AiSU Prime Generator: Reproducible Portable Implementation of Prime Generation via Λ-Control and Mixed-Radix Wheel
Authors/Creators
Description
This study presents a reproducible implementation of the AiSU prime generation framework, which integrates mixed-radix wheel construction and Λ-order control to efficiently generate prime candidates. The implementation, provided as a fully portable Python code (aisu_prime_2000_portable.py), emphasizes reproducibility and cross-platform usability:
1. Fixed Parameters: All essential parameters (COUNT, START, WHEEL_K, OVERGEN, VALIDATE) are explicitly defined.
2. Portable Configuration: Save destinations and formats (CSV, TSV, TXT) are separated in a CONFIG section, switchable with a single line between Android and desktop environments.
3. Encoding and Line Terminators: BOM-UTF8 and CRLF settings ensure compatibility across devices.
4. Verification Protocol: Generated primes are cross-checked against a reference sieve; false positives and omissions are fully recorded.
5. Integrity Check: A SHA256 hash file is output for verification of dataset integrity.
This design ensures that identical results can be reproduced across environments without omission. The code contributes a transparent framework for experimental verification of the AiSU prime generation theory.