the New Year will be 2017: how many pairs of integer solutions to $x^2 + y^2 = (2017)^3$? We're almost in 2017. I wonder how many pairs of integer solutions has the following diophantine equation:
$$x^2 + y^2 = (2017)^3$$
Thanks in advance.

For future reference, if you just enter

m^2 + n^2 = (2017)^3

into Mathematica (or WolframAlpha) then it returns all integer solutions:

