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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.
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What is the greatest difference between two consecutive prime numbers less than 100?
The maximum difference is 8, between 89 and 97.
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.
Why arent there any other consecutive prime numbers besides 2 and 3?
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.
Two prime numbers that are consecutive natural numbers?
2,3 and 1 and 2 are the only consecutive primes, as any higher even number has a factor of 2.
What is the Product of two consecutive prime numbers?
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.
