Asymptotic law of distribution of primes of special form


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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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K. Éminyan

Financial University of the Government of the Russian Federation; Bauman Moscow State Technical University

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Email: eminyan@mail.ru
俄罗斯联邦, Moscow; Moscow

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