Additions in 2021

December 2021

Prime 10-tuplet

(smallest with 95 digits and each pattern)
10000000000000000000000000000000000000000000000000000000000000000000000000008390609070050144107 + d
d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 32 (95 digits, 27 Dec 2021, Norman Luhn)
10000000000000000000000000000000000000000000000000000000000000000000000000088417260467478988171 + d
d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (95 digits, 25 Dec 2021, Norman Luhn)

Prime 9-tuplet

352360483181346865458241271679723612698522403422825810225007396594617602134749714450854301781722077875166
* 457# + 302000014586509 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30 (292 digits, 27 Dec 2021, Riecoin #1640522)

257318034654111819621802511499045723803686616837111265777788023159740220081287314252317594574381
* 449# + 380284918609481 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (281 digits, 21 Dec 2021, Riecoin #1636964)

1285897436414229397879253137835709328420499854296690250107786136168118236699867925624486888053153988984555053
* 443# + 27899359258009 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30 (291 digits, 19 Dec 2021, Riecoin #1636021)

1657818470571599561261598554164065452026126127696138156496865986299371039919391471562919572623342964479
* 449# + 226554621544609 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30 (287 digits, 13 Dec 2021, Riecoin #1632244)

1574649584907747555706133630785765300471148459969743147116987603964781873723920925748330533139472006902
* 457# + 145799289681161 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (290 digits, 6 Dec 2021, Riecoin #1628519)

151420216753147705364885267710470319913495404900178680695770900902476759510425579023359320305288334
* 449# + 980125031081081 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (283 digits, 3 Dec 2021, Riecoin #1626848)

November 2021

Prime 10-tuplet

(smallest with 90 digits to given pattern)
100000000000000000000000000000000000000000000000000000000000000000000030470680515123366127 + d
d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 32 (90 digits, 05 Nov 2021, Norman Luhn)

Prime 9-tuplet

147807759781711968865389529272742298979147962123222700107620515659067459819265042300840259710140
* 461# + 114189340938131 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (286 digits, 26 Nov 2021, Riecoin #1622250)

303555990495106750638433773593728191527380547334426147856782961396299393439878276389504848134233566353084968
* 431# + 3843547642594391 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (282 digits, 19 Nov 2021, Riecoin #1618491)

Prime 6-tuplet

(NEW RECORD!)
(THE 2ND KNOWN TITANIC PRIME SEXTUPLET !!!)
23700 + 33888977692820810260792517451 + d, d = 0, 4, 6, 10, 12, 16 (1114 digits, 21 Nov 2021 (found on 8 Nov 2021), Vidar Nakling, Primo, Sixfinder)

Prime Quintuplet

23700 + 33888977692820810260792517455 + d, d = 0, 2, 6, 8, 12 (1114 digits, 21 Nov 2021 (found on 8 Nov 2021), Vidar Nakling, Primo, Sixfinder)
23700 + 33888977692820810260792517451 + d, d = 0, 4, 6, 10, 12 (1114 digits, 21 Nov 2021 (found on 8 Nov 2021), Vidar Nakling, Primo, Sixfinder)

Prime Triplet

14059969053 * 236672 - 5 + d, d = 0, 4, 6 (11050 digits, Jun 2018, Serge Batalov, NewPgen, OpenPFGW, Primo)

October 2021

Prime 13-tuplet

(NEW RECORD!)
9985637467 * 139# + 3629868888791261 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 (66 digits, 01 Oct 2021, Roger Thompson)

Prime 12-tuplet

9985637467 * 139# + 3629868888791261 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (66 digits, 01 Oct 2021, Roger Thompson)
9985397181 * 139# + 249386599747880711 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (66 digits, 01 Oct 2021, Roger Thompson)

Prime 9-tuplet

387833514641724600357029749119397331285062620621983133723181869572568059514167753188325960698719230
* 467# + 226193845148629 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30 (294 digits, 27 Oct 2021, Riecoin #1605403)

