English

Statistics of small prime quadratic non-residues

Number Theory 2023-01-02 v1

Abstract

We prove that the average of the kk-th smallest prime quadratic non-residue modulo a prime approximates the 2k2k-th smallest prime.

Keywords

Cite

@article{arxiv.2212.14816,
  title  = {Statistics of small prime quadratic non-residues},
  author = {Efthymios Sofos},
  journal= {arXiv preprint arXiv:2212.14816},
  year   = {2023}
}

Comments

Accepted for publication by Rend. Semin. Mat. Univ. Padova