Making an approximations for nth index using Prime number Theorem

Aziz Lokhandwala

doi:https://doi.org/10.14445/22315373/IJMTT-V65I5P515

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 5 | Year 2019 | Article Id. IJMTT-V65I5P515 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I5P515

Making an approximations for nth index using Prime number Theorem

Aziz Lokhandwala

Abstract

Using of Gauss’s Prime number theorem for finding number of primes can also tell us which primes are located for a desired index. But it will give a rough approximation because prime number theorem by Gauss is a rough approximation for number of primes.

Keywords

Prime number theorem

References

[1] Prime number theorem(https://faculty.math.illinois.edu/~r-ash/CV/CV7.pdf)
[2] Newman’s short proof(https://people.mpim- bonn.mpg.de/zagier/files/doi/10.2307/2975232/fulltext.pdf)

Citation :

Aziz Lokhandwala, "Making an approximations for nth index using Prime number Theorem," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 5, pp. 106-109, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I5P515