10⁶⁸⁰¹+1 = 1000000000..._<6802> = 7 × 11 × 13 × 144335357 × 30025692710404561_<17> × [6298463023..._<2258>] × [3659869264..._<4516>] (0.41%)

10⁶⁸⁰²+1 = 1000000000..._<6803> = 101 × 19181641 × 530819489 × 7788750761855821_<16> × 722817036322379041_<18> × 1369778187490592461_<19> × [2394770832..._<332>] × [5265451480..._<6401>] (1.03%)

10⁶⁸⁰³+1 = 1000000000..._<6804> = 11 × 40819 × 15810173 × 3578146699_<10> × [3936861982..._<6781>] (0.33%)

10⁶⁸⁰⁴+1 = 1000000000..._<6805> = 73 × 137 × 3169 × 3889 × 7841 × 98641 × 68562937 × 99990001 × 198454537 × 1828137601_<10> × 11189053009_<11> × 41593295521_<11> × 81363421729_<11> × 494333420617_<12> × 112117914380881_<15> × 3199044596370769_<16> × 7596146397893257_<16> × 13855230314959249_<17> × 31596385900910689_<17> × 603812429055411913_<18> × 127522001020150503761_<21> × 148029423400750506553_<21> × 7064204436768358634702473_<25> × 1726290008991504500177463302688697_<34> × 579276943498154282123686999881829009033_<39> × 4359992252543206482185083495172767980765­7_<41> × 8412754911007788081960885806789768051116­9_<41> × 4045527636074852874244256082968844875121­5185778145671171534342753113_<68> × 3345221423650844757330057887630696655974­2891484387246195383469010412091448793471­5334187622132844561179868971005307865589­6960934716754311764809081946966357559506­57968289_<168> × [1000000000..._<433>] × [3522068529..._<578>] × [6633544422..._<1272>] × [2022926143..._<3877>] (9.50%)

10⁶⁸⁰⁵+1 = 1000000000..._<6806> = 11 × 8167 × 9091 × 10889 × 538204729 × 3501412037_<10> × 8157101783_<10> × 42707008144648361_<17> × 32794201885052294157546769_<26> × 12857293098624563620368908761_<29> × [2027837193..._<1299>] × [2003270750..._<5396>] (1.64%)

10⁶⁸⁰⁶+1 = 1000000000..._<6807> = 101 × 68389 × 772140701 × 6094513311515201429_<19> × 17167210449977525602398480599175117101_<38> × 2302396795526516076776837687352113616978­6061_<44> × 1447745997018511893740076606031686237538­345362413531560645573104006506749609_<76> × 4300297028838474156015268798064619519844­2861652725689411586949534183336343885152­2239838194937434654367240751665935313744­1_<121> × [1250219208..._<6496>] (4.57%)

10⁶⁸⁰⁷+1 = 1000000000..._<6808> = 7 × 11 × 13 × 1424933 × 17331586464960997_<17> × 42800681786378986957_<20> × 135202631744315458579_<21> × 1032296148474774793202063_<25> × [3565908912..._<2222>] × [1898990426..._<4497>] (1.31%)

10⁶⁸⁰⁸+1 = 1000000000..._<6809> = 17 × 593 × 5882353 × 2863853281_<10> × 1205530548914055885457278225432810661628­03459003848166118314367809_<66> × 8295102856587101112151219663083514451877­4133555852877567503980614227065994320281­8322753067885238020768017585089_<111> × 1686340623..._<286> × 3491799026..._<6327> (100.00%)

10⁶⁸⁰⁹+1 = 1000000000..._<6810> = 11² × 23 × 4093 × 8779 × 13619 × 634201866251_<12> × 592119999726203887006567_<24> × [1777562374..._<579>] × [1099999999..._<6181>] (0.74%)

10⁶⁸¹⁰+1 = 1000000000..._<6811> = 61 × 101 × 3541 × 5449 × 9901 × 27961 × 46309 × 59021 × 108961 × 681001 × 4188901 × 11799461 × 26926741 × 39526741 × 709591748375456801_<18> × 3802416727162854360879394522289_<31> × 5622811333..._<417> × [3095510397..._<875>] × [8898012004..._<893>] × [1853549256..._<901>] × [1453403747..._<1801>] × [2529932837..._<1809>] (7.84%)

10⁶⁸¹¹+1 = 1000000000..._<6812> = 11 × 197 × 557 × 2503 × 909091 × 1129177907650493_<16> × 70099301171494099_<17> × 5076141624365532994918781726395939035533_<40> × 6520655709313341698465187621108953571040­3595333062378353092332941289776570384185­9492780362601926814638167836591846272150­911969126521_<132> × [1569202362..._<812>] × [8856001283..._<5781>] (3.21%)

10⁶⁸¹²+1 = 1000000000..._<6813> = 73 × 137 × 9433 × 177113 × 1580801 × 221689729 × 83572468886561_<14> × 266958221846369_<15> × 2442398244221169833_<19> × 2700991999183848374581519791889_<31> × 6325274402021507450906224122454439230492­01_<42> × [1268362829..._<503>] × [1446319820..._<6164>] (2.15%)

10⁶⁸¹³+1 = 1000000000..._<6814> = 7 × 11 × 13 × 19 × 27253 × 52579 × 172597 × 120370557889_<12> × 637682333731_<12> × 1003045981013_<13> × 1653484945663_<13> × [1421287993..._<733>] × [6366860947..._<1507>] × [1845437078..._<4509>] (0.97%)

10⁶⁸¹⁴+1 = 1000000000..._<6815> = 101 × [9900990099..._<6812>] (0.03%)

10⁶⁸¹⁵+1 = 1000000000..._<6816> = 11 × 59 × 1451 × 5641 × 6299 × 9091 × 20681 × 21997411 × 30104611 × 58765601 × 10101561011_<11> × 19642629161_<11> × 2433146345771_<13> × 4855067598095567_<16> × 17996132431060961_<17> × 1585582793237209531_<19> × 28010436544042930661731_<23> × 154083204930662557781201849_<27> × 183524277349074336642460289_<27> × 297262705009139006771611927_<27> × 3313107852051073288994404260571_<31> × 9786272766548023124601100893556320774114­4491224418517422691228321_<65> × 4286364887150220673583225059177107721806­0654759722155521252580860689593571157627­9570184017568300401917094195916970808292­9486830943679876008361716880663960188314­299305481_<169> × [1129499838..._<1204>] × [1652312402..._<5120>] (7.23%)

