求助一道prep中的数学题

lian2008

For every positive even 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，then p is...

A.between 2 and 10. B.between 10 and 20. C.between 20 and 30. D.between 30 and 40 E. greater than 40

biglin1987

h(100)+1=2×4×.......×100+1=2^50×（1×2×3......×50）+1

就是说h(100)+1除以50以内的数都会余1

选e

lian2008

以下是引用biglin1987在2009/9/27 16:45:00的发言：

h(100)+1=2×4×.......×100+1=2^50×（1×2×3......×50）+1

就是说h(100)+1除以50以内的数都会余1

选e

I C~Thx~