxx -<br/><br />
59xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|5,689,850<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_0RF0RF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|60xxxx<br />
| rowspan="5" |<br />
@gerbil5709<br/><br />
Terry Ligocki<br />
|Yes<br />
|No<br />
|957,769<br />
|TBD<br />
|TBD<br />
| rowspan="5" |<br />
@gerbil5709<br/><br />
[https://drive.google.com/drive/folders/1kAvBebeF09CEVocCk5bGKlDJfRN8co_i?usp=sharing Google Drive folder]<br/><br />
Terry Ligocki<br/><br />
[https://drive.google.com/drive/folders/1uaSs-CfT6yX2UIboCaNi2U651bEYa_y0?usp=drive_link Google Drive folder]<br />
|-<br />
|61xxxx<br />
|Yes<br />
|No<br />
|1,052,047<br />
|TBD<br />
|TBD<br />
|-<br />
|62xxxx<br />
|Yes<br />
|No<br />
|959,753 <br />
|TBD<br />
|TBD<br />
|-<br />
|63xxxx<br />
|Yes<br />
|No<br />
|1,051,882<br />
|TBD<br />
|TBD<br />
|-<br />
|64xxxx<br />
|Yes<br />
|No<br />
|957,669<br />
|TBD<br />
|TBD<br />
|-<br />
|<br />
65xxxx -<br /><br />
68xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|3,076,778<br />
|{{TM|1RB0LD_0LC1RZ_1RA0RD_1RE1LD_1LF0RC_0LG1LE_1RG0LD}}<br />
|10 ↑↑ 192.67<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|69xxxx<br />
|@poppuncher<br />
|Yes<br />
|Yes<br />
|1,053,119<br />
|{{TM|1RB0LG_0RC1RZ_1LD0LA_1RE1LE_1LC1RF_0RE0RA_0RF1LG}}<br />
|10 ↑↑ 133.85<br />
|[https://drive.google.com/drive/folders/1KlCZqXxqVPuBPkDcCBocuMPA8paq9b8P?usp=drive_link Google Drive folder]<br />
|-<br />
|70xxxx<br />
| rowspan="2" |@hipparcos<br />
|Yes<br />
|Yes<br />
|798,304<br />
|{{TM|1RB0LF_1RC1LE_0RD1RA_1RE1RG_0LA1LB_1LE1RG_0RC1RZ}}<br />
|10 ↑↑ 33.81<br />
|[https://github.com/jhuang97/bb7x2/releases/tag/70xxxx Github release]<br />
|-<br />
|71xxxx<br />
|Yes<br />
|Yes<br />
|1,100,790<br />
|{{TM|1RB1RZ_1LC1RD_0LD0LC_1LE1RA_1LF0LE_1RF0RG_1RG0RD}}<br />
|10 ↑↑ 77.50<br />
|[https://github.com/jhuang97/bb7x2/releases/tag/71xxxx Github release]<br />
|-<br />
|<br />
72xxxx -<br /><br />
79xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|7,627,514<br />
|{{TM|1RB0RB_1LC1RG_1RD1RC_1RE0RA_1LF0LB_1RF0LE_0RD1RZ}}<br />
|10 ↑↑ 228.78<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|80xxxx<br />
| rowspan="2" |@xnoobspeakable<br />
|Yes<br />
|No<br />
|964,396<br />
|TBD<br />
|TBD<br />
| rowspan="2" |[https://drive.google.com/drive/folders/1TpuEC7KottEmvsFnCREugnlVMPaY5ZHi?usp=sharing Google Drive folder]<br />
|-<br />
|81xxxx<br />
|Yes<br />
|No<br />
|1,046,139<br />
|TBD<br />
|TBD<br />
|-<br />
|<br />
82xxxx -<br /><br />
99xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|15,673,786<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|}<br />
<nowiki>*</nowiki>The current BB(7) champion TM {{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}* was discovered by Pavel Kropitz in the enumeration of subtask 243308. The remaining subtasks in the 24xxxx range were enumerated and filtered by Andrew Ducharme.<br />
[[Category:BB Domain]]</div>
Gerbil
https://wiki.bbchallenge.org/w/index.php?title=BB(7)&diff=2347
BB(7)
2025-07-04T12:27:15Z
<p>Gerbil: /* Current Progress */</p>
<hr />
<div>The 7-state, 2-symbol Busy Beaver problem, '''BB(7)''', refers to the unsolved 7<sup>th</sup> value of the [[Busy Beaver function]]. With the compilation of the [[Cryptid]] machine [[Bigfoot]] into a 7-state, 2-symbol machine in May 2024, we now know that we must solve a [[Collatz-like]] problem in order to solve BB(7).<br />
<br />
The current BB(7) champion {{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}} was discovered by Pavel Kropitz in May 2025, proving the lower bound: <math display="block">S(7) > \Sigma(7) > 2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
<br />
== History ==<br />
Before 2025, the only known BB(7) champions were produced by hand, not by search. For example, Milton Green designed a machine in 1964 that had [[sigma score]] 22,961 and Wythagoras modified a BB(6) champion in 2014 to produce a machine that had sigma score <math>> 10 \uparrow\uparrow 5</math>.<br />
<br />
In May 2025, mxdys shared [https://github.com/ccz181078/TM C++ code] that breaks up the BB(7) enumeration into 1 million subtasks which each run for about 2 minutes and leave ~100 holdouts each. Various folks on Discord have been investigating different sections of this domain to search for champions.<br />
<br />
Within three days of the code's release, the Ligockis found three champions after applying their deciders to enumerator output. Shawn Ligocki found the first two, {{TM|1RB0RF_1LC0RE_1RD1LB_1LA1LD_0RA0LE_1RG0LB_1RZ1RB}} and {{TM|1RB1RA_1RC0LC_0LD1LG_1LF0LE_1RZ1LF_0LA1LD_1RA1LC}}, with sigma scores of approximately 10 ↑↑ 22 and 10 ↑↑ 35. That evening, Terry Ligocki found {{TM|1RB0LG_1RC0RF_1LD1RZ_1LF0LE_1RA1LD_1LG1RE_0LB0LB}}, with sigma score ~10 ↑↑ 46. These were all outpaced by Pavel's champion.<br />
<br />
Pavel's champion is enumerated in subtask 243308.<br />
<br />
== Top Halters ==<br />
Based on limited search through a subset of the 1 million subtasks from mxdys's code, the top 20 scoring known machines are:<br />
{| class="wikitable"<br />
!TM<br />
!Approximate sigma score<br />
!Discoverer<br />
|-<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
|Pavel Kropitz<br />
|-<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LE_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|@Iijil<br />
|-<br />
|{{TM|1RB0RB_1LC1RG_1RD1RC_1RE0RA_1LF0LB_1RF0LE_0RD1RZ}}<br />
|10 ↑↑ 228.78<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LD_0LC1RZ_1RA0RD_1RE1LD_1LF0RC_0LG1LE_1RG0LD}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1LA_1LC0RE_0LD1LB_1RD0LA_1RF0RA_0RG0LA_1RB1RZ}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1LA_1LC0RE_0LD1LB_1RD0LA_1RF0RA_1RG0LA_0LE1RZ}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RG0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LG_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RF_0LD1LB_1RD0LE_1RB1LE_1RG0RE_0RA0LE}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LD_0LC1RZ_1RA0RD_1RE1LD_1LF0RC_0LG1LE_1RC0LD}}<br />
|10 ↑↑ 192.67<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1LA_1LC0RE_0LD1LB_1RE1LG_1RF0LG_0RA0LA_0RF1RZ}}<br />
|10 ↑↑ 192.67<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1LA_1LC0RF_0LD0RD_1RF1LE_1LB1RZ_1RG0RA_0RA0LA}}<br />
|10 ↑↑ 192.67<br />
|@C7X<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_1LG1RE_1LD0RF_0RA1RE_1RZ0RA}}<br />
|10 ↑↑ 188.28<br />
|@XnoobSpeakable, @Peacemaker II<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_0RF0LF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LF0RF_0RA1RE_1RZ0RE}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|}<br />
<br />
The top 20 known halters with unique scores are:<br />
<br />
{| class="wikitable"<br />
!TM<br />
!Approximate sigma score<br />
!Discoverer<br />
|-<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
|Pavel Kropitz<br />
|-<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|@Iijil<br />
|-<br />
|{{TM|1RB0RB_1LC1RG_1RD1RC_1RE0RA_1LF0LB_1RF0LE_0RD1RZ}}<br />
|10 ↑↑ 228.78<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC0LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LC}}<br />
|10 ↑↑ 140.28<br />
|@stokastic<br />
|-<br />
|{{TM|1RB0LG_0RC1RZ_1LD0LA_1RE1LE_1LC1RF_0RE0RA_0RF1LG}}<br />
|10 ↑↑ 133.85<br />
|@poppuncher<br />
|-<br />
|{{TM|1RB1RZ_1RC0RF_1LD1RB_1RG0LE_1LD0RA_1RE0LD_0RC1LF}}<br />
|10 ↑↑ 129.24<br />
|@Iijil<br />
|-<br />
|{{TM|1RB0LC_1RC0RG_1RD0LF_1RE0RF_1LA1RG_1LE1LF_1RZ1RD}}<br />
|10 ↑↑ 126.20<br />
|@stokastic<br />
|-<br />
|{{TM|1RB0LD_1RC1RA_0RD1RG_1LE1LF_0LF1LE_0RA0LD_0RA1RZ}}<br />
|10 ↑↑ 124.86<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1LF_1RC1RA_1LD0LD_1LA1LE_0LA0LD_1LG0RF_0LE1RZ}}<br />
|10 ↑↑ 116.98<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0RD_1RC0LA_0LA0LE_1RE1RZ_1RF0RA_1LG0LE_1LC0LG}}<br />
|10 ↑↑ 116.05<br />
|<br />
|-<br />
|{{TM|1RB0RD_1RC0RA_0RD1LD_0LE1LF_1LA0LG_0LC1LB_1LC1RZ}}<br />
|10 ↑↑ 115.52<br />
|@prurq<br />
|-<br />
|{{TM|1RB0RG_1LC0LE_1LD0LB_0LE1RE_0RA1RF_0RD1RC_1RD1RZ}}<br />
|10 ↑↑ 114.83<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RE_1LC0LA_1LD0LC_0LE0LA_1RF0RG_1RD0LE_1RA1RZ}}<br />
|10 ↑↑ 114.60<br />
|Shawn Ligocki<br />
|-<br />
|{{TM|1RB0RE_0RC1LC_0LD1LF_1LE0LG_1RA0RC_0LB1LA_1LB1RZ}}<br />
|10 ↑↑ 114.57<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RC_1LC1LD_1RA0RD_0LF1LE_0LB1LA_0RE0LG_1LB1RZ}}<br />
|10 ↑↑ 114.37<br />
|@C7X<br />
|-<br />
|<code>1RB0RG_1LC0LE_1LD0LB_1RB1RE_0RA1RF_0RD1RC_1RD1RZ</code> (bbch)<br />
|10 ↑↑ 113.38<br />
|Terry Ligocki<br />
|}<br />
<br />
== Current Progress ==<br />
This is a summary of the 1 million subtasks from mxdys's code that have been processed, including further processing by Shawn Ligocki's linear rule code ("TBD" = "To Be Determined"). A cell in '''bold font''' means no one has signed up to do either the enumeration or apply the Ligocki code for that row's subtasks. You can help, especially with applying the Ligocki filters! Download the enumerated TMs from the linked source in the far right column of the table below, put your name alongside the enumerator's in the "Done by" column, turn off the bold font on your chosen task range, and return with the number of holdouts, the maximum score TM, and its approximate sigma value when you're done.<br />
<br />
After downloading the Ligocki codebase `busy-beaver-main` [https://github.com/sligocki/busy-beaver here], you can install the dependencies by running `python3 -m pip install -r requirements.txt`, then perform the filtering on holdouts from subtasks between start_number and end_number by running the bash command:<syntaxhighlight lang="bash"><br />
for x in {start_number..end_number}; do busy-beaver-main/Code/Enumerate.py --infile your-path-to-holdouts/holdouts_${x}.txt --outfile your-save-path/bb7_${x}.out.pb -r --no-steps --exp-linear-rules --max-loops=100_000 --block-mult=2 --force --save-freq=100; done<br />
</syntaxhighlight><br />
{| class="wikitable defaultleft"<br />
! rowspan="2" |Task range<br />
! rowspan="2" |Done by<br />
! colspan="2" |Completed<br />
! rowspan="2" |# holdouts<br />
! rowspan="2" |Maximum Score TM<br />
! rowspan="2" |~Sigma<br />
! rowspan="2" |Source<br />
|-<br />
!enumeration<br />
!linear rule<br />
|-<br />
|00xxxx<br />
| rowspan="6" |@Iijil<br />
|Yes<br />
|Yes<br />
|728,495<br />
|{{TM|1RB0RF_1RC1LF_0RD0RD_1LE0LB_1RA1RZ_1LG1RA_1LD0RC}}<br />
|10 ↑↑ 45.64<br />
| rowspan="10" |[https://drive.google.com/drive/folders/1wniwrAuvsHfkvro8Tg65WAMNZEuIekzD Google Drive folder]<br />
|-<br />
|01xxxx<br />
|Yes<br />
|Yes<br />
|817,178<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|-<br />
|02xxxx<br />
|Yes<br />
|'''No'''<br />
|963,486<br />
|TBD<br />
|TBD<br />
|-<br />
|03xxxx<br />
|Yes<br />
|'''No'''<br />
|1,052,504<br />
|TBD<br />
|TBD<br />
|-<br />
|04xxxx<br />
|Yes<br />
|'''No'''<br />
|955,711<br />
|TBD<br />
|TBD<br />
|-<br />
|05xxxx<br />
|Yes<br />
|'''No'''<br />
|1,056,745<br />
|TBD<br />
|TBD<br />
|-<br />
|06xxxx<br />
| rowspan="4" |<br />
@Iijil<br/><br />
Andrew Ducharme<br />
|Yes<br />
|No<br />
|950,271<br />
|TBD<br />
|TBD<br />
|-<br />
|07xxxx<br />
|Yes<br />
|No<br />
|1,053,750<br />
|TBD<br />
|TBD<br />
|-<br />
|08xxxx<br />
|Yes<br />
|No<br />
|951,114<br />
|TBD<br />
|TBD<br />
|-<br />
|09xxxx<br />
|Yes<br />
|Yes<br />
|810,098<br />
|{{TM|1RB1RC_1LC0RA_1RA1RD_0RG1LE_1RD0LF_0LB1LE_1RZ1RB}}<br />
|10 ↑↑ 36.38<br />
|-<br />
|10xxxx<br />
| rowspan="3" |Andrew Ducharme<br />
|Yes<br />
|Yes<br />
|802,059<br />
|{{TM|1RB0LG_1RC0RA_1LD0LE_1LG1LC_1LF0RB_0LC0RC_1LA1RZ}}<br />
|10 ↑↑ 40.79<br />
| rowspan="3" |[https://drive.google.com/drive/folders/16uDjgOahkhAMWv3v-YWmxJG7xxsBvj4h?usp=sharing Google Drive folder]<br />
|-<br />
|11xxxx<br />
|Yes<br />
|Yes<br />
|1,105,947<br />
|{{TM|1RB0RG_1LC0LE_1LD0LB_0LE1RE_0RA1RF_0RD1RC_1RD1RZ}}<br />
|10 ↑↑ 114.83<br />
|-<br />
|12xxxx<br />
|Yes<br />
|Yes<br />
|800,882<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LE_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|-<br />
|13xxxx<br />
|Shawn Ligocki<br />
|Yes<br />
|Yes<br />
|1,192,442<br />
|{{TM|1RB0RE_1LC0LA_1LD0LC_0LE0LA_1RF0RG_1RD0LE_1RA1RZ}}<br />
|10 ↑↑ 114.60<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|14xxxx<br />
| rowspan="3" |Andrew Ducharme<br />
|Yes<br />
|Yes<br />
|797,532<br />
|{{TM|1RB0LC_1LC0LD_1LA1LB_0LG1RE_0RF0LD_0RA1RE_1RZ1LC}}<br />
|10 ↑↑ 140.28<br />
| rowspan="3" |[https://drive.google.com/drive/folders/16uDjgOahkhAMWv3v-YWmxJG7xxsBvj4h?usp=sharing Google Drive folder]<br />
|-<br />
|15xxxx<br />
|Yes<br />
|Yes<br />
|1,106,978<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_0RF0LD_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|-<br />
|16xxxx<br />
|Yes<br />
|Yes<br />
|797,127<br />
|{{TM|1RB0LC_1LC0LD_1LA1LB_1LG1RE_0RF0LG_0RA1RE_1RZ0RC}}<br />
|10 ↑↑ 140.28<br />
|-<br />
|17xxxx<br />
|@gerbil5709<br />
|No<br />
|'''No'''<br />
|TBD<br />
|TBD<br />
|TBD<br />
|[https://drive.google.com/drive/folders/1kAvBebeF09CEVocCk5bGKlDJfRN8co_i?usp=sharing Google Drive folder]<br />
|-<br />
|'''18xxxx'''<br />
|<br />
|'''No'''<br />
|'''No'''<br />
|<br />
|<br />
|<br />
|<br />
|-<br />
|19xxxx<br />
|@isokate<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|<br />
|-<br />
|<br />
20xxxx -<br /><br />
21xxxx<br />
| rowspan="2" | @C7X<br />
|Yes<br />
|Yes<br />
|1,543,948<br />
|{{TM|1RB1LA_1LC0RF_0LD0RD_1RF1LE_1LB1RZ_1RG0RA_0RA0LA}}<br />
|10↑↑192.67<br />
| rowspan="2" | [https://drive.google.com/drive/folders/11iGTKsvu2Y7aFrwOcWS1LYvcN6i_7-JM?usp=sharing Google Drive folder]<br />
|-<br />
|<br />
22xxxx -<br /><br />
23xxxx<br />
|Yes<br />
|No<br />
|2,008,495<br />
|TBD<br />
|TBD<br />
|-<br />
|24xxxx<br />
|Andrew Ducharme<br />
|Yes<br />
|Yes<br />
|712,356<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}*<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3^*</math><br />
|[https://drive.google.com/drive/folders/16uDjgOahkhAMWv3v-YWmxJG7xxsBvj4h?usp=sharing Google Drive folder]<br />
|-<br />
|25xxxx<br />
| rowspan="10" |@stokastic<br />
|Yes<br />
|Yes<br />
|815,919<br />
|{{TM|1RB1RZ_1LC0LE_0LD0LC_0RE1LB_1RF0RG_0LD1RB_1RD1RA}}<br />
|10 ↑↑ 31.33<br />
| rowspan="10" |[https://drive.google.com/drive/folders/16_qIdWWD-wolj6zURB5ZSbY-otI4zoUF?usp=sharing Google Drive folder] <br />
|-<br />
|26xxxx<br />
|Yes<br />
|Yes<br />
|731,995<br />
|{{TM|1RB1RZ_0LC1RB_0LE0LD_1LE1LD_0RF0LC_0RG1RF_1RD0RA}}<br />
|10 ↑↑ 36.26<br />
|-<br />
|27xxxx<br />
|Yes<br />
|Yes<br />
|811,486<br />
|{{TM|1RB0RG_1LC1LB_0RE0LD_0LC1RF_0RA1RE_0LF0LB_1RF1RZ}}<br />
|10 ↑↑ 63.56<br />
|-<br />
|28xxxx<br />
|Yes<br />
|Yes<br />
|956,935<br />
|{{TM|1RB1RZ_0LC1RC_0RE1RD_0RB1RG_1RF0RA_1LG0LC_1LB0LF}}<br />
|10 ↑↑ 114.57<br />
|-<br />
|29xxxx<br />
|Yes<br />
|Yes<br />
|1,052,415<br />
|{{TM|1RB1LA_1RC1RD_0LA1LG_1RZ0LE_1RB1RF_1RE0LC_0RE1LF}}<br />
|10 ↑↑ 31.67<br />
|-<br />
|30xxxx<br />
|Yes<br />
|Yes<br />
|1,032,095<br />
|{{TM|1RB0LC_1RC0RG_1RD0LF_1RE0RF_1LA1RG_1LE1LF_1RZ1RD}}<br />
|10 ↑↑ 126.20<br />
|-<br />
|31xxxx<br />
|Yes<br />
|Yes<br />
|1,436,970<br />
|{{TM|1RB1LD_1LC0RF_0RA0LB_0LE1RZ_1LA0LE_1RG1LA_0RC0RF}}<br />
|10 ↑↑ 50.27<br />
|-<br />
|32xxxx<br />
|Yes<br />
|Yes<br />
|1,036,950<br />
|{{TM|1RB1RD_1LC0RF_0LE0LD_1LE1LE_1RF0LB_1RB0RG_1RA1RZ}}<br />
|10 ↑↑ 50.28<br />
|-<br />
|33xxxx<br />
|Yes<br />
|Yes<br />
|1,432,081<br />
|{{TM|1RB0LC_1LC0LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LC}}<br />
|10 ↑↑ 140.28<br />
|-<br />
|34xxxx<br />
|Yes<br />
|Yes<br />
|1,032,970<br />
|{{TM|1RB0RA_1LC0LE_0LD0LB_1RE0RD_0RA0LF_1RD1RG_0RF1RZ}}<br />
|10 ↑↑ 72.69<br />
|-<br />
|<br />
35xxxx -<br /><br />
39xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|4,894,047<br />
|{{TM|1RB1RZ_1LC0RF_0LD1LB_1RD0LE_1RB1LE_1RG0RE_0RA0LE}}<br />
|10 ↑↑ 192.67<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|40xxxx<br />
| rowspan="8" |Andrew Ducharme<br />
|Yes<br />
|Yes<br />
|730,310<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
| rowspan="8" |[https://drive.google.com/drive/folders/16uDjgOahkhAMWv3v-YWmxJG7xxsBvj4h?usp=sharing Google Drive folder]<br />
|-<br />
|41xxxx<br />
|Yes<br />
|Yes<br />
|814,075<br />
|{{TM|1RB0LD_0LC1RZ_1RA0RD_1RE1LD_1LF0RC_0LG1LE_1RC0LD}}<br />
|10 ↑↑ 192.67<br />
|-<br />
|42xxxx<br />
|Yes<br />
|Yes<br />
|739,729<br />
|{{TM|1RB1LD_0RC1RF_1LD0LE_0LE0LA_1LA1LE_1RG0LA_1RZ1RA}}<br />
|10 ↑↑ 46.26<br />
|-<br />
|43xxxx<br />
|Yes<br />
|Yes<br />
|817,332<br />
|{{TM|1RB0LE_1RC1RA_1RD0RG_1LA1RZ_1RA1LF_1LA0LE_0RF1RG}}<br />
|10 ↑↑ 93.81<br />
|-<br />
|44xxxx<br />
|Yes<br />
|Yes<br />
|729,686<br />
|{{TM|1RB1LC_1RC0RC_1RD1LA_0RE1RF_1LC0LG_1LA1LE_1RZ1LF}}<br />
|10 ↑↑ 76.36<br />
|-<br />
|45xxxx<br />
|Yes<br />
|Yes<br />
|812,973<br />
|{{TM|1RB0RE_0RC1LC_0LD1LF_1LE0LG_1RA0RC_0LB1LA_1LB1RZ}}<br />
|10 ↑↑ 114.57<br />
|-<br />
|46xxxx<br />
|Yes<br />
|Yes<br />
|725,102<br />
|{{TM|1RB1RA_0LC0RE_0LD1LC_1LA0LF_0RB0RA_1LG1RZ_0RE1LG}}<br />
|10 ↑↑ 36.26<br />
|-<br />
|47xxxx<br />
|Yes<br />
|Yes<br />
|812120<br />
|{{TM|1RB1LA_1LC0RE_0LD1LB_1RE1LG_1RF0LG_0RA0LA_0RF1RZ}}<br />
|10 ↑↑ 192.67<br />
|-<br />
|48xxxx<br />
| rowspan="2" |Tobiáš Brichta<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
| rowspan="2" |[https://drive.google.com/drive/folders/1-csgJ5uSIX3SKlqTkSnhkUuEYLKgCw81 Google Drive folder]<br />
|-<br />
|49xxxx<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|50xxxx<br />
|@prurq<br />
|No<br />
|No<br />
|~1.08M<br />
|{{TM|1RB0RD_1RC0RA_0RD1LD_0LE1LF_1LA0LG_0LC1LB_1LC1RZ}}<br />
|10 ↑↑ 115.52<br />
|[https://drive.google.com/drive/folders/145H4sT4F9KJYGSrlIETZdBOIMR7krLQm Google Drive folder]<br />
|-<br />
|51xxxx<br />
| rowspan="3" |@gerbil5709<br />
|Yes<br />
|'''No'''<br />
|1,436,814<br />
|TBD<br />
|TBD<br />
| rowspan="3" |[https://drive.google.com/drive/folders/1kAvBebeF09CEVocCk5bGKlDJfRN8co_i?usp=sharing Google Drive folder]<br />
|-<br />
|52xxxx<br />
|Yes<br />
|'''No'''<br />
|1,039,795<br />
|TBD<br />
|TBD<br />
|-<br />
|53xxxx<br />
|No<br />
|'''No'''<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|<br />
54xxxx -<br/><br />
59xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|5,689,850<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_0RF0RF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|60xxxx<br />
| rowspan="5" |<br />
@gerbil5709<br/><br />
Terry Ligocki<br />
|Yes<br />
|No<br />
|957,769<br />
|TBD<br />
|TBD<br />
| rowspan="5" |<br />
@gerbil5709<br/><br />
[https://drive.google.com/drive/folders/1kAvBebeF09CEVocCk5bGKlDJfRN8co_i?usp=sharing Google Drive folder]<br/><br />
Terry Ligocki<br/><br />
[https://drive.google.com/drive/folders/1uaSs-CfT6yX2UIboCaNi2U651bEYa_y0?usp=drive_link Google Drive folder]<br />
|-<br />
|61xxxx<br />
|Yes<br />
|No<br />
|1,052,047<br />
|TBD<br />
|TBD<br />
|-<br />
|62xxxx<br />
|Yes<br />
|No<br />
|959,753 <br />
|TBD<br />
|TBD<br />
|-<br />
|63xxxx<br />
|Yes<br />
|No<br />
|1,051,882<br />
|TBD<br />
|TBD<br />
|-<br />
|64xxxx<br />
|Yes<br />
|No<br />
|957,669<br />
|TBD<br />
|TBD<br />
|-<br />
|<br />
65xxxx -<br /><br />
68xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|3,076,778<br />
|{{TM|1RB0LD_0LC1RZ_1RA0RD_1RE1LD_1LF0RC_0LG1LE_1RG0LD}}<br />
|10 ↑↑ 192.67<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|69xxxx<br />
|@poppuncher<br />
|Yes<br />
|Yes<br />
|1,053,119<br />
|{{TM|1RB0LG_0RC1RZ_1LD0LA_1RE1LE_1LC1RF_0RE0RA_0RF1LG}}<br />
|10 ↑↑ 133.85<br />
|[https://drive.google.com/drive/folders/1KlCZqXxqVPuBPkDcCBocuMPA8paq9b8P?usp=drive_link Google Drive folder]<br />
|-<br />
|70xxxx<br />
| rowspan="2" |@hipparcos<br />
|Yes<br />
|Yes<br />
|798,304<br />
|{{TM|1RB0LF_1RC1LE_0RD1RA_1RE1RG_0LA1LB_1LE1RG_0RC1RZ}}<br />
|10 ↑↑ 33.81<br />
|[https://github.com/jhuang97/bb7x2/releases/tag/70xxxx Github release]<br />
|-<br />
|71xxxx<br />
|Yes<br />
|Yes<br />
|1,100,790<br />
|{{TM|1RB1RZ_1LC1RD_0LD0LC_1LE1RA_1LF0LE_1RF0RG_1RG0RD}}<br />
|10 ↑↑ 77.50<br />
|[https://github.com/jhuang97/bb7x2/releases/tag/71xxxx Github release]<br />
|-<br />
|<br />
72xxxx -<br /><br />
79xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|7,627,514<br />
|{{TM|1RB0RB_1LC1RG_1RD1RC_1RE0RA_1LF0LB_1RF0LE_0RD1RZ}}<br />
|10 ↑↑ 228.78<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|80xxxx<br />
| rowspan="2" |@xnoobspeakable<br />
|Yes<br />
|No<br />
|964,396<br />
|TBD<br />
|TBD<br />
| rowspan="2" |[https://drive.google.com/drive/folders/1TpuEC7KottEmvsFnCREugnlVMPaY5ZHi?usp=sharing Google Drive folder]<br />
|-<br />
|81xxxx<br />
|Yes<br />
|No<br />
|1,046,139<br />
|TBD<br />
|TBD<br />
|-<br />
|<br />
82xxxx -<br /><br />
99xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|15,673,786<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|}<br />
<nowiki>*</nowiki>The current BB(7) champion TM {{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}* was discovered by Pavel Kropitz in the enumeration of subtask 243308. The remaining subtasks in the 24xxxx range were enumerated and filtered by Andrew Ducharme.<br />
[[Category:BB Domain]]</div>
Gerbil
https://wiki.bbchallenge.org/w/index.php?title=BB(7)&diff=2328
BB(7)
2025-07-02T13:54:40Z
<p>Gerbil: /* Current Progress */</p>
<hr />
<div>The 7-state, 2-symbol Busy Beaver problem, '''BB(7)''', refers to the unsolved 7<sup>th</sup> value of the [[Busy Beaver function]]. With the compilation of the [[Cryptid]] machine [[Bigfoot]] into a 7-state, 2-symbol machine in May 2024, we now know that we must solve a [[Collatz-like]] problem in order to solve BB(7).<br />
<br />
The current BB(7) champion {{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}} was discovered by Pavel Kropitz in May 2025, proving the lower bound: <math display="block">S(7) > \Sigma(7) > 2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
<br />
== History ==<br />
Before 2025, the only known BB(7) champions were produced by hand, not by search. For example, Milton Green designed a machine in 1964 that had [[sigma score]] 22,961 and Wythagoras modified a BB(6) champion in 2014 to produce a machine that had sigma score <math>> 10 \uparrow\uparrow 5</math>.<br />
<br />
In May 2025, mxdys shared [https://github.com/ccz181078/TM C++ code] that breaks up the BB(7) enumeration into 1 million subtasks which each run for about 2 minutes and leave ~100 holdouts each. Various folks on Discord have been investigating different sections of this domain to search for champions.<br />
<br />
Within three days of the code's release, the Ligockis found three champions after applying their deciders to enumerator output. Shawn Ligocki found the first two, {{TM|1RB0RF_1LC0RE_1RD1LB_1LA1LD_0RA0LE_1RG0LB_1RZ1RB}} and {{TM|1RB1RA_1RC0LC_0LD1LG_1LF0LE_1RZ1LF_0LA1LD_1RA1LC}}, with sigma scores of approximately 10 ↑↑ 22 and 10 ↑↑ 35. That evening, Terry Ligocki found {{TM|1RB0LG_1RC0RF_1LD1RZ_1LF0LE_1RA1LD_1LG1RE_0LB0LB}}, with sigma score ~10 ↑↑ 46. These were all outpaced by Pavel's champion.<br />
<br />
Pavel's champion is enumerated in subtask 243308.<br />
<br />
== Top Halters ==<br />
Based on limited search through a subset of the 1 million subtasks from mxdys's code, the top 20 scoring known machines are:<br />
{| class="wikitable"<br />
!TM<br />
!Approximate sigma score<br />
!Discoverer<br />
|-<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
|Pavel Kropitz<br />
|-<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LE_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|@Iijil<br />
|-<br />
|{{TM|1RB0RB_1LC1RG_1RD1RC_1RE0RA_1LF0LB_1RF0LE_0RD1RZ}}<br />
|10 ↑↑ 228.78<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LD_0LC1RZ_1RA0RD_1RE1LD_1LF0RC_0LG1LE_1RG0LD}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1LA_1LC0RE_0LD1LB_1RD0LA_1RF0RA_0RG0LA_1RB1RZ}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1LA_1LC0RE_0LD1LB_1RD0LA_1RF0RA_1RG0LA_0LE1RZ}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RG0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LG_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RF_0LD1LB_1RD0LE_1RB1LE_1RG0RE_0RA0LE}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LD_0LC1RZ_1RA0RD_1RE1LD_1LF0RC_0LG1LE_1RC0LD}}<br />
