A+ CATEGORY SCIENTIFIC UNIT

On the number of nonquadratic residues which are not primitive roots

Volume 100 / 2004

Florian Luca, P. G. Walsh Colloquium Mathematicum 100 (2004), 91-93 MSC: Primary 11A25. DOI: 10.4064/cm100-1-8

Abstract

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

Authors

  • Florian LucaInstituto de Matemáticas
    Universidad Nacional Autónoma de México
    C.P. 58180, Morelia, Michoacán, México
    e-mail
  • P. G. WalshDepartment of Mathematics
    University of Ottawa
    585 King Eward Street
    Ottawa, Ontario, Canada
    e-mail

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