In this article, unlike the known deterministic and probabilistic methods used in determining prime numbers, a new type of deterministic method based on only algebraic analysis will be proven without creating a designed equation and without writing preliminary assumptions and prerequisites. For this, in the layers of the numbers in mod 30, it will be proven that the places 30k+1, 30k+7, 30k+11, 30k+13, 30k+17, 30k+19, 30k+23, 30k+29 where the prime numbers except for the first three locate, form a closed system in themselves. These eight locations will be referred to as eight layers and it will also be explained that the prime numbers are distributed equally across eight layers (equidistribution principle) in the closed system. With this new method, it will also be shown that there are possibilities to reduce the processing load considerably.