| Pattern d: d = 0, 4, 6, 10, 12, 16 | ||||||
|
merit = 17.2986123 ·∫dt / log6 t Gap start | Rank | Gap Size | Gap start | Next Prime Sextuplet | Merit | Who | When |
| 1 | 90 | 7 | 97 | 1.536198 | Alexei Kourbatov | 2013 |
| 2 | 15960 | 97 | 16057 | 0.988893 | Alexei Kourbatov | 2013 |
| 3 | 24360 | 19417 | 43777 | 0.349534 | Alexei Kourbatov | 2013 |
| 4 | 1047480 | 43777 | 1091257 | 4.003192 | Alexei Kourbatov | 2013 |
| 5 | 2605680 | 3400207 | 6005887 | 3.453097 | Alexei Kourbatov | 2013 |
| 6 | 2856000 | 11664547 | 14520547 | 2.553504 | Alexei Kourbatov | 2013 |
| 7 | 3605070 | 37055647 | 40660717 | 2.189943 | Alexei Kourbatov | 2013 |
| 8 | 4438560 | 82984537 | 87423097 | 2.071054 | Alexei Kourbatov | 2013 |
| 9 | 5268900 | 89483827 | 94752727 | 2.396421 | Alexei Kourbatov | 2013 |
| 10 | 17958150 | 94752727 | 112710877 | 7.861491 | Alexei Kourbatov | 2013 |
| 11 | 21955290 | 381674467 | 403629757 | 6.325648 | Alexei Kourbatov | 2013 |
| 12 | 23910600 | 1569747997 | 1593658597 | 4.579626 | Alexei Kourbatov | 2013 |
| 13 | 37284660 | 2019957337 | 2057241997 | 6.648726 | Alexei Kourbatov | 2013 |
| 14 | 40198200 | 5892947647 | 5933145847 | 5.358874 | Alexei Kourbatov | 2013 |
| 15 | 62438460 | 6797589427 | 6860027887 | 8.011193 | Alexei Kourbatov | 2013 |
| 16 | 64094520 | 14048370097 | 14112464617 | 6.809219 | Alexei Kourbatov | 2013 |
| 17 | 66134250 | 23438578897 | 23504713147 | 6.170700 | Alexei Kourbatov | 2013 |
| 18 | 70590030 | 24649559647 | 24720149677 | 6.503658 | Alexei Kourbatov | 2013 |
| 19 | 77649390 | 29637700987 | 29715350377 | 6.832421 | Alexei Kourbatov | 2013 |
| 20 | 83360970 | 29869155847 | 29952516817 | 7.320650 | Alexei Kourbatov | 2013 |
| 21 | 90070470 | 45555183127 | 45645253597 | 7.128676 | Alexei Kourbatov | 2013 |
| 22 | 93143820 | 52993564567 | 53086708387 | 7.105316 | Alexei Kourbatov | 2013 |
| 23 | 98228130 | 58430706067 | 58528934197 | 7.317846 | Alexei Kourbatov | 2013 |
| 24 | 117164040 | 93378527647 | 93495691687 | 7.800965 | Alexei Kourbatov | 2013 |
| 25 | 131312160 | 97236244657 | 97367556817 | 8.659272 | Alexei Kourbatov | 2013 |
| 26 | 151078830 | 240065351077 | 240216429907 | 8.071615 | Alexei Kourbatov | 2013 |
| 27 | 154904820 | 413974098817 | 414129003637 | 7.314858 | Alexei Kourbatov | 2013 |
| 28 | 158654580 | 419322931117 | 419481585697 | 7.470387 | Alexei Kourbatov | 2013 |
| 29 | 159663630 | 422088931207 | 422248594837 | 7.506827 | Alexei Kourbatov | 2013 |
| 30 | 182378280 | 427190088877 | 427372467157 | 8.551691 | Alexei Kourbatov | 2013 |
| 31 | 194658240 | 610418426197 | 610613084437 | 8.430597 | Alexei Kourbatov | 2013 |
| 32 | 215261760 | 659829553837 | 660044815597 | 9.164079 | Alexei Kourbatov | 2013 |
| 33 | 230683530 | 660863670277 | 661094353807 | 9.817196 | Alexei Kourbatov | 2013 |
| 34 | 245336910 | 853633486957 | 853878823867 | 9.870656 | Alexei Kourbatov | 2013 |
| 35 | 258121710 | 1089611097007 | 1089869218717 | 9.848321 | Alexei Kourbatov | 2013 |
| 36 | 263737740 | 1247852774797 | 1248116512537 | 9.772229 | Alexei Kourbatov | 2013 |
| 37 | 311017980 | 1475007144967 | 1475318162947 | 11.11751 | Alexei Kourbatov | 2013 |
| 38 | 322552230 | 1914335271127 | 1914657823357 | 10.90664 | Alexei Kourbatov | 2013 |
| 39 | 342447210 | 1953892356667 | 1954234803877 | 11.52923 | Alexei Kourbatov | 2013 |
| 40 | 421877610 | 3428196061177 | 3428617938787 | 12.62229 | Alexei Kourbatov | 2013 |
| 41 | 475997340 | 9367921374937 | 9368397372277 | 11.59710 | Alexei Kourbatov | 2013 |
| 42 | 507945690 | 10254799647007 | 10255307592697 | 12.15298 | Alexei Kourbatov | 2013 |
| 43 | 509301870 | 13786576306957 | 13787085608827 | 11.48752 | Alexei Kourbatov | 2013 |
| 44 | 629540730 | 21016714812547 | 21017344353277 | 13.06810 | Alexei Kourbatov | 2013 |
