The Largest Known Prime ~
Twins Triplets Quadruplets Quintuplets Sextuplets Septuplets Octuplets Nonuplets 10-tuplets 11-tuplets
12-tuplets 13-tuplets 14-tuplets 15-tuplets 16-tuplets 17-tuplets 18-tuplets 19-tuplets 20-tuplets 21-tuplets


Rank The Largest Known Twin Primes Digits When Additions
1 2996863034895 • 21290000 ± 1
* first known with more than 300000 decimal digits 		388342 19 Sep 2016 Tom Greer, TwinGen, PrimeGrid, LLR
2 3756801695685 • 2666669 ± 1
* first known with more than 200000 decimal digits 		200700 26 Dec 2011 Timothy Winslow, TwinGen, PrimeGrid, LLR
3 152748736824915 • 2480480 ± 1 144654 10 Jan 2026 Daniel Brockwell, Göran Schmidt, TwinGen, NewPGen, TPS, PRST
4 66982155216384 − 6698215528192 ± 1 144605 26 Apr 2024 Roman Trunov; Cyclo; PRST
5 22271030616384 − 2227103068192 ± 1 136770 29 Mar 2024 Bruce Marler; Cyclo; PRST
6 9955858992 • 11111111 ± 1 115721 4 Apr 2025 Göran Schmidt, NewPGen, PRST
7 15898321815 • 2333645 ± 1 100448 23 Jun 2025 Serge Batalov, NewPGen, OpenPFGW
8 65516468355 • 2333333 ± 1
* first known with more than 100000 decimal digits 		100355 15 Aug 2009 Peter Kaiser, NewPGen, PrimeGrid, TPS, LLR
9 1867513233  • 2266698 ± 1 80294 15 May 2025 Bo Tornberg, TwinGen, LLR
10 201926367 • 2266668 ± 1 80284 6 May 2024 Göran Schmidt, NewPGen, PRST
More Twin Primes


Rank The Largest Known Prime Triplets Digits When Additions Certificates
1 4404139952163 • 267002 − 5 + d, d = 0, 4, 6
* first known with more than 20000 decimal digits to given pattern 		20183 11 Jul 2024 Serge Batalov, PolySieve, OpenPFGW, CM
2 4111286921397 • 266420 − 1 + d, d = 0, 2, 6
* first known with more than 20000 decimal digits to given pattern 		20008 24 Apr 2019 Peter Kaiser, PolySieve, LLR, Primo
3 6521953289619 • 255555 − 5 + d, d = 0, 4, 6 16737 30 Apr 2013 Peter Kaiser
4 56667641271 • 244441 − 1 + d, d = 0, 2, 6 13389 1 Apr 2022 Stephan Schöler, NewPGen, OpenPFGW; Oliver Kruse, Primo
5 4207993863 • 238624 − 1 + d, d = 0, 2, 6 11637 5 Jun 2021 Frank Doornink, NewPGen, LLR, Primo
6 14059969053 • 236672 − 5 + d, d = 0, 4, 6 11050 17 Jun 2018 Serge Batalov, NewPGen, OpenPFGW, Primo
7 3221449497221499 • 234567 − 1 + d, d = 0, 2, 6 10422 2 Sep 2015 Peter Kaiser, NewPGen, LLR, OpenPFGW, Primo
8 1288726869465789 • 234567 − 5 + d, d = 0, 4, 6 10421 23 Apr 2014 Peter Kaiser, Primo
9 647935598824239 • 233619 − 1 + d, d = 0, 2, 6 10136 22 May 2019 Peter Kaiser, Primo
10 209102639346537 • 233620 − 1 + d, d = 0, 2, 6 10135 22 May 2019 Peter Kaiser, Primo
More Prime Triplets


Rank The Largest Known Primes Quadruplets Digits When Additions Certificates
1 667674063382677 • 233608 − 1 + d, d = 0, 2, 6, 8
* first known with more than 10000 decimal digits 		10132 27 Feb 2019 Peter Kaiser, Primo
2 4122429552750669 • 216567 − 1 + d, d = 0, 2, 6, 8
* first known with more than 5000 decimal digits 		5003 10 Mar 2016 Peter Kaiser, GSIEVE, NewPGen, LLR, Primo
3 (1049713153083 • 2917# • (567 • 2917# + 1) + 11#) • (567 • 2917# − 1) / 7# + 1 + d, d = 0, 2, 6, 8 3753 22 Jul 2023 Ken Davis, APTreeSieve, OpenPFGW, Primo
4 101406820312263 • 212042 − 1 + d, d = 0, 2, 6, 8 3640 13 Jun 2018 Serge Batalov, OpenPFGW, NewPGen, Primo
5 2673092556681 • 153048 − 4 + d, d = 0, 2, 6, 8 3598 14 Sep 2015 Serge Batalov, OpenPFGW, NewPGen, Primo
6 2339662057597 • 103490 + 1 + d, d = 0, 2, 6, 8 3503 21 Dec 2013 Serge Batalov, OpenPFGW, NewPGen, Primo
7 305136484659 • 211399 − 1 + d, d = 0, 2, 6, 8 3443 28 Sep 2013 Serge Batalov, OpenPFGW, NewPGen, Primo
8 722047383902589 • 211111 − 1 + d, d = 0, 2, 6, 8 3360 20 Apr 2013 Reto Keiser, NewPGen, OpenPFGW, Primo
9 585150568069684836 • 7757# / 85085 + 5 + d, d = 0, 2, 6, 8 3344 6 Mar 2022 Peter Kaiser, OpenPFGW, Primo
10 43697976428649 • 29999 − 1 + d, d = 0, 2, 6, 8
* first known with more than 3000 decimal digits 		3024 24 Mar 2012 Peter Kaiser, Primo 3.0.9
More Prime Quadruplets


