Results 51 to 60 of about 132 (122)

Batched ranged random integer generation

open access: yesSoftware: Practice and Experience, Volume 55, Issue 1, Page 155-169, January 2025.
Summary Pseudorandom values are often generated as 64‐bit binary words. These random words need to be converted into ranged values without statistical bias. We present an efficient algorithm to generate multiple independent uniformly‐random bounded integers from a single uniformly‐random binary word, without any bias.
Nevin Brackett‐Rozinsky, Daniel Lemire
wiley   +1 more source

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

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

The Mersenne Primes

open access: yes
This is a unique system for finding Mersenne Primes Deveolped by Branden Lee ...
openaire   +2 more sources

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

Strongly Base-Two Groups. [PDF]

open access: yesVietnam J Math, 2023
Burness TC, Guralnick RM.
europepmc   +1 more source

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

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

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

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