Question 78
Find all triples $(a, b, p)$ of positive integers where $p$ is prime and the equation
$$
(a+b)^{p} = p^{a} + p^{b}
$$
holds.
$$
(a+b)^{p} = p^{a} + p^{b}
$$
holds.
MathNet 2023-part-06 — 191 problems (EN–VI) Question 78
Math Olympiad Vault · MathNet 2023-part-06 — 191 problems (EN–VI)