Prime Gap Records

Top 36 gaps by merit(filtered)

Chain Statistics

Chain Height
4,871blocks
Largest Gap
61,110
Highest Merit
8.4108624848
Average Merit
11.7339336967
3 Certified Upgrades36 CertifiableBrowse Global Records

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All4871First OccurrenceMerit RecordsMaximalCertified Upgrades3Certifiable36

Top Prime Gaps by Merit

#BlockGapMeritStatusShiftPrime SizeStart PrimeDate
13721,6308.4108624848Certifiable25280bitsc0ab6a54...0604058d2026-02-09 22:54:09 UTC
23241,6308.3972326723Certifiable25284bits107e4011...1c024f2d2026-02-09 22:52:40 UTC
33441,6308.3936320852Certifiable25284bits11ece0d0...5805ea7f2026-02-09 22:53:03 UTC
44,79261,1107.1947917456Certifiable1200012256bits35605b1e...00004ead2026-02-17 23:18:57 UTC
54,86742,2004.9678368876Certifiable1200012256bits90ead115...00004dd32026-02-18 20:00:20 UTC
64,78839,9944.7084648742Certifiable1200012256bits51331e3e...000031e72026-02-17 22:10:46 UTC
74,86233,9083.9915120029Certifiable1200012256bitsd4ad334f...00007a9b2026-02-18 18:33:48 UTC
84,79433,8643.9867866302Certifiable1200012256bits50cfb44a...00005dd12026-02-18 00:20:32 UTC
94,82633,4603.9393515487Certifiable1200012256bits3d60940e...000010b12026-02-18 08:42:59 UTC
104,86933,0743.8935544489Certifiable1200012256bits844f4233...0000170f2026-02-18 21:10:22 UTC
114,80132,3143.8045579803Certifiable1200012256bits2e0e60a6...0000117b2026-02-18 02:24:56 UTC
124,74231,7703.7407098066Certifiable1200012256bits1d30ea07...00000d952026-02-17 11:20:20 UTC
134,85131,0843.6590352576Certifiable1200012256bitsed29b1bd...000066972026-02-18 15:25:54 UTC
144,71930,6843.6131977140Certifiable1200012252bitsc9a8b16d...000004a92026-02-17 04:52:16 UTC
154,81929,3403.4538625088Certifiable1200012256bitsb005cadb...000000b32026-02-18 07:16:56 UTC
164,77829,2623.4455465718Certifiable1200012256bits14ce6ac9...000034a52026-02-17 19:30:50 UTC
174,83727,3803.2241685150Certifiable1200012252bitsb88ad6eb...000013172026-02-18 11:12:46 UTC
184,75727,0483.1843501397Certifiable1200012256bits4f5ee9af...000036db2026-02-17 13:43:17 UTC
194,77426,5463.1256081000Certifiable1200012256bits1dfbcafc...00003ea12026-02-17 18:25:41 UTC
204,81726,5423.1244103038Certifiable1200012256bitsd83c6f52...000069892026-02-18 06:28:06 UTC
214,71526,4563.1143986488Certifiable1200012256bits9f5bc466...00002cff2026-02-17 04:16:31 UTC
224,80525,9163.0510971457Certifiable1200012256bits4bb88d96...00008f492026-02-18 03:43:55 UTC
234,81124,6422.9013327709Certifiable1200012256bits274e530a...00004cd12026-02-18 04:57:57 UTC
244,83923,9182.8157509674Certifiable1200012256bits6d1fbdb5...0000b3c72026-02-18 11:44:17 UTC
254,78723,6182.7802318295Certifiable1200012256bitsca0578a3...00008f432026-02-17 21:45:18 UTC
264,74423,5042.7668829911Certifiable1200012256bitsa285d234...00000a7d2026-02-17 11:43:50 UTC
274,81323,4262.7576365658Certifiable1200012256bitsc61e4a81...000034372026-02-18 05:38:44 UTC
284,74822,9002.6961221079Certifiable1200012256bits375cffbb...000044752026-02-17 12:25:45 UTC
294,75622,5782.6578086671Certifiable1200012256bitsc8a2c766...000024372026-02-17 13:22:16 UTC
304,70922,1742.6105189508Certifiable1200012256bits53ebcdbb...0000020d2026-02-17 02:49:03 UTC
314,71221,9842.5880960572Certifiable1200012256bits6454b0dc...00007a132026-02-17 03:34:20 UTC
324,86121,3482.5133804907Certifiable1200012256bits3abe2c03...0000399d2026-02-18 18:16:41 UTC
334,85320,3942.4007760928Certifiable1200012256bitsa1cd0f10...00003a7b2026-02-18 16:05:45 UTC
344,84720,3702.3983443993Certifiable1200012256bits28237772...000018bf2026-02-18 14:31:38 UTC
354,75420,3002.3896899485Certifiable1200012256bitsae06a1c5...00001ce92026-02-17 13:12:19 UTC
364,81220,1262.3693588387Certifiable1200012256bits64ee2efc...00005aab2026-02-18 05:18:46 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.