|10 ↑↑ 192.67<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1LA_1LC0RE_0LD1LB_1RE1LG_1RF0LG_0RA0LA_0RF1RZ}}<br />
|10 ↑↑ 192.67<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1LA_1LC0RF_0LD0RD_1RF1LE_1LB1RZ_1RG0RA_0RA0LA}}<br />
|10 ↑↑ 192.67<br />
|@C7X<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_1LG1RE_1LD0RF_0RA1RE_1RZ0RA}}<br />
|10 ↑↑ 188.28<br />
|@XnoobSpeakable, @Peacemaker II<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_0RF0LF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LF0RF_0RA1RE_1RZ0RE}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|}<br />
<br />
The top 20 known halters with unique scores are:<br />
<br />
{| class="wikitable"<br />
!TM<br />
!Approximate sigma score<br />
!Discoverer<br />
|-<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
|Pavel Kropitz<br />
|-<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|@Iijil<br />
|-<br />
|{{TM|1RB0RB_1LC1RG_1RD1RC_1RE0RA_1LF0LB_1RF0LE_0RD1RZ}}<br />
|10 ↑↑ 228.78<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC0LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LC}}<br />
|10 ↑↑ 140.28<br />
|@stokastic<br />
|-<br />
|{{TM|1RB0LG_0RC1RZ_1LD0LA_1RE1LE_1LC1RF_0RE0RA_0RF1LG}}<br />
|10 ↑↑ 133.85<br />
|@poppuncher<br />
|-<br />
|{{TM|1RB1RZ_1RC0RF_1LD1RB_1RG0LE_1LD0RA_1RE0LD_0RC1LF}}<br />
|10 ↑↑ 129.24<br />
|@Iijil<br />
|-<br />
|{{TM|1RB0LC_1RC0RG_1RD0LF_1RE0RF_1LA1RG_1LE1LF_1RZ1RD}}<br />
|10 ↑↑ 126.20<br />
|@stokastic<br />
|-<br />
|{{TM|1RB0LD_1RC1RA_0RD1RG_1LE1LF_0LF1LE_0RA0LD_0RA1RZ}}<br />
|10 ↑↑ 124.86<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1LF_1RC1RA_1LD0LD_1LA1LE_0LA0LD_1LG0RF_0LE1RZ}}<br />
|10 ↑↑ 116.98<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0RD_1RC0LA_0LA0LE_1RE1RZ_1RF0RA_1LG0LE_1LC0LG}}<br />
|10 ↑↑ 116.05<br />
|<br />
|-<br />
|{{TM|1RB0RD_1RC0RA_0RD1LD_0LE1LF_1LA0LG_0LC1LB_1LC1RZ}}<br />
|10 ↑↑ 115.52<br />
|@prurq<br />
|-<br />
|{{TM|1RB0RG_1LC0LE_1LD0LB_0LE1RE_0RA1RF_0RD1RC_1RD1RZ}}<br />
|10 ↑↑ 114.83<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RE_1LC0LA_1LD0LC_0LE0LA_1RF0RG_1RD0LE_1RA1RZ}}<br />
|10 ↑↑ 114.60<br />
|Shawn Ligocki<br />
|-<br />
|{{TM|1RB0RE_0RC1LC_0LD1LF_1LE0LG_1RA0RC_0LB1LA_1LB1RZ}}<br />
|10 ↑↑ 114.57<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RC_1LC1LD_1RA0RD_0LF1LE_0LB1LA_0RE0LG_1LB1RZ}}<br />
|10 ↑↑ 114.37<br />
|@C7X<br />
|-<br />
|<code>1RB0RG_1LC0LE_1LD0LB_1RB1RE_0RA1RF_0RD1RC_1RD1RZ</code> (bbch)<br />
|10 ↑↑ 113.38<br />
|Terry Ligocki<br />
|}<br />
<br />
== Current Progress ==<br />
This is a summary of the 1 million subtasks from mxdys's code that have been processed, including further processing by Shawn Ligocki's linear rule code ("TBD" = "To Be Determined"). Cells which are in '''bold font''' have already had the listed subtasks enumerated with mxdys's code, but have not been filtered by the Ligocki code. You can help! Download the enumerated TMs from the linked source in the far right column, put your name alongside the enumerator's in the "Done by" column, and return with the number of holdouts, the maximum score TM, and its approximate sigma value when you're done.<br />
<br />
After downloading the Ligocki codebase `busy-beaver-main` [https://github.com/sligocki/busy-beaver here], you can install the dependencies by running `python3 -m pip install -r requirements.txt`, then perform the filtering on holdouts from subtasks between start_number and end_number by running the bash command:<syntaxhighlight lang="bash"><br />
for x in {start_number..end_number}; do busy-beaver-main/Code/Enumerate.py --infile your-path-to-holdouts/holdouts_${x}.txt --outfile your-save-path/bb7_${x}.out.pb -r --no-steps --exp-linear-rules --max-loops=100_000 --block-mult=2 --force --save-freq=100; done<br />
</syntaxhighlight><br />
{| class="wikitable defaultleft"<br />
! rowspan="2" |Task range<br />
! rowspan="2" |Done by<br />
! colspan="2" |Completed<br />
! rowspan="2" |# holdouts<br />
! rowspan="2" |Maximum Score TM<br />
! rowspan="2" |~Sigma<br />
! rowspan="2" |Source<br />
|-<br />
!enumeration<br />
!linear rule<br />
|-<br />
|00xxxx<br />
| rowspan="2" |@Iijil<br />
|Yes<br />
|Yes<br />
|728,495<br />
|{{TM|1RB0RF_1RC1LF_0RD0RD_1LE0LB_1RA1RZ_1LG1RA_1LD0RC}}<br />
|10 ↑↑ 45.64<br />
| rowspan="10" |[https://drive.google.com/drive/folders/1wniwrAuvsHfkvro8Tg65WAMNZEuIekzD Google Drive folder]<br />
|-<br />
|01xxxx<br />
|Yes<br />
|Yes<br />
|817,178<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|-<br />
|02xxxx<br />
|@Iijil<br />
|Yes<br />
|'''No'''<br />
|963,486<br />
|TBD<br />
|TBD<br />
|-<br />
|03xxxx<br />
|@Iijil<br />
|Yes<br />
|'''No'''<br />
|1,052,504<br />
|TBD<br />
|TBD<br />
|-<br />
|04xxxx<br />
|@Iijil<br />
|Yes<br />
|'''No'''<br />
|955,711<br />
|TBD<br />
|TBD<br />
|-<br />
|05xxxx<br />
|@Iijil<br />
|Yes<br />
|'''No'''<br />
|1,056,745<br />
|TBD<br />
|TBD<br />
|-<br />
|06xxxx<br />
|@Iijil<br />
|Yes<br />
|'''No'''<br />
|950,271<br />
|TBD<br />
|TBD<br />
|-<br />
|07xxxx<br />
|@Iijil<br />
|Yes<br />
|'''No'''<br />
|1,053,750<br />
|TBD<br />
|TBD<br />
|-<br />
|08xxxx<br />
|@Iijil<br />
|Yes<br />
|'''No'''<br />
|951,114<br />
|TBD<br />
|TBD<br />
|-<br />
|09xxxx<br />
|@Iijil<br />
|Yes<br />
|'''No'''<br />
|1,052,362<br />
|TBD<br />
|TBD<br />
|-<br />
|10xxxx<br />
| rowspan="3" |Andrew Ducharme<br />
|Yes<br />
|Yes<br />
|802,059<br />
|{{TM|1RB0LG_1RC0RA_1LD0LE_1LG1LC_1LF0RB_0LC0RC_1LA1RZ}}<br />
|10 ↑↑ 40.79<br />
| rowspan="3" |[https://drive.google.com/drive/folders/16uDjgOahkhAMWv3v-YWmxJG7xxsBvj4h?usp=sharing Google Drive folder]<br />
|-<br />
|11xxxx<br />
|Yes<br />
|Yes<br />
|1,105,947<br />
|{{TM|1RB0RG_1LC0LE_1LD0LB_0LE1RE_0RA1RF_0RD1RC_1RD1RZ}}<br />
|10 ↑↑ 114.83<br />
|-<br />
|12xxxx<br />
|Yes<br />
|Yes<br />
|800,882<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LE_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|-<br />
|13xxxx<br />
|Shawn Ligocki<br />
|Yes<br />
|Yes<br />
|1,192,442<br />
|{{TM|1RB0RE_1LC0LA_1LD0LC_0LE0LA_1RF0RG_1RD0LE_1RA1RZ}}<br />
|10 ↑↑ 114.60<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|14xxxx<br />
| rowspan="3" |Andrew Ducharme<br />
|Yes<br />
|Yes<br />
|797,532<br />
|{{TM|1RB0LC_1LC0LD_1LA1LB_0LG1RE_0RF0LD_0RA1RE_1RZ1LC}}<br />
|10 ↑↑ 140.28<br />
| rowspan="3" |[https://drive.google.com/drive/folders/16uDjgOahkhAMWv3v-YWmxJG7xxsBvj4h?usp=sharing Google Drive folder]<br />
|-<br />
|15xxxx<br />
|Yes<br />
|Yes<br />
|1,106,978<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_0RF0LD_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|-<br />
|16xxxx<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|'''17xxxx'''<br />
|<br />
|'''No'''<br />
|'''No'''<br />
|<br />
|<br />
|<br />
|<br />
|-<br />
|'''18xxxx'''<br />
|<br />
|'''No'''<br />
|'''No'''<br />
|<br />
|<br />
|<br />
|<br />
|-<br />
|19xxxx<br />
|@isokate<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|<br />
|-<br />
|<br />
20xxxx -<br /><br />
21xxxx<br />
| rowspan="2" | @C7X<br />
|Yes<br />
|Yes<br />
|1,543,948<br />
|{{TM|1RB1LA_1LC0RF_0LD0RD_1RF1LE_1LB1RZ_1RG0RA_0RA0LA}}<br />
|10↑↑192.67<br />
| rowspan="2" | [https://drive.google.com/drive/folders/11iGTKsvu2Y7aFrwOcWS1LYvcN6i_7-JM?usp=sharing Google Drive folder]<br />
|-<br />
|<br />
22xxxx -<br /><br />
23xxxx<br />
|Yes<br />
|No<br />
|2,008,495<br />
|TBD<br />
|TBD<br />
|-<br />
|24xxxx<br />
|Andrew Ducharme<br />
|Yes<br />
|Yes<br />
|712,356<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}*<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3^*</math><br />
|[https://drive.google.com/drive/folders/16uDjgOahkhAMWv3v-YWmxJG7xxsBvj4h?usp=sharing Google Drive folder]<br />
|-<br />
|25xxxx<br />
| rowspan="10" |@stokastic<br />
|Yes<br />
|Yes<br />
|815,919<br />
|{{TM|1RB1RZ_1LC0LE_0LD0LC_0RE1LB_1RF0RG_0LD1RB_1RD1RA}}<br />
|10 ↑↑ 31.33<br />
| rowspan="10" |[https://drive.google.com/drive/folders/16_qIdWWD-wolj6zURB5ZSbY-otI4zoUF?usp=sharing Google Drive folder] <br />
|-<br />
|26xxxx<br />
|Yes<br />
|Yes<br />
|731,995<br />
|{{TM|1RB1RZ_0LC1RB_0LE0LD_1LE1LD_0RF0LC_0RG1RF_1RD0RA}}<br />
|10 ↑↑ 36.26<br />
|-<br />
|27xxxx<br />
|Yes<br />
|Yes<br />
|811,486<br />
|{{TM|1RB0RG_1LC1LB_0RE0LD_0LC1RF_0RA1RE_0LF0LB_1RF1RZ}}<br />
|10 ↑↑ 63.56<br />
|-<br />
|28xxxx<br />
|Yes<br />
|Yes<br />
|956,935<br />
|{{TM|1RB1RZ_0LC1RC_0RE1RD_0RB1RG_1RF0RA_1LG0LC_1LB0LF}}<br />
|10 ↑↑ 114.57<br />
|-<br />
|29xxxx<br />
|Yes<br />
|Yes<br />
|1,052,415<br />
|{{TM|1RB1LA_1RC1RD_0LA1LG_1RZ0LE_1RB1RF_1RE0LC_0RE1LF}}<br />
|10 ↑↑ 31.67<br />
|-<br />
|30xxxx<br />
|Yes<br />
|Yes<br />
|1,032,095<br />
|{{TM|1RB0LC_1RC0RG_1RD0LF_1RE0RF_1LA1RG_1LE1LF_1RZ1RD}}<br />
|10 ↑↑ 126.20<br />
|-<br />
|31xxxx<br />
|Yes<br />
|Yes<br />
|1,436,970<br />
|{{TM|1RB1LD_1LC0RF_0RA0LB_0LE1RZ_1LA0LE_1RG1LA_0RC0RF}}<br />
|10 ↑↑ 50.27<br />
|-<br />
|32xxxx<br />
|Yes<br />
|Yes<br />
|1,036,950<br />
|{{TM|1RB1RD_1LC0RF_0LE0LD_1LE1LE_1RF0LB_1RB0RG_1RA1RZ}}<br />
|10 ↑↑ 50.28<br />
|-<br />
|33xxxx<br />
|Yes<br />
|Yes<br />
|1,432,081<br />
|{{TM|1RB0LC_1LC0LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LC}}<br />
|10 ↑↑ 140.28<br />
|-<br />
|34xxxx<br />
|Yes<br />
|Yes<br />
|1,032,970<br />
|{{TM|1RB0RA_1LC0LE_0LD0LB_1RE0RD_0RA0LF_1RD1RG_0RF1RZ}}<br />
|10 ↑↑ 72.69<br />
|-<br />
|<br />
35xxxx -<br /><br />
39xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|4,894,047<br />
|{{TM|1RB1RZ_1LC0RF_0LD1LB_1RD0LE_1RB1LE_1RG0RE_0RA0LE}}<br />
|10 ↑↑ 192.67<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|40xxxx<br />
| rowspan="8" |Andrew Ducharme<br />
|Yes<br />
|Yes<br />
|730,310<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
| rowspan="8" |[https://drive.google.com/drive/folders/16uDjgOahkhAMWv3v-YWmxJG7xxsBvj4h?usp=sharing Google Drive folder]<br />
|-<br />
|41xxxx<br />
|Yes<br />
|Yes<br />
|814,075<br />
|{{TM|1RB0LD_0LC1RZ_1RA0RD_1RE1LD_1LF0RC_0LG1LE_1RC0LD}}<br />
|10 ↑↑ 192.67<br />
|-<br />
|42xxxx<br />
|Yes<br />
|Yes<br />
|739,729<br />
|{{TM|1RB1LD_0RC1RF_1LD0LE_0LE0LA_1LA1LE_1RG0LA_1RZ1RA}}<br />
|10 ↑↑ 46.26<br />
|-<br />
|43xxxx<br />
|Yes<br />
|Yes<br />
|817,332<br />
|{{TM|1RB0LE_1RC1RA_1RD0RG_1LA1RZ_1RA1LF_1LA0LE_0RF1RG}}<br />
|10 ↑↑ 93.81<br />
|-<br />
|44xxxx<br />
|Yes<br />
|Yes<br />
|729,686<br />
|{{TM|1RB1LC_1RC0RC_1RD1LA_0RE1RF_1LC0LG_1LA1LE_1RZ1LF}}<br />
|10 ↑↑ 76.36<br />
|-<br />
|45xxxx<br />
|Yes<br />
|Yes<br />
|812,973<br />
|{{TM|1RB0RE_0RC1LC_0LD1LF_1LE0LG_1RA0RC_0LB1LA_1LB1RZ}}<br />
|10 ↑↑ 114.57<br />
|-<br />
|46xxxx<br />
|Yes<br />
|Yes<br />
|725,102<br />
|{{TM|1RB1RA_0LC0RE_0LD1LC_1LA0LF_0RB0RA_1LG1RZ_0RE1LG}}<br />
|10 ↑↑ 36.26<br />
|-<br />
|47xxxx<br />
|Yes<br />
|Yes<br />
|812120<br />
|{{TM|1RB1LA_1LC0RE_0LD1LB_1RE1LG_1RF0LG_0RA0LA_0RF1RZ}}<br />
|10 ↑↑ 192.67<br />
|-<br />
|48xxxx<br />
| rowspan="2" |Tobiáš Brichta<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
| rowspan="2" |[https://drive.google.com/drive/folders/1-csgJ5uSIX3SKlqTkSnhkUuEYLKgCw81 Google Drive folder]<br />
|-<br />
|49xxxx<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|50xxxx<br />
|@prurq<br />
|No<br />
|No<br />
|~1.08M<br />
|{{TM|1RB0RD_1RC0RA_0RD1LD_0LE1LF_1LA0LG_0LC1LB_1LC1RZ}}<br />
|10 ↑↑ 115.52<br />
|[https://drive.google.com/drive/folders/145H4sT4F9KJYGSrlIETZdBOIMR7krLQm Google Drive folder]<br />
|-<br />
|51xxxx<br />
|@gerbil5709<br />
|Yes<br />
|'''No'''<br />
|1,436,814<br />
|TBD<br />
|TBD<br />
| rowspan="3" |[https://drive.google.com/drive/folders/1kAvBebeF09CEVocCk5bGKlDJfRN8co_i?usp=sharing Google Drive folder]<br />
|-<br />
|52xxxx<br />
|@gerbil5709<br />
|Yes<br />
|'''No'''<br />
|1,039,795<br />
|TBD<br />
|TBD<br />
|-<br />
|53xxxx<br />
|@gerbil5709<br />
|No<br />
|'''No'''<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|'''54xxxx'''<br />
|<br />
|'''No'''<br />
|'''No'''<br />
|<br />
|<br />
|<br />
|-<br />
|55xxxx<br />
|Terry Ligocki<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|56xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|796,391<br />
|{{TM|1RB1LB_1LC1RG_1RD1RC_0RE0RD_1LE1LF_0RG0LA_1RZ0RB}}<br />
|10 ↑↑ 86.40<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|57xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|1,100,748<br />
|{{TM|1RB1RC_0RC0RB_0RD0RE_1LD0LE_1LF0RG_1LG1RZ_1LA0LG}}<br />
|10 ↑↑ 69.85<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|58xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|795,772<br />
|{{TM|1RB0RD_1RC0RA_1LA1LD_0LF1LE_0LC1LB_1LA0LG_1LC1RZ}}<br />
|10 ↑↑ 115.32<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|59xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|1,094,678<br />
|{{TM|1RB0LF_0LC0RA_1LA1RD_0RE1RZ_1RC0RE_1LG1RC_0LB1RA}}<br />
|10 ↑↑ 124.12<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|60xxxx<br />
|@gerbil5709<br />
|Yes<br />
|'''No'''<br />
|957,769<br />
|TBD<br />
|TBD<br />
| rowspan="5" |[https://drive.google.com/drive/folders/1kAvBebeF09CEVocCk5bGKlDJfRN8co_i?usp=sharing Google Drive folder]<br />
|-<br />
|61xxxx<br />
|@gerbil5709<br />
|Yes<br />
|'''No'''<br />
|1,052,047<br />
|TBD<br />
|TBD<br />
|-<br />
|62xxxx<br />
|@gerbil5709<br />
|Yes<br />
|'''No'''<br />
|959,753 <br />
|TBD<br />
|TBD<br />
|-<br />
|63xxxx<br />
|@gerbil5709<br />
|Yes<br />
|'''No'''<br />
|1,051,882<br />
|TBD<br />
|TBD<br />
|-<br />
|64xxxx<br />
|@gerbil5709<br />
|Yes<br />
|'''No'''<br />
|957,669<br />
|TBD<br />
|TBD<br />
|-<br />
|<br />
65xxxx -<br /><br />
68xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|3,076,778<br />
|{{TM|1RB0LD_0LC1RZ_1RA0RD_1RE1LD_1LF0RC_0LG1LE_1RG0LD}}<br />
|10 ↑↑ 192.67<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|69xxxx<br />
|@poppuncher<br />
|Yes<br />
|Yes<br />
|1,053,119<br />
|{{TM|1RB0LG_0RC1RZ_1LD0LA_1RE1LE_1LC1RF_0RE0RA_0RF1LG}}<br />
|10 ↑↑ 133.85<br />
|[https://drive.google.com/drive/folders/1KlCZqXxqVPuBPkDcCBocuMPA8paq9b8P?usp=drive_link Google Drive folder]<br />
|-<br />
|70xxxx<br />
|@hipparcos<br />
|Yes<br />
|Yes<br />
|798,304<br />
|{{TM|1RB0LF_1RC1LE_0RD1RA_1RE1RG_0LA1LB_1LE1RG_0RC1RZ}}<br />
|10 ↑↑ 33.81<br />
|[https://github.com/jhuang97/bb7x2/releases/tag/70xxxx Github release]<br />
|-<br />
|71xxxx<br />
|@hipparcos<br />
|Yes<br />
|Yes<br />
|1,100,790<br />
|{{TM|1RB1RZ_1LC1RD_0LD0LC_1LE1RA_1LF0LE_1RF0RG_1RG0RD}}<br />
|10 ↑↑ 77.50<br />
|[https://github.com/jhuang97/bb7x2/releases/tag/71xxxx Github release]<br />
|-<br />
|<br />
72xxxx -<br /><br />
79xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|7,627,514<br />
|{{TM|1RB0RB_1LC1RG_1RD1RC_1RE0RA_1LF0LB_1RF0LE_0RD1RZ}}<br />
|10 ↑↑ 228.78<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|80xxxx<br />
|@xnoobspeakable<br />
|Yes<br />
|No<br />
|964,396<br />
|TBD<br />
|TBD<br />
| rowspan="2" |[https://drive.google.com/drive/folders/1TpuEC7KottEmvsFnCREugnlVMPaY5ZHi?usp=sharing Google Drive folder]<br />
|-<br />
|81xxxx<br />
|@xnoobspeakable<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|<br />
82xxxx -<br /><br />
99xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|15,673,786<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|}<br />
<nowiki>*</nowiki>The current BB(7) champion TM {{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}* was discovered by Pavel Kropitz in the enumeration of subtask 243308. The remaining subtasks in the 24xxxx range were enumerated and filtered by Andrew Ducharme.<br />
[[Category:BB Domain]]</div>
Gerbil
https://wiki.bbchallenge.org/w/index.php?title=BB(7)&diff=2309
BB(7)
2025-06-30T16:47:45Z
<p>Gerbil: /* Current Progress */</p>
<hr />
<div>The 7-state, 2-symbol Busy Beaver problem, '''BB(7)''', refers to the unsolved 7<sup>th</sup> value of the [[Busy Beaver function]]. With the compilation of the [[Cryptid]] machine [[Bigfoot]] into a 7-state, 2-symbol machine in May 2024, we now know that we must solve a [[Collatz-like]] problem in order to solve BB(7).<br />
<br />
The current BB(7) champion {{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}} was discovered by Pavel Kropitz in May 2025, proving the lower bound: <math display="block">S(7) > \Sigma(7) > 2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
<br />
== History ==<br />
Before 2025, the only known BB(7) champions were produced by hand, not by search. For example, Milton Green designed a machine in 1964 that had [[sigma score]] 22,961 and Wythagoras modified a BB(6) champion in 2014 to produce a machine that had sigma score <math>> 10 \uparrow\uparrow 5</math>.<br />
<br />
In May 2025, mxdys shared [https://github.com/ccz181078/TM C++ code] that breaks up the BB(7) enumeration into 1 million subtasks which each run for about 2 minutes and leave ~100 holdouts each. Various folks on Discord have been investigating different sections of this domain to search for champions.<br />
<br />
Within three days of the code's release, the Ligockis found three champions after applying their deciders to enumerator output. Shawn Ligocki found the first two, {{TM|1RB0RF_1LC0RE_1RD1LB_1LA1LD_0RA0LE_1RG0LB_1RZ1RB}} and {{TM|1RB1RA_1RC0LC_0LD1LG_1LF0LE_1RZ1LF_0LA1LD_1RA1LC}}, with sigma scores of approximately 10 ↑↑ 22 and 10 ↑↑ 35. That evening, Terry Ligocki found {{TM|1RB0LG_1RC0RF_1LD1RZ_1LF0LE_1RA1LD_1LG1RE_0LB0LB}}, with sigma score ~10 ↑↑ 46. These were all outpaced by Pavel's champion.<br />
<br />
Pavel's champion is enumerated in subtask 243308.<br />
<br />
== Top Halters ==<br />
Based on limited search through a subset of the 1 million subtasks from mxdys's code, the top 20 scoring known machines are:<br />
{| class="wikitable"<br />
!TM<br />
!Approximate sigma score<br />
!Discoverer<br />
|-<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
|Pavel Kropitz<br />
|-<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LE_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|@Iijil<br />
|-<br />
|{{TM|1RB0RB_1LC1RG_1RD1RC_1RE0RA_1LF0LB_1RF0LE_0RD1RZ}}<br />
|10 ↑↑ 228.78<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LD_0LC1RZ_1RA0RD_1RE1LD_1LF0RC_0LG1LE_1RG0LD}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1LA_1LC0RE_0LD1LB_1RD0LA_1RF0RA_0RG0LA_1RB1RZ}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1LA_1LC0RE_0LD1LB_1RD0LA_1RF0RA_1RG0LA_0LE1RZ}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RG0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LG_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RF_0LD1LB_1RD0LE_1RB1LE_1RG0RE_0RA0LE}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LD_0LC1RZ_1RA0RD_1RE1LD_1LF0RC_0LG1LE_1RC0LD}}<br />
|10 ↑↑ 192.67<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1LA_1LC0RE_0LD1LB_1RE1LG_1RF0LG_0RA0LA_0RF1RZ}}<br />
|10 ↑↑ 192.67<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1LA_1LC0RF_0LD0RD_1RF1LE_1LB1RZ_1RG0RA_0RA0LA}}<br />
|10 ↑↑ 192.67<br />
|@C7X<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_1LG1RE_1LD0RF_0RA1RE_1RZ0RA}}<br />
|10 ↑↑ 188.28<br />
|@XnoobSpeakable, @Peacemaker II<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_0RF0LF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LF0RF_0RA1RE_1RZ0RE}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|}<br />
<br />
The top 20 known halters with unique scores are:<br />
<br />
{| class="wikitable"<br />
!TM<br />
!Approximate sigma score<br />
!Discoverer<br />
|-<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
|Pavel Kropitz<br />
|-<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|@Iijil<br />
|-<br />
|{{TM|1RB0RB_1LC1RG_1RD1RC_1RE0RA_1LF0LB_1RF0LE_0RD1RZ}}<br />
|10 ↑↑ 228.78<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC0LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LC}}<br />
|10 ↑↑ 140.28<br />
|@stokastic<br />
|-<br />
|{{TM|1RB0LG_0RC1RZ_1LD0LA_1RE1LE_1LC1RF_0RE0RA_0RF1LG}}<br />
|10 ↑↑ 133.85<br />
|@poppuncher<br />
|-<br />
|{{TM|1RB1RZ_1RC0RF_1LD1RB_1RG0LE_1LD0RA_1RE0LD_0RC1LF}}<br />
|10 ↑↑ 129.24<br />
|@Iijil<br />
|-<br />
|{{TM|1RB0LC_1RC0RG_1RD0LF_1RE0RF_1LA1RG_1LE1LF_1RZ1RD}}<br />
|10 ↑↑ 126.20<br />
|@stokastic<br />
|-<br />
|{{TM|1RB0LD_1RC1RA_0RD1RG_1LE1LF_0LF1LE_0RA0LD_0RA1RZ}}<br />
|10 ↑↑ 124.86<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1LF_1RC1RA_1LD0LD_1LA1LE_0LA0LD_1LG0RF_0LE1RZ}}<br />
|10 ↑↑ 116.98<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0RD_1RC0LA_0LA0LE_1RE1RZ_1RF0RA_1LG0LE_1LC0LG}}<br />
|10 ↑↑ 116.05<br />
|<br />
|-<br />
|{{TM|1RB0RD_1RC0RA_0RD1LD_0LE1LF_1LA0LG_0LC1LB_1LC1RZ}}<br />
|10 ↑↑ 115.52<br />
|@prurq<br />
|-<br />
|{{TM|1RB0RG_1LC0LE_1LD0LB_0LE1RE_0RA1RF_0RD1RC_1RD1RZ}}<br />
|10 ↑↑ 114.83<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RE_1LC0LA_1LD0LC_0LE0LA_1RF0RG_1RD0LE_1RA1RZ}}<br />
|10 ↑↑ 114.60<br />
|Shawn Ligocki<br />
|-<br />
|{{TM|1RB0RE_0RC1LC_0LD1LF_1LE0LG_1RA0RC_0LB1LA_1LB1RZ}}<br />
|10 ↑↑ 114.57<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RC_1LC1LD_1RA0RD_0LF1LE_0LB1LA_0RE0LG_1LB1RZ}}<br />
|10 ↑↑ 114.37<br />
|@C7X<br />
|-<br />
|<code>1RB0RG_1LC0LE_1LD0LB_1RB1RE_0RA1RF_0RD1RC_1RD1RZ</code> (bbch)<br />
|10 ↑↑ 113.38<br />
|Terry Ligocki<br />
|}<br />
<br />
== Current Progress ==<br />
This is a summary of the 1 million subtasks from mxdys's code that have been processed, including further processing by Shawn Ligocki's linear rule code ("TBD" = "To Be Determined", "TBE" = "To Be Entered"):<br />
{| class="wikitable defaultleft"<br />
!rowspan="2"|Task range<br />
!rowspan="2"|Done by<br />
!colspan="2"|Completed<br />
!rowspan="2"|# holdouts<br />
!rowspan="2"|Maximum Score TM<br />
!rowspan="2"|~Sigma<br />
!rowspan="2"|Source<br />
|-<br />
!enumeration<br />
!linear rule<br />
|-<br />
|00xxxx<br />
|rowspan="10"|@Iijil<br />
|Yes<br />
|Yes<br />
|728,495<br />
|{{TM|1RB0RF_1RC1LF_0RD0RD_1LE0LB_1RA1RZ_1LG1RA_1LD0RC}}<br />
|10 ↑↑ 45.64<br />
|rowspan="10"|[https://drive.google.com/drive/folders/1wniwrAuvsHfkvro8Tg65WAMNZEuIekzD Google Drive folder]<br />
|-<br />
|01xxxx<br />
|Yes<br />
|Yes<br />
|817,178<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|-<br />
|02xxxx<br />
|Yes<br />
|No<br />
|963,486<br />
|TBD<br />
|TBD<br />
|-<br />
|03xxxx<br />
|Yes<br />
|No<br />
|1,052,504<br />
|TBD<br />
|TBD<br />
|-<br />
|04xxxx<br />
|Yes<br />
|No<br />
|955,711<br />
|TBD<br />
|TBD<br />
|-<br />
|05xxxx<br />
|Yes<br />
|No<br />
|1,056,745<br />
|TBD<br />
|TBD<br />
|-<br />
|06xxxx<br />
|Yes<br />
|No<br />
|950,271<br />
|TBD<br />
|TBD<br />
|-<br />
|07xxxx<br />
|Yes<br />
|No<br />
|1,053,750<br />
|TBD<br />
|TBD<br />
|-<br />
|08xxxx<br />
|Yes<br />
|No<br />
|951,114<br />
|TBD<br />
|TBD<br />
|-<br />
|09xxxx<br />
|Yes<br />
|No<br />
|1,052,362<br />
|TBD<br />
|TBD<br />
|-<br />
|10xxxx<br />
| rowspan="3" |Andrew Ducharme<br />
|Yes<br />
|Yes<br />
|802,059<br />
|{{TM|1RB0LG_1RC0RA_1LD0LE_1LG1LC_1LF0RB_0LC0RC_1LA1RZ}}<br />
|10 ↑↑ 40.79<br />
| rowspan="3" |[https://drive.google.com/drive/folders/16uDjgOahkhAMWv3v-YWmxJG7xxsBvj4h?usp=sharing Google Drive folder]<br />
|-<br />
|11xxxx<br />
|Yes<br />
|Yes<br />
|1,105,947<br />
|{{TM|1RB0RG_1LC0LE_1LD0LB_0LE1RE_0RA1RF_0RD1RC_1RD1RZ}}<br />
|10 ↑↑ 114.83<br />
|-<br />
|12xxxx<br />
|Yes<br />
|Yes<br />
|800,882<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LE_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|-<br />
|13xxxx<br />
|Shawn Ligocki<br />
|Yes<br />
|Yes<br />
|1,192,442<br />
|{{TM|1RB0RE_1LC0LA_1LD0LC_0LE0LA_1RF0RG_1RD0LE_1RA1RZ}}<br />
|10 ↑↑ 114.60<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|14xxxx<br />
| rowspan="3" |Andrew Ducharme<br />
|Yes<br />
|Yes<br />
|797,532<br />
|{{TM|1RB0LC_1LC0LD_1LA1LB_0LG1RE_0RF0LD_0RA1RE_1RZ1LC}}<br />
|10 ↑↑ 140.28<br />
| rowspan="3" |[https://drive.google.com/drive/folders/16uDjgOahkhAMWv3v-YWmxJG7xxsBvj4h?usp=sharing Google Drive folder]<br />
|-<br />
|15xxxx<br />
|Yes<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|16xxxx<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|19xxxx<br />
