Find all primes $p,q,r$ and natural numbers $n$ such that $\frac{1}{p}+\frac{1}{q}+\frac{1}{r}=\frac{1}{n}$.
Problem
Source: Norwegian Mathematical Olympiad 1994 - Abel Competition p2a
Tags: diophantine, primes, number theory, Diophantine equation
Source: Norwegian Mathematical Olympiad 1994 - Abel Competition p2a
Tags: diophantine, primes, number theory, Diophantine equation
Find all primes $p,q,r$ and natural numbers $n$ such that $\frac{1}{p}+\frac{1}{q}+\frac{1}{r}=\frac{1}{n}$.