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arXiv · 2608.20431

A note on least primitive roots

Gustav Kjærbye Bagger
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Abstract

The least primitive root $g(p)$ modulo a prime $p$ is conjectured by Grosswald to satisfy $g(p)<\sqrt{p}-2$ for any $p>409$. We make progress towards the conjecture by proving $g(p)<\sqrt{p}-2$ when $p > 1.77 \times 10^{54}$.

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Gustav Kjærbye Bagger. 2026-08-20. A note on least primitive roots. https://arxiv.org/abs/2608.20431

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