A Combinatorial Game Having a Connection with Prime Numbers

نویسندگان

  • Grant Cairns
  • Nhan Bao Ho
چکیده

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.

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تاریخ انتشار 2010