2 and 3 are a pair
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There is only one pair of consecutive prime numbers, and the prime numbers are two and three, because any pair of consecutive numbers has one odd and one even number, and two is the only even prime number, because all other even numbers can be divided by two, and the only pairs of consecutive numbers are one and two and three, but one is not prime because it only has one factor, thus making the only consecutive pair of primes two and three. But the problem asks for the product of the two numbers, not the numbers themselves, so just multiply two and three together to get a final result of six.
There are many cases of prime numbers with a difference of 8, for example (3, 11), and (101, 109). Look at a list of prime numbers, and you will quickly find more examples. If you mean, without other prime numbers in between, I believe the first such pair is (89, 97). I am pretty sure you will find more - just look at a table of prime numbers.
Because any consecutive pair of numbers would involve an even number which will always be divisible by 2. As 2 is the only even prime number, 2 and 3 are necessarily the only sequential prime numbers.
If you are looking for two prime numbers whose difference is 1, then the numbers have to be 1 & 3.
A prime number is an integer which is greater than one and which is evenly divisible only by one and itself. A pair of prime numbers consists of two such numbers.