KMO 2016 Problem 1

$n$ is a positive integer. The number of solutions of $x^2+2016y^2=2017^n$ is $k$ . Write $k$ with $n$ .

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.