AT-OEMO-FED1 2013 Problem 1

Show that if for non-negative integers $m$ , $n$ , $N$ , $k$ the equation $(n^2+1)^{2^k}\cdot(44n^3+11n^2+10n+2)=N^m$ holds, then $m = 1$ .

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.