Question 147
Let $m$, $n$, $a$, $k$ be positive integers and $k \gt 1$ such that the equality
$$
5^m + 63n + 49 = a^k
$$
holds. Find the minimum value of $k$.
$$
5^m + 63n + 49 = a^k
$$
holds. Find the minimum value of $k$.
MathNet 2022-part-05 — 197 problems (EN–VI) Question 147
Math Olympiad Vault · MathNet 2022-part-05 — 197 problems (EN–VI)