Results 61 to 70 of about 385 (161)

On Generalized Mersenne and Fermat Primes

open access: yes, 2009
The classical Merseniie and Fermat primes are, respectivel3^ primes of the form 2^\u27 - 1 and 2^‘ + 1. The Mersenne primes have been studied since antiquity. It is known that if 2^ - 1 is prime then k is prime.
Putnam, Bette Catherine
core  

Evaluation of an implementation intentions intervention for managing university student stress

open access: yesStress and Health, Volume 40, Issue 3, June 2024.
Abstract University students consistently report high levels of stress, which has been associated with a range of adverse outcomes. Promoting adaptive coping behaviours, such as problem‐focused coping for managing university stress, is therefore a timely area of investigation.
Leah J. Rackemann   +2 more
wiley   +1 more source

Tower Mersenne Primes Are Infinitely Many

open access: yes
Against to Mersenne prime using Proposition transformation method, based on Euler’s function and n order remainder theorem,the au?thors have proved that the necessary and sufficient condition for that module M has primitive root is that x in the equation
唐子周
core   +1 more source

Tesla-Kaoru Conjecture: A New and Fast Method to Find Mersenne Primes

open access: yes
This project introduces the Tesla-Kaoru Conjecture, a novel and efficient digital root-based filter for identifying candidate exponents of Mersenne primes.
Kaoru Aguilera Katayama
core   +1 more source

Mersenne primes and class field theory

open access: yes, 2012
The Lucas-Lehmer-test is used to find Mersenne primes.
Jansen, B.J.H.
core  

Features of digital signal processing algorithms using Galois fields GF(2n+1). [PDF]

open access: yesPLoS One, 2023
Suleimenov IE   +2 more
europepmc   +1 more source

On (unitary) perfect polynomials over F2 with only Mersenne primes as odd divisors

open access: yes
The only (unitary) perfect polynomials over F2 with only Mersenne primes as odd divisors that are products of $x$, $x+1$ and Mersenne primes are precisely the nine (resp. nine "classes") known ones.
Gallardo, Luis, Rahavandrainy, Olivier
core   +1 more source

Mersenne Primes and the Quest to Find Them

open access: yes
The purpose of this thesis is to explore Mersenne primes. Mersenne primes are prime numbers of the form 2ⁿ − 1 where itself is prime. We delve into some properties of Mersenne primes and discuss conjectures about their distribution.
Levenius, Leo G.
core   +1 more source

Congruence Properties of Mersenne Primes

open access: yes, 2011
In this research paper, relationship between every Mersenne prime and certain Natural numbers is explored. We begin by proving that every Mersenne prime is of the form {4n + 3,for some integer 'n'} and generalize the result to all powers of 2. We also tabulate and show their relationship with other whole numbers up to 10.
Srinath, M. S.   +2 more
openaire   +2 more sources

On the Mersenne Prime Numbers

open access: yes, 2020
The prime numbers have been an important field of research for thousands of years and are intertwined with most other fields of mathematics. One topic that has piqued the interest of mathematicians young and old is the Mersenne prime numbers, which have ...
VanLandingham, Julia
core  

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