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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
DOI: https://doi.org/10.1090/S0025-5718-1975-0384669-X
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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  • [4] RICHARD K. GUY & J. L. SELFRIDGE, "Interim report on aliquot series," Proc. Manitoba Conf. Numerical Math., Winnipeg, 1971, pp. 557-580. MR 0335412 (49:194)
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Additional Information

DOI: https://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

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