An improved analytic Method for calculating $\pi(x)
We present an improved version of the analytic method for calculating $\pi(x)$, 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 $\pi(10^{25})$.
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | We present an improved version of the analytic method for calculating
$\pi(x)$, 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 $\pi(10^{25})$. |
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| DOI: | 10.48550/arxiv.1410.7008 |