10⁶⁸¹⁶+1 = 1000000000..._<6817> = 193 × 769 × 13633 × 19841 × 976193 × 6187457 × 9044832001_<10> × 2081538294529_<13> × 126133355633281_<15> × 252214668571009_<15> × 834427406578561_<15> × 1253224535459902849_<19> × 67913977477507190977_<20> × 5376349118996722135857554610727903470969­7_<41> × [5815386922..._<2222>] × [3100884447..._<4424>] (2.51%)

10⁶⁸¹⁷+1 = 1000000000..._<6818> = 11 × 103 × 4013 × 4813 × 12061085521_<11> × 21993833369_<11> × 4488792458298882059329_<22> × 36265150972281249276757_<23> × 81105898332609938445063487_<26> × 2971245460182291007178927517460929280931­723051_<46> × [1174186273..._<320>] × [3739820487..._<6352>] (2.15%)

10⁶⁸¹⁸+1 = 1000000000..._<6819> = 29 × 101 × 281 × 1949 × 4092749 × 121499449 × 1980612909521_<13> × 243067019390850341_<18> × 6546977248647714505481_<22> × 5638695788705281672279653881_<28> × [3362266856..._<913>] × [2097952895..._<5803>] (1.51%)

10⁶⁸¹⁹+1 = 1000000000..._<6820> = 7 × 11 × 13 × 504607 × 119891659 × 21609436857649_<14> × 15463040107977938034049_<23> × [1801582041..._<2267>] × [2743034729..._<4501>] (0.77%)

10⁶⁸²⁰+1 = 1000000000..._<6821> = 73 × 137 × 617 × 881 × 1489 × 12401 × 109121 × 1676321 × 5919761 × 50755681 × 4703781281_<10> × 5964848081_<10> × 8566123361_<10> × 640543322297_<12> × 830859185201_<12> × 27908132670449_<14> × 384705444182230291105649_<24> × 2681849557963953515738161_<25> × 16205834846012967584927082656402106953_<38> × 9764595466801884646728718086635575837426­3120864803042536883990817097_<68> × 1135187287173666288297388195232690124858­2292849023836549375698070374687854710556­2996594778661748013609534619750272417707­26447219069239499432349602724177071521_<158> × [2232494053..._<447>] × [1000099999..._<1201>] × [1227050766..._<4755>] (6.15%)

10⁶⁸²¹+1 = 1000000000..._<6822> = 11 × 25849 × 81853 × 103556423 × 909090909090909091_<18> × 926757098295784807_<18> × 19210610797963667218565939_<26> × 2731764846587782091546914066524656594612­608438032609803989298453_<64> × [6701608956..._<265>] × [1400280760..._<6414>] (2.10%)

10⁶⁸²²+1 = 1000000000..._<6823> = 101 × 4549 × 9901 × 6847309621_<10> × 277245970849_<12> × 999999000001_<12> × 70488629165410024923533836947449_<32> × 44887575928905286113423498281744593061_<38> × [6878875859..._<683>] × [3642970849..._<1501>] × [1460429066..._<4527>] (1.65%)

10⁶⁸²³+1 = 1000000000..._<6824> = 11 × 109169 × 235461731 × 4440175640179_<13> × [7965031550..._<6796>] (0.40%)

10⁶⁸²⁴+1 = 1000000000..._<6825> = 17 × 5882353 × 499230635866943521_<18> × 1139770125938015534257_<22> × [1757444008..._<6778>] (0.69%)

10⁶⁸²⁵+1 = 1000000000..._<6826> = 7² × 11 × 13² × 127 × 131 × 157 × 211 × 241 × 251 × 859 × 1051 × 2161 × 2689 × 2731 × 5051 × 5851 × 6397 × 9091 × 15601 × 102103 × 107251 × 216451 × 257401 × 459691 × 909091 × 925081 × 1160251 × 4147571 × 4271801 × 5528251 × 21705503 × 1058313049_<10> × 3612546001_<10> × 6097697971_<10> × 29970369241_<11> × 82009322851_<11> × 299547376801_<12> × 388847808493_<12> × 2475034612051_<13> × 78875943472201_<14> × 1081846114760321_<16> × 1661378260814161_<16> × 46205575684179731_<17> × 265212793249617641_<18> × 1228724942316198601_<19> × 318942474614140390001_<21> × 3146327779391852182051_<22> × 18276168846821336356291_<23> × 22771401850597648936801_<23> × 541368850415085015591451_<24> × 16586780973303009819357826001_<29> × 17911809459808314248342142601_<29> × 23281905657338518494799021801_<29> × 5953395590224596670581957589121611_<34> × 1000009999999998999989999900000000010000­1_<41> × 8396862596258693901610602298557167100076­327481_<46> × 5009499553764433156007921686514205741644­754894222691_<52> × 5067838741170388910175912578529043989438­9920385627096501794498837_<65> × 2497196984921216324165698954266700684929­8004553698828087959894069143145851_<74> × 5155980583494268934255123245395069977106­0820328070035168090472947360446489351242­6851_<84> × 6305412991157180194163926340576846142599­9152026392552531582926655481271974023945­336611_<86> × 2968977772769512973288048599442977679186­2651873860748152980797376212977017452165­562616616651_<92> × 9241137585308473837647875304009126599764­6354969374382095286967217633444509064918­2638712486115217201_<99> × 1618471741300957926037194539868177094144­6381711386794528198581933829095273175764­3195331250705338664714884091786251_<114> × 8912569571903773640423787742857701624820­8359196996259570335036011683389233510270­8227868827645523726121474392613340538475­7726021771250608797_<139> × 1466817919595327188231351160432180116180­2135429614673632851403034957825865582773­9679483747341180926907303679883240476304­5989876001215861751553184924252035281973­147552669068625063450431325422201_<193> × [2851916488..._<443>] × [2004998801..._<523>] × [9063284428..._<1370>] × [8618910908..._<2874>] (23.68%)

