Question 1
Prove that infinitely many pairs of relatively prime positive integers $a,b\gt 1$ satisfy $a+b\mid a^b+b^a$.
Proposed by Gregory Galperin. Source: Evan Chen’s third-party compilation, not an official publication. One editorial point; manual grading only.
Proposed by Gregory Galperin. Source: Evan Chen’s third-party compilation, not an official publication. One editorial point; manual grading only.