Keywords:-
Article Content:-
Abstract
Various bounds on p, such as Bertrand’s Postulate and Legendre’s Conjecture, propose regions around n that have at at I least one prime within them. Using Prime Generator Theory, show more precise symmetric bounds on p, such that for n a prime exists symmetrically within a distance of n1/2 below and above it. That is to say, a prime exists for: n – n1/2 < p < n and n < p < n + n1/2
References:-
References
Jabari Zakiya – Proof of Goldbach’s Conjecture and Bertrand’s Postulate Using Prime Generator
Theory (PGT). International Journal of Mathematics and Computer Research (IJMCR), Vol 13 No 3
(2025), 4923–4942
https://ijmcr.in/index.php/ijmcr/article/view/911/703 (pdf)
Jabari Zakiya – On The Infinity of Twin Primes and other K-tuples. International Journal of
Mathematics and Computer Research (IJMCR), Vol 13 No 1 (2025), 4739–4761.
https://ijmcr.in/index.php/ijmcr/article/view/867/678 (pdf)
Jabari Zakiya – Twin Primes Segmented Sieve of Zakiya (SSoZ) Explained. J Curr Trends Comp
Sci Res 2(2), (2023), 119–147.
https://www.opastpublishers.com/open-access-articles/twin-primes-segmented-sieve-of-zakiya-ssoz- explained.pdf
R.C. Baker, G. Harman, and J. Pintz – The difference between consecutive primes, II.
Proceedings of the London Mathematical Society, Vol. 83, Issue 3, (2001), 532–562.
https://www.cs.umd.edu/~gasarch/BLOGPAPERS/BakerHarmanPintz.pdf
Adrian W. Dudek – On the Riemann Hypothesis and the Difference Between Primes.
arXiv:1402.6417v2 [math.NT]
https://arxiv.org/pdf/1402.6417 (pdf)
* All graphs produced using Linux desktop version of Classic GeoGebra 6 – www.geogebra.org.