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MathNet 2016-part-02 — 184 problems (EN–VI) Question 183

Math Olympiad Vault · MathNet 2016-part-02 — 184 problems (EN–VI)

Question 183

Determine all pairs $(m, n)$ of positive integers for which
$$
(m+n)^3 \mid 2 n\left(3 m^2+n^2\right)+8
$$