US-TST 2007 Problem 4

Determine whether or not there exist positive integers $a$ and $b$ such that $a$ does not divide $b^n - n$ for all positive integers $n$ .

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.