10⁴¹⁰¹+1 = 1000000000..._<4102> = 7 × 11 × 13 × 2501784060079742341761786602162653_<34> × [9090909090..._<1366>] × [4392469823..._<2699>] (0.89%)

10⁴¹⁰²+1 = 1000000000..._<4103> = 29 × 101 × 281 × 121499449 × 71998920504955195737199923877309_<32> × 9900990099..._<584> × [1402798809..._<3473>] (15.35%)

10⁴¹⁰³+1 = 1000000000..._<4104> = 11² × 23 × 4093 × 8779 × 229769 × 3077251 × 4111207 × 1699807253_<10> × 161823323273767_<15> × 90060564940204590241091_<23> × 31789742592325236493677867077_<29> × 216526856157522033346992833381986034131_<39> × [1466472307..._<283>] × [1375714109..._<3679>] (3.48%)

10⁴¹⁰⁴+1 = 1000000000..._<4105> = 17 × 433 × 8929 × 134369 × 5882353 × 31735795756961_<14> × 53942224779217_<14> × 9999999900000001_<16> × 11858989716142473270529_<23> × 7865110274657230201779070033_<28> × 26937321489140311724240726353_<29> × 491413179769291800875985377355914924161_<39> × 1119946242580356142905139433307201254339­79169_<45> × 4232900250529425111937171375069484185923­9120433_<47> × 2814641885695164503279574218840160746078­05300753_<48> × 1110266584647997728109718848212718399455­29173378999198369_<57> × 2345046820394523854722286018373912171012­6330850830571913874990515654086653442723­8711769806579683320997636600725852987602­204289_<126> × 4517228317..._<213> × [8432421512..._<842>] × [6882032767..._<2550>] (17.35%)

10⁴¹⁰⁵+1 = 1000000000..._<4106> = 11 × 6569 × 9091 × [1383910654..._<817>] × [1099989000..._<3281>] (0.21%)

10⁴¹⁰⁶+1 = 1000000000..._<4107> = 101 × 5484047509_<10> × 1796790729286143469_<19> × [1004800678..._<4077>] (0.73%)

10⁴¹⁰⁷+1 = 1000000000..._<4108> = 7 × 11 × 13 × 223 × 4663 × 7253 × 9862277 × 1486840783_<10> × 8427128058379_<13> × 422650073734453_<15> × 1805584170432451_<16> × 296557347313446299_<18> × 21606064498691505246200058094681_<32> × 48911689110891303706174193415115219_<35> × [6819591153..._<1316>] × [6572077375..._<2636>] (3.78%)

10⁴¹⁰⁸+1 = 1000000000..._<4109> = 73 × 137 × 259121 × 1580801 × 73921249 × 6325274402021507450906224122454439230492­01_<42> × 5220170227..._<299> × [1000099999..._<3745>] (8.86%)

10⁴¹⁰⁹+1 = 1000000000..._<4110> = 11 × 8219 × 909091 × 1846703 × 1685626853_<10> × 742717206381529_<15> × 430331915171209585201_<21> × 2362816652618921835221783244380759723147­543115253_<49> × 5527676368590841833832033131973595934146­27006389177727_<54> × [8758587490..._<457>] × [1069027149..._<3489>] (3.99%)

10⁴¹¹⁰+1 = 1000000000..._<4111> = 61 × 101 × 2741 × 3541 × 8221 × 9901 × 27961 × 4188901 × 39526741 × 718606649 × 40160350429_<11> × 25667599314241_<14> × 318831012420101_<15> × 1692980828497201_<16> × 144389656548047821_<18> × 57471429069785276863021_<23> × 2834523818368583744706086149_<28> × 16254031864650930002850269462824009_<35> × 6097790664173896352923803646734195061_<37> × 45590288211884086268396615267733422521_<38> × 1162189716340920020122388752813866270290­3389700229845471814520224606678003269_<77> × 1651732052430074361873884440693609861769­5618777824638973482226860357598268750671­20033981_<88> × 1787200496861286618900231467023837716197­2593284478273496546834241991015492882367­4286045929_<90> × [1518251219..._<466>] × [3930789898..._<523>] × [1393355863..._<531>] × [5375416289..._<999>] × [6809544655..._<1065>] (12.86%)

10⁴¹¹¹+1 = 1000000000..._<4112> = 11 × 49333 × 1973281 × 52570507878501779921_<20> × [1776391480..._<4080>] (0.77%)

10⁴¹¹²+1 = 1000000000..._<4113> = 353 × 449 × 641 × 1409 × 69857 × 3732454177_<10> × 56135656173780210164257_<23> × [4772728301..._<4064>] (1.18%)

10⁴¹¹³+1 = 1000000000..._<4114> = 7 × 11 × 13 × 19 × 16453 × 52579 × 1247611 × 23781367 × 1373026339_<10> × 2804755241_<10> × 199276489717_<12> × 127539278618607069275328998039143_<33> × [1626508293..._<436>] × [4197496653..._<870>] × [3065620513..._<2720>] (2.16%)

10⁴¹¹⁴+1 = 1000000000..._<4115> = 89 × 101 × 7481 × 56629 × 170369 × 28559389 × 29606281 × 1052788969_<10> × 1056689261_<10> × 1491383821_<10> × 155623169021_<12> × 2324557465671829_<16> × 1491164086760128255001869_<25> × 2093630887738168146679697488136133045598­06235889961_<51> × 1121401477221110433681152383767817503966­1021219748532792755132723848484657089955­8676962628229357741668578262708884771183­293753569_<129> × [8675359172..._<305>] × [1000000000..._<3521>] (7.03%)

10⁴¹¹⁵+1 = 1000000000..._<4116> = 11 × 9091 × 197521 × 4029409 × 1327926961_<10> × 7966164107283358001_<19> × 1019633559336140736997_<22> × 7753645758743266660672091_<25> × [1406239579..._<771>] × [1068336824..._<3255>] (2.21%)

