2 player game with divisors of 328 (2016 Auckland MO J2)
Source:
November 13, 2021
number theorygamecombinatorics
Problem Statement
The number is written on the board. Two players alternate writing positive divisors of on the board, subject to the following rules:
No divisor of a previously written number may be written.
The player who writes 328 loses.
Who has a winning strategy, the first player or the second player?