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Those fascinating numbers

Who would have thought that listing the positive integers along with their most remarkable properties could end up being such an engaging and stimulating adventure? The author uses this approach to explore elementary and advanced topics in classical number theory. A large variety of numbers are cont...

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Detalles Bibliográficos
Autor principal: Koninck, Jean-Marie De
Lenguaje:eng
Publicado: American Mathematical Society 2009
Materias:
XX
Acceso en línea:http://cds.cern.ch/record/2230400
Descripción
Sumario:Who would have thought that listing the positive integers along with their most remarkable properties could end up being such an engaging and stimulating adventure? The author uses this approach to explore elementary and advanced topics in classical number theory. A large variety of numbers are contemplated: Fermat numbers, Mersenne primes, powerful numbers, sublime numbers, Wieferich primes, insolite numbers, Sastry numbers, voracious numbers, to name only a few. The author also presents short proofs of miscellaneous results and constantly challenges the reader with a variety of old and new n