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Subtle Summed Squares (Posted on 2007-05-18) Difficulty: 3 of 5
Suppose a number N can be written as P times Q times R times..., where all of P, Q, R... can each be written as the sum of two perfect nonzero squares.

Show that in this case N itself can also be written as the sum of two perfect squares.

See The Solution Submitted by Old Original Oskar!    
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Some Thoughts re(2): Not so fast! | Comment 5 of 6 |
(In reply to re: Not so fast! by Jer)

And in fact it's a totally unneccessary condition, for if P, Q, R, and so on, are squares themselves (thus being zero squared plus itself) the formulas work out the same.
  Posted by Federico Kereki on 2007-05-21 22:15:49

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