Number Theory

    

Proof of Goldbach's Conjecture and Bertrand's Postulate Using Prime Generator Theory (PGT)

Authors: Jabari Zakiya

Goldbach’s Conjecture states every even integer n > 2 can be written as the sum of 2 primes, while Bertrand’s Postulate states for each n ≥ 2 there is at least one prime p such that n < p < 2n. I show both are essentially statements on the distribution of primes, and their inherent properties when modeled and understood as the residues of modular groups Zn. In addition, a much tighter dynamic bound on p than given by the BP will be presented.

Comments: Significantly updated paper (4 extra pages), with new findings, optimized software code, and more and extensive data.

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Submission history

[v1] 2025-02-01 21:05:25
[v2] 2025-03-12 22:11:41

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