|@isokate<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|<br />
|-<br />
|<br />
20xxxx<br />
| rowspan="2" | @C7X<br />
|Yes<br />
|Yes<br />
|728,510<br />
|{{TM|1RB1LA_1LC0RF_0LD0RD_1RF1LE_1LB1RZ_1RG0RA_0RA0LA}}<br />
|10↑↑192.67<br />
| rowspan="2" | [https://drive.google.com/drive/folders/11iGTKsvu2Y7aFrwOcWS1LYvcN6i_7-JM?usp=sharing Google Drive folder]<br />
|-<br />
|<br />
21xxxx -<br/><br />
23xxxx<br />
|Yes<br />
|No<br />
|3,065,946<br />
|TBD<br />
|TBD<br />
|-<br />
|24xxxx<br />
|Andrew Ducharme<br />
|Yes<br />
|Yes<br />
|712,356<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}*<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3^*</math><br />
|[https://drive.google.com/drive/folders/16uDjgOahkhAMWv3v-YWmxJG7xxsBvj4h?usp=sharing Google Drive folder]<br />
|-<br />
|25xxxx<br />
|rowspan="10"|@stokastic<br />
|Yes<br />
|Yes<br />
|815,919<br />
|{{TM|1RB1RZ_1LC0LE_0LD0LC_0RE1LB_1RF0RG_0LD1RB_1RD1RA}}<br />
|10 ↑↑ 31.33<br />
|rowspan="10"|[https://drive.google.com/drive/folders/16_qIdWWD-wolj6zURB5ZSbY-otI4zoUF?usp=sharing Google Drive folder] <br />
|-<br />
|26xxxx<br />
|Yes<br />
|Yes<br />
|731,995<br />
|{{TM|1RB1RZ_0LC1RB_0LE0LD_1LE1LD_0RF0LC_0RG1RF_1RD0RA}}<br />
|10 ↑↑ 36.26<br />
|-<br />
|27xxxx<br />
|Yes<br />
|Yes<br />
|811,486<br />
|{{TM|1RB0RG_1LC1LB_0RE0LD_0LC1RF_0RA1RE_0LF0LB_1RF1RZ}}<br />
|10 ↑↑ 63.56<br />
|-<br />
|28xxxx<br />
|Yes<br />
|Yes<br />
|956,935<br />
|{{TM|1RB1RZ_0LC1RC_0RE1RD_0RB1RG_1RF0RA_1LG0LC_1LB0LF}}<br />
|10 ↑↑ 114.57<br />
|-<br />
|29xxxx<br />
|Yes<br />
|Yes<br />
|1,052,415<br />
|{{TM|1RB1LA_1RC1RD_0LA1LG_1RZ0LE_1RB1RF_1RE0LC_0RE1LF}}<br />
|10 ↑↑ 31.67<br />
|-<br />
|30xxxx<br />
|Yes<br />
|Yes<br />
|1,032,095<br />
|{{TM|1RB0LC_1RC0RG_1RD0LF_1RE0RF_1LA1RG_1LE1LF_1RZ1RD}}<br />
|10 ↑↑ 126.20<br />
|-<br />
|31xxxx<br />
|Yes<br />
|Yes<br />
|1,436,970<br />
|{{TM|1RB1LD_1LC0RF_0RA0LB_0LE1RZ_1LA0LE_1RG1LA_0RC0RF}}<br />
|10 ↑↑ 50.27<br />
|-<br />
|32xxxx<br />
|Yes<br />
|Yes<br />
|1,036,950<br />
|{{TM|1RB1RD_1LC0RF_0LE0LD_1LE1LE_1RF0LB_1RB0RG_1RA1RZ}}<br />
|10 ↑↑ 50.28<br />
|-<br />
|33xxxx<br />
|Yes<br />
|Yes<br />
|1,432,081<br />
|{{TM|1RB0LC_1LC0LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LC}}<br />
|10 ↑↑ 140.28<br />
|-<br />
|34xxxx<br />
|Yes<br />
|Yes<br />
|1,032,970<br />
|{{TM|1RB0RA_1LC0LE_0LD0LB_1RE0RD_0RA0LF_1RD1RG_0RF1RZ}}<br />
|10 ↑↑ 72.69<br />
|-<br />
|<br />
35xxxx -<br/><br />
39xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|4,894,047<br />
|{{TM|1RB1RZ_1LC0RF_0LD1LB_1RD0LE_1RB1LE_1RG0RE_0RA0LE}}<br />
|10 ↑↑ 192.67<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|40xxxx<br />
| rowspan="8" |Andrew Ducharme<br />
|Yes<br />
|Yes<br />
|730,310<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
| rowspan="8" |[https://drive.google.com/drive/folders/16uDjgOahkhAMWv3v-YWmxJG7xxsBvj4h?usp=sharing Google Drive folder]<br />
|-<br />
|41xxxx<br />
|Yes<br />
|Yes<br />
|814,075<br />
|{{TM|1RB0LD_0LC1RZ_1RA0RD_1RE1LD_1LF0RC_0LG1LE_1RC0LD}}<br />
|10 ↑↑ 192.67<br />
|-<br />
|42xxxx<br />
|Yes<br />
|Yes<br />
|739,729<br />
|{{TM|1RB1LD_0RC1RF_1LD0LE_0LE0LA_1LA1LE_1RG0LA_1RZ1RA}}<br />
|10 ↑↑ 46.26<br />
|-<br />
|43xxxx<br />
|Yes<br />
|Yes<br />
|817,332<br />
|{{TM|1RB0LE_1RC1RA_1RD0RG_1LA1RZ_1RA1LF_1LA0LE_0RF1RG}}<br />
|10 ↑↑ 93.81<br />
|-<br />
|44xxxx<br />
|Yes<br />
|Yes<br />
|729,686<br />
|{{TM|1RB1LC_1RC0RC_1RD1LA_0RE1RF_1LC0LG_1LA1LE_1RZ1LF}}<br />
|10 ↑↑ 76.36<br />
|-<br />
|45xxxx<br />
|Yes<br />
|Yes<br />
|812,973<br />
|{{TM|1RB0RE_0RC1LC_0LD1LF_1LE0LG_1RA0RC_0LB1LA_1LB1RZ}}<br />
|10 ↑↑ 114.57<br />
|-<br />
|46xxxx<br />
|Yes<br />
|Yes<br />
|725,102<br />
|{{TM|1RB1RA_0LC0RE_0LD1LC_1LA0LF_0RB0RA_1LG1RZ_0RE1LG}}<br />
|10 ↑↑ 36.26<br />
|-<br />
|47xxxx<br />
|Yes<br />
|Yes<br />
|812120<br />
|{{TM|1RB1LA_1LC0RE_0LD1LB_1RE1LG_1RF0LG_0RA0LA_0RF1RZ}}<br />
|10 ↑↑ 192.67<br />
|-<br />
|48xxxx<br />
| rowspan="2" |Tobiáš Brichta<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
| rowspan="2" |[https://drive.google.com/drive/folders/1-csgJ5uSIX3SKlqTkSnhkUuEYLKgCw81 Google Drive folder]<br />
|-<br />
|49xxxx<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|500xxx<br />
|rowspan="2"|@prurq<br />
|Yes<br />
|Yes<br />
|120,520<br />
|{{TM|1RB0RD_1RC0RA_0RD1LD_0LE1LF_1LA0LG_0LC1LB_1LC1RZ}}<br />
|10 ↑↑ 115.52<br />
|rowspan="2"|[https://drive.google.com/drive/folders/145H4sT4F9KJYGSrlIETZdBOIMR7krLQm Google Drive folder]<br />
|-<br />
|501xxx<br />
|Yes<br />
|No<br />
|96,102<br />
|TBD<br />
|TBD<br />
|-<br />
|51xxxx<br />
| rowspan="2" |@gerbil5709<br />
|Yes<br />
|No<br />
|1,436,814<br />
|TBD<br />
|TBD<br />
| rowspan="2" |[https://drive.google.com/drive/folders/1kAvBebeF09CEVocCk5bGKlDJfRN8co_i?usp=sharing Google Drive folder]<br />
|-<br />
|52xxxx<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|57xxxx<br />
|Terry Ligocki<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|58xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|795,772<br />
|{{TM|1RB0RD_1RC0RA_1LA1LD_0LF1LE_0LC1LB_1LA0LG_1LC1RZ<br />
|10 ↑↑ 115.32<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|59xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|1,094,678<br />
|{{TM|1RB0LF_0LC0RA_1LA1RD_0RE1RZ_1RC0RE_1LG1RC_0LB1RA}}<br />
|10 ↑↑ 124.12<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|60xxxx<br />
| rowspan="5" |@gerbil5709<br />
|Yes<br />
|No<br />
|957,769<br />
|TBD<br />
|TBD<br />
| rowspan="5" |[https://drive.google.com/drive/folders/1kAvBebeF09CEVocCk5bGKlDJfRN8co_i?usp=sharing Google Drive folder]<br />
|-<br />
|61xxxx<br />
|Yes<br />
|No<br />
|1,052,047<br />
|TBD<br />
|TBD<br />
|-<br />
|62xxxx<br />
|Yes<br />
|No<br />
|959,753 <br />
|TBD<br />
|TBD<br />
|-<br />
|63xxxx<br />
|Yes<br />
|No<br />
|1,051,882<br />
|TBD<br />
|TBD<br />
|-<br />
|64xxxx<br />
|Yes<br />
|No<br />
|957,669<br />
|TBD<br />
|TBD<br />
|-<br />
|<br />
65xxxx -<br/><br />
68xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|3,076,778<br />
|{{TM|1RB0LD_0LC1RZ_1RA0RD_1RE1LD_1LF0RC_0LG1LE_1RG0LD}}<br />
|10 ↑↑ 192.67<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|69xxxx<br />
|@poppuncher<br />
|Yes<br />
|Yes<br />
|1,053,119<br />
|{{TM|1RB0LG_0RC1RZ_1LD0LA_1RE1LE_1LC1RF_0RE0RA_0RF1LG}}<br />
|10 ↑↑ 133.85<br />
|[https://drive.google.com/drive/folders/1KlCZqXxqVPuBPkDcCBocuMPA8paq9b8P?usp=drive_link Google Drive folder]<br />
|-<br />
|70xxxx<br />
|@hipparcos<br />
|Yes<br />
|Yes<br />
|798,304<br />
|{{TM|1RB0LF_1RC1LE_0RD1RA_1RE1RG_0LA1LB_1LE1RG_0RC1RZ}}<br />
|10 ↑↑ 33.81<br />
|[https://github.com/jhuang97/bb7x2/releases/tag/70xxxx Github release]<br />
|-<br />
|71xxxx<br />
|@hipparcos<br />
|Yes<br />
|Yes<br />
|1,100,790<br />
|{{TM|1RB1RZ_1LC1RD_0LD0LC_1LE1RA_1LF0LE_1RF0RG_1RG0RD}}<br />
|10 ↑↑ 77.50<br />
|[https://github.com/jhuang97/bb7x2/releases/tag/71xxxx Github release]<br />
|-<br />
|<br />
72xxxx -<br/><br />
79xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|7,627,514<br />
|{{TM|1RB0RB_1LC1RG_1RD1RC_1RE0RA_1LF0LB_1RF0LE_0RD1RZ}}<br />
|10 ↑↑ 228.78<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|80xxxx<br />
|@xnoobspeakable<br />
|Yes<br />
|No<br />
|964,396<br />
|TBD<br />
|TBD<br />
| rowspan="2" |[https://drive.google.com/drive/folders/1TpuEC7KottEmvsFnCREugnlVMPaY5ZHi?usp=sharing Google Drive folder]<br />
|-<br />
|81xxxx<br />
|@xnoobspeakable<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|<br />
82xxxx -<br/><br />
99xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|15,673,786<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|}<br />
<nowiki>*</nowiki>The current BB(7) champion TM {{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}* was discovered by Pavel Kropitz in the enumeration of subtask 243308. The remaining subtasks in the 24xxxx range were enumerated and filtered by Andrew Ducharme.<br />
[[Category:BB Domain]]</div>
Gerbil
https://wiki.bbchallenge.org/w/index.php?title=BB(7)&diff=2295
BB(7)
2025-06-28T05:33:11Z
<p>Gerbil: /* Current Progress */</p>
<hr />
<div>The 7-state, 2-symbol Busy Beaver problem, '''BB(7)''', refers to the unsolved 7<sup>th</sup> value of the [[Busy Beaver function]]. With the compilation of the [[Cryptid]] machine [[Bigfoot]] into a 7-state, 2-symbol machine in May 2024, we now know that we must solve a [[Collatz-like]] problem in order to solve BB(7).<br />
<br />
The current BB(7) champion {{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}} was discovered by Pavel Kropitz in May 2025, proving the lower bound: <math display="block">S(7) > \Sigma(7) > 2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
<br />
== History ==<br />
Before 2025, the only known BB(7) champions were produced by hand, not by search. For example, Milton Green designed a machine in 1964 that had [[sigma score]] 22,961 and Wythagoras modified a BB(6) champion in 2014 to produce a machine that had sigma score <math>> 10 \uparrow\uparrow 5</math>.<br />
<br />
In May 2025, mxdys shared [https://github.com/ccz181078/TM C++ code] that breaks up the BB(7) enumeration into 1 million subtasks which each run for about 2 minutes and leave ~100 holdouts each. Various folks on Discord have been investigating different sections of this domain to search for champions.<br />
<br />
Within three days of the code's release, the Ligockis found three champions after applying their deciders to enumerator output. Shawn Ligocki found the first two, {{TM|1RB0RF_1LC0RE_1RD1LB_1LA1LD_0RA0LE_1RG0LB_1RZ1RB}} and {{TM|1RB1RA_1RC0LC_0LD1LG_1LF0LE_1RZ1LF_0LA1LD_1RA1LC}}, with sigma scores of approximately 10 ↑↑ 22 and 10 ↑↑ 35. That evening, Terry Ligocki found {{TM|1RB0LG_1RC0RF_1LD1RZ_1LF0LE_1RA1LD_1LG1RE_0LB0LB}}, with sigma score ~10 ↑↑ 46. These were all outpaced by Pavel's champion.<br />
<br />
Pavel's champion is enumerated in subtask 243308.<br />
<br />
== Top Halters ==<br />
Based on limited search through a subset of the 1 million subtasks from mxdys's code, the top 20 scoring known machines are:<br />
{| class="wikitable"<br />
!TM<br />
!Approximate sigma score<br />
!Discoverer<br />
|-<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
|Pavel Kropitz<br />
|-<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LE_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|@Iijil<br />
|-<br />
|{{TM|1RB0RB_1LC1RG_1RD1RC_1RE0RA_1LF0LB_1RF0LE_0RD1RZ}}<br />
|10 ↑↑ 228.78<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LD_0LC1RZ_1RA0RD_1RE1LD_1LF0RC_0LG1LE_1RG0LD}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1LA_1LC0RE_0LD1LB_1RD0LA_1RF0RA_0RG0LA_1RB1RZ}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1LA_1LC0RE_0LD1LB_1RD0LA_1RF0RA_1RG0LA_0LE1RZ}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RG0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LG_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RF_0LD1LB_1RD0LE_1RB1LE_1RG0RE_0RA0LE}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LD_0LC1RZ_1RA0RD_1RE1LD_1LF0RC_0LG1LE_1RC0LD}}<br />
|10 ↑↑ 192.67<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1LA_1LC0RE_0LD1LB_1RE1LG_1RF0LG_0RA0LA_0RF1RZ}}<br />
|10 ↑↑ 192.67<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1LA_1LC0RF_0LD0RD_1RF1LE_1LB1RZ_1RG0RA_0RA0LA}}<br />
|10 ↑↑ 192.67<br />
|@C7X<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_1LG1RE_1LD0RF_0RA1RE_1RZ0RA}}<br />
|10 ↑↑ 188.28<br />
|@XnoobSpeakable, @Peacemaker II<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_0RF0LF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LF0RF_0RA1RE_1RZ0RE}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|}<br />
<br />
The top 20 known halters with unique scores are:<br />
<br />
{| class="wikitable"<br />
!TM<br />
!Approximate sigma score<br />
!Discoverer<br />
|-<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
|Pavel Kropitz<br />
|-<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|@Iijil<br />
|-<br />
|{{TM|1RB0RB_1LC1RG_1RD1RC_1RE0RA_1LF0LB_1RF0LE_0RD1RZ}}<br />
|10 ↑↑ 228.78<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC0LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LC}}<br />
|10 ↑↑ 140.28<br />
|@stokastic<br />
|-<br />
|{{TM|1RB0LG_0RC1RZ_1LD0LA_1RE1LE_1LC1RF_0RE0RA_0RF1LG}}<br />
|10 ↑↑ 133.85<br />
|@poppuncher<br />
|-<br />
|{{TM|1RB1RZ_1RC0RF_1LD1RB_1RG0LE_1LD0RA_1RE0LD_0RC1LF}}<br />
|10 ↑↑ 129.24<br />
|@Iijil<br />
|-<br />
|{{TM|1RB0LC_1RC0RG_1RD0LF_1RE0RF_1LA1RG_1LE1LF_1RZ1RD}}<br />
|10 ↑↑ 126.20<br />
|@stokastic<br />
|-<br />
|{{TM|1RB0LD_1RC1RA_0RD1RG_1LE1LF_0LF1LE_0RA0LD_0RA1RZ}}<br />
|10 ↑↑ 124.86<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1LF_1RC1RA_1LD0LD_1LA1LE_0LA0LD_1LG0RF_0LE1RZ}}<br />
|10 ↑↑ 116.98<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0RD_1RC0LA_0LA0LE_1RE1RZ_1RF0RA_1LG0LE_1LC0LG}}<br />
|10 ↑↑ 116.05<br />
|<br />
|-<br />
|{{TM|1RB0RD_1RC0RA_0RD1LD_0LE1LF_1LA0LG_0LC1LB_1LC1RZ}}<br />
|10 ↑↑ 115.52<br />
|@prurq<br />
|-<br />
|{{TM|1RB0RG_1LC0LE_1LD0LB_0LE1RE_0RA1RF_0RD1RC_1RD1RZ}}<br />
|10 ↑↑ 114.83<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RE_1LC0LA_1LD0LC_0LE0LA_1RF0RG_1RD0LE_1RA1RZ}}<br />
|10 ↑↑ 114.60<br />
|Shawn Ligocki<br />
|-<br />
|{{TM|1RB0RE_0RC1LC_0LD1LF_1LE0LG_1RA0RC_0LB1LA_1LB1RZ}}<br />
|10 ↑↑ 114.57<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RC_1LC1LD_1RA0RD_0LF1LE_0LB1LA_0RE0LG_1LB1RZ}}<br />
|10 ↑↑ 114.37<br />
|@C7X<br />
|-<br />
|<code>1RB0RG_1LC0LE_1LD0LB_1RB1RE_0RA1RF_0RD1RC_1RD1RZ</code> (bbch)<br />
|10 ↑↑ 113.38<br />
|Terry Ligocki<br />
|}<br />
<br />
== Current Progress ==<br />
This is a summary of the 1 million subtasks from mxdys's code that have been processed, including further processing by Shawn Ligocki's linear rule code ("TBD" = "To Be Determined", "TBE" = "To Be Entered"):<br />
{| class="wikitable defaultleft"<br />
!rowspan="2"|Task range<br />
!rowspan="2"|Done by<br />
!colspan="2"|Completed<br />
!rowspan="2"|# holdouts<br />
!rowspan="2"|Maximum Score TM<br />
!rowspan="2"|~Sigma<br />
!rowspan="2"|Source<br />
|-<br />
!enumeration<br />
!linear rule<br />
|-<br />
|00xxxx<br />
|rowspan="10"|@Iijil<br />
|Yes<br />
|Yes<br />
|728,495<br />
|{{TM|1RB0RF_1RC1LF_0RD0RD_1LE0LB_1RA1RZ_1LG1RA_1LD0RC}}<br />
|10 ↑↑ 45.64<br />
|rowspan="10"|[https://drive.google.com/drive/folders/1wniwrAuvsHfkvro8Tg65WAMNZEuIekzD Google Drive folder]<br />
|-<br />
|01xxxx<br />
|Yes<br />
|Yes<br />
|817,178<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|-<br />
|02xxxx<br />
|Yes<br />
|No<br />
|963,486<br />
|TBD<br />
|TBD<br />
|-<br />
|03xxxx<br />
|Yes<br />
|No<br />
|1,052,504<br />
|TBD<br />
|TBD<br />
|-<br />
|04xxxx<br />
|Yes<br />
|No<br />
|955,711<br />
|TBD<br />
|TBD<br />
|-<br />
|05xxxx<br />
|Yes<br />
|No<br />
|1,056,745<br />
|TBD<br />
|TBD<br />
|-<br />
|06xxxx<br />
|Yes<br />
|No<br />
|950,271<br />
|TBD<br />
|TBD<br />
|-<br />
|07xxxx<br />
|Yes<br />
|No<br />
|1,053,750<br />
|TBD<br />
|TBD<br />
|-<br />
|08xxxx<br />
|Yes<br />
|No<br />
|951,114<br />
|TBD<br />
|TBD<br />
|-<br />
|09xxxx<br />
|Yes<br />
|No<br />
|1,052,362<br />
|TBD<br />
|TBD<br />
|-<br />
|10xxxx<br />
| rowspan="3" |Andrew Ducharme<br />
|Yes<br />
|Yes<br />
|802,059<br />
|{{TM|1RB0LG_1RC0RA_1LD0LE_1LG1LC_1LF0RB_0LC0RC_1LA1RZ}}<br />
|10 ↑↑ 40.79<br />
| rowspan="3" |[https://drive.google.com/drive/folders/16uDjgOahkhAMWv3v-YWmxJG7xxsBvj4h?usp=sharing Google Drive folder]<br />
|-<br />
|11xxxx<br />
|Yes<br />
|Yes<br />
|1,105,947<br />
|{{TM|1RB0RG_1LC0LE_1LD0LB_0LE1RE_0RA1RF_0RD1RC_1RD1RZ}}<br />
|10 ↑↑ 114.83<br />
|-<br />
|12xxxx<br />
|Yes<br />
|Yes<br />
|800,882<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LE_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|-<br />
|13xxxx<br />
|Shawn Ligocki<br />
|Yes<br />
|Yes<br />
|1,192,442<br />
|{{TM|1RB0RE_1LC0LA_1LD0LC_0LE0LA_1RF0RG_1RD0LE_1RA1RZ}}<br />
|10 ↑↑ 114.60<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|14xxxx<br />
| rowspan="2" |Andrew Ducharme<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
| rowspan="2" |[https://drive.google.com/drive/folders/16uDjgOahkhAMWv3v-YWmxJG7xxsBvj4h?usp=sharing Google Drive folder]<br />
|-<br />
|15xxxx<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|19xxxx<br />
|@isokate<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|<br />
|-<br />
|<br />
20xxxx<br />
| rowspan="2" | @C7X<br />
|Yes<br />
|Yes<br />
|728,510<br />
|{{TM|1RB1LA_1LC0RF_0LD0RD_1RF1LE_1LB1RZ_1RG0RA_0RA0LA}}<br />
|10↑↑192.67<br />
| rowspan="2" | [https://drive.google.com/drive/folders/11iGTKsvu2Y7aFrwOcWS1LYvcN6i_7-JM?usp=sharing Google Drive folder]<br />
|-<br />
|<br />
21xxxx -<br/><br />
23xxxx<br />
|Yes<br />
|No<br />
|3,065,946<br />
|TBD<br />
|TBD<br />
|-<br />
|24xxxx<br />
|Andrew Ducharme<br />
|Yes<br />
|Yes<br />
|712,356<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}*<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3^*</math><br />
|[https://drive.google.com/drive/folders/16uDjgOahkhAMWv3v-YWmxJG7xxsBvj4h?usp=sharing Google Drive folder]<br />
|-<br />
|25xxxx<br />
|rowspan="10"|@stokastic<br />
|Yes<br />
|Yes<br />
|815,919<br />
|{{TM|1RB1RZ_1LC0LE_0LD0LC_0RE1LB_1RF0RG_0LD1RB_1RD1RA}}<br />
|10 ↑↑ 31.33<br />
|rowspan="10"|[https://drive.google.com/drive/folders/16_qIdWWD-wolj6zURB5ZSbY-otI4zoUF?usp=sharing Google Drive folder] <br />
|-<br />
|26xxxx<br />
|Yes<br />
|Yes<br />
|731,995<br />
|{{TM|1RB1RZ_0LC1RB_0LE0LD_1LE1LD_0RF0LC_0RG1RF_1RD0RA}}<br />
|10 ↑↑ 36.26<br />
|-<br />
|27xxxx<br />
|Yes<br />
|Yes<br />
|811,486<br />
|{{TM|1RB0RG_1LC1LB_0RE0LD_0LC1RF_0RA1RE_0LF0LB_1RF1RZ}}<br />
|10 ↑↑ 63.56<br />
|-<br />
|28xxxx<br />
|Yes<br />
|Yes<br />
|956,935<br />
|{{TM|1RB1RZ_0LC1RC_0RE1RD_0RB1RG_1RF0RA_1LG0LC_1LB0LF}}<br />
|10 ↑↑ 114.57<br />
|-<br />
|29xxxx<br />
|Yes<br />
|Yes<br />
|1,052,415<br />
|{{TM|1RB1LA_1RC1RD_0LA1LG_1RZ0LE_1RB1RF_1RE0LC_0RE1LF}}<br />
|10 ↑↑ 31.67<br />
|-<br />
|30xxxx<br />
|Yes<br />
|Yes<br />
|1,032,095<br />
|{{TM|1RB0LC_1RC0RG_1RD0LF_1RE0RF_1LA1RG_1LE1LF_1RZ1RD}}<br />
|10 ↑↑ 126.20<br />
|-<br />
|31xxxx<br />
|Yes<br />
|Yes<br />
|1,436,970<br />
|{{TM|1RB1LD_1LC0RF_0RA0LB_0LE1RZ_1LA0LE_1RG1LA_0RC0RF}}<br />
|10 ↑↑ 50.27<br />
|-<br />
|32xxxx<br />
|Yes<br />
|Yes<br />
|1,036,950<br />
|{{TM|1RB1RD_1LC0RF_0LE0LD_1LE1LE_1RF0LB_1RB0RG_1RA1RZ}}<br />
|10 ↑↑ 50.28<br />
|-<br />
|33xxxx<br />
|Yes<br />
|Yes<br />
|1,432,081<br />
|{{TM|1RB0LC_1LC0LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LC}}<br />
|10 ↑↑ 140.28<br />
|-<br />
|34xxxx<br />
|Yes<br />
|Yes<br />
|1,032,970<br />
|{{TM|1RB0RA_1LC0LE_0LD0LB_1RE0RD_0RA0LF_1RD1RG_0RF1RZ}}<br />
|10 ↑↑ 72.69<br />
|-<br />
|<br />
35xxxx -<br/><br />
39xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|4,894,047<br />
|{{TM|1RB1RZ_1LC0RF_0LD1LB_1RD0LE_1RB1LE_1RG0RE_0RA0LE}}<br />
|10 ↑↑ 192.67<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|40xxxx<br />
| rowspan="8" |Andrew Ducharme<br />
|Yes<br />
|Yes<br />
|730,310<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
| rowspan="8" |[https://drive.google.com/drive/folders/16uDjgOahkhAMWv3v-YWmxJG7xxsBvj4h?usp=sharing Google Drive folder]<br />
|-<br />
|41xxxx<br />
|Yes<br />
|Yes<br />
|814,075<br />
|{{TM|1RB0LD_0LC1RZ_1RA0RD_1RE1LD_1LF0RC_0LG1LE_1RC0LD}}<br />
|10 ↑↑ 192.67<br />
|-<br />
|42xxxx<br />
|Yes<br />
|Yes<br />
|739,729<br />
|{{TM|1RB1LD_0RC1RF_1LD0LE_0LE0LA_1LA1LE_1RG0LA_1RZ1RA}}<br />
|10 ↑↑ 46.26<br />
|-<br />
|43xxxx<br />
|Yes<br />
|Yes<br />
|817,332<br />
|{{TM|1RB0LE_1RC1RA_1RD0RG_1LA1RZ_1RA1LF_1LA0LE_0RF1RG}}<br />
|10 ↑↑ 93.81<br />
|-<br />
|44xxxx<br />
|Yes<br />
|Yes<br />
|729,686<br />
|{{TM|1RB1LC_1RC0RC_1RD1LA_0RE1RF_1LC0LG_1LA1LE_1RZ1LF}}<br />
|10 ↑↑ 76.36<br />
|-<br />
|45xxxx<br />
|Yes<br />
|Yes<br />
|812,973<br />
|{{TM|1RB0RE_0RC1LC_0LD1LF_1LE0LG_1RA0RC_0LB1LA_1LB1RZ}}<br />
|10 ↑↑ 114.57<br />
|-<br />
|46xxxx<br />
|Yes<br />
|Yes<br />
|725,102<br />
|{{TM|1RB1RA_0LC0RE_0LD1LC_1LA0LF_0RB0RA_1LG1RZ_0RE1LG}}<br />
|10 ↑↑ 36.26<br />
|-<br />
|47xxxx<br />
|Yes<br />
|Yes<br />
|812120<br />
|{{TM|1RB1LA_1LC0RE_0LD1LB_1RE1LG_1RF0LG_0RA0LA_0RF1RZ}}<br />
|10 ↑↑ 192.67<br />
|-<br />
|48xxxx<br />
| rowspan="2" |Tobiáš Brichta<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
| rowspan="2" |[https://drive.google.com/drive/folders/1-csgJ5uSIX3SKlqTkSnhkUuEYLKgCw81 Google Drive folder]<br />
|-<br />
|49xxxx<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|500xxx<br />
|rowspan="2"|@prurq<br />
|Yes<br />
|Yes<br />
|120,520<br />
|{{TM|1RB0RD_1RC0RA_0RD1LD_0LE1LF_1LA0LG_0LC1LB_1LC1RZ}}<br />
|10 ↑↑ 115.52<br />
|rowspan="2"|[https://drive.google.com/drive/folders/145H4sT4F9KJYGSrlIETZdBOIMR7krLQm Google Drive folder]<br />
|-<br />
|501xxx<br />
|Yes<br />
|No<br />
|96,102<br />
|TBD<br />
|TBD<br />
|-<br />
|51xxxx<br />
|@gerbil5709<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|[https://drive.google.com/drive/folders/1kAvBebeF09CEVocCk5bGKlDJfRN8co_i?usp=sharing Google Drive folder]<br />
|-<br />
|58xxxx<br />
|Terry Ligocki<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|59xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|1,094,678<br />
|{{TM|1RB0LF_0LC0RA_1LA1RD_0RE1RZ_1RC0RE_1LG1RC_0LB1RA}}<br />
|10 ↑↑ 124.12<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|60xxxx<br />
| rowspan="5" |@gerbil5709<br />
|Yes<br />
|No<br />
|957,769<br />
|TBD<br />
|TBD<br />
| rowspan="5" |[https://drive.google.com/drive/folders/1kAvBebeF09CEVocCk5bGKlDJfRN8co_i?usp=sharing Google Drive folder]<br />
|-<br />
|61xxxx<br />
|Yes<br />
|No<br />
|1,052,047<br />
|TBD<br />
|TBD<br />
|-<br />
|62xxxx<br />
|Yes<br />
|No<br />
|959,753 <br />
|TBD<br />
|TBD<br />
|-<br />
|63xxxx<br />
|Yes<br />
|No<br />
|1,051,882<br />
|TBD<br />
|TBD<br />
|-<br />
|64xxxx<br />
|Yes<br />
|No<br />
|957,669<br />
|TBD<br />
|TBD<br />
|-<br />
|<br />
65xxxx -<br/><br />
68xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|3,076,778<br />
|{{TM|1RB0LD_0LC1RZ_1RA0RD_1RE1LD_1LF0RC_0LG1LE_1RG0LD}}<br />
|10 ↑↑ 192.67<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|69xxxx<br />
|@poppuncher<br />
|Yes<br />
|Yes<br />
|1,053,119<br />
|{{TM|1RB0LG_0RC1RZ_1LD0LA_1RE1LE_1LC1RF_0RE0RA_0RF1LG}}<br />
|10 ↑↑ 133.85<br />
|[https://drive.google.com/drive/folders/1KlCZqXxqVPuBPkDcCBocuMPA8paq9b8P?usp=drive_link Google Drive folder]<br />
|-<br />
|70xxxx<br />
|@hipparcos<br />
|Yes<br />
|Yes<br />
|798,304<br />
|{{TM|1RB0LF_1RC1LE_0RD1RA_1RE1RG_0LA1LB_1LE1RG_0RC1RZ}}<br />
|10 ↑↑ 33.81<br />
|[https://github.com/jhuang97/bb7x2/releases/tag/70xxxx Github release]<br />
|-<br />
|71xxxx<br />
|@hipparcos<br />
|Yes<br />
|Yes<br />
|1,100,790<br />
|{{TM|1RB1RZ_1LC1RD_0LD0LC_1LE1RA_1LF0LE_1RF0RG_1RG0RD}}<br />
|10 ↑↑ 77.50<br />
|[https://github.com/jhuang97/bb7x2/releases/tag/71xxxx Github release]<br />
|-<br />
|<br />
72xxxx -<br/><br />
79xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|7,627,514<br />
|{{TM|1RB0RB_1LC1RG_1RD1RC_1RE0RA_1LF0LB_1RF0LE_0RD1RZ}}<br />
|10 ↑↑ 228.78<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|80xxxx<br />
|@xnoobspeakable<br />
|Yes<br />
|No<br />
|964,396<br />
|TBD<br />
|TBD<br />
| rowspan="2" |[https://drive.google.com/drive/folders/1TpuEC7KottEmvsFnCREugnlVMPaY5ZHi?usp=sharing Google Drive folder]<br />
|-<br />
|81xxxx<br />
|@xnoobspeakable<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|<br />
82xxxx -<br/><br />
99xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|15,673,786<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|}<br />
<nowiki>*</nowiki>The current BB(7) champion TM {{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}* was discovered by Pavel Kropitz in the enumeration of subtask 243308. The remaining subtasks in the 24xxxx range were enumerated and filtered by Andrew Ducharme.<br />
[[Category:BB Domain]]</div>
Gerbil
https://wiki.bbchallenge.org/w/index.php?title=BB(7)&diff=2294
BB(7)
2025-06-28T05:26:18Z
<p>Gerbil: /* Current Progress */</p>
<hr />
