Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.2 9/12/84; site aero.ARPA Path: utzoo!watmath!clyde!burl!ulysses!mhuxr!mhuxt!houxm!vax135!cornell!uw-beaver!tektronix!hplabs!sdcrdcf!trwrb!trwrba!aero!sinclair From: sinclair@aero.ARPA (William S. Sinclair) Newsgroups: net.math Subject: A number theory problem Message-ID: <388@aero.ARPA> Date: Thu, 22-Aug-85 14:14:35 EDT Article-I.D.: aero.388 Posted: Thu Aug 22 14:14:35 1985 Date-Received: Sun, 25-Aug-85 13:46:30 EDT Reply-To: sinclair@aero.UUCP (William S. Sinclair) Organization: The Aerospace Corp., El Segundo, CA Lines: 12 Most of you have probably heard the story of Ramanujan, who was riding in the cab with a friend. They were discussing his room number 1729, when his friend remarked that it was an uninteresting number. "Oh no" Ramanujan replied. "it is the smallest number that can be written as the sum of two cubes in two different ways". My question is, what is the smallest number that can be written as the sum of two cubes in THREE different ways? Does one exist? Bill Sinclair (asbestos Willie)