10⁶⁸²⁶+1 = 1000000000..._<6827> = 101 × 68261 × 284848981 × [5092034175..._<6811>] (0.22%)

10⁶⁸²⁷+1 = 1000000000..._<6828> = 11 × 129131898867841_<15> × 1110738208022921_<16> × [6338143478..._<6797>] (0.44%)

10⁶⁸²⁸+1 = 1000000000..._<6829> = 73 × 137 × 99990001 × [9999000099..._<2272>] × [1000099999..._<4545>] (0.18%)

10⁶⁸²⁹+1 = 1000000000..._<6830> = 11 × 39334016329742515137703_<23> × 59693295415512449994642571_<26> × 908041563547594813768726481_<27> × [4263907141..._<6753>] (1.12%)

10⁶⁸³⁰+1 = 1000000000..._<6831> = 101 × 3541 × 27961 × 710321 × 1161101 × 2472461 × 10695781 × 438007901 × 81760309771009_<14> × 12213585388985849881_<20> × 926417842242749136470441_<24> × 3731377440815822646964361_<25> × 143149335873792448113647122021_<30> × [1704831430..._<1345>] × [5780493071..._<2652>] × [2149581869..._<2680>] (2.26%)

10⁶⁸³¹+1 = 1000000000..._<6832> = 7 × 11² × 13 × 19 × 23² × 47 × 139 × 2531 × 4093 × 7129 × 8779 × 31051 × 52579 × 176089 × 1694089 × 6866927 × 70541929 × 599144041 × 7093127053_<10> × 14175966169_<11> × 37916801893_<11> × 74378092807_<11> × 183411838171_<12> × 272168891611_<12> × 143574021480139_<15> × 201548060483167_<15> × 549797184491917_<15> × 2590966935381529_<16> × 143409436964525899_<18> × 287153457443328169_<18> × 776471438412978001_<18> × 134411715692212607377411_<24> × 831759677425747570837717_<24> × 2414667616251762189340783_<25> × 8927244623941181398233253_<25> × 24649445347649059192745899_<26> × 1866763546567680996103417376059_<31> × 117680633072620952134930832292859_<33> × 2832165561296805799533565929552471103_<37> × 734596899604121334094674312265986668491_<39> × 1880709802856952955373413305337158032187­793270681_<49> × 1411225248778861822822335393177961449383­05111168717_<51> × 1129703083824398594017269473417407045549­51737408511354573_<57> × 7450755712209696453100606651478898442343­8931950911932421947947339_<65> × 5181616821054419379398089043147253841557­1334188381106616809835077169803782358320­2138442087113080605799348512678760456904­9916282420132402437223582964524090767945­91284845951908904139995059681_<189> × 2762606195..._<347> × [8634288537..._<369>] × [4735902820..._<1264>] × [2278252766..._<3939>] (18.45%)

10⁶⁸³²+1 = 1000000000..._<6833> = 353 × 449 × 641 × 673 × 1409 × 27329 × 40993 × 69857 × 683201 × 10214796481_<11> × 43735845217_<11> × 315019284161_<12> × 2088891872586459868003553_<25> × 17782554637005831866125656641_<29> × 217860610452031121598489279950204653537_<39> × 1559440092962140541006269160037944071573­04353_<45> × [7743782691..._<944>] × [1411522924..._<5688>] (2.94%)

10⁶⁸³³+1 = 1000000000..._<6834> = 11 × 90662526223_<11> × 231219022948051_<15> × [4336665620..._<6807>] (0.39%)

10⁶⁸³⁴+1 = 1000000000..._<6835> = 101 × 269 × 409 × 3061 × 4021 × 9901 × 13669 × 1243789 × 1963369 × 5969449 × 28559389 × 134703241 × 260587121 × 1491383821_<10> × 475388963221_<12> × 60293386247761_<14> × 213172394349469_<15> × 225974065503889_<15> × 331216784370361_<15> × 2324557465671829_<16> × 94927228208573594069_<20> × 1897897878488091648661_<22> × 2519152801205991673141_<22> × 550851521313164297656169_<24> × 411108592242640071999067201_<27> × 44398000479007997569751764249_<29> × 2302527353565357450759725122262880394277­261_<43> × 1607103056527759457698658255252179917706­5559188277159741_<56> × 5869910682..._<217> × [1833524935..._<2089>] × [1283030992..._<4132>] (8.99%)

10⁶⁸³⁵+1 = 1000000000..._<6836> = 11 × 9091 × 3485851 × 1687839304405651_<16> × [9090909090..._<1366>] × [1869598825..._<5443>] (0.39%)

10⁶⁸³⁶+1 = 1000000000..._<6837> = 73 × 137 × 41017 × 293852297 × 91828080477409_<14> × [9034166366..._<6805>] (0.45%)

10⁶⁸³⁷+1 = 1000000000..._<6838> = 7 × 11 × 13 × 3499 × 2784091 × 57009401 × 2182600451_<10> × 54137839415767_<14> × 462345353724600613_<18> × 917813298871770308465539_<24> × 7306116556571817748755241_<25> × 26526333976234009593263527_<26> × 8558521377558885170560719135529_<31> × 3047680368470744910648946080146958676329­97_<42> × 3605696680890791382725432167911038465896­663_<43> × 9090909090909090909090909090909090909090­909090909091_<52> × [1099999999..._<2185>] × [1968225683..._<4351>] (4.43%)

10⁶⁸³⁸+1 = 1000000000..._<6839> = 101 × 521 × 5261 × 119929 × 15898254269_<11> × 1900381976777332243781_<22> × 13268398183394556944627542607703521_<35> × [1182680989..._<482>] × [6352898770..._<6278>] (1.16%)

10⁶⁸³⁹+1 = 1000000000..._<6840> = 11 × 909091 × [9090909090..._<976>] × [1099999890..._<5857>] (0.10%)

