English

The least primitive root modulo $p^{2}$

Number Theory 2019-09-02 v1

Abstract

We provide an explicit estimate on the least primitive root mod p2p^{2}. We show, in particular, that every prime pp has a primitive root mod p2p^{2} that is less than p0.99p^{0.99}.

Cite

@article{arxiv.1908.11497,
  title  = {The least primitive root modulo $p^{2}$},
  author = {Bryce Kerr and Kevin McGown and Tim Trudgian},
  journal= {arXiv preprint arXiv:1908.11497},
  year   = {2019}
}

Comments

8 pages

R2 v1 2026-06-23T11:00:31.405Z