<div>The 7-state, 2-symbol Busy Beaver problem, '''BB(7)''', refers to the unsolved 7<sup>th</sup> value of the [[Busy Beaver function]]. With the compilation of the [[Cryptid]] machine [[Bigfoot]] into a 7-state, 2-symbol machine in May 2024, we now know that we must solve a [[Collatz-like]] problem in order to solve BB(7).<br />
<br />
The current BB(7) champion {{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}} was discovered by Pavel Kropitz in May 2025, proving the lower bound: <math display="block">S(7) > \Sigma(7) > 2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
<br />
== History ==<br />
Before 2025, the only known BB(7) champions were produced by hand, not by search. For example, Milton Green designed a machine in 1964 that had [[sigma score]] 22,961 and Wythagoras modified a BB(6) champion in 2014 to produce a machine that had sigma score <math>> 10 \uparrow\uparrow 5</math>.<br />
<br />
In May 2025, mxdys shared [https://github.com/ccz181078/TM C++ code] that breaks up the BB(7) enumeration into 1 million subtasks which each run for about 2 minutes and leave ~100 holdouts each. Various folks on Discord have been investigating different sections of this domain to search for champions.<br />
<br />
Within three days of the code's release, the Ligockis found three champions after applying their deciders to enumerator output. Shawn Ligocki found the first two, {{TM|1RB0RF_1LC0RE_1RD1LB_1LA1LD_0RA0LE_1RG0LB_1RZ1RB}} and {{TM|1RB1RA_1RC0LC_0LD1LG_1LF0LE_1RZ1LF_0LA1LD_1RA1LC}}, with sigma scores of approximately 10 ↑↑ 22 and 10 ↑↑ 35. That evening, Terry Ligocki found {{TM|1RB0LG_1RC0RF_1LD1RZ_1LF0LE_1RA1LD_1LG1RE_0LB0LB}}, with sigma score ~10 ↑↑ 46. These were all outpaced by Pavel's champion.<br />
<br />
Pavel's champion is enumerated in subtask 243308.<br />
<br />
== Top Halters ==<br />
Based on limited search through a subset of the 1 million subtasks from mxdys's code, the top 20 scoring known machines are:<br />
{| class="wikitable"<br />
!TM<br />
!Approximate sigma score<br />
!Discoverer<br />
|-<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
|Pavel Kropitz<br />
|-<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LE_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|@Iijil<br />
|-<br />
|{{TM|1RB0RB_1LC1RG_1RD1RC_1RE0RA_1LF0LB_1RF0LE_0RD1RZ}}<br />
|10 ↑↑ 228.78<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LD_0LC1RZ_1RA0RD_1RE1LD_1LF0RC_0LG1LE_1RG0LD}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1LA_1LC0RE_0LD1LB_1RD0LA_1RF0RA_0RG0LA_1RB1RZ}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1LA_1LC0RE_0LD1LB_1RD0LA_1RF0RA_1RG0LA_0LE1RZ}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RG0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LG_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RF_0LD1LB_1RD0LE_1RB1LE_1RG0RE_0RA0LE}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LD_0LC1RZ_1RA0RD_1RE1LD_1LF0RC_0LG1LE_1RC0LD}}<br />
|10 ↑↑ 192.67<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1LA_1LC0RE_0LD1LB_1RE1LG_1RF0LG_0RA0LA_0RF1RZ}}<br />
|10 ↑↑ 192.67<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1LA_1LC0RF_0LD0RD_1RF1LE_1LB1RZ_1RG0RA_0RA0LA}}<br />
|10 ↑↑ 192.67<br />
|@C7X<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_1LG1RE_1LD0RF_0RA1RE_1RZ0RA}}<br />
|10 ↑↑ 188.28<br />
|@XnoobSpeakable, @Peacemaker II<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_0RF0LF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LF0RF_0RA1RE_1RZ0RE}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|}<br />
<br />
The top 20 known halters with unique scores are:<br />
<br />
{| class="wikitable"<br />
!TM<br />
!Approximate sigma score<br />
!Discoverer<br />
|-<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
|Pavel Kropitz<br />
|-<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|@Iijil<br />
|-<br />
|{{TM|1RB0RB_1LC1RG_1RD1RC_1RE0RA_1LF0LB_1RF0LE_0RD1RZ}}<br />
|10 ↑↑ 228.78<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC0LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LC}}<br />
|10 ↑↑ 140.28<br />
|@stokastic<br />
|-<br />
|{{TM|1RB0LG_0RC1RZ_1LD0LA_1RE1LE_1LC1RF_0RE0RA_0RF1LG}}<br />
|10 ↑↑ 133.85<br />
|@poppuncher<br />
|-<br />
|{{TM|1RB1RZ_1RC0RF_1LD1RB_1RG0LE_1LD0RA_1RE0LD_0RC1LF}}<br />
|10 ↑↑ 129.24<br />
|@Iijil<br />
|-<br />
|{{TM|1RB0LC_1RC0RG_1RD0LF_1RE0RF_1LA1RG_1LE1LF_1RZ1RD}}<br />
|10 ↑↑ 126.20<br />
|@stokastic<br />
|-<br />
|{{TM|1RB0LD_1RC1RA_0RD1RG_1LE1LF_0LF1LE_0RA0LD_0RA1RZ}}<br />
|10 ↑↑ 124.86<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1LF_1RC1RA_1LD0LD_1LA1LE_0LA0LD_1LG0RF_0LE1RZ}}<br />
|10 ↑↑ 116.98<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0RD_1RC0LA_0LA0LE_1RE1RZ_1RF0RA_1LG0LE_1LC0LG}}<br />
|10 ↑↑ 116.05<br />
|<br />
|-<br />
|{{TM|1RB0RD_1RC0RA_0RD1LD_0LE1LF_1LA0LG_0LC1LB_1LC1RZ}}<br />
|10 ↑↑ 115.52<br />
|@prurq<br />
|-<br />
|{{TM|1RB0RG_1LC0LE_1LD0LB_0LE1RE_0RA1RF_0RD1RC_1RD1RZ}}<br />
|10 ↑↑ 114.83<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RE_1LC0LA_1LD0LC_0LE0LA_1RF0RG_1RD0LE_1RA1RZ}}<br />
|10 ↑↑ 114.60<br />
|Shawn Ligocki<br />
|-<br />
|{{TM|1RB0RE_0RC1LC_0LD1LF_1LE0LG_1RA0RC_0LB1LA_1LB1RZ}}<br />
|10 ↑↑ 114.57<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RC_1LC1LD_1RA0RD_0LF1LE_0LB1LA_0RE0LG_1LB1RZ}}<br />
|10 ↑↑ 114.37<br />
|@C7X<br />
|-<br />
|<code>1RB0RG_1LC0LE_1LD0LB_1RB1RE_0RA1RF_0RD1RC_1RD1RZ</code> (bbch)<br />
|10 ↑↑ 113.38<br />
|Terry Ligocki<br />
|}<br />
<br />
== Current Progress ==<br />
This is a summary of the 1 million subtasks from mxdys's code that have been processed, including further processing by Shawn Ligocki's linear rule code ("TBD" = "To Be Determined", "TBE" = "To Be Entered"):<br />
{| class="wikitable defaultleft"<br />
!rowspan="2"|Task range<br />
!rowspan="2"|Done by<br />
!colspan="2"|Completed<br />
!rowspan="2"|# holdouts<br />
!rowspan="2"|Maximum Score TM<br />
!rowspan="2"|~Sigma<br />
!rowspan="2"|Source<br />
|-<br />
!enumeration<br />
!linear rule<br />
|-<br />
|00xxxx<br />
|rowspan="10"|@Iijil<br />
|Yes<br />
|Yes<br />
|728,495<br />
|{{TM|1RB0RF_1RC1LF_0RD0RD_1LE0LB_1RA1RZ_1LG1RA_1LD0RC}}<br />
|10 ↑↑ 45.64<br />
|rowspan="10"|[https://drive.google.com/drive/folders/1wniwrAuvsHfkvro8Tg65WAMNZEuIekzD Google Drive folder]<br />
|-<br />
|01xxxx<br />
|Yes<br />
|Yes<br />
|817,178<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|-<br />
|02xxxx<br />
|Yes<br />
|No<br />
|963,486<br />
|TBD<br />
|TBD<br />
|-<br />
|03xxxx<br />
|Yes<br />
|No<br />
|1,052,504<br />
|TBD<br />
|TBD<br />
|-<br />
|04xxxx<br />
|Yes<br />
|No<br />
|955,711<br />
|TBD<br />
|TBD<br />
|-<br />
|05xxxx<br />
|Yes<br />
|No<br />
|1,056,745<br />
|TBD<br />
|TBD<br />
|-<br />
|06xxxx<br />
|Yes<br />
|No<br />
|950,271<br />
|TBD<br />
|TBD<br />
|-<br />
|07xxxx<br />
|Yes<br />
|No<br />
|1,053,750<br />
|TBD<br />
|TBD<br />
|-<br />
|08xxxx<br />
|Yes<br />
|No<br />
|951,114<br />
|TBD<br />
|TBD<br />
|-<br />
|09xxxx<br />
|Yes<br />
|No<br />
|1,052,362<br />
|TBD<br />
|TBD<br />
|-<br />
|10xxxx<br />
| rowspan="3" |Andrew Ducharme<br />
|Yes<br />
|Yes<br />
|802,059<br />
|{{TM|1RB0LG_1RC0RA_1LD0LE_1LG1LC_1LF0RB_0LC0RC_1LA1RZ}}<br />
|10 ↑↑ 40.79<br />
| rowspan="3" |[https://drive.google.com/drive/folders/16uDjgOahkhAMWv3v-YWmxJG7xxsBvj4h?usp=sharing Google Drive folder]<br />
|-<br />
|11xxxx<br />
|Yes<br />
|Yes<br />
|1,105,947<br />
|{{TM|1RB0RG_1LC0LE_1LD0LB_0LE1RE_0RA1RF_0RD1RC_1RD1RZ}}<br />
|10 ↑↑ 114.83<br />
|-<br />
|12xxxx<br />
|Yes<br />
|Yes<br />
|800,882<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LE_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|-<br />
|13xxxx<br />
|Shawn Ligocki<br />
|Yes<br />
|Yes<br />
|1,192,442<br />
|{{TM|1RB0RE_1LC0LA_1LD0LC_0LE0LA_1RF0RG_1RD0LE_1RA1RZ}}<br />
|10 ↑↑ 114.60<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|14xxxx<br />
| rowspan="2" |Andrew Ducharme<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
| rowspan="2" |[https://drive.google.com/drive/folders/16uDjgOahkhAMWv3v-YWmxJG7xxsBvj4h?usp=sharing Google Drive folder]<br />
|-<br />
|15xxxx<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|19xxxx<br />
|@isokate<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|<br />
|-<br />
|<br />
20xxxx<br />
| rowspan="2" | @C7X<br />
|Yes<br />
|Yes<br />
|728,510<br />
|{{TM|1RB1LA_1LC0RF_0LD0RD_1RF1LE_1LB1RZ_1RG0RA_0RA0LA}}<br />
|10↑↑192.67<br />
| rowspan="2" | [https://drive.google.com/drive/folders/11iGTKsvu2Y7aFrwOcWS1LYvcN6i_7-JM?usp=sharing Google Drive folder]<br />
|-<br />
|<br />
21xxxx -<br/><br />
23xxxx<br />
|Yes<br />
|No<br />
|3,065,946<br />
|TBD<br />
|TBD<br />
|-<br />
|24xxxx<br />
|Andrew Ducharme<br />
|Yes<br />
|Yes<br />
|712,356<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}*<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3^*</math><br />
|[https://drive.google.com/drive/folders/16uDjgOahkhAMWv3v-YWmxJG7xxsBvj4h?usp=sharing Google Drive folder]<br />
|-<br />
|25xxxx<br />
|rowspan="10"|@stokastic<br />
|Yes<br />
|Yes<br />
|815,919<br />
|{{TM|1RB1RZ_1LC0LE_0LD0LC_0RE1LB_1RF0RG_0LD1RB_1RD1RA}}<br />
|10 ↑↑ 31.33<br />
|rowspan="10"|[https://drive.google.com/drive/folders/16_qIdWWD-wolj6zURB5ZSbY-otI4zoUF?usp=sharing Google Drive folder] <br />
|-<br />
|26xxxx<br />
|Yes<br />
|Yes<br />
|731,995<br />
|{{TM|1RB1RZ_0LC1RB_0LE0LD_1LE1LD_0RF0LC_0RG1RF_1RD0RA}}<br />
|10 ↑↑ 36.26<br />
|-<br />
|27xxxx<br />
|Yes<br />
|Yes<br />
|811,486<br />
|{{TM|1RB0RG_1LC1LB_0RE0LD_0LC1RF_0RA1RE_0LF0LB_1RF1RZ}}<br />
|10 ↑↑ 63.56<br />
|-<br />
|28xxxx<br />
|Yes<br />
|Yes<br />
|956,935<br />
|{{TM|1RB1RZ_0LC1RC_0RE1RD_0RB1RG_1RF0RA_1LG0LC_1LB0LF}}<br />
|10 ↑↑ 114.57<br />
|-<br />
|29xxxx<br />
|Yes<br />
|Yes<br />
|1,052,415<br />
|{{TM|1RB1LA_1RC1RD_0LA1LG_1RZ0LE_1RB1RF_1RE0LC_0RE1LF}}<br />
|10 ↑↑ 31.67<br />
|-<br />
|30xxxx<br />
|Yes<br />
|Yes<br />
|1,032,095<br />
|{{TM|1RB0LC_1RC0RG_1RD0LF_1RE0RF_1LA1RG_1LE1LF_1RZ1RD}}<br />
|10 ↑↑ 126.20<br />
|-<br />
|31xxxx<br />
|Yes<br />
|Yes<br />
|1,436,970<br />
|{{TM|1RB1LD_1LC0RF_0RA0LB_0LE1RZ_1LA0LE_1RG1LA_0RC0RF}}<br />
|10 ↑↑ 50.27<br />
|-<br />
|32xxxx<br />
|Yes<br />
|Yes<br />
|1,036,950<br />
|{{TM|1RB1RD_1LC0RF_0LE0LD_1LE1LE_1RF0LB_1RB0RG_1RA1RZ}}<br />
|10 ↑↑ 50.28<br />
|-<br />
|33xxxx<br />
|Yes<br />
|Yes<br />
|1,432,081<br />
|{{TM|1RB0LC_1LC0LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LC}}<br />
|10 ↑↑ 140.28<br />
|-<br />
|34xxxx<br />
|Yes<br />
|Yes<br />
|1,032,970<br />
|{{TM|1RB0RA_1LC0LE_0LD0LB_1RE0RD_0RA0LF_1RD1RG_0RF1RZ}}<br />
|10 ↑↑ 72.69<br />
|-<br />
|<br />
35xxxx -<br/><br />
39xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|4,894,047<br />
|{{TM|1RB1RZ_1LC0RF_0LD1LB_1RD0LE_1RB1LE_1RG0RE_0RA0LE}}<br />
|10 ↑↑ 192.67<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|40xxxx<br />
| rowspan="8" |Andrew Ducharme<br />
|Yes<br />
|Yes<br />
|730,310<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
| rowspan="8" |[https://drive.google.com/drive/folders/16uDjgOahkhAMWv3v-YWmxJG7xxsBvj4h?usp=sharing Google Drive folder]<br />
|-<br />
|41xxxx<br />
|Yes<br />
|Yes<br />
|814,075<br />
|{{TM|1RB0LD_0LC1RZ_1RA0RD_1RE1LD_1LF0RC_0LG1LE_1RC0LD}}<br />
|10 ↑↑ 192.67<br />
|-<br />
|42xxxx<br />
|Yes<br />
|Yes<br />
|739,729<br />
|{{TM|1RB1LD_0RC1RF_1LD0LE_0LE0LA_1LA1LE_1RG0LA_1RZ1RA}}<br />
|10 ↑↑ 46.26<br />
|-<br />
|43xxxx<br />
|Yes<br />
|Yes<br />
|817,332<br />
|{{TM|1RB0LE_1RC1RA_1RD0RG_1LA1RZ_1RA1LF_1LA0LE_0RF1RG}}<br />
|10 ↑↑ 93.81<br />
|-<br />
|44xxxx<br />
|Yes<br />
|Yes<br />
|729,686<br />
|{{TM|1RB1LC_1RC0RC_1RD1LA_0RE1RF_1LC0LG_1LA1LE_1RZ1LF}}<br />
|10 ↑↑ 76.36<br />
|-<br />
|45xxxx<br />
|Yes<br />
|Yes<br />
|812,973<br />
|{{TM|1RB0RE_0RC1LC_0LD1LF_1LE0LG_1RA0RC_0LB1LA_1LB1RZ}}<br />
|10 ↑↑ 114.57<br />
|-<br />
|46xxxx<br />
|Yes<br />
|Yes<br />
|725,102<br />
|{{TM|1RB1RA_0LC0RE_0LD1LC_1LA0LF_0RB0RA_1LG1RZ_0RE1LG}}<br />
|10 ↑↑ 36.26<br />
|-<br />
|47xxxx<br />
|Yes<br />
|Yes<br />
|812120<br />
|{{TM|1RB1LA_1LC0RE_0LD1LB_1RE1LG_1RF0LG_0RA0LA_0RF1RZ}}<br />
|10 ↑↑ 192.67<br />
|-<br />
|48xxxx<br />
| rowspan="2" |Tobiáš Brichta<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
| rowspan="2" |[https://drive.google.com/drive/folders/1-csgJ5uSIX3SKlqTkSnhkUuEYLKgCw81 Google Drive folder]<br />
|-<br />
|49xxxx<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|500xxx<br />
|rowspan="2"|@prurq<br />
|Yes<br />
|Yes<br />
|120,520<br />
|{{TM|1RB0RD_1RC0RA_0RD1LD_0LE1LF_1LA0LG_0LC1LB_1LC1RZ}}<br />
|10 ↑↑ 115.52<br />
|rowspan="2"|[https://drive.google.com/drive/folders/145H4sT4F9KJYGSrlIETZdBOIMR7krLQm Google Drive folder]<br />
|-<br />
|501xxx<br />
|Yes<br />
|No<br />
|96,102<br />
|TBD<br />
|TBD<br />
|-<br />
|51xxxx<br />
|@gerbil5709<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|[https://drive.google.com/drive/folders/1kAvBebeF09CEVocCk5bGKlDJfRN8co_i?usp=sharing Google Drive folder]<br />
|-<br />
|58xxxx<br />
|Terry Ligocki<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|59xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|1,094,678<br />
|{{TM|1RB0LF_0LC0RA_1LA1RD_0RE1RZ_1RC0RE_1LG1RC_0LB1RA}}<br />
|10 ↑↑ 124.12<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|60xxxx<br />
| rowspan="5" |@gerbil5709<br />
|Yes<br />
|No<br />
|957,769<br />
|TBD<br />
|TBD<br />
| rowspan="5" |[https://drive.google.com/drive/folders/1kAvBebeF09CEVocCk5bGKlDJfRN8co_i?usp=sharing Google Drive folder]<br />
|-<br />
|61xxxx<br />
|Yes<br />
|No<br />
|1,052,047<br />
|TBD<br />
|TBD<br />
|-<br />
|62xxxx<br />
|Yes<br />
|No<br />
|959,753 <br />
|TBD<br />
|TBD<br />
|-<br />
|63xxxx<br />
|Yes<br />
|No<br />
|1,051,882<br />
|TBD<br />
|TBD<br />
|-<br />
|64xxxx<br />
|Yes<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|<br />
65xxxx -<br/><br />
68xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|3,076,778<br />
|{{TM|1RB0LD_0LC1RZ_1RA0RD_1RE1LD_1LF0RC_0LG1LE_1RG0LD}}<br />
|10 ↑↑ 192.67<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|69xxxx<br />
|@poppuncher<br />
|Yes<br />
|Yes<br />
|1,053,119<br />
|{{TM|1RB0LG_0RC1RZ_1LD0LA_1RE1LE_1LC1RF_0RE0RA_0RF1LG}}<br />
|10 ↑↑ 133.85<br />
|[https://drive.google.com/drive/folders/1KlCZqXxqVPuBPkDcCBocuMPA8paq9b8P?usp=drive_link Google Drive folder]<br />
|-<br />
|70xxxx<br />
|@hipparcos<br />
|Yes<br />
|Yes<br />
|798,304<br />
|{{TM|1RB0LF_1RC1LE_0RD1RA_1RE1RG_0LA1LB_1LE1RG_0RC1RZ}}<br />
|10 ↑↑ 33.81<br />
|[https://github.com/jhuang97/bb7x2/releases/tag/70xxxx Github release]<br />
|-<br />
|71xxxx<br />
|@hipparcos<br />
|Yes<br />
|Yes<br />
|1,100,790<br />
|{{TM|1RB1RZ_1LC1RD_0LD0LC_1LE1RA_1LF0LE_1RF0RG_1RG0RD}}<br />
|10 ↑↑ 77.50<br />
|[https://github.com/jhuang97/bb7x2/releases/tag/71xxxx Github release]<br />
|-<br />
|<br />
72xxxx -<br/><br />
79xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|7,627,514<br />
|{{TM|1RB0RB_1LC1RG_1RD1RC_1RE0RA_1LF0LB_1RF0LE_0RD1RZ}}<br />
|10 ↑↑ 228.78<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|80xxxx<br />
|@xnoobspeakable<br />
|Yes<br />
|No<br />
|964,396<br />
|TBD<br />
|TBD<br />
| rowspan="2" |[https://drive.google.com/drive/folders/1TpuEC7KottEmvsFnCREugnlVMPaY5ZHi?usp=sharing Google Drive folder]<br />
|-<br />
|81xxxx<br />
|@xnoobspeakable<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|<br />
82xxxx -<br/><br />
99xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|15,673,786<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|}<br />
<nowiki>*</nowiki>The current BB(7) champion TM {{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}* was discovered by Pavel Kropitz in the enumeration of subtask 243308. The remaining subtasks in the 24xxxx range were enumerated and filtered by Andrew Ducharme.<br />
[[Category:BB Domain]]</div>
Gerbil
https://wiki.bbchallenge.org/w/index.php?title=BB(7)&diff=2182
BB(7)
2025-06-11T16:37:10Z
<p>Gerbil: /* Current Progress */</p>
<hr />
<div>The 7-state, 2-symbol Busy Beaver problem '''BB(7)''' is a mostly unexplored domain with only preliminary information.<br />
<br />
The current BB(7) champion is {{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}} discovered by Pavel Kropitz in 2025 proving the lower bound:<math display="block">S(7) > \Sigma(7) > 2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
<br />
== History ==<br />
Before 2025, the only known BB(7) champions were produced by hand, not by search. Example, Milton Green designed a machine in 1964 that had [[sigma score]] 22,961 and Wythagoras modified a BB(6) champion in 2014 to produce a machine that had sigma score <math>> 10 \uparrow\uparrow 5</math>.<br />
<br />
In May 2025, mxdys shared [https://github.com/ccz181078/TM C++ code] that breaks up the BB(7) enumeration into 1 million subtasks which each run for about 2 minutes and leave ~100 holdouts each. Various folks on Discord have been investigating different sections of this domain to search for champions.<br />
<br />
Within three days of the code's release, the Ligockis found three champions after applying their deciders to enumerator output. Shawn Ligocki found the first two, {{TM|1RB0RF_1LC0RE_1RD1LB_1LA1LD_0RA0LE_1RG0LB_1RZ1RB}} and {{TM|1RB1RA_1RC0LC_0LD1LG_1LF0LE_1RZ1LF_0LA1LD_1RA1LC}}, with sigma scores of approximately 10 ↑↑ 22 and 10 ↑↑ 35. That evening, Terry Ligocki found {{TM|1RB0LG_1RC0RF_1LD1RZ_1LF0LE_1RA1LD_1LG1RE_0LB0LB}}, with sigma score ~10 ↑↑ 46. These were all outpaced by Pavel's champion.<br />
<br />
== Top Halters ==<br />
Based on limited search through a subset of the 1 million subtasks from mxdys's code, the top 20 scoring known machines are:<br />
{| class="wikitable"<br />
!#<br />
!TM<br />
!Approximate sigma score<br />
!Discoverer<br />
|-<br />
|1<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
|Pavel Kropitz<br />
|-<br />
|2<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|Andrew Ducharme<br />
|-<br />
|3<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|Terry Ligocki<br />
|-<br />
|4<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|@Iijil<br />
|-<br />
|5<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|6<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LG_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|7<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RG0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|8<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|9<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LF0RF_0RA1RE_1RZ0RE}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|10<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LF0RF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|11<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_1LG1RE_1LF0RF_0RA1RE_1RZ0RA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|12<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_1LG1RE_1LD0RF_0RA1RE_1RZ0RA}}<br />
|10 ↑↑ 188.28<br />
|@XnoobSpeakable, @Peacemaker II<br />
|-<br />
|13<br />
|{{TM|1RB0LG_0RC1RZ_1LD0LA_1RE1LE_1LC1RF_0RE0RA_0RF1LG}}<br />
|10 ↑↑ 133.85<br />
|@poppuncher<br />
|-<br />
|14<br />
|{{TM|1RB1RZ_1RC0RF_1LD1RB_1RG0LE_1LD0RA_1RE0LD_0RC1LF}}<br />
|10 ↑↑ 129.24<br />
|@Iijil<br />
|-<br />
|15<br />
|{{TM|1RB0LC_1RC0RG_1RD0LF_1RE0RF_1LA1RG_1LE1LF_1RZ1RD}}<br />
|10 ↑↑ 126.20<br />
|@stokastic<br />
|-<br />
|16<br />
|{{TM|1RB1LF_1RC1RA_1LD0LD_1LA1LE_0LA0LD_1LG0RF_0LE1RZ}}<br />
|10 ↑↑ 116.97<br />
|Terry Ligocki<br />
|-<br />
|17<br />
|{{TM|1RB0RD_1RC0LA_0LA0LE_1RE1RZ_1RF0RA_1LG0LE_1LC0LG}}<br />
|10 ↑↑ 116.05<br />
|<br />
|-<br />
|18<br />
|{{TM|1RB0RD_1RC0RA_0RD1LD_0LE1LF_1LA0LG_0LC1LB_1LC1RZ}}<br />
|10 ↑↑ 115.52<br />
|@prurq<br />
|-<br />
|19<br />
|{{TM|1RB0RF_1RC0RB_0RD0RF_1LE0LG_1LC0RD_1LA0LD_1LF1RZ}}<br />
|10 ↑↑ 114.61<br />
|Andrew Ducharme<br />
|-<br />
|20<br />
|{{TM|1RB0RE_1LC0LA_1LD0LC_0LE0LA_1RF0RG_1RD0LE_1RA1RZ}}<br />
|10 ↑↑ 114.60<br />
|Shawn Ligocki<br />
|}<br />
The top 20 known halters with unique scores are:<br />
{| class="wikitable"<br />
!#<br />
!TM<br />
!Approximate sigma score<br />
!Discoverer<br />
|-<br />
|1<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
|Pavel Kropitz<br />
|-<br />
|2<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|Andrew Ducharme<br />
|-<br />
|3<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|Terry Ligocki<br />
|-<br />
|4<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|@Iijil<br />
|-<br />
|5<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|6<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|7<br />
|{{TM|1RB0LG_0RC1RZ_1LD0LA_1RE1LE_1LC1RF_0RE0RA_0RF1LG}}<br />
|10 ↑↑ 133.85<br />
|@poppuncher<br />
|-<br />
|8<br />
|{{TM|1RB1RZ_1RC0RF_1LD1RB_1RG0LE_1LD0RA_1RE0LD_0RC1LF}}<br />
|10 ↑↑ 129.24<br />
|@Iijil<br />
|-<br />
|9<br />
|{{TM|1RB0LC_1RC0RG_1RD0LF_1RE0RF_1LA1RG_1LE1LF_1RZ1RD}}<br />
|10 ↑↑ 126.20<br />
|@stokastic<br />
|-<br />
|10<br />
|{{TM|1RB1LF_1RC1RA_1LD0LD_1LA1LE_0LA0LD_1LG0RF_0LE1RZ}}<br />
|10 ↑↑ 116.97<br />
|Terry Ligocki<br />
|-<br />
|11<br />
|{{TM|1RB0RD_1RC0LA_0LA0LE_1RE1RZ_1RF0RA_1LG0LE_1LC0LG}}<br />
|10 ↑↑ 116.05<br />
|<br />
|-<br />
|12<br />
|{{TM|1RB0RD_1RC0RA_0RD1LD_0LE1LF_1LA0LG_0LC1LB_1LC1RZ}}<br />
|10 ↑↑ 115.52<br />
|@prurq<br />
|-<br />
|13<br />
|{{TM|1RB0RF_1RC0RB_0RD0RF_1LE0LG_1LC0RD_1LA0LD_1LF1RZ}}<br />
|10 ↑↑ 114.61<br />
|Andrew Ducharme<br />
|-<br />
|14<br />
|{{TM|1RB0RE_1LC0LA_1LD0LC_0LE0LA_1RF0RG_1RD0LE_1RA1RZ}}<br />
|10 ↑↑ 114.60<br />
|Shawn Ligocki<br />
|-<br />
|15<br />
|{{TM|1RB0RE_0RC1LC_0LD1LF_1LE0LG_1RA0RC_0LB1LA_1LB1RZ}}<br />
|10 ↑↑ 114.57<br />
|Andrew Ducharme<br />
|-<br />
|16<br />
|{{TM|1RB0RG_1LC0LE_1LD0LB_1RB1RE_0RA1RF_0RD1RC_1RD1RZ}}<br />
|10 ↑↑ 113.37<br />
|Terry Ligocki<br />
|-<br />
|17<br />
|{{TM|1RB1RZ_1RC1RA_1RD0RB_1LE0RC_1LF0LD_1RG0LF_1RC0LG}}<br />
|10 ↑↑ 108.77<br />
|Terry Ligocki<br />
|-<br />
|18<br />
|{{TM|1RB0LE_1RC1RA_1RD0RG_1LA1RZ_1RA1LF_1LA0LE_0RF1RG}}<br />
|10 ↑↑ 93.81<br />
|Andrew Ducharme<br />
|-<br />
|19<br />
|{{TM|1RB0RF_1LC0LD_1RC0LB_1LE1RG_1RA1RE_1RD0RD_0RA1RZ}}<br />
|10 ↑↑ 93.78<br />
|Terry Ligocki<br />
|-<br />
|20<br />
|{{TM|1RB1LB_1LC1RE_1RD1RC_0RE0RD_1LF0RB_1LF1LG_1RZ0LA}}<br />
|10 ↑↑ 86.40<br />
|Terry Ligocki<br />
|}<br />
<br />
== Current Progress ==<br />
This is a summary of the 1 million subtasks from mxdys's code that have been processed, including further processing by Shawn Ligocki's linear rule code ("TBD" = "To Be Determined", "TBE" = "To Be Entered"):<br />
{| class="wikitable defaultleft"<br />
!rowspan="2"|Task range<br />
!rowspan="2"|Done by<br />
!colspan="2"|Completed<br />
!rowspan="2"|# holdouts<br />
!rowspan="2"|Maximum Score TM<br />
!rowspan="2"|~Sigma<br />
!rowspan="2"|Source<br />
|-<br />
!enumeration<br />
!linear rule<br />
|-<br />
|00xxxx<br />
|rowspan="10"|@Iijil<br />
|Yes<br />
|Yes<br />
|728,495<br />
|{{TM|1RB0RF_1RC1LF_0RD0RD_1LE0LB_1RA1RZ_1LG1RA_1LD0RC}}<br />
|10 ↑↑ 45.64<br />
|rowspan="10"|[https://drive.google.com/drive/folders/1wniwrAuvsHfkvro8Tg65WAMNZEuIekzD Google Drive folder]<br />
|-<br />
|01xxxx<br />
|Yes<br />
|Yes<br />
|817,178<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|-<br />
|02xxxx<br />
|Yes<br />
|No<br />
|963,486<br />
|TBD<br />
|TBD<br />
|-<br />
|03xxxx<br />
|Yes<br />
|No<br />
|1,052,504<br />
|TBD<br />
|TBD<br />
|-<br />
|04xxxx<br />
|Yes<br />
|No<br />
|955,711<br />
|TBD<br />
|TBD<br />
|-<br />
|05xxxx<br />
|Yes<br />
|No<br />
|1,056,745<br />
|TBD<br />
|TBD<br />
|-<br />
|06xxxx<br />
|Yes<br />
|No<br />
|950,271<br />
|TBD<br />
|TBD<br />
|-<br />
|07xxxx<br />
|Yes<br />
|No<br />
|1,053,750<br />
|TBD<br />
|TBD<br />
|-<br />
|08xxxx<br />
|Yes<br />
|No<br />
|951,114<br />
|TBD<br />
|TBD<br />
|-<br />
|09xxxx<br />
|Yes<br />
|No<br />
|1,052,362<br />
|TBD<br />
|TBD<br />
|-<br />
|13xxxx<br />
|Shawn Ligocki<br />
|Yes<br />
|Yes<br />
|1,192,442<br />
|{{TM|1RB0RE_1LC0LA_1LD0LC_0LE0LA_1RF0RG_1RD0LE_1RA1RZ}}<br />
|10 ↑↑ 114.60<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|<br />
20xxxx -<br/><br />
21xxxx<br />
|@C7X<br />
|Yes<br />
|No<br />
|2,013,389<br />
|TBD<br />
|TBD<br />
