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 66982155216384 − 6698215528192 ± 1 144605 26 Apr 2024 Roman Trunov; Cyclo; PRST
4 22271030616384 − 2227103068192 ± 1 136770 29 Mar 2024 Bruce Marler; Cyclo; PRST
5 9955858992 • 11111111 ± 1 115721 4 Apr 2025 Göran Schmidt, NewPGen, PRST
6 65516468355 • 2333333 ± 1
* first known with more than 100000 decimal digits 		100355 15 Aug 2009 Peter Kaiser, NewPGen, PrimeGrid, TPS, LLR
7 1867513233  • 2266698 ± 1 80294 15 May 2025 Bo Tornberg, TwinGen, LLR
8 201926367 • 2266668 ± 1 80284 6 May 2024 Göran Schmidt, NewPGen, PRST
9 160204065 • 2262148 ± 1 78923 8 Jul 2021 Erwin Doescher, LLR
10 18936119858192 − 18936119854096 ± 1 76000 06 Mar 2024 Bruce Marler; Cyclo; PRST
More Twin Primes


Rank The Largest Known Primes 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 click
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 click
3 6521953289619 • 255555 − 5 + d, d = 0, 4, 6 16737 30 Apr 2013 Peter Kaiser click
4 56667641271 • 244441 − 1 + d, d = 0, 2, 6 13389 1 Apr 2022 Stephan Schöler, NewPGen, OpenPFGW; Oliver Kruse, Primo click
5 4207993863 • 238624 − 1 + d, d = 0, 2, 6 11637 5 Jun 2021 Frank Doornink, NewPGen, LLR, Primo click
6 14059969053 • 236672 − 5 + d, d = 0, 4, 6 11050 17 Jun 2018 Serge Batalov, NewPGen, OpenPFGW, Primo click
7 3221449497221499 • 234567 − 1 + d, d = 0, 2, 6 10422 2 Sep 2015 Peter Kaiser, NewPGen, LLR, OpenPFGW, Primo click
8 1288726869465789 • 234567 − 5 + d, d = 0, 4, 6 10421 23 Apr 2014 Peter Kaiser, Primo click
9 647935598824239 • 233619 − 1 + d, d = 0, 2, 6 10136 22 May 2019 Peter Kaiser, Primo click
10 209102639346537 • 233620 − 1 + d, d = 0, 2, 6 10135 22 May 2019 Peter Kaiser, Primo click
More Prime Triplets


Rank The Largest Known Prime 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 click
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 click
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 click
4 101406820312263 • 212042 − 1 + d, d = 0, 2, 6, 8 3640 13 Jun 2018 Serge Batalov, OpenPFGW, NewPGen, Primo click
5 2673092556681 • 153048 − 4 + d, d = 0, 2, 6, 8 3598 14 Sep 2015 Serge Batalov, OpenPFGW, NewPGen, Primo click
6 2339662057597 • 103490 + 1 + d, d = 0, 2, 6, 8 3503 21 Dec 2013 Serge Batalov, OpenPFGW, NewPGen, Primo click
7 305136484659 • 211399 − 1 + d, d = 0, 2, 6, 8 3443 28 Sep 2013 Serge Batalov, OpenPFGW, NewPGen, Primo click
8 722047383902589 • 211111 − 1 + d, d = 0, 2, 6, 8 3360 20 Apr 2013 Reto Keiser, NewPGen, OpenPFGW, Primo click
9 585150568069684836 • 7757# / 85085 + 5 + d, d = 0, 2, 6, 8 3344 6 Mar 2022 Peter Kaiser, OpenPFGW, Primo click
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 click
More Prime Quadruplets


Rank The Largest Known Prime 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 click
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 click
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 click
4 394254311495 • 3733# / 2 − 8 + d, d = 0, 4, 6, 10, 12 1606 30 Nov 2017 Serge Batalov, NewPGen, OpenPFGW, Primo click
5 2316765173284 • 3593# + 16061 + d, d = 0, 2, 6, 8, 12 1543 16 Oct 2016 Norman Luhn, Primo click
6 163252711105 • 3371# / 2 − 8 + d, d = 0, 4, 6, 10, 12 1443 1 Jan 2014 Serge Batalov, OpenPFGW, NewPGen, Primo click
7 9039840848561 • 3299# / 35 − 5 + d, d = 0, 4, 6, 10, 12 1401 28 Dec 2013 Serge Batalov, OpenPFGW, NewPGen, Primo click
8 699549860111847 • 24244 − 1 + d, d = 0, 2, 6, 8, 12 1293 3 Dec 2013 Reto Keiser, R. Gerbicz, OpenPFGW, Primo click
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 click
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 click
More Prime Quintuplets


