Prime Sextuplets

 Last updated: 24 September 2023

23700 + 33888977692820810260792517451 + d, d = 0, 4, 6, 10, 12, 16 (1114 digits, 21 Nov 2021 [found on 8 Nov], Vidar Nakling, Primo, Sixfinder)

First known with more than 1000 digits
28993093368077 • 2399# + 19417 + d, d = 0, 4, 6, 10, 12, 16 (1037 digits, 14 Mar 2016, Norman Luhn, APSIEVE, Primo)

6646873760397777881866826327962099685830865900246688640856 • 1699# + 43777 + d, d = 0, 4, 6, 10, 12, 16 (780 digits, 8 Nov 2018, Vidar Nakling, Primo)

29720510172503062360713760607985203309940766118866743491802189150471978534404249 • 22299
+ 14271253084334081637544486111223831073612730979632132919368177563415768349505 + d, d = 0, 4, 6, 10, 12, 16 (772 digits, 1/28/2018, Riecoin #822096)

29749903422302373222996698880833194129159047179535887991184960156219652236318921 • 22293
+ 679631792885016654160023247517239700227428004849763556497260661860592843345 + d, d = 0, 4, 6, 10, 12, 16 (770 digits, 12/9/2017, Riecoin #793872)

29696802688480280387313212926526693549449146292085717645262228449092881114972806 • 22290
+ 1946690158750077943506249776690378666457458353296002764327070450442847661633 + d, d = 0, 4, 6, 10, 12, 16 (769 digits, 2/25/2018, Riecoin #838224)

29744205023784420961031622414734790416939049568996819659808238403983863222665068 • 22288
+ 14305894933680691041378655981062938998356035914288745998258984615535179477709 + d, d = 0, 4, 6, 10, 12, 16 (769 digits, 2/18/2018, Riecoin #834192)

29707412718946949415029080194980493978605678414396606766712262274235284928962561 • 22278
+ 21774293793439586643674306888881718167342014062406478752847391700510857054773 + d, d = 0, 4, 6, 10, 12, 16 (766 digits, 1/14/2018, Riecoin #814032)

29696978890366869883141509418765838581871522982358338407613039711378021084519043 • 22259
+ 24152316155470595374357736963765392505702343434016117070743766886456802014213 + d, d = 0, 4, 6, 10, 12, 16 (760 digits, 12/31/2017, Riecoin #805968)

29691575669072177222494655186416928710256802541243921484227880404600991044790342 • 22259
+ 22953847913844494543791161053509719129919186139904030102712344430311343318911 + d, d = 0, 4, 6, 10, 12, 16 (760 digits, 12/16/2017, Riecoin #797904)

29738370152765841200477916368997470863233149039979929714395166089470825913521999 • 22250
+ 3267273123746637724423731592929240166353975680818870504129389950929427468581 + d, d = 0, 4, 6, 10, 12, 16 (757 digits, 2/11/2018, Riecoin #830160)

29656695626537086679908301166093619978016058368950498756597441439757130039605823 • 22250
+ 61971018968167220204194547542408596054058126609751836190798307851969208029835 + d, d = 0, 4, 6, 10, 12, 16 (757 digits, 2/14/2018, Riecoin #826128)

56955179868148127192911167380358423268347394410089842129140156658466369
• 1607# + 82984537 + d, d = 0, 4, 6, 10, 12, 16 (751 digits, Aug 2015, Vidar Nakling, Primo)

29664529168062282268710370991044076633949050494232502090728322242390321509764945 • 22228
+ 335506584103312824802650823063246672869826697864238292374979370234904346957 + d, d = 0, 4, 6, 10, 12, 16 (751 digits, 12/02/2017, Riecoin #789840)

First known with at least 700 digits
391920120903547650120329378696362044618319386407239508453167024439178985045498790600310298931
245078011665141488718221144402728008841985546074620427235098669951080416452987007849969199215
172254155195529863097969853084190453728650037452220380184681391570092753684727879715473377537
• 1013# + 6503587 + d, d = 0, 4, 6, 10, 12, 16 (700 digits, Jan 2015, Vidar Nakling, Primo)

