Question 132
Find all ordered triples of positive integers $(a, b, c)$ such that
$$
a^b + b^c + c^a = a^c + b^a + c^b
$$
holds.
$$
a^b + b^c + c^a = a^c + b^a + c^b
$$
holds.
MathNet 2017-part-06 — 176 problems (EN–VI) Question 132
Math Olympiad Vault · MathNet 2017-part-06 — 176 problems (EN–VI)