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Trial division
Fast Tabulation of Challenge Pseudoprimes Andrew Shallue and Jonathan Webster
Fast Generation of RSA Keys Using Smooth Integers
The Quadratic Sieve Factoring Algorithm
Cryptology and Computational Number Theory (Boulder, Colorado, August 1989) 41 R
Tables of Fibonacci and Lucas Factorizations
Primality Testing and Sub-Exponential Factorization
Computational Number Theory Estimable Men, They Try the Patience of Even the Prac- Ticed Calculator
Integer Factoring
Algorithms for Factoring Integers of the Form N = P * Q
Smooth Numbers and the Quadratic Sieve
Public-Key Crypto Basics Paul Garrett
[email protected]
University Of
Integer Factorization Algorithms
Improved Trial Division Technique for Primality Checking in RSA Algorithm
The Properties of RSA Key Generation Process in Software Libraries
A Performant, Misuse-Resistant API for Primality Testing
Paulo Ribenboim: « the Little Book of Bigger Primes
Computationally Efficient Search for Large Primes
Some Methods of Primality Testing
Top View
(Mersenne Primes Search) 11191649 Jun Li June, 2012
Prime Numbers– Things Long-Known and Things New- Found
Run Time Efficiency and the AKS Primality Test
12 Primality Proving
WXML Final Report: Elliptic Curve Primality Test
Prime and Prejudice: Primality Testing Under Adversarial Conditions
Experimental Evaluation of Speed Scaling Systems
Integer Factorization
Implementation of a New Primality Test
An Efficient Implementation of the AKS Polynomial-Time Primality Proving
13.8 Factoring and Primality Testing
Modern Factoring Algorithms
The Biggest Known Prime Number
Methods of Factoring Large Integers
Improved Trial Division Algorithm by Lagrange's Interpolation Function
Taxonomy and Practical Evaluation of Primality Testing Algorithms
Trial Division Randomized Primality Testing
Bachelor Thesis
A Tale of Two Sieves Carl Pomerance
THE FIBONACCI SEQUENCE MODULO P2
Factoring Integers Defined by Second and Third Order Recurrence Relations
Hardware Implementation of the Baillie-PSW Primality Test
Basic Algorithms in Number Theory
Primality Testing Theory, Complexity, and Applications
Recent Breakthrough in Primality Testing
Generalized Trial Division
Smooth Numbers: Computational Number Theory and Beyond
Trial Division Improvments and Implementations Trial Division Förbättringar Och Implementationer
A One-Parameter Quadratic-Base Version of the Baillie-Psw Probable Prime Test
Assessing the Performance of Optimised Primality Tests
INFO-F-404: Real-Time Operating Systems