MathDB
1/x+1/y=1/p-1/q

Source: Serbia MO 2006 3&4th Grades P2

April 10, 2021
Diophantine equationnumber theory

Problem Statement

Given prime numbers pp and qq with p<qp<q, determine all pairs (x,y)(x,y) of positive integers such that 1x+1y=1p1q.\frac1x+\frac1y=\frac1p-\frac1q.