On min-base palindromic representations of powers of 2
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917567687294976 |
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| author | Kreher, Donald L. Stinson, Douglas R. |
| author_facet | Kreher, Donald L. Stinson, Douglas R. |
| contents | A positive integer $N$ is \emph{palindromic in the base $b$} when $N = \sum_{i=0}^{k} c_i b^i$, $c_k\neq 0$,and $c_i=c_{k-i},\; i=0,1,2,...,k$, Focusing on powers of 2, we investigate the smallest base $b$ when $N=2^n$ is palindromic in the base $b$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_07351 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On min-base palindromic representations of powers of 2 Kreher, Donald L. Stinson, Douglas R. Number Theory 11B75 A positive integer $N$ is \emph{palindromic in the base $b$} when $N = \sum_{i=0}^{k} c_i b^i$, $c_k\neq 0$,and $c_i=c_{k-i},\; i=0,1,2,...,k$, Focusing on powers of 2, we investigate the smallest base $b$ when $N=2^n$ is palindromic in the base $b$. |
| title | On min-base palindromic representations of powers of 2 |
| topic | Number Theory 11B75 |
| url | https://arxiv.org/abs/2401.07351 |