Question 135
Find all triples of positive integers $(a, b, p)$ such that $p$ is a prime and
$$
\frac{5^a + 2^b p}{5^a - 2^b p}
$$
is a perfect square of a positive integer.
$$
\frac{5^a + 2^b p}{5^a - 2^b p}
$$
is a perfect square of a positive integer.