The strong Fermat-Catalan Equation
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866916961677475840 |
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| author | Mihailescu, Preda |
| author_facet | Mihailescu, Preda |
| contents | We give a cyclotomic proof of the fact that the equation $\frac{x^p + y^p}{x+y} = p^e z^q$ has no solutions in coprime integers $x,y,z$ and $p > 3; q$, a pair of distinct odd primes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_18275 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The strong Fermat-Catalan Equation Mihailescu, Preda Number Theory We give a cyclotomic proof of the fact that the equation $\frac{x^p + y^p}{x+y} = p^e z^q$ has no solutions in coprime integers $x,y,z$ and $p > 3; q$, a pair of distinct odd primes. |
| title | The strong Fermat-Catalan Equation |
| topic | Number Theory |
| url | https://arxiv.org/abs/2509.18275 |