The effective two body interaction is derived using the
single particle Schrodinger equation for the prime
numbers with probability density based on the prime
counting function (which is the number of primes below a
certain x). Though the speculative connection of primes to
Schwarzschild spacetime or black hole has been there for
a long-time, here for the first time our derived potential
serendipitously shows the unique similarity with the
effective potential derived from General Theory of
Relativity for Schwarzschild spacetime. Also, we report
the existence of ISCO and photon sphere in prime
potential and compare with GTR. It is found that when the
prime numbers are represented by a quantum system, the
two-body interaction mimic the effective general
relativistic gravitational interaction in black hole with the
four-acceleration diverging. We also establish an analogy
between the Einstein's static universe and the universe of
primes. The question is "Who ordered that?"