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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## Details

### Authors and affiliations

Rafael Jakimczuk

*División Matemática, Universidad Nacional de Luján
Buenos Aires, Argentina
*

### Abstract

Let *p _{n}* 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.

## Related papers

## Cite this paper

APAJakimczuk, R. (2016). On a limit where appear prime numbers. Notes on Number Theory and Discrete Mathematics, 22(1), 1-4.

ChicagoJakimczuk, Rafael. “On a limit where appear prime numbers.” Notes on Number Theory and Discrete Mathematics 22, no. 1 (2016): 1-4.

MLAJakimczuk, Rafael. “On a limit where appear prime numbers.” Notes on Number Theory and Discrete Mathematics 22.1 (2016): 1-4. Print.