All Prime 9-tuplets, found by Riecoin

All Prime 8-tuplets, found by Riecoin

July 2025

Prime 9-tuplet

(Top-10)

1162741514344047645126773755581510675025835752852694889651662681558442187107676284182922705
• 523# + 443355092154409 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30 (308 digits, 07 Jul 2025, Riecoin #2384859)

Twin Prime

(2²¹⁶⁰⁹¹ - 1) • (10⁴⁹⁵⁰ - 15183422626) ± 1 (70000 digits, 11 Jul 2025, Ruben Rodriguez Cunillera, OpenPFGW)

Prime 8-tuplet

(Top-10)

6533160806460950048328353310022689019124678673655761394598860472523178118736058017139147751707099917
• 547# + 114023297140211 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (323 digits, 19 Jul 2025, Riecoin #2391508)

3396092961255647370425138602441832232328203894582336855860655986033267377035191807494939666908929226051
• 523# + 437359375794611 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (320 digits, 05 Jul 2025, Riecoin #2383721)

June 2025

Twin Prime

(Top-10)

15898321815 • 2³³³⁶⁴⁵ ± 1 (100448 digits, 23 Jun 2025, Serge Batalov, NewPGen, OpenPFGW)

May 2025

Prime 9-tuplet

(Top-10)

1717612405724514020343974524411477095916171281075654764968715655356524312373510954101675371605
• 521# + 220452326319761 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (308 digits, 28 May 2025, Riecoin #2361437)

1019798582632338394076105053210508851392962816307091970137493574265559200180882377733723233784599113386
• 499# + 145933845312371 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (309 digits, 01 May 2025, Riecoin #2345904)

Twin Prime

(Top-10)

1867513233  • 2²⁶⁶⁶⁹⁸ ± 1 (80294 digits, 15 May 2025, Bo Tornberg, TwinGen, LLR)

April 2025

Prime 9-tuplet

(Top-10)

232419521557645481135590351622784242665787702180336807858480405171833045030126672414993707
• 541# + 235367427477641 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (310 digits, 30 Apr 2025, Riecoin #2345662)

50134399968336406861291010846106783509160363030730313813522797714265536760109675359280388591726600514085
• 491# + 114023297140211 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (308 digits, 05 Apr 2025, Riecoin #2330830)

Twin Prime

(Top-10)

9955858992 • 11¹¹¹¹¹¹ ± 1 (115721, 04 Apr 2025, Göran Schmidt, NewPGen, PRST)

March 2025

Prime 9-tuplet

(Top-10)

10234003620060482375807219278192348716970842069610227590034692386213107604654457516068936223
• 521# + 145888993435301 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (306 digits, 30 Mar 2025, Riecoin #2327847)

127056788126724618101397588441779608092808880745016751229130977880946339047977259756064830072404168
• 503# + 226554621544609 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30 (307 digits, 15 Mar 2025, Riecoin #2318769)

Prime 8-tuplet

(Top-10)

11353931709866739648226955494600568354731404614234625210000062657515902212233032370856173278043660576308
• 541# + 301713410008253 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 (323 digits, 21 Mar 2025, Riecoin #2322411) (new pattern record)

21867597424209384341168623186583992189659929506364074884955201766876112739034769748227036506380277972
• 523# + 114023297140211 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (318 digits, 05 Mar 2025, Riecoin #2313241)

February 2025

Prime 9-tuplet

(Top-10)

629890765169303956463203674344921136457914174210975896062738680394230709899644451651443737728
• 523# + 295565457422351 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (310 digits, 06 Feb 2025, Riecoin #2297494)