No new Goormaghtigh primes up to $10^{700}$

Autor:	Grantham, Jon
Rok vydání:	2024
Předmět:	Mathematics - Number Theory
Druh dokumentu:	Working Paper
Popis:	The Goormaghtigh conjecture states that the only two numbers which have two non-trivial representations as repunits are $31$ and $8191$. We call such a prime number a {\it Goormaghtigh prime}. We show that there are no other Goormaghtigh primes less than $10^{700}$.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2410.03677 Zobrazit plný text záznamu View this record from Arxiv