Record Gaps Between Prime 10-tuplets

References: OEIS A202281 & OEIS A202361

Pattern d: d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32
Gap end
merit = 1704.74094019 ·dt / log10 t
Gap start
Rank Gap Size Gap start Next Prime 10-tuplet Merit Who When
1 33081664140 11 33081664151 2.667166 Alexei Kourbatov 2011
2 50040961320 33081664151 83122625471 0.994128 Alexei Kourbatov 2011
3 211797665730 83122625471 294920291201 2.678628 Alexei Kourbatov 2011
4 278538937950 294920291201 573459229151 2.510742 Alexei Kourbatov 2011
5 314694286830 730121110331 1044815397161 2.165479 Alexei Kourbatov 2011
6 446820068310 1291458592421 1738278660731 2.534051 Alexei Kourbatov 2011
7 589320949140 4700094892301 5289415841441 2.200102 Alexei Kourbatov 2011
8 1135263664920 6218504101541 7353767766461 3.819603 Alexei Kourbatov 2011
9 1154348695500 7908189600581 9062538296081 3.601257 Alexei Kourbatov 2011
10 1280949740070 10527733922591 11808683662661 3.645087 Alexei Kourbatov 2011
11 1340804150070 21939572224301 23280376374371 3.024709 Alexei Kourbatov 2011
12 1458168320490 23960929422161 25419097742651 3.196785 Alexei Kourbatov 2011
13 1539906870810 30491978649941 32031885520751 3.128103 Alexei Kourbatov 2011
14 1858581264540 46950720918371 48809302182911 3.294464 Alexei Kourbatov 2011
15 2590180927950 84254447788781 86844628716731 3.825040 Alexei Kourbatov 2011
16 3182865274050 118565337622001 121748202896051 4.230348 Alexei Kourbatov 2011
17 4949076176310 124788318636251 129737394812561 6.462460 Alexei Kourbatov 2011
18 5719502339670 235474768767851 241194271107521 6.167721 Alexei Kourbatov 2011
19 6474403830510 513639397576421 520113801406931 5.540843 Alexei Kourbatov 2011
20 10176655910190 826551814786541 836728470696731 7.575968 Alexei Kourbatov 2011
21 10696394997750 1811660166341561 1822356561339311 6.358824 Alexei Kourbatov 2011
22 14795015572260 3336445098184811 3351240113757071 7.404776 Alexei Kourbatov 2011
23 22064686726740 4860936813525251 4883001500251991 9.945013 Alexei Kourbatov 2011
24 24115450098390 15162739669803611 15186855119902001 7.974625 Dana Jacobsen 08 Oct 2015
25 24192886714920 23067980938007891 23092173824722811 7.153143 Dana Jacobsen 08 Oct 2015
26 24591587339550 24106673293158341 24131264880497891 7.186604 Dana Jacobsen 08 Oct 2015
27 25414002284790 27954449769700451 27979863771985241 7.141681 Dana Jacobsen 08 Oct 2015
28 27094875302460 38288339680738991 38315434556041451 7.009708 Dana Jacobsen 08 Oct 2015
29 28233128613690 40130110778032391 40158343906646081 7.214925 Dana Jacobsen 08 Oct 2015
30 31265097203340 52378829022364961 52410094119568301 7.453910 Dana Jacobsen 08 Oct 2015
31 32621645366310 63951926022250151 63984547667616461 7.385382 Dana Jacobsen 08 Oct 2015
32 34366816437030 76090775717546321 76125142533983351 7.439580Dana Jacobsen 08 Oct 2015
33 53806886003640 84230691483025931 84284498369029571 11.34739 Norman Luhn 2022
34 54756148657980 206574042251081621 206628798399739601 9.197631 Norman Luhn 2022
35 57023329492710 232683119626392971 232740142955885681 9.297185 Norman Luhn 2022
36 58293842234670 272049159284490431 272107453126725101 9.140730 Norman Luhn 2022
37 67701164879040 383594149345575011 383661850510454051 9.748617 Norman Luhn 2022
