On special Wieferich's primes
Number Theory
2010-02-23 v1
Authors:
Luis H. Gallardo
Abstract
We prove that there are no Wieferich's primes q=2p+1 where p≡3(mod4) is a prime number
Cite
@article{arxiv.1002.3840,
title = {On special Wieferich's primes},
author = {Luis H. Gallardo},
journal= {arXiv preprint arXiv:1002.3840},
year = {2010}
}
Comments
short paper
Related papers
View all related →
General Mathematics · Mathematics
Results for Wieferich Primes
N. A. Carella
2018-05-08
Number Theory · Mathematics
Wieferich Primes and Monogenic Trinomials
Lenny Jones
2026-05-25
Number Theory · Mathematics
Lerch Quotients, Lerch Primes, Fermat-Wilson Quotients, and the Wieferich-non-Wilson Primes 2, 3, 14771
Jonathan Sondow
2014-12-16
Number Theory · Mathematics
On Asymptotic Fermat over $\mathbb{Z}_p$ extensions of $\mathbb{Q}$
Nuno Freitas, Alain Kraus, Samir Siksek
2020-10-21
Number Theory · Mathematics
Quadratic residues that are not primitive roots
Tamiru Jarso, Tim Trudgian
2017-10-16
General Mathematics · Mathematics
On Fermat's Last Theorem for odd prime exponents
Zenon B. Batang
2023-04-04
Combinatorics · Mathematics
On large maximal partial ovoids of the parabolic quadric $\q(4,q)$
Jan De Beule
2012-03-09
Number Theory · Mathematics
The strong Fermat-Catalan Equation
Preda Mihailescu
2025-09-24
Number Theory · Mathematics
On the existence of $S$-Diophantine quadruples
Volker Ziegler
2018-07-10
Number Theory · Mathematics
There are no socialist primes less than 10^9
Tim Trudgian
2015-07-02
Number Theory · Mathematics
On $px^2 + q^{2n}= y^p$ and related Diophantine equations
A. Laradji, M. Mignotte, N. Tzanakis
2021-08-27
Number Theory · Mathematics
On convolutions of Euler numbers
Zhi-Wei Sun
2010-12-22
Number Theory · Mathematics
A solution to a Paul Erdos problem
Vyacheslav M. Abramov
2025-05-09
Number Theory · Mathematics
Wieferich primes in number fields and the conjectures of Ankeny--Artin--Chowla and Mordell
Nic Fellini, M. Ram Murty
2026-02-12
Number Theory · Mathematics
Quadratic non-residues and non-primitive roots satisfying a coprimality condition
Jaitra Chattopadhyay, Bidisha Roy, Subha Sarkar, R. Thangadurai
2018-09-14
Number Theory · Mathematics
Non-existence of certain semistable abelian varieties
Armand Brumer, Kenneth Kramer
2007-05-23
Number Theory · Mathematics
Solving diophantine equations x^4 + y^4 = q z^p
Luis Dieulefait
2007-05-23
Number Theory · Mathematics
Beyond and slightly aside of the Fermat Desert
Boris Bartolomé, Preda Mihailescu
2025-09-24
Number Theory · Mathematics
On Sinha's note on perfect numbers
Tomohiro Yamada
2020-10-20
High Energy Physics - Theory · Physics
A Proof of the Odd Perfect Number Conjecture
Simon Davis
2008-06-02
Number Theory · Mathematics
On second case of Strong Fermat's Last Theorem conjecture
Roland Quême
2013-05-30
Number Theory · Mathematics
On Class Numbers of Pure Quartic fields
Jianing Li, Yue Xu
2019-12-12
Number Theory · Mathematics
Searching for a counterexample to Kurepa's Conjecture
Vladica Andrejić, Milos Tatarevic
2016-07-21
Number Theory · Mathematics
Overpseudoprimes, Mersenne Numbers and Wieferich primes
Vladimir Shevelev
2012-03-19
Number Theory · Mathematics
A search for primes $p$ such that Euler number $E_{p-3}$ is divisible by $p$
Romeo Mestrovic
2018-04-10