Aime 2025 1

Aime 2025 1. The first link contains the full set of test problems. The intersections are thus all in.

Many of these problems and solutions are also available in the aops resources section. For integer n such that p 2 ∣ n 4 + 1, we have p ∣ n 4 + 1, hence p ∤ n 4 − 1, but p ∣ n 8 − 1.