A short proof of the twin prime conjecture [Edit 3]

Abstract

In this research the a simple proof of twin prime conjec-

ture is presented through exploration of the properties of a

sequence of the means of pairs of twin primes. The number

of terms of this sequence is related to those of a specific geo-

metric sequence with common ratio of 2. It is found that for

a given large interval the geometric sequence contains less

terms compaired to the sequence whose terms are means

of pairs are twin primes. Ir is shown that since the geomet-

ric sequence cotains infinite number of terms, it follows that

there are infinite number of twin primes.