160533373631293095233503893144635619296522202718806052660578701855223488441983268216748655665897242506
* 419# + 380284918609481 + d, d=0, 2, 6, 8, 12, 18, 20, 26, 30 (271 digits, 16 Oct 2021, Riecoin #1598440)

406596812565701400857800702940093143488144607210803654012043616137174459787247356256345533683964888159929213194
* 401# + 437163765888581 + d, d=0, 2, 6, 8, 12, 18, 20, 26, 30 (275 digits, 13 Oct 2021, Riecoin #1596840)

83987124291724465791649677507185461400952046976410727254181924558831304230538963442402109323130740234
* 421# + 295565457422351 + d, d=0, 2, 6, 8, 12, 18, 20, 26, 30 (273 digits, 13 Oct 2021, Riecoin #1597172)

51791293147566588028984989343582152853935863803505062309205898456236425537374939106784922191676436973177
* 421# + 380284918609481 + d, d=0, 2, 6, 8, 12, 18, 20, 26, 30 (276 digits, 05 Oct 2021, Riecoin #1592356

Prime 8-tuplet

54598824190010361875282469578684418459657573362461324471660422883073099662240278837985413217294784653805
* 509# + 226374233346623 + d, d=0, 6, 8, 14, 18, 20, 24, 26 (316 digits, 30 Oct 2021, Riecoin #1607166)

652860139668148506027538015230153318100639856923430236186190699612250481487112024837265410828490443427344306052
* 467# + 1418575498583 + d, d=0, 6, 8, 14, 18, 20, 24, 26 (307 digits, 26 Oct 2021, Riecoin #1604890)

1003196298617375646416642308462802536422799049663270195408652126607761421584998613928566265881964993799
* 491# + 226374233346623 + d, d=0, 6, 8, 14, 18, 20, 24, 26 (306 digits, 26 Oct 2021, Riecoin #1604885)

20518246749573003390157307495389937185778289026780722423492633518627656090785797060729782831994247623668815667
* 461# + d, d=0, 2, 6, 8, 12, 18, 20, 26 (300 digits, 28 Oct 2021, Riecoin #1605552)

237290937625019988409934680338216405908629349352492341129431599973490073614754863588338476036934867547671407908
* 487# + 1146773 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 (312 digits, 20 Oct 2021, Riecoin #1600958)

188273324392097141944873869557423547058811920840483304365112457383885407879644413861445197917160744
* 509# + 226374233346623 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 (310 digits, 20 Oct 2021, Riecoin #1600978)

6068138408292784654794269848877333341123929067736255007020032491702134706361073607222476583743922495929518535
* 487# + 437163765888581 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (310 digits, 20 Oct 2021, Riecoin #1600993)

11004593829647483413087251970916921162618596520692727189485882993497555092821010031696264407081251764961
* 487# + 380284918609481 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (304 digits, 19 Oct 2021, Riecoin #1600850)

322460964628976498347625276424015509198746144047443309155739705677951719458914812484018023882991
* 491# + 114189340938131 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (299 digits, 24 Oct 2021, Riecoin #1603280)

Prime 7-tuplet

51888697286859758286462601904903121005322180580003165953085452054919486657902743310103017711916802670
* 541# + 226374233346629 + d , d = 0, 2, 8, 12, 14, 18, 20 (321 digits , 30 Oct 2021, Riecoin #1607204)

9888625633802605692813554675305569762963812859296733912002209782489914868945557733991918300434626412299934
* 521# + 226554621544619 + d , d = 0, 2, 8, 12, 14, 18, 20 (321 digits , 30 Oct 2021, Riecoin #1607205)

September 2021

Prime 10-tuplet

(smallest with 90 digit to given pattern)
100000000000000000000000000000000000000000000000000000000000000000000046561545070308183901 + d
d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (90 digits, 26 Sep 2021, Norman Luhn)

(NEW RECORD!)
14315614956030418747867488895208199566750873528908316976274174208238191434937011407287479676495550
* 449# + 226554621544607 + d, d=0, 2, 6, 12, 14, 20, 24, 26, 30, 32 (282 digits, 12 Sep 2021, Riecoin #1579367, PrimaPoolSolo)