Rank The Largest Known Primes Quintuplets Digits When Additions Certificates
1 585150568069684836 • 7757# / 85085 + 5 + d, d = 0, 2, 6, 8, 12
* first known with more than 3000 digits to given pattern 		3344 6 Mar 2022 Peter Kaiser, OpenPFGW, Primo
2 566761969187 • 4733# / 2 − 8 + d, d = 0, 4, 6, 10, 12
* first known with more than 2000 digits to given pattern 		2034 6 Dec 2020 Serge Batalov, NewPGen, OpenPFGW, Primo
3 126831252923413 • 4657# / 273 + 1 + d, d = 0, 2, 6, 8, 12
 * first known with more than 2000 digits to given pattern 		2002 8 Nov 2020 Peter Kaiser, Primo
4 394254311495 • 3733# / 2 − 8 + d, d = 0, 4, 6, 10, 12 1606 30 Nov 2017 Serge Batalov, NewPGen, OpenPFGW, Primo
5 2316765173284 • 3593# + 16061 + d, d = 0, 2, 6, 8, 12 1543 16 Oct 2016 Norman Luhn, Primo
6 163252711105 • 3371# / 2 − 8 + d, d = 0, 4, 6, 10, 12 1443 1 Jan 2014 Serge Batalov, OpenPFGW, NewPGen, Primo
7 9039840848561 • 3299# / 35 − 5 + d, d = 0, 4, 6, 10, 12 1401 28 Dec 2013 Serge Batalov, OpenPFGW, NewPGen, Primo
8 699549860111847 • 24244 − 1 + d, d = 0, 2, 6, 8, 12 1293 3 Dec 2013 Reto Keiser, R. Gerbicz, OpenPFGW, Primo
9 101199 + 20483870459152351 + d, d = 0, 2, 6, 8, 12
* smallest with 1200 decimal digits to given pattern 		1200 3 Mar 2023 Norman Luhn, OpenPFGW, Primo 3.0.9
10 101199 + 7033048489975137 + d, d = 0, 4, 6, 10, 12
* smallest with 1200 decimal digits to given pattern 		1200 17 Mar 2023 Norman Luhn, OpenPFGW, Primo 3.0.9
More Prime Quintuplets


Rank The Largest Known Primes Sextuplets Digits When Additions Certificates
1 23700 + 33888977692820810260792517451 + d, d = 0, 4, 6, 10, 12, 16 1114 8 Nov 2021 Vidar Nakling, Primo, Sixfinder
( based on Riecoin miners )
2 28993093368077 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12, 16
* first known with more than 1000 decimal digits 		1037 14 Mar 2016 Norman Luhn, APSIEVE, Primo
3 6646873760397777881866826327962099685830865900246688640856 • 1699# + 43777 + d, d = 0, 4, 6, 10, 12, 16 780 8 Nov 2018 Vidar Nakling, Primo -
4 29720510172503062360713760607985203309940766118866743491802189150471978534404249 • 22299 +
14271253084334081637544486111223831073612730979632132919368177563415768349505 + d, d = 0, 4, 6, 10, 12, 16		 772 28 Jan 2018 Riecoin #822096 -
5 29749903422302373222996698880833194129159047179535887991184960156219652236318921 • 22293 +
679631792885016654160023247517239700227428004849763556497260661860592843345 + d, d = 0, 4, 6, 10, 12, 16		 770 28 Sep 2017 Riecoin #793872 -
6 29696802688480280387313212926526693549449146292085717645262228449092881114972806 • 22290 +
1946690158750077943506249776690378666457458353296002764327070450442847661633 + d, d = 0, 4, 6, 10, 12, 16		 769 25 Feb 2018 Riecoin #838224 -
7 29744205023784420961031622414734790416939049568996819659808238403983863222665068 • 22288 +
14305894933680691041378655981062938998356035914288745998258984615535179477709 + d, d = 0, 4, 6, 10, 12, 16		 769 18 Feb 2018 Riecoin #834192 -
8 29707412718946949415029080194980493978605678414396606766712262274235284928962561 • 22278 +
21774293793439586643674306888881718167342014062406478752847391700510857054773 + d, d = 0, 4, 6, 10, 12, 16		 766 14 Jan 2018 Riecoin #814032 -
9 29696978890366869883141509418765838581871522982358338407613039711378021084519043 • 22259 +
24152316155470595374357736963765392505702343434016117070743766886456802014213 + d, d = 0, 4, 6, 10, 12, 16		 766 31 Dec 2017 Riecoin #805968 -
10 29691575669072177222494655186416928710256802541243921484227880404600991044790342 • 22259 +
22953847913844494543791161053509719129919186139904030102712344430311343318911 + d, d = 0, 4, 6, 10, 12, 16		 760 16 Dec 2017 Riecoin #797904 -
More Prime Sextuplets


