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Die Tafel des quadratischen Charakters der Primzahlen

In: Die Wechselwirkung zwischen Zahlenrechnen und Zahlentheorie bei C. F. Gauß

Author

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  • Ph. Maennchen

Abstract

Zusammenfassung Bei dem Bestreben, große Zahlen in Faktoren zu zerlegen, ist der im vorigen Abschnitt gekennzeichnete Weg nicht der erste und nicht der einzige gewesen. Die frühesten Versuche bestanden wohl darin, daß er Zahlengruppen von der Form a 2 + l, a 2 + 2, a 2 + 3, a 2 + 4, a 2 + 5, a 2 + 7, a 2 + 9, a 2 + 11, allgemein a 2 + p bezw. a 2 + p 2 aufstellte und alle Zahlen dieser Gruppen in ihre Primfaktoren zerlegte. Die Beobachtungen, die er bei dieser Gelegenheit machte, führten ihn sowohl zu der jetzt zu besprechenden Theorie der quadratischen Reste, als auch zu den Tafeln zur Cyklotechnie, von denen im nächsten Abschnitt die Rede sein wird.

Suggested Citation

  • Ph. Maennchen, 1918. "Die Tafel des quadratischen Charakters der Primzahlen," Springer Books, in: Die Wechselwirkung zwischen Zahlenrechnen und Zahlentheorie bei C. F. Gauß, chapter 0, pages 26-29, Springer.
    • Handle: RePEc:spr:sprchp:978-3-663-16063-2_8
    DOI: 10.1007/978-3-663-16063-2_8
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