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

 

On amicable and sociable numbers


Author: Henri Cohen
Journal: Math. Comp. 24 (1970), 423-429
MSC: Primary 10.03
MathSciNet review: 0271004
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Abstract: An exhaustive search has yielded 236 amicable pairs of which the lesser number is smaller than $ {10^8}$, 57 pairs being new.

It has also yielded 9 new sociable groups of order 10 or less, of which the lesser number is smaller than $ {6.10^7}$; the 9 sociable groups are all of order 4.

The sequence of iterates of the function $ s(n) = \sigma (n) - n$ starting with 276 has also been extended to 119 terms.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1970-0271004-6
PII: S 0025-5718(1970)0271004-6
Keywords: Amicable numbers, sociable numbers, aliquot series
Article copyright: © Copyright 1970 American Mathematical Society