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arXiv · 2005.03273

A short proof of the conjecture of Erd\"{o}s--Straus for every $n\equiv 13 \textrm{ mod }24$

Mario Gionfriddo·Elena Guardo
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Abstract

The Erd\"{o}s--Straus conjecture states that the equation $\frac{4}{n}=\frac{1}{x}+\frac{1}{y}+\frac{1}{z}$ has positive integer solutions $x,y,z$ for every postive integers $n\geq 2$. In this short note we find explicity the solutions of the famous conjecture for the case $n\equiv13 \textrm{ mod } 24.$

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Mario Gionfriddo, Elena Guardo. 2020-05-07. A short proof of the conjecture of Erd\"{o}s--Straus for every $n\equiv 13 \textrm{ mod }24$. https://doi.org/10.1080/09720502.2021.1907018

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