Question 1135584: Integers that can be expressed as the sum of three squares in three different ways?
Answer by MathLover1(20849)   (Show Source):
You can put this solution on YOUR website!
the sum of squares  procedure finds all , , such that 
It works by repeatedly invoking sum of squares on  where  is incremented after each iteration from  to square root of 
Do you want *exactly*  ways, or *at least* ways?
Assuming order isn't considered, and assuming you want it  in  ways, here are a few numbers:
 ,  ,  , ,  ,  , ,  ,  ,  ,  ,  , ,  ,  ,  ,  , ,  ,  ,  ,  ,  ,  ,  ,  ,  ,  ,  , ...
Example:
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