Conjectura Forte de Goldbach Derivada da Conjectura de MariltonCR dos Primos Encaixados
Year: 2025
Type: article
Abstract: A concise explanation of the proposed proof of the Strong Goldbach Conjecture The proof is conditional, based on the combinatorial structure described in the MariltonCR Conjecture of Fitted Primes. It demonstrates that, within specific intervals derived from even numbers, there is always at least one prime that survives a cancellation process involving overlaps with divisors smaller than the even number. To apply this to Goldbach’s Conjecture, any even number m is symmetrically divided into two sets: P1 = [1, m] P0 = [1 - m, 0] Each pair (p, m - p) from these sets sums to m. However, not every prime in P1 qualifies: for a pair to be valid, p must be coprime with m. Otherwise, its complement m - p will share a factor with m and cannot be prime. The essential mechanism is that non-coprime primes are systematically eliminated through overlap with m's divisors. What remains — by the MariltonCR Conjecture of Fitted Primes — is guaranteed to include at least one valid prime pair for every even m. 📎 Full proof available at: https://doi.org/10.5281/zenodo.16734582 MariltonCR Conjecture of Fitted Primes Theoretical Foundations and Combinatorial Constructions 🔍 Proofs to be included in the next version: The interval I₇ guarantees at least one additional prime Complete formal derivation of the Strong Goldbach Conjecture ✅ Proofs demonstrated in this version: 5.1 Legendre’s Hypothesis (p. 15) 5.2 Oppermann’s Hypothesis (p. 15) 5.3 Brocard’s Conjecture (p. 16) 5.4 Bertrand’s Postulate (p. 18)
Author: Costa Ribeiro, Marilton (MariltonCR)
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6893517091
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