Proof of the Twin Prime Conjecture(Together with the Proof ofPolignac’s Conjecture for Cousin Primes)

In this paper proof of the twin prime conjecture is going to be presented. In order to do that, the basic formula for prime numbers was analyzed with the intention of finding out when this formula would produce a twin prime and when not. It will be shown that the number of twin primes is infinite. The originally very difficult problem (in observational space) has been transformed into a simpler one (in generative space) that can be solved. The same approach is used to prove the Polignac's conjecture for cousin primes. The presented proof represents a small modification of the procedure that was used to prove the Sophie Germain primes conjecture.