10⁶⁸⁴⁰+1 = 1000000000..._<6841> = 17 × 8929 × 134369 × 246241 × 1231201 × 1532161 × 5070721 × 5882353 × 1132716961_<10> × 1321843681_<10> × 31735795756961_<14> × 1893264050599841_<16> × 9999999900000001_<16> × 605360806791076801_<18> × 11858989716142473270529_<23> × 19721061166646717498359681_<26> × 281259985248437790051014401_<27> × 7865110274657230201779070033_<28> × 31388506438433752927908678241_<29> × 1119946242580356142905139433307201254339­79169_<45> × 2814641885695164503279574218840160746078­05300753_<48> × 2582785559040998185916696136639544586696­154922477921_<52> × 2345046820394523854722286018373912171012­6330850830571913874990515654086653442723­8711769806579683320997636600725852987602­204289_<126> × 3871788722449359058897720807807102936880­4554488143036175468457327094122416016469­8232378629400751141017399632124896823872­033355066626985720481_<141> × 4517228317..._<213> × [2799983374..._<549>] × [8432421512..._<842>] × [5075107320..._<1120>] × [9999999999..._<3456>] (12.78%)

10⁶⁸⁴¹+1 = 1000000000..._<6842> = 11 × 90629569 × 159299527 × [6296843707..._<6824>] (0.25%)

10⁶⁸⁴²+1 = 1000000000..._<6843> = 89 × 101 × 4064149 × 423793481 × 1052788969_<10> × 1056689261_<10> × 5429774116113689_<16> × 20270411022697016392828178929_<29> × [4884454532..._<592>] × [1079980010..._<6170>] (1.19%)

10⁶⁸⁴³+1 = 1000000000..._<6844> = 7 × 11 × 13 × 13687 × 232663 × 5157583830415157_<16> × [1287812843..._<2261>] × [4723145059..._<4555>] (0.41%)

10⁶⁸⁴⁴+1 = 1000000000..._<6845> = 73 × 137 × 233 × 82129 × 355193 × 131226857 × 395026241 × 21591416633_<11> × 6218964172073_<13> × 3410758635375200561_<19> × 17468739848498438039329935679794457_<35> × 3203269941631699433842950669924393166558­40979654890345228609_<60> × 3239493798040303234394148031888008631830­7142570248235727782772042697_<68> × 3683701505731300609663453679558774823033­6921494253255771361450341226561526611901­3587242450010428631327583370287498472127­46321_<125> × [9279491219..._<6483>] (5.28%)

10⁶⁸⁴⁵+1 = 1000000000..._<6846> = 11 × 7253 × 9091 × 13691 × 9862277 × 1486840783_<10> × 422650073734453_<15> × 49173925574833481_<17> × 296557347313446299_<18> × 45066096225980960902275041_<26> × 961583576338166687686823020221823_<33> × 2236935504439282957619836393526121214605­1995578845131526611800779453430519897692­8924538425776038404154454146973428926799­68594131_<128> × [7092042045..._<1283>] × [1620745744..._<5299>] (3.86%)

10⁶⁸⁴⁶+1 = 1000000000..._<6847> = 29 × 101 × 281 × 9901 × 142789 × 182561 × 226549 × 479221 × 3203929 × 26269081 × 121499449 × 43894635121_<11> × 144347759389_<12> × 498698470009_<12> × 532417220509_<12> × 4458192223320340849_<19> × 858108826258385082629821_<24> × 6955072550685324276681371749_<28> × 76232914055207003005318654163381_<32> × 448790289019202435089828835874995221_<36> × 2604342325..._<281> × [5893683975..._<600>] × [2496229988..._<1916>] × [7226408392..._<3814>] (7.55%)

10⁶⁸⁴⁷+1 = 1000000000..._<6848> = 11 × 1547423 × 1807609 × 63716179 × 15723423413_<11> × 104253124351567_<15> × 2670502781396266997_<19> × 116011189311149998139_<21> × 272828068791212993437_<21> × 1957130855065252356727_<22> × 3404193829806058997303_<22> × 3015252949189504320875202981299415587115­51656822567015411_<57> × 1495012804425531262945788741160430069296­6728690551568705030373_<62> × [1225809802..._<6583>] (3.87%)

10⁶⁸⁴⁸+1 = 1000000000..._<6849> = 13697 × 1265011073_<10> × 15343168188889137818369_<23> × 515217525265213267447869906815873_<33> × [7300868803..._<6780>] (0.99%)

10⁶⁸⁴⁹+1 = 1000000000..._<6850> = 7 × 11 × 13 × 19 × 4567 × 9133 × 52579 × 575317 × 7150357 × 39436456769_<11> × 631991420209_<12> × 9194565524902920080058347583331_<31> × [2524038465..._<746>] × [2616955778..._<1486>] × [3850241421..._<4536>] (1.21%)

10⁶⁸⁵⁰+1 = 1000000000..._<6851> = 101 × 2741 × 3541 × 8221 × 27961 × 60101 × 7019801 × 54608201 × 160290001 × 576331601 × 718606649 × 749951701 × 10594182601_<11> × 40160350429_<11> × 362891449901_<12> × 14103673319201_<14> × 25667599314241_<14> × 318831012420101_<15> × 1680588011350901_<16> × 211698927195449935456001_<24> × 1162189716340920020122388752813866270290­3389700229845471814520224606678003269_<77> × 1651732052430074361873884440693609861769­5618777824638973482226860357598268750671­20033981_<88> × 1787200496861286618900231467023837716197­2593284478273496546834241991015492882367­4286045929_<90> × [3930789898..._<523>] × [1393355863..._<531>] × 2407629726..._<2678> × [1348892771..._<2685>] (45.45%)

10⁶⁸⁵¹+1 = 1000000000..._<6852> = 11 × 103 × 859 × 4013 × 1068757 × 5932967 × 195886211 × 1058313049_<10> × 21993833369_<11> × 344954191876997_<15> × 6917979239326637_<16> × 70919383630417672662131_<23> × 241608022841545076962493_<24> × 909090909090909090909090909091_<30> × 35065183927133465514193983196961_<32> × 2016492306990976282439501774196098215666­169_<43> × 2511017297567032888250549092510706855294­9771_<44> × 3223223954501479327423165941405274903133­0269145707941726306320382914993613593752­90791990253041841_<97> × [1601447471..._<321>] × [4380694633..._<437>] × [5933966066..._<5724>] (5.41%)

