On the Diophantine Equation 1/a + 1/b = (q+1) / pq

Academic Article

Abstract

  • Let $p$ and $q$ be distinct primes such that $q+1 | p-1$. In this paper we find all integer solutions $a$, $b$ to the equation $1/a + 1/b = (q+1)/pq$ using only elementary methods.
  • Keywords

  • 11D99
  • math.HO
  • math.NT