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MathNet 2019-part-06 — 184 problems (EN–VI) Question 149

Math Olympiad Vault · MathNet 2019-part-06 — 184 problems (EN–VI)

Question 149

Determine all pairs $(m, n)$ of non-negative integers that satisfy the equation
$$
20^m - 10m^2 + 1 = 19^n.
$$