US-TST 2009 Problem 5

Find all pairs of positive integers $(m,n)$ such that $mn - 1$ divides $(n^2 - n + 1)^2$ .

Aaron Pixton.

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.