Question

The smallest prime number that divides the sum $(7^{11}+{11}^{13})$ is

• A. 2
• B. 3
• C. 5
• D. 7

Answer 1

The correct option is A 2

Unit digit of $7^{11}$ is 1
Unit digit of ${11}^{13}$is 1
Addition of unit digit is 2
Hence smallest prime number that divide the sum of $(7^{11}+{11}^{13})$ is 2