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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

A search for aliquot cycles and amicable pairs


Authors: David Moews and Paul C. Moews
Journal: Math. Comp. 61 (1993), 935-938
MSC: Primary 11Y70; Secondary 11A25, 11Y55
MathSciNet review: 1185249
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Abstract: A search for aliquot cycles below $ 3.6 \cdot {10^{10}}$ and amicable pairs below $ {10^{11}}$ is described. Three new cycles of length 4 and one new cycle of length 6 are exhibited. Four triples of amicable pairs with the same pair-sum are also exhibited.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1993-1185249-X
PII: S 0025-5718(1993)1185249-X
Keywords: Amicable numbers, sociable numbers, aliquot cycles
Article copyright: © Copyright 1993 American Mathematical Society