Analysis demonstrates uniform distribution of twin primes among residue classes, highlighting significant findings from the twin prime investigation.
This is version 1.0.0 of the dataset and code accompanying the paper: "Twin Prime Residue Classes Modulo 210: Experimental Evidence for Hardy–Littlewood Equidistribution" This release includes all materials necessary to understand and reproduce the analysis: 📁 data/ - Counts for each admissible residue class (classes_210.csv)📁 figures/ - Visualizations generated from the analysis - deviations_210.png: Bar plot of percentage deviations from 1/15 - classes_210_circular.png: Circular distribution of the 15 admissible classes📁 latex/ - LaTeX source files for the paper - paper2.tex: Main LaTeX document - references.bib: Bibliography📄 paper2.pdf - Final PDF version of the article📄 README.md - Documentation and instructions📄 requirements.txt - Python dependencies The analysis confirms that twin primes are uniformly distributed among the 15 admissible residue classes modulo 210: - Total pairs analyzed: 3,424,504 (p > 7)- Expected frequency per class: 1/15 ≈ 0.06667- Observed χ² = 2.30 with 14 degrees of freedom- Maximum deviation: only 0.18% from the expected value This is a direct continuation of our previous work:Morales Córdoba, V. E. (2026). Digit Transitions of Twin Primes in Bases 6, 12, 18, 30, and 10: An Experimental Study. Zenodo. https://doi.org/10.5281/zenodo.18912775 For citation, please use the DOI that will be assigned to this record.
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Victor Eduardo Morales Cordoba (2026) studied this question.
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