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 7*+2 and 7*+7, exclusive ?	Choose the correct choice
A) 5	B) 1	C) None of the above	D) 3	E) 4
Given that n* denotes the product of all the integers from 1 to n, exclusive so, 7* + 3 = 7! + 3 and 7* + 6 = 7! + 6.   Now, notice that we can factor out 3 our of 7! + 3 so it cannot be a prime number, we can factor out 4 our of 7! + 4 so it cannot be a prime number, ... The same way for all numbers between 7! + 3 and 7! +6, inclusive. Which means that there are no primes in this range.   Answer: None of the above
<result>C</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 7*+2 and 7*+7, exclusive ?