689702036532655186685581028503873005405874329363269153979622096014346785019088707220301256048568366498602811964467654774670820091972463194208186476882699386082393716593309811371422836387527549653095824492750394092045532275098135652952423078356472379653908988713872759020566218763497459878106775183203857648413997381256598543877696056491021898353604500233203798629403923570165634119564742536549584121471881689569379964364152289494693118199337926886001843460903637314310532482306798517536171711379098711480663572269535063407688377687623951196977582998449120940358830276897328119483620011984713125859631603652231485340570118364685553782567043880668996080767 + d, d = 0, 4, 6, 10, 12, 16 (654 digits, Nov 2014, the Riecoin project #164880, Primo)

4671972729725352818122941149688795830368998253362115554837276881802333628717174245204336786462397988402866849941243435521570028224794450613212179737967899963431468070908611907387424542325699416181898646839033266751697230706984095518189375221050541980536942301602739009515272908437015818063268988005118929691831130381608926396284126811311499400062635131277492852379564638711669224336132522712257526390270316395906772382350014635205284695255089488549517386620110262942368947858319697456420704695819068953811745476317893342760661016016020194198635957129742063414681341436467701482856828791215899277247997778189111505134511351782855366537 + d, d = 0, 4, 6, 10, 12, 16 (634 digits, Dec 2014, the Riecoin project #168912, Primo)

145706880639753656737279521958539605150826371575437551598376257412198564200098236683024478621533212186622837764946553552836830460783254125965129888309891835134016028148376391477335294028615544696350993458772877657622091279628567559666549129423984030662114589209305798504835129107410525330006954152630492665813319203174926300635633188526825646444266627820374457016303562341149903579239837584386378392653903870221101124209687177595498779757674767712364306682147365388176296110468770745154438587553257494473455834414798313541113447770440833422289365278564577509822628100266779065522554965904971178293533040332095883095722435581310387267 + d, d = 0, 4, 6, 10, 12, 16 (633 digits, Nov 2014, the Riecoin project #160848, Primo)

First known with at least 600 digits
8700325136612927132017229726082016541451211848876030155639862649818849145646358277686273968781
9998728687224597771118574844697175398328070762971115423157263105356623008427647886023227207644
5472609936600314711359991274351974702131352485721383899217353564548777480382292260041833362039
71007647570909842423549949186185382797676282255224158287242481391522282240117490588685419026728
• 547# + 7187767 + d, d = 0, 4, 6, 10, 12, 16 (600 digits, Oct 2014, Vidar Nakling, Primo)

Smallest with 600 digits
10599 + 314360191056418137 + d, d = 0, 4, 6, 10 ,12 ,16 (600 digits, 13 Jul 2021, Norman Luhn)

49210350903332212452810566004692030919102801408208961819403146196577563745476124680711202733554189605614783506825475691404888752144184576829642013820327715134517698358480593140810554258883403885165265601751315494217008739561682229016850460463808563705389240593714101390417041923848552993164967582998322929410571554746087497007967825846220015325654831770578435398632279854720
• 547# + 8061997 + d, d = 0, 4, 6, 10, 12, 16 (597 digits, Sep 2014, Vidar Nakling, Primo)

219946485329 • 1399# / 2 + d, d = -8, -4, -2, 2, 4, 8 (593 digits, Dec 2013, Serge Batalov, OpenPFGW, NewPgen, Primo)

First known with more than 500 digits
601545895935 • 1297# + 43777 + d, d = 0, 4, 6, 10, 12, 16 (559 digits, May 2009, Norman Luhn)

65235528874779619043815511427194724564525004277179549337803308739253707150790476483208459293648733374697099326747447725997199919506173229263589822373821241147462102895956406242374449523477033092653931750842137265345449633637405454521807066384601507956292537557882802038025080539798449831363522964353867310013944496456914983635059331712339470058829820806362135130874964341752385507417515899330327266894656067879384210512622611246443424276809993140133372895127573940959956001186357689886323315570311117448595241076863328320307878207 + d, d = 0, 4, 6, 10, 12, 16 (530 digits, May 2014, the Riecoin project #56780, Primo)

