English

Computing $\pi(x)$ Analytically

Number Theory 2013-10-30 v3

Abstract

We describe a rigorous implementation of the Lagarias and Odlyzko Analytic Method to evaluate the prime counting function and its use to compute unconditionally the number of primes less than 102410^{24}.

Keywords

Cite

@article{arxiv.1203.5712,
  title  = {Computing $\pi(x)$ Analytically},
  author = {David J. Platt},
  journal= {arXiv preprint arXiv:1203.5712},
  year   = {2013}
}

Comments

15 Pages, 2 Figures

R2 v1 2026-06-21T20:39:58.830Z