Cyclotomic primes

2024/11/06 by Carl Pomerance, Pomerance, Carl
Mathematics · #11N25 #11N32 #Advanced Topics in Algebra #FOS: Mathematics #Number Theory (math.NT) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2411.04213

openalex publication_date 2024/11/06 · openalex created_date 2024/11/15 · openalex updated_date 2026/07/28

Abstract

Mersenne primes and Fermat primes may be thought of as primes of the form Φ_m(2), where Φ_m(x) is the mth cyclotomic polynomial. This paper discusses the more general problem of primes and composites of this form.

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