Access to the text (HTML) Access to the text (HTML)
PDF Access to the PDF text

Access to the full text of this article requires a subscription.
  • If you are a subscriber, please sign in 'My Account' at the top right of the screen.

  • If you want to subscribe to this journal, see our rates

  • You can purchase this item in Pay Per ViewPay per View - FAQ : 33,00 € Taxes included to order
    Pages Iconography Videos Other
    4 0 0 0

Comptes Rendus Mathématique
Volume 339, n° 5
pages 327-330 (septembre 2004)
Doi : 10.1016/j.crma.2004.06.007
Received : 27 May 2004 ;  accepted : 18 June 2004
Sur les nombres de Fibonacci de la forme  
On Fibonacci numbers of the form  .

Yann Bugeaud a , Maurice Mignotte a , Samir Siksek b
a Université Louis Pasteur, U.F.R. de mathématiques, 7, rue René Descartes, 67084 Strasbourg cedex, France 
b Department of Mathematics and Statistics, College of Science, Sultan Qaboos University, PO Box 36, Al-Khod 123, Oman 


Nous étudions lʼéquation   où q est un nombre premier et k un entier positif. Nous la résolvons pour tous les   et obtenons des conditions nécessaires lorsque  . En particulier, nous répondons à une question de Ribenboim concernant lʼéquation  . Pour citer cet article : Y. Bugeaud et al., C. R. Acad. Sci. Paris, Ser. I 339 (2004).

The full text of this article is available in PDF format.

We study the equation   where q is a prime number and k is a positive integer. We solve it for all   and get partial results when  . In particular, we answer Ribenboimʼs question about  . To cite this article: Y. Bugeaud et al., C. R. Acad. Sci. Paris, Ser. I 339 (2004).

The full text of this article is available in PDF format.

© 2004  Académie des sciences@@#104156@@
EM-CONSULTE.COM is registrered at the CNIL, déclaration n° 1286925.
As per the Law relating to information storage and personal integrity, you have the right to oppose (art 26 of that law), access (art 34 of that law) and rectify (art 36 of that law) your personal data. You may thus request that your data, should it be inaccurate, incomplete, unclear, outdated, not be used or stored, be corrected, clarified, updated or deleted.
Personal information regarding our website's visitors, including their identity, is confidential.
The owners of this website hereby guarantee to respect the legal confidentiality conditions, applicable in France, and not to disclose this data to third parties.
Article Outline
You can move this window by clicking on the headline