10⁶⁸⁵²+1 = 1000000000..._<6853> = 73 × 137 × 27409 × 99990001 × 584041610518129_<15> × 84476666163602736427766705113_<29> × [1183640471..._<2252>] × [6247502614..._<4541>] (0.88%)

10⁶⁸⁵³+1 = 1000000000..._<6854> = 11² × 23 × 179 × 463 × 3739 × 3917 × 4093 × 8779 × 17623 × 24179 × 68531 × 100927 × 590437 × 909091 × 4688699 × 7444361 × 12147237304901893_<17> × 4539402627853030477_<19> × 5807523316454901889_<19> × 4924630160315726207887_<22> × 4180967272673252032291190917188955510245­874180001164839931077197586653_<70> × [6216951209..._<513>] × [1593526435..._<873>] × [2284174753..._<5257>] (3.09%)

10⁶⁸⁵⁴+1 = 1000000000..._<6855> = 101 × 1289 × 10729 × 13709 × 607921 × 3372169 × 933747698921_<12> × 18371524594609_<14> × 98581337218367849_<17> × 136916416686052955621_<21> × 17303517253012077157833541_<26> × 1907495743862779645443354481_<28> × 4181003300071669867932658901_<28> × 1246367109888271888132768540089063179396­3396331809714158641277443477408779299864­7883415860929015950835202718655751629188­29366361_<128> × 8895507508554837180752614096475159767380­8146087064792094397309434551286882432924­3742140819672454584022003887892748841995­5380770391177802169_<139> × [7190913229..._<6420>] (6.33%)

10⁶⁸⁵⁵+1 = 1000000000..._<6856> = 7 × 11 × 13 × 211 × 241 × 2161 × 9091 × 16453 × 1247611 × 2804755241_<10> × 199276489717_<12> × 933702992891_<12> × 94817351931121_<14> × 35952035978808116155158211_<26> × 127539278618607069275328998039143_<33> × [1626508293..._<436>] × [4197496653..._<870>] × [1242486758..._<1799>] × [2531175426..._<3623>] (1.89%)

10⁶⁸⁵⁶+1 = 1000000000..._<6857> = 17 × 150833 × 452497 × 5882353 × 698431058849_<12> × [2097801436..._<6826>] (0.45%)

10⁶⁸⁵⁷+1 = 1000000000..._<6858> = 11 × 41143 × [2209588287..._<6852>] (0.08%)

10⁶⁸⁵⁸+1 = 1000000000..._<6859> = 101 × 109 × 509 × 3049 × 7621 × 9901 × 86869 × 153469 × 70983349 × 999999000001_<12> × 47363086944961_<14> × 465221393309989_<15> × 503340347310181_<15> × 621385610460229_<15> × 1643031444531412945030981_<25> × 59779577156334533866654838281_<29> × 2844397351..._<214> × [1980578281..._<453>] × [1000000999..._<1513>] × [2149514219..._<4522>] (5.43%)

10⁶⁸⁵⁹+1 = 1000000000..._<6860> = 11 × 43321 × 2469241 × 112144608847_<12> × 56092661401397237_<17> × 909090909090909091_<18> × 5140192330491733331414521378576126342075­768810496980939_<55> × 3223374037812410694155224757327965568352­798312019085047331_<58> × 1393193546..._<226> × [6438016327..._<6464>] (5.76%)

10⁶⁸⁶⁰+1 = 1000000000..._<6861> = 73 × 137 × 7841 × 63113 × 631121 × 851761 × 925121 × 1399441 × 1676321 × 2077601 × 5515441 × 5964848081_<10> × 52781463673_<11> × 64551694481_<11> × 2661988743121_<13> × 29055629599361_<14> × 1300299931892081_<16> × 127522001020150503761_<21> × 1578625853663873588077841_<25> × 30701998710396997786419121_<26> × 5010620991340707523594168804430658367520­003649793780623118456073_<64> × 1174155661036370531158387153086358732085­7611583542802499879661077461752756934163­45665039841_<91> × 3781177083560380583441154025352663121070­1509683070486332093588590272731625338812­99502797579969_<94> × [1387896081..._<585>] × [1584459620..._<1172>] × [2445689648..._<4660>] (6.49%)

10⁶⁸⁶¹+1 = 1000000000..._<6862> = 7 × 11 × 13 × 343051 × 9303517 × 1530044167_<10> × 284734803455494213_<18> × [9771475766..._<2279>] × [7352844742..._<4540>] (0.61%)

10⁶⁸⁶²+1 = 1000000000..._<6863> = 101 × 45121 × 5911541 × 16692085818029_<14> × 5774294197526381_<16> × 182202742802607835615596881_<27> × 2144906157509411684424913774078958939881_<40> × 1023037643093214557651333120422980213172­396059301_<49> × 9537037576103752545861071409967321761728­9990894179079867527663488171910160934607­69_<82> × [1009999999..._<6625>] (3.47%)

10⁶⁸⁶³+1 = 1000000000..._<6864> = 11 × 86097817409_<11> × 1633599701514569_<16> × 45065162809982105760749743_<26> × 195439561003769365976357936936896907327_<39> × [7338648798..._<6772>] (1.33%)

10⁶⁸⁶⁴+1 = 1000000000..._<6865> = 97 × 353 × 449 × 641 × 1409 × 11969 × 69857 × 123553 × 206209 × 4913921 × 8744737 × 19725473 × 57653857 × 310348897 × 4694971009_<10> × 35439976001_<11> × 40336502753_<11> × 66554101249_<11> × 470909313601_<12> × 3509683416097_<13> × 4534037883233_<13> × 75118313082913_<14> × 754651871841089_<15> × 4155351649525441_<16> × 49190086416352961_<17> × 5367040793067463072993_<22> × 3610577595400972880729372479797253529720­5518185340826569980047852155932659115309­4457376181755912540092512773699689532234­798987224827675649_<138> × 3385712628753289239019454468275018070505­6727269149496594755320455272870740814407­0214357217318801663936431733367877452215­20888878951616858121601_<143> × [8093692585..._<315>] × [8890597240..._<351>] × [5713513878..._<1876>] × [2130680598..._<3812>] (7.45%)

