A new characterization for the Lucas-Carmichael Integers and sums of base-$p$ digits
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914641362288640 |
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| author | Tamilvanan, Sridhar Muthukrishnan, Subramani |
| author_facet | Tamilvanan, Sridhar Muthukrishnan, Subramani |
| contents | In this paper, we prove a necessary and sufficient condition for the Lucas-Carmichael integers in terms of the sum of base-$p$ digits. We also study some interesting properties of such integers. Finally, we prove that there are infinitely many Lucas-Carmichael integers assuming the prime $k$-tuples conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_08012 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A new characterization for the Lucas-Carmichael Integers and sums of base-$p$ digits Tamilvanan, Sridhar Muthukrishnan, Subramani Number Theory In this paper, we prove a necessary and sufficient condition for the Lucas-Carmichael integers in terms of the sum of base-$p$ digits. We also study some interesting properties of such integers. Finally, we prove that there are infinitely many Lucas-Carmichael integers assuming the prime $k$-tuples conjecture. |
| title | A new characterization for the Lucas-Carmichael Integers and sums of base-$p$ digits |
| topic | Number Theory |
| url | https://arxiv.org/abs/2311.08012 |