Article ID Journal Published Year Pages File Type
4582805 Finite Fields and Their Applications 2015 22 Pages PDF
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.

Keywords
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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Characterizations of Mersenne and 2-rooted primes
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