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arXiv · 1410.7008

An improved analytic Method for calculating $π(x)$

Jan Büthe
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Abstract

We present an improved version of the analytic method for calculating $π(x)$, the number of prime numbers not exceeding $x$. We implemented this method in cooperation with J. Franke, T. Kleinjung and A. Jost and calculated the value $π(10^{25})$.

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Jan Büthe. 2015-11-06. An improved analytic Method for calculating $π(x)$. https://arxiv.org/abs/1410.7008

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