Problem: What is the smallest prime number dividing the sum 311+513?3^{11}+5^{13}?311+513?
Answer Choices:
A. 222
B. 333
C. 555
D. 311+5133^{11}+5^{13}311+513
E. none of these Solution:
Since 3113^{11}311 and 5135^{13}513 are both odd their sum must be even.