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On the Number of Primality Witnesses of Composite Integers

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Abstract

In this paper, we deduce asymptotic upper and lower bounds for the average probability of error in the Miller–Rabin primality test.

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REFERENCES

  1. Miller G. "Riemann's hypothesis and tests for primality", J. Comput. Syst. Sci. 13, 300-317 (1976).

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  4. Ishmukhametov S., Rubtsova R., Savelyev N. "The error probability of the Miller–Rabin primality test", Lobachevskii J. Math. 39 (7), 1010-1015 (2018).

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Funding

The work of the first author is conducted in the framework of realization of the development programme of the Volga Region Scientific-Educational Center of Mathematics of Kazan (Volga region) Federal University, agreement no. 075-02-2021-1393.

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Authors and Affiliations

  1. Kazan Federal University, 18 Kremlyovskaya str., 420008, Kazan, Russia

    B. G. Mubarakov

Authors
  1. B. G. Mubarakov
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Correspondence to B. G. Mubarakov.

Additional information

Communicated by Sh. T. Ishmukhametov.

Russian Text © The Author(s), 2021, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021, No. 9, pp. 86–91.

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Mubarakov, B.G. On the Number of Primality Witnesses of Composite Integers. Russ Math. 65, 73–77 (2021). https://doi.org/10.3103/S1066369X21090097

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  • DOI: https://doi.org/10.3103/S1066369X21090097

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