A SIEVE CONNECTING THE WEAK GOLDBACH CONJECTURE WITH THE STRONG ONE

This note presents an exploratory construction based on a simple arithmetic sieve that visualizes a structural connection between the already proven weak Goldbach Conjecture and the strong form.
The approach does not constitute a formal proof but aims to provide a heuristic and educational perspective on how sums of three primes can be related to representations of even numbers as sums of two primes.
This work is shared as a personal mathematical exploration and hobby project, intended to encourage discussion and visualization, rather than claim any formal resolution of the strong Goldbach Conjecture.