Abstract
It is only natural that we start these notes with probably the oldest Book Proof, usually attributed to Euclid (Elements IX, 20). It shows that the sequence of primes does not end.
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References
B. Artmann: Euclid — The Creation of Mathematics, Springer-Verlag, New York 1999.
P. Erdős: Über die Reihe Σ 1/P, Mathematica, Zutphen B 7 (1938), 1–2.
L. Euler: Introductio in Analysin Infinitorum, Tomus Primus, Lausanne 1748; Opera Omnia, Ser. 1, Vol. 8.
H. FÜrstenberg: On the infinitude of primes, Amer. Math. Monthly 62 (1955), 353.
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© 2004 Springer-Verlag Berlin Heidelberg
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Aigner, M., Ziegler, G.M. (2004). Six proofs of the infinity of primes. In: Proofs from THE BOOK. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05412-3_1
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DOI: https://doi.org/10.1007/978-3-662-05412-3_1
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