rove that the following statement is false. There exists an integer n such that 6n2 27 is prime. To prove the statement is false, prove the negation is true. Write the negation of the statement. For every integer n, 6n2 27 is not prime. For every integer n, 6n2 27 is prime. There exists an integer n, such that 6n2 27 is not prime. There exists an integer n, such that 6n2 27 is prime.