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On distribution of semiprime numbers

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Abstract

A semiprime is a natural number which is the product of two (possibly equal) prime numbers. Let y be a natural number and g(y) be the probability for a number y to be semiprime. In this paper we derive an asymptotic formula to count g(y) for large y and evaluate its correctness for different y. We also introduce strongly semiprimes, i.e., numbers each of which is a product of two primes of large dimension, and investigate distribution of strongly semiprimes.

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Authors and Affiliations

  1. Kazan (Volga Region) Federal University, ul. Kremlyovskaya 18, Kazan, 420008, Russia

    Sh. T. Ishmukhametov & F. F. Sharifullina

Authors
  1. Sh. T. Ishmukhametov
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  2. F. F. Sharifullina
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Corresponding author

Correspondence to Sh. T. Ishmukhametov.

Additional information

Original Russian Text © Sh.T. Ishmukhametov, F.F. Sharifullina, 2014, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, No. 8, pp. 53–59.

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Ishmukhametov, S.T., Sharifullina, F.F. On distribution of semiprime numbers. Russ Math. 58, 43–48 (2014). https://doi.org/10.3103/S1066369X14080052

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  • DOI: https://doi.org/10.3103/S1066369X14080052

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