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arXiv · 1812.10417

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

Michael H. Hebert
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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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Michael H. Hebert. 2018-12-17. Structures in P based on Properties of Semigroup and Arithmetical Sequence H = (+-3*2; 1). https://arxiv.org/abs/1812.10417

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