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The prior papers “Principles of prime numbers - Part I - New definition of prime numbers with ModNt number system & induction” and “Principles of prime numbers - Part II - Anatomy of Sppn & Rppn tables with conversion from mod10 to modNt number system“ must be read to put this paper into perspective. Those papers are a summary of three books “calculate primes” (2007), “Principles of prime numbers – Volume I” (2010) and “breaking RSA codes” (2014). Another peer reviewed paper can be included in the list of prior papers “New definition of prime numbers with Sppn tables and proofs by induction”. In the prior books and papers, the concept of direct calculation of prime numbers was presented. It showed that the prime numbers constitute a complete number system modNt with a new visual representation in the form of “Sppn and Rppn tables”, creating the basis for proofs by induction for the twin prime conjecture and other problems.
Prior papers parts I and II presented many concepts with basic examples. The current paper part III expands on these providing more details and deals with the many parameters generated as the Sppn and Rppn tables progress to larger and larger sizes. Part I appendix listed many parameters associated with the tables (summarized in appendix 1 in this paper). Those values will be expanded upon. Most of these parameters can be represented in table or graphical form showing growth from one Sppn or Rppn table to the next and are instrumental in understanding the fundamental nature of prime numbers.
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