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From: southard@unc.UUCP (Scott Southard)
Newsgroups: net.math
Subject: Need proof for density problem
Message-ID: <58@unc.unc.UUCP>
Date: Mon, 23-Sep-85 00:17:14 EDT
Article-I.D.: unc.58
Posted: Mon Sep 23 00:17:14 1985
Date-Received: Tue, 24-Sep-85 03:17:46 EDT
Reply-To: southard@unc.UUCP (Scott Southard)
Organization: CS Dept, U. of N. Carolina, Chapel Hill
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I have come across a problem that I would love to learn the solution to...
if anyone can help me I would appreciate it.

Is the set of numbers of the form 2^m * 3^n (that's 2 to the m power times
3 to the n power) where m and n are integers, dense in the positive
rational numbers?

The set of rationals is dense in the real numbers, for example, since between
every two distinct real numbers a rational number may be found.  The question
is, can a number of the form 2^m * 3^n be found between every two positive
rational numbers?

   Scott Southard