Pré-Publication, Document De Travail Année : 2022

Proof of Polignac's conjecture for gap equal to eight

Résumé

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 proofs that infinitely many twin, cousin and sexy primes 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.

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hal-03656705 , version 1 (02-05-2022)

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  • HAL Id : hal-03656705 , version 1

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Marko Jankovic. Proof of Polignac's conjecture for gap equal to eight. 2022. ⟨hal-03656705⟩
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