| Pattern d: d = 0, 2, 6, 8, 12, 18, 20, 26, 30 | ||||||
|
merit = 630.06436265 ·∫dt / log9 t Gap start | Rank | Gap Size | Gap start | Next Prime Nonuplet | Merit | Who | When |
| 1 | 182403480 | 11 | 182403491 | 2.046094 | Norman Luhn | 2022 |
| 2 | 684486390 | 226449521 | 910935911 | 0.822603 | Norman Luhn | 2022 |
| 3 | 1384078080 | 1459270271 | 2843348351 | 0.902250 | Norman Luhn | 2022 |
| 4 | 3550768830 | 2843348351 | 6394117181 | 1.697439 | Norman Luhn | 2022 |
| 5 | 4289656980 | 12850665671 | 17140322651 | 1.272053 | Norman Luhn | 2022 |
| 6 | 5644503480 | 17140322651 | 22784826131 | 1.500509 | Norman Luhn | 2022 |
| 7 | 8264713380 | 24816950771 | 33081664151 | 1.910117 | Norman Luhn | 2022 |
| 8 | 8532406260 | 33081664151 | 41614070411 | 1.792658 | Norman Luhn | 2022 |
| 9 | 9187738560 | 43813839521 | 53001578081 | 1.754080 | Norman Luhn | 2022 |
| 10 | 14138039370 | 66449431661 | 80587471031 | 2.319536 | Norman Luhn | 2022 |
| 11 | 16063631010 | 101698684931 | 117762315941 | 2.283713 | Norman Luhn | 2022 |
| 12 | 17699966130 | 121317512201 | 139017478331 | 2.369025 | Norman Luhn | 2022 |
| 13 | 28465441620 | 203499800501 | 231965242121 | 3.184987 | Norman Luhn | 2022 |
| 14 | 36628994220 | 319751660141 | 356380654361 | 3.525678 | Norman Luhn | 2022 |
| 15 | 63112445130 | 383960791211 | 447073236341 | 5.667240 | Norman Luhn | 2022 |
| 16 | 93504606300 | 1477828264721 | 1571332871021 | 5.476081 | Norman Luhn | 2022 |
| 17 | 103890794280 | 5047246908701 | 5151137702981 | 4.163728 | Norman Luhn | 2022 |
| 18 | 163916068890 | 5924992008821 | 6088908077711 | 6.247478 | Norman Luhn | 2022 |
| 19 | 174659481150 | 18412307106491 | 18586966587641 | 4.749346 | Norman Luhn | 2022 |
| 20 | 185193397620 | 32439666487841 | 32624859885461 | 4.270727 | Norman Luhn | 2022 |
| 21 | 200252927070 | 34867397190161 | 35067650117231 | 4.522692 | Norman Luhn | 2022 |
| 22 | 213148363890 | 39103173312011 | 39316321675901 | 4.657735 | Norman Luhn | 2022 |
| 23 | 236455906260 | 42586768375421 | 42823224281681 | 5.041898 | Norman Luhn | 2022 |
| 24 | 274330077840 | 49768785327251 | 50043115405091 | 5.594476 | Norman Luhn | 2022 |
| 25 | 280581816900 | 51352294405871 | 51632876222771 | 5.671121 | Norman Luhn | 2022 |
| 26 | 307008541560 | 55486826676551 | 55793835218111 | 6.069890 | Norman Luhn | 2022 |
| 27 | 316649177460 | 63052240085951 | 63368889263411 | 6.037912 | Norman Luhn | 2022 |
| 28 | 321056286810 | 83904855867641 | 84225912154451 | 5.649052 | Norman Luhn | 2022 |
| 29 | 407124517800 | 84622594068821 | 85029718586621 | 7.145352 | Norman Luhn | 2022 |
| 30 | 450462861240 | 98257099890401 | 98707562751641 | 7.582375 | Norman Luhn | 2022 |
| 31 | 602129798550 | 185444300822771 | 186046430621321 | 8.503829 | Norman Luhn | 2022 |
| 32 | 627147819270 | 281390098452761 | 282017246272031 | 7.907863 | Norman Luhn | 2022 |
| 33 | 734985594420 | 341145971601971 | 341880957196391 | 8.798637 | Norman Luhn | 2022 |
| 34 | 812379440670 | 840906901976411 | 841719281417081 | 7.655696 | Norman Luhn | 2022 |
| 35 | 851126183880 | 1050144623241011 | 1050995749424891 | 7.568981 | Norman Luhn | 2022 |
| 36 | 1093164972900 | 1132481356235681 | 1133574521208581 | 9.532345 | Norman Luhn | 2022 |
| 37 | 1135364725950 | 1426914521870681 | 1428049886596631 | 9.325806 | Norman Luhn | 2022 |