38 85058270058300 472204560412317191 472289618682375491 11.63664 Norman Luhn 2022
39 86902828229490 772731971300912081 772818874129141571 10.54155 Norman Luhn 2022
40 87203305981680 813760732255935461 813847935561917141 10.44605 Norman Luhn 2022
41 111075798025500 1312634110147655831 1312745185945681331 11.85712 Norman Luhn 2022
42 115583745947670 2165124028389169691 2165239612135117361 10.95145 Norman Luhn 2022
43 126364209327930 2194796268951211811 2194922633160539741 11.93436 Norman Luhn 2022
44 129378911789400 3203465390775948911 3203594769687738311 11.17703 Norman Luhn 2022
45 131909992788000 3518199226611987761 3518331136604775761 11.14807 Norman Luhn 2022
46 140852998350330 4576306164780990371 4576447017779340701 11.19514 Norman Luhn 2022
47 172086775032480 5046800897460287501 5046972984235319981 13.36998 Norman Luhn 2022
48 187976478509820 8041249390631324711 8041437367109834531 13.11483 Norman Luhn 2022
49 192724233768990 8136072077001093761 8136264801234862751 13.40992 Norman Luhn 2022
50 219864719393970 10802377945240927931 10802597809960321901 14.33722 Norman Luhn 2022
51 222236783161470 18762686717230305581 18762908954013467051 12.78666 Norman Luhn 2022
52 249391227445710 27005520095579280791 27005769486806726501 13.22298 Norman Luhn 2022
53 283327601834550 28024070637973418621 28024353965575253171 14.89858 Norman Luhn 2022
54 348608199064860 48096357820756711001 48096706428955775861
16.26004
Norman Luhn 2022
Maximal gaps below 1.00 · 1020

Pattern d: d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 32
Gap end
merit = 1704.74094019 ·dt / log10 t
Gap start
Rank Gap Size Gap start Next Prime 10-tuplet Merit Who When
1 12102794130 9853497737 21956291867 0.409899 Alexei Kourbatov 2011
2 141702673770 22741837817 164444511587 2.452639 Alexei Kourbatov 2011
3 424052301750 242360943257 666413245007 3.801317 Alexei Kourbatov 2011
4 699699330330 1418575498577 2118274828907 3.761184 Alexei Kourbatov 2011
5 714303547230 4396774576277 5111078123507 2.712654 Alexei Kourbatov 2011
6 739544215410 8639103445097 9378647660507 2.260777 Alexei Kourbatov 2011
7 1623198312120 11105292314087 12728490626207 4.520873 Alexei Kourbatov 2011
8 2691533434590 12728490626207 15420024060797 7.096803 Alexei Kourbatov 2011
9 4207848555330 119057768524127 123265617079457 5.578355 Alexei Kourbatov 2011
10 4936074819480 226608256438997 231544331258477 5.387015 Alexei Kourbatov 2011
11 5887574660310 581653272077387 587540846737697 4.859124 Alexei Kourbatov 2011
12 6562654104930 896217252921227 902779907026157 4.775374 Alexei Kourbatov 2011
13 7205070907650 987041423819807 994246494727457 5.098115 Alexei Kourbatov 2011
14 8129061524010 1408999953009347 1417129014533357 5.192414 Alexei Kourbatov 2011
15 8362548652500 1419018243046487 1427380791698987 5.330623 Alexei Kourbatov 2011
16 9741706748970 2189095026865907 2198836733614877 5.489526 Alexei Kourbatov 2011
17 9967327212570 2274112300607657 2284079627820227 5.556493
Alexei Kourbatov
2011
18 11684428585830 2369286971460107 2380971400045937 6.438189 Alexei Kourbatov 2011
19 15038225224680 4498231210741967 4513269435966647 6.926430 Alexei Kourbatov 2011
