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Two SPECIAL PARTITIONS (Posted on 2017-10-28) Difficulty: 3 of 5
Find a number N that can be presented in 2 distinct ways
as a sum of 3 squares, say N= a12+b12+c12=a22+b22+c22
while a1+b1+c1=a2+b2+c2

No Solution Yet Submitted by Ady TZIDON    
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No Subject | Comment 1 of 4
Taking (a,b,c) to mean the sum of the squares of a,b,c

129 = (1,8,8) = (2,5,10)

At a guess, there's a solution with all squares distinct.

  Posted by xdog on 2017-10-28 09:59:48
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