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*+4 and 7*+7, inclusive ? Pick
A) 1  B) 0  C) 2  D) 3  E) 4
Given that n* denotes the product of all the integers from 1 to n, inclusive so, 7* + 4 = 7! + 4 and 7* + 7 = 7! + 7.   Now, notice that , we can factor out 4 our of 7! + 4 so it cannot be a prime number, ... The same way for all numbers between 7! + 4 and 7! +7, inclusive. Which means that there are no primes in this range.   Answer: 0
<result>B</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*+4 and 7*+7, inclusive ?