Factorials and Integers for Applications in Computing and Cryptography

Mathematical formulae with integers or prime numbers are used as cryptographic algorithms like RSA algorithm and elliptic-curve cryptography. These methodological advances in computational science and mathematics play a vital role in communication and cybersecurity. This article is prepared for applications in computing and cybersecurity using the theorems in factorials and binomial identity. Also, this paper focuses on the analysis of relationship between factorials and integers.