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In this work, we propose a hypothesis according to which composite and prime numbers emerge as a manifestation of an underlying continuous principle when discretization elements are introduced into it. This hypothesis is supported by a specific continuous, closed, and predictably distributed function that characterizes the behavior of such numbers within a continuous domain. The construction of this function is based on a diagram (referred to as the Divisibility Diagram) that is algorithmically generated. Initially, an equation is formulated to represent this diagram within a mixed domain of real and integer numbers. Subsequently, a function operating in a continuous domain is obtained. By analyzing its properties of continuity, closure, and predictable distribution, the aforementioned hypothesis is formulated.