Date of Publication
2006
Document Type
Master's Thesis
Degree Name
Master of Science in Mathematics
Subject Categories
Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Thesis Adviser
Leonor A. Ruivivar
Abstract/Summary
An integer n is said to be perfect if (n) = 2n, where (n) denotes the sum of the positive divisors of n. There are no known odd perfect numbers yet. This paper presents some approaches in finding odd perfect numbers, and a proposed hypothesis that may lead to disprove their existence. Evaluating an odd perfect numbers upper bound and its total number of prime factors, denoted by (n), will provide key contributions to this hypothesis.
Abstract Format
html
Language
English
Format
Electronic
Accession Number
CDTG004056
Shelf Location
Archives, The Learning Commons, 12F Henry Sy Sr. Hall
Physical Description
1 computer optical disc ; 4 3/4 in.
Keywords
Perfect numbers; Number theory
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Recommended Citation
Cruz, C. R. (2006). Searching for odd perfect numbers. Retrieved from https://animorepository.dlsu.edu.ph/etd_masteral/3380