Prime 9-tuplet

14315614956030418747867488895208199566750873528908316976274174208238191434937011407287479676495550
* 449# + 226554621544609 + d, d=0, 4, 10, 12, 18, 22, 24, 28, 30 (282 digits, 12 Sep 2021, Riecoin #1579367, PrimaPoolSolo)

14315614956030418747867488895208199566750873528908316976274174208238191434937011407287479676495550
* 449# + 226554621544607 + d, d=0, 2, 6, 12, 14, 20, 24, 26, 30 (282 digits, 12 Sep 2021, Riecoin #1579367, PrimaPoolSolo)

3424239320628216253618200093700298489326307644191615808905922492606866260592285389689368883218945593067
* 433# + 701889794782061 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (280 digits, 01 Sep 2021, Riecoin #1572997)

131335082382245514289684420501861906213604800789642502146289341875887210782871753100831948465363384850116
* 421# + 76075560855379 + d, d =0, 4, 10, 12, 18, 22, 24, 28, 30 (276 digits, 01 Sep 2021, Riecoin #1573052)

Prime Quadruplet

101406820312263 * 212042 - 1 + d, d = 0, 2, 6, 8 (3640 digits, Jun 2018, Serge Batalov, OpenPFGW, NewPGen,Primo)

Prime Twins

160204065 * 2262148 ±1 (78923 digits, Aug 2021, Erwin Doescher, LLR)

August 2021

Prime 17-tuplet

(smallest with 25 digits and each pattern)
1024494443639408527082233 + d , d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66 (25 digits, 20 Aug 2021, Norman Luhn)
1234254817970443433617451 + d , d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66 (25 digits, 20 Aug 2021, Norman Luhn)
1271960773255490350812797 + d , d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56, 62, 66 (25 digits, 20 Aug 2021, Norman Luhn)
1341829940444122313597407 + d , d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66 (25 digits, 20 Aug 2021, Norman Luhn)

Prime 14-tuplet

(smallest with 40 digits to given pattern)
1000000000000000014210159036148101380471 + d , d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (40 digits, 20 Aug 2021, Norman Luhn)

Prime 10-tuplet

(smallest with 85 digits and each pattern)
1000000000000000000000000000000000000000000000000000000000000000022997034170524527571 + d
d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (85 digits, 28 Aug 2021,Norman Luhn)
1000000000000000000000000000000000000000000000000000000000000000001250579054870603617 + d
d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 32 (85 digits, 28 Aug 2021, Norman Luhn)

(smallest googol !)
10000000000000000000000000000000000000000000000000000000000000000000000000000000000426534752174683621 + d
d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (101 digits, 23 Aug 2021, Norman Luhn)
10000000000000000000000000000000000000000000000000000000000000000000000000000000083943549068390212567 + d
d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 32 (101 digits, 23 Aug 2021, Norman Luhn)

(NEW RECORD!)
290901656335108169864195656135043662615199446375386143995339722400236057821426952579658098504166333411889
* 401# + 380284918609481 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 (269 digits, 27 Jul 2021, tentuple)

Prime 9-tuplet

115750297122237222935734922477288507624860627469651014827576218647836337473108302145884182747351935638522131
* 439# + 980125031081081 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (287 digits, 24 Aug 2021, Riecoin #1568122)

2013582968688100254021601080203506492283895313221178016484151445253584656191978234310137219527
* 461# + 226193845148629 + d, d = 0, 4, 10, 12, 18, 22, 24, 28,30 (284 digits, 24 Aug 2021, Riecoin #1568391)

732510298464897302406863094406522970022698347078480858977704780162529246459062655850703116903119380663871601
* 440# + 114521428533971 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (288 digits, 20 Aug 2021, PrimaPoolSolo)

13941780746436414018698387636102779229293375330619030932204602199443540774826962448707456602381399834618
* 443# + 701889794782061 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (286 digits, 20 Aug 2021, Suprnova)

