MEMO 2014 Problem 8

Determine all quadruples $(x,y,z,t)$ of positive integers such that $20^x + 14^{2y} = (x + 2y + z)^{zt}.$

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.