alternately write divisors of 100! on the blackboard
Source: 16-th Hungary-Israel Binational Mathematical Competition 2003
March 30, 2007
greatest common divisorcombinatorics unsolvedcombinatorics
Problem Statement
Two players play the following game. They alternately write divisors of
on the blackboard, not repeating any of the numbers written before. The player after whose move the greatest common divisor of the written numbers equals loses the game. Which player has a winning strategy?