This paper addresses the computational methods and challenges associated with prime
number generation, a critical component in encryption algorithms for ensuring data security …

Public-key cryptosystems base their security on well-known number-theoretic problems,
such as factorisation of a given number n. Hence, prime number generation is an absolute …

Selecting efficient algorithm for generating prime numbers is necessary for various purposes
such as encryption, cryptography, generating complex passwords, system verification and …

Cryptography is a concept of protecting information and conversations which are transmitted
through a public source, so that the send and receive only read and process it. There are …

The generation of prime numbers underlies the use of most public-key schemes, essentially
as a major primitive needed for the creation of key pairs or as a computation stage …

Large prime numbers are one of inevitable ingredients in the public key crypto-systems.
However, the decision of the primality requires significant computational resources. In this …

For several centuries, prime factorisation of large numbers has drawn much attention due its
practical applications and the associated challenges. In computing applications, encryption …

The generation of prime numbers underlies the use of most public-key cryptosystems,
essentially as a primitive needed for the creation of RSA key pairs. Surprisingly enough …

Generating large prime number is a time consuming problem. It is useful in key generation in
network security. The problem of generating prime number is easy to parallelize. Use of high …

Prime numbers have always remained a matter fascination to the mathematicians, and many
scientific and technical communities. Also, it has paramount applications for computer …