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arXiv · 1404.4096

Characterizations of Mersenne and 2-rooted primes

Sunil K. Chebolu·Keir Lockridge·Gaywalee Yamskulna
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Abstract

We give several characterizations of Mersenne primes (Theorem 1.1) and of primes for which 2 is a primitive root (Theorem 1.2). These characterizations involve group algebras, circulant matrices, binomial coefficients, and bipartite graphs.

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Sunil K. Chebolu, Keir Lockridge, Gaywalee Yamskulna. 2014-04-15. Characterizations of Mersenne and 2-rooted primes. https://arxiv.org/abs/1404.4096

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