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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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Keywords: Amicable numbers, sociable numbers, aliquot series
Article copyright: © Copyright 1970 American Mathematical Society