There are no Carmichael numbers of the form $2^np+1$ with $p$ prime
In this paper, we prove the theorem announced in the title.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Académie des sciences
2022-10-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.393/ |
| _version_ | 1797651497949855744 |
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| author | Alahmadi, Adel Luca, Florian |
| author_facet | Alahmadi, Adel Luca, Florian |
| author_sort | Alahmadi, Adel |
| collection | DOAJ |
| description | In this paper, we prove the theorem announced in the title. |
| first_indexed | 2024-03-11T16:16:39Z |
| format | Article |
| id | doaj.art-cdabcb7411d1400b9f24c6fc31c8f748 |
| institution | Directory Open Access Journal |
| issn | 1778-3569 |
| language | English |
| last_indexed | 2024-03-11T16:16:39Z |
| publishDate | 2022-10-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj.art-cdabcb7411d1400b9f24c6fc31c8f7482023-10-24T14:20:27ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692022-10-01360G101177118110.5802/crmath.39310.5802/crmath.393There are no Carmichael numbers of the form $2^np+1$ with $p$ primeAlahmadi, Adel0Luca, Florian1Research Group in Algebraic Structures and its Applications, King Abdulaziz University, Jeddah, Saudi ArabiaCentro de Ciencias Matemáticas, UNAM, Morelia, Mexico; Research Group in Algebraic Structures and Applications, King Abdulaziz University, Abdulah Sulayman, Jeddah 22254, Saudi Arabia; School of Maths, Wits University, 1 Jan Smuts, Braamfontein 2000, Johannesburg, South AfricaIn this paper, we prove the theorem announced in the title.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.393/ |
| spellingShingle | Alahmadi, Adel Luca, Florian There are no Carmichael numbers of the form $2^np+1$ with $p$ prime Comptes Rendus. Mathématique |
| title | There are no Carmichael numbers of the form $2^np+1$ with $p$ prime |
| title_full | There are no Carmichael numbers of the form $2^np+1$ with $p$ prime |
| title_fullStr | There are no Carmichael numbers of the form $2^np+1$ with $p$ prime |
| title_full_unstemmed | There are no Carmichael numbers of the form $2^np+1$ with $p$ prime |
| title_short | There are no Carmichael numbers of the form $2^np+1$ with $p$ prime |
| title_sort | there are no carmichael numbers of the form 2 np 1 with p prime |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.393/ |
| work_keys_str_mv | AT alahmadiadel therearenocarmichaelnumbersoftheform2np1withpprime AT lucaflorian therearenocarmichaelnumbersoftheform2np1withpprime |