Distribution of twin primes in repeating sequences of prime factors
John K Sellers
TL;DR
This paper establishes a deterministic link between relative primes and twin primes within sequences of natural numbers, providing a finite lower bound on twin prime occurrence in unbounded domains.
Contribution
It introduces a new deterministic relationship that connects relative primes and twin primes across larger natural number sequences, advancing understanding of twin prime distribution.
Findings
Finite lower limit on twin prime occurrence established
Deterministic relationship between relative primes and twin primes demonstrated
Applicable to unbounded sequences of natural numbers
Abstract
We present a deterministic relationship between relative primes and twin primes in successively larger sequences of the natural numbers. This enables setting a finite lower limit on the occurrence of actual twin primes in an unbounded selection of domains.
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Taxonomy
TopicsAnalytic Number Theory Research · Finite Group Theory Research · Coding theory and cryptography