|[https://drive.google.com/drive/folders/11iGTKsvu2Y7aFrwOcWS1LYvcN6i_7-JM?usp=sharing Google Drive folder]<br />
|-<br />
|243308<br />
|@uni<br />
|Yes<br />
|No<br />
|TBE<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
|[https://discord.com/channels/960643023006490684/1369339127652159509/1373660959960469545 Discord post]<br />
|-<br />
|25xxxx<br />
|rowspan="10"|@stokastic<br />
|Yes<br />
|Yes<br />
|815,919<br />
|{{TM|1RB1RZ_1LC0LE_0LD0LC_0RE1LB_1RF0RG_0LD1RB_1RD1RA}}<br />
|10 ↑↑ 31.33<br />
|rowspan="10"|[https://drive.google.com/drive/folders/16_qIdWWD-wolj6zURB5ZSbY-otI4zoUF?usp=sharing Google Drive folder] <br />
|-<br />
|26xxxx<br />
|Yes<br />
|Yes<br />
|731,995<br />
|{{TM|1RB1RZ_0LC1RB_0LE0LD_1LE1LD_0RF0LC_0RG1RF_1RD0RA}}<br />
|10 ↑↑ 36.26<br />
|-<br />
|27xxxx<br />
|Yes<br />
|Yes<br />
|811,486<br />
|{{TM|1RB0RG_1LC1LB_0RE0LD_0LC1RF_0RA1RE_0LF0LB_1RF1RZ}}<br />
|10 ↑↑ 63.56<br />
|-<br />
|28xxxx<br />
|Yes<br />
|Yes<br />
|956,935<br />
|{{TM|1RB1RZ_0LC1RC_0RE1RD_0RB1RG_1RF0RA_1LG0LC_1LB0LF}}<br />
|10 ↑↑ 114.57<br />
|-<br />
|29xxxx<br />
|Yes<br />
|Yes<br />
|1,052,415<br />
|{{TM|1RB1LA_1RC1RD_0LA1LG_1RZ0LE_1RB1RF_1RE0LC_0RE1LF}}<br />
|10 ↑↑ 31.67<br />
|-<br />
|30xxxx<br />
|Yes<br />
|Yes<br />
|1,032,095<br />
|{{TM|1RB0LC_1RC0RG_1RD0LF_1RE0RF_1LA1RG_1LE1LF_1RZ1RD}}<br />
|10 ↑↑ 126.20<br />
|-<br />
|31xxxx<br />
|Yes<br />
|Yes<br />
|1,436,970<br />
|{{TM|1RB1LD_1LC0RF_0RA0LB_0LE1RZ_1LA0LE_1RG1LA_0RC0RF}}<br />
|10↑↑50.27<br />
|-<br />
|32xxxx<br />
|Yes<br />
|No<br />
|1,036,950<br />
|TBD<br />
|TBD<br />
|-<br />
|33xxxx<br />
|Yes<br />
|No<br />
|1,432,081<br />
|TBD<br />
|TBD<br />
|-<br />
|34xxxx<br />
|Yes<br />
|No<br />
|1,032,970<br />
|TBD<br />
|TBD<br />
|-<br />
|<br />
35xxxx -<br/><br />
39xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|4,894,047<br />
|{{TM|1RB1RZ_1LC0RF_0LD1LB_1RD0LE_1RB1LE_1RG0RE_0RA0LE}}<br />
|10 ↑↑ 192.67<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|40xxxx<br />
| rowspan="6" |Andrew Ducharme<br />
|Yes<br />
|Yes<br />
|730,310<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
| rowspan="6" |[https://drive.google.com/drive/folders/16uDjgOahkhAMWv3v-YWmxJG7xxsBvj4h?usp=sharing Google Drive folder]<br />
|-<br />
|41xxxx<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|42xxxx<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|43xxxx<br />
|Yes<br />
|Yes<br />
|817,332<br />
|{{TM|1RB0LE_1RC1RA_1RD0RG_1LA1RZ_1RA1LF_1LA0LE_0RF1RG}}<br />
|10 ↑↑ 93.81<br />
|-<br />
|44xxxx<br />
|Yes<br />
|Yes<br />
|729,686<br />
|{{TM|1RB1LC_1RC0RC_1RD1LA_0RE1RF_1LC0LG_1LA1LE_1RZ1LF}}<br />
|10 ↑↑ 76.36<br />
|-<br />
|45xxxx<br />
|Yes<br />
|Yes<br />
|812,973<br />
|{{TM|1RB0RE_0RC1LC_0LD1LF_1LE0LG_1RA0RC_0LB1LA_1LB1RZ}}<br />
|10 ↑↑ 114.57<br />
|-<br />
|49xxxx<br />
|Tobiáš Brichta<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|[https://drive.google.com/drive/folders/1-csgJ5uSIX3SKlqTkSnhkUuEYLKgCw81 Google Drive folder]<br />
|-<br />
|500xxx<br />
|rowspan="2"|@prurq<br />
|Yes<br />
|Yes<br />
|120,520<br />
|{{TM|1RB0RD_1RC0RA_0RD1LD_0LE1LF_1LA0LG_0LC1LB_1LC1RZ}}<br />
|10 ↑↑ 115.52<br />
|rowspan="2"|[https://drive.google.com/drive/folders/145H4sT4F9KJYGSrlIETZdBOIMR7krLQm Google Drive folder]<br />
|-<br />
|501xxx<br />
|Yes<br />
|No<br />
|96,102<br />
|TBD<br />
|TBD<br />
|-<br />
|60xxxx<br />
| rowspan="5" |@gerbil5709<br />
|Yes<br />
|No<br />
|957,769<br />
|TBD<br />
|TBD<br />
| rowspan="5" |[https://drive.google.com/drive/folders/1kAvBebeF09CEVocCk5bGKlDJfRN8co_i?usp=sharing Google Drive folder]<br />
|-<br />
|61xxxx<br />
|Yes<br />
|No<br />
|1,052,047<br />
|TBD<br />
|TBD<br />
|-<br />
|62xxxx<br />
|Yes<br />
|No<br />
|959,753 <br />
|TBD<br />
|TBD<br />
|-<br />
|63xxxx<br />
|Yes<br />
|No<br />
|1,051,882<br />
|TBD<br />
|TBD<br />
|-<br />
|64xxxx<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|66xxxx<br />
|rowspan="3"|Terry Ligocki<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|rowspan="3"|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|67xxxx<br />
|Yes<br />
|Yes<br />
|814,028<br />
|{{TM|1RB0LE_0RC0RG_1LD1LC_1LA1RG_0RF0LC_1RD0RC_1RZ1RF}}<br />
|10 ↑↑ 47.06<br />
|-<br />
|68xxxx<br />
|Yes<br />
|Yes<br />
|730,792<br />
|{{TM|1RB0LD_0LC1RZ_1RA0RD_1RE1LD_1LF0RC_0LG1LE_1RG0LD}}<br />
|10 ↑↑ 192.67<br />
|-<br />
|69xxxx<br />
|@poppuncher<br />
|Yes<br />
|Yes<br />
|1,053,119<br />
|{{TM|1RB0LG_0RC1RZ_1LD0LA_1RE1LE_1LC1RF_0RE0RA_0RF1LG}}<br />
|10 ↑↑ 133.85<br />
|[https://drive.google.com/drive/folders/1KlCZqXxqVPuBPkDcCBocuMPA8paq9b8P?usp=drive_link Google Drive folder]<br />
|-<br />
|70xxxx<br />
|@hipparcos<br />
|Yes<br />
|Yes<br />
|798,304<br />
|<br />
{{TM|1RB0LF_1RC1LE_0RD1RA_1RE1RG_0LA1LB_1LE1RG_0RC1RZ}}<br/><br />
{{TM|1RB0LF_1LC1LE_1RE0LD_0LC0LA_1LB1RA_0LG0RC_1RZ0LA}}<br />
|<br />
10 ↑↑ 33.81<br/><br />
10 ↑↑ 26.63<br />
|[https://github.com/jhuang97/bb7x2/releases/tag/70xxxx Github release]<br />
|-<br />
|71xxxx<br />
|@hipparcos<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|<br />
|-<br />
|75xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|1,103,089<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_0RF0LF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|80xxxx<br />
|@xnoobspeakable<br />
|Yes<br />
|No<br />
|964,396<br />
|TBD<br />
|TBD<br />
| rowspan="2" |[https://drive.google.com/drive/folders/1TpuEC7KottEmvsFnCREugnlVMPaY5ZHi?usp=sharing Google Drive folder]<br />
|-<br />
|81xxxx<br />
|@xnoobspeakable<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|<br />
85xxxx -<br/><br />
9xxxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|13,396,923<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|}<br />
[[Category:BB Domain]]</div>
Gerbil
https://wiki.bbchallenge.org/w/index.php?title=BB(7)&diff=2171
BB(7)
2025-06-10T15:42:34Z
<p>Gerbil: /* Current Progress */</p>
<hr />
<div>The 7-state, 2-symbol Busy Beaver problem '''BB(7)''' is a mostly unexplored domain with only preliminary information.<br />
<br />
The current BB(7) champion is {{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}} discovered by Pavel Kropitz in 2025 proving the lower bound:<math display="block">S(7) > \Sigma(7) > 2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
<br />
== History ==<br />
Before 2025, the only known BB(7) champions were produced by hand, not by search. Example, Milton Green designed a machine in 1964 that had [[sigma score]] 22,961 and Wythagoras modified a BB(6) champion in 2014 to produce a machine that had sigma score <math>> 10 \uparrow\uparrow 5</math>.<br />
<br />
In May 2025, mxdys shared [https://github.com/ccz181078/TM C++ code] that breaks up the BB(7) enumeration into 1 million subtasks which each run for about 2 minutes and leave ~100 holdouts each. Various folks on Discord have been investigating different sections of this domain to search for champions.<br />
<br />
Within three days of the code's release, the Ligockis found three champions after applying their deciders to enumerator output. Shawn Ligocki found the first two, {{TM|1RB0RF_1LC0RE_1RD1LB_1LA1LD_0RA0LE_1RG0LB_1RZ1RB}} and {{TM|1RB1RA_1RC0LC_0LD1LG_1LF0LE_1RZ1LF_0LA1LD_1RA1LC}}, with sigma scores of approximately 10 ↑↑ 22 and 10 ↑↑ 35. That evening, Terry Ligocki found {{TM|1RB0LG_1RC0RF_1LD1RZ_1LF0LE_1RA1LD_1LG1RE_0LB0LB}}, with sigma score ~10 ↑↑ 46. These were all outpaced by Pavel's champion.<br />
<br />
== Top Halters ==<br />
Based on limited search through a subset of the 1 million subtasks from mxdys's code, the top 20 scoring known machines are:<br />
{| class="wikitable"<br />
!TM<br />
!Approximate sigma score<br />
!Discoverer<br />
|-<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
|Pavel Kropitz<br />
|-<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|@Iijil<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LG_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RG0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LF0RF_0RA1RE_1RZ0RE}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LF0RF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_1LG1RE_1LF0RF_0RA1RE_1RZ0RA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_1LG1RE_1LD0RF_0RA1RE_1RZ0RA}}<br />
|10 ↑↑ 188.28<br />
|@XnoobSpeakable, @Peacemaker II<br />
|-<br />
|{{TM|1RB0LG_0RC1RZ_1LD0LA_1RE1LE_1LC1RF_0RE0RA_0RF1LG}}<br />
|10 ↑↑ 133.85<br />
|@poppuncher<br />
|-<br />
|{{TM|1RB1RZ_1RC0RF_1LD1RB_1RG0LE_1LD0RA_1RE0LD_0RC1LF}}<br />
|10 ↑↑ 129.24<br />
|@Iijil<br />
|-<br />
|{{TM|1RB0LC_1RC0RG_1RD0LF_1RE0RF_1LA1RG_1LE1LF_1RZ1RD}}<br />
|10 ↑↑ 126.20<br />
|@stokastic<br />
|-<br />
|{{TM|1RB1LF_1RC1RA_1LD0LD_1LA1LE_0LA0LD_1LG0RF_0LE1RZ}}<br />
|10 ↑↑ 116.97<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0RD_1RC0LA_0LA0LE_1RE1RZ_1RF0RA_1LG0LE_1LC0LG}}<br />
|10 ↑↑ 116.05<br />
|<br />
|-<br />
|{{TM|1RB0RD_1RC0RA_0RD1LD_0LE1LF_1LA0LG_0LC1LB_1LC1RZ}}<br />
|10 ↑↑ 115.52<br />
|@prurq<br />
|-<br />
|{{TM|1RB0RF_1RC0RB_0RD0RF_1LE0LG_1LC0RD_1LA0LD_1LF1RZ}}<br />
|10 ↑↑ 114.61<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RE_1LC0LA_1LD0LC_0LE0LA_1RF0RG_1RD0LE_1RA1RZ}}<br />
|10 ↑↑ 114.60<br />
|Shawn Ligocki<br />
|-<br />
|{{TM|1RB0RE_0RC1LC_0LD1LF_1LE0LG_1RA0RC_0LB1LA_1LB1RZ}}<br />
|10 ↑↑ 114.57<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RG_1LC0LE_1LD0LB_1RB1RE_0RA1RF_0RD1RC_1RD1RZ}}<br />
|10 ↑↑ 113.37<br />
|Terry Ligocki<br />
|}<br />
The top 20 known halters with unique scores are:<br />
{| class="wikitable"<br />
!TM<br />
!Approximate sigma score<br />
!Discoverer<br />
|-<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
|Pavel Kropitz<br />
|-<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|@Iijil<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LG_0RC1RZ_1LD0LA_1RE1LE_1LC1RF_0RE0RA_0RF1LG}}<br />
|10 ↑↑ 133.85<br />
|@poppuncher<br />
|-<br />
|{{TM|1RB1RZ_1RC0RF_1LD1RB_1RG0LE_1LD0RA_1RE0LD_0RC1LF}}<br />
|10 ↑↑ 129.24<br />
|@Iijil<br />
|-<br />
|{{TM|1RB0LC_1RC0RG_1RD0LF_1RE0RF_1LA1RG_1LE1LF_1RZ1RD}}<br />
|10 ↑↑ 126.20<br />
|@stokastic<br />
|-<br />
|{{TM|1RB1LF_1RC1RA_1LD0LD_1LA1LE_0LA0LD_1LG0RF_0LE1RZ}}<br />
|10 ↑↑ 116.97<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0RD_1RC0LA_0LA0LE_1RE1RZ_1RF0RA_1LG0LE_1LC0LG}}<br />
|10 ↑↑ 116.05<br />
|<br />
|-<br />
|{{TM|1RB0RD_1RC0RA_0RD1LD_0LE1LF_1LA0LG_0LC1LB_1LC1RZ}}<br />
|10 ↑↑ 115.52<br />
|@prurq<br />
|-<br />
|{{TM|1RB0RF_1RC0RB_0RD0RF_1LE0LG_1LC0RD_1LA0LD_1LF1RZ}}<br />
|10 ↑↑ 114.61<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RE_1LC0LA_1LD0LC_0LE0LA_1RF0RG_1RD0LE_1RA1RZ}}<br />
|10 ↑↑ 114.60<br />
|Shawn Ligocki<br />
|-<br />
|{{TM|1RB0RE_0RC1LC_0LD1LF_1LE0LG_1RA0RC_0LB1LA_1LB1RZ}}<br />
|10 ↑↑ 114.57<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RG_1LC0LE_1LD0LB_1RB1RE_0RA1RF_0RD1RC_1RD1RZ}}<br />
|10 ↑↑ 113.37<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1RC1RA_1RD0RB_1LE0RC_1LF0LD_1RG0LF_1RC0LG}}<br />
|10 ↑↑ 108.77<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LE_1RC1RA_1RD0RG_1LA1RZ_1RA1LF_1LA0LE_0RF1RG}}<br />
|10 ↑↑ 93.81<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RF_1LC0LD_1RC0LB_1LE1RG_1RA1RE_1RD0RD_0RA1RZ}}<br />
|10 ↑↑ 93.78<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1LB_1LC1RE_1RD1RC_0RE0RD_1LF0RB_1LF1LG_1RZ0LA}}<br />
|10 ↑↑ 86.40<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1LC_1RC0LG_1RD0RG_0LE0RA_1LC0LF_0LD1LF_1RZ1RA}}<br />
|10 ↑↑ 82.44<br />
|Terry Ligocki<br />
|}<br />
<br />
== Current Progress ==<br />
This is a summary of the 1 million subtasks from mxdys's code that have been processed, including further processing by Shawn Ligocki's linear rule code ("TBD" = "To Be Determined", "TBE" = "To Be Entered"):<br />
{| class="wikitable defaultleft"<br />
!rowspan="2"|Task range<br />
!rowspan="2"|Done by<br />
!colspan="2"|Completed<br />
!rowspan="2"|# holdouts<br />
!rowspan="2"|Maximum Score TM<br />
!rowspan="2"|~Sigma<br />
!rowspan="2"|Source<br />
|-<br />
!enumeration<br />
!linear rule<br />
|-<br />
|00xxxx<br />
|rowspan="10"|@Iijil<br />
|Yes<br />
|Yes<br />
|728,495<br />
|{{TM|1RB0RF_1RC1LF_0RD0RD_1LE0LB_1RA1RZ_1LG1RA_1LD0RC}}<br />
|10 ↑↑ 45.64<br />
|rowspan="10"|[https://drive.google.com/drive/folders/1wniwrAuvsHfkvro8Tg65WAMNZEuIekzD Google Drive folder]<br />
|-<br />
|01xxxx<br />
|Yes<br />
|Yes<br />
|817,178<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|-<br />
|02xxxx<br />
|Yes<br />
|No<br />
|963,486<br />
|TBD<br />
|TBD<br />
|-<br />
|03xxxx<br />
|Yes<br />
|No<br />
|1,052,504<br />
|TBD<br />
|TBD<br />
|-<br />
|04xxxx<br />
|Yes<br />
|No<br />
|955,711<br />
|TBD<br />
|TBD<br />
|-<br />
|05xxxx<br />
|Yes<br />
|No<br />
|1,056,745<br />
|TBD<br />
|TBD<br />
|-<br />
|06xxxx<br />
|Yes<br />
|No<br />
|950,271<br />
|TBD<br />
|TBD<br />
|-<br />
|07xxxx<br />
|Yes<br />
|No<br />
|1,053,750<br />
|TBD<br />
|TBD<br />
|-<br />
|08xxxx<br />
|Yes<br />
|No<br />
|951,114<br />
|TBD<br />
|TBD<br />
|-<br />
|09xxxx<br />
|Yes<br />
|No<br />
|1,052,362<br />
|TBD<br />
|TBD<br />
|-<br />
|13xxxx<br />
|Shawn Ligocki<br />
|Yes<br />
|Yes<br />
|1,192,442<br />
|{{TM|1RB0RE_1LC0LA_1LD0LC_0LE0LA_1RF0RG_1RD0LE_1RA1RZ}}<br />
|10 ↑↑ 114.60<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|<br />
20xxxx -<br/><br />
21xxxx<br />
|@C7X<br />
|Yes<br />
|No<br />
|2,013,389<br />
|TBD<br />
|TBD<br />
|[https://drive.google.com/drive/folders/11iGTKsvu2Y7aFrwOcWS1LYvcN6i_7-JM?usp=sharing Google Drive folder]<br />
|-<br />
|243308<br />
|@uni<br />
|Yes<br />
|No<br />
|TBE<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
|[https://discord.com/channels/960643023006490684/1369339127652159509/1373660959960469545 Discord post]<br />
|-<br />
|25xxxx<br />
|rowspan="10"|@stokastic<br />
|Yes<br />
|Yes<br />
|815,919<br />
|{{TM|1RB1RZ_1LC0LE_0LD0LC_0RE1LB_1RF0RG_0LD1RB_1RD1RA}}<br />
|10 ↑↑ 31.33<br />
|rowspan="10"|[https://drive.google.com/drive/folders/16_qIdWWD-wolj6zURB5ZSbY-otI4zoUF?usp=sharing Google Drive folder] <br />
|-<br />
|26xxxx<br />
|Yes<br />
|Yes<br />
|731,995<br />
|{{TM|1RB1RZ_0LC1RB_0LE0LD_1LE1LD_0RF0LC_0RG1RF_1RD0RA}}<br />
|10 ↑↑ 36.26<br />
|-<br />
|27xxxx<br />
|Yes<br />
|Yes<br />
|811,486<br />
|{{TM|1RB0RG_1LC1LB_0RE0LD_0LC1RF_0RA1RE_0LF0LB_1RF1RZ}}<br />
|10 ↑↑ 63.56<br />
|-<br />
|28xxxx<br />
|Yes<br />
|Yes<br />
|956,935<br />
|{{TM|1RB1RZ_0LC1RC_0RE1RD_0RB1RG_1RF0RA_1LG0LC_1LB0LF}}<br />
|10↑↑114.57<br />
|-<br />
|29xxxx<br />
|Yes<br />
|Yes<br />
|1,052,415<br />
|{{TM|1RB1LA_1RC1RD_0LA1LG_1RZ0LE_1RB1RF_1RE0LC_0RE1LF}}<br />
|10↑↑31.67<br />
|-<br />
|30xxxx<br />
|Yes<br />
|Yes<br />
|1,032,095<br />
|{{TM|1RB0LC_1RC0RG_1RD0LF_1RE0RF_1LA1RG_1LE1LF_1RZ1RD}}<br />
|10↑↑126.20<br />
|-<br />
|31xxxx<br />
|Yes<br />
|No<br />
|1,436,970<br />
|TBD<br />
|TBD<br />
|-<br />
|32xxxx<br />
|Yes<br />
|No<br />
|1,036,950<br />
|TBD<br />
|TBD<br />
|-<br />
|33xxxx<br />
|Yes<br />
|No<br />
|1,432,081<br />
|TBD<br />
|TBD<br />
|-<br />
|34xxxx<br />
|Yes<br />
|No<br />
|1,032,970<br />
|TBD<br />
|TBD<br />
|-<br />
|<br />
35xxxx -<br/><br />
39xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|4,894,047<br />
|{{TM|1RB1RZ_1LC0RF_0LD1LB_1RD0LE_1RB1LE_1RG0RE_0RA0LE}}<br />
|10 ↑↑ 192.67<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|40xxxx<br />
| rowspan="6" |Andrew Ducharme<br />
|Yes<br />
|Yes<br />
|730,310<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
| rowspan="6" |[https://drive.google.com/drive/folders/16uDjgOahkhAMWv3v-YWmxJG7xxsBvj4h?usp=sharing Google Drive folder]<br />
|-<br />
|41xxxx<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|42xxxx<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|43xxxx<br />
|Yes<br />
|Yes<br />
|817,332<br />
|{{TM|1RB0LE_1RC1RA_1RD0RG_1LA1RZ_1RA1LF_1LA0LE_0RF1RG}}<br />
|10 ↑↑ 93.81<br />
|-<br />
|44xxxx<br />
|Yes<br />
|Yes<br />
|729,686<br />
|{{TM|1RB1LC_1RC0RC_1RD1LA_0RE1RF_1LC0LG_1LA1LE_1RZ1LF}}<br />
|10 ↑↑ 76.36<br />
|-<br />
|45xxxx<br />
|Yes<br />
|Yes<br />
|812,973<br />
|{{TM|1RB0RE_0RC1LC_0LD1LF_1LE0LG_1RA0RC_0LB1LA_1LB1RZ}}<br />
|10 ↑↑ 114.57<br />
|-<br />
|49xxxx<br />
|Tobiáš Brichta<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|[https://drive.google.com/drive/folders/1-csgJ5uSIX3SKlqTkSnhkUuEYLKgCw81 Google Drive folder]<br />
|-<br />
|500xxx<br />
|rowspan="2"|@prurq<br />
|Yes<br />
|Yes<br />
|120,520<br />
|{{TM|1RB0RD_1RC0RA_0RD1LD_0LE1LF_1LA0LG_0LC1LB_1LC1RZ}}<br />
|10 ↑↑ 115.52<br />
|rowspan="2"|[https://drive.google.com/drive/folders/145H4sT4F9KJYGSrlIETZdBOIMR7krLQm Google Drive folder]<br />
|-<br />
|501xxx<br />
|Yes<br />
|No<br />
|96,102<br />
|TBD<br />
|TBD<br />
|-<br />
|60xxxx<br />
| rowspan="5" |@gerbil5709<br />
|Yes<br />
|No<br />
|957,769<br />
|TBD<br />
|TBD<br />
| rowspan="5" |[https://drive.google.com/drive/folders/1kAvBebeF09CEVocCk5bGKlDJfRN8co_i?usp=sharing Google Drive folder]<br />
|-<br />
|61xxxx<br />
|Yes<br />
|No<br />
|1,052,047<br />
|TBD<br />
|TBD<br />
|-<br />
|62xxxx<br />
|Yes<br />
|No<br />
|959,753 <br />
|TBD<br />
|TBD<br />
|-<br />
|63xxxx<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|64xxxx<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|68xxxx<br />
|Terry Ligocki<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|69xxxx<br />
|@poppuncher<br />
|Yes<br />
|Yes<br />
|1,053,119<br />
|{{TM|1RB0LG_0RC1RZ_1LD0LA_1RE1LE_1LC1RF_0RE0RA_0RF1LG}}<br />
|10 ↑↑ 133.85<br />
|[https://drive.google.com/drive/folders/1KlCZqXxqVPuBPkDcCBocuMPA8paq9b8P?usp=drive_link Google Drive folder]<br />
|-<br />
|70xxxx<br />
|@hipparcos<br />
|Yes<br />
|Yes<br />
|798,304<br />
|<br />
{{TM|1RB0LF_1RC1LE_0RD1RA_1RE1RG_0LA1LB_1LE1RG_0RC1RZ}}<br/><br />
{{TM|1RB0LF_1LC1LE_1RE0LD_0LC0LA_1LB1RA_0LG0RC_1RZ0LA}}<br />
|<br />
10 ↑↑ 33.81<br/><br />
10 ↑↑ 26.63<br />
|[https://github.com/jhuang97/bb7x2/releases/tag/70xxxx Github release]<br />
|-<br />
|71xxxx<br />
|@hipparcos<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|<br />
|-<br />
|75xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|1,103,089<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_0RF0LF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|80xxxx<br />
|@xnoobspeakable<br />
|Yes<br />
|No<br />
|964,396<br />
|TBD<br />
|TBD<br />
| rowspan="2" |[https://drive.google.com/drive/folders/1TpuEC7KottEmvsFnCREugnlVMPaY5ZHi?usp=sharing Google Drive folder]<br />
|-<br />
|81xxxx<br />
|@xnoobspeakable<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|<br />
85xxxx -<br/><br />
9xxxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|13,396,923<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|}<br />
[[Category:BB Domain]]</div>
Gerbil
https://wiki.bbchallenge.org/w/index.php?title=BB(7)&diff=2170
BB(7)
2025-06-09T20:02:52Z
<p>Gerbil: /* Current Progress */</p>
<hr />
<div>The 7-state, 2-symbol Busy Beaver problem '''BB(7)''' is a mostly unexplored domain with only preliminary information.<br />
<br />
The current BB(7) champion is {{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}} discovered by Pavel Kropitz in 2025 proving the lower bound:<math display="block">S(7) > \Sigma(7) > 2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
<br />
== History ==<br />
Before 2025, the only known BB(7) champions were produced by hand, not by search. Example, Milton Green designed a machine in 1964 that had [[sigma score]] 22,961 and Wythagoras modified a BB(6) champion in 2014 to produce a machine that had sigma score <math>> 10 \uparrow\uparrow 5</math>.<br />
<br />
In May 2025, mxdys shared [https://github.com/ccz181078/TM C++ code] that breaks up the BB(7) enumeration into 1 million subtasks which each run for about 2 minutes and leave ~100 holdouts each. Various folks on Discord have been investigating different sections of this domain to search for champions.<br />
<br />
Within three days of the code's release, the Ligockis found three champions after applying their deciders to enumerator output. Shawn Ligocki found the first two, {{TM|1RB0RF_1LC0RE_1RD1LB_1LA1LD_0RA0LE_1RG0LB_1RZ1RB}} and {{TM|1RB1RA_1RC0LC_0LD1LG_1LF0LE_1RZ1LF_0LA1LD_1RA1LC}}, with sigma scores of approximately 10 ↑↑ 22 and 10 ↑↑ 35. That evening, Terry Ligocki found {{TM|1RB0LG_1RC0RF_1LD1RZ_1LF0LE_1RA1LD_1LG1RE_0LB0LB}}, with sigma score ~10 ↑↑ 46. These were all outpaced by Pavel's champion.<br />
<br />
== Top Halters ==<br />
Based on limited search through a subset of the 1 million subtasks from mxdys's code, the top 20 scoring known machines are:<br />
{| class="wikitable"<br />
!TM<br />
!Approximate sigma score<br />
!Discoverer<br />
|-<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
|Pavel Kropitz<br />
|-<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|@Iijil<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LG_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RG0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LF0RF_0RA1RE_1RZ0RE}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LF0RF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_1LG1RE_1LF0RF_0RA1RE_1RZ0RA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_1LG1RE_1LD0RF_0RA1RE_1RZ0RA}}<br />
|10 ↑↑ 188.28<br />
|@XnoobSpeakable, @Peacemaker II<br />
|-<br />
|{{TM|1RB0LG_0RC1RZ_1LD0LA_1RE1LE_1LC1RF_0RE0RA_0RF1LG}}<br />
|10 ↑↑ 133.85<br />
|@poppuncher<br />
|-<br />
|{{TM|1RB1RZ_1RC0RF_1LD1RB_1RG0LE_1LD0RA_1RE0LD_0RC1LF}}<br />
|10 ↑↑ 129.24<br />
|@Iijil<br />
|-<br />
|{{TM|1RB0LC_1RC0RG_1RD0LF_1RE0RF_1LA1RG_1LE1LF_1RZ1RD}}<br />
|10 ↑↑ 126.20<br />
|@stokastic<br />
|-<br />
|{{TM|1RB1LF_1RC1RA_1LD0LD_1LA1LE_0LA0LD_1LG0RF_0LE1RZ}}<br />
|10 ↑↑ 116.97<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0RD_1RC0LA_0LA0LE_1RE1RZ_1RF0RA_1LG0LE_1LC0LG}}<br />
|10 ↑↑ 116.05<br />
|<br />
|-<br />
|{{TM|1RB0RD_1RC0RA_0RD1LD_0LE1LF_1LA0LG_0LC1LB_1LC1RZ}}<br />
|10 ↑↑ 115.52<br />
|@prurq<br />
|-<br />
|{{TM|1RB0RF_1RC0RB_0RD0RF_1LE0LG_1LC0RD_1LA0LD_1LF1RZ}}<br />
|10 ↑↑ 114.61<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RE_1LC0LA_1LD0LC_0LE0LA_1RF0RG_1RD0LE_1RA1RZ}}<br />
|10 ↑↑ 114.60<br />
|Shawn Ligocki<br />
|-<br />
|{{TM|1RB0RE_0RC1LC_0LD1LF_1LE0LG_1RA0RC_0LB1LA_1LB1RZ}}<br />
|10 ↑↑ 114.57<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RG_1LC0LE_1LD0LB_1RB1RE_0RA1RF_0RD1RC_1RD1RZ}}<br />
|10 ↑↑ 113.37<br />
|Terry Ligocki<br />
|}<br />
The top 20 known halters with unique scores are:<br />
{| class="wikitable"<br />
!TM<br />
!Approximate sigma score<br />
!Discoverer<br />
|-<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
|Pavel Kropitz<br />
|-<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|@Iijil<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LG_0RC1RZ_1LD0LA_1RE1LE_1LC1RF_0RE0RA_0RF1LG}}<br />
|10 ↑↑ 133.85<br />
|@poppuncher<br />
|-<br />
|{{TM|1RB1RZ_1RC0RF_1LD1RB_1RG0LE_1LD0RA_1RE0LD_0RC1LF}}<br />
|10 ↑↑ 129.24<br />
|@Iijil<br />
|-<br />
|{{TM|1RB0LC_1RC0RG_1RD0LF_1RE0RF_1LA1RG_1LE1LF_1RZ1RD}}<br />
|10 ↑↑ 126.20<br />
|@stokastic<br />
|-<br />
|{{TM|1RB1LF_1RC1RA_1LD0LD_1LA1LE_0LA0LD_1LG0RF_0LE1RZ}}<br />
|10 ↑↑ 116.97<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0RD_1RC0LA_0LA0LE_1RE1RZ_1RF0RA_1LG0LE_1LC0LG}}<br />
|10 ↑↑ 116.05<br />
|<br />
|-<br />
|{{TM|1RB0RD_1RC0RA_0RD1LD_0LE1LF_1LA0LG_0LC1LB_1LC1RZ}}<br />
|10 ↑↑ 115.52<br />
|@prurq<br />
|-<br />
|{{TM|1RB0RF_1RC0RB_0RD0RF_1LE0LG_1LC0RD_1LA0LD_1LF1RZ}}<br />
|10 ↑↑ 114.61<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RE_1LC0LA_1LD0LC_0LE0LA_1RF0RG_1RD0LE_1RA1RZ}}<br />
|10 ↑↑ 114.60<br />
|Shawn Ligocki<br />
|-<br />
|{{TM|1RB0RE_0RC1LC_0LD1LF_1LE0LG_1RA0RC_0LB1LA_1LB1RZ}}<br />
|10 ↑↑ 114.57<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RG_1LC0LE_1LD0LB_1RB1RE_0RA1RF_0RD1RC_1RD1RZ}}<br />
|10 ↑↑ 113.37<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1RC1RA_1RD0RB_1LE0RC_1LF0LD_1RG0LF_1RC0LG}}<br />
|10 ↑↑ 108.77<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LE_1RC1RA_1RD0RG_1LA1RZ_1RA1LF_1LA0LE_0RF1RG}}<br />
|10 ↑↑ 93.81<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RF_1LC0LD_1RC0LB_1LE1RG_1RA1RE_1RD0RD_0RA1RZ}}<br />
