PL-OM 2001 Problem 4

Assume that $a,b$ are integers and $n$ is a natural number. $2^na+b$ is a perfect square for every $n$ .Prove that $a=0$ .

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.