I am asking for my curiosity. Maybe everyone knows the answer to that question. I do not know. I don't have a maths education.
Is there any method known in the Mathematical Statistics that proves that the prime numbers are not randomly distributed?
I mean, without knowing what "mechanism" is, is there a method to show this? Is there such a method in statistics? What I'm talking about, for example, can be a method based on "observation".
Otherwise, does the distribution of prime numbers have nothing to do with Statistics?