Pattern d: d = 0, 2, 6, 8, 12, 18, 20 | ||||||
merit = 53.9719483 ·∫dt / log7 t Gap start | Rank | Gap Size | Gap start | Next Prime Septuplet | Merit | Who | When |
1 | 165690 | 11 | 165701 | 1.688141 | Alexei Kourbatov | 2013 |
2 | 903000 | 165701 | 1068701 | 0.718936 | Alexei Kourbatov | 2013 |
3 | 10831800 | 1068701 | 11900501 | 2.814128 | Alexei Kourbatov | 2013 |
4 | 13773480 | 25658441 | 39431921 | 1.611268 | Alexei Kourbatov | 2013 |
5 | 22813770 | 45002591 | 67816361 | 2.142501 | Alexei Kourbatov | 2013 |
6 | 31090080 | 93625991 | 124716071 | 2.259459 | Alexei Kourbatov | 2013 |
7 | 43751820 | 257016491 | 300768311 | 2.246603 | Alexei Kourbatov | 2013 |
8 | 60881310 | 367438061 | 428319371 | 2.753924 | Alexei Kourbatov | 2013 |
9 | 86746170 | 575226131 | 661972301 | 3.362567 | Alexei Kourbatov | 2013 |
10 | 118516860 | 1228244651 | 1346761511 | 3.580671 | Alexei Kourbatov | 2013 |
11 | 239951250 | 1459270271 | 1699221521 | 6.775938 | Alexei Kourbatov | 2013 |
12 | 281573040 | 2923666841 | 3205239881 | 6.406507 | Alexei Kourbatov | 2013 |
13 | 359932650 | 10180589591 | 10540522241 | 5.600354 | Alexei Kourbatov | 2013 |
14 | 384903750 | 15821203241 | 16206106991 | 5.253821 | Alexei Kourbatov | 2013 |
15 | 518385000 | 23393094071 | 23911479071 | 6.305616 | Alexei Kourbatov | 2013 |
16 | 902801550 | 37846533071 | 38749334621 | 9.548660 | Alexei Kourbatov | 2013 |
17 | 1027007520 | 158303571521 | 159330579041 | 7.302347 | Alexei Kourbatov | 2013 |
18 | 1086331680 | 350060308511 | 351146640191 | 6.250454 | Alexei Kourbatov | 2013 |
19 | 1329198570 | 382631592641 | 383960791211 | 7.470687 | Alexei Kourbatov | 2013 |
20 | 2176467090 | 711854781551 | 714031248641 | 10.41354 | Alexei Kourbatov | 2013 |
21 | 2413348560 | 2879574595811 | 2881987944371 | 8.142756 | Alexei Kourbatov | 2013 |
22 | 2724874950 | 3379186846151 | 3381911721101 | 8.842867 | Alexei Kourbatov | 2013 |
23 | 2805731040 | 5102247756491 | 5105053487531 | 8.245032 | Alexei Kourbatov | 2013 |
24 | 3236431380 | 5987254671311 | 5990491102691 | 9.154619 | Alexei Kourbatov | 2013 |
25 | 3558417450 | 7853481899561 | 7857040317011 | 9.439041 | Alexei Kourbatov | 2013 |
26 | 4079266380 | 11824063534091 | 11828142800471 | 9.832192 | Alexei Kourbatov | 2013 |
27 | 5280328410 | 16348094430581 | 16353374758991 | 11.80825 | Alexei Kourbatov | 2013 |
28 | 6089169450 | 44226969237161 | 44233058406611 | 10.87031 | Alexei Kourbatov | 2013 |
29 | 8106605220 | 54763336591961 | 54771443197181 | 13.80121 | Alexei Kourbatov | 2013 |
30 | 8192466870 | 154325181803321 | 154333374270191 | 11.13086 | Alexei Kourbatov | 2013 |
31 | 8398194420 | 157436722520921 | 157445120715341 | 11.36168 | Alexei Kourbatov | 2013 |
32 | 8579120550 | 281057032201481 | 281065611322031 | 10.26309 | Alexei Kourbatov | 2013 |
33 | 9001280190 | 294887168565161 | 294896169845351 | 10.65992 | Alexei Kourbatov | 2013 |
34 | 11138672370 | 309902902299701 | 309914040972071 | 13.05432 | Alexei Kourbatov | 2013 |
35 | 12218589390 | 419341934631071 | 419354153220461 | 13.44350 | Alexei Kourbatov | 2013 |
