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Mathematical Citation Quotient 2011: 0.23
1Department of Mathematics, La Trobe University, Melbourne, Australia.
Citation Information: Integers. Volume 10, Issue 6, Pages 765–770, ISSN (Print) 1867-0652, DOI: 10.1515/integ.2010.103, December 2010
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.
Keywords.: Combinatorial game; Sprague–Grundy value; primes
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