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

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.