Prime Gap Records

Top 0 gaps by merit(filtered)

Every Freycoin block discovers a prime gap as proof of work. The merit of a gap measures its quality: merit = gap / ln(start_prime). Higher merit means a rarer, more mathematically significant gap.

Gaps discovered by Freycoin miners may qualify as records in the global Prime Gap List Project, the definitive database of first known occurrence prime gaps maintained by mathematicians worldwide.

Chain Statistics

Chain Height

4,871blocks

Largest Gap

Highest Merit

Average Merit

11.7339336967

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Top Prime Gaps by Merit

No blocks with prime gap data found yet.

About Prime Gap Mining

How It Works

Miner constructs start = SHA256d(header) << shift + adder
Tests start for primality (BPSW probabilistic test, then APR-CL/ECPP proof for records)
Finds the next prime end after start
Gap = end - start
Merit = gap / ln(start)
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.