For an integer n greater than 1, n* denotes the product of all the integers from 1 to n inclusive. How many prime numbers are there between 6*+3 and 6*+6, inclusive ?  Pick:
A) 0
B) 1
C) 2
D) 3
E) 4
Given that n* denotes the product of all the integers from 1 to n, inclusive so, 6* + 3 = 6! + 3 and 6* + 6 = 6! + 6.   Now, notice that we can factor out 3 our of 6! + 3 so it cannot be a prime number, we can factor out 4 our of 6! + 4 so it cannot be a prime number, ... The same way for all numbers between 6! + 3 and 6! +6, inclusive. Which means that there are no primes in this range.   0nswer: 0.
<result>A</result>
For an integer n greater than 1, n* denotes the product of all the integers from 1 to n inclusive. How many prime numbers are there between 6*+3 and 6*+6, inclusive ?