10⁴¹¹⁶+1 = 1000000000..._<4117> = 73 × 137 × 7841 × 8233 × 63113 × 737353 × 1482937 × 70251889 × 99990001 × 7173644689_<10> × 11189053009_<11> × 14498348929_<11> × 52781463673_<11> × 3343677109249_<13> × 604681084564369_<15> × 603812429055411913_<18> × 12671206525925939041_<20> × 127522001020150503761_<21> × 148029423400750506553_<21> × 60490967982719972099693856338929_<32> × 5010620991340707523594168804430658367520­003649793780623118456073_<64> × 3781177083560380583441154025352663121070­1509683070486332093588590272731625338812­99502797579969_<94> × [4440936647..._<279>] × [1584459620..._<1172>] × 2208988824..._<2288> (64.78%)

10⁴¹¹⁷+1 = 1000000000..._<4118> = 11 × 47 × 139 × 2531 × 13981333 × 549797184491917_<15> × 523661705392754764972834211810001059_<36> × 1736027094838023676544212358044818093424­6742941840774929827069381097446101825710­3139536333050392475382212050370542458702­92654737645806593390849_<143> × [7867633222..._<3909>] (5.05%)

10⁴¹¹⁸+1 = 1000000000..._<4119> = 101 × 349 × 569 × 7669 × 38861 × 618049 × 823601 × 42950741 × 380623849488714809_<18> × 3614404581527651125484849_<25> × 7716926518833508778689508504941_<31> × 93611382287513950329431625811490669_<35> × 1181180637520183640867963573625866958318­7541_<44> × 8251988265906196670876248348671944663928­8430446081_<50> × [7899454166..._<3882>] (5.73%)

10⁴¹¹⁹+1 = 1000000000..._<4120> = 7 × 11 × 13 × 90619 × 2306641 × 7051729 × 207712933 × 29169236717_<11> × 54629637961_<11> × 1227482389051_<13> × [1351145884..._<1356>] × [1234629352..._<2702>] (1.52%)

10⁴¹²⁰+1 = 1000000000..._<4121> = 17 × 108769 × 115361 × 5070721 × 5882353 × 20183057 × 3762354317873_<13> × 15431380585187201_<17> × 19721061166646717498359681_<26> × 3387927299665567560256245220801_<31> × 4584442447693805307021826613467885850257_<40> × [2640959222..._<752>] × [1658067197..._<3213>] (3.80%)

10⁴¹²¹+1 = 1000000000..._<4122> = 11 × 859 × 3536453 × 12198161 × 12361733 × 1058313049_<10> × 1445341847_<10> × 6800924006749893155464305961168971417625­3_<41> × 2746156096440139229939952462329743908413­73964547585372623_<57> × 1113440267..._<206> × [6239183330..._<3776>] (8.38%)

10⁴¹²²+1 = 1000000000..._<4123> = 101 × 2749 × 9901 × 41221 × 999999000001_<12> × 13484173414861_<14> × 200979643441189_<15> × 552153310394909_<15> × 695454471500592961_<18> × 10104285316847199296041_<23> × 1858724886098202636896329_<25> × 55716151681286950012687536379206961_<35> × [5825202438..._<389>] × [5433827230..._<888>] × [2560255318..._<2679>] (4.05%)

10⁴¹²³+1 = 1000000000..._<4124> = 11 × 2357 × 23561 × 240437 × 909091 × 3589367 × 1142669053_<10> × 313360308665807383_<18> × 909090909090909091_<18> × 579210707460230341693_<21> × 64500239461173164095133_<23> × 247025236977306025681323889_<27> × 909090909090909090909090909091_<30> × 6182864575832214084266614451996269641748­7_<41> × 7202140393374612642649166575446551001787­7_<41> × 2205922790442077083606417524376386662079­6477930349180699067305041042773585346008­4835527598810656311066636703627018076745­52261329_<128> × [5518505982..._<526>] × [1409438178..._<3218>] (9.22%)

10⁴¹²⁴+1 = 1000000000..._<4125> = 73 × 137 × 131969 × 1510862290798082702537_<22> × [5014870989..._<4094>] (0.73%)

10⁴¹²⁵+1 = 1000000000..._<4126> = 7 × 11² × 13 × 23 × 211 × 241 × 251 × 331 × 2161 × 4093 × 5051 × 5171 × 8779 × 9091 × 21001 × 162251 × 27581401 × 364320001 × 599144041 × 4124507971_<10> × 10893295001_<11> × 20163494891_<11> × 31527408001_<11> × 38269932251_<11> × 183411838171_<12> × 1501539197401_<13> × 5927629818001_<13> × 15334196149801_<14> × 78875943472201_<14> × 11153763122343284851_<20> × 25005172023963824973001_<23> × 124448981774280741575251_<24> × 318727841165674579776721_<24> × 19835636682880495867311241_<26> × 59244397795882902986928930001_<29> × 697584995226846644351713949856887251_<36> × 781096971351185956306280104220477251_<36> × 1000009999999998999989999900000000010000­1_<41> × 1112314101311286003379752617807870409611­285281_<46> × 1863670848562011266258031940578523676121­582933240001_<52> × 1491273678477173069027664948012233844398­077028447940172193498801_<64> × 4709825349852110182615878875374419529306­990314325041101342026868334001_<70> × 1433237164634786710375114072210425637168­8921437307256086517631268211025054763001_<80> × 2694097928717316276645861946622812338537­0101110890672605575327268108228244170925­1_<81> × 4465913598704727073384813828260919399277­9311307114487270946545676364972087041313­9655504580355083737497402271316272090387­23801_<125> × 1677390810..._<215> × [4408199414..._<977>] × [8706201580..._<1981>] (28.30%)