36 | 13164383820 | 854077393259801 | 854090557643621 | 12.51222 | Alexei Kourbatov | 2013 |
37 | 13412112000 | 1287032740322501 | 1287046152434501 | 11.73238 | Norman Luhn | 11 Nov 2022 |
38 | 14627769870 | 1287837427840961 | 1287852055610831 | 12.79418 | Norman Luhn | 11 Nov 2022 |
39 | 16201309950 | 1546705949563121 | 1546722150873071 | 13.65910 | Norman Luhn | 11 Nov 2022 |
40 | 16834460790 | 1562479425044381 | 1562496259505171 | 14.16411 | Norman Luhn | 11 Nov 2022 |
41 | 17565492840 | 3584511791361491 | 3584529356854331 | 12.54122 | Norman Luhn | 11 Nov 2022 |
42 | 17861894610 | 4286223364335161 | 4286241226229771 | 12.31599 | Norman Luhn | 11 Nov 2022 |
43 | 18296731530 | 4256202388709261 | 4256220685440791 | 12.63307 | Norman Luhn | 11 Nov 2022 |
44 | 19492997160 | 4574826520578311 | 4574846013575471 | 13.27155 | Norman Luhn | 11 Nov 2022 |
45 | 22169881020 | 5423096204411771 | 5423118374292791 | 14.60494 | Norman Luhn | 11 Nov 2022 |
46 | 24332786100 | 7158931949610431 | 7158956282396531 | 15.19551 | Norman Luhn | 11 Nov 2022 |
47 | 24598007070 | 9528916676356151 | 9528941274363221 | 14.54463 | Norman Luhn | 11 Nov 2022 |
48 | 26886742260 | 13725091836704861 | 13725118723447121 | 14.83678 | Norman Luhn | 24 Nov 2022 |
49 | 28638152340 | 15773525045646281 | 15773553683798621 | 15.39525 | Norman Luhn | 24 Nov 2022 |
50 | 38182265940 | 19076409136724111 | 19076447318990051 | Norman Luhn | 24 Nov 2022 | |
51 | 39828828060 | 38726750725108541 | 38726790553936601 | 18.12573 | Norman Luhn | 24 Nov 2022 |
52 | 42100579290 | 75229732538414801 | 75229774638994091 | 16.98203 | Norman Luhn | 25 Nov 2022 |
|
Pattern d: d = 0, 2, 8, 12, 14, 18, 20 | ||||||
merit = 53.9719483 ·∫dt / log7 t Gap start | Rank | Gap Size | Gap start | Next Prime Septuplet | Merit | Who | When |
1 | 83160 | 5639 | 88799 | 0.346488 | Alexei Kourbatov | 2013 |
2 | 195930 | 88799 | 284729 | 0.286450 | Alexei Kourbatov | 2013 |
3 | 341880 | 284729 | 626609 | 0.295756 | Alexei Kourbatov | 2013 |
4 | 5414220 | 1146779 | 6560999 | 1.706593 | Alexei Kourbatov | 2013 |
5 | 9270030 | 8573429 | 17843459 | 1.592096 | Alexei Kourbatov | 2013 |
6 | 18980220 | 24001709 | 42981929 | 2.202832 | Alexei Kourbatov | 2013 |
7 | 25622520 | 43534019 | 69156539 | 2.409908 | Alexei Kourbatov | 2013 |
8 | 36077370 | 87988709 | 124066079 | 2.653196 | Alexei Kourbatov | 2013 |
9 | 51597630 | 157131419 | 208729049 | 3.092750 | Alexei Kourbatov | 2013 |
10 | 92184750 | 522911099 | 615095849 | 3.678877 | Alexei Kourbatov | 2013 |
11 | 125523090 | 706620359 | 832143449 | 4.514596 | Alexei Kourbatov | 2013 |
12 | 140407470 | 1590008669 | 1730416139 | 3.898853 | Alexei Kourbatov | 2013 |
13 | 141896370 | 2346221399 | 2488117769 | 3.484702 | Alexei Kourbatov | 2013 |
14 | 336026460 | 3357195209 | 3693221669 | 7.310985 | Alexei Kourbatov | 2013 |
15 | 403369470 | 11768282159 | 12171651629 | 6.007878 | Alexei Kourbatov | 2013 |
16 | 435390270 | 30717348029 | 31152738299 | 4.897555 | Alexei Kourbatov | 2013 |
