TMBR: September 2025: Difference between revisions

Latest revision as of 09:21, 9 September 2025

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BB(6):
- Andrew Ducharme and @mxdys both found a family of 10 halting TMs independently, all halting in around $10^{69}$ steps.
- @mxdys decided two machines’ fates from the 50 Random Holdouts released in August, making 8/50 machined solved as of this month.
BB(7): Andrew Ducharme has continued reducing the number of holdouts, from 59,727,905 to 29,781,771 (50.14% reduction)
BB(2,6): Andrew Ducharme has continued reducing the number of holdouts from 18,054,938 to 17,629,828 (2.35% reduction)

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

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 ** @mxdys [https://discord.com/channels/960643023006490684/1400456788955893840/1413542505772748810 decided two machines’ fates] from the [[TMBR: August 2025#Misc|50 Random Holdouts released in August]], making 8/50 machined solved as of this month.
 * [[BB(7)|BB(7):]] Andrew Ducharme has continued reducing [https://wiki.bbchallenge.org/wiki/BB(7)#Phase_2 the number of holdouts], from 59,727,905 to 29,781,771 (50.14% reduction)
-* [[BB(2,6)|BB(2,6):]] Andrew Ducharme has continued reducing the number of holdouts from 18,054,938 to 17,629,828 (23.55% reduction)
+* [[BB(2,6)|BB(2,6):]] Andrew Ducharme has continued reducing the number of holdouts from 18,054,938 to 17,629,828 (2.35% reduction)
 ==BB Adjacent==