Less Regular Exceptional and Repeating Prime Number Multiplets
H. J. Weber
TL;DR
This paper introduces new exceptional and repeating prime number multiplets, explores their properties through arithmetic progressions, and investigates prime multiplets with irregular spacing to deepen understanding of prime distribution patterns.
Contribution
It formulates laws governing exceptional prime multiplets and studies less regular prime multiplets, offering new insights into prime number arrangements.
Findings
New exceptional prime multiplets characterized by arithmetic progressions
Revealed laws governing prime multiplet formations
Analyzed prime multiplets with irregular distances
Abstract
New exceptional (i.e. non-repeating) prime number multiplets are given and formulated in terms of arithmetic progressions, along with laws governing them. Accompanying repeating prime number multiplets are pointed out. Prime number multiplets with less regular distances are studied.
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Taxonomy
TopicsMathematics and Applications · Analytic Number Theory Research · History and Theory of Mathematics