On some arithmetical properties of lucas and lehmer numbers, ii.

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Abstract

Denote by S the set of non-zero integers composed only of finitely many given primes. We proved with Kiss and Schinzel [7] that if un is a Lucas or Lehmer number with n>6 and un∈S, then |un| can be estimated from above in terms of S. An explicit upper bound for |un| was given later in our article [5]. In the present paper a significant improvement of this bound is established which implies, among other things, that P(un)>14 (log log |un|)1/2 if n>30or if 30≥n>6 and |un| is sufficiently large.

Original languageEnglish
Pages (from-to)67-73
Number of pages7
JournalAnnales Mathematicae et Informaticae
Volume30
Publication statusPublished - Jan 1 2003

ASJC Scopus subject areas

  • Computer Science(all)
  • Mathematics(all)

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