Which of the following statements is not true?

• The difference of two prime numbers, both greater than 2, is divisible by 2
• For two different integers m, n and a prime number p, if p divides the product m × n, then p divides either m or n.
• If a number is of the form 6n –1 (n being a natural number), then its is a prime number.
• There is only one set of three prime numbers such that there is a gap of 2 between two adjacent prime numbers.