Existence of primitive divisors of Lucas and Lehmer numbers
hal.structure.identifier | Mathematisches Institut | |
dc.contributor.author | BILU, Yuri | |
hal.structure.identifier | Solving problems through algebraic computation and efficient software [SPACES] | |
dc.contributor.author | HANROT, Guillaume | |
dc.contributor.author | VOUTIER, Paul | |
dc.date.issued | 2001 | |
dc.identifier.issn | 0075-4102 | |
dc.description.abstractEn | 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. | |
dc.language.iso | en | |
dc.publisher | Walter de Gruyter | |
dc.subject | lucas sequences | |
dc.subject | primitive divisors | |
dc.subject | diviseurs primitifs | |
dc.subject | équations de thue | |
dc.subject | thue equations | |
dc.subject | suites de lucas | |
dc.title.en | Existence of primitive divisors of Lucas and Lehmer numbers | |
dc.type | Article de revue | |
dc.subject.hal | Informatique [cs]/Autre [cs.OH] | |
bordeaux.journal | Journal für die reine und angewandte Mathematik | |
bordeaux.page | 75-122 | |
bordeaux.volume | 539 | |
bordeaux.peerReviewed | oui | |
hal.identifier | inria-00100545 | |
hal.version | 1 | |
hal.popular | non | |
hal.audience | Non spécifiée | |
hal.origin.link | https://hal.archives-ouvertes.fr//inria-00100545v1 | |
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