Which of the prime numbers 2 3 4 5 6 and 7 cannot be the difference between two consecutive prime numbers greater than 2?

Any prime numbers greater than 2 will be odd numbers. The difference between two odd numbers will be an even number. So, the difference between two prime (and odd) numbers could be 2, 4, or 6, of the numbers given. The difference could not be 3, 5, or 7.