Determine all pairs (x,y) of integers satisfying (x+2)4−x4=y3.
Problem
Source: Bundeswettbewerb Mathematik 2024, Round 2 - Problem 1
Tags: number theory, number theory proposed, Diophantine equation
Source: Bundeswettbewerb Mathematik 2024, Round 2 - Problem 1
Tags: number theory, number theory proposed, Diophantine equation
Determine all pairs (x,y) of integers satisfying (x+2)4−x4=y3.