17 | 442452570 | 33788417009 | 34230869579 | 4.842449 | Alexei Kourbatov | 2013 |
18 | 627852330 | 62923039169 | 63550891499 | 5.758068 | Alexei Kourbatov | 2013 |
19 | 754383210 | 68673910169 | 69428293379 | 6.749610 | Alexei Kourbatov | 2013 |
20 | 1008582120 | 88850237459 | 89858819579 | 8.397723 | Alexei Kourbatov | 2013 |
21 | 1021464990 | 163288980299 | 164310445289 | 7.202334 | Alexei Kourbatov | 2013 |
22 | 1073692620 | 196782371699 | 197856064319 | 7.199282 | Alexei Kourbatov | 2013 |
23 | 1088148810 | 421204876439 | 422293025249 | 5.964605 | Alexei Kourbatov | 2013 |
24 | 1145336850 | 427478111309 | 428623448159 | 6.253781 | Alexei Kourbatov | 2013 |
25 | 1568502810 | 487635377219 | 489203880029 | 8.274770 | Alexei Kourbatov | 2013 |
26 | 1831427220 | 994838839439 | 996670266659 | 8.047248 | Alexei Kourbatov | 2013 |
27 | 1981464870 | 1554893017199 | 1556874482069 | 7.782617 | Alexei Kourbatov | 2013 |
28 | 2112833100 | 2088869793539 | 2090982626639 | 7.712873 | Alexei Kourbatov | 2013 |
29 | 2124912720 | 2104286376329 | 2106411289049 | 7.742911 | Alexei Kourbatov | 2013 |
30 | 2524750410 | 2704298257469 | 2706823007879 | 8.650213 | Alexei Kourbatov | 2013 |
31 | 2563342320 | 3550904257709 | 3553467600029 | 8.219374 | Alexei Kourbatov | 2013 |
32 | 3703761600 | 4438966968419 | 4442670730019 | 11.25323 | Alexei Kourbatov | 2013 |
33 | 4007885700 | 9996858589169 | 10000866474869 | 10.04573 | Alexei Kourbatov | 2013 |
34 | 4510983120 | 21937527068909 | 21942038052029 | 9.431002 | Alexei Kourbatov | 2013 |
35 | 4684341270 | 29984058230039 | 29988742571309 | 9.123705 | Alexei Kourbatov | 2013 |
36 | 5008335150 | 30136375346249 | 30141383681399 | 9.743596 | Alexei Kourbatov | 2013 |
37 | 5458736640 | 32779504324739 | 32784963061379 | 10.42064 | Alexei Kourbatov | 2013 |
38 | 5459261010 | 40372176609629 | 40377635870639 | 9.946125 | Alexei Kourbatov | 2013 |
39 | 5538301020 | 42762127106969 | 42767665407989 | 9.961421 | Alexei Kourbatov | 2013 |
40 | 5853061830 | 54620176867169 | 54626029928999 | 9.970451 | Alexei Kourbatov | 2013 |
41 | 7142583420 | 63358011407219 | 63365153990639 | 11.77491 | Alexei Kourbatov | 2013 |
42 | 7395601290 | 79763188368959 | 79770583970249 | 11.59123 | Alexei Kourbatov | 2013 |
43 | 7524703830 | 109974651670769 | 109982176374599 | 10.99752 | Alexei Kourbatov | 2013 |
44 | 8171975700 | 145568747217989 | 145576919193689 | 11.24297 | Alexei Kourbatov | 2013 |
45 | 8428843500 | 196317277557209 | 196325706400709 | 10.87851 | Alexei Kourbatov | 2013 |
46 | 8567796510 | 221953318490999 | 221961886287509 | 10.77344 | Alexei Kourbatov | 2013 |
47 | 9121701330 | 249376874266769 | 249385995968099 | 11.19074 | Alexei Kourbatov | 2013 |
48 | 9626062320 | 290608782523049 | 290618408585369 | 11.43488 | Alexei Kourbatov | 2013 |
49 | 11248937910 | 310213774327979 | 310225023265889 | 13.18077 | Alexei Kourbatov | 2013 |
50 | 11485174050 | 471088826892779 | 471100312066829 | 12.33505 | Alexei Kourbatov | 2013 |
51 | 12971201880 | 631565753063879 | 631578724265759 | 13.11353 | Alexei Kourbatov | 2013 |