10⁶⁸⁶⁵+1 = 1000000000..._<6866> = 11 × 9091 × 2306641 × 29169236717_<11> × [1351145884..._<1356>] × [1099989000..._<5489>] (0.32%)

10⁶⁸⁶⁶+1 = 1000000000..._<6867> = 101 × 137321 × 39411114641_<11> × 1553520503018789_<16> × [1177622138..._<6834>] (0.48%)

10⁶⁸⁶⁷+1 = 1000000000..._<6868> = 7² × 11 × 13 × 19 × 127 × 2689 × 9157 × 52579 × 283837 × 459691 × 909091 × 2403451 × 3758539 × 5274739 × 7647877 × 17788583 × 698041903472047_<15> × 3338786746233023_<16> × 48062771745512131_<17> × 8333861613298742126117_<22> × 2862847749871640077397299_<25> × 189772422673235585874485732659_<30> × 14060959683864286267405933000927102019_<38> × 1936438332114871929518057885332574185585­8987848620134943_<56> × 1098901098..._<217> × [2614183051..._<614>] × [2723230294..._<625>] × [2644046937..._<1286>] × [2079940464..._<3843>] (7.30%)

10⁶⁸⁶⁸+1 = 1000000000..._<6869> = 73 × 137 × 686801 × 152533657 × 160598125249_<12> × 2939383982345593_<16> × 6555274617188258326423007086888436687780­3237222654400793_<56> × [9999000099..._<400>] × [3084719749..._<6368>] (1.46%)

10⁶⁸⁶⁹+1 = 1000000000..._<6870> = 11 × 92030863 × 2779183663_<10> × [3554320382..._<6851>] (0.27%)

10⁶⁸⁷⁰+1 = 1000000000..._<6871> = 61 × 101 × 2749 × 3541 × 9901 × 27481 × 27961 × 1868641 × 3517441 × 4188901 × 39526741 × 64083361 × 3269576042561_<13> × 49392971166181_<14> × 200979643441189_<15> × 445259998432021_<15> × 552153310394909_<15> × 12327385417533061_<17> × 316898171772439441_<18> × 1158022012504343321_<19> × 164938889757660593881_<21> × 1858724886098202636896329_<25> × 2066661541003555003137961_<25> × 16419871362498643531654501_<26> × 49387230993268625648913499473701_<32> × 55716151681286950012687536379206961_<35> × 73693559640560651144759066161216801_<35> × 1548452449774981487124114738255451081759­501_<43> × [5825202438..._<389>] × 2158832693..._<824> × [3015813170..._<833>] × [5433827230..._<888>] × [2217081119..._<1748>] × [5832877620..._<1773>] (18.06%)

10⁶⁸⁷¹+1 = 1000000000..._<6872> = 11 × 9889897529_<10> × 72017870397560093_<17> × [1276366062..._<6844>] (0.41%)

10⁶⁸⁷²+1 = 1000000000..._<6873> = 17 × 5882353 × [9999999900..._<6864>] (0.12%)

10⁶⁸⁷³+1 = 1000000000..._<6874> = 7 × 11 × 13 × 59 × 1423 × 4583 × 6637 × 18329 × 96223 × 132247 × 9615060929_<10> × 29755595059_<11> × 638453709757_<12> × 135080726389891_<15> × 18950797008074364938904001_<26> × 154083204930662557781201849_<27> × 13887219620382058202203626691_<29> × 1274194732898148471766404179653_<31> × 6644317454149057909799751015802107695839­2938976011506949065646573_<65> × 1251990291329257796002278912741887225923­3625083098068343593414449482912759813271­7422361832740215079208573831826637913864­4493775947105115101637978649_<148> × [1360896708..._<2172>] × [1162063790..._<4305>] (5.79%)

10⁶⁸⁷⁴+1 = 1000000000..._<6875> = 29 × 101 × 281 × 121499449 × 17591256444003575964569_<23> × 5628358685..._<958> × [1009999999..._<5881>] (14.46%)

10⁶⁸⁷⁵+1 = 1000000000..._<6876> = 11² × 23 × 251 × 331 × 4093 × 5051 × 5171 × 8779 × 9091 × 21001 × 160001 × 162251 × 10893295001_<11> × 20163494891_<11> × 38269932251_<11> × 1501539197401_<13> × 5927629818001_<13> × 50779597795001_<14> × 78875943472201_<14> × 3009650404200001_<16> × 128372635774581251_<18> × 318727841165674579776721_<24> × 1491273678477173069027664948012233844398­077028447940172193498801_<64> × 2694097928717316276645861946622812338537­0101110890672605575327268108228244170925­1_<81> × 4465913598704727073384813828260919399277­9311307114487270946545676364972087041313­9655504580355083737497402271316272090387­23801_<125> × [9587725422..._<464>] × [4408199414..._<977>] × [3322645044..._<4985>] (6.54%)

10⁶⁸⁷⁶+1 = 1000000000..._<6877> = 73 × 137 × 3169 × 55009 × 98641 × 161969 × 5056153 × 99990001 × 3199044596370769_<16> × 8464809710844890517494016141257_<31> × [7293021137..._<724>] × [1977986030..._<1514>] × [1817884346..._<4556>] (1.22%)

10⁶⁸⁷⁷+1 = 1000000000..._<6878> = 11 × 47 × 139 × 859 × 2531 × 1058313049_<10> × 32494323733_<11> × 549797184491917_<15> × 49488508644018419_<17> × 1281657376897297354090423403366881099978­010686253604381263_<58> × 7569117043210563816993730850591392451422­8814615635050477687293_<62> × 3489538705139086365663259641191165613827­7584475667020313941336914546684355923986­2216107575333780861060309557540714055579­224966141897413_<135> × [2020671116..._<490>] × [1000000000..._<6073>] (4.59%)

10⁶⁸⁷⁸+1 = 1000000000..._<6879> = 101 × 41269 × 14278729 × 928417781 × 14990807341_<11> × 469968172441_<12> × 2136569912461_<13> × 15470952779187481_<17> × 722817036322379041_<18> × 1369778187490592461_<19> × 261483550891550313401_<21> × 3467369151629862044701_<22> × 314547891171506427278717744569_<30> × 3070906950345823080010940982444870941_<37> × 2278010629257235173065873023473821640439­4547689_<47> × 2763057708..._<214> × [1423874863..._<6402>] (6.93%)

