On sequences of happy numbers

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. Gr...

Full description

Saved in:
Bibliographic Details
Main Authors: Bacabac, Kyra Mae E., Ng, Grant Reginald U.
Format: text
Language:English
Published: Animo Repository 2009
Subjects:
Online Access:https://animorepository.dlsu.edu.ph/etd_bachelors/17489
Tags: Add Tag
No Tags, Be the first to tag this record!
Institution: De La Salle University
Language: English
id oai:animorepository.dlsu.edu.ph:etd_bachelors-18002
record_format eprints
spelling oai:animorepository.dlsu.edu.ph:etd_bachelors-180022022-02-07T02:27:57Z On sequences of happy numbers Bacabac, Kyra Mae E. Ng, Grant Reginald U. 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. 2009-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/etd_bachelors/17489 Bachelor's Theses English Animo Repository Number theory
institution De La Salle University
building De La Salle University Library
continent Asia
country Philippines
Philippines
content_provider De La Salle University Library
collection DLSU Institutional Repository
language English
topic Number theory
spellingShingle Number theory
Bacabac, Kyra Mae E.
Ng, Grant Reginald U.
On sequences of happy numbers
description 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.
format text
author Bacabac, Kyra Mae E.
Ng, Grant Reginald U.
author_facet Bacabac, Kyra Mae E.
Ng, Grant Reginald U.
author_sort Bacabac, Kyra Mae E.
title On sequences of happy numbers
title_short On sequences of happy numbers
title_full On sequences of happy numbers
title_fullStr On sequences of happy numbers
title_full_unstemmed On sequences of happy numbers
title_sort on sequences of happy numbers
publisher Animo Repository
publishDate 2009
url https://animorepository.dlsu.edu.ph/etd_bachelors/17489
_version_ 1772835186376966144