A Short Review on Prime Number Theorem

Anuja Ray Chaudhuri

doi:https://doi.org/10.14445/22315373/IJMTT-V47P530

International Journal of Mathematics Trends and Technology

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Volume 47 | Number 3 | Year 2017 | Article Id. IJMTT-V47P530 | DOI : https://doi.org/10.14445/22315373/IJMTT-V47P530

A Short Review on Prime Number Theorem

Anuja Ray Chaudhuri

Abstract

Prime number theorem is a well known theorem in Mathematics, specially in Number Theory which describes the asymptotic distribution of prime numbers. One of the remarkable discovery regarding this topic is Riemann Hypothesis. Since a long period several renowned mathematicians are trying to prove or disprove this hypothesis and to reduce the error bound of the asymptotic distribution of prime counting function.

Keywords

Prime Number Theorem, Riemann Hypothesis, asymptotic approximation, prime counting function, Scale invariant infinitesimals.

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Citation :

Anuja Ray Chaudhuri, "A Short Review on Prime Number Theorem," International Journal of Mathematics Trends and Technology (IJMTT), vol. 47, no. 3, pp. 225-229, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V47P530