10⁴¹²⁶+1 = 1000000000..._<4127> = 101 × 41878901 × [2364195301..._<4117>] (0.23%)

10⁴¹²⁷+1 = 1000000000..._<4128> = 11 × 1937948407_<10> × 935505017131_<12> × 19639240590681430506197_<23> × 33151790854913948860097929_<26> × [7701712428..._<4057>] (1.70%)

10⁴¹²⁸+1 = 1000000000..._<4129> = 193 × 769 × 2753 × 19841 × 976193 × 6187457 × 67867073 × 36808442529857_<14> × 569896370965249_<15> × 834427406578561_<15> × 2729149807356097_<16> × 1253224535459902849_<19> × 8316321056168357161591149746561_<31> × 28824972281059367505346468479361_<32> × 3643612945124237739778981847633473_<34> × 5376349118996722135857554610727903470969­7_<41> × [1748461124..._<1289>] × [6121750119..._<2593>] (5.98%)

10⁴¹²⁹+1 = 1000000000..._<4130> = 11 × [9090909090..._<4128>] (0.03%)

10⁴¹³⁰+1 = 1000000000..._<4131> = 29 × 101 × 281 × 421 × 1181 × 3541 × 27961 × 3471301 × 13489841 × 35764621 × 68921441 × 121499449 × 193274561 × 430148941 × 2345476561_<10> × 3064985101_<10> × 60368344121_<11> × 347811486461_<12> × 12013233555242641_<17> × 848654483879497562821_<21> × 8505896978256278656680007081_<28> × 7503735803433205707879015469309698049518­7922731710294362515981973078279750268757­439593899891657607361_<101> × 2301758566693739922539762779746120311824­9662502388680738607258133387102794008715­4579555293851089822885094561_<108> × 2907131293216055549329555883885796814746­6786879622025096670607296574953988756486­98596222904827974545076532182201_<112> × 5206533243972275285545183925430139008788­9127034402084293408576445979072543284951­8462993794988240361058638792443956485470­8924133499713087153799930675208136094393­42049701_<168> × [1465436568..._<689>] × [1508205551..._<1383>] × [2798897498..._<1393>] (16.16%)

10⁴¹³¹+1 = 1000000000..._<4132> = 7 × 11 × 13 × 19 × 103 × 487² × 1459 × 4013 × 8263 × 52579 × 69499 × 2142001 × 5364487 × 13155859 × 67430557 × 70541929 × 832339891 × 2458921051_<10> × 4755268459_<10> × 14175966169_<11> × 21993833369_<11> × 276402747619_<12> × 291078844423_<12> × 2405782797823_<13> × 41162450759641_<14> × 456502382570032651_<18> × 26199434335279059451_<20> × 377526955309799110357_<21> × 236186599173787727067007_<24> × 610600386089858349939139_<24> × 66100563990202822332249953159641_<32> × 1573934772575790000929935727527896834161­20273639369_<51> × 8997187573495778286317613417300932207138­2277064314026460043622919594180784981981­6835925771559643276518390048146301688389­176642719947087961896703_<144> × 1556103065..._<220> × [2901274861..._<838>] × [2544996603..._<2579>] (17.31%)

10⁴¹³²+1 = 1000000000..._<4133> = 73 × 137 × 16529 × 24793 × [2439949920..._<4120>] (0.31%)

10⁴¹³³+1 = 1000000000..._<4134> = 11 × 58016020379_<11> × 174910334193848797909543979597_<30> × [8958677653..._<4092>] (0.99%)

10⁴¹³⁴+1 = 1000000000..._<4135> = 101 × 521 × 1061 × 3121 × 3181 × 8269 × 9901 × 125929 × 187409 × 5051749 × 1905365734429_<13> × 2649639318041_<13> × 53397071018461_<14> × 737788525797068814121_<21> × 1900381976777332243781_<22> × 6060517860310398033985611921721_<31> × 1650244260647104976802437090486126821_<37> × 245391150214875249502685807421982149521_<39> × 7527704835280872962667987585290144803454­0173569840168229_<56> × 1527859027945444456313697979780522416343­9540874769878797096077750173420678283300­3354137477138175037922165880989097169448­1902290134585191797407382076610594628578­4669_<164> × [1067494927..._<1219>] × [1622909011..._<2472>] (10.76%)

10⁴¹³⁵+1 = 1000000000..._<4136> = 11 × 9091 × 468313561 × 24766003601_<11> × 67367542397_<11> × 86091046049881_<14> × 6417344868309761501561_<22> × 390927994098674505122281_<24> × 851918694465828792193616615921_<30> × [2881508311..._<807>] × [2413926971..._<3205>] (3.00%)

10⁴¹³⁶+1 = 1000000000..._<4137> = 17 × 8273 × 84977 × 1687489 × 3056129 × 5882353 × 7941121 × 10100113 × 801310897 × 71306567377_<11> × 679273924591681_<15> × 17432639655812883290745409_<26> × 24675897452175673572108819041_<29> × 497739854873037449538282211022770570513_<39> × 9900879227786858424257223656804730798555­422102713108259184822982673560177_<73> × 3147442559..._<245> × [1327911929..._<3649>] (11.80%)

10⁴¹³⁷+1 = 1000000000..._<4138> = 7² × 11 × 13 × 127 × 2689 × 4729 × 15761 × 21277 × 459691 × 909091 × 7187743 × 22836241 × 2034063613_<10> × 354468025367_<12> × 2034645175027837_<16> × 429816561541372783_<18> × 5074520115156808310077_<22> × 300567477887394052365757_<24> × 22855308821408308203355677757_<29> × 371689241036286838741058891197_<30> × 2981135546329774264561581279152244652468­7_<41> × 4551047530439682198526844933441545392551­140771_<46> × 8955859986822981751383809840603974861999­2979640045275602892542651788927814470345­4003289742054897931501863508835947629446­3_<121> × [6255010304..._<278>] × [3548491321..._<1132>] × [1743531203..._<2317>] (9.94%)

