Question

Smallest prime number of 3^11 5^13

Answer 1

Answer:

Step-by-step explanation:

Any product of odd numbers is odd.

The sum of two odd numbers is even.

 

311 and 513 are both the product of odd numbers,  

so they are both odd

So 311 + 513 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 311 + 513.  [In fact, 2 is the

smallest prime, period!]  

[In fact 311 + 513 = 1220880272 = 24*47*107*15173, but we don't need that!)