|10 ↑↑ 93.78<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1LB_1LC1RE_1RD1RC_0RE0RD_1LF0RB_1LF1LG_1RZ0LA}}<br />
|10 ↑↑ 86.40<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1LC_1RC0LG_1RD0RG_0LE0RA_1LC0LF_0LD1LF_1RZ1RA}}<br />
|10 ↑↑ 82.44<br />
|Terry Ligocki<br />
|}<br />
<br />
== Current Progress ==<br />
This is a summary of the 1 million subtasks from mxdys's code that have been processed, including further processing by Shawn Ligocki's linear rule code ("TBD" = "To Be Determined", "TBE" = "To Be Entered"):<br />
{| class="wikitable defaultleft"<br />
!rowspan="2"|Task range<br />
!rowspan="2"|Done by<br />
!colspan="2"|Completed<br />
!rowspan="2"|# holdouts<br />
!rowspan="2"|Maximum Score TM<br />
!rowspan="2"|~Sigma<br />
!rowspan="2"|Source<br />
|-<br />
!enumeration<br />
!linear rule<br />
|-<br />
|00xxxx<br />
|rowspan="10"|@Iijil<br />
|Yes<br />
|Yes<br />
|728,495<br />
|{{TM|1RB0RF_1RC1LF_0RD0RD_1LE0LB_1RA1RZ_1LG1RA_1LD0RC}}<br />
|10 ↑↑ 45.64<br />
|rowspan="10"|[https://drive.google.com/drive/folders/1wniwrAuvsHfkvro8Tg65WAMNZEuIekzD Google Drive folder]<br />
|-<br />
|01xxxx<br />
|Yes<br />
|Yes<br />
|817,178<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|-<br />
|02xxxx<br />
|Yes<br />
|No<br />
|963,486<br />
|TBD<br />
|TBD<br />
|-<br />
|03xxxx<br />
|Yes<br />
|No<br />
|1,052,504<br />
|TBD<br />
|TBD<br />
|-<br />
|04xxxx<br />
|Yes<br />
|No<br />
|955,711<br />
|TBD<br />
|TBD<br />
|-<br />
|05xxxx<br />
|Yes<br />
|No<br />
|1,056,745<br />
|TBD<br />
|TBD<br />
|-<br />
|06xxxx<br />
|Yes<br />
|No<br />
|950,271<br />
|TBD<br />
|TBD<br />
|-<br />
|07xxxx<br />
|Yes<br />
|No<br />
|1,053,750<br />
|TBD<br />
|TBD<br />
|-<br />
|08xxxx<br />
|Yes<br />
|No<br />
|951,114<br />
|TBD<br />
|TBD<br />
|-<br />
|09xxxx<br />
|Yes<br />
|No<br />
|1,052,362<br />
|TBD<br />
|TBD<br />
|-<br />
|13xxxx<br />
|Shawn Ligocki<br />
|Yes<br />
|Yes<br />
|1,192,442<br />
|{{TM|1RB0RE_1LC0LA_1LD0LC_0LE0LA_1RF0RG_1RD0LE_1RA1RZ}}<br />
|10 ↑↑ 114.60<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|<br />
20xxxx -<br/><br />
21xxxx<br />
|@C7X<br />
|Yes<br />
|No<br />
|2,013,389<br />
|TBD<br />
|TBD<br />
|[https://drive.google.com/drive/folders/11iGTKsvu2Y7aFrwOcWS1LYvcN6i_7-JM?usp=sharing Google Drive folder]<br />
|-<br />
|243308<br />
|@uni<br />
|Yes<br />
|No<br />
|TBE<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
|[https://discord.com/channels/960643023006490684/1369339127652159509/1373660959960469545 Discord post]<br />
|-<br />
|25xxxx<br />
|rowspan="10"|@stokastic<br />
|Yes<br />
|Yes<br />
|815,919<br />
|{{TM|1RB1RZ_1LC0LE_0LD0LC_0RE1LB_1RF0RG_0LD1RB_1RD1RA}}<br />
|10 ↑↑ 31.33<br />
|rowspan="10"|[https://drive.google.com/drive/folders/16_qIdWWD-wolj6zURB5ZSbY-otI4zoUF?usp=sharing Google Drive folder] <br />
|-<br />
|26xxxx<br />
|Yes<br />
|Yes<br />
|731,995<br />
|{{TM|1RB1RZ_0LC1RB_0LE0LD_1LE1LD_0RF0LC_0RG1RF_1RD0RA}}<br />
|10 ↑↑ 36.26<br />
|-<br />
|27xxxx<br />
|Yes<br />
|Yes<br />
|811,486<br />
|{{TM|1RB0RG_1LC1LB_0RE0LD_0LC1RF_0RA1RE_0LF0LB_1RF1RZ}}<br />
|10 ↑↑ 63.56<br />
|-<br />
|28xxxx<br />
|Yes<br />
|Yes<br />
|956,935<br />
|{{TM|1RB1RZ_0LC1RC_0RE1RD_0RB1RG_1RF0RA_1LG0LC_1LB0LF}}<br />
|10↑↑114.57<br />
|-<br />
|29xxxx<br />
|Yes<br />
|Yes<br />
|1,052,415<br />
|{{TM|1RB1LA_1RC1RD_0LA1LG_1RZ0LE_1RB1RF_1RE0LC_0RE1LF}}<br />
|10↑↑31.67<br />
|-<br />
|30xxxx<br />
|Yes<br />
|Yes<br />
|1,032,095<br />
|{{TM|1RB0LC_1RC0RG_1RD0LF_1RE0RF_1LA1RG_1LE1LF_1RZ1RD}}<br />
|10↑↑126.20<br />
|-<br />
|31xxxx<br />
|Yes<br />
|No<br />
|1,436,970<br />
|TBD<br />
|TBD<br />
|-<br />
|32xxxx<br />
|Yes<br />
|No<br />
|1,036,950<br />
|TBD<br />
|TBD<br />
|-<br />
|33xxxx<br />
|Yes<br />
|No<br />
|1,432,081<br />
|TBD<br />
|TBD<br />
|-<br />
|34xxxx<br />
|Yes<br />
|No<br />
|1,032,970<br />
|TBD<br />
|TBD<br />
|-<br />
|<br />
35xxxx -<br/><br />
39xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|4,894,047<br />
|{{TM|1RB1RZ_1LC0RF_0LD1LB_1RD0LE_1RB1LE_1RG0RE_0RA0LE}}<br />
|10 ↑↑ 192.67<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|40xxxx<br />
| rowspan="6" |Andrew Ducharme<br />
|Yes<br />
|Yes<br />
|730,310<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
| rowspan="6" |[https://drive.google.com/drive/folders/16uDjgOahkhAMWv3v-YWmxJG7xxsBvj4h?usp=sharing Google Drive folder]<br />
|-<br />
|41xxxx<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|42xxxx<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|43xxxx<br />
|Yes<br />
|Yes<br />
|817,332<br />
|{{TM|1RB0LE_1RC1RA_1RD0RG_1LA1RZ_1RA1LF_1LA0LE_0RF1RG}}<br />
|10 ↑↑ 93.81<br />
|-<br />
|44xxxx<br />
|Yes<br />
|Yes<br />
|729,686<br />
|{{TM|1RB1LC_1RC0RC_1RD1LA_0RE1RF_1LC0LG_1LA1LE_1RZ1LF}}<br />
|10 ↑↑ 76.36<br />
|-<br />
|45xxxx<br />
|Yes<br />
|Yes<br />
|812,973<br />
|{{TM|1RB0RE_0RC1LC_0LD1LF_1LE0LG_1RA0RC_0LB1LA_1LB1RZ}}<br />
|10 ↑↑ 114.57<br />
|-<br />
|49xxxx<br />
|Tobiáš Brichta<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|[https://drive.google.com/drive/folders/1-csgJ5uSIX3SKlqTkSnhkUuEYLKgCw81 Google Drive folder]<br />
|-<br />
|500xxx<br />
|rowspan="2"|@prurq<br />
|Yes<br />
|Yes<br />
|120,520<br />
|{{TM|1RB0RD_1RC0RA_0RD1LD_0LE1LF_1LA0LG_0LC1LB_1LC1RZ}}<br />
|10 ↑↑ 115.52<br />
|rowspan="2"|[https://drive.google.com/drive/folders/145H4sT4F9KJYGSrlIETZdBOIMR7krLQm Google Drive folder]<br />
|-<br />
|501xxx<br />
|Yes<br />
|No<br />
|96,102<br />
|TBD<br />
|TBD<br />
|-<br />
|60xxxx<br />
| rowspan="4" |@gerbil5709<br />
|Yes<br />
|No<br />
|957,769<br />
|TBD<br />
|TBD<br />
| rowspan="4" |[https://drive.google.com/drive/folders/1kAvBebeF09CEVocCk5bGKlDJfRN8co_i?usp=sharing Google Drive folder]<br />
|-<br />
|61xxxx<br />
|Yes<br />
|No<br />
|1,052,047<br />
|TBD<br />
|TBD<br />
|-<br />
|62xxxx<br />
|Yes<br />
|No<br />
|959,753 <br />
|TBD<br />
|TBD<br />
|-<br />
|63xxxx<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|68xxxx<br />
|Terry Ligocki<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|69xxxx<br />
|@poppuncher<br />
|Yes<br />
|Yes<br />
|1,053,119<br />
|{{TM|1RB0LG_0RC1RZ_1LD0LA_1RE1LE_1LC1RF_0RE0RA_0RF1LG}}<br />
|10 ↑↑ 133.85<br />
|[https://drive.google.com/drive/folders/1KlCZqXxqVPuBPkDcCBocuMPA8paq9b8P?usp=drive_link Google Drive folder]<br />
|-<br />
|70xxxx<br />
|@hipparcos<br />
|Yes<br />
|Yes<br />
|798,304<br />
|<br />
{{TM|1RB0LF_1RC1LE_0RD1RA_1RE1RG_0LA1LB_1LE1RG_0RC1RZ}}<br/><br />
{{TM|1RB0LF_1LC1LE_1RE0LD_0LC0LA_1LB1RA_0LG0RC_1RZ0LA}}<br />
|<br />
10 ↑↑ 33.81<br/><br />
10 ↑↑ 26.63<br />
|[https://github.com/jhuang97/bb7x2/releases/tag/70xxxx Github release]<br />
|-<br />
|71xxxx<br />
|@hipparcos<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|<br />
|-<br />
|75xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|1,103,089<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_0RF0LF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|80xxxx<br />
|@xnoobspeakable<br />
|Yes<br />
|No<br />
|964,396<br />
|TBD<br />
|TBD<br />
| rowspan="2" |[https://drive.google.com/drive/folders/1TpuEC7KottEmvsFnCREugnlVMPaY5ZHi?usp=sharing Google Drive folder]<br />
|-<br />
|81xxxx<br />
|@xnoobspeakable<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|<br />
85xxxx -<br/><br />
9xxxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|13,396,923<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|}<br />
[[Category:BB Domain]]</div>
Gerbil
https://wiki.bbchallenge.org/w/index.php?title=BB(7)&diff=2169
BB(7)
2025-06-09T20:02:03Z
<p>Gerbil: /* Current Progress */</p>
<hr />
<div>The 7-state, 2-symbol Busy Beaver problem '''BB(7)''' is a mostly unexplored domain with only preliminary information.<br />
<br />
The current BB(7) champion is {{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}} discovered by Pavel Kropitz in 2025 proving the lower bound:<math display="block">S(7) > \Sigma(7) > 2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
<br />
== History ==<br />
Before 2025, the only known BB(7) champions were produced by hand, not by search. Example, Milton Green designed a machine in 1964 that had [[sigma score]] 22,961 and Wythagoras modified a BB(6) champion in 2014 to produce a machine that had sigma score <math>> 10 \uparrow\uparrow 5</math>.<br />
<br />
In May 2025, mxdys shared [https://github.com/ccz181078/TM C++ code] that breaks up the BB(7) enumeration into 1 million subtasks which each run for about 2 minutes and leave ~100 holdouts each. Various folks on Discord have been investigating different sections of this domain to search for champions.<br />
<br />
Within three days of the code's release, the Ligockis found three champions after applying their deciders to enumerator output. Shawn Ligocki found the first two, {{TM|1RB0RF_1LC0RE_1RD1LB_1LA1LD_0RA0LE_1RG0LB_1RZ1RB}} and {{TM|1RB1RA_1RC0LC_0LD1LG_1LF0LE_1RZ1LF_0LA1LD_1RA1LC}}, with sigma scores of approximately 10 ↑↑ 22 and 10 ↑↑ 35. That evening, Terry Ligocki found {{TM|1RB0LG_1RC0RF_1LD1RZ_1LF0LE_1RA1LD_1LG1RE_0LB0LB}}, with sigma score ~10 ↑↑ 46. These were all outpaced by Pavel's champion.<br />
<br />
== Top Halters ==<br />
Based on limited search through a subset of the 1 million subtasks from mxdys's code, the top 20 scoring known machines are:<br />
{| class="wikitable"<br />
!TM<br />
!Approximate sigma score<br />
!Discoverer<br />
|-<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
|Pavel Kropitz<br />
|-<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|@Iijil<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LG_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RG0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LF0RF_0RA1RE_1RZ0RE}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LF0RF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_1LG1RE_1LF0RF_0RA1RE_1RZ0RA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_1LG1RE_1LD0RF_0RA1RE_1RZ0RA}}<br />
|10 ↑↑ 188.28<br />
|@XnoobSpeakable, @Peacemaker II<br />
|-<br />
|{{TM|1RB0LG_0RC1RZ_1LD0LA_1RE1LE_1LC1RF_0RE0RA_0RF1LG}}<br />
|10 ↑↑ 133.85<br />
|@poppuncher<br />
|-<br />
|{{TM|1RB1RZ_1RC0RF_1LD1RB_1RG0LE_1LD0RA_1RE0LD_0RC1LF}}<br />
|10 ↑↑ 129.24<br />
|@Iijil<br />
|-<br />
|{{TM|1RB0LC_1RC0RG_1RD0LF_1RE0RF_1LA1RG_1LE1LF_1RZ1RD}}<br />
|10 ↑↑ 126.20<br />
|@stokastic<br />
|-<br />
|{{TM|1RB1LF_1RC1RA_1LD0LD_1LA1LE_0LA0LD_1LG0RF_0LE1RZ}}<br />
|10 ↑↑ 116.97<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0RD_1RC0LA_0LA0LE_1RE1RZ_1RF0RA_1LG0LE_1LC0LG}}<br />
|10 ↑↑ 116.05<br />
|<br />
|-<br />
|{{TM|1RB0RD_1RC0RA_0RD1LD_0LE1LF_1LA0LG_0LC1LB_1LC1RZ}}<br />
|10 ↑↑ 115.52<br />
|@prurq<br />
|-<br />
|{{TM|1RB0RF_1RC0RB_0RD0RF_1LE0LG_1LC0RD_1LA0LD_1LF1RZ}}<br />
|10 ↑↑ 114.61<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RE_1LC0LA_1LD0LC_0LE0LA_1RF0RG_1RD0LE_1RA1RZ}}<br />
|10 ↑↑ 114.60<br />
|Shawn Ligocki<br />
|-<br />
|{{TM|1RB0RE_0RC1LC_0LD1LF_1LE0LG_1RA0RC_0LB1LA_1LB1RZ}}<br />
|10 ↑↑ 114.57<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RG_1LC0LE_1LD0LB_1RB1RE_0RA1RF_0RD1RC_1RD1RZ}}<br />
|10 ↑↑ 113.37<br />
|Terry Ligocki<br />
|}<br />
The top 20 known halters with unique scores are:<br />
{| class="wikitable"<br />
!TM<br />
!Approximate sigma score<br />
!Discoverer<br />
|-<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
|Pavel Kropitz<br />
|-<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|@Iijil<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LG_0RC1RZ_1LD0LA_1RE1LE_1LC1RF_0RE0RA_0RF1LG}}<br />
|10 ↑↑ 133.85<br />
|@poppuncher<br />
|-<br />
|{{TM|1RB1RZ_1RC0RF_1LD1RB_1RG0LE_1LD0RA_1RE0LD_0RC1LF}}<br />
|10 ↑↑ 129.24<br />
|@Iijil<br />
|-<br />
|{{TM|1RB0LC_1RC0RG_1RD0LF_1RE0RF_1LA1RG_1LE1LF_1RZ1RD}}<br />
|10 ↑↑ 126.20<br />
|@stokastic<br />
|-<br />
|{{TM|1RB1LF_1RC1RA_1LD0LD_1LA1LE_0LA0LD_1LG0RF_0LE1RZ}}<br />
|10 ↑↑ 116.97<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0RD_1RC0LA_0LA0LE_1RE1RZ_1RF0RA_1LG0LE_1LC0LG}}<br />
|10 ↑↑ 116.05<br />
|<br />
|-<br />
|{{TM|1RB0RD_1RC0RA_0RD1LD_0LE1LF_1LA0LG_0LC1LB_1LC1RZ}}<br />
|10 ↑↑ 115.52<br />
|@prurq<br />
|-<br />
|{{TM|1RB0RF_1RC0RB_0RD0RF_1LE0LG_1LC0RD_1LA0LD_1LF1RZ}}<br />
|10 ↑↑ 114.61<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RE_1LC0LA_1LD0LC_0LE0LA_1RF0RG_1RD0LE_1RA1RZ}}<br />
|10 ↑↑ 114.60<br />
|Shawn Ligocki<br />
|-<br />
|{{TM|1RB0RE_0RC1LC_0LD1LF_1LE0LG_1RA0RC_0LB1LA_1LB1RZ}}<br />
|10 ↑↑ 114.57<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RG_1LC0LE_1LD0LB_1RB1RE_0RA1RF_0RD1RC_1RD1RZ}}<br />
|10 ↑↑ 113.37<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1RC1RA_1RD0RB_1LE0RC_1LF0LD_1RG0LF_1RC0LG}}<br />
|10 ↑↑ 108.77<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LE_1RC1RA_1RD0RG_1LA1RZ_1RA1LF_1LA0LE_0RF1RG}}<br />
|10 ↑↑ 93.81<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RF_1LC0LD_1RC0LB_1LE1RG_1RA1RE_1RD0RD_0RA1RZ}}<br />
|10 ↑↑ 93.78<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1LB_1LC1RE_1RD1RC_0RE0RD_1LF0RB_1LF1LG_1RZ0LA}}<br />
|10 ↑↑ 86.40<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1LC_1RC0LG_1RD0RG_0LE0RA_1LC0LF_0LD1LF_1RZ1RA}}<br />
|10 ↑↑ 82.44<br />
|Terry Ligocki<br />
|}<br />
<br />
== Current Progress ==<br />
This is a summary of the 1 million subtasks from mxdys's code that have been processed, including further processing by Shawn Ligocki's linear rule code ("TBD" = "To Be Determined", "TBE" = "To Be Entered"):<br />
{| class="wikitable defaultleft"<br />
!rowspan="2"|Task range<br />
!rowspan="2"|Done by<br />
!colspan="2"|Completed<br />
!rowspan="2"|# holdouts<br />
!rowspan="2"|Maximum Score TM<br />
!rowspan="2"|~Sigma<br />
!rowspan="2"|Source<br />
|-<br />
!enumeration<br />
!linear rule<br />
|-<br />
|00xxxx<br />
|rowspan="10"|@Iijil<br />
|Yes<br />
|Yes<br />
|728,495<br />
|{{TM|1RB0RF_1RC1LF_0RD0RD_1LE0LB_1RA1RZ_1LG1RA_1LD0RC}}<br />
|10 ↑↑ 45.64<br />
|rowspan="10"|[https://drive.google.com/drive/folders/1wniwrAuvsHfkvro8Tg65WAMNZEuIekzD Google Drive folder]<br />
|-<br />
|01xxxx<br />
|Yes<br />
|Yes<br />
|817,178<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|-<br />
|02xxxx<br />
|Yes<br />
|No<br />
|963,486<br />
|TBD<br />
|TBD<br />
|-<br />
|03xxxx<br />
|Yes<br />
|No<br />
|1,052,504<br />
|TBD<br />
|TBD<br />
|-<br />
|04xxxx<br />
|Yes<br />
|No<br />
|955,711<br />
|TBD<br />
|TBD<br />
|-<br />
|05xxxx<br />
|Yes<br />
|No<br />
|1,056,745<br />
|TBD<br />
|TBD<br />
|-<br />
|06xxxx<br />
|Yes<br />
|No<br />
|950,271<br />
|TBD<br />
|TBD<br />
|-<br />
|07xxxx<br />
|Yes<br />
|No<br />
|1,053,750<br />
|TBD<br />
|TBD<br />
|-<br />
|08xxxx<br />
|Yes<br />
|No<br />
|951,114<br />
|TBD<br />
|TBD<br />
|-<br />
|09xxxx<br />
|Yes<br />
|No<br />
|1,052,362<br />
|TBD<br />
|TBD<br />
|-<br />
|13xxxx<br />
|Shawn Ligocki<br />
|Yes<br />
|Yes<br />
|1,192,442<br />
|{{TM|1RB0RE_1LC0LA_1LD0LC_0LE0LA_1RF0RG_1RD0LE_1RA1RZ}}<br />
|10 ↑↑ 114.60<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|<br />
20xxxx -<br/><br />
21xxxx<br />
|@C7X<br />
|Yes<br />
|No<br />
|2,013,389<br />
|TBD<br />
|TBD<br />
|[https://drive.google.com/drive/folders/11iGTKsvu2Y7aFrwOcWS1LYvcN6i_7-JM?usp=sharing Google Drive folder]<br />
|-<br />
|243308<br />
|@uni<br />
|Yes<br />
|No<br />
|TBE<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
|[https://discord.com/channels/960643023006490684/1369339127652159509/1373660959960469545 Discord post]<br />
|-<br />
|25xxxx<br />
|rowspan="10"|@stokastic<br />
|Yes<br />
|Yes<br />
|815,919<br />
|{{TM|1RB1RZ_1LC0LE_0LD0LC_0RE1LB_1RF0RG_0LD1RB_1RD1RA}}<br />
|10 ↑↑ 31.33<br />
|rowspan="10"|[https://drive.google.com/drive/folders/16_qIdWWD-wolj6zURB5ZSbY-otI4zoUF?usp=sharing Google Drive folder] <br />
|-<br />
|26xxxx<br />
|Yes<br />
|Yes<br />
|731,995<br />
|{{TM|1RB1RZ_0LC1RB_0LE0LD_1LE1LD_0RF0LC_0RG1RF_1RD0RA}}<br />
|10 ↑↑ 36.26<br />
|-<br />
|27xxxx<br />
|Yes<br />
|Yes<br />
|811,486<br />
|{{TM|1RB0RG_1LC1LB_0RE0LD_0LC1RF_0RA1RE_0LF0LB_1RF1RZ}}<br />
|10 ↑↑ 63.56<br />
|-<br />
|28xxxx<br />
|Yes<br />
|Yes<br />
|956,935<br />
|{{TM|1RB1RZ_0LC1RC_0RE1RD_0RB1RG_1RF0RA_1LG0LC_1LB0LF}}<br />
|10↑↑114.57<br />
|-<br />
|29xxxx<br />
|Yes<br />
|Yes<br />
|1,052,415<br />
|{{TM|1RB1LA_1RC1RD_0LA1LG_1RZ0LE_1RB1RF_1RE0LC_0RE1LF}}<br />
|10↑↑31.67<br />
|-<br />
|30xxxx<br />
|Yes<br />
|Yes<br />
|1,032,095<br />
|{{TM|1RB0LC_1RC0RG_1RD0LF_1RE0RF_1LA1RG_1LE1LF_1RZ1RD}}<br />
|10↑↑126.20<br />
|-<br />
|31xxxx<br />
|Yes<br />
|No<br />
|1,436,970<br />
|TBD<br />
|TBD<br />
|-<br />
|32xxxx<br />
|Yes<br />
|No<br />
|1,036,950<br />
|TBD<br />
|TBD<br />
|-<br />
|33xxxx<br />
|Yes<br />
|No<br />
|1,432,081<br />
|TBD<br />
|TBD<br />
|-<br />
|34xxxx<br />
|Yes<br />
|No<br />
|1,032,970<br />
|TBD<br />
|TBD<br />
|-<br />
|<br />
35xxxx -<br/><br />
39xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|4,894,047<br />
|{{TM|1RB1RZ_1LC0RF_0LD1LB_1RD0LE_1RB1LE_1RG0RE_0RA0LE}}<br />
|10 ↑↑ 192.67<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|40xxxx<br />
| rowspan="6" |Andrew Ducharme<br />
|Yes<br />
|Yes<br />
|730,310<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
| rowspan="6" |[https://drive.google.com/drive/folders/16uDjgOahkhAMWv3v-YWmxJG7xxsBvj4h?usp=sharing Google Drive folder]<br />
|-<br />
|41xxxx<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|42xxxx<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|43xxxx<br />
|Yes<br />
|Yes<br />
|817,332<br />
|{{TM|1RB0LE_1RC1RA_1RD0RG_1LA1RZ_1RA1LF_1LA0LE_0RF1RG}}<br />
|10 ↑↑ 93.81<br />
|-<br />
|44xxxx<br />
|Yes<br />
|Yes<br />
|729,686<br />
|{{TM|1RB1LC_1RC0RC_1RD1LA_0RE1RF_1LC0LG_1LA1LE_1RZ1LF}}<br />
|10 ↑↑ 76.36<br />
|-<br />
|45xxxx<br />
|Yes<br />
|Yes<br />
|812,973<br />
|{{TM|1RB0RE_0RC1LC_0LD1LF_1LE0LG_1RA0RC_0LB1LA_1LB1RZ}}<br />
|10 ↑↑ 114.57<br />
|-<br />
|49xxxx<br />
|Tobiáš Brichta<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|[https://drive.google.com/drive/folders/1-csgJ5uSIX3SKlqTkSnhkUuEYLKgCw81 Google Drive folder]<br />
|-<br />
|500xxx<br />
|rowspan="2"|@prurq<br />
|Yes<br />
|Yes<br />
|120,520<br />
|{{TM|1RB0RD_1RC0RA_0RD1LD_0LE1LF_1LA0LG_0LC1LB_1LC1RZ}}<br />
|10 ↑↑ 115.52<br />
|rowspan="2"|[https://drive.google.com/drive/folders/145H4sT4F9KJYGSrlIETZdBOIMR7krLQm Google Drive folder]<br />
|-<br />
|501xxx<br />
|Yes<br />
|No<br />
|96,102<br />
|TBD<br />
|TBD<br />
|-<br />
|60xxxx<br />
| rowspan="4" |@gerbil5709<br />
|Yes<br />
|No<br />
|957,769<br />
|<br />
|<br />
| rowspan="4" |[https://drive.google.com/drive/folders/1kAvBebeF09CEVocCk5bGKlDJfRN8co_i?usp=sharing Google Drive folder]<br />
|-<br />
|61xxxx<br />
|Yes<br />
|No<br />
|1,052,047<br />
|TBD<br />
|TBD<br />
|-<br />
|62xxxx<br />
|Yes<br />
|No<br />
|959,753 <br />
|TBD<br />
|TBD<br />
|-<br />
|63xxxx<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|68xxxx<br />
|Terry Ligocki<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|69xxxx<br />
|@poppuncher<br />
|Yes<br />
|Yes<br />
|1,053,119<br />
|{{TM|1RB0LG_0RC1RZ_1LD0LA_1RE1LE_1LC1RF_0RE0RA_0RF1LG}}<br />
|10 ↑↑ 133.85<br />
|[https://drive.google.com/drive/folders/1KlCZqXxqVPuBPkDcCBocuMPA8paq9b8P?usp=drive_link Google Drive folder]<br />
|-<br />
|70xxxx<br />
|@hipparcos<br />
|Yes<br />
|Yes<br />
|798,304<br />
|<br />
{{TM|1RB0LF_1RC1LE_0RD1RA_1RE1RG_0LA1LB_1LE1RG_0RC1RZ}}<br/><br />
{{TM|1RB0LF_1LC1LE_1RE0LD_0LC0LA_1LB1RA_0LG0RC_1RZ0LA}}<br />
|<br />
10 ↑↑ 33.81<br/><br />
10 ↑↑ 26.63<br />
|[https://github.com/jhuang97/bb7x2/releases/tag/70xxxx Github release]<br />
|-<br />
|71xxxx<br />
|@hipparcos<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|<br />
|-<br />
|75xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|1,103,089<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_0RF0LF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|80xxxx<br />
|@xnoobspeakable<br />
|Yes<br />
|No<br />
|964,396<br />
|TBD<br />
|TBD<br />
| rowspan="2" |[https://drive.google.com/drive/folders/1TpuEC7KottEmvsFnCREugnlVMPaY5ZHi?usp=sharing Google Drive folder]<br />
|-<br />
|81xxxx<br />
|@xnoobspeakable<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|<br />
85xxxx -<br/><br />
9xxxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|13,396,923<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|}<br />
[[Category:BB Domain]]</div>
Gerbil
https://wiki.bbchallenge.org/w/index.php?title=BB(7)&diff=2163
BB(7)
2025-06-08T21:33:36Z
<p>Gerbil: /* Current Progress */</p>
<hr />
<div>The 7-state, 2-symbol Busy Beaver problem '''BB(7)''' is a mostly unexplored domain with only preliminary information.<br />
<br />
The current BB(7) champion is {{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}} discovered by Pavel Kropitz in 2025 proving the lower bound:<math display="block">S(7) > \Sigma(7) > 2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
<br />
== History ==<br />
Before 2025, the only known BB(7) champions were produced by hand, not by search. Example, Milton Green designed a machine in 1964 that had [[sigma score]] 22,961 and Wythagoras modified a BB(6) champion in 2014 to produce a machine that had sigma score <math>> 10 \uparrow\uparrow 5</math>.<br />
<br />
In May 2025, mxdys shared [https://github.com/ccz181078/TM C++ code] that breaks up the BB(7) enumeration into 1 million subtasks which each run for about 2 minutes and leave ~100 holdouts each. Various folks on Discord have been investigating different sections of this domain to search for champions.<br />
<br />
Within three days of the code's release, the Ligockis found three champions after applying their deciders to enumerator output. Shawn Ligocki found the first two, {{TM|1RB0RF_1LC0RE_1RD1LB_1LA1LD_0RA0LE_1RG0LB_1RZ1RB}} and {{TM|1RB1RA_1RC0LC_0LD1LG_1LF0LE_1RZ1LF_0LA1LD_1RA1LC}}, with sigma scores of approximately 10 ↑↑ 22 and 10 ↑↑ 35. That evening, Terry Ligocki found {{TM|1RB0LG_1RC0RF_1LD1RZ_1LF0LE_1RA1LD_1LG1RE_0LB0LB}}, with sigma score ~10 ↑↑ 46. These were all outpaced by Pavel's champion.<br />
<br />
== Top Halters ==<br />
Based on limited search through a subset of the 1 million subtasks from mxdys's code, the top 20 scoring known machines are:<br />
{| class="wikitable"<br />
!TM<br />
!Approximate sigma score<br />
!Discoverer<br />
|-<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
|Pavel Kropitz<br />
|-<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|@Iijil<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LG_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RG0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LF0RF_0RA1RE_1RZ0RE}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LF0RF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_1LG1RE_1LF0RF_0RA1RE_1RZ0RA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_1LG1RE_1LD0RF_0RA1RE_1RZ0RA}}<br />
|10 ↑↑ 188.28<br />
|@XnoobSpeakable, @Peacemaker II<br />
|-<br />
|{{TM|1RB0LG_0RC1RZ_1LD0LA_1RE1LE_1LC1RF_0RE0RA_0RF1LG}}<br />
|10 ↑↑ 133.85<br />
|@poppuncher<br />
|-<br />
|{{TM|1RB1RZ_1RC0RF_1LD1RB_1RG0LE_1LD0RA_1RE0LD_0RC1LF}}<br />
|10 ↑↑ 129.24<br />
|@Iijil<br />
|-<br />
|{{TM|1RB1LF_1RC1RA_1LD0LD_1LA1LE_0LA0LD_1LG0RF_0LE1RZ}}<br />
|10 ↑↑ 116.97<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0RD_1RC0LA_0LA0LE_1RE1RZ_1RF0RA_1LG0LE_1LC0LG}}<br />
|10 ↑↑ 116.05<br />
|<br />
|-<br />
|{{TM|1RB0RD_1RC0RA_0RD1LD_0LE1LF_1LA0LG_0LC1LB_1LC1RZ}}<br />
|10 ↑↑ 115.52<br />
|@prurq<br />
|-<br />
|{{TM|1RB0RF_1RC0RB_0RD0RF_1LE0LG_1LC0RD_1LA0LD_1LF1RZ}}<br />
|10 ↑↑ 114.61<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RE_1LC0LA_1LD0LC_0LE0LA_1RF0RG_1RD0LE_1RA1RZ}}<br />
|10 ↑↑ 114.60<br />
|Shawn Ligocki<br />
|-<br />
|{{TM|1RB0RE_0RC1LC_0LD1LF_1LE0LG_1RA0RC_0LB1LA_1LB1RZ}}<br />
|10 ↑↑ 114.57<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RG_1LC0LE_1LD0LB_1RB1RE_0RA1RF_0RD1RC_1RD1RZ}}<br />
|10 ↑↑ 113.37<br />
|Terry Ligocki<br />
|}<br />
The top 20 known halters with unique scores are:<br />
{| class="wikitable"<br />
!TM<br />
!Approximate sigma score<br />
!Discoverer<br />
|-<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
|Pavel Kropitz<br />