10⁴¹³⁸+1 = 1000000000..._<4139> = 101 × [9900990099..._<4136>] (0.05%)

10⁴¹³⁹+1 = 1000000000..._<4140> = 11 × 9784597 × 6842222291_<10> × 126869240573_<12> × 9884652924699840872521_<22> × [1082802942..._<4089>] (1.23%)

10⁴¹⁴⁰+1 = 1000000000..._<4141> = 73 × 137 × 1657 × 2393 × 3169 × 16561 × 98641 × 1676321 × 99990001 × 265183201 × 1469409649_<10> × 1838540881_<10> × 1984699441_<10> × 5964848081_<10> × 86239064881_<11> × 22361420916001_<14> × 57623262784777_<14> × 3199044596370769_<16> × 41168686909062457_<17> × 38115215074391056784287931569_<29> × 100009999999899989999000000010001_<33> × 114153262735785998007938128909921_<33> × 27043868269833638345091057330221113_<35> × 95853807664312827399794371014650641_<35> × 2992954220671053473210428102132664473_<37> × 3934092998504003793986055051156601020217­3435808159761_<53> × 4178437150016715837818641871709193476807­7726285039694944003301299623485206849143­75257_<85> × 1077654773020602154835873595438016994801­5708115427100064296791127608890484017725­6002837849579935964678132636853002039998­6158679489264953_<136> × [1000099999..._<353>] × [1360717814..._<394>] × [8759276660..._<672>] × [3284279819..._<2099>] (15.08%)

10⁴¹⁴¹+1 = 1000000000..._<4142> = 11 × 607 × 809 × 1213 × 1327067281_<10> × 2670502781396266997_<19> × 3404193829806058997303_<22> × 1150049039411782458546879600357516307683­6624586334794818271756072956027758946488­969_<83> × [1099999999..._<4001>] (3.40%)

10⁴¹⁴²+1 = 1000000000..._<4143> = 101 × 20929 × 143881 × 430769 × 181767529 × 280305709 × 722817036322379041_<18> × 1369778187490592461_<19> × 49369369412784246809_<20> × 35701893527078181712481_<23> × 1865425332089086502965356287153468600956­1097057044089856872575427173603219393390­0171521062975638672064604619723224194512­8480195522683026871896337407221841261247­90381_<165> × [4601810018..._<3866>] (6.67%)

10⁴¹⁴³+1 = 1000000000..._<4144> = 7 × 11 × 13 × 8287 × 16573 × 211525009 × 1388783465757428735558016956769367_<34> × [9090909090..._<1380>] × [2723728900..._<2711>] (1.27%)

10⁴¹⁴⁴+1 = 1000000000..._<4145> = 353 × 449 × 641 × 673 × 1409 × 69857 × 12359777 × 43735845217_<11> × 38911569975982183464097_<23> × 2394873478125117716711137_<25> × 62272056670899908681939530802657_<32> × 217860610452031121598489279950204653537_<39> × 1559440092962140541006269160037944071573­04353_<45> × 3378366721..._<545> × [4126938877..._<3402>] (17.91%)

10⁴¹⁴⁵+1 = 1000000000..._<4146> = 11 × 8291 × 9091 × 74611 × 1492201 × 53056001 × 45468612576649_<14> × 18081197289920551624005736479518573_<35> × [1105779228..._<781>] × [2246036071..._<3290>] (1.82%)

10⁴¹⁴⁶+1 = 1000000000..._<4147> = 101 × 9901 × 237086475097614349_<18> × 724622026510260581_<18> × 897720822084629349764719120861_<30> × [6419763314..._<1315>] × [1009998990..._<2761>] (1.72%)

10⁴¹⁴⁷+1 = 1000000000..._<4148> = 11² × 23 × 59 × 859 × 1277 × 4093 × 8779 × 51767 × 357281 × 1058313049_<10> × 22144088539_<11> × 49561573447_<11> × 264752347289_<12> × 104730101107272149081_<21> × 245785527397419047611_<21> × 154083204930662557781201849_<27> × 2005755353824446963360232183_<28> × 4846886933628528756501854210987282549158­02251_<45> × 7762772059678810794194361339307819727859­40099183_<48> × 3460752460920951256221365127056152886287­9196390936320471942325254862879783_<74> × 6266570745..._<213> × [2269497958..._<292>] × [1844051509..._<3313>] (13.10%)

10⁴¹⁴⁸+1 = 1000000000..._<4149> = 73 × 137 × 8297 × 331841 × 2438537 × 152533657 × 10399345405377216553_<20> × 6555274617188258326423007086888436687780­3237222654400793_<56> × 8937684830337008583254725781111368001798­3140270444916137_<56> × 4411600567849560669355850439963957203397­4699185690820005696565227221756968616446­7898219919069368304598422319868082307673­772600748575192615252243347701807248793_<159> × [3632388514..._<3831>] (7.65%)

10⁴¹⁴⁹+1 = 1000000000..._<4150> = 7 × 11 × 13 × 19 × 2767 × 41491 × 52579 × 159545647 × 1252833466656156943_<19> × 66978388952647155007_<20> × 32554910832684288392360084059_<29> × 363512492441311226935404528811_<30> × 19106661240397987951762164436636893943_<38> × [9090909090..._<460>] × [1552571615..._<834>] × [2038657758..._<2698>] (3.82%)

