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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021, Number 9, Pages 86–91
DOI: https://doi.org/10.26907/0021-3446-2021-9-86-91 (Mi ivm9716) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Brief communications

On the number of primality witnesses of composite integers

B. G. Mubarakov

Kazan Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
Full-text PDF (309 kB) Citations (2)
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DOI: https://doi.org/10.26907/0021-3446-2021-9-86-91
Abstract: In this paper we deduce asymptotic upper and lower bounds for an average probability of error in the Miller–Rabin primality test.
Keywords: The Miller–Rabin probabilistic primality test, error probability.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2021-1393
Received: 22.06.2021
Revised: 22.06.2021
Accepted: 29.06.2021
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2021, Volume 65, Issue 9, Pages 73–77
DOI: https://doi.org/10.3103/S1066369X21090097
Document Type: Article
UDC: 511.1
Language: Russian
Citation: B. G. Mubarakov, “On the number of primality witnesses of composite integers”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 9, 86–91; Russian Math. (Iz. VUZ), 65:9 (2021), 73–77
Citation in format AMSBIB
\Bibitem{Mub21}
\by B.~G.~Mubarakov
\paper On the number of primality witnesses of composite integers
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2021
\issue 9
\pages 86--91
\mathnet{http://mi.mathnet.ru/ivm9716}
\crossref{https://doi.org/10.26907/0021-3446-2021-9-86-91}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2021
\vol 65
\issue 9
\pages 73--77
\crossref{https://doi.org/10.3103/S1066369X21090097}
Linking options:
  • https://www.mathnet.ru/eng/ivm9716
  • https://www.mathnet.ru/eng/ivm/y2021/i9/p86
    • This publication is cited in the following 2 articles:
    1. A. R. Zhumaniezov, “Problema otsenki effektivnosti testa Millera-Rabina”, Mezhdunar. nauch.-issled. zhurn., 2023, no. 5(131), 1–9  mathnet
    2. Sh. Ishmukhametov, N. Antonov, B. Mubarakov, “On a Modification of The Lucas Primality Test”, Lobachevskii J Math, 44:7 (2023), 2700  crossref
    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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    Full-text PDF :85
    References:36
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