Results 61 to 70 of about 384 (160)
Perfect numbers and Mersenne numbers [PDF]
, 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
IET Radar, Sonar &Navigation, Volume 19, Issue 1, January/December 2025.This paper proposes an improved group target tracking algorithm based on rigid‐body similarity model and measurement fusion, implemented across different random finite set filtering frameworks. The method outperforms traditional VLFM algorithms in the GMPHD framework and demonstrates robustness against varying clutter densities in the PMBM framework ...
Kai Chang +4 more
wiley +1 more source
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
mid-pSquare: Leveraging the Strong Side-Channel Security of Prime-Field Masking in Software
Transactions on Cryptographic Hardware and Embedded SystemsEfficiently protecting embedded software implementations of standard symmetric cryptographic primitives against side-channel attacks has been shown to be a considerable challenge in practice.
Brieuc Balon +5 more
doaj +1 more source
Weakly subnormal subgroups and variations of the Baer–Suzuki theorem
Journal of the London Mathematical Society, Volume 111, Issue 1, January 2025.Abstract A subgroup R$R$ of a finite group G$G$ is weakly subnormal in G$G$ if R$R$ is not subnormal in G$G$ but it is subnormal in every proper overgroup of R$R$ in G$G$. In this paper, we first classify all finite groups G$G$ that contains a weakly subnormal p$p$‐subgroup for some prime p$p$.
Robert M. Guralnick +2 more
wiley +1 more source
On the convergence property of the sum of reciprocals of Mersenne primes [PDF]
, 2014 The sum of reciprocals of Mersenne primes converges to 0.51645417894078856533・・・
Tanaka, Yoshihiro
core
Engel varieties of associative rings and the number of Mersenne primes [PDF]
, 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
Mersenne Primes in Real Quadratic Fields
, 2012 The concept of Mersenne primes is studied in real quadratic fields of class number 1. Computational results are given. The field $Q(\sqrt{2})$ is studied in detail with a focus on representing Mersenne primes in the form $x^{2}+7y^{2}$. It is also proved that $x$ is divisible by 8 and $y\equiv \pm3\pmod{8}$ generalizing the result of F Lemmermeyer ...
Palimar, Sushma, Shankar, B. R.
openaire +3 more sources
IET Image Processing, Volume 18, Issue 13, Page 4189-4206, 13 November 2024.This research work presents a novel secured spatial steganography algorithm consisting of three stages. In the first stage, a secret message is divided into three parts, each is encrypted using a tan logistic map encryption key with a unique seed value.
Wassim Alexan +5 more
wiley +1 more source
Strong divisibility sequences and sieve methods
Mathematika, Volume 70, Issue 4, October 2024.Abstract We investigate strong divisibility sequences and produce lower and upper bounds for the density of integers in the sequence that only have (somewhat) large prime factors. We focus on the special cases of Fibonacci numbers and elliptic divisibility sequences, discussing the limitations of our methods.
Tim Browning, Matteo Verzobio
wiley +1 more source