BruceNornia

1. 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 -Between 2 and 10 -Between 10 and 20 -Between 20 and 30 -Between 30 and 40 -Greater than 40

 

h(100) + 1 = 2*4*6*8* ... *100 + 1 = (2^50) * 50! + 1

h(100) + 1 同余于1 模 1 到 50

所以其最小质因子一定比50大

 

The correct answer is E