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Gustav Kjaerbye Bagger

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Preprint Aug 2026

A note on least primitive roots

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 $p>1.77 \times 10^{54}$.

Gustav Kjaerbye Bagger · 0 citations