AUSTRIAN-POLISH 1986 Problem 4

Find all triples (m,n,N) of positive integers numbers m,n and N such that $m^N-n^N=2^{100}$ with 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.