For every positive integer n, the function H(n) is defined to be the product of all even integers from 2 to n, inclusive. If p is the smallest prime factor of H(100)+1, then p is:
A) between 2 and 10
b) b/n 10 and 20
C) b/n 20 and 30
D) b/n 30 and 40
E) p is greater than 40
Ans: E
Can you please explain the reasoning behind the answer choice?
Thanks!