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MathNet 2014 Question 15

Math Olympiad Vault · MathNet 2014

Question 15

Two players play the following game. They take turns writing a positive integer greater than one, but may not write a linear combination of previously written numbers with nonnegative integer coefficients. A player who cannot write a new number loses. Does either player have a winning strategy, and if so, which player? (Aleksandar Ilić / “Kvant”)