Data Analysis Method Applied to the Goldbach Conjecture

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.