| 38 | 1254955966950 | 2523279574534331 | 2524534530501281 | 8.909627 | Norman Luhn | 2022 |
| 39 | 1540331911860 | 4351960173041471 | 4353500504953331 | 9.533157 | Norman Luhn | 2022 |
| 40 | 1888530791490 | 5224173756616931 | 5226062287408421 | 11.16782 | Norman Luhn | 2022 |
| 41 | 2158549184610 | 7179429653617211 | 7181588202801821 | 11.79844 | Norman Luhn | 2022 |
| 42 | 2607650339490 | 10676759124086591 | 10679366774426081 | 12.93180 | Norman Luhn | 2022 |
| 43 | 2650173613290 | 26369116171996511 | 26371766345609801 | 10.57045 | Norman Luhn | 2022 |
| 44 | 2874297552210 | 39904269554066831 | 39907143851619041 | 10.39343 | Norman Luhn | 2022 |
| 45 | 3043772121390 | 40837530020009531 | 40840573792130921 | 10.94651 | Norman Luhn | 2022 |
| 46 | 3175353843480 | 45002221654848371 | 45005397008691851 | 11.16207 | Norman Luhn | 2022 |
| 47 | 3202200928080 | 58471217729617151 | 58474419930545231 | 10.58777 | Norman Luhn | 2022 |
| 48 | 3260046681150 | 61795410325658741 | 61798670372339891 | 10.64108 | Norman Luhn | 2022 |
| 49 | 3370323405750 | 76071681083532131 | 76075051406937881 | 10.48281 | Norman Luhn | 2022 |
| 50 | 3445184759940 | 84108739342573481 | 84112184527333421 | 10.46966 | Norman Luhn | 2022 |
| 51 | 3538024062300 | 85353678823208681 | 85357216847270981 | 10.71538 | Norman Luhn | 2022 |
| 52 | 3646284398400 | 91138931827644971 | 91142578112043371 | 10.87747 | Norman Luhn | 2022 |
| 53 | 3837826140330 | 101596694137421291 | 101600531963561621 | 11.16620 | Norman Luhn | 2022 |
| 54 | 4366729048290 | 110595342899098901 | 110599709628147191 | 12.45990 | Norman Luhn | 2022 |
| 55 | 4391084837370 | 135857055051043211 | 135861446135880581 | 11.95348 | Norman Luhn | 2022 |
| 56 | 5598711690810 | 140956071833360081 | 140961670545050891 | Norman Luhn | 2022 | |
| 57 | 5698013536320 | 369638789023279661 | 369644487036815981 | 12.37984 | Norman Luhn | 2022 |
| 58 | 5812630921020 | 475643945970756371 | 475649758601677391 | 11.94198 | Norman Luhn | 2022 |
| 59 | 6100403457330 | 555825364898153081 | 555831465301610411 | 12.10964 | Norman Luhn | 2022 |
| 60 | 6962437357260 | 608088539064604511 | 608095501501961771 | 13.55023 | Norman Luhn | 2022 |
| 61 | 7369834576440 | 646726152409827221 | 646733522244403661 | 14.15036 | Norman Luhn | 2022 |
|
| ||||||
| Pattern d: d = 0, 4, 10, 12, 18, 22, 24, 28, 30 | ||||||
|
merit = 630.06436265 ·∫dt / log9 t Gap start | Rank | Gap Size | Gap start | Next Prime Nonuplet | Merit | Who | When |
| 1 | 766920 | 88789 | 855709 | 0.053341 | Norman Luhn | 2022 |
| 2 | 73410540 | 855709 | 74266249 | 0.416708 | Norman Luhn | 2022 |
| 3 | 890403360 | 74266249 | 964669609 | 1.205869 | Norman Luhn | 2022 |
| 4 | 2892437520 | 2873599429 | 5766036949 | 1.415286 | Norman Luhn | 2022 |
| 5 | 6541044510 | 9853497739 | 16394542249 | 2.050003 | Norman Luhn | 2022 |
| 6 | 9701418300 | 27254489389 | 36955907689 | 2.157767 | Norman Luhn | 2022 |
| 7 | 31623306330 | 39745733539 | 71369039869 | 5.777980 | Norman Luhn | 2022 |
| 8 | 43877087100 | 489963274039 | 533840361139 | 3.672838 | Norman Luhn | 2022 |
| 9 | 52035177810 | 557552371279 | 609587549089 | 4.169805 | Norman Luhn | 2022 |
| 10 | 78406061580 | 1324931149669 | 1403337211249 | 4.758910 | Norman Luhn | 2022 |
| 11 | 85634406480 | 3173132553949 | 3258766960429 | 3.959336 | Norman Luhn | 2022 |