Rank The Largest Known Primes Septuplets Digits When Additions Certificates
1 113225039190926127209 • 2339# / 57057 + 1 + d, d = 0, 2, 6, 8, 12, 18, 20
* first known with more than 1000 decimal digits to given pattern 		1002 27 Jan 2021 Peter Kaiser
2 3282186887886020104563334103168841560140170122832878265333984717524446848642006351778066196724473
9224962020153653925994202321897236902676229040360901005487309186655777663859063397693729163631275766
0779987530903845763711693853827939526026506444774774261236889041020217108597484837589978261046949778
7199182516499466558387976965904497393971453496036241885200541893611077817261813672809971503287259089
• 317# + 1068701 + d, d = 0, 2, 6, 8, 12, 18, 20		 527 16 Jun 2019 Vidar Nakling,
rieMiner 0.9, Primo		 -
3 115828580393941 • 1193# + 5132201 + d, d = 0, 2, 6, 8, 12, 18, 20
* first known with more than 500 decimal digits to given pattern 		515 18 Jan 2018 Norman Luhn, Primo -
4 1749454900366668261124366444904767913042 • 1051# + 235367427477641 + d, d = 0, 2, 6, 8, 12, 18, 20 482 10 Sep 2023 Michalis Christou, rieMiner -
5 1749440332764626179112277073423987083854 • 1051# + 114023297140211 + d, d = 0, 2, 6, 8, 12, 18, 20 482 10 Sep 2023 Michalis Christou, rieMiner -
6 1785036139318226774335532641427159030322 • 991# + 145933845312371 + d, d = 0, 2, 6, 8, 12, 18, 20 452 10 Sep 2023 Michalis Christou, rieMiner -
7 21785707448593894561526821369175835433833034272256489767522329432871964455103369960984967176336
• 821# + 220503269602151 + d, d = 0, 2, 6, 8, 12, 18, 20		 433 7 Oct 2025 Riecoin #2437961 -
8 610139672968795411592128726798146771489981610168397085479194709850728720409974982163359186437
• 809# + 145844141558231 + d, d = 0, 2, 6, 8, 12, 18, 20		 426 10 Nov 2025 Riecoin #2457709 -
9 3445020489433457799959159547496689734925129107775277656606178060036383520889305142808395735128
• 797# + 114023297140211 + d, d = 0, 2, 6, 8, 12, 18, 20		 424 19 Nov 2025 Riecoin #2462703 -
10 138984980281563518035515707062236591549757180393695416346798282522807346041888981515184158143659
• 787# + 114023297140211 + d, d = 0, 2, 6, 8, 12, 18, 20		 422 2 Nov 2025 Riecoin #2452893 -
More Prime Septuplets


Rank The Largest Known Primes Octuplets Digits When Additions
1 362079385668757696008683096558661746463 • 863# + 114023297140211 + d, d = 0, 2, 6, 8, 12, 18, 20, 26
* first known with more than 400 decimal digits to given pattern 		401 10 Sep 2023 Michalis Christou, rieMiner 0.93a
2 17823192282008874449172703428792123231110 • 771# + 145933845312371 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 362 12 Jan 2023 Michalis Christou, rieMiner
3 16229706264270115134148703965102289631535904262030737299228638453161919499932395892617576463816531010043746
• 577# + 226193845148633 + d, d = 0, 6, 8, 14, 18, 20, 24, 26		 343 8 Dec 2025 Riecoin #2473980
4 118615097525553958017702163023656923708193769276915904172466608650684465352596583306912516791856477092
• 577# + 114023297140211 + d, d = 0, 2, 6, 8, 12, 18, 20, 26		 338 8 Dec 2025 Riecoin #2473988
5 7720907131340657369572146254365647539827530870004211960959717875946518876830286676200030013094091898336
• 569# + 942614568933881 + d, d = 0, 2, 6, 8, 12, 18, 20, 26		 334 8 Dec 2025 Riecoin #2473882
6 11907810013392212331728457387499522595116959408498779116743428475883541612372758895011574583621
• 587# + 220469307413891 + d, d = 0, 2, 6, 8, 12, 18, 20, 26		 334 8 Dec 2025 Riecoin #2474039
7 531258360785860208657753 • 757# / 1768767 + 1 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 333 30 Sep 2022 Peter Kaiser, Primo
8 530956818040688210255681 • 757# / 1768767 + 1 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 333 30 Sep 2022 Peter Kaiser, Primo
9 92175022423284809632400789040316752409462518374695467720359668210482798186945997322177905379124966256003161
• 557# + 1551874222066781 + d, d = 0, 2, 6, 8, 12, 18, 20, 26		 333 9 Dec 2025 Riecoin #2474129
10 697723422149271424870176724491962624555 • 701# + 145888993435301 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 332 28 Apr 2022 Michalis Christou, rieMiner 0.91
More Prime Octuplets
Prime Octuplets, found by Riecoin



