Pattern d: d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32 | ||||||
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 | 7.439580 | Dana 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 | Norman Luhn | 2022 | |
|
Pattern d: d = 0, 2, 6, 12, 14, 20, 24, 26, 30, 32 | ||||||
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 |
|
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 | Norman Luhn | 2022 | |
48 | 313237605327570 | 67889403750965583947 | 67889716988570911517 | 13.54420 | Norman Luhn | 2022 |
49 | 318544756263930 | 72428660098860185357 | 72428978643616449287 | 13.57997 | Norman Luhn | 2022 |
|
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 | Norman Luhn | 18 Jan 2023 | |
|