  In this short paper, following the most recent advances in complex network
theory, a new approach to number theory with potential applications to other
fields is proposed. The model by Garcia-Perez, Serrano and Boguna, introduces
an algorithm which allows to create a bipartite graph of integers (with primes
and composites) statistically very close to the real one. Since the algorithm
is defined a priori, we can have a description of the simulated prime number
distribution in terms of a known differential equation, which in general can be
treated more easily. The so determined properties of the simulated distribution
can give useful hints about the behavior of the real prime number distribution.
In principle it could be also possible to demonstrate open questions in number
theory, proven the total equivalence of the simulated and real distributions.
