BB(3,6): Difference between revisions

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The 3-state 6-symbol [[Busy Beaver]] problem, BB(3,6), is unsolved and unexplored. 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(3,6). The current BB(3,6) [[champion]] is simply inherited from [[BB(3,5)]] as BB(3,6) has not yet been explored.
The 3-state 6-symbol [[Busy Beaver]] problem, BB(3,6), is unsolved and unexplored. 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(3,6). The current BB(3,6) [[champion]] is {{TM|1RB3LB4LC2RA4LB5LB_2LC3RB1LC2RA5LC1RZ_3RB1LB3LC2RC4LC5LC|halt}}, it was constructed by [[User:Loader3229|Loader3229]] and runs for more than <math>f_\omega^3(15)</math> steps.


BB(3,6) is expected to be very hard to enumerate.
BB(3,6) is expected to be very hard to enumerate.


[[Category:BB Domains]]
[[Category:BB Domains]]

Latest revision as of 17:17, 30 October 2026

The 3-state 6-symbol Busy Beaver problem, BB(3,6), is unsolved and unexplored. 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(3,6). The current BB(3,6) champion is 1RB3LB4LC2RA4LB5LB_2LC3RB1LC2RA5LC1RZ_3RB1LB3LC2RC4LC5LC (bbch), it was constructed by Loader3229 and runs for more than fω3(15) steps.

BB(3,6) is expected to be very hard to enumerate.