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MathNet 2017-part-02 — 176 problems (EN–VI) Question 5

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

Question 5

Find all pairs $(m, n)$ of positive integers which satisfy the equation
$$
m n^2 = 100(n + 1).
$$
(Ukraine 2009)