Jose Arnaldo B. Dris
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 23, 2017, Number 2, Pages 12—20
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Authors and affiliations
Jose Arnaldo B. Dris
Department of Mathematics and Physics,
Far Eastern University
Nicanor Reyes Street, Sampaloc, Manila, Philippines
Abstract
The Descartes-Frenicle-Sorli conjecture predicts that k = 1 if qkn2 is an odd perfect number with Euler prime q. In this note, we present some conditions equivalent to this conjecture.
Keywords
- Odd perfect number
- Abundancy index
- Deficiency
AMS Classification
- 11A25
References
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Related papers
- Dris, J. A. B., & San Diego, I. T. (2020). Some modular considerations regarding odd perfect numbers – Part II. Notes on Number Theory and Discrete Mathematics, 26 (3), 8-24, doi: 10.7546/nntdm.2020.26.3.8-24.
- Dris, J. A. B. (2020). On the quantity I(qk) + I(n2) where qk n2 is an odd perfect number. Notes on Number Theory and Discrete Mathematics, 26 (3), 25-32, doi: 10.7546/nntdm.2020.26.3.25-32.
Cite this paper
Dris, J. A. B. (2017). Conditions equivalent to the Descartes–Frenicle–Sorli Conjecture on odd perfect numbers. Notes on Number Theory and Discrete Mathematics, 23(2), 12-20.