Modern cryptography algorithms like RSA need primality tests to generate large random primes. Specifically, RSA uses the product of two prime numbers to generate the public and private keys; if these ...

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: Nowadays, public-key cryptography is widely used to ensure data protection (privacy, integrity, authentication). Public-key algorithms contain, as an essential part of their construction, ...

Prime integers and their generalizations play important roles in protocols for secure transmission of information via open channels of telecommunication networks. Generation of multidigit large primes ...

ABSTRACT: Prime integers and their generalizations play important roles in protocols for secure transmission of information via open channels of telecommunication networks. Generation of multidigit ...