English

Regularities of Twin, Triplet and Multiplet Prime Numbers

Number Theory 2012-05-10 v3

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.

Keywords

Cite

@article{arxiv.1103.0447,
  title  = {Regularities of Twin, Triplet and Multiplet Prime Numbers},
  author = {H. J. Weber},
  journal= {arXiv preprint arXiv:1103.0447},
  year   = {2012}
}

Comments

21 pages; p=21557 in x2+x+p deleted in (vi) of Theor. 4.1 on p.15; to appear in Global J. Pure Applied Math. 8 (2012)