1519007803707207636172890273323957030631282142918279301959878723805156323295860440667348707667809976826323916
* 433# + 114189340938131 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (285 digits, 20 Aug 2021, ProtonPool)

34054655905291789780022004039187458974596733542616362631849659033442328237809401298372608722059630550
* 443# + 114355384736051 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (283 digits, 20 Aug 2021, PrimaPoolSolo)

2308592721935770706011673286141005968738805658628030547206190428961516998627192255910113817055311300254411
* 433# + 443493962465989 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30 (283 digits, 20 Aug 2021, ProtonPool)

273542921709850834312949033579796282048339254739791555688942559526170869524989267273862146315575255643380
* 431# + 114023297140211 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (279 digits, 20 Aug 2021, TomB)

28108697500758455972625172283975654483647707135979031694291627661306864307743015763993393528352073009319518298
* 419# + 226735009742599 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30 (279 digits, 20 Aug 2021, PrimaPoolSolo)

151234127799028203226980344472327769684608867211433596334528395510002189705596316084582963157719040
* 440# + 1487854607298791 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (278 digits, 20 Aug 2021, XpoolX)

(NEW RECORD!)
(FIRST WITH MORE THAN 1000 BITS!)
3662943827507055653453285926700023101620402654194921037456914703634367453333223968004841750810165461896894501
* 463# + 2325810733931801 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (302 digits, 22 Aug 2021, #1567399, PrimaPoolSolo)

(NEW RECORD!)
1620259924615470570706663156278905026372754732844252658390408090245313172792664271166384219300680488342402961778
* 450# + 1487854607298791 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (296 digits, 20 Aug 2021, PrimaPoolSolo)

Prime 8-tuplet

3662943827507055653453285926700023101620402654194921037456914703634367453333223968004841750810165461896894501
* 463# + 2325810733931801 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (302 digits, 22 Aug 2021, #1567399, PrimaPoolSolo)

128225790098449462554791725702660341231983505261738200778850470659597812508251249240284606022535250058728805
* 463# + 1277156391416021 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (300 digits, 22 Aug 2021, Suprnova)

84414071716834080491970289907153501464741862407878851847399734783246258642352642375539837162748177286519
* 467# + 701889794782061 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (300 digits, 22 Aug 2021, PrimaPoolSolo)

430061778951827417546738838857360212167551682428306024386449183491111016823021766733709988503169789862916
* 463# + 76075560855383 + d, 0, 6, 8, 14, 18, 20, 24, 26 (298 digits, 22 Aug 2021, Suprnova)

58601842540079738213423040338986033840843606662875522270415999996121347480893422063201920415505453320956668121
* 457# + 980125031081081 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (298 digits, 22 Aug 2021, PrimaPoolSolo)

13445129483076831776879668667126924653719927344389197934344708782916844562826159383097747236770844504282991
* 467# + 980125031081081 + d , d = 0, 2, 6, 8, 12, 18, 20, 26 (302 digits, 22 Aug 2021, #1567173, Suprnova)

6906530913807107618746553985178874306453389164948020895483633515626362605252139055492044931282748833678120293
* 467# + 2325810733931801 + d , d = 0, 2, 6, 8, 12, 18, 20, 26 (305 digits, 22 Aug 2021, #1567265, PrimaPoolSolo)

857102714401291321747215142362839471354082701279376732604183515709764289908086764114487474405626488688705735862631
*457# + 114355384736051 + d , d = 0, 2, 6, 8, 12, 18, 20, 26 (302 digits, 21 Aug 2021, ric1q2ryj3e2dwxzc6jc8kw94te5rsacuyag556zvcd)

99852720003486908985920576060022292734444335215737143674166366804523967920443149768132168626265427179517285486
*461 + 114521428533971 , d = 0, 2, 6, 8, 12, 18, 20, 26 (301 digits, 21 Aug 2021, ProtonPool)

