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.