Zsigmondy's theorem and its applications in contest problems

• Autores: M. Teleuca
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 44, Nº. 3, 2013, págs. 443-451
• Idioma: inglés
• DOI: 10.1080/0020739x.2012.714493
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• Resumen

  • In this article, we present a detailed proof of Zsigmondy's theorem. It proves the existence of primitivedivisors of numbers of the form an?-?bn. And while this is an interesting result in itself, it is also a powerful tool and can be very useful at solving number theory problems that appear at various olympiads.