Odd and even symmetric prime constellations

Abstract In this paper, the constellations of primes are discussed. A number of symmetric prime constellations of even and odd order are defined and their existence is computationally verified. Provable minimum extent symmetric constellations are shown to exist for some cases. Conjectures regarding the existence of higher order symmetric constellations are provided and further areas of research are suggested.

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Publication Details

Journal
International Journal of Mathematics and Computer in Engineering
Published
2024-09-20
DOI
https://doi.org/10.2478/ijmce-2025-0020
Primary Topic
Analytic Number Theory Research
Type
article
Field-Weighted Citation Impact
0.00
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article

Odd and even symmetric prime constellations

Jon Rokne
International Journal of Mathematics and Computer in Engineering
Analytic Number Theory Research
article

Odd and even symmetric prime constellations

Jon Rokne
article en

Abstract

Abstract In this paper, the constellations of primes are discussed. A number of symmetric prime constellations of even and odd order are defined and their existence is computationally verified. Provable minimum extent symmetric constellations are shown to exist for some cases. Conjectures regarding the existence of higher order symmetric constellations are provided and further areas of research are suggested.

International Journal of Mathematics and Computer in EngineeringVol. 3(2)
University of Calgary (CA)
Openalex Percentile: Top 71%
Analytic Number Theory Research
DOIOpen Access PDFOpenAlex
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Odd and even symmetric prime constellations — Jon Rokne · International Journal of Mathematics and Computer in Engineering (2024) | TGRS Research Map | TGRS