Question 24
Determine all positive integers $x,y,z$ such that
$$x^5+4^y=2013^z.$$
Problem (Romanian source version):
Determine all nonzero natural numbers $x,y,z$ such that
$$x^5+4^y=2013^z.$$
$$x^5+4^y=2013^z.$$
Problem (Romanian source version):
Determine all nonzero natural numbers $x,y,z$ such that
$$x^5+4^y=2013^z.$$