Existence of primitive divisors of Lucas and Lehmer numbers
Identifieur interne : 002093 ( Hal/Curation ); précédent : 002092; suivant : 002094Existence of primitive divisors of Lucas and Lehmer numbers
Auteurs : Yuri Bilu [Allemagne] ; Guillaume Hanrot [France] ; Paul VoutierSource :
- Journal für die reine und angewandte Mathematik [ 0075-4102 ] ; 2001.
Descripteurs français
- mix :
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.
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