Academic Journal
Cyclotomic primes
| Title: | Cyclotomic primes |
|---|---|
| Authors: | Pomerance, Carl |
| Source: | Journal of Number Theory. 276:198-208 |
| Publication Status: | Preprint |
| Publisher Information: | Elsevier BV, 2025. |
| Publication Year: | 2025 |
| Subject Terms: | Mathematics - Number Theory, 11N32, 11N25, FOS: Mathematics, Number Theory (math.NT) |
| Description: | Mersenne primes and Fermat primes may be thought of as primes of the form $Φ_m(2)$, where $Φ_m(x)$ is the $m$th cyclotomic polynomial. This paper discusses the more general problem of primes and composites of this form. 13 pages, latest version has calculations to 2^{17} |
| Document Type: | Article |
| Language: | English |
| ISSN: | 0022-314X |
| DOI: | 10.1016/j.jnt.2025.02.013 |
| DOI: | 10.48550/arxiv.2411.04213 |
| Access URL: | http://arxiv.org/abs/2411.04213 |
| Rights: | Elsevier TDM CC BY NC SA |
| Accession Number: | edsair.doi.dedup.....3d81039717a211281f8dc4c09d496b6c |
| Database: | OpenAIRE |
| ISSN: | 0022314X |
|---|---|
| DOI: | 10.1016/j.jnt.2025.02.013 |