Question Statement :

Consider the following statements:

Statement A: Prime numbers are numbers with exactly two factors: 1 and the number itself.

Statement B: Every prime number can be represented as $6n+1$ or $6n+5$, where n is a whole number.

Statement C: If there are no divisors of p between 1 and $\sqrt{p}$ , excluding 1 and including $\sqrt{p}$, then p is a prime number.

Which of the above three statements are correct?