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The Busy Beaver problem is about finding the sequence of n-state Turing Machines writing the most 1's on a tape.

3 votes

Wanted: Concrete Example of Busy Beaver Holdout

Skelet has 43 holdouts (those with type = ----). At least No. 827123 (the very first in the lists) is still open, afaik. My "feeling" is that all but 6 (no idea, which!) have been shown to be infinite …
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1 vote

Goldbach Conjecture and Busy Beaver numbers?

The Goldbach conjecture can be falsified (if actually false) by such a TM program; it can not be proven correct in this way (an insightful mathematician, however, might do this). Knowing BB(27) would …
Michael's user avatar
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