52 | 15375948840 | 665514714418439 | 665530090367279 | 15.37850 | Alexei Kourbatov | 2013 |
53 | 19295924760 | 2170156154684039 | 2170175450608799 | 15.20693 | Norman Luhn | 11 Nov 2022 |
54 | 20356705950 | 4646664842384429 | 4646685199090379 | 13.81775 | Norman Luhn | 11 Nov 2022 |
55 | 21646799790 | 5069895255182489 | 5069916901982279 | 14.44729 | Norman Luhn | 11 Nov 2022 |
56 | 22126391700 | 5135889251602379 | 5135911377994079 | 14.73046 | Norman Luhn | 11 Nov 2022 |
57 | 22930766670 | 10177783172013629 | 10177806102780299 | 13.39008 | Norman Luhn | 11 Nov 2022 |
58 | 23611242480 | 10884814410333749 | 10884838021576229 | 13.61285 | Norman Luhn | 11 Nov 2022 |
59 | 27155401350 | 11176819587569549 | 11176846742970899 | 15.57786 | Norman Luhn | 11 Nov 2022 |
60 | 28161022890 | 15264678123669419 | 15264706284692309 | 15.23226 | Norman Luhn | 11 Nov 2022 |
61 | 28751240700 | 20981707666266029 | 20981736417506729 | 14.65314 | Norman Luhn | 11 Nov 2022 |
62 | 30097138890 | 21953477741043839 | 21953507838182729 | 15.21036 | Norman Luhn | 11 Nov 2022 |
63 | 35278237890 | 24106457559841829 | 24106492838079719 | 17.52152 | Norman Luhn | 24 Nov 2022 |
64 | 36240351840 | 24417972248919239 | 24418008489271079 | 17.95655 | Norman Luhn | 24 Nov 2022 |
65 | 41722072350 | 39329943754173209 | 39329985476245559 | Norman Luhn | 24 Nov 2022 | |
|
merit = 107.9438966 ·∫dt / log7 t Gap start | Rank | Gap Size | Gap start | Next Prime Septuplets | Merit | Who | When |
1 | 5628 | 11 | 5639 | 2.411193 | Norman Luhn | 17 Jan 2023 |
2 | 83160 | 5639 | 88799 | 0.692977 | Norman Luhn | 17 Jan 2023 |
3 | 119028 | 165701 | 284729 | 0.300790 | Norman Luhn | 17 Jan 2023 |
4 | 341880 | 284729 | 626609 | 0.591512 | Norman Luhn | 17 Jan 2023 |
5 | 5414220 | 1146779 | 6560999 | 3.413186 | Norman Luhn | 17 Jan 2023 |
6 | 13773480 | 25658441 | 39431921 | 3.222536 | Norman Luhn | 17 Jan 2023 |
7 | 22813770 | 45002591 | 67816361 | 4.285002 | Norman Luhn | 17 Jan 2023 |
8 | 30440088 | 93625991 | 124066079 | 4.429143 | Norman Luhn | 17 Jan 2023 |
9 | 33424818 | 327864611 | 361289429 | 3.181293 | Norman Luhn | 17 Jan 2023 |
10 | 34863108 | 367438061 | 402301169 | 3.190326 | Norman Luhn | 17 Jan 2023 |
11 | 39869718 | 575226131 | 615095849 | 3.131608 | Norman Luhn | 17 Jan 2023 |
12 | 66303048 | 1228244651 | 1294547699 | 4.033393 | Norman Luhn | 17 Jan 2023 |
13 | 70350000 | 1519658669 | 1590008669 | 3.992120 | Norman Luhn | 17 Jan 2023 |
14 | 109212852 | 1590008669 | 1699221521 | 6.083868 | Norman Luhn | 17 Jan 2023 |
15 | 131165160 | 3008352029 | 3139517189 | 5.962059 | Norman Luhn | 17 Jan 2023 |
16 | 161786520 | 8436205691 | 8597992211 | 5.344403 | Norman Luhn | 17 Jan 2023 |
17 | 228283230 | 13835037311 | 14063320541 | 6.494341 | Norman Luhn | 17 Jan 2023 |
18 | 257159490 | 15863572589 | 16120732079 | 7.023074 | Norman Luhn | 17 Jan 2023 |
19 | 289262610 | 19763247389 | 20052509999 | 7.403026 | Norman Luhn | 17 Jan 2023 |
20 | 350304570 | 47827797749 | 48178102319 | 6.946639 | Norman Luhn | 17 Jan 2023 |