10⁴¹⁵⁰+1 = 1000000000..._<4151> = 101 × 3541 × 27961 × 60101 × 7019801 × 349488101 × 1133190701_<10> × 550059014321_<12> × 11730767633401_<14> × 14103673319201_<14> × 1680588011350901_<16> × 28523597299050421_<17> × 186800120554932461_<18> × 532380360659184580001_<21> × 53842781766332811378175769094601_<32> × 267352619706048404954978381518286405201_<39> × 6950736020423014416512062676420117326840­1_<41> × 2302396795526516076776837687352113616978­6061_<44> × 4300297028838474156015268798064619519844­2861652725689411586949534183336343885152­2239838194937434654367240751665935313744­1_<121> × [1737319642..._<244>] × [5300204478..._<295>] × [1730922658..._<1560>] × [8736833084..._<1631>] (10.17%)

10⁴¹⁵¹+1 = 1000000000..._<4152> = 11 × 909091 × 1076769401_<10> × 2909076542620598524499532435958736860811­671130747534094532375046661903161_<73> × 3125015432..._<520> × [1021574246..._<3544>] (14.65%)

10⁴¹⁵²+1 = 1000000000..._<4153> = 17 × 5882353 × 58375531169_<11> × 9999999900000001_<16> × 332206671997424929_<18> × 162133383039262474611217_<24> × 127236957001698135791213089_<27> × [1713046493..._<1366>] × [1459170144..._<2686>] (2.45%)

10⁴¹⁵³+1 = 1000000000..._<4154> = 11 × 91367 × 897049 × [1109179369..._<4142>] (0.29%)

10⁴¹⁵⁴+1 = 1000000000..._<4155> = 101 × 269 × 4021 × 2049349 × 260587121 × 94927228208573594069_<20> × 162671769021508746091227108361_<30> × 2302527353565357450759725122262880394277­261_<43> × 4831285495545122373055545883590398223973­07149685578249_<54> × 1607103056527759457698658255252179917706­5559188277159741_<56> × [6208821641..._<3931>] (5.37%)

10⁴¹⁵⁵+1 = 1000000000..._<4156> = 7 × 11 × 13 × 211 × 241 × 1663 × 2161 × 9091 × 9419 × 9973 × 58171 × 3653077 × 2583222779_<10> × 58371847473481_<14> × 415560920852799932592825361_<27> × 6168802778638935988361029411_<28> × 3578600220582910306375473887125392159497­8935477786369226294849447722372747473988­7_<81> × 1046891449901657955720145334187491221522­5582139574447316416037464431191539530016­3633784105962001566674565213615433640875­2498455345033874182081312504976452679716­3897841239696982641_<179> × 1808870732..._<543> × [1890957693..._<1100>] × [6081443980..._<2140>] (22.04%)

10⁴¹⁵⁶+1 = 1000000000..._<4157> = 73 × 137 × 45907177 × [2178090824..._<4145>] (0.28%)

10⁴¹⁵⁷+1 = 1000000000..._<4158> = 11 × 24943 × 105205357 × 623358779 × 79793298444451_<14> × [6964922294..._<4121>] (0.87%)

10⁴¹⁵⁸+1 = 1000000000..._<4159> = 29 × 89 × 101 × 109 × 281 × 1009 × 4621 × 6469 × 9901 × 153469 × 226549 × 8798329 × 121499449 × 765144469 × 1052788969_<10> × 1056689261_<10> × 5419170769_<10> × 39511854229_<11> × 43266855241_<11> × 79082656489_<11> × 999999000001_<12> × 2422383867289_<13> × 51492439817281_<14> × 789390798020221_<15> × 2361000305507449_<16> × 3205591041505249_<16> × 4458192223320340849_<19> × 13710442808952877681_<20> × 1538607523068637497164701_<25> × 59779577156334533866654838281_<29> × 1514427595353706820425903708489_<31> × 3827743799473382921769954849841_<31> × 855877717157262831328185551318041_<33> × 7551886399737001807853659499431191110604­1_<41> × 1653588207338837707362330155273201758695­93121_<45> × 2290624689643723122789957563362013976604­4690040039603689929_<59> × 3444104493925557919913918425655605272048­57067026484035552706583597118812185729_<78> × 3925277248426748966984537733816767395325­307476622633188305245093834818012069881_<79> × 1305474628181386307774565086664919399648­2181277490330759409237452093581675793670­9_<81> × 8218476795659338409712353841905411607826­2306591511439985225455868667042390990755­12109_<85> × 1755885991823397127426735304525660412362­5708155378236163954582400346807794005623­131429977614689_<95> × 2556194893173839918095986049303563300534­6674997219855227412314112685523898853595­360610683149167147379131162769_<110> × [5129860832..._<256>] × [8017023010..._<694>] × [1136579457..._<2154>] (25.38%)

10⁴¹⁵⁹+1 = 1000000000..._<4160> = 11 × 1114613 × 248536924536127_<15> × 834229583127610709245237_<24> × [3933749532..._<4114>] (1.09%)

10⁴¹⁶⁰+1 = 1000000000..._<4161> = 4993 × 1301249 × 1265011073_<10> × 14105914369_<11> × 5630605803418753_<16> × 171039774820082689_<18> × 15343168188889137818369_<23> × 515217525265213267447869906815873_<33> × 33705988330014732169259712855760222337_<38> × 1542602350252248803060738770010587083142­8809697868716409941105675494726401_<74> × 6482552031873142167312943483783022572986­4001110549798436483689156054427373096586­9701275128505192385103313045785608085474­7491315649889616683056463331251159743313­91224959722001218233601_<183> × [3361378951..._<678>] × [1000000000..._<3073>] (9.87%)

