Question 80
Find all triples $(a, b, p)$ of natural numbers such that $p$ is a prime and the equation
$$
(a+b)^{p}=p^{a}+p^{b}
$$
is satisfied.
$$
(a+b)^{p}=p^{a}+p^{b}
$$
is satisfied.
MathNet 2023-part-06 — 191 problems (EN–VI) Question 80
Math Olympiad Vault · MathNet 2023-part-06 — 191 problems (EN–VI)