For any integer p, *p is equal to the product of all the integers between 1 and p, inclusive. How many prime numbers are there between *6 + 3 and *6 + 6, inclusive?  Choose the correct choice from the following answers:
A) One
B) None
C) Two
D) Three
E) Four
Generally *p or p! will be divisible by ALL numbers from 1 to p. Therefore, *6 would be divisible by all numbers from 1 to 6.   =&gt; *6+3 would give me a number which is a multiple of 3 and therefore divisible (since *6 is divisible by 3)   In fact adding anyprimenumber between 1 to 6 to *6 will definitely be divisible.   So the answer is none (A)!   Supposing if the question had asked for prime numbers between *6 + 3 and *6 + 11 then the answer would be 1. For *6 +3 and *6+ 13, it is 2 and so on...   None
<result>B</result>
For any integer p, *p is equal to the product of all the integers between 1 and p, inclusive. How many prime numbers are there between *6 + 3 and *6 + 6, inclusive?