| 12 | 116913328140 | 4534159029919 | 4651072358059 | 4.839196 | Norman Luhn | 2022 |
| 13 | 120861128850 | 6790913697079 | 6911774825929 | 4.425206 | Norman Luhn | 2022 |
| 14 | 131977937700 | 7397310096079 | 7529288033779 | 4.708151 | Norman Luhn | 2022 |
| 15 | 142365718110 | 12170915297899 | 12313281016009 | 4.375559 | Norman Luhn | 2022 |
| 16 | 176309197680 | 21918226918099 | 22094536115779 | 4.555856 | Norman Luhn | 2022 |
| 17 | 204674722140 | 24882625998469 | 25087300720609 | 5.096152 | Norman Luhn | 2022 |
| 18 | 233954148540 | 32276101039309 | 32510055187849 | 5.401891 | Norman Luhn | 2022 |
| 19 | 238544511660 | 44805982687369 | 45044527199029 | 5.013100 | Norman Luhn | 2022 |
| 20 | 404569174590 | 78683027728159 | 79087596902749 | 7.246833 | Norman Luhn | 2022 |
| 21 | 415421919990 | 86279058174289 | 86694480094279 | 7.251430 | Norman Luhn | 2022 |
| 22 | 508348147230 | 138113459464219 | 138621807611449 | 7.785283 | Norman Luhn | 2022 |
| 23 | 677700670080 | 258263092197349 | 258940792867429 | 8.745649 | Norman Luhn | 2022 |
| 24 | 678404982990 | 527302338533209 | 527980743516199 | 7.230052 | Norman Luhn | 2022 |
| 25 | 688482838890 | 550636503789499 | 551324986628389 | 7.253676 | Norman Luhn | 2022 |
| 26 | 727169345700 | 661027348537459 | 661754517883159 | 7.300029 | Norman Luhn | 2022 |
| 27 | 844849595520 | 906256827297949 | 907101676893469 | 7.807358 | Norman Luhn | 2022 |
| 28 | 908788180230 | 1031678492026309 | 1032587280206539 | 8.119093 | Norman Luhn | 2022 |
| 29 | 980809470690 | 1240911490483519 | 1241892299954209 | 8.352412 | Norman Luhn | 2022 |
| 30 | 1167449306100 | 1473481004046409 | 1474648453352509 | 9.510290 | Norman Luhn | 2022 |
| 31 | 1188400213350 | 2282207697874189 | 2283396098087539 | 8.655164 | Norman Luhn | 2022 |
| 32 | 1212076751550 | 2387772347945839 | 2388984424697389 | 8.726677 | Norman Luhn | 2022 |
| 33 | 1244815780950 | 3663959157075379 | 3665203972856329 | 8.043622 | Norman Luhn | 2022 |
| 34 | 1260971814900 | 3811974372362059 | 3813235344176959 | 8.067435 | Norman Luhn | 2022 |
| 35 | 1309074462780 | 3963765272341309 | 3965074346804089 | 8.293594 | Norman Luhn | 2022 |
| 36 | 1332469548900 | 4376442570256429 | 4377775039805329 | 8.235188 | Norman Luhn | 2022 |
| 37 | 1445433209640 | 5663800632514459 | 5665246065724099 | 8.377834 | Norman Luhn | 2022 |
| 38 | 1507613368800 | 6521974335495319 | 6523481948864119 | 8.438242 | Norman Luhn | 2022 |
| 39 | 1548708168420 | 7128787908508939 | 7130336616677359 | 8.479977 | Norman Luhn | 2022 |
| 40 | 1573906881540 | 8519530625935309 | 8521104532816849 | 8.248386 | Norman Luhn | 2022 |
| 41 | 1698132225300 | 8898182996600059 | 8899881128825359 | 8.805015 | Norman Luhn | 2022 |
| 42 | 1704022568430 | 9581261563722829 | 9582965586291259 | 8.677022 | Norman Luhn | 2022 |
| 43 | 1994671037100 | 10350818015795419 | 10352812686832519 | 9.967093 | Norman Luhn | 2022 |
| 44 | 2005924819080 | 13137634964950399 | 13139640889769479 | 9.458550 | Norman Luhn | 2022 |
| 45 | 2170819589400 | 16043246251808749 | 16045417071398149 | 9.753232 | Norman Luhn | 2022 |
| 46 | 2753083495890 | 28722760263591829 | 28725513347087719 | 10.75997 | Norman Luhn | 2022 |
| 47 | 3335929131150 | 38562040389312679 | 38565376318443829 | 12.16028 | Norman Luhn | 2022 |
