ÖMO 1983 Problem 5

Given positive integers $a,b,$ find all positive integers $x,y$ satisfying the equation: $x^{a+b}+y=x^a y^b$ .

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.