Nuts Problem

There are N N piles each consisting of a single nut. Two players in turns play the following game. At each move, a player combines two piles that contain coprime numbers of nuts into a new pile. A player who can not make a move, loses. For how many values of N N , where N > 2 N>2 will the first player win? Answer 1 -1 if you think it is unbounded


The answer is 0.

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