On primitive divisors of n^2+b
Number Theory
2007-05-23 v1
Abstract
We study primitive divisors of terms of the sequence P_n=n^2+b, for a fixed integer b which is not a negative square. It seems likely that the number of terms with a primitive divisor has a natural density. This seems to be a difficult problem. We survey some results about divisors of this sequence as well as provide upper and lower growth estimates for the number of terms which have a primitive divisor.
Keywords
Cite
@article{arxiv.math/0701234,
title = {On primitive divisors of n^2+b},
author = {Graham Everest and Glyn Harman},
journal= {arXiv preprint arXiv:math/0701234},
year = {2007}
}
Comments
15 page preprint