Characterizations of Mersenne and 2-rooted primes
classification
🧮 math.NT
math.CO
keywords
characterizationsprimesmersennetheoremalgebrasbinomialbipartitecirculant
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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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