| Title:
|
Can a Lucas number be a sum of three repdigits? (English) |
| Author:
|
Adegbindin, Chèfiath A. |
| Author:
|
Togbé, Alain |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
61 |
| Issue:
|
3 |
| Year:
|
2020 |
| Pages:
|
383-396 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We give the answer to the question in the title by proving that \begin{equation*} L_{18} = 5778 = 5555 + 222 + 1 \end{equation*} is the largest Lucas number expressible as a sum of exactly three repdigits. Therefore, there are many Lucas numbers which are sums of three repdigits. (English) |
| Keyword:
|
Pell equation |
| Keyword:
|
repdigit |
| Keyword:
|
linear forms in complex logarithms |
| MSC:
|
11A25 |
| MSC:
|
11B39 |
| MSC:
|
11J86 |
| idZBL:
|
Zbl 07286011 |
| idMR:
|
MR4186114 |
| DOI:
|
10.14712/1213-7243.2020.028 |
| . |
| Date available:
|
2020-11-27T07:45:49Z |
| Last updated:
|
2022-10-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148473 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
