InforLorV4, Hal, Checkpoint, bibRecord, 005E32

Existence of primitive divisors of Lucas and Lehmer numbers

Identifieur interne : 005E32 ( Hal/Checkpoint ); précédent : 005E31; suivant : 005E33

Existence of primitive divisors of Lucas and Lehmer numbers

Auteurs : Yuri Bilu [Allemagne] ; Guillaume Hanrot [France] ; Paul Voutier

Source :

Journal für die reine und angewandte Mathematik [ 0075-4102 ] ; 2001.

RBID : Hal:inria-00100545

Descripteurs français

mix :
- diviseurs primitifs, lucas sequences, primitive divisors, suites de lucas, thue equations, équations de thue.

Abstract

We prove that for~${n>30}$, every~$n$-th Lucas and Lehmer number has a primitive divisor. This allows us to list all Lucas and Lehmer numbers without a primitive divisor.

Url:

https://hal.inria.fr/inria-00100545

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Existence of primitive divisors of Lucas and Lehmer numbers

Existence of primitive divisors of Lucas and Lehmer numbers

Source :

Descripteurs français

Abstract

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