Question

Find the smallest prime number dividing the sum of 3 power 11 + 5 power 13

Answer 1

the answer is 2

here's how

3¹¹ will be guaranteed an odd number

and 5¹³ will also be guaranteed an odd number

and we know that the sum of two odd numbers is an even number and every even number is divisible by 2 which is a prime number and smallest also

so ans. is 2 hope it helps