Characterizations of Mersenne and 2-Rooted Primes

Authors

Sunil K. Chebolu, Illinois State UniversityFollow
Keir H. Lockridge, Gettysburg CollegeFollow
Gaywalee Yamskulna, Illinois State University

Document Type

Article

Publication Date

9-2015

Department 1

Mathematics

Abstract

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

Comments

Original version is available from the publisher, Elsevier.

DOI

10.1016/j.ffa.2015.06.003

Recommended Citation

Chebolu, Sunil K., Keir Lockridge, and Gaywalee Yamskulna. "Characterizations of Mersenne and 2-Rooted Primes." Finite Fields and Their Applications 35 (September 2015), 330-351.