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Zapiski Nauchnykh Seminarov POMI, 2019, Volume 479, Pages 121–130 (Mi znsl6753)  
New probabilistic primality test

A. G. Moshonkin, I. M. Khamitov

Saint Petersburg State University
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Abstract: In this paper we present a new general probabilistic test for primality. The estimated efficiency of our test turns out to be inferior to that of the Miller–Rabin test. However, we provide some heuristic arguments that our estimation of efficiency is quite rough. This allows us to expect that the real efficiency of our test is much greater.
Key words and phrases: prime number, primality test.
Received: 19.06.2019
Document Type: Article
UDC: 511
Language: Russian
Citation: A. G. Moshonkin, I. M. Khamitov, “New probabilistic primality test”, Algebra and number theory. Part 2, Zap. Nauchn. Sem. POMI, 479, POMI, St. Petersburg, 2019, 121–130
Citation in format AMSBIB
\Bibitem{MosKha19}
\by A.~G.~Moshonkin, I.~M.~Khamitov
\paper New probabilistic primality test
\inbook Algebra and number theory. Part~2
\serial Zap. Nauchn. Sem. POMI
\yr 2019
\vol 479
\pages 121--130
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6753}
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  • https://www.mathnet.ru/eng/znsl/v479/p121
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