10⁴¹⁶¹+1 = 1000000000..._<4162> = 7 × 11 × 13 × 293 × 877 × 1458973 × 3601237 × 247482272761_<12> × 909090909090909091_<18> × 10826684964539959837294043117_<29> × 753201806271328462547977919407_<30> × 5830219322612939561246246317093_<31> × 2865788889761949979999225923309086021030­11_<42> × 3943828696311504418317587369596960932033­847171_<46> × 6114490574525744118339152320279030460928­4611733_<47> × [1099999999..._<1297>] × [9100000000..._<2592>] (6.56%)

10⁴¹⁶²+1 = 1000000000..._<4163> = 101 × 16649 × 591801813781_<12> × 619217629010224606169_<21> × 22230037557695814257634335269_<29> × 120298938456756145881259741201_<30> × [6068325632..._<4066>] (2.31%)

10⁴¹⁶³+1 = 1000000000..._<4164> = 11 × 47 × 139 × 2531 × 13757 × 24979 × 549797184491917_<15> × 1467439874822650361_<19> × 5781376922797866530410940379929163649687­6923883191635824278127299864929561_<74> × 7789184249331553934805110885787624954095­4771637632968716627112002173902204209005­4703_<84> × [4403699107..._<3956>] (4.98%)

10⁴¹⁶⁴+1 = 1000000000..._<4165> = 73 × 137 × 2777 × 185993 × 99990001 × 252138529 × [1935905231..._<1376>] × [3966470352..._<2760>] (0.70%)

10⁴¹⁶⁵+1 = 1000000000..._<4166> = 11 × 103 × 197 × 491 × 4013 × 9091 × 14281 × 18131 × 42841 × 87211 × 609757 × 674731 × 909091 × 2199121 × 4147571 × 787223761 × 1868879293_<10> × 21993833369_<11> × 265212793249617641_<18> × 468077550747723841_<18> × 548804832033845773_<18> × 2850224398381919676251_<22> × 5673320472670315859129_<22> × 40410112822629936463361201_<26> × 653518704357372488880162997801_<30> × 319824888758480762691339433102367_<33> × 5076141624365532994918781726395939035533_<40> × 1567067521737276554575216736570561724735­3811_<44> × 1602207948210144520667419183035809176643­86555934641_<51> × 1965071455547075976451793652436868115828­909241266827512665803201_<64> × 1037466478304215512424864306226369010022­36971549990724717454338463_<66> × 1718853138090239733162972996170019720286­9808205600796969972413767579753540276343­4997577528908814962221209301350715566313­549141490281_<132> × 1769728718..._<238> × [9343574757..._<616>] × [3408426747..._<2643>] (21.76%)

10⁴¹⁶⁶+1 = 1000000000..._<4167> = 101 × 33329 × 1333121 × 377603385150057784266709_<24> × [5901343496..._<4130>] (0.87%)

10⁴¹⁶⁷+1 = 1000000000..._<4168> = 7 × 11 × 13 × 19 × 5557 × 52579 × 6908887 × 50839253 × 537667443289_<12> × 893210409451_<12> × 1860679164649_<13> × 968838896570999197717_<21> × 33443462676716374314214817708653_<32> × [1729403218..._<439>] × [1641719481..._<897>] × [6232400076..._<2717>] (2.78%)

10⁴¹⁶⁸+1 = 1000000000..._<4169> = 17 × 5882353 × 22987578673_<11> × [4350175389..._<4150>] (0.44%)

10⁴¹⁶⁹+1 = 1000000000..._<4170> = 11² × 23 × 4093 × 8779 × 10613 × 30817249 × 4918445244727502358176820280164673127_<37> × 3358452086027876701197020751703223710830­9731086439023_<53> × [1682706163..._<278>] × [1099999999..._<3781>] (2.68%)

10⁴¹⁷⁰+1 = 1000000000..._<4171> = 61 × 101 × 1669 × 3541 × 9901 × 27961 × 1701361 × 2374121 × 2420269 × 4188901 × 11158921 × 17046961 × 39526741 × 94869169 × 143089381 × 316045969 × 875855681 × 536254985893201_<15> × 154220035640400941_<18> × 413560439097312181_<18> × 1520814102168434294101_<22> × 1045337861333351589020041_<25> × 681395720294658810682438883431201_<33> × 2256620385195547580971963636990419029428­6729_<44> × 5389783657965083045690889312930975376749­17585678041_<51> × 1757855013584091345691131668356707515113­2274090424405862513992032108985729_<74> × 1799155074645263677888568684590719168648­3610285262887318124980694534367263929242­005840749_<89> × [2042596332..._<497>] × [2218195809..._<532>] × [4083332536..._<543>] × 9272275924..._<1020> × [3507097708..._<1097>] (36.05%)

10⁴¹⁷¹+1 = 1000000000..._<4172> = 11 × 57009401 × 2182600451_<10> × 102527361354613106010527_<24> × 7306116556571817748755241_<25> × 323338434891034089173475790125293_<33> × 2742269936605462168329562307947106658888­1_<41> × [1099999999..._<4033>] (3.33%)

10⁴¹⁷²+1 = 1000000000..._<4173> = 73 × 137 × 1193 × 7841 × 15497 × 25033 × 9094961 × 882811889 × 169871816297_<12> × 36990372762655063361_<20> × 127522001020150503761_<21> × 523688999052462666529_<21> × 19562499561211294001273_<23> × 32057918443938776296617977_<26> × [2160506596..._<581>] × [6035750220..._<3437>] (3.71%)

10⁴¹⁷³+1 = 1000000000..._<4174> = 7 × 11 × 13² × 157 × 859 × 1499 × 6397 × 16693 × 28463 × 74687 × 216451 × 392263 × 795653 × 7569823 × 1058313049_<10> × 273185294773_<12> × 388847808493_<12> × 2366998879807_<13> × 529556856977051917339_<21> × 9289873078995653270647_<22> × 819286135684982014643023_<24> × 122821779795297711210947489_<27> × 899788378170104270110161037_<27> × 155490403648623445664788291934117_<33> × 9140689231828972552925524522037823147045­9375713794943226862262823522886708019884­51_<82> × 6816076420889383530061928052932135771677­8230565334058537113874257582950028898896­5195229201450565849237338320632962384270­5963383073925056196658386867709651975318­465023_<166> × [3133747599..._<1132>] × [9100000000..._<2544>] (11.92%)

