• Corpus ID: 147704266

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

@article{Johnson2019OnTD,
  title={On the Diophantine Equation 1/a + 1/b = (q+1) / pq},
  author={Jeremiah W. Johnson},
  journal={arXiv: History and Overview},
  year={2019}
}

• Jeremiah W. Johnson
• Published 6 May 2019
• Mathematics
• arXiv: History and Overview

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.