Question

find the smallest prime number the sum 3oower 11 +5 power​

Answer 1

Answer:

-> Any product of odd numbers is always odd.

-> The sum of two odd numbers is always even.

-> Since, 3`11 and 5`13 are both the product of odd numbers, so they are both odd

-> So 3`11 + 5`13 is the sum of two odd numbers and is therefore even.

-> Any even number is divisible by 2. Therefore 2 is the smallest prime that divides 3`11 + 5`13

-> Also,  3`11 + 5`13 = 1220880272

∴ The smallest prime number dividing the sum 3¹¹ + 5¹³ is 2.