MathDB

3

Part of 2014 Serbia National Math Olympiad

Problems(1)

SMO 2014

Source:

5/22/2015
Two players are playing game. Players alternately write down one natural number greater than 11, but it is not allowed to write linear combination previously written numbers with nonnegative integer coefficients. Player lose a game if he can't write a new number. Does any of players can have wiining strategy, if yes, then which one of them?
Journal "Kvant" / Aleksandar Ilic
combinatorics