| 48 | 4071983385750 | 65701178326664119 | 65705250310049869 | 13.10317 | Norman Luhn | 2022 |
| 49 | 4937157529920 | 132893295778187029 | 132898232935716949 | 13.50782 | Norman Luhn | 2022 |
| 50 | 6989890435710 | 172597951082273389 | 172604940972709099 | Norman Luhn | 2022 | |
| 51 | 7838633459580 | 753655820151421699 | 753663658784881279 | 14.55439 | Norman Luhn | 2022 |
|
| ||||||
| Pattern d: d = 0, 4, 6, 10, 16, 18, 24, 28, 30 | ||||||
|
merit = 1260.128725309 ·∫dt / log9 t Gap start | Rank | Gap Size | Gap start | Next Prime Nonuplet | Merit | Who | When |
| 1 | 113130 | 13 | 113143 | 1.941882 | Norman Luhn | 2022 |
| 2 | 626814300 | 113143 | 626927443 | 2.672789 | Norman Luhn | 2022 |
| 3 | 1708288530 | 626927443 | 2335215973 | 2.685200 | Norman Luhn | 2022 |
| 4 | 1896141390 | 4422726013 | 6318867403 | 1.685153 | Norman Luhn | 2022 |
| 5 | 2456775360 | 8541306853 | 10998082213 | 1.719659 | Norman Luhn | 2022 |
| 6 | 3007030680 | 10998082213 | 14005112893 | 1.911949 | Norman Luhn | 2022 |
| 7 | 4864353480 | 14005112893 | 18869466373 | 2.785525 | Norman Luhn | 2022 |
| 8 | 6313367970 | 21843411823 | 28156779793 | 3.081960 | Norman Luhn | 2022 |
| 9 | 13268653170 | 62564104063 | 75832757233 | 4.449789 | Norman Luhn | 2022 |
| 10 | 14771725080 | 236345972893 | 251117697973 | 3.178942 | Norman Luhn | 2022 |
| 11 | 17220335790 | 428943544633 | 446163880423 | 3.038121 | Norman Luhn | 2022 |
| 12 | 19058518290 | 748810221763 | 767868740053 | 2.800688 | Norman Luhn | 2022 |
| 13 | 31675445760 | 887083820653 | 918759266413 | 4.395898 | Norman Luhn | 2022 |
| 14 | 36712611180 | 1435674472693 | 1472387083873 | 4.365808 | Norman Luhn | 2022 |
| 15 | 46685837160 | 1642018432903 | 1688704270063 | 5.315470 | Norman Luhn | 2022 |
| 16 | 59914077300 | 3476443141723 | 3536357219023 | 5.392771 | Norman Luhn | 2022 |
| 17 | 60255126690 | 4629468186433 | 4689723313123 | 4.965797 | Norman Luhn | 2022 |
| 18 | 77946350100 | 5379662210383 | 5457608560483 | 6.132269 | Norman Luhn | 2022 |
| 19 | 79521707850 | 7172302310203 | 7251824018053 | 5.732993 | Norman Luhn | 2022 |
| 20 | 110268769950 | 11901483962983 | 12011752732933 | 6.826088 | Norman Luhn | 2022 |
| 21 | 139804245630 | 18735144110713 | 18874948356343 | 7.566540 | Norman Luhn | 2022 |
| 22 | 248692046460 | 49623278690743 | 49871970737203 | 10.15246 | Norman Luhn | 2022 |
| 23 | 268617567330 | 125828595769753 | 126097213337083 | 8.444401 | Norman Luhn | 2022 |
| 24 | 337117282530 | 189488243078983 | 189825360361513 | 9.467972 | Norman Luhn | 2022 |
| 25 | 383456762370 | 311916100066843 | 312299556829213 | 9.406188 | Norman Luhn | 2022 |
| 26 | 495211388010 | 651935477051473 | 652430688439483 | 9.979661 | Norman Luhn | 2022 |
| 27 | 522642643380 | 1340485552946773 | 1341008195590153 | 8.725969 | Norman Luhn | 2022 |
| 28 | 884198249130 | 1345274723568313 | 1346158921817443 | 14.74834 | Norman Luhn | 2022 |
| 29 | 966972223140 | 8043057363106303 | 8044024335329443 | 10.27956 | Norman Luhn | 2022 |
| 30 | 1038409098870 | 10045412098366273 | 10046450507465143 | 10.45384 | Norman Luhn | 2022 |
| 31 | 1066903683780 | 11696330398221163 | 11697397301904943 | 10.34964 | Norman Luhn | 2022 |
| 32 | 1288374037860 | 13600252170920263 | 13601540544958123 | 12.04874 | Norman Luhn | 2022 |