10⁴¹⁷⁴+1 = 1000000000..._<4175> = 101 × 175309 × 727268424983145015205506289_<27> × [7765683405..._<4140>] (0.82%)

10⁴¹⁷⁵+1 = 1000000000..._<4176> = 11 × 251 × 5011 × 5051 × 9091 × 63716179 × 2560937409851_<13> × 78875943472201_<14> × 116011189311149998139_<21> × 272828068791212993437_<21> × 461278897961764513411218521401_<30> × 3015252949189504320875202981299415587115­51656822567015411_<57> × 1495012804425531262945788741160430069296­6728690551568705030373_<62> × [4758831767..._<631>] × [3904859197..._<3308>] (5.67%)

10⁴¹⁷⁶+1 = 1000000000..._<4177> = 97 × 353 × 449 × 641 × 1409 × 8353 × 9281 × 13249 × 69857 × 90017 × 206209 × 1067329 × 490324577 × 66554101249_<11> × 75118313082913_<14> × 692134775442241_<15> × 20752917057986878529_<20> × 363050401891291226709889_<24> × 7071614705525771137412357579842860859021­9877617672752248112085912824160137075376­116481_<86> × 3240044370..._<388> × [1444805311..._<882>] × [1197174667..._<2685>] (14.63%)

10⁴¹⁷⁷+1 = 1000000000..._<4178> = 11 × 41771 × 2503204517897672317_<19> × [8694329765..._<4153>] (0.58%)

10⁴¹⁷⁸+1 = 1000000000..._<4179> = 101 × 1842124557617101_<16> × 3179112678155523753829488922284649_<34> × [1690650016..._<4128>] (1.22%)

10⁴¹⁷⁹+1 = 1000000000..._<4180> = 7² × 11 × 13 × 127 × 2689 × 3583 × 5573 × 459691 × 909091 × 614739259 × 51423818851_<11> × 1302554658007_<13> × 3545105703277_<13> × 10765760180213_<14> × 12277415800813_<14> × 28880190796545089_<17> × 83603900194473037_<17> × 180724074168604579796294647309331_<33> × 2313690662340499476839285921303291_<34> × 3142931404276264910560088757241510584870­07_<42> × 3415667199916755828031645754802139743988­8515117317065783422183070342102287109965­498971_<86> × [4578798353..._<370>] × [4805153851..._<1126>] × [1088466075..._<2360>] (7.77%)

10⁴¹⁸⁰+1 = 1000000000..._<4181> = 73 × 137 × 457 × 617 × 881 × 6689 × 135433 × 1403417 × 1676321 × 5964848081_<10> × 5240808656722481737_<19> × 18106083645138827479299841_<26> × 1998040637750997434972713736401_<31> × 12231385993824607429587973444912801_<35> × 16205834846012967584927082656402106953_<38> × 2974783307863656284148053052903024835550­43017_<45> × 1135187287173666288297388195232690124858­2292849023836549375698070374687854710556­2996594778661748013609534619750272417707­26447219069239499432349602724177071521_<158> × 8176505920..._<254> × [1103971171..._<712>] × [2763934413..._<2825>] (15.42%)

10⁴¹⁸¹+1 = 1000000000..._<4182> = 11 × 4973 × 7253 × 4426889 × 339145368851_<12> × 422650073734453_<15> × 296557347313446299_<18> × 4129431088139783859996416179822426674855­1911970994071194269355370951724011428162­9255685010553886849303_<102> × [3243446914..._<4021>] (3.84%)

10⁴¹⁸²+1 = 1000000000..._<4183> = 101 × 409 × 2789 × 3061 × 9901 × 68389 × 225829 × 351289 × 5969449 × 28559389 × 134703241 × 1491383821_<10> × 225974065503889_<15> × 2324557465671829_<16> × 120103628191556681985949_<24> × 50263868906211981631565189_<26> × 216667590115007379484962361_<27> × 44398000479007997569751764249_<29> × 8399157903472060939265697411239739500688­0745482841386049_<56> × 1447745997018511893740076606031686237538­345362413531560645573104006506749609_<76> × 5549977730960882375135249589624499286760­83464040648051002127127164539795044109_<78> × [2050937352..._<1246>] × [3650423250..._<2532>] (9.69%)

10⁴¹⁸³+1 = 1000000000..._<4184> = 11 × 179 × 6299 × 4855067598095567_<16> × 12147237304901893_<17> × 297262705009139006771611927_<27> × 4180967272673252032291190917188955510245­874180001164839931077197586653_<70> × [1099999999..._<4049>] (3.23%)

10⁴¹⁸⁴+1 = 1000000000..._<4185> = 17 × 3849281 × 5882353 × 142231289297_<12> × [1826523367..._<4159>] (0.62%)

