An Expanded Analytical Model for Explaining All Even Cases in Goldbach's Conjecture up to One Million
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| Formato: | Recurso digital |
| Lenguaje: | inglés |
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2025
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| _version_ | 1866901616303538176 |
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| author | Mohammad, Hassan |
| author_facet | Mohammad, Hassan |
| contents | <p>This paper presents a comprehensive analytical model that explains all even cases in Goldbach's Conjecture up to one million. The model integrates three mechanisms: a generative rule of the form h = 11 + 6k, binary decomposition into two primes, and mixed decomposition into a prime and a semiprime. After excluding trivial cases (h = 2, 3), no exceptions were found. The model is supported by executable C++ code and includes bilingual documentation in English and Arabic, making it suitable for both academic research and educational use.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17456650 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | An Expanded Analytical Model for Explaining All Even Cases in Goldbach's Conjecture up to One Million Mohammad, Hassan <p>This paper presents a comprehensive analytical model that explains all even cases in Goldbach's Conjecture up to one million. The model integrates three mechanisms: a generative rule of the form h = 11 + 6k, binary decomposition into two primes, and mixed decomposition into a prime and a semiprime. After excluding trivial cases (h = 2, 3), no exceptions were found. The model is supported by executable C++ code and includes bilingual documentation in English and Arabic, making it suitable for both academic research and educational use.</p> |
| title | An Expanded Analytical Model for Explaining All Even Cases in Goldbach's Conjecture up to One Million |
| url | https://doi.org/10.5281/zenodo.17456650 |