  It is known that prime numbers occupy specific geometrical patterns or moduli
when numbers from one to infinity are distributed around polygons having sides
that are integer multiple of number 6. In this paper, we will show that not
only prime numbers occupy these moduli, but non-prime numbers sharing these
same moduli have unique prime-ness properties. When utilizing digital root
methodologies, these non-prime numbers provide a novel method to accurately
identify prime numbers and prime factors without trial division or
probabilistic-based methods. We will also show that the icositetragon (24-sided
regular polygon) is a unique polygon pertaining to prime numbers and their
ultimate incidence and distribution.
