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: Ramos, Ethel Teesha, Ong, Marian Clare
格式: text
語言:English
出版: Animo Repository 2010
在線閱讀:https://animorepository.dlsu.edu.ph/etd_bachelors/10900
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機構: De La Salle University
語言: English
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總結: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.