Question 7
Find all pairs of prime numbers $(p, q)$ for which there exist positive integers $(m, n)$ such that
$$
(p+q)^{m} = (p-q)^{n}
$$
$$
(p+q)^{m} = (p-q)^{n}
$$
MathNet 2024-part-04 — 168 problems (EN–VI) Question 7
Math Olympiad Vault · MathNet 2024-part-04 — 168 problems (EN–VI)