eng
Science and Education Publishing
Turkish Journal of Analysis and Number Theory
2333-1232
2020-07-19
8
3
52
56
10.12691/tjant-8-3-1
TJANT2020831
article
An Elementary Proof of the Twin Prime Conjecture
B. Gensel
b.gensel@fh-kaernten.at
1
Berndt Gensel, Carinthia University of Applied Sciences, Austria
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.
http://pubs.sciepub.com/tjant/8/3/1/tjant-8-3-1.pdf
twin prime
primes
number theory - MSC2010: 11A41