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The last value we will likely every know for the busy beaver function! BB(6) is likely completely out of reach forever.
By 2023, it had basically been decided by the The Busy Beaver Challenge as mentioned at: discuss.bbchallenge.org/t/the-30-to-34-ctl-holdouts-from-bb-5/141, pending only further verification. It is going to be one of those highly computational proofs that will be needed to be formally verified for people to finally settle.
As that project beautifully puts it, as of 2023 prior to full resolution, this can be considered the:
simplest open problem in mathematics
on the Busy beaver scale.

Ancestors (12)

  1. Specific values of the Busy beaver function
  2. Busy beaver function
  3. Busy beaver
  4. Halting problem
  5. Decision problem
  6. Computational problem
  7. Computer science
  8. Computer
  9. Information technology
  10. Area of technology
  11. Technology
  12. Home

Synonyms (1)