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Journal de Théorie des Nombres de Bordeaux
Article . 2008 . Peer-reviewed
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https://dx.doi.org/10.5802/jtn...
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Les nombres de Lucas et Lehmer sans diviseur primitif

descriptionPublicationkeyboard_double_arrow_right Article 02 Dec 2008 English Publisher:MathDoc/Centre MersenneJournal:Journal de théorie des nombres de Bordeaux, volume 18, pages 299-313 (eissn: 2118-8572, Copyright policy )
Authors: Mourad Abouzaid;

doi: 10.5802/jtnb.545

Les nombres de Lucas et Lehmer sans diviseur primitif

Abstract

Y. Bilu, G. Hanrot et P.M. Voutier ont montré que pour toute paire de Lucas ou de Lehmer ( α , β ) et pour tout n > 30 , les entiers, dits nombres de Lucas (ou de Lehmer) u n ( α , β ) admettaient un diviseur primitif. L’objet de ce papier est de compléter la liste des nombres de Lucas et de Lehmer défectueux donnée par P.M. Voutier, afin d’en avoir une liste exhaustive.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
25
Top 10%
Top 10%
Top 10%
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