Equipment:
A number of counters (or coins or matches or any small objects)
Number of players:
2
The Set-up:
The counters are arranged into several 'heaps'.
Here is a typical three-heap game:
A Move:
At your turn you may remove m counters from a heap of size n only if m and n are coprime (i.e. they have only 1 as a common factor).
You win:
If your opponent has no valid move.
Comments:
In the game above the following are legal moves for the opening player:
From Heap 1 remove 1, 3, 5 or 7 counters. From Heap 2 remove 1 or 5 counters. From heap 3 remove 1, 2, 3 or 4 counters.
Variations:
In the above description of the game, removing 1 counter from a heap of size 1 is a legal move. There is a variation, called Prim-, that makes this move illegal.
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