AUSTRIAN-POLISH 2003 Problem 4

A positive integer $m$ is alpine if $m$ divides $2^{2n+1} + 1$ for some positive integer $n$ . Show that the product of two alpine numbers is alpine.

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.