Through infinite coverings to a proof of the Twin prime conjecture and similar

We propose a tool based on complete infinite coverings for working with periodic patterns of prime numbers. In all such coverings, the active area has a piecewise permeable boundary, which made it possible to prove the Twin prime conjecture and similar. Contents 1. Introduction 2. The idea of infinite coverings 3. A model for prime numbers 4. Autopsy of twin primes 5. Regarding other patterns… 6. A deconstructive proof 7. Conclusion Addendum 24.09.2026

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-24
DOI
https://doi.org/10.5281/zenodo.22102471
Primary Topic
Mathematical Dynamics and Fractals
Type
preprint
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preprint

Through infinite coverings to a proof of the Twin prime conjecture and similar

Mikhail Bokiy
Zenodo (CERN European Organization for Nuclear Research)
Mathematical Dynamics and Fractals
preprint

Through infinite coverings to a proof of the Twin prime conjecture and similar

Mikhail Bokiy
preprint en

Abstract

We propose a tool based on complete infinite coverings for working with periodic patterns of prime numbers. In all such coverings, the active area has a piecewise permeable boundary, which made it possible to prove the Twin prime conjecture and similar. Contents 1. Introduction 2. The idea of infinite coverings 3. A model for prime numbers 4. Autopsy of twin primes 5. Regarding other patterns… 6. A deconstructive proof 7. Conclusion Addendum 24.09.2026

Zenodo (CERN European Organization for Nuclear Research)
Mathematical Dynamics and Fractals
DOIOpen Access PDFOpenAlex
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Through infinite coverings to a proof of the Twin prime conjecture and similar — Mikhail Bokiy · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS