Author:
János Pintz Rényi Institute of the Hungarian Academy of Sciences H-1364 Budapest, Pf. 127, Hungary H-1364 Budapest, Pf. 127, Hungary

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Summary  

In 1934 Romanov showed that a positive proportion of the natural numbers can be written as the sum of a prime and a power of two. Yong-Gao Chen and Xue-Gong Sun proved recently that the lower asymptotic density of this set is larger than 0.0868. We improve this bound to 0.09368 and show various connections with the generalized twin prime problem and the Goldbach-Linnik problem.

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Acta Mathematica Hungarica
Language English
Size B5
Year of
Foundation
1950
Volumes
per Year
3
Issues
per Year
6
Founder Magyar Tudományos Akadémia  
Founder's
Address
H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher
Chief Executive Officer, Akadémiai Kiadó
ISSN 0236-5294 (Print)
ISSN 1588-2632 (Online)

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