121234078409927149034019206958790573974019543760792101928469116523098424880257116547389250193358233179853793
* 463# + 27899359258013 + d, 0, 6, 8, 14, 18, 20, 24, 26 (300 digits, 21 Aug 2021, ric1qf9defee7d4m4vadfrfjfy8htdtr5ds9023hwyq)

26227238784871163637095541146911600516052278838834037669530325952391049667297607595870687275759883761122
* 467# + 114023297140211 + d , d = 0, 2, 6, 8, 12, 18, 20, 26 (299 digits, 21 Aug 2021,ric1q58f9fqgfsyr3wwk5ug7jrhphuuguudprexf7d4)

1711011777785160599067234622638781509895278111931696713099005133053411886961921834445833530679730493242889996
*461# + 380284918609481 + d , d = 0, 2, 6, 8, 12, 18, 20, 26 (299 digits, 21 Aug 2021, Suprnova)

198104395534237119516791075696152556038465142433937232553128267349856083531682685835199831752115900831
*467# + 114355384736051 + d , d = 0, 2, 6, 8, 12, 18, 20, 26 (297 digits, 21 Aug 2021, ProtonPool)

1620259924615470570706663156278905026372754732844252658390408090245313172792664271166384219300680488342402961778
* 449# + 1487854607298791 + d , d = 0, 2, 6, 8, 12, 18, 20, 26 (296 digits, 21 Aug 2021, PrimaPool)

853818136805367708961480843983941403760330439259599953492143230663907872202287691217167387229054049480062482613
* 449# + 437163765888581 + d , d = 0, 2, 6, 8, 12, 18, 20, 26 (296 digits, 21 Aug 2021, Chainworksindustries)

489516624745383208515417202308640899517331235273897854486465620308841457174762549553091969336407545398127220436
* 449# + 437163765888581 + d , d = 0, 2, 6, 8, 12, 18, 20, 26 (296 digits, 21 Aug 2021, Suprnova)

433063511740468869548735213334206031445205441259727258124606410527127158640690244303985073094877035805040084098
* 449# + 345120905374103 + d, 0, 6, 8, 14, 18, 20, 24, 26 (296 digits, 21 Aug 2021, Suprnova)

Prime 6-tuplet

(smallest with 600 digits)
10599 + 314360191056418137 + d, d = 0, 4, 6, 10, 12, 16 (600 digits, 20 Aug 2021, Norman Luhn)

Twin Primes

17976255129 * 2183241 ± 1 (55172 digits, May 2021, Frank Doornink, TwinGen, OpenPFGW)

Handing over from Tony Forbes

June 2021

Prime 20-tuplet

(NEW RECORD!)
1236637204227022808686214288579 + d, d = 0, 2, 8, 12, 14, 18, 24, 30, 32, 38, 42, 44, 50, 54, 60, 68, 72, 74, 78, 80
(31 digits, May 23, 2021, Raanan Chermoni & Jaroslaw Wroblewski)

Prime 9-tuplet

(NEW RECORD!)
1712614057442769844303829275179903227939212023517518611133550038875063021572377776139492086991109134537768
* 421# + 980125031081081 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (277 digits, 29 May 2021, XpoolX)

6616022184097222614022380770890556689040772304832078213536970036538738519759031878588550223823046887
* 409# + 437163765888581 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (267 digits, 22 May 2021, XpoolX)

60 0655990435013484925215537995025490937883518659455886375786941368048031982994793132628369636851519027
* 401# + 701889794782061 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (266 digits, 01 May 2021, Suprnova)

218 35722977202308313590097241777421011879112635152949 76358043264898170326365943244347564793366086140266
* 397# + 1277156391416021 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (264 digits, 17 May 2021, PrimaPool)

34838785312145864900817938369613376631817568392963505902067913510453141649847518582456424344347357754742
* 383# + 437163765888581 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (260 digits, 23 Apr 2021, ric1qmstmv36kuthe7xu4dxzhz6jwnk27t4xqtvmqfa)

24481975760318330455638678663837952859621268991918113342032150939302877507639213478752614572807
* 401# + 226193845148629 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30 (258 digits, 09 May 2021, Pttn)

