MathDB
Chisinau MO p70 1973 p = q if naturals, p^p + q^q = p^q + q^p

Source:

March 15, 2021
diophantineDiophantine equationnumber theory

Problem Statement

The natural numbers p,qp, q satisfy the relation pp+qq=pq+qpp^p + q^q = p^q + q^p. Prove that p=qp = q.
Back to ProblemsView on AoPS