A short proof of the conjecture of Erd\'{o}s--Straus for every $n\equiv 13 \textrm{ mod }24$
| Autor: | Gionfriddo, Mario, Guardo, Elena |
|---|---|
| Rok vydání: | 2020 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1080/09720502.2021.1907018 |
| Popis: | 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 $n\equiv13 \textrm{ mod } 24.$ Comment: 6 pages, J. Interdiscip. Math published on line 23 June 2021, In press |
| Databáze: | arXiv |
| Externí odkaz: |
|