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MathNet 2017-part-02 — 176 problems (EN–VI) Question 37

Math Olympiad Vault · MathNet 2017-part-02 — 176 problems (EN–VI)

Question 37

Prove that there are no positive integers $m$ and $n$ such that
$$
5m^3 = 27n^4 - 2n^2 + n.
$$