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Mathematics of Computation
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: 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.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1975-0384669-X
PII: S 0025-5718(1975)0384669-X
Keywords: Aliquot sequence, guide, driver, perfect number, amicable pair, Poulet cycle, Catalan-Dickson conjecture
Article copyright: © Copyright 1975 American Mathematical Society