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arXiv · 1709.01172

Least Prime Primitive Roots

N. A. Carella
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Abstract

This note presents an upper bound for the least prime primitive roots $g^*(p)$ modulo $p$, a large prime. The current literature has several estimates of the least prime primitive root $g^*(p)$ modulo a prime $p\geq 2$ such as $g^*(p)\ll p^c, c>2.8$. The estimate provided within seems to sharpen this estimate to the smaller estimate $g^*(p)\ll p^{5/\log \log p}$ uniformly for all large primes $p\geq 2$.

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N. A. Carella. 2017-09-01. Least Prime Primitive Roots. https://arxiv.org/abs/1709.01172

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