Prove there exist infinitely many pairs $(x,y)$ of integers $1<x<y$, such that $x^3+y \mid x+y^3$. (Dan Schwarz)
Problem
Source: Stars Of Mathematics 2014, Juniors, Problem 1
Tags: number theory, Diophantine equation
Source: Stars Of Mathematics 2014, Juniors, Problem 1
Tags: number theory, Diophantine equation
Prove there exist infinitely many pairs $(x,y)$ of integers $1<x<y$, such that $x^3+y \mid x+y^3$. (Dan Schwarz)