Results 41 to 50 of about 463 (134)

Primality-testing Mersenne Numbers (II)

open access: yes, 1986
Reports the factor-filtering and primality-testing of Mersenne Numbers Mp for p < 100000, the latter using the ICL 'DAP' Distributed Array ...
Haworth, Guy McCrossan
core  

A Note on Monte Carlo Primality Tests and Algorithmic Information Theory

open access: yes, 1978
Solovay and Strassen, and Miller and Rabin have discovered fast algorithms for testing primality which use coin-flipping and whose conclusions are only probably correct.
Jacob T. Schwartz   +2 more
core  

Computational number theory: Primality testing and factorization

open access: yes, 2011
50 σ.Η διπλωματική εργασία περιλαμβάνει την ανάλυση και τη μαθηματική θεμελίωση αλγορίθμων που χρησιμοποιούνται για την πιστοποίηση πρώτων και για την παραγοντοποίηση ακεραίων.
Eleftheriou, Georgios M.   +1 more
core   +1 more source

Probabilistic algorithm for testing primality

open access: yes, 1980
We present a practical probabilistic algorithm for testing large numbers of arbitrary form for primality. The algorithm has the feature that when it determines a number composite then the result is always true, but when it asserts that a number is prime ...
Rabin, Michael O
core   +1 more source

A formally certified end-to-end implementation of Shor's factorization algorithm. [PDF]

open access: yesProc Natl Acad Sci U S A, 2023
Peng Y   +6 more
europepmc   +1 more source

Factorization and pseudofactorization of weighted graphs. [PDF]

open access: yesDiscrete Appl Math, 2023
Sheridan K   +4 more
europepmc   +1 more source

Primality Testing, Integer Factorization, and Discrete Logarithms

open access: yes, 1998
this paper is to survey some historical and modern methods for primality testing, integer factorization, and the discrete logarithm problem, and point out some theoretical questions related to the algorithms.
Theodoulos Garefalakis
core  

Primality tests based on Fermat's Little theorem

open access: yes, 2006
In this survey, we describe three algorithms for testing primality of numbers that use Fermat's Little ...
Agrawal, Manindra, Manindra Agrawal
core   +1 more source

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