Results 71 to 80 of about 385 (161)

Primes in sequences associated to polynomials (after Lehmer) [PDF]

open access: yes, 2000
In a paper of 1933, D.H. Lehmer continued Pierce's study of integral sequences associated to polynomials, generalizing the Mersenne sequence. He developed divisibility criteria, and suggested that prime apparition in these sequences -- or in closely ...
Ward, Thomas   +8 more
core   +1 more source

BINARY BBP-FORMULAE FOR LOGARITHMS AND GENERALIZED GAUSSIAN-MERSENNE PRIMES

open access: yes, 2008
... k=0 p(k) q(k)b k where p and q are integer polynomials, deg p < deg q, and p(k)/q(k) is non-singular for non-negative k and b ≥ 2, have special properties.
Marc Chamberland
core  

Perfect numbers and Mersenne numbers

open access: yes, 2022
В статті розглянуто натуральні числа та прості числа Мерсенна. Свою назву вони отримали в честь французького ченця Мерена Мерсенна (1588–1648), який займався проблемою досконалих чисел.
Сіра, І., Мазур, К.
core  

Fermat Primes.

open access: yes
Properties related to Fermat Primes, their connectedness with Mersenne Numbers and the reason why there are not infinite many Mersenne Primes and Perfect Numbers.
César Aguilera (17784863)
core   +1 more source

ENCICLOPEDIA MATEMATICĂ A CLASELOR DE NUMERE ÎNTREGI [PDF]

open access: yes, 2013
Numerele naturale au fascinat dintotdeauna omenirea, ce le-a considerat, pe bună dreptate, ca fiind mai mult decât mijloace de a studia cantităţile, le-a considerat entităţi având o personalitate proprie.
Coman, Marius
core   +1 more source

Strongly Base-Two Groups. [PDF]

open access: yesVietnam J Math, 2023
Burness TC, Guralnick RM.
europepmc   +1 more source

Engel varieties of associative rings and the number of Mersenne primes

open access: yes, 2003
An associative ring R can be viewed as a semigroup via a∘b=a+b+ab, and as a Lie ring via [a,b]=ab−ba. It is known that the Lie ring [R] is nilpotent if and only if the adjoint semigroup (R,∘) is nilpotent (in the sense defined by Mal'cev or by Neumann ...
Riley, David M.
core   +1 more source

The Mersenne Primes

open access: yes
This is a unique system for finding Mersenne Primes Deveolped by Branden Lee ...
openaire   +2 more sources

Identificación de candidatos a primos Mersenne mediante clasificación ova-angular utilizando aprendizaje automático con regresión SVM y Kernel Gaussiano

open access: yes, 2023
In this paper three prime numbers are presented as high potentials to be Mersenne numbers and their application in computational primality testing is suggested.
Loaiza-Ossa, Gabriel Ignacio   +1 more
core  

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