This project provides a comprehensive toolkit for primality testing and integer factorization. Designed for both educational and research purposes, these algorithms showcase various mathematical ...

Abstract: Mathematicians have always been fascinated by the subject of finding the prime numbers of large composite numbers. They have studied various methods and have focused on developing several ...

Abstract: As is well known that the security of RSA depends on the hardness of integer factorization. The integer factorization method ToolBox includes many algorithms: trial division algorithm, ...

ABSTRACT: In this paper is demonstrated a method for reduction of integer factorization problem to an analysis of a sequence of modular elliptic equations. As a result, the paper provides a ...

A complete, proof-of-concept, C# implementation of the General Number Field Sieve algorithm for factoring very large semi-prime numbers. The focus was on readability and understandability of the code, ...

Scientists have discovered a way to leverage emerging brain-like computer architectures for an age-old number-theoretic problem known as integer factorization. U.S. Army Research Laboratory scientists ...