Enhancing the Bounds of |Nz (x)-τx| Using Special Form of ωp-numbers

ABSTRACT

Primitive weird number is weird number which are not a multiple of any smaller weird numbers. The goal of this work is to generate a square-free primitive weird number  where  be an increasing sequence of prime numbers such that  is greater than  and  is deficient number with  greater than , to be able to use this special form to enhancing the classic bounds of Ω-results for .