Twin Prime Residue Classes Modulo 210: Experimental Evidence for Hardy–Littlewood Equidistribution

This archive contains the dataset, source files, figures, and computational materials accompanying the study: "Twin Prime Residue Classes Modulo 210: Experimental Evidence for Hardy–Littlewood Equidistribution" The repository includes all resources required to reproduce the analysis: • Residue-class counts for the 15 admissible twin-prime classes modulo 210• Figures illustrating the observed distribution and relative deviations• LaTeX source files and bibliography• Final PDF manuscript• Documentation and computational requirements The study analyzes 3,424,504 twin prime pairs with p > 7 and examines their distribution among the admissible residue classes modulo 210 = 2·3·5·7. The results show an exceptionally uniform distribution: • Number of admissible classes: 15• Expected frequency per class: 1/15• Observed χ² = 2.30 (14 degrees of freedom)• Maximum deviation from expectation: 0.18%• All classes remain within the expected statistical fluctuation range These results are consistent with the Hardy–Littlewood prediction that twin primes are asymptotically equidistributed among admissible residue classes. This archive is preserved for transparency, reproducibility, and long-term documentation of the computational analysis.