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Asymptotic law of distribution of primes of special form

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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 ∈ N i , p + 1 ∈ N j , where i and j take values 0 and 1 independently of each other.

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Authors and Affiliations

  1. Financial University of the Government of the Russian Federation, Moscow, Russia

    K. M. Éminyan

  2. Bauman Moscow State Technical University, Moscow, Russia

    K. M. Éminyan

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  1. K. M. Éminyan
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Correspondence to K. M. Éminyan.

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Original Russian Text © K. M. Éminyan, 2016, published in Matematicheskie Zametki, 2016, Vol. 100, No. 4, pp. 619–622.

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Éminyan, K.M. Asymptotic law of distribution of primes of special form. Math Notes 100, 625–628 (2016). https://doi.org/10.1134/S0001434616090339

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  • DOI: https://doi.org/10.1134/S0001434616090339

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