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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



Multiamicable numbers

Authors: Graeme L. Cohen, Stephen F. Gretton and Peter Hagis
Journal: Math. Comp. 64 (1995), 1743-1753
MSC: Primary 11A25
MathSciNet review: 1308449
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Abstract: Multiamicable numbers are a natural generalization of amicable numbers: two numbers form a multiamicable pair if the sum of the proper divisors of each is a multiple of the other. Many other generalizations have been considered in the past. This paper reviews those earlier generalizations and gives examples and properties of multiamicable pairs. It includes a proof that the set of all multiamicable numbers has density 0.

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Article copyright: © Copyright 1995 American Mathematical Society