Number Theory

    

Sophie Germain Primes Concept Expanded to Ultimate Numbers [:] Number Genetics and the 3 to 2 Ratio

Authors: Jean-Yves Boulay

Here is expanded the concept of Sophie Germain prime and safe prime to ultimate numbers. More, this mathematical mechanism is also applied to the set of all whole numbers (ℕ) which are differentiated into ultimate and non-ultimate numbers. Thus, a complete study of the set ℕ is undertaken. This global investigation, universally broadening the mechanical-mathematical concept of Sophie Germain, makes it possible to propose a genetics of numbers very similar to biological genetics. According to these new numeric genetic criteria, in their start top organization, geometric distribution of whole numbers in various closed matrices, is organized into perfect ratios to exact 3/2 or 1/1 value.

Comments: 40 Pages.

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Submission history

[v1] 2025-06-08 19:30:38

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