|-<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|@Iijil<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LG_0RC1RZ_1LD0LA_1RE1LE_1LC1RF_0RE0RA_0RF1LG}}<br />
|10 ↑↑ 133.85<br />
|@poppuncher<br />
|-<br />
|{{TM|1RB1RZ_1RC0RF_1LD1RB_1RG0LE_1LD0RA_1RE0LD_0RC1LF}}<br />
|10 ↑↑ 129.24<br />
|@Iijil<br />
|-<br />
|{{TM|1RB1LF_1RC1RA_1LD0LD_1LA1LE_0LA0LD_1LG0RF_0LE1RZ}}<br />
|10 ↑↑ 116.97<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0RD_1RC0LA_0LA0LE_1RE1RZ_1RF0RA_1LG0LE_1LC0LG}}<br />
|10 ↑↑ 116.05<br />
|<br />
|-<br />
|{{TM|1RB0RD_1RC0RA_0RD1LD_0LE1LF_1LA0LG_0LC1LB_1LC1RZ}}<br />
|10 ↑↑ 115.52<br />
|@prurq<br />
|-<br />
|{{TM|1RB0RF_1RC0RB_0RD0RF_1LE0LG_1LC0RD_1LA0LD_1LF1RZ}}<br />
|10 ↑↑ 114.61<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RE_1LC0LA_1LD0LC_0LE0LA_1RF0RG_1RD0LE_1RA1RZ}}<br />
|10 ↑↑ 114.60<br />
|Shawn Ligocki<br />
|-<br />
|{{TM|1RB0RE_0RC1LC_0LD1LF_1LE0LG_1RA0RC_0LB1LA_1LB1RZ}}<br />
|10 ↑↑ 114.57<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RG_1LC0LE_1LD0LB_1RB1RE_0RA1RF_0RD1RC_1RD1RZ}}<br />
|10 ↑↑ 113.37<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1RC1RA_1RD0RB_1LE0RC_1LF0LD_1RG0LF_1RC0LG}}<br />
|10 ↑↑ 108.77<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LE_1RC1RA_1RD0RG_1LA1RZ_1RA1LF_1LA0LE_0RF1RG}}<br />
|10 ↑↑ 93.81<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RF_1LC0LD_1RC0LB_1LE1RG_1RA1RE_1RD0RD_0RA1RZ}}<br />
|10 ↑↑ 93.78<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1LB_1LC1RE_1RD1RC_0RE0RD_1LF0RB_1LF1LG_1RZ0LA}}<br />
|10 ↑↑ 86.40<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1LC_1RC0LG_1RD0RG_0LE0RA_1LC0LF_0LD1LF_1RZ1RA}}<br />
|10 ↑↑ 82.44<br />
|Terry Ligocki<br />
|}<br />
<br />
== Current Progress ==<br />
This is a summary of the 1 million subtasks from mxdys's code that have been processed, including further processing by Shawn Ligocki's linear rule code ("TBD" = "To Be Determined", "TBE" = "To Be Entered"):<br />
{| class="wikitable defaultleft"<br />
!rowspan="2"|Task range<br />
!rowspan="2"|Done by<br />
!colspan="2"|Completed<br />
!rowspan="2"|# holdouts<br />
!rowspan="2"|Maximum Score TM<br />
!rowspan="2"|~Sigma<br />
!rowspan="2"|Source<br />
|-<br />
!enumeration<br />
!linear rule<br />
|-<br />
|00xxxx<br />
|rowspan="10"|@Iijil<br />
|Yes<br />
|Yes<br />
|728,495<br />
|{{TM|1RB0RF_1RC1LF_0RD0RD_1LE0LB_1RA1RZ_1LG1RA_1LD0RC}}<br />
|10 ↑↑ 45.64<br />
|rowspan="10"|[https://drive.google.com/drive/folders/1wniwrAuvsHfkvro8Tg65WAMNZEuIekzD Google Drive folder]<br />
|-<br />
|01xxxx<br />
|Yes<br />
|Yes<br />
|817,178<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|-<br />
|02xxxx<br />
|Yes<br />
|No<br />
|963,486<br />
|TBD<br />
|TBD<br />
|-<br />
|03xxxx<br />
|Yes<br />
|No<br />
|1,052,504<br />
|TBD<br />
|TBD<br />
|-<br />
|04xxxx<br />
|Yes<br />
|No<br />
|955,711<br />
|TBD<br />
|TBD<br />
|-<br />
|05xxxx<br />
|Yes<br />
|No<br />
|1,056,745<br />
|TBD<br />
|TBD<br />
|-<br />
|06xxxx<br />
|Yes<br />
|No<br />
|950,271<br />
|TBD<br />
|TBD<br />
|-<br />
|07xxxx<br />
|Yes<br />
|No<br />
|1,053,750<br />
|TBD<br />
|TBD<br />
|-<br />
|08xxxx<br />
|Yes<br />
|No<br />
|951,114<br />
|TBD<br />
|TBD<br />
|-<br />
|09xxxx<br />
|Yes<br />
|No<br />
|1,052,362<br />
|TBD<br />
|TBD<br />
|-<br />
|13xxxx<br />
|Shawn Ligocki<br />
|Yes<br />
|Yes<br />
|1,192,442<br />
|{{TM|1RB0RE_1LC0LA_1LD0LC_0LE0LA_1RF0RG_1RD0LE_1RA1RZ}}<br />
|10 ↑↑ 114.60<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|<br />
20xxxx -<br/><br />
21xxxx<br />
|@C7X<br />
|Yes<br />
|No<br />
|2,013,389<br />
|TBD<br />
|TBD<br />
|[https://drive.google.com/drive/folders/11iGTKsvu2Y7aFrwOcWS1LYvcN6i_7-JM?usp=sharing Google Drive folder]<br />
|-<br />
|243308<br />
|@uni<br />
|Yes<br />
|No<br />
|TBE<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
|[https://discord.com/channels/960643023006490684/1369339127652159509/1373660959960469545 Discord post]<br />
|-<br />
|25xxxx<br />
|rowspan="10"|@stokastic<br />
|Yes<br />
|Yes<br />
|815,919<br />
|{{TM|1RB1RZ_1LC0LE_0LD0LC_0RE1LB_1RF0RG_0LD1RB_1RD1RA}}<br />
|10 ↑↑ 31.33<br />
|rowspan="10"|[https://drive.google.com/drive/folders/16_qIdWWD-wolj6zURB5ZSbY-otI4zoUF?usp=sharing Google Drive folder] <br />
|-<br />
|26xxxx<br />
|Yes<br />
|Yes<br />
|731,995<br />
|1RB1RZ_0LC1RB_0LE0LD_1LE1LD_0RF0LC_0RG1RF_1RD0RA ([https://bbchallenge.org/1RB1RZ_0LC1RB_0LE0LD_1LE1LD_0RF0LC_0RG1RF_1RD0RA bbch])<br />
|10 ↑↑ 36.26<br />
|-<br />
|27xxxx<br />
|Yes<br />
|Yes<br />
|811,486<br />
|1RB0RG_1LC1LB_0RE0LD_0LC1RF_0RA1RE_0LF0LB_1RF1RZ ([https://bbchallenge.org/1RB0RG_1LC1LB_0RE0LD_0LC1RF_0RA1RE_0LF0LB_1RF1RZ bbch])<br />
|10 ↑↑ 63.56<br />
|-<br />
|28xxxx<br />
|Yes<br />
|No<br />
|956,935<br />
|TBD<br />
|TBD<br />
|-<br />
|29xxxx<br />
|Yes<br />
|No<br />
|1,052,415<br />
|TBD<br />
|TBD<br />
|-<br />
|30xxxx<br />
|Yes<br />
|No<br />
|1,032,095<br />
|TBD<br />
|TBD<br />
|-<br />
|31xxxx<br />
|Yes<br />
|No<br />
|1,436,970<br />
|TBD<br />
|TBD<br />
|-<br />
|32xxxx<br />
|Yes<br />
|No<br />
|1,036,950<br />
|TBD<br />
|TBD<br />
|-<br />
|33xxxx<br />
|Yes<br />
|No<br />
|1,432,081<br />
|TBD<br />
|TBD<br />
|-<br />
|34xxxx<br />
|Yes<br />
|No<br />
|1,032,970<br />
|TBD<br />
|TBD<br />
|-<br />
|<br />
35xxxx -<br/><br />
39xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|4,894,047<br />
|{{TM|1RB1RZ_1LC0RF_0LD1LB_1RD0LE_1RB1LE_1RG0RE_0RA0LE}}<br />
|10 ↑↑ 192.67<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|40xxxx<br />
| rowspan="6" |Andrew Ducharme<br />
|Yes<br />
|Yes<br />
|730,310<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
| rowspan="6" |[https://drive.google.com/drive/folders/16uDjgOahkhAMWv3v-YWmxJG7xxsBvj4h?usp=sharing Google Drive folder]<br />
|-<br />
|41xxxx<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|42xxxx<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|43xxxx<br />
|Yes<br />
|Yes<br />
|817,332<br />
|{{TM|1RB0LE_1RC1RA_1RD0RG_1LA1RZ_1RA1LF_1LA0LE_0RF1RG}}<br />
|10 ↑↑ 93.81<br />
|-<br />
|44xxxx<br />
|Yes<br />
|Yes<br />
|729,686<br />
|{{TM|1RB1LC_1RC0RC_1RD1LA_0RE1RF_1LC0LG_1LA1LE_1RZ1LF}}<br />
|10 ↑↑ 76.36<br />
|-<br />
|45xxxx<br />
|Yes<br />
|Yes<br />
|812,973<br />
|{{TM|1RB0RE_0RC1LC_0LD1LF_1LE0LG_1RA0RC_0LB1LA_1LB1RZ}}<br />
|10 ↑↑ 114.57<br />
|-<br />
|49xxxx<br />
|Tobiáš Brichta<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|[https://drive.google.com/drive/folders/1-csgJ5uSIX3SKlqTkSnhkUuEYLKgCw81 Google Drive folder]<br />
|-<br />
|500xxx<br />
|rowspan="2"|@prurq<br />
|Yes<br />
|Yes<br />
|120,520<br />
|{{TM|1RB0RD_1RC0RA_0RD1LD_0LE1LF_1LA0LG_0LC1LB_1LC1RZ}}<br />
|10 ↑↑ 115.52<br />
|rowspan="2"|[https://drive.google.com/drive/folders/145H4sT4F9KJYGSrlIETZdBOIMR7krLQm Google Drive folder]<br />
|-<br />
|501xxx<br />
|Yes<br />
|No<br />
|96,102<br />
|TBD<br />
|TBD<br />
|-<br />
|60xxxx<br />
| rowspan="4" |@gerbil5709<br />
|Yes<br />
|No<br />
|957,769<br />
|1RB0LC_1RC0RF_1LD0RB_0LA0LE_1LA1LA_1RG1RZ_1RC1RE<br />
|10↑↑50.279<br />
| rowspan="4" |[https://drive.google.com/drive/folders/1kAvBebeF09CEVocCk5bGKlDJfRN8co_i?usp=sharing Google Drive folder]<br />
|-<br />
|61xxxx<br />
|Yes<br />
|No<br />
|1,052,047<br />
|TBD<br />
|TBD<br />
|-<br />
|62xxxx<br />
|Yes<br />
|No<br />
|959,753 <br />
|TBD<br />
|TBD<br />
|-<br />
|63xxxx<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|68xxxx<br />
|Terry Ligocki<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|69xxxx<br />
|@poppuncher<br />
|Yes<br />
|Yes<br />
|1,053,119<br />
|{{TM|1RB0LG_0RC1RZ_1LD0LA_1RE1LE_1LC1RF_0RE0RA_0RF1LG}}<br />
|10 ↑↑ 133.85<br />
|[https://drive.google.com/drive/folders/1KlCZqXxqVPuBPkDcCBocuMPA8paq9b8P?usp=drive_link Google Drive folder]<br />
|-<br />
|70xxxx<br />
|@hipparcos<br />
|Yes<br />
|Yes<br />
|798,304<br />
|<br />
{{TM|1RB0LF_1RC1LE_0RD1RA_1RE1RG_0LA1LB_1LE1RG_0RC1RZ}}<br/><br />
{{TM|1RB0LF_1LC1LE_1RE0LD_0LC0LA_1LB1RA_0LG0RC_1RZ0LA}}<br />
|<br />
10 ↑↑ 33.81<br/><br />
10 ↑↑ 26.63<br />
|[https://github.com/jhuang97/bb7x2/releases/tag/70xxxx Github release]<br />
|-<br />
|71xxxx<br />
|@hipparcos<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|<br />
|-<br />
|75xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|1,103,089<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_0RF0LF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|80xxxx<br />
|@xnoobspeakable<br />
|Yes<br />
|No<br />
|964,396<br />
|TBD<br />
|TBD<br />
| rowspan="2" |[https://drive.google.com/drive/folders/1TpuEC7KottEmvsFnCREugnlVMPaY5ZHi?usp=sharing Google Drive folder]<br />
|-<br />
|81xxxx<br />
|@xnoobspeakable<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|<br />
85xxxx -<br/><br />
9xxxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|13,396,923<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|}<br />
[[Category:BB Domain]]</div>
Gerbil
https://wiki.bbchallenge.org/w/index.php?title=BB(7)&diff=2159
BB(7)
2025-06-08T04:43:02Z
<p>Gerbil: /* Current Progress */</p>
<hr />
<div>The 7-state, 2-symbol Busy Beaver problem '''BB(7)''' is a mostly unexplored domain with only preliminary information.<br />
<br />
The current BB(7) champion is {{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}} discovered by Pavel Kropitz in 2025 proving the lower bound:<math display="block">S(7) > \Sigma(7) > 2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
<br />
== History ==<br />
Before 2025, the only known BB(7) champions were produced by hand, not by search. Example, Milton Green designed a machine in 1964 that had [[sigma score]] 22,961 and Wythagoras modified a BB(6) champion in 2014 to produce a machine that had sigma score <math>> 10 \uparrow\uparrow 5</math>.<br />
<br />
In May 2025, mxdys shared [https://github.com/ccz181078/TM C++ code] that breaks up the BB(7) enumeration into 1 million subtasks which each run for about 2 minutes and leave ~100 holdouts each. Various folks on Discord have been investigating different sections of this domain to search for champions.<br />
<br />
Within three days of the code's release, the Ligockis found three champions after applying their deciders to enumerator output. Shawn Ligocki found the first two, {{TM|1RB0RF_1LC0RE_1RD1LB_1LA1LD_0RA0LE_1RG0LB_1RZ1RB}} and {{TM|1RB1RA_1RC0LC_0LD1LG_1LF0LE_1RZ1LF_0LA1LD_1RA1LC}}, with sigma scores of approximately 10 ↑↑ 22 and 10 ↑↑ 35. That evening, Terry Ligocki found {{TM|1RB0LG_1RC0RF_1LD1RZ_1LF0LE_1RA1LD_1LG1RE_0LB0LB}}, with sigma score ~10 ↑↑ 46. These were all outpaced by Pavel's champion.<br />
<br />
== Top Halters ==<br />
Based on limited search through a subset of the 1 million subtasks from mxdys's code, the top 20 scoring known machines are:<br />
{| class="wikitable"<br />
!TM<br />
!Approximate sigma score<br />
!Discoverer<br />
|-<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
|Pavel Kropitz<br />
|-<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|@Iijil<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LG_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RG0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LF0RF_0RA1RE_1RZ0RE}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LF0RF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_1LG1RE_1LF0RF_0RA1RE_1RZ0RA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_1LG1RE_1LD0RF_0RA1RE_1RZ0RA}}<br />
|10 ↑↑ 188.28<br />
|@XnoobSpeakable, @Peacemaker II<br />
|-<br />
|{{TM|1RB0LG_0RC1RZ_1LD0LA_1RE1LE_1LC1RF_0RE0RA_0RF1LG}}<br />
|10 ↑↑ 133.85<br />
|@poppuncher<br />
|-<br />
|{{TM|1RB1RZ_1RC0RF_1LD1RB_1RG0LE_1LD0RA_1RE0LD_0RC1LF}}<br />
|10 ↑↑ 129.24<br />
|@Iijil<br />
|-<br />
|{{TM|1RB1LF_1RC1RA_1LD0LD_1LA1LE_0LA0LD_1LG0RF_0LE1RZ}}<br />
|10 ↑↑ 116.97<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0RD_1RC0LA_0LA0LE_1RE1RZ_1RF0RA_1LG0LE_1LC0LG}}<br />
|10 ↑↑ 116.05<br />
|<br />
|-<br />
|{{TM|1RB0RD_1RC0RA_0RD1LD_0LE1LF_1LA0LG_0LC1LB_1LC1RZ}}<br />
|10 ↑↑ 115.52<br />
|@prurq<br />
|-<br />
|{{TM|1RB0RF_1RC0RB_0RD0RF_1LE0LG_1LC0RD_1LA0LD_1LF1RZ}}<br />
|10 ↑↑ 114.61<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RE_1LC0LA_1LD0LC_0LE0LA_1RF0RG_1RD0LE_1RA1RZ}}<br />
|10 ↑↑ 114.60<br />
|Shawn Ligocki<br />
|-<br />
|{{TM|1RB0RE_0RC1LC_0LD1LF_1LE0LG_1RA0RC_0LB1LA_1LB1RZ}}<br />
|10 ↑↑ 114.57<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RG_1LC0LE_1LD0LB_1RB1RE_0RA1RF_0RD1RC_1RD1RZ}}<br />
|10 ↑↑ 113.37<br />
|Terry Ligocki<br />
|}<br />
The top 20 known halters with unique scores are:<br />
{| class="wikitable"<br />
!TM<br />
!Approximate sigma score<br />
!Discoverer<br />
|-<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
|Pavel Kropitz<br />
|-<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|@Iijil<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LG_0RC1RZ_1LD0LA_1RE1LE_1LC1RF_0RE0RA_0RF1LG}}<br />
|10 ↑↑ 133.85<br />
|@poppuncher<br />
|-<br />
|{{TM|1RB1RZ_1RC0RF_1LD1RB_1RG0LE_1LD0RA_1RE0LD_0RC1LF}}<br />
|10 ↑↑ 129.24<br />
|@Iijil<br />
|-<br />
|{{TM|1RB1LF_1RC1RA_1LD0LD_1LA1LE_0LA0LD_1LG0RF_0LE1RZ}}<br />
|10 ↑↑ 116.97<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0RD_1RC0LA_0LA0LE_1RE1RZ_1RF0RA_1LG0LE_1LC0LG}}<br />
|10 ↑↑ 116.05<br />
|<br />
|-<br />
|{{TM|1RB0RD_1RC0RA_0RD1LD_0LE1LF_1LA0LG_0LC1LB_1LC1RZ}}<br />
|10 ↑↑ 115.52<br />
|@prurq<br />
|-<br />
|{{TM|1RB0RF_1RC0RB_0RD0RF_1LE0LG_1LC0RD_1LA0LD_1LF1RZ}}<br />
|10 ↑↑ 114.61<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RE_1LC0LA_1LD0LC_0LE0LA_1RF0RG_1RD0LE_1RA1RZ}}<br />
|10 ↑↑ 114.60<br />
|Shawn Ligocki<br />
|-<br />
|{{TM|1RB0RE_0RC1LC_0LD1LF_1LE0LG_1RA0RC_0LB1LA_1LB1RZ}}<br />
|10 ↑↑ 114.57<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RG_1LC0LE_1LD0LB_1RB1RE_0RA1RF_0RD1RC_1RD1RZ}}<br />
|10 ↑↑ 113.37<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1RC1RA_1RD0RB_1LE0RC_1LF0LD_1RG0LF_1RC0LG}}<br />
|10 ↑↑ 108.77<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LE_1RC1RA_1RD0RG_1LA1RZ_1RA1LF_1LA0LE_0RF1RG}}<br />
|10 ↑↑ 93.81<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RF_1LC0LD_1RC0LB_1LE1RG_1RA1RE_1RD0RD_0RA1RZ}}<br />
|10 ↑↑ 93.78<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1LB_1LC1RE_1RD1RC_0RE0RD_1LF0RB_1LF1LG_1RZ0LA}}<br />
|10 ↑↑ 86.40<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1LC_1RC0LG_1RD0RG_0LE0RA_1LC0LF_0LD1LF_1RZ1RA}}<br />
|10 ↑↑ 82.44<br />
|Terry Ligocki<br />
|}<br />
<br />
== Current Progress ==<br />
This is a summary of the 1 million subtasks from mxdys's code that have been processed, including further processing by Shawn Ligocki's linear rule code ("TBD" = "To Be Determined", "TBE" = "To Be Entered"):<br />
{| class="wikitable defaultleft"<br />
!rowspan="2"|Task range<br />
!rowspan="2"|Done by<br />
!colspan="2"|Completed<br />
!rowspan="2"|# holdouts<br />
!rowspan="2"|Maximum Score TM<br />
!rowspan="2"|~Sigma<br />
!rowspan="2"|Source<br />
|-<br />
!enumeration<br />
!linear rule<br />
|-<br />
|00xxxx<br />
|rowspan="10"|@Iijil<br />
|Yes<br />
|Yes<br />
|728,495<br />
|{{TM|1RB0RF_1RC1LF_0RD0RD_1LE0LB_1RA1RZ_1LG1RA_1LD0RC}}<br />
|10 ↑↑ 45.64<br />
|rowspan="10"|[https://drive.google.com/drive/folders/1wniwrAuvsHfkvro8Tg65WAMNZEuIekzD Google Drive folder]<br />
|-<br />
|01xxxx<br />
|Yes<br />
|Yes<br />
|817,178<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|-<br />
|02xxxx<br />
|Yes<br />
|No<br />
|963,486<br />
|TBD<br />
|TBD<br />
|-<br />
|03xxxx<br />
|Yes<br />
|No<br />
|1,052,504<br />
|TBD<br />
|TBD<br />
|-<br />
|04xxxx<br />
|Yes<br />
|No<br />
|955,711<br />
|TBD<br />
|TBD<br />
|-<br />
|05xxxx<br />
|Yes<br />
|No<br />
|1,056,745<br />
|TBD<br />
|TBD<br />
|-<br />
|06xxxx<br />
|Yes<br />
|No<br />
|950,271<br />
|TBD<br />
|TBD<br />
|-<br />
|07xxxx<br />
|Yes<br />
|No<br />
|1,053,750<br />
|TBD<br />
|TBD<br />
|-<br />
|08xxxx<br />
|Yes<br />
|No<br />
|951,114<br />
|TBD<br />
|TBD<br />
|-<br />
|09xxxx<br />
|Yes<br />
|No<br />
|1,052,362<br />
|TBD<br />
|TBD<br />
|-<br />
|13xxxx<br />
|Shawn Ligocki<br />
|Yes<br />
|Yes<br />
|1,192,442<br />
|{{TM|1RB0RE_1LC0LA_1LD0LC_0LE0LA_1RF0RG_1RD0LE_1RA1RZ}}<br />
|10 ↑↑ 114.60<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|<br />
20xxxx -<br/><br />
21xxxx<br />
|@C7X<br />
|Yes<br />
|No<br />
|2,013,389<br />
|TBD<br />
|TBD<br />
|[https://drive.google.com/drive/folders/11iGTKsvu2Y7aFrwOcWS1LYvcN6i_7-JM?usp=sharing Google Drive folder]<br />
|-<br />
|243308<br />
|@uni<br />
|Yes<br />
|No<br />
|TBE<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
|[https://discord.com/channels/960643023006490684/1369339127652159509/1373660959960469545 Discord post]<br />
|-<br />
|25xxxx<br />
|rowspan="10"|@stokastic<br />
|Yes<br />
|Yes<br />
|815,919<br />
|{{TM|1RB1RZ_1LC0LE_0LD0LC_0RE1LB_1RF0RG_0LD1RB_1RD1RA}}<br />
|10 ↑↑ 31.33<br />
|rowspan="10"|[https://drive.google.com/drive/folders/16_qIdWWD-wolj6zURB5ZSbY-otI4zoUF?usp=sharing Google Drive folder] <br />
|-<br />
|26xxxx<br />
|Yes<br />
|Yes<br />
|731,995<br />
|1RB1RZ_0LC1RB_0LE0LD_1LE1LD_0RF0LC_0RG1RF_1RD0RA ([https://bbchallenge.org/1RB1RZ_0LC1RB_0LE0LD_1LE1LD_0RF0LC_0RG1RF_1RD0RA bbch])<br />
|10 ↑↑ 36.26<br />
|-<br />
|27xxxx<br />
|Yes<br />
|Yes<br />
|811,486<br />
|1RB0RG_1LC1LB_0RE0LD_0LC1RF_0RA1RE_0LF0LB_1RF1RZ ([https://bbchallenge.org/1RB0RG_1LC1LB_0RE0LD_0LC1RF_0RA1RE_0LF0LB_1RF1RZ bbch])<br />
|10 ↑↑ 63.56<br />
|-<br />
|28xxxx<br />
|Yes<br />
|No<br />
|956,935<br />
|TBD<br />
|TBD<br />
|-<br />
|29xxxx<br />
|Yes<br />
|No<br />
|1,052,415<br />
|TBD<br />
|TBD<br />
|-<br />
|30xxxx<br />
|Yes<br />
|No<br />
|1,032,095<br />
|TBD<br />
|TBD<br />
|-<br />
|31xxxx<br />
|Yes<br />
|No<br />
|1,436,970<br />
|TBD<br />
|TBD<br />
|-<br />
|32xxxx<br />
|Yes<br />
|No<br />
|1,036,950<br />
|TBD<br />
|TBD<br />
|-<br />
|33xxxx<br />
|Yes<br />
|No<br />
|1,432,081<br />
|TBD<br />
|TBD<br />
|-<br />
|34xxxx<br />
|Yes<br />
|No<br />
|1,032,970<br />
|TBD<br />
|TBD<br />
|-<br />
|<br />
35xxxx -<br/><br />
39xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|4,894,047<br />
|{{TM|1RB1RZ_1LC0RF_0LD1LB_1RD0LE_1RB1LE_1RG0RE_0RA0LE}}<br />
|10 ↑↑ 192.67<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|40xxxx<br />
| rowspan="6" |Andrew Ducharme<br />
|Yes<br />
|Yes<br />
|730,310<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
| rowspan="6" |[https://drive.google.com/drive/folders/16uDjgOahkhAMWv3v-YWmxJG7xxsBvj4h?usp=sharing Google Drive folder]<br />
|-<br />
|41xxxx<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|42xxxx<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|43xxxx<br />
|Yes<br />
|Yes<br />
|817,332<br />
|{{TM|1RB0LE_1RC1RA_1RD0RG_1LA1RZ_1RA1LF_1LA0LE_0RF1RG}}<br />
|10 ↑↑ 93.81<br />
|-<br />
|44xxxx<br />
|Yes<br />
|Yes<br />
|729,686<br />
|{{TM|1RB1LC_1RC0RC_1RD1LA_0RE1RF_1LC0LG_1LA1LE_1RZ1LF}}<br />
|10 ↑↑ 76.36<br />
|-<br />
|45xxxx<br />
|Yes<br />
|Yes<br />
|812,973<br />
|{{TM|1RB0RE_0RC1LC_0LD1LF_1LE0LG_1RA0RC_0LB1LA_1LB1RZ}}<br />
|10 ↑↑ 114.57<br />
|-<br />
|49xxxx<br />
|Tobiáš Brichta<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|[https://drive.google.com/drive/folders/1-csgJ5uSIX3SKlqTkSnhkUuEYLKgCw81 Google Drive folder]<br />
|-<br />
|500xxx<br />
|rowspan="2"|@prurq<br />
|Yes<br />
|Yes<br />
|120,520<br />
|{{TM|1RB0RD_1RC0RA_0RD1LD_0LE1LF_1LA0LG_0LC1LB_1LC1RZ}}<br />
|10 ↑↑ 115.52<br />
|rowspan="2"|[https://drive.google.com/drive/folders/145H4sT4F9KJYGSrlIETZdBOIMR7krLQm Google Drive folder]<br />
|-<br />
|501xxx<br />
|Yes<br />
|No<br />
|96,102<br />
|TBD<br />
|TBD<br />
|-<br />
|60xxxx<br />
| rowspan="4" |@gerbil5709<br />
|Yes<br />
|No<br />
|957,769<br />
|TBD<br />
|TBD<br />
| rowspan="4" |[https://drive.google.com/drive/folders/1kAvBebeF09CEVocCk5bGKlDJfRN8co_i?usp=sharing Google Drive folder]<br />
|-<br />
|61xxxx<br />
|Yes<br />
|No<br />
|1,052,047<br />
|TBD<br />
|TBD<br />
|-<br />
|62xxxx<br />
|Yes<br />
|No<br />
|959,753 <br />
|TBD<br />
|TBD<br />
|-<br />
|63xxxx<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|68xxxx<br />
|Terry Ligocki<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|69xxxx<br />
|@poppuncher<br />
|Yes<br />
|Yes<br />
|1,053,119<br />
|{{TM|1RB0LG_0RC1RZ_1LD0LA_1RE1LE_1LC1RF_0RE0RA_0RF1LG}}<br />
|10 ↑↑ 133.85<br />
|[https://drive.google.com/drive/folders/1KlCZqXxqVPuBPkDcCBocuMPA8paq9b8P?usp=drive_link Google Drive folder]<br />
|-<br />
|70xxxx<br />
|@hipparcos<br />
|Yes<br />
|Yes<br />
|798,304<br />
|<br />
{{TM|1RB0LF_1RC1LE_0RD1RA_1RE1RG_0LA1LB_1LE1RG_0RC1RZ}}<br/><br />
{{TM|1RB0LF_1LC1LE_1RE0LD_0LC0LA_1LB1RA_0LG0RC_1RZ0LA}}<br />
|<br />
10 ↑↑ 33.81<br/><br />
10 ↑↑ 26.63<br />
|[https://github.com/jhuang97/bb7x2/releases/tag/70xxxx Github release]<br />
|-<br />
|71xxxx<br />
|@hipparcos<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|<br />
|-<br />
|75xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|1,103,089<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_0RF0LF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|80xxxx<br />
|@xnoobspeakable<br />
|Yes<br />
|No<br />
|964,396<br />
|TBD<br />
|TBD<br />
| rowspan="2" |[https://drive.google.com/drive/folders/1TpuEC7KottEmvsFnCREugnlVMPaY5ZHi?usp=sharing Google Drive folder]<br />
|-<br />
|81xxxx<br />
|@xnoobspeakable<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|<br />
85xxxx -<br/><br />
9xxxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|13,396,923<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|}<br />
[[Category:BB Domain]]</div>
Gerbil
https://wiki.bbchallenge.org/w/index.php?title=BB(7)&diff=2154
BB(7)
2025-06-07T18:39:37Z
<p>Gerbil: /* Current Progress */</p>
<hr />
<div>The 7-state, 2-symbol Busy Beaver problem '''BB(7)''' is a mostly unexplored domain with only preliminary information.<br />
<br />
The current BB(7) champion is {{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}} discovered by Pavel Kropitz in 2025 proving the lower bound:<math display="block">S(7) > \Sigma(7) > 2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
<br />
== History ==<br />
Before 2025, the only known BB(7) champions were produced by hand, not by search. Example, Milton Green designed a machine in 1964 that had [[sigma score]] 22,961 and Wythagoras modified a BB(6) champion in 2014 to produce a machine that had sigma score <math>> 10 \uparrow\uparrow 5</math>.<br />
<br />
In May 2025, mxdys shared [https://github.com/ccz181078/TM C++ code] that breaks up the BB(7) enumeration into 1 million subtasks which each run for about 2 minutes and leave ~100 holdouts each. Various folks on Discord have been investigating different sections of this domain to search for champions.<br />
<br />
Within three days of the code's release, the Ligockis found three champions after applying their deciders to enumerator output. Shawn Ligocki found the first two, {{TM|1RB0RF_1LC0RE_1RD1LB_1LA1LD_0RA0LE_1RG0LB_1RZ1RB}} and {{TM|1RB1RA_1RC0LC_0LD1LG_1LF0LE_1RZ1LF_0LA1LD_1RA1LC}}, with sigma scores of approximately 10 ↑↑ 22 and 10 ↑↑ 35. That evening, Terry Ligocki found {{TM|1RB0LG_1RC0RF_1LD1RZ_1LF0LE_1RA1LD_1LG1RE_0LB0LB}}, with sigma score ~10 ↑↑ 46. These were all outpaced by Pavel's champion.<br />
<br />
== Top Halters ==<br />
Based on limited search through a subset of the 1 million subtasks from mxdys's code, the top 20 scoring known machines are:<br />
{| class="wikitable"<br />
!TM<br />
!Approximate sigma score<br />
!Discoverer<br />
|-<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
|Pavel Kropitz<br />
|-<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|@Iijil<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LG_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RG0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LF0RF_0RA1RE_1RZ0RE}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LF0RF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_1LG1RE_1LF0RF_0RA1RE_1RZ0RA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_1LG1RE_1LD0RF_0RA1RE_1RZ0RA}}<br />
|10 ↑↑ 188.28<br />
|@XnoobSpeakable, @Peacemaker II<br />
|-<br />
|{{TM|1RB0LG_0RC1RZ_1LD0LA_1RE1LE_1LC1RF_0RE0RA_0RF1LG}}<br />
|10 ↑↑ 133.85<br />
|@poppuncher<br />
