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Cubic AND Quartic Challenge (Posted on 2004-02-06) Difficulty: 4 of 5
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)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(4): A way to do it.===> NO WAY, not quite Comment 15 of 15 |
(In reply to re(3): A way to do it.===> NO WAY, not quite by Ady TZIDON)

ady,

hehe, okay, so I missed the "root". But, your original message seemed to pooh pooh Gamer's reply, and you even commented that you couldn't tell what he meant because of the errors! So, do you get it or not?

FR


  Posted by Frank Riddle on 2004-02-25 23:42:14
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