Searching for Kaprekar's constants: algorithms and results
We examine some new results on Kaprekar's constants, specifically establishing the unique 7-digit (in base 4) and 9-digit (in base 5) Kaprekar's constants and showing that there are no 15-, 21-, 27-, or 33-digit Kaprekar's constants.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.2999 |
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| _version_ | 1832545425058430976 |
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| author | Byron L. Walden |
| author_facet | Byron L. Walden |
| author_sort | Byron L. Walden |
| collection | DOAJ |
| description | We examine some new results on Kaprekar's constants, specifically establishing the unique 7-digit (in base 4) and 9-digit (in base 5) Kaprekar's constants and showing that there are no 15-, 21-, 27-, or 33-digit Kaprekar's constants. |
| format | Article |
| id | doaj-art-35e569f1ed9c43e191362f24ed97a567 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-35e569f1ed9c43e191362f24ed97a5672025-02-03T07:25:53ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005182999300410.1155/IJMMS.2005.2999Searching for Kaprekar's constants: algorithms and resultsByron L. Walden0Department of Mathematics and Computer Science, Santa Clara University, Santa Clara 95053-0290, CA, USAWe examine some new results on Kaprekar's constants, specifically establishing the unique 7-digit (in base 4) and 9-digit (in base 5) Kaprekar's constants and showing that there are no 15-, 21-, 27-, or 33-digit Kaprekar's constants.http://dx.doi.org/10.1155/IJMMS.2005.2999 |
| spellingShingle | Byron L. Walden Searching for Kaprekar's constants: algorithms and results International Journal of Mathematics and Mathematical Sciences |
| title | Searching for Kaprekar's constants: algorithms and results |
| title_full | Searching for Kaprekar's constants: algorithms and results |
| title_fullStr | Searching for Kaprekar's constants: algorithms and results |
| title_full_unstemmed | Searching for Kaprekar's constants: algorithms and results |
| title_short | Searching for Kaprekar's constants: algorithms and results |
| title_sort | searching for kaprekar s constants algorithms and results |
| url | http://dx.doi.org/10.1155/IJMMS.2005.2999 |
| work_keys_str_mv | AT byronlwalden searchingforkaprekarsconstantsalgorithmsandresults |