Number Theory

    

Generating and Deconstructing Prime Numbers

Authors: Lucian M Ionescu

Prime numbers have a rich structure, when viewed as sizes of finite fields. Iteration of an analysis as Klein geometry yields their deconstruction into simpler primes: the POSet structure. Reversing the process is Euclid's trick of generating new primes. A generalization of this is used by McCanney to cover the set of primes away from primorials as centers. This fast algorithm has a ``propagation'' flavor. Generating primes in this manner is also related with Goldbach's Conjecture.

Comments: 3 Pages. Preliminary version based on the presentation available at https://about.illinoisstate.edu/lmiones/research/

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[v1] 2022-05-02 12:11:12

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