Results 111 to 120 of about 524 (199)

Mersenne numbers

open access: yes, 1987
These notes have been issued on a small scale in 1983 and 1987 and on request at other times. This issue follows two items of news. First, WaIter Colquitt and Luther Welsh found the 'missed' Mersenne prime M110503 and advanced the frontier of complete Mp-
Haworth, Guy McCrossan
core  

Factorization of cyclotomic polynomial values at Mersenne primes

open access: yes
We get some results about the factorization of $ϕ_p(M) \in {\mathbb{F}}_2[x]$, where $p$ is a prime number, $ϕ_p$ is the corresponding cyclotomic polynomial and $M$ is a Mersenne prime (polynomial).
Gallardo, Luis, Rahavandrainy, Olivier
core   +1 more source

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

open access: yesSensors (Basel), 2023
Li S   +7 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

The Impact of Mersenne Primes on the Perfection of Numbers

open access: yes
Abstract:This research introduces a novel structural perspective on even perfect numbers, moving beyond the classical summation definition toward an "Anatomy of Disintegration." The study proposes that perfection is an absolute settlement between four internal pillars: the Dividend, the Divisor, the Result, and the inherent "Numerical Potential" (Baza ...
openaire   +3 more sources

Impact Comparison of El Niño and Ageing Crops on Malaysian Oil Palm Yield. [PDF]

open access: yesPlants (Basel), 2023
Khor JF   +6 more
europepmc   +1 more source

New Mersenne primes [PDF]

open access: yesMathematics of Computation, 1962
openaire   +2 more sources

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