Rafael Jakimczuk
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 22, 2016, Number 1, Pages 1—4
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Authors and affiliations
Rafael Jakimczuk
División Matemática, Universidad Nacional de Luján
Buenos Aires, Argentina
Abstract
Let pn be the n-th prime number. The following limit is well-known
Let k be a fixed but arbitrary nonnegative integer. In this note we prove the more general limit
Keywords
- Prime numbers
- The e number
- Limits
AMS Classification
- 11A99
- 11B99
References
- Jakimczuk, R. (2007) The Ratio between the Average Factor in a Product and the Last Factor, Mathematical Sciences: Quarterly Journal, 1, 53–62.
- Jakimczuk, R. (2013) Sums of perfect powers, International Journal of Contemporary Mathematical Sciences, 8, 61–67.
- Jakimczuk, R. (2012) Asymptotic formulae for the n-th perfect power, Journal of Integer Sequences, 15, Article 12.5.5.
- Sándor J., & Verroken A. (2011) On a limit involving the product of prime numbers, Notes on Number Theory and Discrete Mathematics, 17(2), 1–3.
- Sándor J. (2012) On certain bounds and limits for prime numbers, Notes on Number Theory and Discrete Mathematics, 18(1), 1–5.
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Cite this paper
Jakimczuk, R. (2016). On a limit where appear prime numbers. Notes on Number Theory and Discrete Mathematics, 22(1), 1-4.