MATHEMATICA BOHEMICA, Vol. 130, No. 4, pp. 387-396 (2005)

Distribution of quadratic non-residues
which are not primitive roots

S. Gun, B. Ramakrishnan, B. Sahu, R. Thangadurai

S. Gun, B. Ramakrishnan, B. Sahu, R. Thangadurai, School of Mathematics, Harish Chandra Research Institute, Chhatnag Road, Jhusi, 211019 Allahabad, India, e-mail: sanoli@mri.ernet.in, ramki@mri.ernet.in, sahu@mri.ernet.in, thanga@mri.ernet.in

Abstract: In this article we study, using elementary and combinatorial methods, the distribution of quadratic non-residues which are not primitive roots modulo $p^h$ or $2p^h$ for an odd prime $p$ and $h\geq1$ an integer.

Keywords: quadratic non-residues, primitive roots, Fermat numbers

Classification (MSC2000): 11N69

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