Gachimu, Richard Kariuki (2015) Relationship between Prime Factors of a Number and its Ategorization as Either Friendly or Solitary. Masters thesis, Jomo Kenyatta University.
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PDF (Relationship between Prime Factors of a Number and Its Categorization as either Friendly or Solitary)
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Abstract
Two distinct positive integers are friendly if they have the same abundancy index. Numbers that are not friendly are said to be solitary. The class of numbers of the form n = 2p for primes p >3 consists of numbers whose categorization as either friendly or solitary is not known. The numbers 26 and 38 belong to this class. The study of friendly and solitary numbers is important in the sense that it aids in the identification of yet unknown prime numbers. Prime numbers are central in the practice of cryptography, and are of great importance in areas such as computer systems security and generation of pseudorandom numbers. In this thesis, properties of abundancy index function are systematically used to include or discriminate various prime numbers as possible factors of the potential friends of 26 and 38.
| Item Type: | Thesis (Masters) |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Africana |
| Depositing User: | Mr Nahum Osman |
| Date Deposited: | 18 Jul 2016 11:24 |
| Last Modified: | 18 Jul 2016 11:24 |
| URI: | http://thesisbank.jhia.ac.ke/id/eprint/739 |
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