Elementary Considerations on Prime Numbers and on the Riemann Hypothesis

Abstract

The Riemann Hypothesis states the non trivial zeros of a mathematical function, the Riemann zeta function, are, all of them, points pertaining to a vertical line in the Argand-Gauss plane. Technically, this implies there exists an intrinsical order, a balance, within the structure of natural numbers, related to the building blocks, these the prime numbers. We prove the natural numbers are free to exist, i.e., the Riemann Hypothesis is false, which is the main purpose of this paper: to provide an elementary disproof of the Riemann Hypothesis. This version contains an appendix that should suce for explanation on the cardinality of N, @0, which is important here, emphasizing denumerable means countable [countably innity], from which the scope of combinatorics is justied.