Because any number divisible by 2 is not a Prime number, so any even no. is divisible by 2. Thus any number higher than 3 will be divisible by 2. Therefore the only consecutive prime nos. are 1, 2 and 3
The only two consecutive numbers that are both prime are 2 and 3. Since there are no other even prime numbers (other than 2), there are no more pairs of consecutive prime numbers. Therefore, the term "twin primes" usually refers to pairs of prime numbers that are 2 numbers apart. Examples are (3, 5), (5, 7), (11, 13), (101, 103), and many others more. It is not currently know whether there are infinitely many twin primes.
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After (3, 5, 7), you can't have any more such "triplets", since one of the three must needs be a multiple of 3.
(3,5), (5,7), (11,13), (17,19) plus infinitely more.
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Numbers that have more than two factors are not prime numbers because prime numbers have only two factors.
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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Prime numbers have two factors. Composite numbers have more than two.