BB(2,6): Difference between revisions
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All decimal places are truncated. Discoverers are asterisked where it is unclear if the TM had been found but unreported by someone previously (namely Shawn Ligocki). | All decimal places are truncated. Discoverers are asterisked where it is unclear if the TM had been found but unreported by someone previously (namely Shawn Ligocki). | ||
[[Category: BB Domains]] | |||
Revision as of 19:32, 25 August 2025
The 2-state, 6-symbol Busy Beaver problem, BB(2,6), is unsolved. With cryptids like Hydra in the preceding domain BB(2,5), we know that we must solve a Collatz-like problem in order to solve BB(2,6).
The current BB(2,6) champion 1RB3RB5RA1LB5LA2LB_2LA2RA4RB1RZ3LB2LA (bbch) was discovered by Pavel Kropitz in May 2023, proving the lower bound:
Top Halters
The highest known scoring machines are:
| TM | Approximate sigma score | Discoverer |
|---|---|---|
1RB3RB5RA1LB5LA2LB_2LA2RA4RB1RZ3LB2LA (bbch)
|
10 ↑↑↑ 3 | Pavel Kropitz |
1RB3LA4LB0RB1RA3LA_2LA2RA4LA1RA5RB1RZ (bbch)
|
10 ↑↑ 91 | Pavel Kropitz |
1RB2LA1RA4LA5RA0LB_1LA3RA2RB1RZ3RB4LA (bbch)
|
10 ↑↑ 70 | Shawn Ligocki |
1RB2LB0RA2RA5RA1LB_2LA4RB3LB2RB0RB1RZ (bbch)
|
10 ↑↑ 54.90 | Andrew Ducharme* |
1RB3RB1LB5LA2LB1RZ_2LA3RA4RB2LB0LA4RB (bbch)
|
10 ↑↑ 42.17 | Andrew Ducharme* |
1RB3LB0RB5RA1LB1RZ_2LB3LA4RA0RB0RA2LB (bbch)
|
10 ↑↑ 40.07 | Andrew Ducharme* |
1RB3LB3RB4LA2LA4LA_2LA2RB1LB0RA5RA1RZ (bbch)
|
10 ↑↑ 21.54 | Andrew Ducharme* |
1RB0RA3RB0LB1RA2LA_2LA4LB1RA3LB5LB1RZ (bbch)
|
10 ↑↑ 17.53 | Andrew Ducharme* |
1RB0RA3RB0LB5LA2LA_2LA4LB1RA3LB5LB1RZ (bbch)
|
10 ↑↑ 17.53 | Andrew Ducharme* |
1RB3RA4LA1LA0LA1RZ_2LA0LB1RA1LB5LB2RA (bbch)
|
10 ↑↑ 15.49 | Andrew Ducharme* |
All decimal places are truncated. Discoverers are asterisked where it is unclear if the TM had been found but unreported by someone previously (namely Shawn Ligocki).