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 Cubic AND Quartic Challenge (Posted on 2004-02-06)
What is the smallest positive integer that is the sum of two different pairs of (non-zero, positive) cubes?
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What is the smallest positive integer that is the sum of two different pairs of integers raised to the 4th power? and how did you find it?

In other words what is the smallest x such that:
x = a^4 + b^4 = c^4 + d^4
(where x, a, b, c, and d are all different, non-zero, positive integers)?
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Are you able to determine the answer without looking it up on the internet?

 See The Solution Submitted by SilverKnight Rating: 2.5000 (2 votes)

 Subject Author Date re(4): A way to do it.===> NO WAY, not quite Frank Riddle 2004-02-25 23:42:14 re(3): A way to do it.===> NO WAY, not quite Ady TZIDON 2004-02-25 04:20:09 re(2): A way to do it.===> NO WAY Frank Riddle 2004-02-24 21:33:04 re(2): Hardy's Story Richard 2004-02-09 12:58:27 re: Hardy's Story Penny 2004-02-09 01:27:22 re: A way to do it.===> NO WAY Ady TZIDON 2004-02-07 04:05:04 Hardy's Story Richard 2004-02-06 16:17:23 A way to do it. Gamer 2004-02-06 15:06:51 re: Question SilverKnight 2004-02-06 13:50:01 Question Penny 2004-02-06 13:40:27 re(2): LOL e.g. 2004-02-06 11:56:39 re: LOL SilverKnight 2004-02-06 10:42:59 LOL nikki 2004-02-06 10:05:48 solution Charlie 2004-02-06 09:30:25 Old problem e.g. 2004-02-06 08:51:39

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