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 following must be a prime number?
g(11) + 2; g(11) + 3; g(11) + 4; and g(11) + 5	Choose the correct choice from the following choices.
A) 1	B) 2	C) 3	D) 4	E) none
g(11) is the product of all integers from 1 to 11, so g(11) = 11!   Thus g(11) is a multiple of all the integers from 1 to 11.   Then g(11) is a multiple of 2, 3, 4, and 5.   2 divides g(11)+2   3 divides g(11)+3   4 divides g(11)+4   5 divides g(11)+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 following must be a prime number?
g(11) + 2; g(11) + 3; g(11) + 4; and g(11) + 5