Prime Function Complete Proof

Function and method for solving the distribution of prime numbers accurately using the combination of step functions, polynomial functions, inverse functions and continuous functions. Equation 〖lim┬(n→∞) p(n)〗⁡〖={3+2(n+x_p )├|x_p=x_3+x_5+x_7+x_11+⋯x_p ┤}〗 is true for all integer where n>0 for the distribution and generation of exact values of prime numbers without exception. This formula is efficient by means of modern supercomputers for the task of expanding term x_p.