Searching for odd perfect numbers
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...
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oai:animorepository.dlsu.edu.ph:etd_masteral-102182022-03-31T01:29:02Z Searching for odd perfect numbers Cruz, Christopher Thomas R. 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. 2006-01-01T08:00:00Z text application/pdf https://animorepository.dlsu.edu.ph/etd_masteral/3380 https://animorepository.dlsu.edu.ph/context/etd_masteral/article/10218/viewcontent/CDTG004056_P.pdf Master's Theses English Animo Repository Perfect numbers Number theory Mathematics |
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De La Salle University |
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De La Salle University Library |
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Asia |
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Philippines Philippines |
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De La Salle University Library |
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DLSU Institutional Repository |
| language |
English |
| topic |
Perfect numbers Number theory Mathematics |
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Perfect numbers Number theory Mathematics Cruz, Christopher Thomas R. Searching for odd perfect numbers |
| description |
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. |
| format |
text |
| author |
Cruz, Christopher Thomas R. |
| author_facet |
Cruz, Christopher Thomas R. |
| author_sort |
Cruz, Christopher Thomas R. |
| title |
Searching for odd perfect numbers |
| title_short |
Searching for odd perfect numbers |
| title_full |
Searching for odd perfect numbers |
| title_fullStr |
Searching for odd perfect numbers |
| title_full_unstemmed |
Searching for odd perfect numbers |
| title_sort |
searching for odd perfect numbers |
| publisher |
Animo Repository |
| publishDate |
2006 |
| url |
https://animorepository.dlsu.edu.ph/etd_masteral/3380 https://animorepository.dlsu.edu.ph/context/etd_masteral/article/10218/viewcontent/CDTG004056_P.pdf |
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