On the greatest prime factor of terms of a linear recurrence sequence
type: Item
instance of: scholarly article
title: On the greatest prime factor of terms of a linear recurrence sequence
zbMATH Open document ID: 0583.10006
DOI: 10.1216/RMJ-1985-15-2-599
published in: Rocky Mountain Journal of Mathematics
publication date: 1985-01-01T00:00:00Z
review text: The paper gives a very good survey of the results which have been obtained concerning the divisors of terms of linear recurrence sequences. The author lists results on primitive prime divisors, the greatest prime factors and the greatest square-free factors of Fibonaccí, Mersenne, Fermat, Lucas and Lehmer numbers and of terms of linear recurrences of order k (\(\geq 2)\). 49 references complete the paper.
Mathematics Subject Classification ID: 11B37
Mathematics Subject Classification ID: 11-02
Mathematics Subject Classification ID: 11B39
Mathematics Subject Classification ID: 11A41
zbMATH DE Number: 3933147
zbMATH Keywords: bibliography
zbMATH Keywords: Fibonacci numbers
zbMATH Keywords: Mersenne numbers
zbMATH Keywords: Fermat numbers
zbMATH Keywords: Lucas numbers
zbMATH Keywords: Lehmer numbers
zbMATH Keywords: survey
zbMATH Keywords: linear recurrence sequences
zbMATH Keywords: primitive prime divisors
zbMATH Keywords: greatest prime factors
zbMATH Keywords: greatest square-free factors
author: C. L. Stewart
reviewed by: Péter Kiss
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3933147