6309 2191232780879674495293963399774622600081733225629331799182311085295909231723068059035832331092803319
* 379# + 437163765888581 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (258 digits, 06 May 2021, XpoolX)

305050676720888014079522683676006730673385627491979965295066581348929079873313258875248946926733351
* 383# + 380284918609481 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (255 digits, 06 May 2021, PrimaPool)

696383979459503465792778053426007897603778833143527866570574855127452541573990000208963455191492119007079
* 359# + 701889794782061 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (251 digits, 16 Apr 2021, TomB)

Prime 8-tuplet

56026665411357365380725603942115909571668674423088748782355514929545904535010555909219571677274687952903198
* 431# + 1418575498583 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 (281 digits, 29 May 2021, PrimaPool)

492131121740193681110352615635211372787086737403302331946846916505063641420547506943834266263728517203001
* 431# + 235520915372201 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (279 digits, 29 May 2021, ric1qdekpf4v3lwhfu2apasq4metfuuu35q4keu5prq)

17273171946835753469518680256695909083782380648725009209675910868709024745855633473508971497256694964580562010
* 419# + 226374233346623 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 (279 digits, 29 May 2021, PrimaPool)

797289838032055157290268740884133012807644469800381838535408958174313617814919077117774769636
* 449# + 114189340938131 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (278 digits, 25 May 2021, Pttn)

190691452886 6072407520712403455912790445584673477480110391115131600178350904532358406293408041601503459947335601
* 409# + 226554621544613 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 (278 digits, 31 May 2021, PrimaPool)

3361563468520950210329949643274367210732009649578751959655486658770545087397881480698253776672526729812074
* 421# + 114023297140211 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (277 digits, 25 May 2021, PrimaPool)

434141287542136307885522043589291440948827199821836040830352302979909931330843256806773392894057481877865551107
* 409# + 226554621544613 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 (277 digits, 29 May 2021, XpoolX)

Prime Triplet

(The smallest 3000, 4000 and 5000 digit proven prime triplets. Certificates was uploaded to factordb.com)
102999 + 25740029131 + d, d = 0, 2, 6 (3000 digits, May 2021, Norman Luhn)
102999 + 37274603937 + d, d = 0, 4, 6 (3000 digits, May 2021, Norman Luhn)
103999 + 182402621497 + d, d = 0, 2, 6 (4000 digits, May 2021, Norman Luhn)
103999 + 243095638113 + d, d = 0, 4, 6 (4000 digits, May 2021, Norman Luhn)
104999 + 70852892827 + d, d = 0, 2, 6 (5000 digits, May 2021, Norman Luhn)
104999 + 244793127627 + d, d = 0, 4, 6 (5000 digits, May 2021, Norman Luhn)

April 2021

Prime 15-tuplet

(The smallest with 30-digit and each pattern)
100000001341915517111319670637 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56 (30 digits, Apr 2021, Norman Luhn)
100000001651438068367136632687 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56 (30 digits, Apr 2021, Norman Luhn)
100000008317726120972779285703 + d, d = 0, 6, 8, 14, 20, 24, 26, 30, 36, 38, 44, 48, 50, 54, 56 (30 digits, Apr 2021, Norman Luhn)
100000005745569203832854981801 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50, 56 (30 digits, Apr 2021, Norman Luhn)

Prime 9-tuplet

(NEW RECORD!)
22155746670321555200168732483559041439782078981076434573266849483171717294207993515336980845763232977257432862782607440
* 313# + 855709 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30 (247 digits, 10 Apr 2021, ric1quau6a3z8qu4ar204pwgz2vdndyta455vsn99lq)

157687898259168247659322864630330877244363006569290375362793747224209093455299633188624996764587832200036071
* 347# + 437163765888581 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (246 digits, 10 Apr 2021, ric1qz4cjxt2vvje35mfk85tdl3lf3xffq7p70admfm)

251158041496152107346307787633268256718284392720151793261635788053028333576682615819341450443970
* 347# + 855709 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30 (234 digits, 30 Mar 2021, ric1qp8w3x4nzq6fg5s3nk8r6hkrwcq3sr38tw6scs3)