|-<br />
|{{TM|1RB1RZ_1RC0RF_1LD1RB_1RG0LE_1LD0RA_1RE0LD_0RC1LF}}<br />
|10 ↑↑ 129.24<br />
|@Iijil<br />
|-<br />
|{{TM|1RB1LF_1RC1RA_1LD0LD_1LA1LE_0LA0LD_1LG0RF_0LE1RZ}}<br />
|10 ↑↑ 116.97<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0RD_1RC0LA_0LA0LE_1RE1RZ_1RF0RA_1LG0LE_1LC0LG}}<br />
|10 ↑↑ 116.05<br />
|<br />
|-<br />
|{{TM|1RB0RD_1RC0RA_0RD1LD_0LE1LF_1LA0LG_0LC1LB_1LC1RZ}}<br />
|10 ↑↑ 115.52<br />
|@prurq<br />
|-<br />
|{{TM|1RB0RF_1RC0RB_0RD0RF_1LE0LG_1LC0RD_1LA0LD_1LF1RZ}}<br />
|10 ↑↑ 114.61<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RE_1LC0LA_1LD0LC_0LE0LA_1RF0RG_1RD0LE_1RA1RZ}}<br />
|10 ↑↑ 114.60<br />
|Shawn Ligocki<br />
|-<br />
|{{TM|1RB0RE_0RC1LC_0LD1LF_1LE0LG_1RA0RC_0LB1LA_1LB1RZ}}<br />
|10 ↑↑ 114.57<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RG_1LC0LE_1LD0LB_1RB1RE_0RA1RF_0RD1RC_1RD1RZ}}<br />
|10 ↑↑ 113.37<br />
|Terry Ligocki<br />
|}<br />
The top 20 known halters with unique scores are:<br />
{| class="wikitable"<br />
!TM<br />
!Approximate sigma score<br />
!Discoverer<br />
|-<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
|Pavel Kropitz<br />
|-<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|@Iijil<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LG_0RC1RZ_1LD0LA_1RE1LE_1LC1RF_0RE0RA_0RF1LG}}<br />
|10 ↑↑ 133.85<br />
|@poppuncher<br />
|-<br />
|{{TM|1RB1RZ_1RC0RF_1LD1RB_1RG0LE_1LD0RA_1RE0LD_0RC1LF}}<br />
|10 ↑↑ 129.24<br />
|@Iijil<br />
|-<br />
|{{TM|1RB1LF_1RC1RA_1LD0LD_1LA1LE_0LA0LD_1LG0RF_0LE1RZ}}<br />
|10 ↑↑ 116.97<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0RD_1RC0LA_0LA0LE_1RE1RZ_1RF0RA_1LG0LE_1LC0LG}}<br />
|10 ↑↑ 116.05<br />
|<br />
|-<br />
|{{TM|1RB0RD_1RC0RA_0RD1LD_0LE1LF_1LA0LG_0LC1LB_1LC1RZ}}<br />
|10 ↑↑ 115.52<br />
|@prurq<br />
|-<br />
|{{TM|1RB0RF_1RC0RB_0RD0RF_1LE0LG_1LC0RD_1LA0LD_1LF1RZ}}<br />
|10 ↑↑ 114.61<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RE_1LC0LA_1LD0LC_0LE0LA_1RF0RG_1RD0LE_1RA1RZ}}<br />
|10 ↑↑ 114.60<br />
|Shawn Ligocki<br />
|-<br />
|{{TM|1RB0RE_0RC1LC_0LD1LF_1LE0LG_1RA0RC_0LB1LA_1LB1RZ}}<br />
|10 ↑↑ 114.57<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RG_1LC0LE_1LD0LB_1RB1RE_0RA1RF_0RD1RC_1RD1RZ}}<br />
|10 ↑↑ 113.37<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1RC1RA_1RD0RB_1LE0RC_1LF0LD_1RG0LF_1RC0LG}}<br />
|10 ↑↑ 108.77<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LE_1RC1RA_1RD0RG_1LA1RZ_1RA1LF_1LA0LE_0RF1RG}}<br />
|10 ↑↑ 93.81<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RF_1LC0LD_1RC0LB_1LE1RG_1RA1RE_1RD0RD_0RA1RZ}}<br />
|10 ↑↑ 93.78<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1LB_1LC1RE_1RD1RC_0RE0RD_1LF0RB_1LF1LG_1RZ0LA}}<br />
|10 ↑↑ 86.40<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1LC_1RC0LG_1RD0RG_0LE0RA_1LC0LF_0LD1LF_1RZ1RA}}<br />
|10 ↑↑ 82.44<br />
|Terry Ligocki<br />
|}<br />
<br />
== Current Progress ==<br />
This is a summary of the 1 million subtasks from mxdys's code that have been processed, including further processing by Shawn Ligocki's linear rule code ("TBD" = "To Be Determined", "TBE" = "To Be Entered"):<br />
{| class="wikitable defaultleft"<br />
!rowspan="2"|Task range<br />
!rowspan="2"|Done by<br />
!colspan="2"|Completed<br />
!rowspan="2"|# holdouts<br />
!rowspan="2"|Maximum Score TM<br />
!rowspan="2"|~Sigma<br />
!rowspan="2"|Source<br />
|-<br />
!enumeration<br />
!linear rule<br />
|-<br />
|00xxxx<br />
|rowspan="10"|@Iijil<br />
|Yes<br />
|Yes<br />
|728,495<br />
|{{TM|1RB0RF_1RC1LF_0RD0RD_1LE0LB_1RA1RZ_1LG1RA_1LD0RC}}<br />
|10 ↑↑ 45.64<br />
|rowspan="10"|[https://drive.google.com/drive/folders/1wniwrAuvsHfkvro8Tg65WAMNZEuIekzD Google Drive folder]<br />
|-<br />
|01xxxx<br />
|Yes<br />
|Yes<br />
|817,178<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|-<br />
|02xxxx<br />
|Yes<br />
|No<br />
|963,486<br />
|TBD<br />
|TBD<br />
|-<br />
|03xxxx<br />
|Yes<br />
|No<br />
|1,052,504<br />
|TBD<br />
|TBD<br />
|-<br />
|04xxxx<br />
|Yes<br />
|No<br />
|955,711<br />
|TBD<br />
|TBD<br />
|-<br />
|05xxxx<br />
|Yes<br />
|No<br />
|1,056,745<br />
|TBD<br />
|TBD<br />
|-<br />
|06xxxx<br />
|Yes<br />
|No<br />
|950,271<br />
|TBD<br />
|TBD<br />
|-<br />
|07xxxx<br />
|Yes<br />
|No<br />
|1,053,750<br />
|TBD<br />
|TBD<br />
|-<br />
|08xxxx<br />
|Yes<br />
|No<br />
|951,114<br />
|TBD<br />
|TBD<br />
|-<br />
|09xxxx<br />
|Yes<br />
|No<br />
|1,052,362<br />
|TBD<br />
|TBD<br />
|-<br />
|13xxxx<br />
|Shawn Ligocki<br />
|Yes<br />
|Yes<br />
|1,192,442<br />
|{{TM|1RB0RE_1LC0LA_1LD0LC_0LE0LA_1RF0RG_1RD0LE_1RA1RZ}}<br />
|10 ↑↑ 114.60<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|<br />
20xxxx -<br/><br />
21xxxx<br />
|@C7X<br />
|Yes<br />
|No<br />
|2,013,389<br />
|TBD<br />
|TBD<br />
|[https://drive.google.com/drive/folders/11iGTKsvu2Y7aFrwOcWS1LYvcN6i_7-JM?usp=sharing Google Drive folder]<br />
|-<br />
|243308<br />
|@uni<br />
|Yes<br />
|No<br />
|TBE<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
|[https://discord.com/channels/960643023006490684/1369339127652159509/1373660959960469545 Discord post]<br />
|-<br />
|25xxxx<br />
|@stokastic<br />
|Yes<br />
|No<br />
|1,056,591<br />
|{{TM|1RB1RZ_1LC0LE_0LD0LC_0RE1LB_1RF0RG_0LD1RB_1RD1RA}}<br />
|10 ↑↑ 31.33<br />
| rowspan="10" |[https://drive.google.com/drive/folders/16_qIdWWD-wolj6zURB5ZSbY-otI4zoUF?usp=sharing Google Drive folder] <br />
|-<br />
|26xxxx<br />
|@stokastic<br />
|Yes<br />
|No<br />
|958,289<br />
|1RB1RZ_0LC1RB_0LE0LD_1LE1LD_0RF0LC_0RG1RF_1RD0RA ([https://bbchallenge.org/1RB1RZ_0LC1RB_0LE0LD_1LE1LD_0RF0LC_0RG1RF_1RD0RA bbch])<br />
|10 ↑↑ 36.26<br />
|-<br />
|27xxxx<br />
|@stokastic<br />
|Yes<br />
|No<br />
|1,052,946<br />
|1RB0RG_1LC1LB_0RE0LD_0LC1RF_0RA1RE_0LF0LB_1RF1RZ ([https://bbchallenge.org/1RB0RG_1LC1LB_0RE0LD_0LC1RF_0RA1RE_0LF0LB_1RF1RZ bbch])<br />
|10 ↑↑ 63.56<br />
|-<br />
|28xxxx<br />
|@stokastic<br />
|Yes<br />
|No<br />
|956,935<br />
|TBD<br />
|TBD<br />
|-<br />
|29xxxx<br />
|@stokastic<br />
|Yes<br />
|No<br />
|1,052,415<br />
|TBD<br />
|TBD<br />
|-<br />
|30xxxx<br />
|@stokastic<br />
|Yes<br />
|No<br />
|1,032,095<br />
|TBD<br />
|TBD<br />
|-<br />
|31xxxx<br />
|@stokastic<br />
|Yes<br />
|No<br />
|1,436,970<br />
|TBD<br />
|TBD<br />
|-<br />
|32xxxx<br />
|@stokastic<br />
|Yes<br />
|No<br />
|1,036,950<br />
|TBD<br />
|TBD<br />
|-<br />
|33xxxx<br />
|@stokastic<br />
|Yes<br />
|No<br />
|1,432,081<br />
|TBD<br />
|TBD<br />
|-<br />
|34xxxx<br />
|@stokastic<br />
|Yes<br />
|No<br />
|1,032,970<br />
|TBD<br />
|TBD<br />
|-<br />
|35xxxx<br />
|rowspan="5"|Terry Ligocki<br />
|Yes<br />
|No<br />
|1,437,841<br />
|TBD<br />
|TBD<br />
|rowspan="5"|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|36xxxx<br />
|Yes<br />
|Yes<br />
|798,364<br />
|{{TM|1RB1LD_0LC1LE_1RD1LB_1RD0RA_1LB0RF_0RG1RE_1RZ0RA}}<br />
|10 ↑↑ 26.82<br />
|-<br />
|37xxxx<br />
|Yes<br />
|Yes<br />
|1,098,681<br />
|{{TM|1RB0LA_1RC0LB_1RD0RF_1LE0RC_1LA0LD_1RC1RG_1RF1RZ}}<br />
|10 ↑↑ 108.77<br />
|-<br />
|38xxxx<br />
|Yes<br />
|Yes<br />
|801,308<br />
|{{TM|1RB1RZ_1RC1RA_1RD0RB_1LE0RC_1LF0LD_1RG0LF_1RC0LG}}<br />
|10 ↑↑ 108.77<br />
|-<br />
|39xxxx<br />
|Yes<br />
|Yes<br />
|1,093,938<br />
|{{TM|1RB1LA_1LC0RE_0LD1LB_1RD0LA_1RF0RA_0RG0LA_1RB1RZ}}<br />
|10 ↑↑ 192.67<br />
|-<br />
|40xxxx<br />
| rowspan="6" |Andrew Ducharme<br />
|Yes<br />
|Yes<br />
|730,310<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
| rowspan="6" |[https://drive.google.com/drive/folders/16uDjgOahkhAMWv3v-YWmxJG7xxsBvj4h?usp=sharing Google Drive folder]<br />
|-<br />
|41xxxx<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|42xxxx<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|43xxxx<br />
|Yes<br />
|Yes<br />
|817,332<br />
|{{TM|1RB0LE_1RC1RA_1RD0RG_1LA1RZ_1RA1LF_1LA0LE_0RF1RG}}<br />
|10 ↑↑ 93.81<br />
|-<br />
|44xxxx<br />
|Yes<br />
|Yes<br />
|729,686<br />
|{{TM|1RB1LC_1RC0RC_1RD1LA_0RE1RF_1LC0LG_1LA1LE_1RZ1LF}}<br />
|10 ↑↑ 76.36<br />
|-<br />
|45xxxx<br />
|Yes<br />
|Yes<br />
|812,973<br />
|{{TM|1RB0RE_0RC1LC_0LD1LF_1LE0LG_1RA0RC_0LB1LA_1LB1RZ}}<br />
|10 ↑↑ 114.57<br />
|-<br />
|49xxxx<br />
|Tobiáš Brichta<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|[https://drive.google.com/drive/folders/1-csgJ5uSIX3SKlqTkSnhkUuEYLKgCw81 Google Drive folder]<br />
|-<br />
|500xxx<br />
|rowspan="2"|@prurq<br />
|Yes<br />
|Yes<br />
|120,520<br />
|{{TM|1RB0RD_1RC0RA_0RD1LD_0LE1LF_1LA0LG_0LC1LB_1LC1RZ}}<br />
|10 ^^ 115.52<br />
|rowspan="2"|[https://drive.google.com/drive/folders/145H4sT4F9KJYGSrlIETZdBOIMR7krLQm Google Drive folder]<br />
|-<br />
|501xxx<br />
|Yes<br />
|No<br />
|96,102<br />
|TBD<br />
|TBD<br />
|-<br />
|60xxxx<br />
|rowspan="3"|@gerbil5709<br />
|Yes<br />
|No<br />
|957,769<br />
|TBD<br />
|TBD<br />
| rowspan="3" |[https://drive.google.com/drive/folders/1kAvBebeF09CEVocCk5bGKlDJfRN8co_i?usp=sharing Google Drive folder]<br />
|-<br />
|61xxxx<br />
|Yes<br />
|No<br />
|1,052,047<br />
|TBD<br />
|TBD<br />
|-<br />
|62xxxx<br />
|Yes<br />
|No<br />
|959,753 <br />
|TBD<br />
|TBD<br />
|-<br />
|69xxxx<br />
|@poppuncher<br />
|Yes<br />
|No<br />
|1,053,119<br />
|{{TM|1RB0LG_0RC1RZ_1LD0LA_1RE1LE_1LC1RF_0RE0RA_0RF1LG}}<br />
|10 ↑↑ 133.85<br />
|[https://drive.google.com/drive/folders/1KlCZqXxqVPuBPkDcCBocuMPA8paq9b8P?usp=drive_link Google Drive folder]<br />
|-<br />
|70xxxx<br />
|@hipparcos<br />
|Yes<br />
|Yes<br />
|798,304<br />
|<br />
{{TM|1RB0LF_1RC1LE_0RD1RA_1RE1RG_0LA1LB_1LE1RG_0RC1RZ}}<br/><br />
{{TM|1RB0LF_1LC1LE_1RE0LD_0LC0LA_1LB1RA_0LG0RC_1RZ0LA}}<br />
|<br />
10 ↑↑ 33.81<br/><br />
10 ↑↑ 26.63<br />
|[https://github.com/jhuang97/bb7x2/releases/tag/70xxxx Github release]<br />
|-<br />
|71xxxx<br />
|@hipparcos<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|<br />
|-<br />
|75xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|1,103,089<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_0RF0LF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|80xxxx<br />
|@xnoobspeakable<br />
|Yes<br />
|No<br />
|964,396<br />
|TBD<br />
|TBD<br />
| rowspan="2" |[https://drive.google.com/drive/folders/1TpuEC7KottEmvsFnCREugnlVMPaY5ZHi?usp=sharing Google Drive folder]<br />
|-<br />
|81xxxx<br />
|@xnoobspeakable<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|<br />
85xxxx -<br/><br />
9xxxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|13,396,923<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|}<br />
[[Category:BB Domain]]</div>
Gerbil
https://wiki.bbchallenge.org/w/index.php?title=BB(7)&diff=2153
BB(7)
2025-06-07T18:37:49Z
<p>Gerbil: /* Current Progress */</p>
<hr />
<div>The 7-state, 2-symbol Busy Beaver problem '''BB(7)''' is a mostly unexplored domain with only preliminary information.<br />
<br />
The current BB(7) champion is {{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}} discovered by Pavel Kropitz in 2025 proving the lower bound:<math display="block">S(7) > \Sigma(7) > 2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
<br />
== History ==<br />
Before 2025, the only known BB(7) champions were produced by hand, not by search. Example, Milton Green designed a machine in 1964 that had [[sigma score]] 22,961 and Wythagoras modified a BB(6) champion in 2014 to produce a machine that had sigma score <math>> 10 \uparrow\uparrow 5</math>.<br />
<br />
In May 2025, mxdys shared [https://github.com/ccz181078/TM C++ code] that breaks up the BB(7) enumeration into 1 million subtasks which each run for about 2 minutes and leave ~100 holdouts each. Various folks on Discord have been investigating different sections of this domain to search for champions.<br />
<br />
Within three days of the code's release, the Ligockis found three champions after applying their deciders to enumerator output. Shawn Ligocki found the first two, {{TM|1RB0RF_1LC0RE_1RD1LB_1LA1LD_0RA0LE_1RG0LB_1RZ1RB}} and {{TM|1RB1RA_1RC0LC_0LD1LG_1LF0LE_1RZ1LF_0LA1LD_1RA1LC}}, with sigma scores of approximately 10 ↑↑ 22 and 10 ↑↑ 35. That evening, Terry Ligocki found {{TM|1RB0LG_1RC0RF_1LD1RZ_1LF0LE_1RA1LD_1LG1RE_0LB0LB}}, with sigma score ~10 ↑↑ 46. These were all outpaced by Pavel's champion.<br />
<br />
== Top Halters ==<br />
Based on limited search through a subset of the 1 million subtasks from mxdys's code, the top 20 scoring known machines are:<br />
{| class="wikitable"<br />
!TM<br />
!Approximate sigma score<br />
!Discoverer<br />
|-<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
|Pavel Kropitz<br />
|-<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|@Iijil<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LG_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RG0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LF0RF_0RA1RE_1RZ0RE}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LF0RF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_1LG1RE_1LF0RF_0RA1RE_1RZ0RA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_1LG1RE_1LD0RF_0RA1RE_1RZ0RA}}<br />
|10 ↑↑ 188.28<br />
|@XnoobSpeakable, @Peacemaker II<br />
|-<br />
|{{TM|1RB0LG_0RC1RZ_1LD0LA_1RE1LE_1LC1RF_0RE0RA_0RF1LG}}<br />
|10 ↑↑ 133.85<br />
|@poppuncher<br />
|-<br />
|{{TM|1RB1RZ_1RC0RF_1LD1RB_1RG0LE_1LD0RA_1RE0LD_0RC1LF}}<br />
|10 ↑↑ 129.24<br />
|@Iijil<br />
|-<br />
|{{TM|1RB1LF_1RC1RA_1LD0LD_1LA1LE_0LA0LD_1LG0RF_0LE1RZ}}<br />
|10 ↑↑ 116.97<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0RD_1RC0LA_0LA0LE_1RE1RZ_1RF0RA_1LG0LE_1LC0LG}}<br />
|10 ↑↑ 116.05<br />
|<br />
|-<br />
|{{TM|1RB0RD_1RC0RA_0RD1LD_0LE1LF_1LA0LG_0LC1LB_1LC1RZ}}<br />
|10 ↑↑ 115.52<br />
|@prurq<br />
|-<br />
|{{TM|1RB0RF_1RC0RB_0RD0RF_1LE0LG_1LC0RD_1LA0LD_1LF1RZ}}<br />
|10 ↑↑ 114.61<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RE_1LC0LA_1LD0LC_0LE0LA_1RF0RG_1RD0LE_1RA1RZ}}<br />
|10 ↑↑ 114.60<br />
|Shawn Ligocki<br />
|-<br />
|{{TM|1RB0RE_0RC1LC_0LD1LF_1LE0LG_1RA0RC_0LB1LA_1LB1RZ}}<br />
|10 ↑↑ 114.57<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RG_1LC0LE_1LD0LB_1RB1RE_0RA1RF_0RD1RC_1RD1RZ}}<br />
|10 ↑↑ 113.37<br />
|Terry Ligocki<br />
|}<br />
The top 20 known halters with unique scores are:<br />
{| class="wikitable"<br />
!TM<br />
!Approximate sigma score<br />
!Discoverer<br />
|-<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
|Pavel Kropitz<br />
|-<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|@Iijil<br />
|-<br />
|{{TM|1RB1RZ_1LC0RE_0LD1LB_1RE0LA_1RF0RG_0RA0LG_1RB1LG}}<br />
|10 ↑↑ 192.67<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_1LD0RF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LG_0RC1RZ_1LD0LA_1RE1LE_1LC1RF_0RE0RA_0RF1LG}}<br />
|10 ↑↑ 133.85<br />
|@poppuncher<br />
|-<br />
|{{TM|1RB1RZ_1RC0RF_1LD1RB_1RG0LE_1LD0RA_1RE0LD_0RC1LF}}<br />
|10 ↑↑ 129.24<br />
|@Iijil<br />
|-<br />
|{{TM|1RB1LF_1RC1RA_1LD0LD_1LA1LE_0LA0LD_1LG0RF_0LE1RZ}}<br />
|10 ↑↑ 116.97<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0RD_1RC0LA_0LA0LE_1RE1RZ_1RF0RA_1LG0LE_1LC0LG}}<br />
|10 ↑↑ 116.05<br />
|<br />
|-<br />
|{{TM|1RB0RD_1RC0RA_0RD1LD_0LE1LF_1LA0LG_0LC1LB_1LC1RZ}}<br />
|10 ↑↑ 115.52<br />
|@prurq<br />
|-<br />
|{{TM|1RB0RF_1RC0RB_0RD0RF_1LE0LG_1LC0RD_1LA0LD_1LF1RZ}}<br />
|10 ↑↑ 114.61<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RE_1LC0LA_1LD0LC_0LE0LA_1RF0RG_1RD0LE_1RA1RZ}}<br />
|10 ↑↑ 114.60<br />
|Shawn Ligocki<br />
|-<br />
|{{TM|1RB0RE_0RC1LC_0LD1LF_1LE0LG_1RA0RC_0LB1LA_1LB1RZ}}<br />
|10 ↑↑ 114.57<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RG_1LC0LE_1LD0LB_1RB1RE_0RA1RF_0RD1RC_1RD1RZ}}<br />
|10 ↑↑ 113.37<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1RZ_1RC1RA_1RD0RB_1LE0RC_1LF0LD_1RG0LF_1RC0LG}}<br />
|10 ↑↑ 108.77<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB0LE_1RC1RA_1RD0RG_1LA1RZ_1RA1LF_1LA0LE_0RF1RG}}<br />
|10 ↑↑ 93.81<br />
|Andrew Ducharme<br />
|-<br />
|{{TM|1RB0RF_1LC0LD_1RC0LB_1LE1RG_1RA1RE_1RD0RD_0RA1RZ}}<br />
|10 ↑↑ 93.78<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1LB_1LC1RE_1RD1RC_0RE0RD_1LF0RB_1LF1LG_1RZ0LA}}<br />
|10 ↑↑ 86.40<br />
|Terry Ligocki<br />
|-<br />
|{{TM|1RB1LC_1RC0LG_1RD0RG_0LE0RA_1LC0LF_0LD1LF_1RZ1RA}}<br />
|10 ↑↑ 82.44<br />
|Terry Ligocki<br />
|}<br />
<br />
== Current Progress ==<br />
This is a summary of the 1 million subtasks from mxdys's code that have been processed, including further processing by Shawn Ligocki's linear rule code ("TBD" = "To Be Determined", "TBE" = "To Be Entered"):<br />
{| class="wikitable defaultleft"<br />
!rowspan="2"|Task range<br />
!rowspan="2"|Done by<br />
!colspan="2"|Completed<br />
!rowspan="2"|# holdouts<br />
!rowspan="2"|Maximum Score TM<br />
!rowspan="2"|~Sigma<br />
!rowspan="2"|Source<br />
|-<br />
!enumeration<br />
!linear rule<br />
|-<br />
|00xxxx<br />
|rowspan="10"|@Iijil<br />
|Yes<br />
|Yes<br />
|728,495<br />
|{{TM|1RB0RF_1RC1LF_0RD0RD_1LE0LB_1RA1RZ_1LG1RA_1LD0RC}}<br />
|10 ↑↑ 45.64<br />
|rowspan="10"|[https://drive.google.com/drive/folders/1wniwrAuvsHfkvro8Tg65WAMNZEuIekzD Google Drive folder]<br />
|-<br />
|01xxxx<br />
|Yes<br />
|Yes<br />
|817,178<br />
|{{TM|1RB0LE_1RC0RA_1RD0RC_1LE1LD_1LA0LF_0LA0LG_1RZ0RD}}<br />
|10 ↑↑ 246.32<br />
|-<br />
|02xxxx<br />
|Yes<br />
|No<br />
|963,486<br />
|TBD<br />
|TBD<br />
|-<br />
|03xxxx<br />
|Yes<br />
|No<br />
|1,052,504<br />
|TBD<br />
|TBD<br />
|-<br />
|04xxxx<br />
|Yes<br />
|No<br />
|955,711<br />
|TBD<br />
|TBD<br />
|-<br />
|05xxxx<br />
|Yes<br />
|No<br />
|1,056,745<br />
|TBD<br />
|TBD<br />
|-<br />
|06xxxx<br />
|Yes<br />
|No<br />
|950,271<br />
|TBD<br />
|TBD<br />
|-<br />
|07xxxx<br />
|Yes<br />
|No<br />
|1,053,750<br />
|TBD<br />
|TBD<br />
|-<br />
|08xxxx<br />
|Yes<br />
|No<br />
|951,114<br />
|TBD<br />
|TBD<br />
|-<br />
|09xxxx<br />
|Yes<br />
|No<br />
|1,052,362<br />
|TBD<br />
|TBD<br />
|-<br />
|13xxxx<br />
|Shawn Ligocki<br />
|Yes<br />
|Yes<br />
|1,192,442<br />
|{{TM|1RB0RE_1LC0LA_1LD0LC_0LE0LA_1RF0RG_1RD0LE_1RA1RZ}}<br />
|10 ↑↑ 114.60<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|<br />
20xxxx -<br/><br />
21xxxx<br />
|@C7X<br />
|Yes<br />
|No<br />
|2,013,389<br />
|TBD<br />
|TBD<br />
|[https://drive.google.com/drive/folders/11iGTKsvu2Y7aFrwOcWS1LYvcN6i_7-JM?usp=sharing Google Drive folder]<br />
|-<br />
|243308<br />
|@uni<br />
|Yes<br />
|No<br />
|TBE<br />
|{{TM|1RB0RA_1LC1LF_1RD0LB_1RA1LE_1RZ0LC_1RG1LD_0RG0RF}}<br />
|<math>2 \uparrow^{11} 2 \uparrow^{11} 3</math><br />
|[https://discord.com/channels/960643023006490684/1369339127652159509/1373660959960469545 Discord post]<br />
|-<br />
|25xxxx<br />
|@stokastic<br />
|Yes<br />
|No<br />
|1,056,591<br />
|{{TM|1RB1RZ_1LC0LE_0LD0LC_0RE1LB_1RF0RG_0LD1RB_1RD1RA}}<br />
|10 ↑↑ 31.33<br />
| rowspan="10" |[https://drive.google.com/drive/folders/16_qIdWWD-wolj6zURB5ZSbY-otI4zoUF?usp=sharing Google Drive folder] <br />
|-<br />
|26xxxx<br />
|@stokastic<br />
|Yes<br />
|No<br />
|958,289<br />
|1RB1RZ_0LC1RB_0LE0LD_1LE1LD_0RF0LC_0RG1RF_1RD0RA ([https://bbchallenge.org/1RB1RZ_0LC1RB_0LE0LD_1LE1LD_0RF0LC_0RG1RF_1RD0RA bbch])<br />
|10 ↑↑ 36.26<br />
|-<br />
|27xxxx<br />
|@stokastic<br />
|Yes<br />
|No<br />
|1,052,946<br />
|1RB0RG_1LC1LB_0RE0LD_0LC1RF_0RA1RE_0LF0LB_1RF1RZ ([https://bbchallenge.org/1RB0RG_1LC1LB_0RE0LD_0LC1RF_0RA1RE_0LF0LB_1RF1RZ bbch])<br />
|10 ↑↑ 63.56<br />
|-<br />
|28xxxx<br />
|@stokastic<br />
|Yes<br />
|No<br />
|956,935<br />
|TBD<br />
|TBD<br />
|-<br />
|29xxxx<br />
|@stokastic<br />
|Yes<br />
|No<br />
|1,052,415<br />
|TBD<br />
|TBD<br />
|-<br />
|30xxxx<br />
|@stokastic<br />
|Yes<br />
|No<br />
|1,032,095<br />
|TBD<br />
|TBD<br />
|-<br />
|31xxxx<br />
|@stokastic<br />
|Yes<br />
|No<br />
|1,436,970<br />
|TBD<br />
|TBD<br />
|-<br />
|32xxxx<br />
|@stokastic<br />
|Yes<br />
|No<br />
|1,036,950<br />
|TBD<br />
|TBD<br />
|-<br />
|33xxxx<br />
|@stokastic<br />
|Yes<br />
|No<br />
|1,432,081<br />
|TBD<br />
|TBD<br />
|-<br />
|34xxxx<br />
|@stokastic<br />
|Yes<br />
|No<br />
|1,032,970<br />
|TBD<br />
|TBD<br />
|-<br />
|35xxxx<br />
|rowspan="5"|Terry Ligocki<br />
|Yes<br />
|No<br />
|1,437,841<br />
|TBD<br />
|TBD<br />
|rowspan="5"|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|36xxxx<br />
|Yes<br />
|Yes<br />
|798,364<br />
|{{TM|1RB1LD_0LC1LE_1RD1LB_1RD0RA_1LB0RF_0RG1RE_1RZ0RA}}<br />
|10 ↑↑ 26.82<br />
|-<br />
|37xxxx<br />
|Yes<br />
|Yes<br />
|1,098,681<br />
|{{TM|1RB0LA_1RC0LB_1RD0RF_1LE0RC_1LA0LD_1RC1RG_1RF1RZ}}<br />
|10 ↑↑ 108.77<br />
|-<br />
|38xxxx<br />
|Yes<br />
|Yes<br />
|801,308<br />
|{{TM|1RB1RZ_1RC1RA_1RD0RB_1LE0RC_1LF0LD_1RG0LF_1RC0LG}}<br />
|10 ↑↑ 108.77<br />
|-<br />
|39xxxx<br />
|Yes<br />
|Yes<br />
|1,093,938<br />
|{{TM|1RB1LA_1LC0RE_0LD1LB_1RD0LA_1RF0RA_0RG0LA_1RB1RZ}}<br />
|10 ↑↑ 192.67<br />
|-<br />
|40xxxx<br />
| rowspan="6" |Andrew Ducharme<br />
|Yes<br />
|Yes<br />
|730,310<br />
|{{TM|1RB1RZ_0RC0RE_1LD1LA_1LC0LG_0RF1LF_0RD1LF_1LB0LE}}<br />
|10 ↑↑ 519.20<br />
| rowspan="6" |[https://drive.google.com/drive/folders/16uDjgOahkhAMWv3v-YWmxJG7xxsBvj4h?usp=sharing Google Drive folder]<br />
|-<br />
|41xxxx<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|42xxxx<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|43xxxx<br />
|Yes<br />
|Yes<br />
|817,332<br />
|{{TM|1RB0LE_1RC1RA_1RD0RG_1LA1RZ_1RA1LF_1LA0LE_0RF1RG}}<br />
|10 ↑↑ 93.81<br />
|-<br />
|44xxxx<br />
|Yes<br />
|Yes<br />
|729,686<br />
|{{TM|1RB1LC_1RC0RC_1RD1LA_0RE1RF_1LC0LG_1LA1LE_1RZ1LF}}<br />
|10 ↑↑ 76.36<br />
|-<br />
|45xxxx<br />
|Yes<br />
|Yes<br />
|812,973<br />
|{{TM|1RB0RE_0RC1LC_0LD1LF_1LE0LG_1RA0RC_0LB1LA_1LB1RZ}}<br />
|10 ↑↑ 114.57<br />
|-<br />
|49xxxx<br />
|Tobiáš Brichta<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|[https://drive.google.com/drive/folders/1-csgJ5uSIX3SKlqTkSnhkUuEYLKgCw81 Google Drive folder]<br />
|-<br />
|500xxx<br />
|rowspan="2"|@prurq<br />
|Yes<br />
|Yes<br />
|120,520<br />
|{{TM|1RB0RD_1RC0RA_0RD1LD_0LE1LF_1LA0LG_0LC1LB_1LC1RZ}}<br />
|10 ^^ 115.52<br />
|rowspan="2"|[https://drive.google.com/drive/folders/145H4sT4F9KJYGSrlIETZdBOIMR7krLQm Google Drive folder]<br />
|-<br />
|501xxx<br />
|Yes<br />
|No<br />
|96,102<br />
|TBD<br />
|TBD<br />
|-<br />
|60xxxx<br />
|rowspan="3"|@gerbil5709<br />
|Yes<br />
|No<br />
|957,769<br />
|TBD<br />
|TBD<br />
| rowspan="3" |[https://drive.google.com/drive/folders/1kAvBebeF09CEVocCk5bGKlDJfRN8co_i?usp=sharing Google Drive folder]<br />
|-<br />
|61xxxx<br />
|Yes<br />
|No<br />
|1,052,047<br />
|TBD<br />
|TBD<br />
|-<br />
|62xxxx<br />
|Yes<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|69xxxx<br />
|@poppuncher<br />
|Yes<br />
|No<br />
|1,053,119<br />
|{{TM|1RB0LG_0RC1RZ_1LD0LA_1RE1LE_1LC1RF_0RE0RA_0RF1LG}}<br />
|10 ↑↑ 133.85<br />
|[https://drive.google.com/drive/folders/1KlCZqXxqVPuBPkDcCBocuMPA8paq9b8P?usp=drive_link Google Drive folder]<br />
|-<br />
|70xxxx<br />
|@hipparcos<br />
|Yes<br />
|Yes<br />
|798,304<br />
|<br />
{{TM|1RB0LF_1RC1LE_0RD1RA_1RE1RG_0LA1LB_1LE1RG_0RC1RZ}}<br/><br />
{{TM|1RB0LF_1LC1LE_1RE0LD_0LC0LA_1LB1RA_0LG0RC_1RZ0LA}}<br />
|<br />
10 ↑↑ 33.81<br/><br />
10 ↑↑ 26.63<br />
|[https://github.com/jhuang97/bb7x2/releases/tag/70xxxx Github release]<br />
|-<br />
|71xxxx<br />
|@hipparcos<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|<br />
|-<br />
|75xxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|1,103,089<br />
|{{TM|1RB0LC_1LC1LD_1LA1LB_0LG1RE_0RF0LF_0RA1RE_1RZ1LA}}<br />
|10 ↑↑ 188.28<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|-<br />
|80xxxx<br />
|@xnoobspeakable<br />
|Yes<br />
|No<br />
|964,396<br />
|TBD<br />
|TBD<br />
| rowspan="2" |[https://drive.google.com/drive/folders/1TpuEC7KottEmvsFnCREugnlVMPaY5ZHi?usp=sharing Google Drive folder]<br />
|-<br />
|81xxxx<br />
|@xnoobspeakable<br />
|No<br />
|No<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|<br />
85xxxx -<br/><br />
9xxxxx<br />
|Terry Ligocki<br />
|Yes<br />
|Yes<br />
|13,396,923<br />
|{{TM|1RB1RF_0RC1RG_1LD1LE_0LE1LD_0RF0LC_1RA0LC_0RF1RZ}}<br />
|10 ↑↑ 286.17<br />
|[https://drive.google.com/drive/folders/1_lIqfvj4_J7WWl5LOBUp_pntoI99QYui Google Drive folder]<br />
|}<br />
[[Category:BB Domain]]</div>
Gerbil