On Grosswald's conjecture on primitive roots

Stephen D. Cohen, Tomás Oliveira e Silva, and Tim Trudgian. "On Grosswald's conjecture on primitive roots." Acta Arithmetica 172.3 (2016): 263-270. <http://eudml.org/doc/286132>.

@article{StephenD2016,
abstract = {Grosswald’s conjecture is that g(p), the least primitive root modulo p, satisfies g(p) ≤ √p - 2 for all p > 409. We make progress towards this conjecture by proving that g(p) ≤ √p -2 for all $409 < p < 2.5 × 10^\{15\}$ and for all $p > 3.38 × 10^\{71\}$.},
author = {Stephen D. Cohen, Tomás Oliveira e Silva, Tim Trudgian},
journal = {Acta Arithmetica},
keywords = {character sums; primitive roots; Burgess' bound; prime sieves},
language = {eng},
number = {3},
pages = {263-270},
title = {On Grosswald's conjecture on primitive roots},
url = {http://eudml.org/doc/286132},
volume = {172},
year = {2016},
}

TY - JOUR
AU - Stephen D. Cohen
AU - Tomás Oliveira e Silva
AU - Tim Trudgian
TI - On Grosswald's conjecture on primitive roots
JO - Acta Arithmetica
PY - 2016
VL - 172
IS - 3
SP - 263
EP - 270
AB - Grosswald’s conjecture is that g(p), the least primitive root modulo p, satisfies g(p) ≤ √p - 2 for all p > 409. We make progress towards this conjecture by proving that g(p) ≤ √p -2 for all $409 < p < 2.5 × 10^{15}$ and for all $p > 3.38 × 10^{71}$.
LA - eng
KW - character sums; primitive roots; Burgess' bound; prime sieves
UR - http://eudml.org/doc/286132
ER -