6 citations · 11 across the 5 of their papers we have counts for
5 papers
Remarkable and Reversible Prime Number Patterns
H. J. Weber
Prime number multiplet classifications and patterns are extended to negative integers. The extension from prime numbers to single prime powers is also studied. Prime number septets…
Generalized Twin Prime Formulas
H. J. Weber
Based on Golomb's arithmetic formulas, Dirichlet series for two classes of twin primes are constructed and related to the roots of the Riemann zeta function in the critical strip.
Less Regular Exceptional and Repeating Prime Number Multiplets
H. J. Weber
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 pr…
Regularities of Twin, Triplet and Multiplet Prime Numbers
H. J. Weber
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 fra…
Exceptional Prime Number Twins, Triplets and Multiplets
H. J. Weber
A classification of twin primes implies special twin primes. When applied to triplets, it yields exceptional prime number triplets. These generalize yielding exceptional prime numb…