Results 31 to 40 of about 986 (177)

Partitions of numbers and the algebraic principle of Mersenne, Fermat and even perfect numbers [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
Let ρ be an odd prime greater than or equal to 11. In a previous work, starting from an M-cycle in a finite field 𝔽_ρ, it has been established how the divisors of Mersenne, Fermat and Lehmer numbers arise.
A. M. S. Ramasamy
doaj   +1 more source

The q-Integers and the Mersenne Numbers [PDF]

open access: yesSSRN Electronic Journal, 2018
Here we will show that the q-integers, the q-analogue of the integers that we can find in the q-calculus, are forming an additive group having a generalized sum similar to the sum of the Tsallis q-entropies of independent systems. The symmetric form of q-integers will be studied too.
openaire   +2 more sources

ON GAUSSIAN MERSENNE NUMBERS

open access: yesJournal of Science and Arts, 2021
In this paper, we define Gaussian Mersenne numbers and we give some properties of them. Moreover we present some relations among Gaussian Mersenne numbers, Gaussian Jacobsthal numbers and Gaussian Jacobsthal-Lucas numbers. We also present some results with matrices involving Gaussian Mersenne numbers.
openaire   +1 more source

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

open access: yesEPJ 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   +7 more
doaj   +1 more source

Mersenne k-Fibonacci numbers

open access: yesGlasnik matematički, 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 numbers that are equal to 1 less than a power of 2.
Bravo, Jhon J., Gómez, Carlos A.
openaire   +3 more sources

Development of modified RSA algorithm using fixed mersenne prime numbers for medical ultrasound imaging instrumentation

open access: yesComputer Assisted Surgery, 2019
Purpose: Encryption of patient information has become an important issue in medical ultrasound instrumentation to secure information when images are accessed off-site.
Seung-Hyeok Shin   +2 more
doaj   +1 more source

Sum of Squares of ‘m’ Consecutive Woodall Numbers

open access: yesمجلة بغداد للعلوم, 2023
        This paper discusses the Sums of Squares of “m” consecutive Woodall Numbers. These discussions are made from the definition of Woodall numbers. Also learn the comparability of Woodall numbers and other special numbers.
P. Shanmuganandham, T. Deepika
doaj   +1 more source

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

open access: yesRevista 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

On recognition of simple group L2(r) by the number of Sylow subgroups

open access: yesActa Scientiarum: Technology, 2014
Let G be a finite group and n_{p}(G) be the number of Sylow p- subgroup of G. In this work it is proved if G is a centerless group and n_{p}(G)=n_{p}(L_{2}(r)), for every prime p in pi (G), where r is prime number, r^2 does not divide |G| and r is not ...
Alireza Khalili Asboei   +1 more
doaj   +1 more source

Generalizing the eight levels theorem: a journey to Mersenne prime discoveries and new polynomial classes

open access: yesArab Journal of Basic and Applied Sciences
Mersenne primes, renowned for their captivating form as [Formula: see text] have intrigued mathematicians for centuries. In this paper, we embark on a captivating quest to unveil the intricate nature of Mersenne primes, seamlessly integrating methods ...
Moustafa Ibrahim
doaj   +1 more source

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