Prime Number Problem 21

Model Answer

A prime number (>3) can only be of the forms 6k+1 or 6k+5. Let n=6k+1 But then n+2=6k+3, a composite number divisible by 3 Let n=6k+5 But then n+4=6k+9, a composite number divisible by 3 Thus, the given statement is false.