Compact reproducibility package for "Residue-Class Prime Walks and Zero-Sum Blocks in Consecutive Prime Residues"
Tarō Hayashi, Ryoichi Suzuki · Zenodo (CERN European Organization for Nuclear Research) · 2026
This record contains a compact reproducibility package for the manuscript“Residue-Class Prime Walks and Zero-Sum Blocks in Consecutive Prime Residues.” The package consists of a standalone Jupyter Notebook with embedded derived data,a README file, minimal Python requirements, and SHA256 checksums. The notebookreconstructs the numerical analysis, summary tables, surrogate-model comparisons,lag-contribution diagnostics, zero-sum block diagnostics, and vector-PDF figuresused in the manuscript. The package is designed to reproduce the reported numerical analysis fromembedded derived data. It is not intended to rerun all prime generation,Monte Carlo simulations, or the full extended computation from scratch. This version updates the standalone notebook package to match the new manuscript version, including the log-log R² summaries, q=10 tail-proportion handling, and Markov-1 formula-check diagnostics.