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An algorithm for counting smooth integers

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Publication:726419
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DOI10.1134/S1995080216020062zbMath1414.11110OpenAlexW2466842879MaRDI QIDQ726419

Sh. T. Ishmukhametov, F. F. Sharifullina

Publication date: 11 July 2016

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080216020062


zbMATH Keywords

smooth integerscalculation of smoothsDickman-de Bruijn functiondistribution of smooths


Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Distribution of integers with specified multiplicative constraints (11N25)


Related Items (2)

On distribution of semiprime numbers ⋮ On powersmooth numbers



Cites Work

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  • On the number of positive integers \(\leq x\) and free of prime factors \(>y\)
  • Integers without large prime factors
  • On practical aspects of the Miller-Rabin primality test
  • Approximating the number of integers without large prime factors
  • On Integers Free of Large Prime Factors
  • Approximating the number of integers free of large prime factors


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