65234815945185065439304100448965765354193072935521582527942759346350496202767315324895463405505745515119901824282801808217994042965822268995637292877901488108705237234982888748975427293963741501107112499669259952214981298659827544690733336588075004389471267431157515107057195426866399244502275321902476431900476532196395645709990889835982512909652480912695817722412287348073056036540083877370299375694189273017804911809955407064988650297916679255300725801465348688898678990301199770382774161409690585825759489581102058216801806267 + d, d = 0, 4, 6, 10, 12, 16 (530 digits, May 2014, the Riecoin project #56784, Primo)

65234809500686403751014466899395266919914437059351447473526891930630580138190421773029373353827451797307832913360092533122569415269172844967684770649120155212443966258311588525404849202868640585536426985802004783727502295438428310200287793368569509108161748236953100719642366116346605631238617168812672692198915523701412240286834003317772979215233796853863472353509285965157582686451973864773761723467134326149311136773288373448472593578434463893848152418464320379039173518846242831662849676223196323119966256951754768301641161197 + d, d = 0, 4, 6, 10, 12, 16 (530 digits, May 2014, the Riecoin project #56920, Primo)

65232197484490716788850720008652439959581169479814419426735929019402980123063768425875725441187546593045078377463212395970251986442330842774651445063756866120661101318744007180053459844696981811977421326007066222977635772129144306586389898760775959104961043666270858612602039036249514914594368621674123546407284230202255287821437107232331552270573195115860426363509324856219787336009567618618412165847747829207012532146793495782206841366562585704187592207234282755741013091943008998852922103373183837350657027499863283736668588057 + d, d = 0, 4, 6, 10, 12, 16 (530 digits, May 2014, the Riecoin project #56873, Primo)

65232006232526249097576310604134068007782499506142248088115761335968058482998856529146898648192284136657586318540598476538747289346959266675522401039084063669700175685332576093792574788947850370677125432307671426240911688323516934265793726043719661828038578050877785747965163701532344535005757631472665242169253004633365617648945859482795115695618249782058344137762790276245710233674722383065612712823227206801939118592623029613436190371477932345976630865782136877566737554617840069352775797272220496097432534264288524431884275997 + d, d = 0, 4, 6, 10, 12, 16 (530 digits, May 2014, the Riecoin project #56824, Primo)

65230621365247250634193999176096647978953698640630152367239450608445002214296735073344010337768023682597723559603395594765787519865903512150786656070768826601172208578725158620126183870172372110705747436583498587985016610761029869852936628931112160248637955832863726842458159551169051268197619545192859909763472819305691568265024845724045823771273402164915419390651180433777576438063034879225493905465880369676322186698683888171479574647949672388990543759669538528447073921016715973117738148301875242847734029407381706513121545397 + d, d = 0, 4, 6, 10, 12, 16 (530 digits, May 2014, the Riecoin project #56782, Primo)

65229854499476412574099976900898465760839567703313592354108956282194427557281864729946830914475104499368607663866359079323825968918741573792654071716340454577752936622304838661202724525840254658797336059350053947454730351327497305463071916376124975837383701546689922842183204872984671413627870513831675183606614369567337400778918435997720382710997290691663995951633953000096449246851593098814476310707058703528096556607996443540705404582260990791322312549569370964390831423364145824731389355694225949701616849662542845331708053217 + d, d = 0, 4, 6, 10, 12, 16 (530 digits, May 2014, the Riecoin project #56942, Primo)

65229406794875111632608412179616733983468687630833654004605144582701654239770622619202968145916383275533943357051239508043670546678768669161299311834428448607912056315550669530601847814453488561819402156879502673880134256539373463245971362204093604547381354718631381788059083499045444156929255488943508541758077374111729484340334235273142265730047516556381319161921822027571760176099031618824374709115169311283874876968486914084949382423080347747787908986751022621164327687842366242531941448010384715023327318238034280175708493617 + d, d = 0, 4, 6, 10, 12, 16 (530 digits, May 2014, the Riecoin project #56850, Primo)

