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Zbl 1203.91042
Cairns, Grant; Ho, Nhan Bao
Min, a combinatorial game having a connection with prime numbers.
(English)
[J] Integers 10, No. 6, 765-770 (2010). ISSN 1867-0652

Summary: We introduce a two person game played with a pair of nonnegative integers; a move consists of subtracting from the larger integer, a positive integer no greater than the smaller integer. The player who reduces one of the integers to zero wins. The game is curious in several respects: in particular, its Sprague-Grundy values have an interesting connection with prime numbers.
MSC 2000:
*91A46 Combinatorial games

Keywords: combinatorial game; Sprague-Grundy value; primes

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Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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