20 16217864803140 5320814086365287 5337031951168427 7.130761 Alexei Kourbatov 2011
21 18575781834960 5406353435580257 5424929217415217 8.131185 Alexei Kourbatov 2011
22 19306163758770 16042498396488647 16061804560247417 6.288748 Dana Jacobsen 09 Oct 2015
23 25095634366530 16413611778830237 16438707413196767 8.124311 Dana Jacobsen 09 Oct 2015
24 39545602368930 24115852659843797 24155398262212727 11.55462 Dana Jacobsen 09 Oct 2015
25 48720281559600 89513460847628327 89562181129187927 10.11579 Dana Jacobsen 09 Oct 2015
26 49088149953570 249706626550645697 249755714700599267 7.863511 Dana Jacobsen 09 Oct 2015
27 73039126470660 252334218242220197 252407257368690857 11.66959 Dana Jacobsen 09 Oct 2015
28 84862268470980 409980597881494877 410065460149965857 12.02070 Norman Luhn 2022
29 88674896279970 459549985389505247 459638660285785217 12.21268 Norman Luhn 2022
30 98828283164730 850162482392237867 850261310675402597 11.71370 Norman Luhn 2022
31 99379120794030 867743248658993867 867842627779787897 11.72075 Norman Luhn 2022
32 104981228872170 1742439788052087557 1742544769280959727 10.47336 Norman Luhn 2022
33 105381420647160 1967887916683027037 1967993298103674197 10.21353 Norman Luhn 2022
34 118062260244390 1991449734387443567 1991567796647687957 11.41026 Norman Luhn 2022
35 119651645205750 2651786817266912177 2651906468912117927 10.80655 Norman Luhn 2022
36 124205963696010 3333008320509918287 3333132526473614297 10.63082 Norman Luhn 2022
37 132065766534240 3372261596377399697 3372393662143933937 11.27256 Norman Luhn 2022
38 144742887894990 4456103544004414427 4456248286892309417 11.57582 Norman Luhn 2022
39 148258967439240 5961697284185251307 5961845543152690547 11.08246 Norman Luhn 2022
40 159767457698310 6212296237253972837 6212456004711671147 11.82957 Norman Luhn 2022
41 203116053488040 7674412248597541607 7674615364651029647 14.32399 Norman Luhn 2022
42 213134282372130 11159429144746883237 11159642279029255367 13.79563 Norman Luhn 2022
43 238811218681770 17361488884282641797 17361727695501323567 13.98292 Norman Luhn 2022
44 242555605272330 34156229483639927747 34156472039245200077 12.20445 Norman Luhn 2022
45 246390567159240 42790693626498822857 42790940017065982097 11.79298 Norman Luhn 2022
46 273205564407930 46202857341928072757 46203130547492480687 12.85654 Norman Luhn 2022
47 311901158216340 51127920150885492347 51128232052043708687
14.35316
Norman Luhn 2022
48 313237605327570 67889403750965583947 67889716988570911517 13.54420 Norman Luhn 2022
49 318544756263930 72428660098860185357 72428978643616449287 13.57997 Norman Luhn 2022
Maximal gaps below 1.00 · 1020


Record Gaps Between Prime 10-tuplets Over All Patterns


Gap end
merit = 3409.48188039 ·dt / log10 t
Gap start
Rank Gap Size Gap start Next Prime 10-tuplet Merit Who When
1 9853497726 11 9853497737 3.923225 Norman Luhn 18 Jan 2023
2 12102794130 9853497737 21956291867 0.819798 Norman Luhn 18 Jan 2023
3 50040961320 33081664151 83122625471 1.988256 Norman Luhn 18 Jan 2023
4 81321886116 83122625471 164444511587 2.371066 Norman Luhn 18 Jan 2023
5 278538937950 294920291201 573459229151 5.021484 Norman Luhn 18 Jan 2023
6 319703162154 1418575498577 1738278660731 3.570108 Norman Luhn 18 Jan 2023
