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Square challenge (Posted on 2004-01-20) Difficulty: 2 of 5
Find the smallest number that can be expressed as the sum of two (nonzero) perfect squares in two different ways.
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And what if the two perfect squares must be nonzero, positive, and different?

See The Solution Submitted by SilverKnight    
Rating: 2.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): A hardy perennial | Comment 6 of 16 |
(In reply to re: A hardy perennial by Richard)

Thank you.

50 = 5^2 + 5^2 = 1^2 + 7^2
65 = 8^2 + 1^2 = 7^2 + 4^2

(1729=1^3+12^3=9^3+10^3).

To solve puzzles like this, there are three choices:
(1) Be a genius and solve it by intuition, like Ramanujan.
(2) Find the answer on the internet
(3) Write a program
Edited on January 20, 2004, 3:26 pm
  Posted by Penny on 2004-01-20 15:24:28

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