### Prime twin

The **prime twins** find their origin in the complex numbers.

##### Explanation

In the table of prime twins the numbers −1, 0 and +1 are shown, because they form the starting point for all primes. You can write that as

−101

Because the number −1 is not on the number circle you can also write it with the imaginary unit as

i^{2}01

Another variant in which squares occur can be written as

i^{2}01^{2}

To clarify the cyclic structure of numbers, you can write it with Euler's identity as

e^{iπ}0e^{2iπ}