Franke, JensKleinjung, ThorstenBuethe, JanJost, Alexander2017-09-052017-09-052017-09-05201710.1090/mcom/3038https://infoscience.epfl.ch/handle/20.500.14299/140032WOS:000404567600013In this paper we give a description of a practical analytic method for the computation of pi(x), the number of prime numbers <= x. The method is similar to the one proposed by Lagarias and Odlyzko but uses the Weil-Barner explicit formula instead of curve integrals.text::journal::journal article::research article