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arXiv · 2011.11727

A search for c-Wieferich primes

Alex Samuel Bamunoba·Jonas Bergström
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Abstract

Let $q$ be a power of a prime number $p$, $\mathbb F_q$ be a finite field with $q$ elements and $\mathcal{G}$ be a subgroup of $(\mathbb F_q,+)$ of order $p$. We give an existence criterion and an algorithm for computing maximally $\mathcal{G}$-fixed c-Wieferich primes in $\mathbb F_q[T]$. Using the criterion, we study how c-Wieferich primes behave in $\mathbb F_q[T]$ extensions.

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Alex Samuel Bamunoba, Jonas Bergström. 2020-11-23. A search for c-Wieferich primes. https://arxiv.org/abs/2011.11727

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