Question 13
Determine all positive integers $m$, $n$ and prime numbers $p$ such that
$$
\frac{5^m + 2^n p}{5^m - 2^n p}
$$
is a square of an integer.
$$
\frac{5^m + 2^n p}{5^m - 2^n p}
$$
is a square of an integer.
MathNet 2026 — Part 08 Question 13
Math Olympiad Vault · MathNet 2026 — Part 08