Dirichlet's theorem related prime gap statistics
In this paper, we investigate a special prime gap problem which results from Dirichlet's theorem and relate it to the twin prime conjecture. Then we numerically study the density of several classes of the prime gap that not exceeding a natural number N. A few open problems are given.
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English English |
| Published: |
Universiti Putra Malaysia
2016
|
| Subjects: | |
| Online Access: | http://irep.iium.edu.my/50598/ http://irep.iium.edu.my/50598/1/50598_Dirichlet%27s%20theorem%20related%20prime%20gap%20statistics.pdf http://irep.iium.edu.my/50598/2/50598_Dirichlet%27s%20theorem%20related%20prime%20gap%20statistics%20_SCOPUS.pdf |
| _version_ | 1848783675420835840 |
|---|---|
| author | Pah, Chin Hee |
| author_facet | Pah, Chin Hee |
| author_sort | Pah, Chin Hee |
| building | IIUM Repository |
| collection | Online Access |
| description | In this paper, we investigate a special prime gap problem which results from Dirichlet's theorem and relate it to the twin prime conjecture. Then we numerically study the density of several classes of the prime gap that not exceeding a natural number N. A few open problems are given. |
| first_indexed | 2025-11-14T16:25:07Z |
| format | Article |
| id | iium-50598 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T16:25:07Z |
| publishDate | 2016 |
| publisher | Universiti Putra Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-505982017-03-10T06:27:17Z http://irep.iium.edu.my/50598/ Dirichlet's theorem related prime gap statistics Pah, Chin Hee Q Science (General) In this paper, we investigate a special prime gap problem which results from Dirichlet's theorem and relate it to the twin prime conjecture. Then we numerically study the density of several classes of the prime gap that not exceeding a natural number N. A few open problems are given. Universiti Putra Malaysia 2016 Article PeerReviewed application/pdf en http://irep.iium.edu.my/50598/1/50598_Dirichlet%27s%20theorem%20related%20prime%20gap%20statistics.pdf application/pdf en http://irep.iium.edu.my/50598/2/50598_Dirichlet%27s%20theorem%20related%20prime%20gap%20statistics%20_SCOPUS.pdf Pah, Chin Hee (2016) Dirichlet's theorem related prime gap statistics. Malaysian Journal of Mathematical Sciences, 10. pp. 305-310. ISSN 1823-8343 http://einspem.upm.edu.my/journal/fullpaper/vol10sfeb2/No26.pdf |
| spellingShingle | Q Science (General) Pah, Chin Hee Dirichlet's theorem related prime gap statistics |
| title | Dirichlet's theorem related prime gap statistics |
| title_full | Dirichlet's theorem related prime gap statistics |
| title_fullStr | Dirichlet's theorem related prime gap statistics |
| title_full_unstemmed | Dirichlet's theorem related prime gap statistics |
| title_short | Dirichlet's theorem related prime gap statistics |
| title_sort | dirichlet's theorem related prime gap statistics |
| topic | Q Science (General) |
| url | http://irep.iium.edu.my/50598/ http://irep.iium.edu.my/50598/ http://irep.iium.edu.my/50598/1/50598_Dirichlet%27s%20theorem%20related%20prime%20gap%20statistics.pdf http://irep.iium.edu.my/50598/2/50598_Dirichlet%27s%20theorem%20related%20prime%20gap%20statistics%20_SCOPUS.pdf |