Geodesic
On a~distrubution of semiprime numbers
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2014), pp. 53-59

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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 for counting $g(y)$ for large values of $y$ and evaluate its correctness for different $y$. We also introduce a notion of strong semiprime as a product of two primes of large dimension and investigate a distribution of strong semiprimes.
Keywords: semiprime integer, strong semiprime, distribution of semiprimes, factorization of integers, the RSA ciphering method. 
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     author = {Sh. T. Ishmukhametov and F. F. Sharifullina},
     title = {On a~distrubution of semiprime numbers},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {53--59},
     publisher = {mathdoc},
     number = {8},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2014_8_a4/}
}
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Sh. T. Ishmukhametov; F. F. Sharifullina. On a~distrubution of semiprime numbers. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2014), pp. 53-59. http://geodesic.mathdoc.fr/item/IVM_2014_8_a4/