Modelo de campo orbital de los números primos y naturales

The nature of prime numbers has always been one of the greatest challenges in mathematics. Behind the apparent simplicity of the natural number line, these numbers appear, displaying highly complex behavior and responding to an apparent hidden inherent structure that suggests that behind the natural numbers there is a distribution that goes beyond continuous linear generation. In this document, we explain this inherent structure, which appears in the form of cyclical orbits that repeat themselves in periods that expand into increasingly larger layers that go to infinity, following the same periodic rule. the range of the first orbital layer resembles a fractal structure in groups of 8 numbers that as they emerge group all the natural numbers into 8 axes, as a result of these orbits and axes, all prime numbers align in only 2 axes to infinity, thus revealing that these numbers that previously appeared almost randomly on the number line, now in this orbital structure can be found on these 2 numerical axes, thus making them predictable and calculable, making it easier to know where and when they will appear in the sequences of natural numbers; Here we will explain how this geometric structure of the orbital field that models the shape of this numerical distribution is proposed, after which the properties of the generation of prime numbers and many of the behaviors that were previously considered random or highly complex and that appear naturally in this structure are revealed, such as the alignment of prime numbers of the form (6x±1), the Mersenne numbers and how to calculate the amount of prime numbers in any specific interval.