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arXiv · 2310.04527

A note on prime index of a certain subgroup in $\mathbb{F}_p^*$

Wei-Liang Sun
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Abstract

Under the generalized Riemann hypothesis, we illustrate that the ratio of the set of primes $p$ such that $\langle -1, 2 \rangle$ has an odd prime index in $\mathbb{F}_p^*$ to the set of primes $p$ such that the subgroup has index greater than $2$ nears $46 \%$.

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Wei-Liang Sun. 2023-10-03. A note on prime index of a certain subgroup in $\mathbb{F}_p^*$. https://arxiv.org/abs/2310.04527

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