Question 63
Find all quadruples of positive integers $(p, q, a, b)$, where $p$ and $q$ are prime numbers and $a \gt 1$, such that
$$
p^{a}=1+5 q^{b}
$$
$$
p^{a}=1+5 q^{b}
$$
MathNet 2022-part-03 — 197 problems (EN–VI) Question 63
Math Olympiad Vault · MathNet 2022-part-03 — 197 problems (EN–VI)