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anqi97

 

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

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

aloman

选E.

两个consecutive positive integers之间的公约数只有1，根据这一点先计算h(100)的最大的prime factor, 可知为47。因此，h(100)+1最小的prime factor必然大于47。