Prime numbers and integers as black holes and stars in the analog Einstein static universe with dark energy

It is found that when the prime numbers are represented by a quantum system the two body interaction comes out naturally the effective general relativistic gravitational like that of a black hole with the four acceleration diverging and for the integers in general the two body interaction is that of the attractive gravitational like interaction. Since numbers in general and prime numbers and integers in particular are time independent, the Einstein's static universe with a dark energy represents the universe of primes as black holes and integers as stars. The related wave function also provides the maximal prime number gaps consistently. The question is "Who ordered that ?"