21 | 439508622 | 81720304649 | 82159813271 | 7.497362 | Norman Luhn | 17 Jan 2023 |
22 | 561983940 | 130121377481 | 130683361421 | 8.432725 | Norman Luhn | 17 Jan 2023 |
23 | 571529112 | 338490796739 | 339062325851 | 6.636580 | Norman Luhn | 17 Jan 2023 |
24 | 777665070 | 378184596059 | 378962261129 | 8.770142 | Norman Luhn | 17 Jan 2023 |
25 | 815371200 | 632131550579 | 632946921779 | 8.046174 | Norman Luhn | 17 Jan 2023 |
26 | 908352732 | 811003946099 | 811912298831 | 8.409066 | Norman Luhn | 17 Jan 2023 |
27 | 1063368810 | 819221051261 | 820284420071 | 9.818608 | Norman Luhn | 17 Jan 2023 |
28 | 1211707350 | 1330453426439 | 1331665133789 | 9.897261 | Norman Luhn | 17 Jan 2023 |
29 | 1234420782 | 2219662600019 | 2220897020801 | 8.879064 | Norman Luhn | 17 Jan 2023 |
30 | 1261947498 | 3618415983641 | 3619677931139 | 8.056424 | Norman Luhn | 17 Jan 2023 |
31 | 1468079298 | 4064130673901 | 4065598753199 | 9.113016 | Norman Luhn | 17 Jan 2023 |
32 | 1887408222 | 4683800652899 | 4685688061121 | 11.32278 | Norman Luhn | 17 Jan 2023 |
33 | 1947769572 | 15457675215119 | 15459622984691 | 8.824766 | Norman Luhn | 17 Jan 2023 |
34 | 2478988722 | 17668104903719 | 17670583892441 | 10.89154 | Norman Luhn | 17 Jan 2023 |
35 | 3484084380 | 18865153070831 | 18868637155211 | 15.07907 | Norman Luhn | 17 Jan 2023 |
36 | 3523349172 | 57075938362349 | 57079461711521 | 11.88764 | Norman Luhn | 17 Jan 2023 |
37 | 3668832300 | 66634278495131 | 66637947327431 | 11.96310 | Norman Luhn | 17 Jan 2023 |
38 | 3677810220 | 99373821578399 | 99377499388619 | 10.98935 | Norman Luhn | 17 Jan 2023 |
39 | 3704425998 | 141387806832731 | 141391511258729 | 10.25709 | Norman Luhn | 17 Jan 2023 |
40 | 3974542320 | 147400207111679 | 147404181653999 | 10.90705 | Norman Luhn | 17 Jan 2023 |
41 | 4296334602 | 178458970788809 | 178463267123411 | 11.31756 | Norman Luhn | 17 Jan 2023 |
42 | 5343753870 | 185072465945441 | 185077809699311 | 13.96792 | Norman Luhn | 17 Jan 2023 |
43 | 5372585022 | 393208334708459 | 393213707293481 | 11.98176 | Norman Luhn | 17 Jan 2023 |
44 | 5842028388 | 503820405016541 | 503826247044929 | 12.37540 | Norman Luhn | 17 Jan 2023 |
45 | 6549026022 | 566548557083219 | 566555106109241 | 13.54107 | Norman Luhn | 17 Jan 2023 |
46 | 7247706060 | 1235175843036251 | 1235183090742311 | 12.78544 | Norman Luhn | 18 Jan 2023 |
47 | 7268347422 | 1703169634352099 | 1703176902699521 | 12.02191 | Norman Luhn | 18 Jan 2023 |
48 | 8270089212 | 2017317988864679 | 2017326258953891 | 13.22543 | Norman Luhn | 18 Jan 2023 |
49 | 8425586190 | 2175705123427931 | 2175713549014121 | 13.27353 | Norman Luhn | 18 Jan 2023 |
50 | 9564343950 | 2710640296617551 | 2710649860961501 | 14.42702 | Norman Luhn | 18 Jan 2023 |
51 | 9848718180 | 3417906881673281 | 3417916730391461 | 14.19487 | Norman Luhn | 19 Jan 2023 |
52 | 11447130828 | 3510982467857981 | 3510993914988809 | 16.41216 | Norman Luhn | 19 Jan 2023 |
53 | 12557720952 | 4534734118206359 | 4534746675927311 | 17.12876 | Norman Luhn | 19 Jan 2023 |
54 | 16763556012 | 8025455431960649 | 8025472195516661 | Norman Luhn | 19 Jan 2023 | |
|