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The distribution of prime numbers and related composite numbers derives from the intertwining of the respective modules of the infinite prime numbers; this intertwining is not casual but regulated by a very specific mechanism "the mechanism of prime numbers". The first purpose of this article is to illustrate a procedure which accomplishes exactly this mechanism.doi:10.5281/zenodo.4769675 fatcat:2v625esbmbgp3ebjwsqxqsw3um