Prime Gap Records

Top 11 gaps by merit(filtered)

Chain Statistics

Chain Height
15,418blocks
Largest Gap
116,262
Highest Merit
13.6863776958
Average Merit
10.7330004206
11 Certified Upgrades7238 CertifiableBrowse Global Records

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All15379First OccurrenceMerit RecordsMaximalCertified Upgrades11Certifiable7238

Top Prime Gaps by Merit

#BlockGapMeritStatusShiftPrime SizeStart PrimeDate
17,601116,26213.6863776958Proven1200012256bits9d288223...000374c32026-03-06 14:32:28 UTC
25,52680,9749.5325000000Proven1200012256bits748ad9ca...000085152026-02-19 01:43:29 UTC
37,23076,1768.9691646478Proven1200012256bits1eeff6aa...000178ed2026-03-04 16:59:43 UTC
47,65675,7688.9190948491Proven1200012256bitsd5f45ee4...000033af2026-03-06 19:16:05 UTC
56,78169,9108.2293465129Proven1200012256bitsfeb29817...00031fe92026-03-02 09:05:03 UTC
67,37369,0768.1317297074Proven1200012256bits8e74008e...0000c33b2026-03-05 10:35:24 UTC
77,54368,0128.0077932492Proven1200012256bits2326368f...00009a272026-03-06 09:21:25 UTC
86,52067,0627.8942500000Proven1200012256bitsd86c2d7f...000017192026-03-01 10:22:15 UTC
97,12967,0007.8877102798Proven1200012256bits5f987621...00018e852026-03-04 04:40:16 UTC
105,95059,2146.9706681524Proven1200012256bits9f651209...000082772026-02-23 13:52:39 UTC
115,73356,4826.6491944344Proven1200012256bits85c71163...0003b4672026-02-21 09:23:26 UTC

About Prime Gap Mining

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.