7 374567507580 3699811791647 4074379299227 3.047990 Norman Luhn 18 Jan 2023
8 410983231206 4700094892301 5111078123507 3.087185 Norman Luhn 18 Jan 2023
9 563272830120 6390526086797 6953798916917 3.810525 Norman Luhn 18 Jan 2023
10 703391348574 11105292314087 11808683662661 3.968595 Norman Luhn 18 Jan 2023
11 728748575256 20933920839101 21662669414357 3.352404 Norman Luhn 18 Jan 2023
12 1458168320490 23960929422161 25419097742651 6.393570 Norman Luhn 18 Jan 2023
13 2690434371924 119057768524127 121748202896051 7.147176 Norman Luhn 18 Jan 2023
14 3036596580204 279787876907237 282824473487441 6.229994 Norman Luhn 18 Jan 2023
15 3141561078810 285539202502637 288680763581447 6.405914 Norman Luhn 18 Jan 2023
16 3362913297504 555343131317057 558706044614561 5.630437 Norman Luhn 18 Jan 2023
17 3407968063500 829367805582287 832775773645787 5.075094 Norman Luhn 18 Jan 2023
18 4358939581920 872322923004341 876681862586261 6.395796 Norman Luhn 18 Jan 2023
19 4660763832426 898119143193731 902779907026157 6.780810 Norman Luhn 18 Jan 2023
20 5093857694046 1558072653622601 1563166511316647 6.324964 Norman Luhn 18 Jan 2023
21 5282087928546 1677786567870221 1683068655798767 6.421617 Norman Luhn 18 Jan 2023
22 6011287324614 1888531104078317 1894542391402931 7.065955 Norman Luhn 18 Jan 2023
23 6734090115324 3049075116536147 3055809206651471 6.915080 Norman Luhn 18 Jan 2023
24 13040253984450 4499162039650121 4512202293634571 12.01242 Norman Luhn 18 Jan 2023
25 13279237325970 15167297271417647 15180576508743617 8.782631 Norman Luhn 18 Jan 2023
26 13574096572626 21367378474780181 21380952571352807 8.192379 Norman Luhn 18 Jan 2023
27 15412220654094 24115852659843797 24131264880497891 9.007628 Norman Luhn 18 Jan 2023
28 16665755852130 34469249821245971 34485915577098101 8.864378 Norman Luhn 18 Jan 2023
29 22726140274950 37423405897013021 37446132037287971 11.82970 Norman Luhn 18 Jan 2023
30 23094517277106 75468950570776571 75492045088053677 10.02012 Norman Luhn 18 Jan 2023
31 24796207364040 84255638044289837 84280434251653877 10.45827 Norman Luhn 18 Jan 2023
32 30228433744740 124641828165146417 124672056598891157 11.53650 Norman Luhn 18 Jan 2023
33 31470119943990 241668103762660007 241699573882603997 10.16531 Norman Luhn 18 Jan 2023
34 34045404413370 387343710445857701 387377755850271071 9.781306 Norman Luhn 18 Jan 2023
35 40689122583690 410007925926634571 410048615049218261 11.52716 Norman Luhn 18 Jan 2023
36 41310834926130 556788093874787891 556829404709714021 10.85581 Norman Luhn 18 Jan 2023
37 71685014583576 704427611935812881 704499296950396457 17.78683 Norman Luhn 18 Jan 2023
38 86401604779140 3406851435021026801 3406937836625805941 14.71452 Norman Luhn 18 Jan 2023
39 103494438996324 4155648846458506907 4155752340897503231 16.82549 Norman Luhn 18 Jan 2023
40 134488362002610 17149680820650628487 17149815309012631097 15.79289 Norman Luhn 18 Jan 2023
41 145829716755294 33479418916191326777 33479564745908082071 14.74063 Norman Luhn 18 Jan 2023
42 149895894350004 55269292747619935067 55269442643514285071 13.56135 Norman Luhn 18 Jan 2023
43 217384583979990 70872880635147649757 70873098019731629747
18.62301
Norman Luhn 18 Jan 2023
Maximal gaps below 1.00 · 1020