AntiPythagorean equation
Public  08/14/15  8xp  Math  33.3% 
We have $$ 1040^{2} + 4095^{2} = 1008^{2} $$
How many solutions are there to the "antipythagorean" 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]
How many solutions are there to the "antipythagorean" 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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