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• W3100637519 abstract "By introducing the busy beaver competition of Turing machines, in 1962, Rado defined noncomputable functions on positive integers. The study of these functions and variants leads to many mathematical challenges. This article takes up the following one: How can a small Turing machine manage to produce very big numbers? It provides the following answer: mostly by simulating Collatz-like functions, that are generalizations of the famous 3x+1 function. These functions, like the 3x+1 function, lead to new unsolved problems in number theory." @default.
• W3100637519 created "2020-11-23" @default.
• W3100637519 creator A5000601948 @default.
• W3100637519 date "2015-12-14" @default.
• W3100637519 modified "2023-10-18" @default.
• W3100637519 title "Problems in number theory from busy beaver competition" @default.
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• W3100637519 doi "https://doi.org/10.2168/lmcs-11(4:10)2015" @default.
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