(The smallest with 101-digit and each pattern)
10100 + 715673142884481067 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30 (101 digits, Apr 2021, Norman Luhn)
10100 + 176872574833767633 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30 (101 digits, Apr 2021, Norman Luhn)
10100 + 426534752174683621 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (101 digits, Apr 2021, Norman Luhn)
10100 + 1165893539316503169 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30 (101 digits, Apr 2021, Norman Luhn)

Prime 8-tuplet

5669579343877567588662867281828624908106459757948774935471729173742601730954612966130436450660208024251652599
* 367# + 437163765888581 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (257 digits, 05 Apr 2021, ric1quau6a3z8qu4ar204pwgz2vdndyta455vsn99lq)

308316050376571041706345515762607631581544018365390535956850877877792067318698516316134777684103680311943675
* 367# + 1146773 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 (256 digits, 05 Apr 2021, ric1quau6a3z8qu4ar204pwgz2vdndyta455vsn99lq)

3813609649621240197693419538656539466535439309514373505844195613740603392739137313764315463016516480
4652062678870255864628344457752757987524975076311301549039397525064549930467201523301644383054668993
1187843358297347212784087050308628262234355875989849971 + d, d = 0, 2, 6,8, 12, 18, 20, 26 (255 digits, 05 Apr 2021,ric1quau6a3z8qu4ar204pwgz2vdndyta455vsn99lq)

50347200885460169280773067575525031316767339705391497779308581428034944822699756866737727164657677695480
89213162971784440228468271476069842988436925888061018998040788404139219294202095465564521335869106411887
4830805258955379364823114679157522511533435621 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (254 digits, 04 Apr 2021,ric1quau6a3z8qu4ar204pwgz2vdndyta455vsn99lq)

319838536919913807824656930931348380047080775785595333018945738911665531345947322559229245533058585378416388
* 359# + 74266253 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 (254 digits, 07 Apr 2021, ric1q47qw76nrc606ueak5m4wzms9u87ueftc6lsesp)

103776345808201145469789527715230883320666310058133916209108197252370462757239210706422204771544111190002409
* 359# + 1277156391416021 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (253 digits, 05 Apr 2021, ric1qp8w3x4nzq6fg5s3nk8r6hkrwcq3sr38tw6scs3)

32273830719882381414009144320736886424041454401548705882984439658156560846662543890209688994888617070014513312
* 353# + 3360877662097841 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (253 digits, 04 Apr 2021, ric1qf9defee7d4m4vadfrfjfy8htdtr5ds9023hwyq)

127047241962525441539790033945693086250558645547108651982008615478003292329382327312421624888945846506192
* 367# + 380284918609481 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (253 digits, 13 Apr 2021, RSoTqUcauJewHZYmPnM8w3p1LVcV5C2Fh1)

295547751962844205472853978135656874025157913948377353705287862391139125839802773942920435931881509866
* 373# + 1146773 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 (253 digits, 06 Apr 2021, ric1quau6a3z8qu4ar204pwgz2vdndyta455vsn99lq)

102464597592324551243684921358211962235132075446376317174301840042129912947563118664521065080168942747445
* 367# + 2325810733931801 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (253 digits, 06 Apr 2021, ric1qkzm5qfppw8n7m404j9t3t22xkvsjf39rfsjl7x)

... and many more

March 2021

Prime 14-tuplet

(smallest with 40 digits to given pattern)
1000000000000000000349508508460276218889 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48, 50 (40 digits, 10 Mar 2021, Norman Luhn)

