One-pile Nim

Starting counters: 21

15 30

Opponent

Human Computer Novice Computer Expert

Who goes first?

Player 1 Player 2 Random

Taking rules

1, 2 or 3 counters Any square number (1, 4, 9, 16, 25, …) Any prime, or 1 (1, 2, 3, 5, 7, 11, …)

Misère version

In the standard game the player who takes the last counter wins.
In the misère version the player who takes the last counter loses.

Settings