On smith and dunckley numbers
This thesis is an exposition of the article On Smith and Dunckley Numbers by Alfred Vella and Dominic Vella. Smith numbers are numbers that have the property that its digit sum is equal to the digit sum of its prime factorization. On the other hand, a Dunckley number is the cardinality of the Dunckl...
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| Main Authors: | , |
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| Format: | text |
| Language: | English |
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Animo Repository
2010
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| Online Access: | https://animorepository.dlsu.edu.ph/etd_bachelors/10900 |
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| Institution: | De La Salle University |
| Language: | English |
| Summary: | This thesis is an exposition of the article On Smith and Dunckley Numbers by Alfred Vella and Dominic Vella. Smith numbers are numbers that have the property that its digit sum is equal to the digit sum of its prime factorization. On the other hand, a Dunckley number is the cardinality of the Dunckley set where the Dunckley set is the set of bases in which a number is Smith. The concept of Smith numbers will be extended to bases other than 10. Different methods of constructing Smith numbers will be discussed. In addition, it will provide information on what a Dunckley number is and the advantage of being Dunckley numbers over Smith numbers. |
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