Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2019, Number 5, Pages 51–55 (Mi vmumm3628)  
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Approaching real numbers by sums of squares of two primes

A. P. Naumenko

Public Corporation "Infotecs", Moscow
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Abstract: It is proved that a given real number $N>N_0(\varepsilon)$ can be approached by the sum of squares of two primes to the distance not exceeding $H = N^{31/64-1/300 + \varepsilon}$, where $\varepsilon$ is an arbitrary positive number.
Key words: primes, diophantine inequalities, density theorem.
Received: 05.12.2018
English version:
Moscow University Mathematics Bulletin, 2019, Volume 74, Issue 5, Pages 205–208
DOI: https://doi.org/10.3103/S0027132219050073
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: A. P. Naumenko, “Approaching real numbers by sums of squares of two primes”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019, no. 5, 51–55; Moscow University Mathematics Bulletin, 74:5 (2019), 205–208
Citation in format AMSBIB
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