Rank The Largest Known Primes Nonuplets Digits When Additions
1 7913805730685155273525416643676380861078862065429627716969684739257619494219023575563868761880
• 541# + 353544053775371 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30		 314 28 Nov 2025 Riecoin #2468017
2 3066546496865671431270866422370533174144916858564597517847298836468987331829097727169240388706159
• 523# + 353247262660751 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30		 314 21 Nov 2025 Riecoin #2463799
3 167246716612896520074545735749165120598400537818062913646885152544626758547188374593953866510009613328
• 509# + 353692449332681 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30		 313 23 Oct 2025 Riecoin #2447007
4 182075127245948453356763852678412657384571384320476086323955359028566228121357180020362596219
• 541# + 145933845312371 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30		 312 22 Apr 2023 Riecoin #1918654
5 6981459541055817191260362842479625063402912945070015867718881817316331990854697141515826226327285164890
• 503# + 301713410008249 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30		 312 7 May 2023 Riecoin #1926945
6 720447055170751336031955483691921296915399248431306649643516413623361612906217481534935259073525839
• 509# + 226193845148629 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30		 311 18 Nov 2025 Riecoin #2462465
7 629890765169303956463203674344921136457914174210975896062738680394230709899644451651443737728
• 523# + 295565457422351 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30		 310 6 Feb 2025 Riecoin #2297494
8 232419521557645481135590351622784242665787702180336807858480405171833045030126672414993707
• 541# + 235367427477641 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30		 310 30 Apr 2025 Riecoin #2345662
9 7620229574837377603687519001462575679324290703538353038451014140653366016375223441137843726785037341
• 503# + 220469307413891 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30		 309 16 Feb 2022 Riecoin #1669866
10 1019798582632338394076105053210508851392962816307091970137493574265559200180882377733723233784599113386
• 499# + 145933845312371 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30		 309 1 May 2025 Riecoin #2345904
More Prime Nonuplets
Prime Nonuplets, found by Riecoin


Rank The Largest Known Primes 10-tuplets Digits When Additions
1 14315614956030418747867488895208199566750873528908316976274174208238191434937011407287479676495550
• 449# + 226554621544607 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 32
* first known with more than 200 decimal digits to given pattern 		282 12 Sep 2021 Riecoin #1579367
2 290901656335108169864195656135043662615199446375386143995339722400236057821426952579658098504166333411889
• 401# + 380284918609481 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32
* first known with more than 200 decimal digits to given pattern 		269 27 Jul 2021 Riecoin #1551825
3 14257429881902877844339877915045298096140599288873476083093543949692946630381247693511330479634493
• 367# + 114189340938131 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32		 246 18 Aug 2022 Riecoin #1775788
4 33521646378383216495527 • 331# + 4700094892301 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 156 4 Apr 2020 Thomas Nguyen,
rieMiner 0.91, MPZ-APRCL
5 772556746441918 • 293# + 29247917 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 32 136 9 Feb 2017 Norman Luhn
6 7425 • 281# + 471487291717627721 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 120 27 May 2016 Roger Thompson
7 118557188915212 • 257# + 25658441 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 118 27 Jun 2014 Norman Luhn
8 13243795731372733191902494675154142263612189966992593522251560981597803197621024152571147501
+ 53586844409797545 • 229# + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32		 108 23 Sep 2019 Peter Kaiser, David Stevens,
Polysieve, OpenPFGW, Primo
9 13243795731372733191902494675154142263612189966992593522251560981597803197621024152571147501
+ 51143234991402697 • 229# + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32		 108 23 Sep 2019 Peter Kaiser, David Stevens,
Polysieve, OpenPFGW, Primo
10 13243795731372733191902494675154142263612189966992593522251560981597803197621024152571147501
+ 50679161987995696 • 229# + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32		 108 23 Sep 2019 Peter Kaiser, David Stevens,
Polysieve, OpenPFGW, Primo
More Prime 10-tuplets


