  Ova-angular rotations of a prime number are characterized, constructed using
the Dirichlet theorem. The geometric properties arising from this theory are
analyzed and some applications are presented, including Goldbach's conjecture,
the existence of infinite primes of the form $\rho = k^2+1$ and the convergence
of the sum of the inverses of the Mersenne's primes. Although the mathematics
that was used was elementary, you can notice the usefulness of this theory
based on geometric properties. In this paper, the study ends by introducing the
ova-angular square matrix.