10⁶⁸⁷⁹+1 = 1000000000..._<6880> = 7 × 11 × 13 × 9173 × 9231619 × 2739578549689772712241_<22> × 27959700408688579838039401_<26> × [3918630296..._<2260>] × [3930303554..._<4559>] (0.88%)

10⁶⁸⁸⁰+1 = 1000000000..._<6881> = 2753 × 19841 × 976193 × 6187457 × 67867073 × 503698561 × 11589149004161_<14> × 36808442529857_<14> × 834427406578561_<15> × 8316321056168357161591149746561_<31> × 9999999999999999999999999999999900000000­0000000000000000000000009999999999999999­9999999999999999000000000000000000000000­00000001_<128> × [1748461124..._<1289>] × [1713080388..._<5355>] (3.45%)

10⁶⁸⁸¹+1 = 1000000000..._<6882> = 11 × 909091 × 4207098449_<10> × 1698694428019_<13> × 7099447650773_<13> × 1560691770056722282816411_<25> × 1280509349..._<970> × [9862285357..._<5846>] (15.04%)

10⁶⁸⁸²+1 = 1000000000..._<6883> = 101 × 149 × 3109 × 5209 × 9901 × 111149 × 2049349 × 708840373781_<12> × 275891662525201_<15> × 23653713304547869_<17> × 669031686661427842829_<21> × 40548140514062774758071840361_<29> × 543309565743971477870075858731741_<33> × 2228457285782705288389843210675909_<34> × 139716865184144864008269344660199946429_<39> × 4831285495545122373055545883590398223973­07149685578249_<54> × 3526711591638803594270518199285285461480­2588780637908577449241_<62> × 1387770812537486172424567765413032718466­560432631753219117445147282909788805041_<79> × [3660857275..._<2146>] × [9901000000..._<4320>] (6.05%)

10⁶⁸⁸³+1 = 1000000000..._<6884> = 11 × 26719807 × 407156983 × 3844802503_<10> × [2173392050..._<6857>] (0.39%)

10⁶⁸⁸⁴+1 = 1000000000..._<6885> = 73 × 137 × 8930603457763201_<16> × [1119633196..._<6865>] (0.29%)

10⁶⁸⁸⁵+1 = 1000000000..._<6886> = 7 × 11 × 13 × 19 × 103 × 211 × 241 × 811 × 1459 × 1531 × 2161 × 4013 × 6481 × 9091 × 29611 × 52579 × 87211 × 102001 × 2142001 × 3762091 × 5364487 × 13155859 × 70541929 × 787223761 × 832339891 × 2458921051_<10> × 14175966169_<11> × 21993833369_<11> × 213872067091_<12> × 276402747619_<12> × 291078844423_<12> × 577603663291_<12> × 2405782797823_<13> × 3503152126891_<13> × 5516286288241_<13> × 7947357582331_<13> × 8985695684401_<13> × 12804651623971_<14> × 31023833790241_<14> × 40984651817371_<14> × 41162450759641_<14> × 456502382570032651_<18> × 26199434335279059451_<20> × 377526955309799110357_<21> × 2382890985664626491011_<22> × 31724754367176043045291_<23> × 236186599173787727067007_<24> × 466075985710281121825561_<24> × 610600386089858349939139_<24> × 1872668218521867917427451_<25> × 4270914986978327797975291_<25> × 115690846857912397278375911371_<30> × 1542058095171337761407296983481_<31> × 66100563990202822332249953159641_<32> × 216219010761333454086082249502131_<33> × 8610583349234340055547908764091017276717­091_<43> × 1573934772575790000929935727527896834161­20273639369_<51> × 1602207948210144520667419183035809176643­86555934641_<51> × 1751377255623375797906517491961205878072­33668420015131_<54> × 1377206548249672561974389193550868011092­0779677692987735503476415888170706078656­81921_<85> × 3618486858661907554721447497991672856747­4724193812138011846129157788970353909164­911894611_<89> × 1556103065..._<220> × [1564512225..._<342>] × [2901274861..._<838>] × [2721416976..._<1101>] × [1030920481..._<3374>] (17.91%)

10⁶⁸⁸⁶+1 = 1000000000..._<6887> = 89 × 101 × 1052788969_<10> × 1056689261_<10> × 500608398929_<12> × 1171417416329_<13> × 123100372911781374121_<21> × 10782201818337320777350040449_<29> × 21222602903249623112275410632041_<32> × [8452145205..._<612>] × [7162386764..._<6149>] (1.82%)

10⁶⁸⁸⁷+1 = 1000000000..._<6888> = 11 × 290249 × 1776847 × 102527361354613106010527_<24> × 323338434891034089173475790125293_<33> × 2742269936605462168329562307947106658888­1_<41> × 3132106946418106835541520932340538954170­6979493156189716729115659_<65> × [6190741239..._<6714>] (2.52%)

10⁶⁸⁸⁸+1 = 1000000000..._<6889> = 17 × 113 × 337 × 151537 × 922993 × 5882353 × 6051298241_<10> × 1904211997297_<13> × 48656086054529_<14> × 3322692262850881_<16> × 9999999900000001_<16> × 73765755896403138401_<20> × 119968369144846370226083377_<27> × 2070270028985341766616009080161_<31> × 669995415570582921859463287135169_<33> × 193644560675275226950835815809152161921_<39> × 1879812448133240948450289423505051909583­4690259132073729_<56> × 1433319827159466789806966856379479179916­136529424792832495021393_<64> × 3849768706134664981729511785296829962099­5218286740952471394479857_<65> × 7004760271724732648212097668225215140540­7090546684529615189261395153318760389164­5634196734073741683247230607581692473423­461149663662946076318737_<144> × [1683860751..._<581>] × [5251516172..._<1908>] × [6599048351..._<3835>] (8.21%)

