Question 98
Determine all pairs $(a, b)$ of positive integers such that
$$
a^2 + b = p^m \text{ and } b^2 + a = p^n
$$
for some prime $p$ and positive integers $m, n$.
$$
a^2 + b = p^m \text{ and } b^2 + a = p^n
$$
for some prime $p$ and positive integers $m, n$.