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DE-BUNDESWETTBEWERB 2013 Problem 5

  • Round 2

Suppose mm and nn are positive integers such that m2+n2+mm^2+n^2+m is divisible by mnmn . Prove that mm is a square number.

Dataset text AI-MO AoPS. Quoted with source.

Official text: Bundeswettbewerb Mathematik 2013 official paper, page 1.

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