if 1+1/2+1/3+1/4+1/5+.........1/16 = a/b

What is the smallest prime divisor of a?

Hi,

Take the COMMON DENOMIANTOR as a multiplication of all the denominators. ie. common denominator will be 16.15.14......3.2.1 = 16!

Now we have to EVALUATE EACH NUMBERATOR. Each numberator we are going to write in terms of 16!.

For ex. 1 can be written as 16!/1 , Second numberator will be 16!/2 and so on.. last will be 16!/16.

When we see this clearly each numberator term is divisible by 2.