The smallest primitive root modulo a prime

Published 27 Mar 2018 in math.NT | (1803.11061v1)

Abstract: In this paper we will consider new bounds on the smallest primitive root modulo a prime. We will make more judicious use of the P`olya--Vinogradov and Burgess inequalities, and use them to prove that the smallest primitive root is smaller than $p^{0.68}$ for all primes $p$.

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Jana Pretorius

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