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Mathematics of Computation

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The reciprocal sum of the amicable numbers


Authors: Hanh My Nguyen and Carl Pomerance
Journal: Math. Comp.
MSC (2010): Primary 11A25, 11N25, 11N64
DOI: https://doi.org/10.1090/mcom/3362
Published electronically: April 10, 2018
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Abstract: In this paper, we improve on several earlier attempts to show that the reciprocal sum of the amicable numbers is small, showing this sum is $ <215$.


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Additional Information

Hanh My Nguyen
Affiliation: Applied Predictive Technologies, Inc., 4250 N Fairfax Dr., 11th Floor, Arlington, Virginia 22203
Email: hanhmn91@gmail.com

Carl Pomerance
Affiliation: Mathematics Department, Dartmouth College, Hanover, New Hampshrie 03755
Email: carl.pomerance@dartmouth.edu

DOI: https://doi.org/10.1090/mcom/3362
Received by editor(s): August 12, 2017
Received by editor(s) in revised form: August 14, 2017, and January 30, 2018
Published electronically: April 10, 2018
Article copyright: © Copyright 2018 American Mathematical Society

American Mathematical Society