A Finite-Depth Deterministic Framework for Twin Primes via Same-Depth Dominance and a Thin Recurrence Lemma
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| Natura: | Recurso digital |
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2026
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| _version_ | 1866901241326469120 |
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| author | Matsuura, Yoshihito |
| author_facet | Matsuura, Yoshihito |
| contents | <p>This paper presents a deterministic finite-depth framework for the twin prime problem.</p> <p>Using a three-term frame, wheel factorization, and a finite same-depth cell space,</p> <p>the infinitude of twin primes is reduced to a single thin recurrence obstruction</p> <p>within a finite residue structure.</p> <p> </p> <p>All arguments are elementary and finite, relying only on explicit arithmetic constructions.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18169678 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | A Finite-Depth Deterministic Framework for Twin Primes via Same-Depth Dominance and a Thin Recurrence Lemma Matsuura, Yoshihito Twin Primes Finite Depth Deterministic Sieve Same-Depth Cell Space Chinese Remainder Theorem Recurrence Obstruction MSHD-HSTG <p>This paper presents a deterministic finite-depth framework for the twin prime problem.</p> <p>Using a three-term frame, wheel factorization, and a finite same-depth cell space,</p> <p>the infinitude of twin primes is reduced to a single thin recurrence obstruction</p> <p>within a finite residue structure.</p> <p> </p> <p>All arguments are elementary and finite, relying only on explicit arithmetic constructions.</p> |
| title | A Finite-Depth Deterministic Framework for Twin Primes via Same-Depth Dominance and a Thin Recurrence Lemma |
| topic | Twin Primes Finite Depth Deterministic Sieve Same-Depth Cell Space Chinese Remainder Theorem Recurrence Obstruction MSHD-HSTG |
| url | https://doi.org/10.5281/zenodo.18169678 |