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4 numbers make 5 squares (Posted on 2016-06-30) Difficulty: 3 of 5
Find four whole numbers such that:

each pairwise sum is a perfect square and
the sum of all four is a perfect square.

No Solution Yet Submitted by Jer    
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re: computer solution and discussion | Comment 2 of 10 |
(In reply to computer solution and discussion by Charlie)

Cool stuff.  Keep going.

There is at least one solution where each integer is different.
The smallest of them has three digits, the next two have four digits and the last has five.
  Posted by Jer on 2016-06-30 16:42:25

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