Published: 2022-09-08

General limit formulae involving prime numbers

Reza Farhadian Logo ORCID , Rafael Jakimczuk

Abstract

Let pn be the nth prime number. In this note, we study strictly increasing sequences of positive integers An such that the limit limn→∞(A1A2···An)1/pn = e holds. This limit formula is in fact a generalization of some previously known results. Furthermore, some other generalizations are established.

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Farhadian, R., & Jakimczuk, R. (2022). General limit formulae involving prime numbers. Annales Mathematicae Silesianae, 36(2), 176–183. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14552

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Domyślna okładka

Vol. 36 No. 2 (2022)
Published: 2022-09-30


ISSN: 0860-2107
eISSN: 2391-4238
Ikona DOI 10.1515/amsil

Publisher
University of Silesia Press

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