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...
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| Main Authors: | , |
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| Format: | text |
| Language: | English |
| Published: |
Animo Repository
2009
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| Subjects: | |
| Online Access: | https://animorepository.dlsu.edu.ph/etd_bachelors/17489 |
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| Institution: | De La Salle University |
| Language: | English |
| 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. |
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