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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)