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 *8 + 3 and *8 + 8, inclusive? Choose the correct choice from the following.
A) None
B) One
C) Two
D) Three
E) Four
Generally *p or p! will be divisible by ALL numbers from 1 to p. Therefore, *8 would be divisible by all numbers from 1 to 8.   =&gt; *8+3 would give me a number which is a multiple of 3 and therefore divisible (since *8 is divisible by 3)   In fact adding anyprimenumber between 1 to 8 to *8 will definitely be divisible.   So the answer is none (A)!   Supposing if the question had asked for prime numbers between *8 + 3 and *8 + 11 then the answer would be 1. For *8+3 and *8 + 13, it is 2 and so on...   None
<result>A</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 *8 + 3 and *8 + 8, inclusive?