Difference between revisions of "JMPSC 2022 Division 1 Round 2 Problem 14"

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Revision as of 16:07, 6 August 2022

Problem

Find the number of orderer pairs of positive integers $(m,n)$ such that

\[n^2 + m^3 = mn\]

and $|m|,|n| \le 100$.

Solution