So you still think prime numbers are random?
Take a look at this really cool project, it kinda reminds me of the sieve of Eratosthenes: El Patrón de los Números Primos: Prime Number Patterns – Jason Davies
You can examine more on divisor plot as well.
Prime numbers has mystified mathematicians for centuries, there seems to be a pattern but mathematicians aren’t able to find a method to predict the next sequence or understand what exact cause prime numbers to be the sequence it currently is.