The Seven-Set Prime Number Theorem

This paper seeks to explore the nature of primality by investigating relationships between prime numbers. For centuries, mathematicians have been intrigued by the unpredictable distribution of primes. The Seven-Set Prime Number Theorem (SSPNT) offers a novel approach to address this challenge. By building on Ulam's Spiral, SSPNT uses simple sets and visual patterns to gain insights into primality. This methodology not only provides a fresh perspective on prime number theory but also has potential applications in coding theory and cryptography, revealing hidden patterns and underlying structures.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-01-26
DOI
https://doi.org/10.5281/zenodo.14741919
Primary Topic
Analytic Number Theory Research
Type
article
Field-Weighted Citation Impact
0.00
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article

The Seven-Set Prime Number Theorem

Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
article

The Seven-Set Prime Number Theorem

article en

Abstract

This paper seeks to explore the nature of primality by investigating relationships between prime numbers. For centuries, mathematicians have been intrigued by the unpredictable distribution of primes. The Seven-Set Prime Number Theorem (SSPNT) offers a novel approach to address this challenge. By building on Ulam's Spiral, SSPNT uses simple sets and visual patterns to gain insights into primality. This methodology not only provides a fresh perspective on prime number theory but also has potential applications in coding theory and cryptography, revealing hidden patterns and underlying structures.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 52%
Analytic Number Theory Research
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The Seven-Set Prime Number Theorem · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS