Question

Two and three are consecutive prime numbers. Why aren't there any other pairs of consecutive prime numbers?

Answer 1

Please see below.

Explanation:

Two consecutive numbers are not prime, as one of them will always be even and hence divisible by `2`.

The prime numbers are those numbers, who do not have any factor other than `1` and itself.

Now, although `2` is even, as there is no prime factor, other than `1` and itself i.e. `2`, it is prime number.

Hence, `2` and `3` are the only consecutive prime number.