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arXiv · 1905.03056

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

Jeremiah W. Johnson
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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.

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Jeremiah W. Johnson. 2019-05-06. On the Diophantine Equation 1/a + 1/b = (q+1) / pq. https://arxiv.org/abs/1905.03056

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