Numerical Model to Estimate higher order safe prime number

Abstract

This paper is devoted to present a numerical model to estimate the density of higher-order prime in a set of integers .This model is examined along this paper and the results are listed out ,and standard primarily tests are deployed to confirm the result of the model presented in this paper .Safe prime has been the essential concern when developing public key cryptographic applications, the density of safe primes is vital parameter to select a proper range on integers .The result along this paper has been compared with other mathematical approaches to evaluate the safe prime density .A table of the comparisons shows the performance of this numerical model