Rank The Largest Known Prime 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 )		 click
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 click
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 Prime 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 click
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 4733578067069 • 937# + 626609 + d, d = 0, 2, 8, 12, 14, 18, 20
* first known with more than 400 decimal digits to given pattern 		402 9 May 2016 Norman Luhn, Primo -
8 362084778371560960224893228648902482898 • 863# + 235367427477641 + d, d = 0, 2, 6, 8, 12, 18, 20 401 10 Sep 2023 Michalis Christou, rieMiner -
9 362084724493692554397476622571818362892 • 863# + 235290683530361 + d, d = 0, 2, 6, 8, 12, 18, 20 401 10 Sep 2023 Michalis Christou, rieMiner -
10 362084689974572819018431260315189393115 • 863# + 220452326319761 + d, d = 0, 2, 6, 8, 12, 18, 20 401 10 Sep 2023 Michalis Christou, rieMiner -
More Prime Septuplets


Rank The Largest Known Prime 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 531258360785860208657753 • 757# / 1768767 + 1 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 333 30 Sep 2022 Peter Kaiser, Primo
4 530956818040688210255681 • 757# / 1768767 + 1 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 333 30 Sep 2022 Peter Kaiser, Primo
5 697723422149271424870176724491962624555 • 701# + 145888993435301 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 332 28 Apr 2022 Michalis Christou, rieMiner 0.91
6 5586218959960365309179 • 757# / 1768767 + 1 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 331 12 Sep 2022 Peter Kaiser, Primo
7 4869586684665128135306 • 757# / 1768767 + 1 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 331 30 Sep 2022 Peter Kaiser, Primo
8 6879356578124627875380298699944709053335 • 677# + 980125031081081 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 324 12 Mar 2021 Michalis Christou, rieMiner 0.91
9 11353931709866739648226955494600568354731404614234625210000062657515902212233032370856173278043660576308
• 541# + 301713410008253 + d, d = 0, 6, 8, 14, 18, 20, 24, 26		 323 21 Mar 2025 Riecoin #2322411
10 85942978608490853163266464829675186732716531436220205198524648761309585030760262728948076619827920
• 541# + 301570107719123 + d, d = 0, 6, 8, 14, 18, 20, 24, 26		 318 7 May 2023 Riecoin #1927251
More Prime Octuplets
Prime Octuplets, found by Riecoin



Rank The Largest Known Prime Nonuplets Digits When Additions
1 182075127245948453356763852678412657384571384320476086323955359028566228121357180020362596219
• 541# + 145933845312371 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30		 312 22 Apr 2023 Riecoin #1918654
2 6981459541055817191260362842479625063402912945070015867718881817316331990854697141515826226327285164890
• 503# + 301713410008249 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30		 312 7 May 2023 Riecoin #1926945
3 629890765169303956463203674344921136457914174210975896062738680394230709899644451651443737728
• 523# + 295565457422351 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30		 310 6 Feb 2025 Riecoin #2297494
4 232419521557645481135590351622784242665787702180336807858480405171833045030126672414993707
• 541# + 235367427477641 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30		 310 30 Apr 2025 Riecoin #2345662
5 7620229574837377603687519001462575679324290703538353038451014140653366016375223441137843726785037341
• 503# + 220469307413891 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30		 309 16 Feb 2022 Riecoin #1669866
6 1019798582632338394076105053210508851392962816307091970137493574265559200180882377733723233784599113386
• 499# + 145933845312371 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30		 309 01 May 2025 Riecoin #2345904
7 4544802941746849322755400504979525801125583245162538446615359445516948017861576296257331705348
• 521# + 301713410008249 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30		 308 27 May 2023 Riecoin #1938898
8 1717612405724514020343974524411477095916171281075654764968715655356524312373510954101675371605
• 521# + 220452326319761 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30		 308 28 May 2025 Riecoin #2361437
9 50134399968336406861291010846106783509160363030730313813522797714265536760109675359280388591726600514085
• 491# + 114023297140211 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30		 308 5 Apr 2025 Riecoin #2330830
10 154140554027854736762047378850909920571712371864836723122728277535436255651743244125969075784222257
• 503# + 226193845148629 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30		 307 27 Apr 2023 Riecoin #1921294
More Prime Nonuplets
Prime Nonuplets, found by Riecoin


Rank The Largest Known Prime 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 Prime 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 Prime 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 Prime 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 Prime 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 Prime 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 Prime 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 Prime 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 Prime 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 Prime 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 Prime 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 Prime 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