Question 98
Find all positive integer numbers $x, y, p, n, k$ such that:
$$
\begin{cases}
5x + y = p^k, \\
5y + x = p^{k+n}.
\end{cases}
$$
$$
\begin{cases}
5x + y = p^k, \\
5y + x = p^{k+n}.
\end{cases}
$$
MathNet 2018-part-06 — 181 problems (EN–VI) Question 98
Math Olympiad Vault · MathNet 2018-part-06 — 181 problems (EN–VI)