15 Mathematical Scenes to Uncover the Prime Number Mystery

The text presented here is a fictional dialogue between giants of mathematics aimed at provoking reflection.It is not a new conjecture, hypothesis, or theory, but rather the acknowledgment of a mathematical fact that becomes obvious and self-evident once pointed out. Only the prime numbers up to x/2 are necessary and sufficient to compose or structure all composite numbers up to x, with x>3.This is undeniable. It is pure arithmetic that reveals the duality of primes. The dramatized text plays with the possibility that Gauss, who proposed π(x) as a teenager, already knew this but considered it too trivial to warrant any comment. However, the duality of primes naturally provokes oscillations around x/2, and, as if by magic—no, by logic—immediately collapses the RH when this duality is understood.By Riemann’s own explicit formula, it becomes evident that any zero out of place would violate this primal duality, which is absurd. But simple truths like this are not easy to accept. They are ignored, rejected, and ridiculed. Look at what happened with the discovery of the square root of 2. I am neither a mathematician nor a physicist, just an economist with some expertise in data science who has seen too much.The dramatized text seemed to me the best way to communicate this observation to a broader audience.The play is accompanied by a more formal and didactic text with all the computational evidence presented (https://doi.org/10.5281/zenodo.15086121), as well as a link to an open GitHub repository (https://github.com/costaalv/spectral-structure-of-the-primes) for those who wish to replicate the observations. Finally, an open request:If you listen to the primes and what they have to say, help me spread this truth throughout the academic community.Truth, once revealed, cannot be ignored.I kindly ask for your collaboration and endorsement to help publish the didactic text on arXiv. The primes thank you!