IL-GILLIS 1997 Problem 5

The natural numbers $a_1,a_2,...,a_n, n \ge 12$ , are smaller than $9n^2$ and pairwise coprime. Show that at least one of these numbers is 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.