IR-MO 1996 Problem 6

Find all pairs $(p,q)$ of prime numbers such that $m^{3pq} \equiv m \pmod{3pq} \forall m \in \mathbb Z.$

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.