General Mathematics

    

A Theory of Twin Prime Generators

Authors: Berndt Gensel

It’s well known that every prime number $p \geq 5$ has the form $6k-1$ or $6k+1$. We’ll call $k$ the generator of $p$. Twin primes are distinghuished due to a common generator for each pair. Therefore it makes sense to search for the twin primes on the level of their generators. The present paper developes a sieve method to extract all twin primes on the level of their generators. On this basis important properties of the set of the twin prime generators will be studied. Finally the Twin Prime Conjecture is proved based on the studied properties.

Comments: 29 Pages.

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Submission history

[v1] 2020-03-10 12:20:04
[v2] 2020-03-21 11:31:44
[v3] 2022-02-22 20:10:04

Unique-IP document downloads: 532 times

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