Structures in P based on Properties of Semigroup and Arithmetical Sequence H = (+-3*2; 1)
General Mathematics
2018-12-27 v1
Abstract
This paper presents results on structures in P based on tools developed from subjects of elementary number theory. Key findings are: The arithmetical sequence H = (+-3*2; 1) is in Z the smallest superset of P \ {3, 2}. H is a semigroup. A revised definition of P. Unique Gestalt of p in Z. The prime number lattice packing H exp n. The geometrical locus in HxH of the family of solutions of: - the set of prime twins, - the set of PRACHAR prime twins, - in H exp 2, H exp 3 family of solutions of the GOLDBACH conjunction. Partition of H in p exp 2-intervals. Prime numbers in p exp 2-intervals. Infinity of the set of prime twins. Verification of the GOLDBACH conjunction.
Keywords
Cite
@article{arxiv.1812.10417,
title = {Structures in P based on Properties of Semigroup and Arithmetical Sequence H = (+-3*2; 1)},
author = {Michael H. Hebert},
journal= {arXiv preprint arXiv:1812.10417},
year = {2018}
}
Comments
28 pages, german language