Artigo Revisado por pares

On a sequence involving products of primes

2022; Taylor & Francis; Volume: 25; Issue: 6 Linguagem: Inglês

10.1080/09720502.2021.1961981

ISSN

2169-012X

Autores

Reza Farhadian, Rafael Jakimczuk,

Tópico(s)

Advanced Mathematical Theories

Resumo

For n ∈ {1, 2, 3 … } let pn # be the product of the first n prime numbers, which is called the nth 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 .

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