Work

Data Analysis Method Applied to the Goldbach Conjecture

Year: 2026

Type: article

Abstract: Stated in 1742, Goldbach’s conjecture (every even number greater than 2 is the sum of two prime numbers) remains open. This work does not claim to prove it: it proposes an original data-analysis method to explore its decompositions, based on three simple ideas: inversion, structure and factorization. Example: 100 = 23 + (11 × 7), and for 105, three decompositions appear, like successive “waves” of prime numbers overlapping one another. Tested on all even numbers up to one trillion, the deterministic, programmable method finds at least one decomposition every time, with no exceptions.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.24090059

Authors: Raux, Denis, Raux, Constant

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7225638866

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