<i>n</i> -Defective Lehmer pairs for small <i>n</i> : Corrections and clarifications

In this paper, we provide some corrections and clarifications of statements in [M. Abouzaid, Les nombres de Lucas et Lehmer sans diviseur primitif, J. Théor. Nombres Bordeaux 18 (2006) 299–313; Y. Bilu, G. Hanrot and P. M. Voutier, Existence of primitive divisors of Lucas and Lehmer numbers, J. Reine Angew. Math. 539 (2001) 75–122] regarding elements in Lehmer sequences that have no primitive divisors for small n.

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Publication Details

Journal
International Journal of Number Theory
Published
2025-06-21
DOI
https://doi.org/10.1142/s179304212550112x
Primary Topic
Coding theory and cryptography
Type
article
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0.00
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article

n -Defective Lehmer pairs for small n : Corrections and clarifications

Paul Voutier
International Journal of Number Theory
Coding theory and cryptography
article

n -Defective Lehmer pairs for small n : Corrections and clarifications

Paul Voutier
article en

Abstract

In this paper, we provide some corrections and clarifications of statements in [M. Abouzaid, Les nombres de Lucas et Lehmer sans diviseur primitif, J. Théor. Nombres Bordeaux 18 (2006) 299–313; Y. Bilu, G. Hanrot and P. M. Voutier, Existence of primitive divisors of Lucas and Lehmer numbers, J. Reine Angew. Math. 539 (2001) 75–122] regarding elements in Lehmer sequences that have no primitive divisors for small n.

International Journal of Number TheoryVol. 21(10)
Openalex Percentile: Top 93%
Coding theory and cryptography
DOISourceOpenAlex
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<i>n</i> -Defective Lehmer pairs for small <i>n</i> : Corrections and clarifications — Paul Voutier · International Journal of Number Theory (2025) | TGRS Research Map | TGRS