Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.2 9/18/84; site unc.unc.UUCP Path: utzoo!watmath!clyde!bonnie!akgua!mcnc!unc!southard 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 Lines: 14 Expires: References: Sender: Keywords: 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 Brought to you by Super Global Mega Corp .com