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 *4 + 3 and *4 + 4, inclusive?  Choose the correct answer.
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, *4 would be divisible by all numbers from 1 to 4.   =&gt; *4+3 would give me a number which is a multiple of 3 and therefore divisible (since *4 is divisible by 3)   In fact adding anyprimenumber between 1 to 4 to *4 will definitely be divisible.   So the answer is none (A)!   Supposing if the question had asked for prime numbers between *4 + 3 and *4 + 11 then the answer would be 1. For *4 +3 and *4 + 13, it is 2 and so on...   None
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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 *4 + 3 and *4 + 4, inclusive?