On sequences of happy numbers
Date of Publication
2009
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Thesis Adviser
Leonor Aquino Ruivivar
Defense Panel Chair
Reyes, Jose Tristan F.
Defense Panel Member
Sonia Young Tan
Mark Anthony A. Garcia
Abstract/Summary
This study is an exposition of three articles that deal with properties of happy numbers, namely: "On Happy Numbers" by Esam El-Sedy and Samir Siksek, which appeared in the Rocky Mountain Journal of Mathematics, "Sequences of Generalized Happy Numbers with Small Bases" by H.G. Grundman and E.A. Teeple, which was published in the Journal of Integer Sequences, and "On Consecutive Happy Numbers", by Hao Pan, which appeared in the Journal of Number Theory. In particular, the problem of generating arbitrarily long consecutive sequences of happy numbers will be discussed. The concept of happy numbers will also be extended to bases other than ten and to powers of the digits other than two. A software that identifies happy and unhappy numbers and generates sequences of happy numbers was developed to facilitate the verification of properties of happy numbers.
Abstract Format
html
Language
English
Format
Accession Number
TU15123
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
1 v. (various foliations) : ill. (some col.)
Keywords
Number theory
Recommended Citation
Bacabac, K. E., & Ng, G. U. (2009). On sequences of happy numbers. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/17489