Rank The Largest Known Primes 11-tuplets Digits When Additions
1 13243795731372733191902494675154142263612189966992593522251560981597803197621024152571147501
+ 49376500222690335 • 229# + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36		 108 23 Sep 2019 Peter Kaiser, David Stevens,
Polysieve, OpenPFGW, Primo
2 13243795731372733191902494675154142263612189966992593522251560981597803197621024152571147501
+ 46622982649030457 • 229# + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36		 108 23 Sep 2019 Peter Kaiser, David Stevens,
Polysieve, OpenPFGW, Primo
3 13243795731372733191902494675154142263612189966992593522251560981597803197621024152571147501
+ 30796489110940369 • 229# + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36		 108 23 Sep 2019 Peter Kaiser, David Stevens,
Polysieve, OpenPFGW, Primo
4 13243795731372733191902494675154142263612189966992593522251560981597803197621024152571147501
+ 27407861785763183 • 229# + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36		 108 23 Sep 2019 Peter Kaiser, David Stevens,
Polysieve, OpenPFGW, Primo
5 13243795731372733191902494675154142263612189966992593522251560981597803197621024152571147501
+ 20731977215353082 • 229# + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36		 108 23 Sep 2019 Peter Kaiser, David Stevens,
Polysieve, OpenPFGW, Primo
6 13243795731372733191902494675154142263612189966992593522251560981597803197621024152571147501
+ 20118509988610513 • 229# + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36		 108 23 Sep 2019 Peter Kaiser, David Stevens,
Polysieve, OpenPFGW, Primo
7 13243795731372733191902494675154142263612189966992593522251560981597803197621024152571147501
+ 15866045335517629 • 229# + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36		 108 23 Sep 2019 Peter Kaiser, David Stevens,
Polysieve, OpenPFGW, Primo
8 13243795731372733191902494675154142263612189966992593522251560981597803197621024152571147501
+ 5238271627884665 • 229# + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36		 107 23 Sep 2019 Peter Kaiser, David Stevens,
Polysieve, OpenPFGW, Primo
9 13243795731372733191902494675154142263612189966992593522251560981597803197621024152571147501
+ 4471872451082759 • 229# + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36		 107 28 May 2019 Peter Kaiser, David Stevens,
Polysieve, OpenPFGW, Primo
10 13243795731372733191902494675154142263612189966992593522251560981597803197621024152571147501
+ 1296173254392493 • 229# + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36		 107 23 Sep 2019 Peter Kaiser, David Stevens,
Polysieve, OpenPFGW, Primo
More Prime 11-tuplets


Rank The Largest Known Primes 12-tuplets Digits When Additions
1 13243795731372733191902494675154142263612189966992593522251560981597803197621024152571147501
+ 27407861785763183 • 229# + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42
* first known with more than 100 decimal digits to given pattern 		108 23 Sep 2019 Peter Kaiser, David Stevens,
Polysieve, OpenPFGW, Primo
2 613176722801194 • 151# + 177321217 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42 75 30 Sep 2014 Michael Stocker, Primo
3 467756 • 151# + 193828829641176461 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 66 20 May 2014 Roger Thompson
4 9985637467 • 139# + 3629868888791261 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 66 1 Oct 2021 Roger Thompson
5 9985397181 • 139# + 249386599747880711 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 66 1 Oct 2021 Roger Thompson
6 59125383480754 • 113# + 12455557957 + d, d = 0, 6, 10, 12, 16, 22, 24, 30, 34, 36, 40, 42
* first known with more than 50 decimal digits to given pattern 		61 9 Sep 2013 Michael Stocker
7 78989413043158 • 109# + 38458151 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42
* first known with more than 50 decimal digits to given pattern 		59 18 Jan 2010 Norman Luhn
8 1454135114 • 113# + 9546491279441 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 56 2 Dec 2024 Martin Raab
9 450725899 • 113# + 1748520218561 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 56 4 Nov 2014 Martin Raab
10 1000000000000000000000000000000002955087732304487826931 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42
* smallest with 55 decimal digits to given pattern 		55 22 Sep 2022 Norman Luhn
More Prime 12-tuplets


Rank The Largest Known Primes 13-tuplets Digits When Additions
1 9985637467 • 139# + 3629868888791261 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 66 1 Oct 2021 Roger Thompson
2 4135997219394611 • 109# + 117092849 + d, d = 0, 2, 12, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 61 23 Mar 2017 Norman Luhn
3 14815550 • 107# + 4385574275277313 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48 50 5 Feb 2013 Roger Thompson
4 14815550 • 107# + 4385574275277311 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 50 5 Feb 2013 Roger Thompson
5 10000000000000000000000000019294427203099948114321 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48
* smallest with 50 decimal digits to given pattern 		50 7 May 2023 Norman Luhn
6 61571 • 107# + 4803194122972361 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 48 7 Aug 2009 Jens Kruse Andersen
7 381955327397348 • 79# + 18393211 + d, d = 0, 6, 12, 16, 18, 22, 28, 30, 36, 40, 42, 46, 48 46 28 Dec 2007 Norman Luhn
8 381955327397348 • 79# + 18393209 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48 46 28 Dec 2007 Norman Luhn
9 100000000000000000000006149198224095343810309 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48
* smallest with 45 decimal digits to given pattern 		45 2 Mar 2022 Norman Luhn
10 100000000000000000000004356680452416578030761 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48
* smallest with 45 decimal digits to given pattern 		45 5 Feb 2022 Norman Luhn
More Prime 13-tuplets


