Primitive values of quadratic polynomials in a finite field

Andrew Booker, Stephen Cohen, Nicole Sutherland, Timothy Trudgian

Research output: Contribution to journalArticle (Academic Journal)peer-review

14 Citations (Scopus)
276 Downloads (Pure)


We prove that for all q > 211, there always exists a primitive root g in the finite field Fq such that Q(g) is also a primitive root, where Q(x) = ax2 + bx + c is a quadratic polynomial with a; b; cFq such that b2 — 4ac ≠ 0.
Original languageEnglish
Number of pages10
JournalMathematics of Computation
Early online date30 Oct 2018
Publication statusE-pub ahead of print - 30 Oct 2018


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