Geodesic
On the number of primality witnesses of composite integers
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2021), pp. 86-91.

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
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     title = {On the number of primality witnesses of composite integers},
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B. G. Mubarakov. On the number of primality witnesses of composite integers. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2021), pp. 86-91. http://geodesic.mathdoc.fr/item/IVM_2021_9_a8/

[1] Miller G., “Riemann's hypothesis and tests for primality”, J. Comput. and Syst. Sci., 13 (1976), 300–317 | DOI | Zbl

[2] Rabin M. O., “Probabilistic algorithm for testing primality”, J. Number Theor., 12:1 (1980), 128–138 | DOI | Zbl

[3] Monier L., “Evaluation and comparision of two efficient probabilistic primality testing algorithms”, Theor. Comput. Sci., 12:1 (1980), 97–108 | DOI | Zbl

[4] Ishmukhametov S., Rubtsova R., Savelyev N., “The Error Probability of the Miller–Rabin Primality Test”, Lobachevskii J. of Math., 39:7 (2018), 1010–1015 | DOI | Zbl