Rank The Largest Known Primes 14-tuplets Digits When Additions
1 14815550 • 107# + 4385574275277311 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50
* first known with at least 50 decimal digits to given pattern 		50 5 Feb 2013 Roger Thompson
2 381955327397348 • 79# + 18393209 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48, 50 46 28 Dec 2007 Norman Luhn
3 1000000000000000014210159036148101380471 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50
* smallest with 40 decimal digits to given pattern 		40 10 Mar 2021 Norman Luhn
4 1000000000000000000349508508460276218889 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48, 50
* smallest with 40 decimal digits to given pattern 		40 10 Mar 2021 Norman Luhn
5 10000000000009283441665311798539399 + d, d = 0, 2, 8, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48, 50
* smallest with 35 decimal digits to given pattern 		35 18 Feb 2021 Norman Luhn
6 10000000000001275924044876917671361 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50
* smallest with 35 decimal digits to given pattern 		35 18 Feb 2021 Norman Luhn
7 26093748 • 67# + 383123187762431 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 33 8 Feb 2005 Christ van Willegen & Jens Kruse Andersen
8 108804167016152508211944400342691 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 33 14 Apr 2008 Jens Kruse Andersen
9 107173714602413868775303366934621 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 33 14 Apr 2008 Jens Kruse Andersen
10 101885197790002105359911556070661 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50 33 14 Apr 2008 Jens Kruse Andersen
More Prime 14-tuplets


Rank The Largest Known Primes 15-tuplets Digits When Additions
1 33554294028531569 • 61# + 57800747 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56
* first known with at least 40 decimal digits to given pattern 		40 25 Jan 2017 Norman Luhn
2 322255 • 73# + 1354238543317302647 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56 35 18 Nov 2016 Roger Thompson
3 10004646546202610858599716515809907 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56 35 4 Sep 2012 Roger Thompson
4 94 • 79# + 1341680294611244014367 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56 33 5 Feb 2021 Roger Thompson
5 3684 • 73# + 880858118723497737827 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56 33 5 Feb 2021 Roger Thompson
6 107173714602413868775303366934621 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50, 56 33 14 Apr 2008 Jens Kruse Andersen
7 99999999948164978600250563546411 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50, 56 32 29 Nov 2004 Jörg Waldvogel and Peter Leikauf
8 1251030012595955901312188450381 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50, 56 31 16 Oct 2003 Hans Rosenthal & Jens Kruse Andersen
9 1100916249233879857334075234831 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48, 50, 56 31 16 Oct 2003 Hans Rosenthal & Jens Kruse Andersen
10 1003234871202624616703163933857 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56 31 9 Aug 2012 Roger Thompson
More Prime 15-tuplets


Rank The Largest Known Primes 16-tuplets Digits When Additions
1 322255 • 73# + 1354238543317302647 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60
* first known with at least 35 decimal digits to given pattern 		35 18 Nov 2016 Roger Thompson
2 94 • 79# + 1341680294611244014363 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 33 5 Feb 2021 Roger Thompson
3 3684 • 73# + 880858118723497737827 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 33 5 Feb 2021 Roger Thompson
4 1003234871202624616703163933853 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60
* first known with more than 30 decimal digits to given pattern 		31 9 Aug 2012 Roger Thompson
5 11413975438568556104209245223 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60 29 2 Jan 2012 Roger Thompson
6 5867208169546174917450988007 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 28 11 Mar 2014 Raanan Chermoni & Jaroslaw Wroblewski
7 5621078036155517013724659017 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 28 4 Mar 2014 Raanan Chermoni & Jaroslaw Wroblewski
8 4668263977931056970475231227 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 28 4 Jan 2014 Raanan Chermoni & Jaroslaw Wroblewski
9 4652363394518920290108071177 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 28 4 Jan 2014 Raanan Chermoni & Jaroslaw Wroblewski
10 4483200447126419500533043997 + d, d = 0, 2, 6, 12, 14, 20, 26, 30, 32, 36, 42, 44, 50, 54, 56, 60 28 4 Jan 2014 Raanan Chermoni & Jaroslaw Wroblewski
More Prime 16-tuplets


