Negative Approach: Implications for the Relation between Number Theory and Geometry, Including Connection to Santilli Mathematics, from Revolving Geometric Generation of Natural Numbers with Recurrent Outshooting Leaving Prime Numbers

摘要

The paper recapitulates some key elements in previously published results concerning exact and complete determination of prime numbers vs. composite numbers from a “negative” approach. This approach applies a certain “revolving chamber” to generate the set of composite numbers not having 2, 3 or 5 as factor, and by this indirectly to also deduce the complementary set of prime numbers larger than 5 as an exact, complete and non-trivial pattern. Since this approach is anchored in a certain geometric positioning of natural numbers, the paper will consider some possible implications for the more general relation between number theory and geometry, as well as more specifically in relation to hadronic mathematics, initiated by R.M. Santilli.