RO-TST 2008 Problem 12

Let $m,\ n \geq 3$ be positive odd integers. Prove that $2^{m}-1$ doesn't divide $3^{n}-1$ .

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.