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### Twin prime

There is a cyclic structure in the twin primes and you can see that in the prime number cross.

##### Explanation

The causes are:

 • The number –1 is a reflection relative to the number +1. With the imaginary unit you can express it as i2 = –1 or with Euler's identity as eiπ = –1. • The number 0 can be divided by all other numbers and is therefore not prime. • The number 1 can also be written as e0 = 1 or with the imaginary unit as i0 = 1 and with Euler's identity as e2iπ = 1. • The number 2 is a prime number. Because of this other even numbers can not be primes. • The number 3 is a prime number. Because of this all multiples of three can not be primes. • From the number 5 all primes have the form 6n ± 1. This way two columns develop in which twins primes occur. • After the number 24 the regularity breaks, because the number 25 comes from previous primes, because 25 = 5 × 5. You can see this happen again and again later, like with 35 = 5 × 7 and with 49 = 7 × 7 and so on.