An Elementary Proof of the Twin Prime Conjecture

B. Gensel^1,

¹Berndt Gensel, Carinthia University of Applied Sciences, Austria

Cite this paper:
B. Gensel. An Elementary Proof of the Twin Prime Conjecture. Turkish Journal of Analysis and Number Theory. 2020; 8(3):52-56. doi: 10.12691/tjant-8-3-1

Abstract

It is well known that every prime number has the form or We will call the generator of 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. This paper present a new approach to prove the Twin Prime Conjecture by a sieve method to extract all Twin Primes on the level of the Twin Prime Generators. We define the --numbers as numbers for which holds that and are coprime to the prime By dint of the average distance between the --numbers we can prove the Twin Prime Conjecture indirectly.

Keywords:
twin prime primes number theory - MSC2010: 11A41.

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