Re: [HM] Looking for a discoverer
Roger CUCULIERE (cuculier@sophocle.imaginet.fr)
Fri, 10 Jul 1998 19:17:09 +0200
A 16:25 08/07/98 EDT, vous avez ecrit:
>Would you by chance know who was the first mathematician to establish
>that, if N primes are in arithmetical progression, the difference between
>two consecutive terms is a multiple of each prime smaller than N ?
>Or if this result has been attributed – fairly or not – to some mathematician?
>
>Jacques Lubczanski
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In "History of the theory of numbers", vol. I, p. 425, Leonard Eugene Dickson writes that M. Cantor has first proved this general result.
One can find this proof in the article of Moritz Benedikt Cantor (1829-1920) : "Ueber arithmetische Progressionen von Primzahlen", in "Zeitschrift fu"r Mathematik und Physik", Leipzig, 1861, p. 340 .