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JMPSC 2022 Division 1 Round 2 Problem 14

Revision as of 16:07, 6 August 2022 by Mathdreams (talk | contribs) (Created page with "==Problem== Find the number of orderer pairs of positive integers <math>(m,n)</math> such that <cmath>n^2 + m^3 = mn</cmath> and <math>|m|,|n| \le 100</math>. ==Solution==")
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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

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