On smith and dunckley numbers

Date of Publication

2010

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Mathematics with specialization in Business Applications

College

College of Science

Department/Unit

Mathematics and Statistics

Thesis Adviser

Christopher Thomas Cruz

Defense Panel Chair

Anita C. Ong

Defense Panel Member

Edmundo R. Perez, Jr.
Francis Joseph H. Campena

Abstract/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.

Abstract Format

html

Language

English

Format

Print

Accession Number

TU16006

Shelf Location

Archives, The Learning Commons, 12F, Henry Sy Sr. Hall

Physical Description

iv, 87, [3] leaves ; 28 cm.

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