MathDB
SMO 2014

Source:

May 22, 2015
combinatorics

Problem Statement

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