Structures in P based on Properties of Semigroup and Arithmetical Sequence H = (+-3*2; 1)

2018/12/17 by Hebert, Michael H.
#FOS: Mathematics #General Mathematics (math.GM)

paper · doi:10.48550/arxiv.1812.10417

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.

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