General limit formulae involving prime numbers

DOI10.2478/AMSIL-2022-0014zbMath1501.11018OpenAlexW4295682522WikidataQ114041418 ScholiaQ114041418MaRDI QIDQ2081353

Rafael Jakimczuk, Reza Farhadian

Publication date: 12 October 2022

Published in: Annales Mathematicae Silesianae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/amsil-2022-0014

zbMATH Keywords

generalizationprime numbersnumber \(e\)limit formula

Mathematics Subject Classification ID

Evaluation of number-theoretic constants (11Y60) Primes (11A41) Convergence and divergence of infinite products (40A20)

Cites Work

• Notes on a general sequence
• A further generalization of \(\lim_{n \to \infty}\sqrt[n{n!}/n = 1/e\)]
• A note on two fundamental recursive sequences
• A note on the geometric mean of prime numbers and generalizations
• A Generalization of Euler’s Limit
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