65228080541668026631972558084716876482396236116878466941887920692758809567238570901446979895666444322804195633592869526650391633316027133609715362593774393002810611904778689282222786718388851741269583196210841494706080028948042207212456690496387088528385483981992263396787099256832777144442021297628778421035707681708907845068932036891822730061638368685689834085898229239941656570257154846526474396793096347982124108133725565311788330959855705594824485428945185592884442676506463396523959429452604811079150428132836983218712810877 + d, d = 0, 4, 6, 10, 12, 16 (530 digits, May 2014, the Riecoin project #56837, Primo)

Smallest with 500 digits
10499 + 464261549124325347 + d, d = 0, 4, 6, 10, 12, 16 (500 digits, Oct 2020, Norman Luhn, Primo)

First known with more than 400 digits
328481121285 • 997# + 16057 + d, d = 0, 4, 6, 10, 12, 16 (427 digits, Jan 2006, Norman Luhn)

Smallest with 400 digits
10399 + 33756090918084087 + d, d = 0, 4, 6, 10, 12, 16 (400 digits, 7 May 2019, Norman Luhn, Primo)

700779584086 • 907# + 777466507 + d, d = 0, 4, 6, 10, 12, 16 (389 digits, Aug 2012, Michael Stocker)
642346051973 • 907# + 777466507 + d, d = 0, 4, 6, 10, 12, 16 (389 digits, Aug 2012, Michael Stocker)

138765468778 • 839# + 2822707 + d, d = 0, 4, 6, 10, 12, 16 (362 digits, 2004, Norman Luhn)

8398544501 • 709# + 2000472907 + d, d = 0, 4, 6, 10, 12, 16 (306 digits, 2003, Torbjörn Alm & Jens Kruse Andersen, VFYPR)

Smallest with 1000 bits
2999 + 12373034057705669 + d, d = 0, 4, 6, 10, 12, 16 (301 digits, 03 Jul 2023, Norman Luhn, Primo 3.0.9)

First known with more than 300 digits
110282080125 • 691# + 6005887 + d, d = 0, 4, 6, 10, 12, 16 (301 digits, 2001, Norman Luhn, Primo)

97953153175 • 661# + 16057 + d, d = 0, 4, 6, 10, 12, 16 (290 digits, 2001, Michael Bell, Graeme Leese, Michael Davison, APSieve and Titanix)

20029140422780 • 599# + 16057 + d, d = 0, 4, 6, 10, 12, 16 (258 digits, Jul 2012, Norman Luhn)
20028317935150 • 599# + 16057 + d, d = 0, 4, 6, 10, 12, 16 (258 digits, Jul 2012, Norman Luhn)

86450022463 • 569# + 1000000587445747 + d, d = 0, 4, 6, 10, 12, 16 (242 digits, 2001, Norman Luhn)

First known with more than 200 digits
1189609319 • 503# / 613777 + 446215867 + d, d = 0, 4, 6, 10, 12, 16 (213 digits, 2000, Michael Bell)

474248602 • 439# + 22587277 + d, d = 0, 4, 6, 10, 12, 16 (189 digits, Jul 2012, Martin Raab)

10003356019378 • 421# + 16057 + d, d = 0, 4, 6, 10, 12, 16 (185 digits, Jun 2012, Norman Luhn)
10000142903042 • 421# + 16057 + d, d = 0, 4, 6, 10, 12, 16 (185 digits, Jun 2012, Norman Luhn)

2154671091 • 419# + 16057 + d, d = 0, 4, 6, 10, 12, 16 (179 digits, Jun 2012, Martin Raab)
5698649413 • 401# + 16057 + d, d = 0, 4, 6, 10, 12, 16 (174 digits, Mar 2011, Martin Raab)

82248305245 • 43# • 2479 + 16057 + d, d = 0, 4, 6, 10, 12, 16 (172 digits, 1997, A.O.L. Atkin)

10160 + 72849172960797 + d, d = 0, 4, 6, 10, 12, 16 (161 digits, Oct 2005, Richard Miller)

2512 + 6638977280721 + d, d = 0, 4, 6, 10, 12, 16 (155 digits, 1996, Tony Forbes, M500 153)

10136 + 350220126027 + d, d = 0, 4, 6, 10, 12, 16 (137 digits, Oct 2005, Richard Miller)

