Fermat Numbers: Computational Analysis Through Temporal Dynamics Framework
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| Natura: | Recurso digital |
| Lingua: | inglese |
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Zenodo
2026
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| _version_ | 1866901661003284480 |
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| author | Ibbotson, James Norman |
| author_facet | Ibbotson, James Norman |
| contents | This paper applies the Temporal Dynamics Framework resonance and decoherence analysis to Fermat numbers F_n = 2^(2^n) + 1. The only known Fermat primes are F_0 = 3, F_1 = 5, F_2 = 17, F_3 = 257, and F_4 = 65537. The analysis examines resonance decay patterns, factorisation structure, Universal Prime resonance values, and provides a dashboard analysis. Four diagnostic figures are included. The paper acknowledges Wilfrid Keller's comprehensive Fermat factorisation database. Paper 32 in the Temporal Dynamics Framework Research Series. |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19544249 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Fermat Numbers: Computational Analysis Through Temporal Dynamics Framework Ibbotson, James Norman Fermat numbers Fermat primes primality testing factorisation F_n = 2^(2^n) + 1 Temporal Dynamics Framework Universal Primes This paper applies the Temporal Dynamics Framework resonance and decoherence analysis to Fermat numbers F_n = 2^(2^n) + 1. The only known Fermat primes are F_0 = 3, F_1 = 5, F_2 = 17, F_3 = 257, and F_4 = 65537. The analysis examines resonance decay patterns, factorisation structure, Universal Prime resonance values, and provides a dashboard analysis. Four diagnostic figures are included. The paper acknowledges Wilfrid Keller's comprehensive Fermat factorisation database. Paper 32 in the Temporal Dynamics Framework Research Series. |
| title | Fermat Numbers: Computational Analysis Through Temporal Dynamics Framework |
| topic | Fermat numbers Fermat primes primality testing factorisation F_n = 2^(2^n) + 1 Temporal Dynamics Framework Universal Primes |
| url | https://doi.org/10.5281/zenodo.19544249 |