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ITOT 42 Autumn 2020 - THCS O - Additive practice Question 3

ITOT · ITOT 42 Autumn 2020 - THCS O - Additive practice

Question 3

A pile contains $n$ stones. Two players alternate taking either one stone or $p$ stones, where $p$ is a prime divisor of the current pile size. The player taking the last stone wins. For which positive integers $n$ can the first player force a win?

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