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

 

Amicable numbers and their distribution


Authors: Paul Bratley, Fred Lunnon and John McKay
Journal: Math. Comp. 24 (1970), 431-432
MSC: Primary 10.03
MathSciNet review: 0271005
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Abstract: All the amicable pairs whose smaller member is less than $ {10^8}$ are now known. Using this data a conjecture is made about the distribution of amicable pairs. A result on "crowds" (sociable numbers of order 3) is also given.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1970-0271005-8
PII: S 0025-5718(1970)0271005-8
Keywords: Amicable numbers, sociable numbers, aliquot series
Article copyright: © Copyright 1970 American Mathematical Society