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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)

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Solution solution and bonus answer | Comment 15 of 16 |
The smallest number that can be expressed as the sum of two (non-zero) perfect squares in two different ways is
50:  12 + 72 and 52 + 52.

The smallest number that can be expressed as the sum of two different (non-zero) perfect squares in two different ways is
65:  12 + 82 and 42 + 72.

The smallest number that can be expressed as the sum of two (non-zero) perfect squares in three different ways is
425:  52 + 202, 82 + 192 and 132 + 162.

  Posted by Dej Mar on 2008-09-25 04:39:57
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