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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 8, Pages 53–59 (Mi ivm8918)  
This article is cited in 2 scientific papers (total in 2 papers)

On a distrubution of semiprime numbers

Sh. T. Ishmukhametov, F. F. Sharifullina

Chair of System Analysis and Information Technologies, Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
Full-text PDF (180 kB) Citations (2)
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Abstract: A semiprime is a natural number which is the product of two (possibly equal) prime numbers. Let $y$ be a natural number and $g(y)$ be the probability for a number $y$ to be semiprime. In this paper we derive an asymptotic formula for counting $g(y)$ for large values of $y$ and evaluate its correctness for different $y$. We also introduce a notion of strong semiprime as a product of two primes of large dimension and investigate a distribution of strong semiprimes.
Keywords: semiprime integer, strong semiprime, distribution of semiprimes, factorization of integers, the RSA ciphering method.
Received: 31.01.2013
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, Volume 58, Issue 8, Pages 43–48
DOI: https://doi.org/10.3103/S1066369X14080052
Bibliographic databases:
Document Type: Article
UDC: 519.711
Language: Russian
Citation: Sh. T. Ishmukhametov, F. F. Sharifullina, “On a distrubution of semiprime numbers”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 8, 53–59; Russian Math. (Iz. VUZ), 58:8 (2014), 43–48
Citation in format AMSBIB
\Bibitem{IshSha14}
\by Sh.~T.~Ishmukhametov, F.~F.~Sharifullina
\paper On a~distrubution of semiprime numbers
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 8
\pages 53--59
\mathnet{http://mi.mathnet.ru/ivm8918}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2014
\vol 58
\issue 8
\pages 43--48
\crossref{https://doi.org/10.3103/S1066369X14080052}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84904669217}
Linking options:
  • https://www.mathnet.ru/eng/ivm8918
  • https://www.mathnet.ru/eng/ivm/y2014/i8/p53
    • This publication is cited in the following 2 articles:
    1. S. T. Ishmukhametov, R. Rubtsova, N. Savelyev, “The error probability of the Miller-Rabin primality test”, Lobachevskii J. Math., 39:7 (2018), 1010–1015  crossref  mathscinet  zmath  isi  scopus
    2. S. Ishmukhametov, F. Sharifullina, “An algorithm for counting smooth integers”, Lobachevskii J. Math., 37:2 (2016), 128–137  crossref  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Abstract page:586
    Full-text PDF :270
    References:65
    First page:12
     
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