RSA cryptography, which is one of the typical public key cryptosystems, is a cryptosystem based on the fact that it is difficult to factor a composite number with a large number of digits into prime ...

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: Large integer factorization is one of the basic issues in number theory and is the subject of this paper. Our research shows that the Pisano period of the product of two prime numbers (or an ...

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, ...

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 ...

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, ...

Quantum algorithms for integer factorisation employ quantum mechanical principles to decompose composite numbers into prime factors with greater efficiency than classical approaches. Central to this ...