On a sequence involving products of primes
2022; Taylor & Francis; Volume: 25; Issue: 6 Linguagem: Inglês
10.1080/09720502.2021.1961981
ISSN2169-012X
AutoresReza Farhadian, Rafael Jakimczuk,
Tópico(s)Advanced Mathematical Theories
ResumoFor 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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