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Mathematics of Computation

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A search for aliquot cycles below $ 10\sp {10}$

Authors: David Moews and Paul C. Moews
Journal: Math. Comp. 57 (1991), 849-855
MSC: Primary 11Y55; Secondary 11B83
MathSciNet review: 1094955
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Abstract: A search for aliquot k-cycles below $ {10^{10}}$ with $ k \geq 3$ is described. Two new 4-cycles are exhibited. Six new 4-cycles not below $ {10^{10}}$ are also exhibited.

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Keywords: Amicable numbers, sociable numbers, aliquot cycles
Article copyright: © Copyright 1991 American Mathematical Society

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