Geodesic
Es gibt unendlich viele Primzahlen - der Satz von Euklid
The Teaching of Mathematics, X (2007) no. 2, p. 63 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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In this paper we consider famous Euclidean theorem which is mentioned in the title. Also, we consider numerous proofs of this theorem and its modifications. These modifications were given by famous mathematicians like Kummer, Stieltjes, Fermat, Sylvester, Legendre, Dirichlet, Bertrand and Euler. Proofs are various and they use number theory, analysis, algebra, combinatorics and topology. Indeed, this paper is a complete overview of all relevant fact connected with Euclidean theorem that the set of all prime numbers is infinite and his proof of this theorem.
Classification : 00A35 F65
Keywords: Primes, factorization, Euclid's theorem, Fermat's numbers, Dirichlet's theorem, Euler's product, Mersenne's prime numbers, Euler's f-function, combinatorial proof, topological proof. 
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     author = {\v{S}efket Arslanagi\'c and Walther Janous},
     title = {Es gibt unendlich viele {Primzahlen} - der {Satz} von {Euklid}},
     journal = {The Teaching of Mathematics},
     pages = {63 },
     year = {2007},
     volume = {X},
     number = {2},
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     url = {http://geodesic.mathdoc.fr/item/TM2_2007_X_2_a0/}
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Šefket Arslanagić; Walther Janous. Es gibt unendlich viele Primzahlen - der Satz von Euklid. The Teaching of Mathematics, X (2007) no. 2, p. 63 . http://geodesic.mathdoc.fr/item/TM2_2007_X_2_a0/