Question 163
Find all pairs $(p,q)$, $p,q \in \mathbb{N}$, such that
$$
(p+1)^{p-1} + (p-1)^{p+1} = q^q.
$$
$$
(p+1)^{p-1} + (p-1)^{p+1} = q^q.
$$
MathNet 2018-part-03 — 181 problems (EN–VI) Question 163
Math Olympiad Vault · MathNet 2018-part-03 — 181 problems (EN–VI)