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Prime Sequences and Distributions

05 January 2021, Version 2
Working Paper
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.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

The method of prime modulo cycles or prime harmonics was applied in the analysis of several types of consecutive prime distributions such as single primes; quadruplet primes; and several cases of Polignac’s conjecture, allowing to produce estimates for the number of sequences in an arbitrary range. As well, a complete classification of consecutive prime sequences is given

Keywords

Number theory
Prime number distribution
Prime sequences
Polignac's conjecture

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Version History

Jan 05, 2021 Version 2

Version Notes

Minor addition: conditions for NP-distributions (Section 4.1) Minor addition: conditions for conjecture N > 8 (Section 5.4)

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License

All Rights Reserved

DOI

10.33774/coe-2020-g9d1m-v2
D O I: 10.33774/coe-2020-g9d1m-v2 [opens in a new tab]

Author’s competing interest statement

The author(s) have declared they have no conflict of interest with regard to this content

Ethics

The author(s) have declared ethics committee/IRB approval is not relevant to this content

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