A connection between twin primes and Riemann zeta function, and a possible way to proof the twin prime conjecture

01 July 2024, Version 1
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

Abstract

In the present work, we found out a connection between twin primes and Riemann zeta function. This connection may be a possible way to proof the twin prime conjecture. Twin prime conjecture states that there are in nitely many primes p such that p+2 is also prime. Using the value of zeta function (1) = , we give a possible proof based on the proof by contradiction, that is the conjecture is true.

Keywords

Twin primes
Twin prime conjecture
Riemann zeta function
Euler's product formula

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