The Theory of * Number Classification This is an expository work of mathematical research into the * numbers based on pattern methodology and classification techniques. As a comprehensive research into the classification systems for * numbers, it address the following: ?Why * numbers are regular yet random. ?What are the building blocks of * numbers ?What is the framework for * number generation This is done by developing the following classification systems: ?The * Root Classification. All * numbers are constituted by roots, which are defined as the building blocks of the * number. ?The Positional Classification. A two dimensional * number space is defined that allows certain types of distribution ysis of primes to be made, deriving count functions and establishing the mean property of primes ?The Delta Classification of Primes. This classification creates * families in terms of gaps. * gaps are found to have positive, negative and a steady gap acceleration. ?The Gap Theory Classification. All * gaps and * number behavior are based on Gap 2, Gap 4 and Gap 6. This then develops a classification system. Using the above classification systems, and defining a special function, a theory of * number generation is then suggested, where this leads to the development of an algebraic sieve for finding * numbers. The algebraic sieve contains all the relevant information about * numbers, including how gaps widen, and * number patterns. Consequently, it is then used to address the problem of finding a proof for the twin * conjecture. As an expository work, the book also shares personal experiences and thoughts with regard to the research, and the development of expository mathematics. A program for * number classification is available at
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