Prime Gap Records

Top 3 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

36,980

Highest Merit

4.3547160733

Average Merit

11.7339336967

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Top Prime Gaps by Merit

#	Block	Gap	Merit	Status	Shift	Prime Size	Start Prime	Date
1	4,768	36,980	4.3547160733	Proven	12000	12252bits	9bd47f34...0000181f	2026-02-17 16:36:52 UTC
2	4,747	34,188	4.0247927269	Proven	12000	12256bits	6c2e4e59...00001147	2026-02-17 12:10:13 UTC
3	4,022	1,668	1.8808067034	Proven	1024	1280bits	aff6e907...00000309	2026-02-15 02:49:34 UTC

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.