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Russian Mathematical Surveys, 2011, Volume 66, Issue 2, Pages 209–220
DOI: https://doi.org/10.1070/RM2011v066n02ABEH004739 (Mi rm9419) 		 
This article is cited in 8 scientific papers (total in 9 papers)

A property of the set of prime numbers

A. A. Karatsuba

Steklov Mathematical Institute, Russian Academy of Sciences
English version PDF (416 kB) Citations (9) Russian version article
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DOI: https://doi.org/10.1070/RM2011v066n02ABEH004739
Abstract: A phenomenon of interdependency between the structure of positive integers and the form of their prime factors is discovered. This paper was prepared for publication by E. A. Karatsuba and M. E. Changa, based on A. A. Karatsuba's drafts and notes from 2007–2008. Details of calculations are due to Changa.
Bibliography: 10 titles.
Keywords: prime factors, arithmetic progressions.
Received: 06.01.2011
Bibliographic databases:
Document Type: Article
UDC: 511
MSC: 11N25
Language: English
Original paper language: Russian
Citation: A. A. Karatsuba, “A property of the set of prime numbers”, Russian Math. Surveys, 66:2 (2011), 209–220
Citation in format AMSBIB
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\by A.~A.~Karatsuba
\paper A property of the set of prime numbers
\jour Russian Math. Surveys
\yr 2011
\vol 66
\issue 2
\pages 209--220
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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