Results 81 to 90 of about 385 (161)

Divisibility by 3 of even multiperfect numbers of abundancy 3 and 4

open access: yes, 2010
We say a number is flat if it can be written as a non-trivial power of 2 times an odd squarefree number. The power is the “exponent” and the number of odd primes the “length”. Let N be flat and 4-perfect with exponent a and length m.
Broughan, Kevin A., Zhou, Qizhi
core  

On prime factors of Mersenne numbers

open access: yes, 2016
to appear in Palestine Journal of ...
Cambraia, Ady jun.   +4 more
openaire   +3 more sources

On inversion modulo pseudo-Mersenne primes [PDF]

open access: yes, 2020
It is well established that the method of choice for implementing a side-channel secure modular inversion, is to use Fermat\u27s little theorem. So $1/x = x^{p-2} \bmod p$. This can be calculated using any multiply-and-square method safe in the knowledge
Michael Scott
core  

Post-Quantum Security: Opportunities and Challenges. [PDF]

open access: yesSensors (Basel), 2023
Li S   +7 more
europepmc   +1 more source

Perfect and Mersenne Numbers [PDF]

open access: yes, 2019
U ovom radu proučavamo Mersenneove i savršene brojeve. Kažemo da je prirodan broj N savršen ako je σ(N) = 2N, gdje je σ(N) suma pravih djelitelja broja N.
Patković, Kristina
core  

Java Grid Computing or how to find large primes

open access: yes, 2010
This Bachelor work contains methods of searching for Mersenne primes using Grid Computing technology. The goal of this work is to implement a network-based computing framework and an implementation of an algorithm for searching for large Mersenne ...
PAPEŽ, Petr
core  

Note for the Mersenne Primes

open access: yes
This paper tackles a longstanding problem in number theory: the existence of odd perfect numbers. A perfect number is defined as a positive integer whose sum of all its proper divisors (excluding itself) is equal to twice the number itself. While Euclid demonstrated a method to construct even perfect numbers using Mersenne primes (primes of the form $2^
openaire   +1 more source

Teste de Lucas-Lehmer para primos de Mersenne

open access: yes, 2022
The present work aims at a small summary of Mersenne's prime numbers and, consequently, prime numbers, a subject that has shown to have a certain relevance because of the increase in users of applications that use RSA encryption to protect their data ...
SANTOS, Elbi Jesus dos
core  

A Mersenne prime [PDF]

open access: yesBulletin of the American Mathematical Society, 1914
openaire   +2 more sources

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