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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Corrigendum to: ``What drives an aliquot sequence?'' [Math. Comp. 29 (1975), 101-107; MR 52 #5542]


Authors: Richard K. Guy and J. L. Selfridge
Journal: Math. Comp. 34 (1980), 319-321
MSC: Primary 10A20; Secondary 10L10
Original Article: Math. Comp. 29 (1975), 101-107.
MathSciNet review: 551309
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Abstract: An aliquot sequence $ n:k$, $ k = 0,1,2, \ldots $, is defined by $ n:0 = n,$, $ n:k + 1 = \sigma (n:k) - n:k$, and a driver of an aliquot sequence is a number $ {2^A}\upsilon $ with $ A > 0$, $ \upsilon $ odd, $ \upsilon \vert{2^{A + 1}} - 1$ and $ {2^{A - 1}}\vert\sigma (\upsilon )$. Pollard has noted some errors in a proof in [1] that the drivers comprise the even perfect numbers and a finite set. These are now corrected in a revised proof.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1980-0551309-8
PII: S 0025-5718(1980)0551309-8
Article copyright: © Copyright 1980 American Mathematical Society