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Von der Reihe der Primzahlen

In: Von Zahlen und Figuren

Author

Listed:
  • Hans Rademacher

    (Universität Breslau)

  • Otto Toeplitz

    (Universität Bonn)

Abstract

Zusammenfassung 6 ist gleich 2 mal 3. Die 7 läßt sich nicht in ähnlicher Weise in zwei Faktoren zerlegen. Darum nennt man 7 eine Primzahl. Primzahl nennt man also eine ganze positive Zahl, die sich nicht in zwei kleinere Faktoren zerlegen läßt. Auch 5, auch 3 ist Primzahl; 4 nicht, da 4 = 2·2 ist. Die 2 selbst ist auch Primzahl zu nennen. Bei der 1 hat es keinen rechten Sinn mehr, davon zu reden. Die ersten Primzahlen sind also: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37,... Dem unmittelbaren Anblick nach ist ihre Reihe etwas kraus; ein einfaches Gesetz bietet sich darin nicht sofort dar.

Suggested Citation

  • Hans Rademacher & Otto Toeplitz, 1933. "Von der Reihe der Primzahlen," Springer Books, in: Von Zahlen und Figuren, edition 0, chapter 1, pages 1-5, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-36239-6_1
    DOI: 10.1007/978-3-662-36239-6_1
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