A matrix map for prime and non-prime numbers

Abstract

There are three famous unsolved mathematical problems in number theory, namely the theory of partitions, Fermat's 'Last Theorem', and the prime number theorem. A geometrical method and an analytical method of predicting the distribution of primes and non-primes based on visual information obtainable from a matrix map of divisibles is described. Past investigations tend to concentrate on properties of the prime numbers. The author feels that much information could be gathered by studying the distribution of both prime and non-prime numbers using a matrix map. Both methods give accurate, deterministic mathematical models of the distribution of primes and non-primes globally. The only problem is that there is no end to the prime number series and thus the prime number theorem remains unsolved.