Question

Find the smallest prime number dividing the sum $7^{11}+{11}^{13}$.

• A. 2
• B. 3
• C. 5
• D. 7

Answer 1

The correct option is A 2

The product of odd numbers is odd.
The sum of two odd numbers is even.

$7^{11}$ and ${11}^{13}$ are both the product of odd numbers, so they are both odd.

$7^{11}+{11}^{13}$ is the sum of two odd numbers and is therefore even. Any even number is divisible by 2.