| 33 | 1691744873010 | 22128042774433483 | 22129734519306493 | 14.07193 | Norman Luhn | 2022 |
| 34 | 2108142130440 | 42968489334040003 | 42970597476170443 | Norman Luhn | 2022 | |
| 35 | 2131325590440 | 65288961079910983 | 65291092405501423 | 13.73685 | Norman Luhn | 2022 |
| 36 | 2421096807090 | 104108991168845473 | 104111412265652563 | 14.00959 | Norman Luhn | 2022 |
| 37 | 2455715567970 | 192217281387427183 | 192219737102995153 | 12.35662 | Norman Luhn | 2022 |
| 38 | 2763039600360 | 224343442676507233 | 224346205716107593 | 13.42638 | Norman Luhn | 2022 |
| 39 | 2827722163200 | 383701501994690833 | 383704329716854033 | 12.18575 | Norman Luhn | 2022 |
| 40 | 3362014413870 | 388355650639175953 | 388359012653589823 | 14.44945 | Norman Luhn | 2022 |
| 41 | 3492714779760 | 612472817362918063 | 612476310077697823 | 13.57354 | Norman Luhn | 2022 |
| 42 | 3721747041540 | 730018173416390473 | 730021895163432013 | 13.91739 | Norman Luhn | 2022 |
| 43 | 4000800786780 | 736109335638691093 | 736113336439477873 | 14.93373 | Norman Luhn | 2022 |
|
| ||||||
| Pattern d: d = 0, 2, 6, 12 ,14 ,20 ,24 ,26 ,30 | ||||||
|
merit = 1260.128725309 ·∫dt / log9 t Gap start | Rank | Gap Size | Gap start | Next Prime Nonuplet | Merit | Who | When |
| 1 | 1260 | 17 | 1277 | 1.136912 | Norman Luhn | 2022 |
| 2 | 111870 | 1277 | 113147 | 0.130525 | Norman Luhn | 2022 |
| 3 | 252163860 | 113147 | 252277007 | 1.687130 | Norman Luhn | 2022 |
| 4 | 594971430 | 521481197 | 1116452627 | 1.178173 | Norman Luhn | 2022 |
| 5 | 1320827970 | 1645175087 | 2966003057 | 1.668876 | Norman Luhn | 2022 |
| 6 | 2287133310 | 3947480417 | 6234613727 | 2.080884 | Norman Luhn | 2022 |
| 7 | 3072427110 | 6234613727 | 9307040837 | 2.358506 | Norman Luhn | 2022 |
| 8 | 8189900400 | 13766391467 | 21956291867 | 4.556323 | Norman Luhn | 2022 |
| 9 | 9383270190 | 42052236197 | 51435506387 | 3.629328 | Norman Luhn | 2022 |
| 10 | 11852780940 | 83115690167 | 94968471107 | 3.629706 | Norman Luhn | 2022 |
| 11 | 19436325090 | 260063491397 | 279499816487 | 4.039893 | Norman Luhn | 2022 |
| 12 | 20218887780 | 326643362387 | 346862250167 | 3.896810 | Norman Luhn | 2022 |
| 13 | 28193631840 | 414847098557 | 443040730397 | 5.007681 | Norman Luhn | 2022 |
| 14 | 30109033350 | 1002263588297 | 1032372621647 | 4.019002 | Norman Luhn | 2022 |
| 15 | 32064811740 | 1104194981627 | 1136259793367 | 4.148113 | Norman Luhn | 2022 |
| 16 | 38388828660 | 1147413686117 | 1185802514777 | 4.901372 | Norman Luhn | 2022 |
| 17 | 41218971780 | 2305453847987 | 2346672819767 | 4.220011 | Norman Luhn | 2022 |
| 18 | 48179820780 | 2426862002687 | 2475041823467 | 4.851879 | Norman Luhn | 2022 |
| 19 | 53032855530 | 3951539782427 | 4004572637957 | 4.589731 | Norman Luhn | 2022 |
| 20 | 57913630890 | 4265917615697 | 4323831246587 | 4.894549 | Norman Luhn | 2022 |
| 21 | 67864668900 | 7039945137077 | 7107809805977 | 4.921462 | Norman Luhn | 2022 |
| 22 | 72284703120 | 7521377200217 | 7593661903337 | 5.137713 | Norman Luhn | 2022 |
| 23 | 74173934730 | 9916355444117 | 9990529378847 | 4.851149 | Norman Luhn | 2022 |
| 24 | 81165952560 | 13910119933727 | 13991285886287 | 4.798689 | Norman Luhn | 2022 |
| 25 | 92296694490 | 14121311969747 | 14213608664237 | 5.431807 | Norman Luhn | 2022 |
| 26 | 123634519830 | 14375353226447 | 14498987746277 | 7.235437 | Norman Luhn | 2022 |
