PreprintCC BY-NC-ND 4.0Zenodo
The Cousin Prime Theorem and the Sexy Prime Theorem
Abstract
Both theorems follow from the same architecture that proved the
Twin Prime Theorem in the companion papers "The Twin Prime Theorem
in the Prime Field Architecture" and "The Twin Prime Threshold"
(David-Michael: Skerl, SJRDI, October 2026). The proof structure
IS identical: K-gap pairs in the P₁ Fiber + Brun lower bound +
explicit threshold + complete coverage.
Related
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- From a Seven-Eighths Zero-Free Theorem to Shifted Pick Kernels: A Reassessment and Extension of the Newton Prime–Weil–Hermitian Programme
- The Boolean Prime Ideal Theorem and Vitali Sets
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BibTeX
@misc{skerl2026cousin,
title = {{The Cousin Prime Theorem and the Sexy Prime Theorem}},
author = {David-Michael Skerl},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23455774},
url = {https://zenodo.org/records/23455774},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - The Cousin Prime Theorem and the Sexy Prime Theorem
AU - David-Michael Skerl
PY - 2026
DA - 2026/10/18
PB - Zenodo
DO - 10.5281/zenodo.23455774
UR - https://zenodo.org/records/23455774
AB - Both theorems follow from the same architecture that proved the Twin Prime Theorem in the companion papers "The Twin Prime Theorem in the Prime Field Architecture" and "The Twin Prime Threshold" (David-Michael: Skerl, SJRDI, October 2026). The proof structure IS identical: K-gap pairs in the P₁ Fiber + Brun lower bound + explicit threshold + complete coverage.
ER -