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Six proofs of the infinity of primes

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Proofs from THE BOOK

Abstract

It is only natural that we start these notes with probably the oldest Book Proof, usually attributed to Euclid. It shows that the sequence of primes does not end.

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References

  1. Erdös: Über die Reihe Σ 1/p, Mathematica, Zutphen B 7(1938), 1–2.

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  2. L. Euler: Introductio in Analysin Infinitorum,Tomus Primus, Lausanne 1748; Opera Omnia, Ser. 1, Vol. 90.

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  3. H. Fürstenberg: On the infinitude of primes, Amer. Math. Monthly 62 (1955), 353.

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© 1998 Springer-Verlag Berlin Heidelberg

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Aigner, M., Ziegler, G.M. (1998). Six proofs of the infinity of primes. In: Proofs from THE BOOK. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-22343-7_1

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  • DOI: https://doi.org/10.1007/978-3-662-22343-7_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-22345-1

  • Online ISBN: 978-3-662-22343-7

  • eBook Packages: Springer Book Archive

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