Corrigendum to: “What drives an aliquot sequence?” [Math. Comp. 29 (1975), 101–107; MR 52 #5542]
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- by Richard K. Guy and J. L. Selfridge PDF
- Math. Comp. 34 (1980), 319-321 Request permission
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, $\upsilon |{2^{A + 1}} - 1$ and ${2^{A - 1}}|\sigma (\upsilon )$. 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.References
- Richard K. Guy and J. L. Selfridge, What drives an aliquot sequence?, Math. Comput. 29 (1975), 101–107. Collection of articles dedicated to Derrick Henry Lehmer on the occasion of his seventieth birthday. MR 0384669, DOI 10.1090/S0025-5718-1975-0384669-X
Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Math. Comp. 34 (1980), 319-321
- MSC: Primary 10A20; Secondary 10L10
- DOI: https://doi.org/10.1090/S0025-5718-1980-0551309-8
- MathSciNet review: 551309