TITLE: $x^2 + y^5 = 2015^{17}$
QUESTION [5 upvotes]: 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!

REPLY [8 votes]: Hint: try it mod $11$.........