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| Format: | Recurso digital |
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Zenodo
2025
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| Online Access: | https://doi.org/10.5281/zenodo.17994584 |
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Table of Contents:
- <p>Goldbach's Conjecture, proposed in 1742, states that every even</p> <p>number greater than 2 can be expressed as the sum of two prime</p> <p>numbers. Despite verification up to 4 × 10^18, no formal proof has been</p> <p>accepted. This paper proposes that the conjecture resists proof because</p> <p>mathematicians have focused on finding prime pairs (verification) rather</p> <p>than understanding why the structure guarantees their existence</p> <p>(explanation). We demonstrate that Goldbach's Conjecture is a</p> <p>necessary consequence of three established facts: (1) all primes except</p> <p>2 are odd, (2) odd + odd = even, and (3) infinite primes exist. The</p> <p>"mystery" dissolves when we recognize that two primes is the minimum</p> <p>required to "fold" hidden values (odd, prime) into a visible surface</p> <p>(even). This framework, consistent with the author's prior work on P</p> <p>versus NP as dimensional layers, positions Goldbach not as an</p> <p>unsolved problem but as a structural inevitability.</p>