ÖMO 2003 Problem 1

Consider the polynomial $P(n) = n^3 -n^2 -5n+ 2$ . Determine all integers $n$ for which $P(n)^2$ is a square of a prime.

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.