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arXiv · 1503.04519

On Grosswald's conjecture on primitive roots

Stephen D. Cohen·Tomás Oliveira e Silva·Tim Trudgian
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Abstract

Grosswald's conjecture is that $g(p)$, the least primitive root modulo $p$, satisfies $g(p) \leq \sqrt{p} - 2$ for all $p>409$. We make progress towards this conjecture by proving that $g(p) \leq \sqrt{p} -2$ for all $409 3.67\times 10^{71}$.

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Stephen D. Cohen, Tomás Oliveira e Silva, Tim Trudgian. 2015-03-16. On Grosswald's conjecture on primitive roots. https://arxiv.org/abs/1503.04519

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