10⁶⁸⁸⁹+1 = 1000000000..._<6890> = 11 × 167 × 997 × 3565183 × 15073133 × 2097307081_<10> × 799208541809_<12> × 7742098247001476863_<19> × 1645467202721376979988632487_<28> × 9431769031413300684826029009602942998788­41_<42> × [5044836800..._<6760>] (1.88%)

10⁶⁸⁹⁰+1 = 1000000000..._<6891> = 101 × 521 × 1061 × 3541 × 4241 × 10601 × 13781 × 27961 × 41341 × 187409 × 1088621 × 1103461 × 2311921 × 5051749 × 3910405721_<10> × 5712126941_<10> × 1905365734429_<13> × 2649639318041_<13> × 1031498834064949381_<19> × 12763852652999774041_<20> × 1900381976777332243781_<22> × 12119730504567977254081_<23> × 2737820036624672031089487008281_<31> × 245391150214875249502685807421982149521_<39> × 5087682140647502286078523305727177388588­041_<43> × 7527704835280872962667987585290144803454­0173569840168229_<56> × 1866584856050670751142049533200645741569­755944852998334484263922627299824538001_<79> × 2805172226286031223906866144391265007990­6143641242161486831807501297209415587830­6621_<84> × 2253478948152507048106614680282420963102­9690388674663333618185041786620876200193­924826168812981_<95> × 3391318151708470770070462076151542769062­2077866060861977911749380448408900845560­502173926937552593567761_<104> × [1067494927..._<1219>] × [1585282594..._<2477>] × 4508310786..._<2482> (46.38%)

10⁶⁸⁹¹+1 = 1000000000..._<6892> = 7 × 11 × 13 × 29948287 × 682815409 × 83880119193499_<14> × 314051758104128053978889_<24> × 34570548950880197047394881_<26> × [4094722834..._<2231>] × [1310085285..._<4579>] (1.19%)

10⁶⁸⁹²+1 = 1000000000..._<6893> = 73 × 137 × [9999000099..._<6888>] (0.06%)

10⁶⁸⁹³+1 = 1000000000..._<6894> = 11 × 4973 × 81131 × 4426889 × 754012297125853_<15> × 1368971864920367_<16> × 105165018454783366906467915089_<30> × 1120522253011683685532152825789043757514­5023592596037161_<56> × 4129431088139783859996416179822426674855­1911970994071194269355370951724011428162­9255685010553886849303_<102> × [1013324239..._<6662>] (3.37%)

10⁶⁸⁹⁴+1 = 1000000000..._<6895> = 101 × 9901 × 13789 × 82729 × 183769529 × 31867767781_<11> × 999999000001_<12> × 15345447877504704592586558701_<29> × [5387721322..._<756>] × [2065331302..._<1490>] × [8766169987..._<4575>] (1.07%)

10⁶⁸⁹⁵+1 = 1000000000..._<6896> = 11 × 9091 × 15761 × 909091 × 1262771 × 4147571 × 7187743 × 291355121 × 354468025367_<12> × 2034645175027837_<16> × 265212793249617641_<18> × 429816561541372783_<18> × 300567477887394052365757_<24> × 2981135546329774264561581279152244652468­7_<41> × 8955859986822981751383809840603974861999­2979640045275602892542651788927814470345­4003289742054897931501863508835947629446­3_<121> × [8710914331..._<778>] × [3548491321..._<1132>] × [3120247510..._<4696>] (4.21%)

10⁶⁸⁹⁶+1 = 1000000000..._<6897> = 353 × 449 × 641 × 1409 × 69857 × 2772193 × 29967574817_<11> × 3392753012843617_<16> × [3547910815..._<6848>] (0.70%)

10⁶⁸⁹⁷+1 = 1000000000..._<6898> = 7 × 11³ × 13 × 23 × 419 × 727 × 1453 × 4093 × 4357 × 8779 × 25169 × 40129 × 85691 × 258743 × 1458973 × 1485397 × 599144041 × 183411838171_<12> × 196339580053_<12> × 3370668927517_<13> × 3481311540961_<13> × 27535507760641_<14> × 909090909090909091_<18> × 183614338408461260983_<21> × 102502981431359171598893_<24> × 753201806271328462547977919407_<30> × 9493467562479980587204226253298411_<34> × 6379603923183116557572498736754081808902­892003349145377489_<58> × 5444710013725792963322916526756467746442­08265246405598834086237345292487_<72> × 2300111929073857464892068185683115329358­0786040140280069899850949772147842028933­1088499239362108691_<99> × 1182246711440634704950850917318118767490­3268156244494414655679899332039067660980­127211497142614121477521_<104> × 1184063086040147380329868803939835534836­9873648652373709121433689111103721666356­9858459578047055026965068496734007753047­7246997846873893490310131726641084013831­34457213_<168> × [1907025981..._<253>] × [3631674449..._<1967>] × [1615761703..._<3928>] (10.89%)

10⁶⁸⁹⁸+1 = 1000000000..._<6899> = 101 × [9900990099..._<6896>] (0.03%)

10⁶⁸⁹⁹+1 = 1000000000..._<6900> = 11 × [9090909090..._<6898>] (0.02%)

10⁶⁹⁰⁰+1 = 1000000000..._<6901> = 73 × 137 × 401 × 1201 × 1601 × 1657 × 2393 × 18401 × 32401 × 165601 × 1676321 × 99990001 × 1469409649_<10> × 5964848081_<10> × 371928886588892401_<18> × 136197599471354854833601_<24> × 1071705393820118955003204401_<28> × 38115215074391056784287931569_<29> × 100009999999899989999000000010001_<33> × 114153262735785998007938128909921_<33> × 4711806100010561082466291127577601_<34> × 4482637729513780747000872935673625025127­940754401_<49> × 1296944190290577505513857711845642744990­75700947656757821537291527196801_<72> × 1461236573124057038200579394128634953625­7260783370326347124974631092755601_<74> × 4178437150016715837818641871709193476807­7726285039694944003301299623485206849143­75257_<85> × 1077654773020602154835873595438016994801­5708115427100064296791127608890484017725­6002837849579935964678132636853002039998­6158679489264953_<136> × [1000099999..._<353>] × [8759276660..._<672>] × [5070877955..._<1729>] × [1192086258..._<3475>] (9.76%)