Prime Gap Records

How It Works

1. Miner constructs start = SHA256d(header) << shift + adder
2. Tests start for primality (BPSW probabilistic test, then APR-CL/ECPP proof for records)
3. Finds the next prime end after start
4. Gap = end - start
5. Merit = gap / ln(start)
6. Block accepted if achieved difficulty ≥ target difficulty

Why It Matters

Every block mined by Freycoin contributes to the mathematical frontier of prime gap research. Large prime gaps are genuine mathematical discoveries - they advance human knowledge of number theory.

Gaps discovered here may earn places in the Top-20 Prime Gaps record lists maintained by mathematicians. This is Proof-of-Work with purpose.