On Goldbach Conjecture

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Main Author: Soleymani, Ramin
Format: Recurso digital
Language:English
Published: Zenodo 2025
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author Soleymani, Ramin
author_facet Soleymani, Ramin
contents <p><span>This paper presents a proof of Goldbach's Conjecture by modeling the problem as a connectivity theorem in an additive graph constructed from the prime number set. Using a contradiction-based strategy and leveraging modern prime gap bounds, we demonstrate that every even integer must be the sum of two primes. The argument is supported by computational verification and analytic number theory, culminating in a contradiction that no such gap-based counterexample can exist.</span></p>
format Recurso digital
id zenodo_https___doi_org_10_5281_zenodo_15666884
institution Zenodo
language eng
publishDate 2025
publisher Zenodo
record_format zenodo
spellingShingle On Goldbach Conjecture
Soleymani, Ramin
Goldbach Conjecture
<p><span>This paper presents a proof of Goldbach's Conjecture by modeling the problem as a connectivity theorem in an additive graph constructed from the prime number set. Using a contradiction-based strategy and leveraging modern prime gap bounds, we demonstrate that every even integer must be the sum of two primes. The argument is supported by computational verification and analytic number theory, culminating in a contradiction that no such gap-based counterexample can exist.</span></p>
title On Goldbach Conjecture
topic Goldbach Conjecture
url https://doi.org/10.5281/zenodo.15666884