| 45 | 659616720 | 33157788914347 | 33158448531067 | 12.53242 | Alexei Kourbatov | 2013 |
| 46 | 797025180 | 41348577354307 | 41349374379487 | 14.51453 | Alexei Kourbatov | 2013 |
| 47 | 813158010 | 72702520226377 | 72703333384387 | 13.30518 | Alexei Kourbatov | 2013 |
| 48 | 823158840 | 89165783669857 | 89166606828697 | 12.96337 | Alexei Kourbatov | 2013 |
| 49 | 854569590 | 122421000846367 | 122421855415957 | 12.68805 | Alexei Kourbatov | 2013 |
| 50 | 888931050 | 139864197232927 | 139865086163977 | 12.87766 | Alexei Kourbatov | 2013 |
| 51 | 1010092650 | 147693859139077 | 147694869231727 | 14.48692 | Alexei Kourbatov | 2013 |
| 52 | 1018139850 | 186009633998047 | 186010652137897 | 13.99798 | Alexei Kourbatov | 2013 |
| 53 | 1139590200 | 202607131405027 | 202608270995227 | 15.42542 | Alexei Kourbatov | 2013 |
| 54 | 1152229260 | 332396845335547 | 332397997564807 | 14.26129 | Alexei Kourbatov | 2013 |
| 55 | 1204960680 | 424681656944257 | 424682861904937 | 14.27476 | Alexei Kourbatov | 2013 |
| 56 | 1457965740 | 437804272277497 | 437805730243237 | 17.17869 | Alexei Kourbatov | 2013 |
| 57 | 1566232710 | 1032372699789787 | 1032374266022497 | 15.87169 | Norman Luhn | 10 Nov 2022 |
| 58 | 1620857700 | 1600994849293237 | 1600996470150937 | 15.22818 | Norman Luhn | 10 Nov 2022 |
| 59 | 1632772680 | 1675691082158827 | 1675692714931507 | 15.22078 | Norman Luhn | 10 Nov 2022 |
| 60 | 1756969830 | 1953149120049217 | 1953150877019047 | 15.95553 | Norman Luhn | 10 Nov 2022 |
| 61 | 1854693120 | 2933983430433817 | 2933985285126937 | 15.72083 | Norman Luhn | 10 Nov 2022 |
| 62 | 1880371080 | 3192170447351647 | 3192172327722727 | 15.71389 | Norman Luhn | 10 Nov 2022 |
| 63 | 1882303290 | 3501289720505107 | 3501291602808397 | 15.48787 | Norman Luhn | 10 Nov 2022 |
| 64 | 2012265360 | 3903367083559117 | 3903369095824477 | 16.25867 | Norman Luhn | 10 Nov 2022 |
| 65 | 2076020940 | 4143640704921997 | 4143642780942937 | 16.60732 | Norman Luhn | 10 Nov 2022 |
| 66 | 2650231920 | 6654545231260177 | 6654547881492097 | 19.59966 | Norman Luhn | 10 Nov 2022 |
| 67 | 2865745680 | 21050295686721937 | 21050298552467617 | 17.58384 | Norman Luhn | 24 Nov 2022 |
| 68 | 2974185270 | 23026103227984387 | 23026106202169657 | 17.99002 | Norman Luhn | 24 Nov 2022 |
| 69 | 3630679290 | 25535582934721747 | 25535586565401037 | 21.60264 | Norman Luhn | 24 Nov 2022 |
| 70 | 3723060600 | 43638888370669507 | 43638892093730107 | 20.35716 | Norman Luhn | 26 Nov 2022 |
| 71 | 4010279070 | 49867754588827447 | 49867758599106517 | 21.47500 | Norman Luhn | 27 Nov 2022 |
| 72 | 4174554300 | 146090192566317817 | 146090196740872117 | 18.94619 | Martin Raab | 08 Jan 2023 |
| 73 | 4276641390 | 150065932805325067 | 150065937081966457 | 19.33058 | Martin Raab | 08 Jan 2023 |
| 74 | 4364876880 | 171504561583793017 | 171504565948669897 | 19.33441 | Martin Raab | 08 Jan 2023 |
| 75 | 4522015260 | 228212274857847097 | 228212279379862357 | 19.18669 | Martin Raab | 16 Jan 2023 |
| 76 | 4527413100 | 228729106646744437 | 228729111174157537 | 19.20308 | Martin Raab | 16 Jan 2023 |
| 77 | 4802739270 | 240452589152673967 | 240452593955413237 | 20.21870 | Martin Raab | 19 Jan 2023 |
| 78 | 5185264980 | 284930826756619777 | 284930831941884757 | 21.28178 | Martin Raab | 22 Jan 2023 |
| 79 | 5402643960 | 388692402485730517 | 388692407888374477 | 21.17321 | Martin Raab | 15 Feb 2023 |
| 80 | 5454427650 | 550896512993452177 | 550896518447879827 | 20.30427 | Martin Raab | 04 Apr 2023 |
| 81 | 5497271220 | 615824193906286357 | 615824199403557577 | 20.13206 | Martin Raab | 11 Apr 2023 |
| 82 | 5752574310 | 648396823774654387 | 648396829527228697 | 20.90868 | Martin Raab | 18 Apr 2023 |
| 83 | 7036105440 | 1057209875878952557 | 1057209882915057997 | Martin Raab | 23 Mar 2024 | |
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