olymmath

USAMO 1984 Problem 2

  • Day 1

Can one find a set of nn distinct positive integers such that the geometric mean of any (non-empty, finite) subset is an integer? Can one find an infinite set with this property?

Dataset text NuminaMath olympiads. Quoted with source.

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Locator usamo/1984/p2 · Tag D9ZEDRXN70 · Edit this page on GitHub · Keys: j next, k previous