Primitive divisors of Lucas and Lehmer sequences
Number Theory
2012-02-01 v1
Abstract
Stewart reduced the problem of determining all Lucas and Lehmer sequences whose -th element does not have a primitive divisor to solving certain Thue equations. Using the method of Tzanakis and de Weger for solving Thue equations, we determine such sequences for . Further computations lead us to conjecture that, for , the -th element of such sequences always has a primitive divisor.
Keywords
Cite
@article{arxiv.1201.6659,
title = {Primitive divisors of Lucas and Lehmer sequences},
author = {Paul M Voutier},
journal= {arXiv preprint arXiv:1201.6659},
year = {2012}
}