A further restricting the gap between (N_z-τx) and (n-τx) on r.h. by using the sense of ω-numbers and ωp-numbers

In this article we use the sense of ω-numbers and ωp-numbers for restricting the gap between the error terms of Ω-results for 〖(N〗_z-τx) and the error terms of O-results for (N-τx) on Riemann Hypothesis (the Ω-results are generalized Ω-results for N_p as counting function of Beurling). The aim for this purpose we define: (Formula Presented)Here F(x) could be use for building a ω-numbers and ωp-numbers from a positive real number x for two aims. The first one used for showing some of the behaviors of the error term of the function N(x) while the second one is used for preparing a secure code for any security algorithm.