On the number of nonquadratic residues which are not primitive roots

Florian Luca; P. G. Walsh

Colloquium Mathematicae (2004)

  • Volume: 100, Issue: 1, page 91-93
  • ISSN: 0010-1354

Abstract

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We show that there exist infinitely many positive integers r not of the form (p-1)/2 - ϕ(p-1), thus providing an affirmative answer to a question of Neville Robbins.

How to cite

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Florian Luca, and P. G. Walsh. "On the number of nonquadratic residues which are not primitive roots." Colloquium Mathematicae 100.1 (2004): 91-93. <http://eudml.org/doc/283653>.

@article{FlorianLuca2004,
abstract = {We show that there exist infinitely many positive integers r not of the form (p-1)/2 - ϕ(p-1), thus providing an affirmative answer to a question of Neville Robbins.},
author = {Florian Luca, P. G. Walsh},
journal = {Colloquium Mathematicae},
keywords = {primitive root; quadratic nonresidue},
language = {eng},
number = {1},
pages = {91-93},
title = {On the number of nonquadratic residues which are not primitive roots},
url = {http://eudml.org/doc/283653},
volume = {100},
year = {2004},
}

TY - JOUR
AU - Florian Luca
AU - P. G. Walsh
TI - On the number of nonquadratic residues which are not primitive roots
JO - Colloquium Mathematicae
PY - 2004
VL - 100
IS - 1
SP - 91
EP - 93
AB - We show that there exist infinitely many positive integers r not of the form (p-1)/2 - ϕ(p-1), thus providing an affirmative answer to a question of Neville Robbins.
LA - eng
KW - primitive root; quadratic nonresidue
UR - http://eudml.org/doc/283653
ER -

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