English

On the greatest prime factor of ab+1

Number Theory 2013-11-15 v2

Abstract

We improve some results on the size of the greatest prime factor of integers of the form ab+1, where a and b belong to finite sets of integers with rather large density.

Keywords

Cite

@article{arxiv.1311.1161,
  title  = {On the greatest prime factor of ab+1},
  author = {Étienne Fouvry},
  journal= {arXiv preprint arXiv:1311.1161},
  year   = {2013}
}

Comments

38 pages. Theorem 3 of this version is improved. One bibliographical item is added