Results 71 to 80 of about 1,598,417 (209)

Mersenne Primes in Certain Lucas Sequences [PDF]

EPJ Web of Conferences
Prime numbers are the most important numbers in number theory and cryptography. One of such special primes are given by the set of Mersenne primes, that are derived from the form Mn = 2n − 1, where n is a prime number.
Hadi Ahmed H., Hashim Hayder R.
doaj   +1 more source

Divisors of Mersenne numbers [PDF]

Mathematics of Computation, 1983
We add to the heuristic and empirical evidence for a conjecture of Gillies about the distribution of the prime divisors of Mersenne numbers. We list some large prime divisors of Mersenne numbers
openaire   +2 more sources

Converting Binary Floating‐Point Numbers to Shortest Decimal Strings: An Experimental Review

Software: Practice and Experience, Volume 56, Issue 4, Page 462-478, April 2026.
ABSTRACT Background When sharing or logging numerical data, we must convert binary floating‐point numbers into their decimal string representations. For example, the number π might become 3.1415927. Engineers have perfected many algorithms for producing such accurate, short strings.
Jaël Champagne Gareau, Daniel Lemire
wiley   +1 more source

On the intersections of nilpotent subgroups in simple groups

Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.
Abstract Let G$G$ be a finite group and let Hp$H_p$ be a Sylow p$p$‐subgroup of G$G$. A recent conjecture of Lisi and Sabatini asserts the existence of an element x∈G$x \in G$ such that Hp∩Hpx$H_p \cap H_p^x$ is inclusion‐minimal in the set {Hp∩Hpg:g∈G}$\lbrace H_p \cap H_p^g \,:\, g \in G\rbrace$ for every prime p$p$.
Timothy C. Burness, Hong Yi Huang
wiley   +1 more source

Acerca de algunos exponentes de Mersenne (About some Mersenne exponents)

Revista Digital Matemática, Educación e Internet
Los números primos de Mersenne crecen de manera vertiginosa y se vuelven intratables con las herramientas de cómputo actuales. En este trabajo se repasan brevemente las cadenas de Mersenne para mostrar cómo ese crecimiento exponencial impone un límite en
Gerardo Miramontes de León
doaj   +1 more source

Exact Inverse Matrices of Fermat and Mersenne Circulant Matrix

Abstract and Applied Analysis, 2015
The well known circulant matrices are applied to solve networked systems. In this paper, circulant and left circulant matrices with the Fermat and Mersenne numbers are considered. The nonsingularity of these special matrices is discussed.
Yanpeng Zheng, Sugoog Shon
doaj   +1 more source

Fast, high-quality pseudo random number generators for heterogeneous computing [PDF]

EPJ Web of Conferences
Random number generation is key to many applications in a wide variety of disciplines. Depending on the application, the quality of the random numbers from a particular generator can directly impact both computational performance and critically the ...
Barbone Marco, Gaydadjiev Georgi, Howard Alexander, Luk Wayne, Savvidy George, Savvidy Konstantin, Rose Andrew, Tapper Alexander   +7 more
doaj   +1 more source

On the factors of certain Mersenne numbers. II [PDF]

Mathematics of Computation, 1964
Verf. läßt einer mit \textit{G. D. Johnson} gemeinsam veröffentlichten Arbeit [Math. Comput. 14, 365--369 (1960; Zbl 0099.26305)] einen zweiten Teil folgen. Dieser verzeichnet \(899\) neue Faktoren \(q\) von \(M_p\), für \(383\le p < 20000\) und dient gleichsam als Vervollständigung früherer derartiger Verzeichnisse, etwa \textit{S.
openaire   +2 more sources

The Challenge of Time‐to‐Event Analysis for Multiple Events: A Guided Tour From Time‐to‐First‐Event to Recurrent Time‐to‐Event Analysis

Biometrical Journal, Volume 68, Issue 1, February 2026.
ABSTRACT Clinical trials often compare a treatment to a control group concerning multiple possible combined time‐to‐event endpoints like hospital‐free survival. Thereby, the first endpoint may occur more than once (“recurrent”), whereas the second endpoint is absorbing. Inclusion of all observed events in the analysis can increase the power and provide
Sandra Schmeller, Alexandra Erdmann, Jan Beyersmann, Christiane Angermann, Ann‐Kathrin Ozga   +4 more
wiley   +1 more source

Mersenne Matrix Operator and Its Application in $p-$Summable Sequence Space

Communications in Advanced Mathematical Sciences
In this study, it is introduced the regular Mersenne matrix operator which is obtained by using Mersenne numbers and examined sequence spaces described as the domain of this matrix in the space of $p$-summable sequences for $1\leq p \leq \infty$.
Sezer Erdem, Serkan Demiriz
doaj   +1 more source