Primitive prime factors in second order linear recurrence sequences
Number Theory
2013-01-01 v1
Abstract
For a class of Lucas sequences , we show that if is a positive integer then has a primitive prime factor which divides to an odd power, except perhaps when . This has several desirable consequences.
Cite
@article{arxiv.1212.6306,
title = {Primitive prime factors in second order linear recurrence sequences},
author = {Andrew Granville},
journal= {arXiv preprint arXiv:1212.6306},
year = {2013}
}
Comments
To Andrzej Schinzel on his 75th birthday