Problem #261

Anti-Pythagorean equation
Public 08/14/15 8xp Math 33.3%

We have $$ 1040^{-2} + 4095^{-2} = 1008^{-2} $$
How many solutions are there to the "anti-pythagorean" equation $ x^{-2} + y^{-2} = z^{-2} $ with $ x,y,z \textrm{ coprime and }x \le y \textrm{ and } x \le 10^{12} ?$

Answer format: $ count,\sum{z} $

[My timing: 9 sec]



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