A Predictive Model for Prime Numbers in Base-9: A Harmonic Approach to Prime Distribution
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| Format: | Recurso digital |
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Zenodo
2025
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| _version_ | 1866901211074002944 |
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| author | Hoegfeldt, Ian |
| author_facet | Hoegfeldt, Ian |
| contents | <p>This paper introduces a novel predictive model for prime numbers based on Base-9 arithmetic. Unlike traditional number systems, which treat prime numbers as unpredictable, Base-9 reveals a harmonic structure that allows for prime number prediction without brute-force verification. The formula, has been verified up to 50 trillion, demonstrating that prime locations can be accurately determined without trial division. This discovery has profound implications for number theory, cryptography, and computational efficiency.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_15009182 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | A Predictive Model for Prime Numbers in Base-9: A Harmonic Approach to Prime Distribution Hoegfeldt, Ian <p>This paper introduces a novel predictive model for prime numbers based on Base-9 arithmetic. Unlike traditional number systems, which treat prime numbers as unpredictable, Base-9 reveals a harmonic structure that allows for prime number prediction without brute-force verification. The formula, has been verified up to 50 trillion, demonstrating that prime locations can be accurately determined without trial division. This discovery has profound implications for number theory, cryptography, and computational efficiency.</p> |
| title | A Predictive Model for Prime Numbers in Base-9: A Harmonic Approach to Prime Distribution |
| url | https://doi.org/10.5281/zenodo.15009182 |