Regularities of Twin, Triplet and Multiplet Prime Numbers

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.Comment: 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