Number Theory

    

Proof of Polignac's Conjecture for Pap Equal to Eight

Authors: Marko V. Jankovic

In this paper proof of the Polignac's Conjecture for gap equal to eight is going to be presented. It will be shown that consecutive primes with gap eight could be obtained through two stage sieve process, and that will be used to prove that infinitely many primes with gap eight exist. The proof represents an simple extension of the recently presented proof that infinitely many sexy prime exist. The major contribution of this paper is presentation of all elementary modules that are necessary for the proof of Polgnac's conjecture in general case.

Comments: 17 Pages.

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Submission history

[v1] 2021-09-05 21:30:36

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