perplexus.info :: Numbers : Two SPECIAL PARTITIONS

Two SPECIAL PARTITIONS (Posted on 2017-10-28)

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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| 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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