Results 71 to 80 of about 39,822 (114)

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  

About twin primes and distribution of primes [PDF]

open access: yes, 2010
This paper give us a demonstration of twin primes conjecture using approximation of function (iupsilon) that we introduce in section 6. Section 1-5 give us introduction to terminology and a clarification on (iupsilon) terms.
Di Pietro, Gabriele
core   +1 more source

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

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

Perfect numbers and Mersenne numbers

open access: yes, 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  

Probable prime tests for generalized mersenne numbers

open access: yes, 2008
The classical Lucas-Lehmer test gives necessary and sufficient conditions for the primality of 2 p -1, p an odd prime. Such primes are called Mersenne primes.
Melham, RS
core  

Automatic Generation of High-Performance Modular Multipliers for Arbitrary Mersenne Primes on FPGAs

open access: yes, 2017
Modular multiplication is a fundamental and performance determining operation in various public-key cryptosystems. High-performance modular multipliers on FPGAs are commonly realized by several small-sized multipliers, an adder tree for summing up the ...
Koppermann, Philipp and De Santis, Fabrizio and Heyszl, Johann and Sigl, Georg
core  

A Strongly Connected Topology on the Mersenne Numbers [PDF]

open access: yes
In the present work, we introduce a new topology on the set of Mersenne numbers. This topology is Strongly Connected in the sense that it is hyperconnected and ultraconnected.
MACIAS, JHIXON
core  

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