Number Theory

    

Optimal Symmetric Bounds on P

Authors: Jabari Zakiya

Various bounds on p, such as Bertrand’s Postulate and Legendre’s Conjecture, propose regions around n that have at at least one prime within them. Using Prime Generator Theory, I show more precise symmetric bounds on p, such that for n a prime exists symmetrically within a distance of n^(1/2) below and above it. That is to say, a prime exists for: n — n^(1/2) < p < n and n < p < n + n^(1/2).

Comments: 14 Pages. New content added before publication.

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Submission history

[v1] 2025-09-01 19:25:13
[v2] 2025-09-10 16:08:44

Unique-IP document downloads: 277 times

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