RO-TST 1996 Problem 11

Find all primes $p,q$ such that $\alpha^{3pq} -\alpha \equiv 0 \pmod {3pq}$ for all integers $\alpha$ .

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.