$x^2 + y^5 = 2015^{17}$

Question

I've got stuck at this problem, I don't know how to approach it.

Prove that the equation doesn't have any integer solutions for $$x^2 + y^5 = 2015^{17}$$

I've thought about Fermat's little theorem but it didn't helped. Just a hint would be really appreciated. Thanks!

Answer 1

Hint: try it mod $11$.........