Results 61 to 70 of about 524 (199)

Mersenne k-Fibonacci numbers

, 2016
For an integer k≥ 2, let (Fn(k))n be the k-Fibonacci sequence which starts with 0,...,0,1 (k terms) and each term afterwards is the sum of the k preceding terms. In this paper, we find all k-Fibonacci numbers which are Mersenne numbers, i.e., k-Fibonacci
Carlos A. Gómez, Jhon J. Bravo, Gómez, Carlos A., Bravo, Jhon J.   +3 more
core   +1 more source

SR-groups of Order 2ⁿp^m with Dihedral Sylow 2-subgroup

Моделирование и анализ информационных систем, 2007
The structure of SR-groups with dihedral Sylow 2-subgroup modulo Frattini subgroup is described. It is proved that if a group О is a non-supersolvable SR-group of order 2npm with dihedral Sylow 2-subgroup, p is Mersenne prime.
V. V. Yanishevskiy
doaj  

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

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  

Marin Mersenne, moine mathématicien et philosophe [PDF]

, 2017
Où l’on connaît Mersenne comme mascotte des fanatiques d’informatique traqueurs de nombres premiers (site Great Internet Mersenne Prime Search), et où l’on découvre le moine minime assez virulent prédicateur contre-réformiste quelques années avant ses ...
Taussig, Sylvie
core   +1 more source

Variational approaches to the elasticity of deformable strings with and without mass redistribution

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 104, Issue 8, August 2024.
Abstract The catenary is a curve that has played a significant role in the history of mathematics, finding applications in various disciplines such as mechanics, technology, architecture, the arts, and biology. In this paper, we introduce some generalizations by applying the variational method to deformable strings.
Stefano Giordano
wiley   +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

Sampling and misspecification errors in the estimation of observation‐error covariance matrices using observation‐minus‐background and observation‐minus‐analysis statistics

Quarterly Journal of the Royal Meteorological Society, Volume 150, Issue 762, Page 3052-3077, July 2024 Part A.
When estimating observation‐error covariance matrices using observation‐minus‐background and observation‐minus‐analysis residuals obtained from data assimilation systems, the error comes from two sources. The first is the indirect sampling error caused by using a finite sample of residual vectors, which depends largely on the ratio of vector size to ...
Guannan Hu, Sarah L. Dance
wiley   +1 more source

On the anti‐intercept features of noise radars

IET Radar, Sonar &Navigation, Volume 18, Issue 7, Page 1014-1035, July 2024.
An evaluation of the related Low Probability of Detection, of Intercept and of Exploitation is presented for Continuous‐Emission Noise Radar waveforms with different operational parameters, that is, “tailored”, and with various “degrees of randomness”. The effect of “tailoring” is analysed with prospects for future work.
Gaspare Galati, Gabriele Pavan
wiley   +1 more source

LETTER Special Section on Cryptography and Information Security Simple Power Analysis on Fast Modular Reduction with

, 2006
SUMMARY We discuss side channel leakage from modular reduction for NIST recommended domain parameters. FIPS 186-2 has 5 recommended prime fields. These primes have a special form which is referred to as generalized Mersenne prime.
Generalized Mersenne, Curve Cryptosystems, Prime Elliptic   +2 more
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