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Die Welt der Primzahlen pp 163–231Cite as

Wie sind die Primzahlen verteilt?

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Zusammenfassung

Wie ich bereits betont hatte, sind die verschiedenen Beweise der Unendlichkeit der Anzahl der Primzahlen nicht konstruktiv. Man erhält daher keine Aussage darüber, wie man die n-te Primzahl bestimmen kann. Zudem geben die Beweise auch keinen Hinweis darauf, wie viele Primzahlen es bis zu einer vorgegebenen Zahl N gibt. Und umgekehrt ist keine vernünftige Formel oder Funktion bekannt, die die Primzahlen repräsentiert.

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    Prof. Dr. Paulo Ribenboim

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Ribenboim, P. (2011). Wie sind die Primzahlen verteilt?. In: Die Welt der Primzahlen. Springer-Lehrbuch. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18079-8_4

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