On a sequence involving products of primes. Issue 6 (18th August 2022)

• Record Type: Journal Article
• Authors: Farhadian, Reza; Jakimczuk, Rafael
• Is Part Of: Journal of interdisciplinary mathematics. Volume 25:Issue 6(2022)
• Page Start: 1585
• Page End: 1598
• Publication Date: 2022-08-18
• Subjects: 11A41 -- 11B83 -- 40A05 -- 11A99 -- 11B99; Prime numbers -- Primorial -- Asymptotic behavior -- Limit -- Generalization; Mathematics -- Periodicals; Mathematics; Periodicals; 510.5
• DOI: 10.1080/09720502.2021.1961981
• Languages: English
• ISSNs: 0972-0502

Abstract

Abstract: For n ∈ {1, 2, 3 … } let pn # be the product of the first n prime numbers, which is called the n th primorial. It is well-known that . In this note, we obtain some asymptotic expansions for the sequence, and we also study the asymptotic behavior of some related sequences. Furthermore, we establish a generalization of the limit formula .