2 • 10132 + 75543532187 + d, d = 0, 4, 6, 10, 12, 16 (133 digits, 1994, Tony Forbes, M500 137)

10108 + 30103424963967 + d, d = 0, 4, 6, 10, 12, 16 (109 digits, Oct 2005, Richard Miller)

4657194227 • 239# + 16057 + d, d = 0, 4, 6, 10, 12, 16 (106 digits, 2003, Jens Kruse Andersen)
4178187661 • 239# + 16057 + d, d = 0, 4, 6, 10, 12, 16 (106 digits, 2003, Jens Kruse Andersen)
4155986110 • 239# + 16057 + d, d = 0, 4, 6, 10, 12, 16 (106 digits, 2003, Jens Kruse Andersen)

45312642 • 233# + 16057 + d, d = 0, 4, 6, 10, 12, 16 (102 digits, 1997, Warut Roonguthai)
44591421 • 233# + 16057 + d, d = 0, 4, 6, 10, 12, 16 (102 digits, 1997, Warut Roonguthai)

Smallest googol
10100 + 6763998516837 + d, d = 0, 4, 6, 10, 12, 16 (101 digits, 2001, Norman Luhn)

70829491 • 229# + 43777 + d, d = 0, 4, 6, 10, 12, 16 (100 digits, 1997, Warut Roonguthai)
67331034 • 229# + 19417 + d, d = 0, 4, 6, 10, 12, 16 (100 digits, 1997, Warut Roonguthai)

77591797 • 199# + 179# + 167# + 89# + 97 + d, d = 0, 4, 6, 10, 12, 16 (90 digits, 1997, Chad Davis)

1972792882 • 199# / 385 + d, d = -5, -1, 1, 5, 7, 11 (89 digits, 2000, Michael Bell)

29964012 • 151# + 89# + 97 + d, d = 0, 4, 6, 10, 12, 16 (67 digits, 1997, Chad Davis)

1045 + 22172544387 + d, d = 0, 4, 6, 10, 12, 16 (46 digits, 1997, Chad Davis)

5 • 1042 + 1210414367 + d, d = 0, 4, 6, 10, 12, 16 (43 digits, 1993, Tony Forbes, M500 134)

1030 + 5773122297 + d, d = 0, 4, 6, 10, 12, 16 (31 digits, 1997, Chad Davis)

1029 + 77882127 + d, d = 0, 4, 6, 10, 12, 16 (30 digits, 1993, Tony Forbes, M500 137)

{ Smallest triple prime sextuplet with 210 apart, found by Jörg Waldvogel and Peter Leikauf }
50038627250687303646697 + d, d = 0, 4, 6, 10, 12, 16
50038627250687303646487 + d, d = 0, 4, 6, 10, 12, 16
50038627250687303646277 + d, d = 0, 4, 6, 10, 12, 16

1020 + 4560084057 + d, d = 0, 4, 6, 10, 12, 16 (21 digits, 1997, Chad Davis)
1020 + 4445040387 + d, d = 0, 4, 6, 10, 12, 16 (21 digits, 1997, Chad Davis)
1020 + 4348508007 + d, d = 0, 4, 6, 10, 12, 16 (21 digits, 1997, Chad Davis)
1020 + 3924538587 + d, d = 0, 4, 6, 10, 12, 16 (21 digits, 1997, Chad Davis)
1020 + 3584984757 + d, d = 0, 4, 6, 10, 12, 16 (21 digits, 1997, Chad Davis)
1020 + 2488334097 + d, d = 0, 4, 6, 10, 12, 16 (21 digits, 1997, Chad Davis)
1020 + 2111152677 + d, d = 0, 4, 6, 10, 12, 16 (21 digits, 1997, Chad Davis)
1020 + 1709888667 + d, d = 0, 4, 6, 10, 12, 16 (21 digits, 1997, Chad Davis)
1020 + 1523730387 + d, d = 0, 4, 6, 10, 12, 16 (21 digits, 1997, Chad Davis)

{ Smallest double prime sextuplet with 210 apart }
5835906544747 + d, d = 0, 4, 6, 10, 12, 16
5835906544537 + d, d = 0, 4, 6, 10, 12, 16