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Discounting one (Posted on 2018-01-10) Difficulty: 3 of 5
Any three of the integers {1, X, Y, Z} add up to a perfect square.

What are X, Y, & Z?

Hint: each is below 100.

No Solution Yet Submitted by Ady TZIDON    
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re: if you allow negatives | Comment 7 of 9 |
(In reply to if you allow negatives by xdog)

If you allow negatives and zero, the following become available, while limiting the numbers to those whose absolute values are less than or equal to 100:


 1-68 76 92
 1-56 56 64
 1-50 49 50
 1-31 34 46
 1-23 22 26
 1-20 20 100
 1-18 18 81
 1-18 33 66
 1-16 16 64
 1-16 40 40
 1-14 14 49
 1-12 12 36
 1-10 10 25
 1-8 8 16
 1-6 6 9
 1-4 4 4
 1-2 1 2
 1 0 0 0
 1 1 14 34
 1 12 12 12
 1 22 41 58
 1 24 24 96

  Posted by Charlie on 2018-01-10 20:32:41
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