On the Diophantine Equation 1/a + 1/b = (q+1) / pq
Abstract
Let $p$ and $q$ be distinct primes such that $q+1  p1$. In this paper we find all integer solutions $a$, $b$ to the equation $1/a + 1/b = (q+1)/pq$ using only elementary methods.
 Publication:

arXiv eprints
 Pub Date:
 May 2019
 arXiv:
 arXiv:1905.03056
 Bibcode:
 2019arXiv190503056J
 Keywords:

 Mathematics  History and Overview;
 Mathematics  Number Theory;
 11D99