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From: kp@smu.UUCP
Newsgroups: net.math
Subject: Interesting Numbers(Solution) - (nf)
Message-ID: <14100006@smu.UUCP>
Date: Sun, 6-May-84 19:26:00 EDT
Article-I.D.: smu.14100006
Posted: Sun May  6 19:26:00 1984
Date-Received: Wed, 9-May-84 01:44:44 EDT
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Nf-ID: #N:smu:14100006:000:980
Nf-From: smu!kp    May  6 18:26:00 1984

#N:smu:14100006:000:980
smu!kp    May  6 18:26:00 1984


         Here is my solution regarding interesting numbers:

      17 = 2^3 + 3^2
     100 = 2^6 + 6^2
     127 = (1+2+7)12+7
    1729 = .... Ramanujan's solution to Hardy's Taxi-Cab number:

              - 1729 is the smallest number expressible as the sum of two cubes
                in two different ways.( see Gordon's note)
-----------------------------------------------------------------------------
   The proof by contradiction actually results in a paradox, i.e., 
the least uninteresting number becomes interesting. EVENTUALLY the initial
non-empty unintersting set becomes empty at the end of proof!
  This clearly shows that the notion of "BEING INTERESTING" is finitely
undescribable and may be this vagueness and infiniteness of the word
INTERESTING in fact makes all numbers interesting.

                            Thanks for INTERESTING responses!
                                        -KP-
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