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N. J. A. Sloane njas at
Fri Nov 20 22:56:41 CET 1998

 From conway at math.Princeton.EDU  Fri Nov 20 16:49:08 1998
Return-Path: <conway at math.Princeton.EDU>
Date: Fri, 20 Nov 1998 16:48:08 -0500 (EST)
From: John Conway <conway at math.Princeton.EDU>
To: "N. J. A. Sloane" <njas at>
cc: math-fun at optima.CS.Arizona.EDU, eww6n at,
        njas at
Subject: Re: kakmem 56
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Status: R

On Fri, 20 Nov 1998, N. J. A. Sloane wrote in response to a posting
abouth "lengths":
> The second column is clear:  the greatest mutiplicative
> persistence of any n-digit number (e.g. 0, 77, 679
> have m.p. 0, 4, 5)
> (The persistence of a number is the number of times you need 
> to multiply the digits together before reaching a single digit. 
> E.g. 39->27->14->4 has persistence 3.)

    ... but the table shows some numbers of length 12, whereas
I thought you'd found the maximal possible persistence to be
(almost certainly) 11?

      John Conway


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