TMBR: September 2025: Difference between revisions

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Added some more to the "Holdouts" section. This will need to be further update at the end of the month.
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Holdouts: Fixed grammar issue, aded hackernews and todo arxiv preprint
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[[:Category:This Month in Beaver Research|This Month in Beaver Research]] for September 2025.
[[:Category:This Month in Beaver Research|This Month in Beaver Research]] for September 2025.
TODO: BB(5) arXiv released


==In the News==
==In the News==


* 14 Sep 2025. Ben Brubaker. Wired. [https://www.wired.com/story/the-quest-to-find-the-longest-running-simple-computer-program/ The Quest to Find the Longest-Running Simple Computer Program].
* 14 Sep 2025. Ben Brubaker. Wired. [https://www.wired.com/story/the-quest-to-find-the-longest-running-simple-computer-program/ The Quest to Find the Longest-Running Simple Computer Program].
* 17 Sep 2025. Hacker News. [https://news.ycombinator.com/item?id=45273999 Determination of the fifth Busy Beaver value].


==Holdouts==
==Holdouts==
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** Andrew Ducharme has continued reducing the number of holdouts from 18,054,938 to 17,629,828 (2.35% reduction).
** Andrew Ducharme has continued reducing the number of holdouts from 18,054,938 to 17,629,828 (2.35% reduction).
** Terry Ligocki [https://discord.com/channels/960643023006490684/1084047886494470185/1414681547444981944 shared that he ran 14 of @mxdys deciders on the holdouts list], reducing the [[BB(2,6)#Filtering|holdout count]] to a flattering 1,300,334 TMs (92.63% reduction).
** Terry Ligocki [https://discord.com/channels/960643023006490684/1084047886494470185/1414681547444981944 shared that he ran 14 of @mxdys deciders on the holdouts list], reducing the [[BB(2,6)#Filtering|holdout count]] to a flattering 1,300,334 TMs (92.63% reduction).
** @Peacemaker II discovered there were TMs missing from Andrew Ducharme's initial reductions. Andrew decided to scrap those reduction and run a single filter and reduced the holdout TMs from 22.3M to 20.4M (8.52% reduction.
** @Peacemaker II discovered there were TMs missing from Andrew Ducharme's initial reductions. Andrew decided to scrap those reductions and run a single filter and reduced the holdout TMs from 22.3M to 20.4M (8.52% reduction.
** Terry Ligocki then reran the 14 filters on the corrected holdouts and reduced the holdouts from 20.4M to 1.43M (92.9% reduction). This was followed by running 36 filters found examining a subset of the holdouts which reduced the holdouts form 1.43M to 970K (32.2% reduction). Overall the 50 filters reduced the holdouts by 95.23%.
** Terry Ligocki then reran the 14 filters on the corrected holdouts and reduced the holdouts from 20.4M to 1.43M (92.9% reduction). This was followed by running 36 filters found examining a subset of the holdouts which reduced the holdouts form 1.43M to 970K (32.2% reduction). Overall the 50 filters reduced the holdouts by 95.23%.
** TODO: Andrew Ducharme is continuing to run filters and has gotten some more appreciable reductions.
** TODO: Andrew Ducharme is continuing to run filters and has gotten some more appreciable reductions.

Revision as of 19:48, 17 September 2025

Prev: August 2025 This Month in Beaver Research Next: October 2025

This Month in Beaver Research for September 2025.

TODO: BB(5) arXiv released

In the News

Holdouts

  • BB(6):
  • BB(7):
    • Andrew Ducharme has continued reducing the number of holdouts, from 59,727,905 to 28,189,617 (52.80% reduction)
    • TODO: Terry Ligocki is running an additional 41 filters/parameters. 15 filters have been completed which reduced the holdouts from 28.2M to 24.9M (11.64% reduction).
  • BB(2,6):
    • Andrew Ducharme has continued reducing the number of holdouts from 18,054,938 to 17,629,828 (2.35% reduction).
    • Terry Ligocki shared that he ran 14 of @mxdys deciders on the holdouts list, reducing the holdout count to a flattering 1,300,334 TMs (92.63% reduction).
    • @Peacemaker II discovered there were TMs missing from Andrew Ducharme's initial reductions. Andrew decided to scrap those reductions and run a single filter and reduced the holdout TMs from 22.3M to 20.4M (8.52% reduction.
    • Terry Ligocki then reran the 14 filters on the corrected holdouts and reduced the holdouts from 20.4M to 1.43M (92.9% reduction). This was followed by running 36 filters found examining a subset of the holdouts which reduced the holdouts form 1.43M to 970K (32.2% reduction). Overall the 50 filters reduced the holdouts by 95.23%.
    • TODO: Andrew Ducharme is continuing to run filters and has gotten some more appreciable reductions.

BB Adjacent

  • John Tromp announced on Discord that a 350-bit BBλ(n) function now reaches the limit of BMS, an improvement from the previous 404 bits.

TODO: phrasing. Discord source: https://discord.com/channels/960643023006490684/1355653587824283678/1413637783045542038 and https://github.com/tromp/AIT/blob/master/fast_growing_and_conjectures/bms.lam

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