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Amicable numbers and their distribution


Authors: Paul Bratley, Fred Lunnon and John McKay
Journal: Math. Comp. 24 (1970), 431-432
MSC: Primary 10.03
DOI: https://doi.org/10.1090/S0025-5718-1970-0271005-8
MathSciNet review: 0271005
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Abstract | References | Similar Articles | Additional Information

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.


References [Enhancements On Off] (What's this?)

  • [1] Henri Cohen, "On amicable and sociable numbers," Math. Comp., v. 24, 1970, pp. 423-429. MR 0271004 (42:5887)
  • [2] Elvin J. Lee, "A note on the distribution of amicable pairs". (Unpublished.)
  • [3] Paul Erdös, "On amicable numbers," Publ. Math. Debrecen, v. 4, 1955, pp. 108-111. MR 16, 998. MR 0069198 (16:998h)

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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1970-0271005-8
Keywords: Amicable numbers, sociable numbers, aliquot series
Article copyright: © Copyright 1970 American Mathematical Society

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