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m^2 + n and n^2 + m are both perfect squares

Source: Canada Repêchage 2022/2 CMOQR

October 13, 2022
number theoryPerfect SquaresPerfect Square

Problem Statement

Determine all pairs of integers (m,n)(m, n) such that m2+nm^2 + n and n2+mn^2 + m are both perfect squares.
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