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Theorems on twin primes-dual case

2009/12/20 by Vladimir Shevelev, Shevelev, Vladimir
Mathematics · #11A41 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebraic Geometry and Number Theory #FOS: Mathematics #General Mathematics (math.GM)

paper · pdf · doi:10.48550/arxiv.0912.4006

openalex publication_date 2009/12/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove dual theorems to theorems proved by author in \cite 5. Beginning with Section 10, we introduce and study so-called "twin numbers of the second kind" and a postulate for them. We give two proofs of the infinity of these numbers and a sufficient condition for truth of the postulate; also we pose several other conjectures. Finally, we consider a conception of axiom of type "AiB".

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