Prime 13-tuplet

(smallest with 40 digits to given pattern)
1000000000000000002713562652524314606953 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (40 digits, 10 Mar 2021, Norman Luhn)
1000000000000000002334523699629280598673 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36, 46, 48 (40 digits, 10 Mar 2021, Norman Luhn)
1000000000000000000368816080526066037739 + d, d = 0, 2, 12, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (40 digits, 10 Mar 2021, Norman Luhn)
1000000000000000000349508508460276218891 + d, d = 0, 6, 12, 16, 18, 22, 28, 30, 36, 40, 42, 46, 48 (40 digits, 10 Mar 2021, Norman Luhn)
1000000000000000000349508508460276218889 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (40 digits, 10 Mar 2021, Norman Luhn)
1000000000000000000282197071067938130221 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 (40 digits, 10 Mar 2021, Norman Luhn)

Prime 12-tuplet

(smallest with 50 digits to given pattern)
10000000000000000000000000000929532973818094710897 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 (50 digits, 24 Feb 2021, Norman Luhn)
10000000000000000000000000000896396147387349765031 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (50 digits, 24 Feb 2021, Norman Luhn)

Prime 8-tuplet

(NEW RECORD!)
6879356578124627875380298699944709053335 * 677# + 980125031081081 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (324 digits, 12 Mar 2021, Michalis Christou)

February 2021

Prime 17-tuplet

(NEW RECORD!)
150048143328514263089612453401301 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66 (33 digits, 5 Feb 2021, Roger Thompson)

Prime 16-tuplet

302458608131364933637125192102583 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (33 digits, 5 Feb 2021, Roger Thompson)

(Smallest with 25 digits and each pattern)
1015074281315414986743013 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 (25 digits, 5 Feb 2021, Norman Luhn)
1008037335701436528651167 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 (25 digits, 5 Feb 2021, Norman Luhn)

Prime 14-tuplet

(Smallest with 35 digits and each pattern)
10000000000001275924044876917671361 + d, d = 00, 02, 06, 08, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 (35 digits, 5 Feb 2021, Norman Luhn)
10000000000009283441665311798539399 + d, d = 00, 02, 08, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48, 50 (35 digits, 5 Feb 2021, Norman Luhn)

Prime 13-tuplet

(Smallest with 35 digits and each pattern)
10000000000000325778825790175217703 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 36, 46, 48 (35 digits, 5 Feb 2021, Norman Luhn)
10000000000000324000701496110723931 + d, d = 0, 6, 12, 16, 18, 22, 28, 30, 36, 40, 42, 46, 48 (35 digits, 5 Feb 2021, Norman Luhn)
10000000000000108412629077454977119 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (35 digits, 5 Feb 2021, Norman Luhn)
10000000000000094989640220894283993 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 (35 digits, 5 Feb 2021, Norman Luhn)
10000000000000054122451329461300669 + d, d = 0, 2, 12, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 (35 digits, 5 Feb 2021, Norman Luhn)
10000000000000015141548551355951851 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 (35 digits, 5 Feb 2021, Norman Luhn)

Prime 7-tuplet

(NEW RECORD!)
( FIRST KNOWN TITANIC PRIME SEPTUPLET !!!)
113225039190926127209 * 2339# / 57057 + 1 + d, d = 0, 2, 6, 8, 12, 18, 20 (1002 digits, 27 Jan 2021, Peter Kaiser)

January 2021

Prime 20-tuplet

(NEW RECORD!)
1188350591359110800209379560799 + d, d = 0, 2, 8, 12, 14, 18, 24, 30, 32, 38, 42, 44, 50, 54, 60, 68, 72, 74, 78, 80
(31 digits, January 21, 2021, Raanan Chermoni & Jaroslaw Wroblewski)

Prime 8-tuplet

(Smallest with 150 digits and each pattern)
10149 + 177107310312127411 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (150 digits, January 2021, Norman Luhn)
10149 + 883945334707753267 + d, d = 0, 2, 6, 12, 14, 20, 24, 26 (150 digits, January 2021, Norman Luhn)
10149 + 935628779313782743 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 (150 digits, January 2021, Norman Luhn)

Prime Quintuplet

(NEW RECORD!)
566761969187 * 4733# / 2 -8 + d, d = 0, 4, 6, 10, 12 (2034 digits, from 6 Dec 2020, Serge Batalov, NEWPGEN, OPENPFGW, PRIMO)