APMO 2012 Problem 3

Determine all the pairs $(p , n )$ of a prime number $p$ and a positive integer $n$ for which $\frac{ n^p + 1 }{p^n + 1}$ is an integer.

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.