Generation of Exact and Complete Pattern of Prime Numbers vs. Composite Numbers as Anticipating and Computational Prime Numbering System

A mathematical deduction of formulas generating the exact and complete pattern of prime numbers vs. composite numbers, was presented in the treatment by Johansen (2010a). We recapitulate some key points from this treatise. Then we explain how said pattern, which also has a geometric anchoring and representation, is established in the maximum sense of a pattern, manifesting from a certain disclosed number generator. It is also demonstrated how this maximum pattern can be represented as an achieved computational expression and translation. Finally, it is discussed in what regards the prime numbering system can be interpreted as anticipatory from the mathematical and computational expressions of this system.