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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: A (bad?) guess | Comment 7 of 10 |
(In reply to A (bad?) guess by armando)

No it was a bad title. (Sorry.)  There are 7 squares.  I don't know why Charlie's program didn't find it.
Each of W<X<Y<Z are positive integers and
W+X
W+Y
W+Z
X+Y
X+Z
Y+Z
W+X+Y+Z
are all squares

  Posted by Jer on 2016-07-01 11:11:57

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