A function g(n), where n is an integer, is defined as the product of all integers from 1 to n. How many of the followings must be a prime number?
g(12) + 2; g(12) + 3; g(12) + 4; and g(12) + 5?	Select:	A) 1	B) 2	C) 3	D) 4	E) none
g(12) is the product of all integers from 1 to 12, so g(12) = 12!   Thus g(12) is a multiple of all the integers from 1 to 12.   Then g(12) is a multiple of 2, 3, 4, and 5.   2 divides g(12)+2   3 divides g(12)+3   4 divides g(12)+4   5 divides g(12)+5   The answer is none.
<result>E</result>
A function g(n), where n is an integer, is defined as the product of all integers from 1 to n. How many of the followings must be a prime number?
g(12) + 2; g(12) + 3; g(12) + 4; and g(12) + 5?