Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 

 

What drives an aliquot sequence?


Authors: Richard K. Guy and J. L. Selfridge
Journal: Math. Comp. 29 (1975), 101-107
MSC: Primary 10A20; Secondary 10A40
Corrigendum: Math. Comp. 34 (1980), 319-321.
MathSciNet review: 0384669
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Abstract | References | Similar Articles | Additional Information

Abstract: The concept of the "driver" of an aliquot sequence is discussed. It is shown that no driver can be expected to persist indefinitely. A definition of driver is given which leads to just 5 drivers apart from the even perfect numbers.


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

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  • [2] Henri Cohen, On amicable and sociable numbers, Math. Comp. 24 (1970), 423–429. MR 0271004, 10.1090/S0025-5718-1970-0271004-6
  • [3] L. E. DICKSON, "Theorems and tables on the sums of divisors of a number," Quart. J. Math., v. 44, 1913, pp. 264-296.
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  • [6] RICHARD K. GUY & J. L. SELFRIDGE, Combined Report on Aliquot Sequences, University of Calgary Math. Research Report No. 225, May 1974.
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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1975-0384669-X
Keywords: Aliquot sequence, guide, driver, perfect number, amicable pair, Poulet cycle, Catalan-Dickson conjecture
Article copyright: © Copyright 1975 American Mathematical Society