OSN 2008 Problem 5

Let $m,n > 1$ are integers which satisfy $n|4^m - 1$ and $2^m|n - 1$ . Is it a must that $n = 2^{m} + 1$ ?

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.