From: utzoo!decvax!harpo!floyd!rjs
Newsgroups: net.math
Title: Re: Yet another thought
Article-I.D.: floyd.385
Posted: Fri Jul 23 08:39:19 1982
Received: Mon Jul 26 00:12:53 1982
References: mcnc.1261

The question was:

	What numbers, in what ever base, describe their number of
	digits?

Consider an n digit number in base b.  Its minimum value is b**(n-1).
For normal bases, b is an integer >= 2.  First note that b**(n-1) grows
much faster than n once n >= 2 and that b**(2-1)=b.  Thus the only
possible integer values for n are 1 and 2.  2 only works if b=2.
1 always works.

Robert Snyder		(harpo!floyd!rjs)

p.s. I'm not sure what numbers look like in bases other than integers
>= 2 (or if there is such a thing) so that's as far as I can pursue
this problem.