Email this article Asymptotic law of distribution of primes of special form
- Authors: Éminyan K.M.1,2
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Affiliations:
- Financial University of the Government of the Russian Federation
- Bauman Moscow State Technical University
- Issue: Vol 100, No 3-4 (2016)
- Pages: 625-628
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/149814
- DOI: https://doi.org/10.1134/S0001434616090339
- ID: 149814
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Abstract
Let N0 be the set of natural numbers whose binary expansions have an even number of 1’s, and let N1 = N\N0. In this paper, we obtain asymptotic formulas for the number of primes p not exceeding X and such that p ∈ Ni, p + 1 ∈ Nj, where i and j take values 0 and 1 independently of each other.
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About the authors
K. M. Éminyan
Financial University of the Government of the Russian Federation; Bauman Moscow State Technical University
Author for correspondence.
Email: eminyan@mail.ru
Russian Federation, Moscow; Moscow
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