Turkish Sieve Engine – Full Prime Statistics Up to 10^14 and V2 Preview

Hi HN, I’m announcing a major update for the Turkish Sieve Engine (TSE). We have just published comprehensive and deterministic distribution statistics across the entire 10^14 range.

What we've achieved:Full Spectrum Stats: We didn't just stop at twin and cousin primes. We’ve now published detailed enumeration data for General Primes up to 100 trillion.

High-Scale Verification: These tables provide a bit-perfect reference for researchers, confirming the accuracy of our modular-arithmetic-free N/6 bit methodology.

Correction of Historical Records: Our engine continues to verify and correct legacy datasets, including the well-known discrepancies in Dr. Thomas Nicely’s tables.

Tera-Scale Performance: Measured a peak throughput of 1.13 Trillion candidates/sec on an RTX 5090.

Coming Soon: Version 2.0.0 (The General Prime Update)The current version (V1.0.0) is specialized for twin/cousin detection. We are now in the final optimization stages of Version 2.0.0, which will:Integrated General Prime Engine: Full, high-speed support for general prime detection and enumeration within a single, unified interface.

Standalone Executable: Like V1, the new version will be released as a pre-built standalone .exe, ensuring that researchers can run tera-scale experiments without needing to manage complex CUDA/C++ environments. Hardware-Level Optimizations: Advanced memory management for the upcoming "General Prime" module to maintain our signature efficiency.The updated statistics are live in our repository. I’d love to hear your thoughts on the scalability of N/6 bit structures for general prime enumeration!

GitHub: https://github.com/bilgisofttr/turkishsieve

Zenodo: https://doi.org/10.5281/zenodo.18038661