This dataset contains the massive raw computational logs and extracted statistical summaries generated during the exploration of structurally constrained prime numbers. The data supports the associated manuscript and the Probabilistic-Prime-Explorer computational pipeline. Contents: logfinalᵣesult/: Contains 26 raw execution logs generated by the odometer-like state-space exploration algorithm. The input parameter N (representing the initial set of sequential prime numbers) ranges from N=10 up to N=8000. Due to the aggressive tree pruning and high hit rate, the computational logs scale significantly, with the largest file (N=8000) reaching approximately 5. 8 GB uncompressed. finalᵣesults. csv: The aggregated analytical summary extracted via extractᵣesults. sh, containing 11 core metrics across all tested values of N (including F1-Score, Duplication Rate, Hit Rate, and Space Coverage). README. md: Contains instructions, the associated software DOI, and references to the manuscript. Note on usage: To reproduce the advanced statistical and structural analyses (such as Cramér's model gaps or Chebyshev bias), please refer to the analytical Python modules hosted in the associated GitHub repository.
Righi et al. (Thu,) studied this question.