求教一道数学素因数的题目

monoecy

For every positive ecen integer n, the function h(n) is defined to be the product of all the even integers from 2 to n, inclusive. If p is the smallest prime factor of h(100)+1, the p is
A betwwen 2 and 10
B between 10 and 20
C between 20 and 30
D between 30 and 40
E greater than 40

yaominghe

E 死记

17tomato

h(100)=(2*1)*(2*2)*(2*3)……(2*50)=2^50*(1*2*3……50)
h(100)有50以内的素数因子，h(100)+1就必须大于50了

更详细的解答请搜索论坛，我是看了搜索才会做的