Number Theory

    

Goldbachs Inductive Corollaries

Authors: Gustavo García, Oscar Melchor

Assuming the validity of Goldbach’s strong conjecture, we derive a family of inductive consequences concerning the representation of natural numbers as sums of primes. As context, we recall the classical theorems of Vinogradov and Chen, which constitute the most celebrated unconditional advances toward Goldbach’s conjecture. We then present the inductive statements that would follow immediately if Goldbach’s conjecture were true. A proposed elementary proof of Goldbach’s conjecture has been provided by the author at https://vixra.org/author/gustavo_garcia

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[v1] 2025-08-19 02:10:12

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