| 27 | 137342995920 | 28138953913307 | 28276296909227 | 6.601966 | Norman Luhn | 2022 |
| 28 | 139884702930 | 30852582500477 | 30992467203407 | 6.547219 | Norman Luhn | 2022 |
| 29 | 142904669460 | 39528625414697 | 39671530084157 | 6.227765 | Norman Luhn | 2022 |
| 30 | 171291246630 | 40852224911207 | 41023516157837 | 7.393934 | Norman Luhn | 2022 |
| 31 | 182890571430 | 52440745696037 | 52623636267467 | 7.351177 | Norman Luhn | 2022 |
| 32 | 184290618960 | 74882703149687 | 75066993768647 | 6.697363 | Norman Luhn | 2022 |
| 33 | 187539646140 | 86425231512857 | 86612771158997 | 6.546540 | Norman Luhn | 2022 |
| 34 | 240236523450 | 115551808799717 | 115792045323167 | 7.732993 | Norman Luhn | 2022 |
| 35 | 267467216580 | 186044016270377 | 186311483486957 | 7.550023 | Norman Luhn | 2022 |
| 36 | 342267045120 | 259186915646357 | 259529182691477 | 8.826841 | Norman Luhn | 2022 |
| 37 | 371473548600 | 350977634856677 | 351349108405277 | 8.827571 | Norman Luhn | 2022 |
| 38 | 434213458560 | 634402817179487 | 634837030638047 | 8.813689 | Norman Luhn | 2022 |
| 39 | 493347595860 | 766015693243037 | 766509040838897 | 9.529073 | Norman Luhn | 2022 |
| 40 | 517966280370 | 1099563127474367 | 1100081093754737 | 9.103345 | Norman Luhn | 2022 |
| 41 | 682191259200 | 1377003678938597 | 1377685870197797 | 11.31082 | Norman Luhn | 2022 |
| 42 | 755427649350 | 1741573781482517 | 1742329209131867 | 11.79060 | Norman Luhn | 2022 |
| 43 | 840707743890 | 3830327250475067 | 3831167958218957 | 10.74454 | Norman Luhn | 2022 |
| 44 | 844550919600 | 4780986104974817 | 4781830655894417 | 10.21164 | Norman Luhn | 2022 |
| 45 | 864669176280 | 4910396306710877 | 4911260975887157 | 10.38555 | Norman Luhn | 2022 |
| 46 | 899348050860 | 7998011203349327 | 7998910551400187 | 9.573889 | Norman Luhn | 2022 |
| 47 | 989855036520 | 10187534103987257 | 10188523959023777 | 9.930923 | Norman Luhn | 2022 |
| 48 | 1100196370350 | 11548539903703067 | 11549640100073417 | 10.70567 | Norman Luhn | 2022 |
| 49 | 1237798524000 | 13597887115711097 | 13599124914235097 | 11.57626 | Norman Luhn | 2022 |
| 50 | 1287670882680 | 24103437674098877 | 24104725344981557 | 10.49432 | Norman Luhn | 2022 |
| 51 | 1295208766260 | 27776047375153367 | 27777342583919627 | 10.20521 | Norman Luhn | 2022 |
| 52 | 1343566063620 | 29486191203429197 | 29487534769492817 | 10.43706 | Norman Luhn | 2022 |
| 53 | 1374749201070 | 32879594665003967 | 32880969414205037 | 10.40715 | Norman Luhn | 2022 |
| 54 | 1484551701510 | 33237542149823567 | 33239026701525077 | 11.20962 | Norman Luhn | 2022 |
| 55 | 1529711355900 | 37344436315013117 | 37345966026369017 | 11.23708 | Norman Luhn | 2022 |
| 56 | 2011272354630 | 40150632798362057 | 40152644070716687 | 14.52445 | Norman Luhn | 2022 |
| 57 | 2036783822010 | 108173800264145507 | 108175837047967517 | 11.68261 | Norman Luhn | 2022 |
| 58 | 2253696575130 | 119525593018646027 | 119527846715221157 | 12.63451 | Norman Luhn | 2022 |
| 59 | 2365213143510 | 136579967737398167 | 136582332950541677 | 12.86168 | Norman Luhn | 2022 |
| 60 | 2594655708060 | 144575939144359817 | 144578533800067877 | 13.92756 | Norman Luhn | 2022 |
| 61 | 2681246467680 | 160063404468454997 | 160066085714922677 | 14.06301 | Norman Luhn | 2022 |
