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arxiv: 1905.03056 · v1 · pith:5FIOQRJLnew · submitted 2019-05-06 · 🧮 math.HO · math.NT

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

classification 🧮 math.HO math.NT
keywords equationdiophantinedistinctelementaryfindintegermethodsonly
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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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