On amicable and sociable numbers

Author:
Henri Cohen

Journal:
Math. Comp. **24** (1970), 423-429

MSC:
Primary 10.03

DOI:
https://doi.org/10.1090/S0025-5718-1970-0271004-6

MathSciNet review:
0271004

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Abstract | References | Similar Articles | Additional Information

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

Keywords:
Amicable numbers,
sociable numbers,
aliquot series

Article copyright:
© Copyright 1970
American Mathematical Society