| 62 | 3424577534130 | 308313947137608677 | 308317371715142807 | Norman Luhn | 2022 | |
| 63 | 3647710905870 | 849220181780073197 | 849223829490979067 | 13.19729 | Norman Luhn | 2022 |
|
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|
merit = 3780.3861759 ·∫dt / log9 t Gap start | Rank | Gap Size | Gap start | Next Prime Nonuplet | Merit | Who | When |
| 1 | 2 | 11 | 13 | 2.137864 | Norman Luhn | 18 Jan 2023 |
| 2 | 4 | 13 | 17 | 2.023336 | Norman Luhn | 18 Jan 2023 |
| 3 | 1260 | 17 | 1277 | 3.410738 | Norman Luhn | 18 Jan 2023 |
| 4 | 87512 | 1277 | 88789 | 0.365766 | Norman Luhn | 18 Jan 2023 |
| 5 | 742562 | 113147 | 855709 | 0.294236 | Norman Luhn | 18 Jan 2023 |
| 6 | 73410540 | 855709 | 74266249 | 2.500249 | Norman Luhn | 18 Jan 2023 |
| 7 | 108137242 | 74266249 | 182403491 | 1.518563 | Norman Luhn | 18 Jan 2023 |
| 8 | 156659940 | 252277007 | 408936947 | 1.386086 | Norman Luhn | 18 Jan 2023 |
| 9 | 284008468 | 626927443 | 910935911 | 1.714972 | Norman Luhn | 18 Jan 2023 |
| 10 | 472686632 | 1645175087 | 2117861719 | 1.937586 | Norman Luhn | 18 Jan 2023 |
| 11 | 481120226 | 2966003057 | 3447123283 | 1.577961 | Norman Luhn | 18 Jan 2023 |
| 12 | 500357134 | 3447123283 | 3947480417 | 1.547849 | Norman Luhn | 18 Jan 2023 |
| 13 | 1343310936 | 4422726013 | 5766036949 | 3.653487 | Norman Luhn | 18 Jan 2023 |
| 14 | 2389429356 | 14005112893 | 16394542249 | 4.223755 | Norman Luhn | 18 Jan 2023 |
| 15 | 2637580464 | 37045175329 | 39682755793 | 3.288705 | Norman Luhn | 18 Jan 2023 |
| 16 | 3250520282 | 43813839521 | 47064359803 | 3.808231 | Norman Luhn | 18 Jan 2023 |
| 17 | 3962460392 | 67406579477 | 71369039869 | 3.979820 | Norman Luhn | 18 Jan 2023 |
| 18 | 4707167634 | 88431318949 | 93138486583 | 4.293311 | Norman Luhn | 18 Jan 2023 |
| 19 | 5148354116 | 158532152477 | 163680506593 | 3.835559 | Norman Luhn | 18 Jan 2023 |
| 20 | 6908925298 | 242360943259 | 249269868557 | 4.447231 | Norman Luhn | 18 Jan 2023 |
| 21 | 7701391886 | 414847098557 | 422548490443 | 4.136876 | Norman Luhn | 18 Jan 2023 |
| 22 | 9041208546 | 428943544633 | 437984753179 | 4.800334 | Norman Luhn | 18 Jan 2023 |
| 23 | 9536948190 | 589711716673 | 599248664863 | 4.556639 | Norman Luhn | 18 Jan 2023 |
| 24 | 9828700136 | 758040039917 | 767868740053 | 4.324366 | Norman Luhn | 18 Jan 2023 |
| 25 | 13498923900 | 800169804433 | 813668728333 | 5.830838 | Norman Luhn | 18 Jan 2023 |
| 26 | 14719738106 | 1372112527127 | 1386832265233 | 5.340970 | Norman Luhn | 18 Jan 2023 |
| 27 | 16400779866 | 1615939173461 | 1632339953327 | 5.647025 | Norman Luhn | 18 Jan 2023 |
| 28 | 17036446134 | 2667100782319 | 2684137228453 | 5.006614 | Norman Luhn | 18 Jan 2023 |
| 29 | 17528075670 | 3514108139599 | 3531636215269 | 4.726095 | Norman Luhn | 18 Jan 2023 |
| 30 | 23405225336 | 3722619926147 | 3746025151483 | 6.197305 | Norman Luhn | 18 Jan 2023 |
| 31 | 27409381864 | 4296421864723 | 4323831246587 | 6.941847 | Norman Luhn | 18 Jan 2023 |
| 32 | 30118945346 | 4840688423927 | 4870807369273 | 7.352478 | Norman Luhn | 18 Jan 2023 |
| 33 | 38096251624 | 11315324779453 | 11353421031077 | 7.188955 | Norman Luhn | 18 Jan 2023 |
| 34 | 57562459706 | 13314078841157 | 13371641300863 | 10.34585 | Norman Luhn | 18 Jan 2023 |
| 35 | 57959411008 | 17398943650789 | 17456903061797 | 9.624084 | Norman Luhn | 18 Jan 2023 |
