Exceptional Prime Number Twins, Triplets and Multiplets
H. J. Weber

TL;DR
This paper classifies special twin primes and extends the concept to triplets and multiplets, revealing new exceptional prime configurations and their generalizations.
Contribution
It introduces a classification scheme for twin primes and derives new exceptional prime triplets and multiplets, expanding understanding of prime constellations.
Findings
Identification of special twin primes
Discovery of exceptional prime triplets
Generalization to prime multiplets
Abstract
A classification of twin primes implies special twin primes. When applied to triplets, it yields exceptional prime number triplets. These generalize yielding exceptional prime number multiplets.
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Taxonomy
TopicsAnalytic Number Theory Research · Mathematics and Applications · History and Theory of Mathematics
