Regularities of Twin, Triplet and Multiplet Prime Numbers

2011/03/02 by Hans J. Weber, Weber, H. J. · 3 citations
Mathematics · #11N05 #11N32 #11N80 #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Mathematics and Applications #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1103.0447

openalex publication_date 2011/03/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Classifications of twin primes are established and then applied to triplets that generalize to all higher multiplets. Mersenne and Fermat twins and triplets are treated in this framework. Regular prime number multiplets are related to quadratic and cubic prime number generating polynomials.

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• Less Regular Exceptional and Repeating Prime Number Multiplets
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