Some observations on the greatest prime factor of an integer

Rafael Jakimczuk

Published: 2022-11-23

Vol. 37 No. 1 (2023)

Some observations on the greatest prime factor of an integer

Rafael Jakimczuk

Abstract

We examine the multiplicity of the greatest prime factor in k-full numbers and k-free numbers. We generalize a well-known result on greatest prime factors and obtain formulas related with the Riemann zeta function.

Keywords:

greatest prime factor , zeta function

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Jakimczuk, R. (2022). Some observations on the greatest prime factor of an integer. Annales Mathematicae Silesianae, 37(1), 67–81. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14910

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Vol. 37 No. 1 (2023)
Published: 2023-03-03

ISSN: 0860-2107

eISSN: 2391-4238

10.2478/amsil

Publisher

University of Silesia Press

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