NL-NWO 1969 Problem 2

Prove that for all $n \in N$ , $x^2 + y^2 = z^n$ has solutions with $x,y,z \in N$ .

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.