Find all pairs of integers ($a, b$) such that $a^2 + b = b^{1999}$ .
Problem
Source: 1999 Estonia National Olympiad Final Round grade 10 p1
Tags: number theory, diophantine, Diophantine equation
Source: 1999 Estonia National Olympiad Final Round grade 10 p1
Tags: number theory, diophantine, Diophantine equation
Find all pairs of integers ($a, b$) such that $a^2 + b = b^{1999}$ .