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Start Over Author "Johnson, Jeremiah W." Topic mathematics - number theory
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1. On the Diophantine Equation 1/a + 1/b = (q+1) / pq

Author

Johnson, Jeremiah W.

Subjects
Mathematics - History and Overview, Mathematics - Number Theory, 11D99
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.

Published
2019

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