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Diskretnaya Matematika, 2003, Volume 15, Issue 3, Pages 54–65
DOI: https://doi.org/10.4213/dm205 (Mi dm205) 		 
On the complexity of testing for the primality of a number by homogeneous structures

A. M. Stepanenkov
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DOI: https://doi.org/10.4213/dm205
Abstract: In this paper, it is shown that under Turing coding of natural numbers primality of a number is tested by homogeneous structures in time asymptotically equal to the half of the length of the code.
The research was supported by the Russian Foundation of Basic Research, grant 02–01–00162.
Received: 11.10.2002
English version:
Discrete Mathematics and Applications, 2003, Volume 13, Issue 4, Pages 343–354
DOI: https://doi.org/10.1515/156939203322556027
Bibliographic databases:
UDC: 519.7
Language: Russian
Citation: A. M. Stepanenkov, “On the complexity of testing for the primality of a number by homogeneous structures”, Diskr. Mat., 15:3 (2003), 54–65; Discrete Math. Appl., 13:4 (2003), 343–354
Citation in format AMSBIB
\Bibitem{Ste03}
\by A.~M.~Stepanenkov
\paper On the complexity of testing for the primality of a number by homogeneous structures
\jour Diskr. Mat.
\yr 2003
\vol 15
\issue 3
\pages 54--65
\mathnet{http://mi.mathnet.ru/dm205}
\crossref{https://doi.org/10.4213/dm205}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2021204}
\zmath{https://zbmath.org/?q=an:1088.68651}
\transl
\jour Discrete Math. Appl.
\yr 2003
\vol 13
\issue 4
\pages 343--354
\crossref{https://doi.org/10.1515/156939203322556027}
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