TITLE:
How Prime Numbers Are Interconnected and Built with Two Equations: Addition and Subtraction Rules the Function (6µ)
AUTHORS:
John Richard Wisdom
KEYWORDS:
Number Theory, Prime Number Groups, Twin Primes, Prime Structure and Sequence, Prime Subtraction and Addition
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.14 No.4,
April
17,
2024
ABSTRACT: Are all prime numbers linked by four simple functions? Can we predict when a prime will appear in a sequence of primes? If we classify primes into two groups, Group 1 for all primes that appear before ζ (such that , for instance 5, ), an even number divisible by 3 and 2, and Group 2 for all primes that are after ζ (such that , for instance 7), then we find a simple function: for each prime in each group, , where n is any natural number. If we start a sequence of primes with 5 for Group 1 and 7 for Group 2, we can attribute a μ value for each prime. The μ value can be attributed to every prime greater than 7. Thus for Group 1, and . Using this formula, all the primes appear for , where μ is any natural number.