ILL 1986 Problem 62

Determine all pairs of positive integers $(x, y)$ satisfying the equation $p^x - y^3 = 1$ , where $p$ is a given prime number.

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.