| 36 | 74883631680 | 32526257436703 | 32601141068383 | 10.35840 | Norman Luhn | 18 Jan 2023 |
| 37 | 84357057956 | 95021243797847 | 95105600855803 | 8.604137 | Norman Luhn | 18 Jan 2023 |
| 38 | 86058916020 | 140296582478863 | 140382641394883 | 7.877018 | Norman Luhn | 18 Jan 2023 |
| 39 | 95905127996 | 146233211267237 | 146329116395233 | 8.678319 | Norman Luhn | 18 Jan 2023 |
| 40 | 111719386740 | 148144260133603 | 148255979520343 | 10.07304 | Norman Luhn | 18 Jan 2023 |
| 41 | 123432161582 | 218673584680907 | 218797016842489 | 10.00237 | Norman Luhn | 18 Jan 2023 |
| 42 | 158295956488 | 279107563691629 | 279265859648117 | 12.00507 | Norman Luhn | 18 Jan 2023 |
| 43 | 164745675570 | 843169173326083 | 843333919001653 | 9.309562 | Norman Luhn | 18 Jan 2023 |
| 44 | 215762599292 | 1271611524407657 | 1271827287006949 | 10.95574 | Norman Luhn | 18 Jan 2023 |
| 45 | 227673778770 | 1300553951681837 | 1300781625460607 | 11.49344 | Norman Luhn | 18 Jan 2023 |
| 46 | 240928000890 | 1384126286714447 | 1384367214715337 | 11.96840 | Norman Luhn | 18 Jan 2023 |
| 47 | 253614532078 | 2372587985018803 | 2372841599550881 | 10.97414 | Norman Luhn | 18 Jan 2023 |
| 48 | 319366872452 | 2687175252475781 | 2687494619348233 | 13.38946 | Norman Luhn | 18 Jan 2023 |
| 49 | 323241175530 | 4175044694359151 | 4175367935534681 | 12.12893 | Norman Luhn | 18 Jan 2023 |
| 50 | 367526500374 | 6799837631044877 | 6800205157545251 | 12.21618 | Norman Luhn | 18 Jan 2023 |
| 51 | 370562154532 | 9299090625091429 | 9299461187245961 | 11.40489 | Norman Luhn | 18 Jan 2023 |
| 52 | 384872623852 | 12600969913714309 | 12601354786338161 | 10.99966 | Norman Luhn | 18 Jan 2023 |
| 53 | 465256314600 | 14438784002628889 | 14439249258943489 | 12.86550 | Norman Luhn | 18 Jan 2023 |
| 54 | 474211801928 | 20789829792326711 | 20790304004128639 | 12.01156 | Norman Luhn | 18 Jan 2023 |
| 55 | 586532044982 | 28046303417652251 | 28046889949697233 | 13.83239 | Norman Luhn | 18 Jan 2023 |
| 56 | 700657586528 | 41753460869629121 | 41754161527215649 | 15.04034 | Norman Luhn | 18 Jan 2023 |
| 57 | 740602618776 | 65064824596761943 | 65065565199380719 | 14.33151 | Norman Luhn | 18 Jan 2023 |
| 58 | 833417154988 | 76600495767490813 | 76601329184645801 | Norman Luhn | 18 Jan 2023 | |
| 59 | 911984670874 | 119045264661971353 | 119046176646642227 | 15.35227 | Norman Luhn | 18 Jan 2023 |
| 60 | 951258249694 | 200247199019847583 | 200248150278097277 | 14.22736 | Norman Luhn | 18 Jan 2023 |
| 61 | 953547390454 | 220226263685972623 | 220227217233363077 | 13.95881 | Norman Luhn | 18 Jan 2023 |
| 62 | 1078637630066 | 298885888961914337 | 298886967599544403 | 14.74357 | Norman Luhn | 18 Jan 2023 |
| 63 | 1100107551206 | 380125562112202847 | 380126662219754053 | 14.25201 | Norman Luhn | 18 Jan 2023 |
| 64 | 1136074393648 | 587495472519475759 | 587496608593869407 | 13.36699 | Norman Luhn | 18 Jan 2023 |
| 65 | 1173672728910 | 604024239868391803 | 604025413541120713 | 13.72537 | Norman Luhn | 18 Jan 2023 |
| 66 | 1277911417226 | 616637940900558737 | 616639218811975963 | 14.87666 | Norman Luhn | 18 Jan 2023 |
| 67 | 1355134611184 | 764566845810980893 | 764568200945592077 | 15.04953 | Norman Luhn | 18 Jan 2023 |
| 68 | 1418937207874 | 926406940615421113 | 926408359552628987 | 15.11197 | Norman Luhn | 18 Jan 2023 |
|
| ||||||