JBMO-SL 2021 N1

Find all positive integers $a, b, c$ such that $ab + 1$ , $bc + 1$ , and $ca + 1$ are all equal to factorials of some positive integers.

Proposed by Nikola Velov, Macedonia

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.