Results 31 to 40 of about 7,411,029 (61)

New primality criteria and factorizations of 2^{𝑚}±1

open access: yes, 1975
A collection of theorems is developed for testing a given integer N for primality. The first type of theorem considered is based on the converse of Fermat’s theorem and uses factors of N − 1 N - 1 .
J. L. Selfridge   +2 more
core   +1 more source

Prime numbers and primality test

open access: yes, 2018
Orientador: Ricardo Miranda MartinsDissertação (mestrado profissional) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação CientíficaResumo: Nesta dissertação estudamos números inteiros, suas propriedades e congruências.
Paiva, Glaucia Innocencio de Jesus Paulo, 1985-
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  

Mersenne primes and the proof of the Lucas-Lehmer test

open access: yes
V magistrskem delu so obravnavana Mersennova praštevila in Lucas-Lehmerjev test. Mersennova praštevila, ki so oblike 2^p-1, kjer je p praštevilo, so tudi največja znana praštevila. Njihovo praštevilskost preverjamo z Lucas-Lehmerjevim testom, ki je podan
Zupančič, Andrej
core  

ANALISIS PERBANDINGAN TEOREMA LUCAS-LEHMER DAN TEOREMA POCKLINGTON DALAM UJI PRIMALITAS [PDF]

open access: yes, 2006
ANALISIS PERBANDINGAN TEOREMA LUCAS-LEHMER DAN TEOREMA POCKLINGTON DALAM UJI ...
SWANDANA, KELLY
core  

A Formalisation of Lehmer’s Primality Criterion

open access: yes, 2014
In 1927, Lehmer presented criterions for primality, based on the converse of Fermat’s litte theorem [2]. This work formalizes the second criterion from Lehmer’s paper, a necessary and sufficient condition for primality.
Lars Noschinski, Simon Wimmer
core  

Some Primality Tests Constructed from a Cubic Extension of the Lucas Functions

open access: yes, 2020
The properties of a pair of integer valued sequences, similar to those of Lucas, are used to produce a sufficiency test for the primality of numbers $N$ such that $N^2 + N + 1$ is divisible by a large power of a prime p.Non UBCUnreviewedAuthor ...
Roettger, Eric
core   +1 more source

Determination of the primality of 𝑁 by using factors of 𝑁²±1

open access: yes, 1976
Algorithms are developed which can be used to determine the primality of a large integer N when a sufficient number of prime factors of N 2 + 1 {N^2} + 1 are known. A
J. S. Judd, H. C. Williams
core   +1 more source

The class of Lucas-Lehmer polynomials [PDF]

open access: yes, 2016
In this paper we introduce a new sequence of polynomials, which follow the same recursive rule of the well-known Lucas-Lehmer integer sequence. We show the most important properties of this sequence, relating them to the Chebyshev plynomials of the first
BERSANI, Alberto Maria   +2 more
core  

Analisis dan Perbandingan Penggunaan Metode Pembangkitan Bilangan Prima Fermat dan Lucas-Lehmer dalam Kriptografi Elgamal

open access: yes, 2013
Security of a written message from one person to another during communication is important. It takes an application to secure the contents of the message to be sent. The main objective of this study is to build an applications that can sent plaintexts.
Wijayanti, Ratnaningtyas Yoga
core  

Home - About - Disclaimer - Privacy