Faez Al_Mamory, Ahmed AL-Salih, Ameer Kadhim Hadi, Building the Primes P&Q (Of the Public Key Algorithm) by Using Function of Reals, Research Journal of Applied Sciences, Volume 11,Issue 10, 2016, Pages 1050-1053, ISSN 1815-932x, rjasci.2016.1050.1053, (https://makhillpublications.co/view-article.php?doi=rjasci.2016.1050.1053) Abstract: Public key algorithm is a famous method for encryption which depends on the way of selecting the prime p and q to be secure enough. This study addresses a new generation of the primes p and q from reals using generating function of reals (x). Here, we don’t need to think about getting primes p and q and how they are secure enough. The reason for this is the complicated function (x) generates these primes under such conditions. This is clearly addressed in the main body of this study. Moreover this study provided a construction in building any prime p.q from a real number x. This opened a new window for building security algorithm of the public key. Keywords: Public key algorithm;analytic number theory;primes;security;main body