Results 41 to 50 of about 398,588 (120)
Marin Mersenne: Minim Monk and Messenger; Monotheism, Mathematics, and Music [PDF]
, 2019 If you have taught a number theory course or even watched the mathematical news, you know that occasionally a new (and enormous) “Mersenne prime” is discovered.
Crisman, Karl-Dieter
core +1 more source
, 2009 The authors present several lemmas and theorems on Mersenne’s prime numbers. Some theorems are new. Of particular interest is the proof of primality tests on the Mersenne composite and the demonstration that the “New Mersenne Conjecture” is ...
Colonnese, Maria, Turco, Rosario
core +1 more source
Identificación de candidatos a primos Mersenne mediante clasificación ova-angular utilizando aprendizaje automático con regresión SVM y Kernel Gaussiano [PDF]
, 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
Tower Mersenne Primes Are Infinitely Many
Against to Mersenne prime using Proposition transformation method, based on Euler’s function and n order remainder theorem,the au?thors have proved that the necessary and sufficient condition for that module M has primitive root is that x in the equation
唐子周
core +1 more source
On $k$-Mersenne and k-Mersenne-Lucas Octonions
, 2022 This paper aims to introduce the $k$-Mersenne and $k$-Mersenne-Lucas octonions. We give the closed form formulae for these octonions and obtain some well-known identities like Cassini's identity, d'Ocagne's identity, Catalan identity, Vajda's identity ...
Prasad, Kalika +2 more
core
Factorization of cyclotomic polynomial values at Mersenne primes
We get some results about the factorization of $ϕ_p(M) \in {\mathbb{F}}_2[x]$, where $p$ is a prime number, $ϕ_p$ is the corresponding cyclotomic polynomial and $M$ is a Mersenne prime (polynomial).
Gallardo, Luis, Rahavandrainy, Olivier
core +1 more source
The other side of Mersenne Primes [PDF]
Mersenne numbers, (2^n)-1, with natural number n, are like pay dirt, containing dirt and apparent gold. They entice us to ask: which of these numbers are prime, which are not, and if not, why not - especially the shiny ones? We address the "why not?" of
Klintberg, Amy
core +1 more source
Perfect numbers and Mersenne numbers
, 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
Strongly Base-Two Groups. [PDF]
Vietnam J Math, 2023 Burness TC, Guralnick RM.
europepmc +1 more source
Learned pseudo-random number generator: WGAN-GP for generating statistically robust random numbers. [PDF]
PLoS One, 2023 Okada K +3 more
europepmc +1 more source