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Skelet #17 and the fifth Busy Beaver number

Published 2 Jul 2024 in math.CO and math.LO | (2407.02426v2)

Abstract: We prove nonhalting of the Turing machine dubbed "Skelet #17", known to be one of the toughest 5-state, 2-symbol Turing machines to analyze. Combined with the efforts of The Busy Beaver Challenge, we are therefore able to show that BB(5), the fifth Busy Beaver number, equals 47,176,870.

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