Nemotron-IMO-Bench 2026 N18

Find all functions $f: \mathbf{N}\to \mathbf{Z}$ such that $(m-n)(f(m)-f(n))$ is a perfect square for all $m,n$ .

Dataset text Nemotron-IMO-Bench. Open licence.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.