1. What is the smallest positive prime factor of the integer $2005^{2007}+2007^{20015}$ ?
(A) 5
(B) 7
(C) 2
(D) 11
(E) 3
1. Ans: C
Since 2005 and 2007 are odd numbers, so are $2005^{2007}$ and $2007^{2005}$. Thus, $2005^{2007}+$ $2007^{2005}$ is even, and it is divisible by the smallest prime number 2 .