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On the greatest prime factor of terms of a linear recurrence sequence. (English) Zbl 0583.10006
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 FibonaccĂ­, Mersenne, Fermat, Lucas and Lehmer numbers and of terms of linear recurrences of order k (\(\geq 2)\). 49 references complete the paper.
Reviewer: P.Kiss

MSC:
11B37 Recurrences
11-02 Research exposition (monographs, survey articles) pertaining to number theory
11B39 Fibonacci and Lucas numbers and polynomials and generalizations
11A41 Primes
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