Rank The Largest Known Primes 17-tuplets Digits When Additions
1 3684 • 73# + 880858118723497737821 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66 33 5 Feb 2021 Roger Thompson
2 100845391935878564991556707107 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56, 62, 66
* first known with at least 30 decimal digits to given pattern 		30 19 Feb 2013 Roger Thompson
3 11413975438568556104209245223 + d, d = 0, 4, 6, 10, 16, 18, 24, 28, 30, 34, 40, 46, 48, 54, 58, 60, 66 29 2 Jan 2012 Roger Thompson
4 11410793439953412180643704677 + d, d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 36, 42, 44, 50, 54, 56, 62, 66 29 2 Jan 2012 Roger Thompson
5 5867208169546174917450988001 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66 28 11 Mar 2014 Raanan Chermoni & Jaroslaw Wroblewski
6 5867208169546174917450987997 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66 28 11 Mar 2014 Raanan Chermoni & Jaroslaw Wroblewski
7 5621078036155517013724659011 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66 28 4 Mar 2014 Raanan Chermoni & Jaroslaw Wroblewski
8 5621078036155517013724659007 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66 28 4 Mar 2014 Raanan Chermoni & Jaroslaw Wroblewski
9 4668263977931056970475231221 + d, d = 0, 6, 8, 12, 18, 20, 26, 32, 36, 38, 42, 48, 50, 56, 60, 62, 66 28 4 Jan 2014 Raanan Chermoni & Jaroslaw Wroblewski
10 4668263977931056970475231217 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66 28 4 Jan 2014 Raanan Chermoni & Jaroslaw Wroblewski
More Prime 17-tuplets


Rank The Largest Known Primes 18-tuplets Digits When Additions
1 5867208169546174917450987997 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66, 70 28 11 Mar 2014 Raanan Chermoni & Jaroslaw Wroblewski
2 5621078036155517013724659007 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66, 70 28 4 Mar 2014 Raanan Chermoni & Jaroslaw Wroblewski
3 4668263977931056970475231217 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66, 70 28 4 Jan 2014 Raanan Chermoni & Jaroslaw Wroblewski
4 4652363394518920290108071167 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66, 70 28 4 Jan 2014 Raanan Chermoni & Jaroslaw Wroblewski
5 4483200447126419500533043987 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66, 70 28 4 Jan 2014 Raanan Chermoni & Jaroslaw Wroblewski
6 3361885098594416802447362317 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66, 70 28 30 Jul 2013 Raanan Chermoni & Jaroslaw Wroblewski
7 3261917553005305074228431077 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66, 70 28 30 Jul 2013 Raanan Chermoni & Jaroslaw Wroblewski
8 3176488693054534709318830357 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66, 70 28 30 Jul 2013 Raanan Chermoni & Jaroslaw Wroblewski
9 2650778861583720495199114537 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66, 70 28 25 Feb 2013 Raanan Chermoni & Jaroslaw Wroblewski
10 2406179998282157386567481197 + d, d = 0, 4, 10, 12, 16, 22, 24, 30, 36, 40, 42, 46, 52, 54, 60, 64, 66, 70 28 31 Dec 2012 Raanan Chermoni & Jaroslaw Wroblewski
More Prime 18-tuplets


Rank The Largest Known Primes 19-tuplets Digits When Additions
1 622803914376064301858782434517 + d, d = 0, 4, 6, 10, 12, 16, 24, 30, 34, 40, 42, 46, 52, 54, 60, 66, 70, 72, 76
* first known with at least 30 decimal digits to given pattern 		30 27 Dec 2018 Raanan Chermoni & Jaroslaw Wroblewski
2 248283957683772055928836513597 + d, d = 0, 4, 6, 10, 16, 22, 24, 30, 34, 36, 42, 46, 52, 60, 64, 66, 70, 72, 76 30 1 Aug 2016 Raanan Chermoni & Jaroslaw Wroblewski
3 138433730977092118055599751677 + d, d = 0, 4, 6, 10, 16, 22, 24, 30, 34, 36, 42, 46, 52, 60, 64, 66, 70, 72, 76
* first known with at least 30 decimal digits to given pattern 		30 8 Oct 2015 Raanan Chermoni & Jaroslaw Wroblewski
4 39433867730216371575457664407 + d, d = 0, 4, 6, 10, 16, 22, 24, 30, 34, 36, 42, 46, 52, 60, 64, 66, 70, 72, 76 29 8 Jan 2015 Raanan Chermoni & Jaroslaw Wroblewski
5 2406179998282157386567481191 + d, d = 0, 6, 10, 16, 18, 22, 28, 30, 36, 42, 46, 48, 52, 58, 60, 66, 70, 72, 76 28 31 Dec 2012 Raanan Chermoni & Jaroslaw Wroblewski
6 2348190884512663974906615481 + d, d = 0, 6, 10, 16, 18, 22, 28, 30, 36, 42, 46, 48, 52, 58, 60, 66, 70, 72, 76 28 17 Dec 2012 Raanan Chermoni & Jaroslaw Wroblewski
7 917810189564189435979968491 + d, d = 0, 6, 10, 16, 18, 22, 28, 30, 36, 42, 46, 48, 52, 58, 60, 66, 70, 72, 76 27 29 May 2011 Raanan Chermoni & Jaroslaw Wroblewski
8 656632460108426841186109951 + d, d = 0, 6, 10, 16, 18, 22, 28, 30, 36, 42, 46, 48, 52, 58, 60, 66, 70, 72, 76 27 19 Feb 2011 Raanan Chermoni & Jaroslaw Wroblewski
9 630134041802574490482213901 + d, d = 0, 6, 10, 16, 18, 22, 28, 30, 36, 42, 46, 48, 52, 58, 60, 66, 70, 72, 76 27 9 Feb 2011 Raanan Chermoni & Jaroslaw Wroblewski
10 37 + d, d = 0, 4, 6, 10, 16, 22, 24, 30, 34, 36, 42, 46, 52, 60, 64, 66, 70, 72, 76 2-3 - -
More Prime 19-tuplets


