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Mathematics of Computation

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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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Keywords: Amicable numbers, sociable numbers, aliquot cycles
Article copyright: © Copyright 1993 American Mathematical Society

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