Rank The Largest Known Primes 20-tuplets Digits When Additions
1 1236637204227022808686214288579 + d, d = 0, 2, 8, 12, 14, 18, 24, 30, 32, 38, 42, 44, 50, 54, 60, 68, 72, 74, 78, 80 31 23 May 2021 Raanan Chermoni & Jaroslaw Wroblewski
2 1188350591359110800209379560799 + d, d = 0, 2, 8, 12, 14, 18, 24, 30, 32, 38, 42, 44, 50, 54, 60, 68, 72, 74, 78, 80 31 21 Jan 2021 Raanan Chermoni & Jaroslaw Wroblewski
3 1153897621507935436463788957529 + d, d = 0, 2, 8, 12, 14, 18, 24, 30, 32, 38, 42, 44, 50, 54, 60, 68, 72, 74, 78, 80 31 26 Dec 2020 Raanan Chermoni & Jaroslaw Wroblewski
4 1135540756371356698957890225821 + d, d = 0, 2, 6, 8, 12, 20, 26, 30, 36, 38, 42, 48, 50, 56, 62, 66, 68, 72, 78, 80 31 19 Dec 2020 Raanan Chermoni & Jaroslaw Wroblewski
5 1126002593922465663847897293731 + d, d = 0, 2, 6, 8, 12, 20, 26, 30, 36, 38, 42, 48, 50, 56, 62, 66, 68, 72, 78, 80 31 17 Nov 2020 Raanan Chermoni & Jaroslaw Wroblewski
6 1094372814043722195189448411199 + d, d = 0, 2, 8, 12, 14, 18, 24, 30, 32, 38, 42, 44, 50, 54, 60, 68, 72, 74, 78, 80
* first known with more 30 decimal digits to given pattern 		31 20 Oct 2020 Raanan Chermoni & Jaroslaw Wroblewski
7 1060475118776959297139870952701 + d, d = 0, 2, 6, 8, 12, 20, 26, 30, 36, 38, 42, 48, 50, 56, 62, 66, 68, 72, 78, 80
* first known with more 30 decimal digits to given pattern 		31 18 Sep 2020 Raanan Chermoni & Jaroslaw Wroblewski
8 999627565307688186459783232931 + d, d = 0, 2, 6, 8, 12, 20, 26, 30, 36, 38, 42, 48, 50, 56, 62, 66, 68, 72, 78, 80 30 19 Jun 2020 Raanan Chermoni & Jaroslaw Wroblewski
9 957278727962618711849051282459 + d, d = 0, 2, 8, 12, 14, 18, 24, 30, 32, 38, 42, 44, 50, 54, 60, 68, 72, 74, 78, 80 30 23 Mar 2020 Raanan Chermoni & Jaroslaw Wroblewski
10 839013472011818416634745523991 + d, d = 0, 2, 6, 8, 12, 20, 26, 30, 36, 38, 42, 48, 50, 56, 62, 66, 68, 72, 78, 80 30 28 Oct 2020 Raanan Chermoni & Jaroslaw Wroblewski
More Prime 20-tuplets


Rank The Largest Known Primes 21-tuplets Digits When Additions
1 622803914376064301858782434517 + d, d = 0, 4, 6, 10, 12, 16, 24, 30, 34, 40, 42, 46, 52, 54, 60, 66, 70, 72, 76, 82, 84
* smallest & first known to given pattern 		30 27 Dec 2018 Raanan Chermoni & Jaroslaw Wroblewski
2 248283957683772055928836513589 + d, d = 0, 2, 8, 12, 14, 18, 24, 30, 32, 38, 42, 44, 50, 54, 60, 68, 72, 74, 78, 80, 84 30 1 Aug 2016 Raanan Chermoni & Jaroslaw Wroblewski
3 138433730977092118055599751669 + d, d = 0, 2, 8, 12, 14, 18, 24, 30, 32, 38, 42, 44, 50, 54, 60, 68, 72, 74, 78, 80, 84 30 8 Oct 2015 Raanan Chermoni & Jaroslaw Wroblewski
4 39433867730216371575457664399 + d, d = 0, 2, 8, 12, 14, 18, 24, 30, 32, 38, 42, 44, 50, 54, 60, 68, 72, 74, 78, 80, 84
* first non-trivial known to given pattern 		29 8 Jan 2015 Raanan Chermoni & Jaroslaw Wroblewski
5 29 + d, d = 0, 2, 8, 12, 14, 18, 24, 30, 32, 38, 42, 44, 50, 54, 60, 68, 72, 74, 78, 80, 84 2-3 - -
More Prime 21-tuplets