10⁴¹⁸⁵+1 = 1000000000..._<4186> = 7 × 11 × 13 × 19 × 211 × 241 × 373 × 1117 × 2161 × 5023 × 6481 × 9091 × 11161 × 29611 × 41851 × 44641 × 52579 × 3762091 × 70541929 × 3590254957_<10> × 14175966169_<11> × 261315626851_<12> × 577603663291_<12> × 3925963357681_<13> × 8985695684401_<13> × 31023833790241_<14> × 524816314748371_<15> × 5167617497664851_<16> × 22672589441232691_<17> × 909090909090909090909090909091_<30> × 6548241632713397411808073416931_<31> × 183372282864547916749018225828651_<33> × 108131551600520034721722272883130729_<36> × 5531146644782629936629928146013705871142­91_<42> × 8610583349234340055547908764091017276717­091_<43> × 1838190726228124463315819067778696666309­1011_<44> × 3093888678771257769541252942946202755752­229401_<46> × 1158334526259936604206939942487445760921­582415411_<49> × 3092189186638711651761630213691413266133­197806226014052371_<58> × 4857900688365130469291831549890842547443­9173769354062250546461438565798929702369­11030721_<88> × 4887054837129490444185770642291712106451­4457084666434832708876218571635120769270­9355690283279269679651852988021899348479­8134507347686651311824503_<145> × [7045616588..._<490>] × [1903525046..._<706>] × [2389429162..._<2156>] (19.94%)

10⁴¹⁸⁶+1 = 1000000000..._<4187> = 29 × 101 × 281 × 521 × 1289 × 121499449 × 24024683489_<11> × 305045929501_<12> × 654721485601_<12> × 18371524594609_<14> × 216613430183025989_<18> × 3852034888625542529_<19> × 11321155065857650469_<20> × 1900381976777332243781_<22> × 671082513552668016215173889_<27> × 4181003300071669867932658901_<28> × 1009805096139614383066323378818605356821­967673241_<49> × 3571618567996393297210217238290456648947­344377957590363519828421_<64> × 4319164138206177545460534768046354494614­10533962843828981966782964481_<69> × 4617409966317766554788668533405686826442­1940909108239479144366358071337476676592­5939715141806626504158292928487889387900­5928553193826692398321349887540466176358­283350940672581933619840253537612607049_<199> × [4709139884..._<442>] × [9900990099..._<3168>] (13.77%)

10⁴¹⁸⁷+1 = 1000000000..._<4188> = 11 × 1423 × 113124367 × 9615060929_<10> × 764180239453_<12> × 9090909090909090909090909090909090909090­909090909091_<52> × 6644317454149057909799751015802107695839­2938976011506949065646573_<65> × [1272449981..._<4037>] (3.60%)

10⁴¹⁸⁸+1 = 1000000000..._<4189> = 73 × 137 × 8377 × 30713 × 8188937 × 99990001 × 397090815169_<12> × [3975637725..._<1381>] × [3006526734..._<2769>] (0.93%)

10⁴¹⁸⁹+1 = 1000000000..._<4190> = 11 × 1889 × 290249 × 1090805842068098677837_<22> × 4411922770996074109644535362851087_<34> × 3132106946418106835541520932340538954170­6979493156189716729115659_<65> × [1099999999..._<4061>] (3.08%)

10⁴¹⁹⁰+1 = 1000000000..._<4191> = 101 × 3541 × 27961 × 33521 × 5663423303088842981_<19> × 3694282184532746187389_<22> × 1683735308680418754311470527721_<31> × 49453918341530959777007194979644921_<35> × [1591749570..._<785>] × [3007996844..._<1615>] × [3576409999..._<1672>] (2.86%)

10⁴¹⁹¹+1 = 1000000000..._<4192> = 7 × 11² × 13 × 23 × 2287 × 3557 × 4093 × 8779 × 599144041 × 857772733 × 1094479651_<10> × 1125629957_<10> × 183411838171_<12> × 451897625287_<12> × 2297833265641_<13> × 616896149073719728613_<21> × 10860110813777339731289_<23> × 1053449334720579590200819_<25> × 3609953127360313821869930156556758170515­1216702113889_<53> × 4444349792156709907895752551798631908946­180608768737946280238078881_<67> × 2271069882651596165285719811405724153961­2255175575628229600861335392281601540481­9504625289055134338407924996143023758066­472872886277706507970899321_<147> × [4787118440..._<1248>] × [9100000000..._<2520>] (10.10%)

10⁴¹⁹²+1 = 1000000000..._<4193> = 19841 × 976193 × 6187457 × 948146308481_<12> × 834427406578561_<15> × [1054689546..._<4149>] (1.05%)

10⁴¹⁹³+1 = 1000000000..._<4194> = 11 × 265957 × 909091 × 4712933 × 566182860314268445323284219_<27> × 6037250154..._<566> × [2334002817..._<3582>] (14.59%)

10⁴¹⁹⁴+1 = 1000000000..._<4195> = 101 × 8389 × 9901 × 999999000001_<12> × 265197188311481_<15> × 582931831426081_<15> × 539876558782299169_<18> × 362246305833052004989_<21> × 19977209515877168679260823111001_<32> × 3130678051296477444638315183168828069687­7739051661_<50> × [1192535462..._<401>] × [8672979984..._<882>] × [6095253936..._<2742>] (4.06%)

10⁴¹⁹⁵+1 = 1000000000..._<4196> = 11 × 9091 × 7374811 × 107314813 × 4524696582986291_<16> × 6019610075586611191360847_<25> × 7131794437527456792116415477675332097533­03_<42> × [1973242516..._<764>] × [3296461332..._<3330>] (2.44%)

10⁴¹⁹⁶+1 = 1000000000..._<4197> = 73 × 137 × 109097 × 335681 × 3599156466433812795397984296574698260321_<40> × [7586060063..._<4142>] (1.29%)

10⁴¹⁹⁷+1 = 1000000000..._<4198> = 7 × 11 × 13 × 512664073335446569_<18> × 3781793251116026068275853_<25> × [9090909090..._<1398>] × [5667975200..._<2754>] (1.08%)

10⁴¹⁹⁸+1 = 1000000000..._<4199> = 101 × 25189 × 17078261621_<11> × [2301569202..._<4182>] (0.40%)

10⁴¹⁹⁹+1 = 1000000000..._<4200> = 11 × 103 × 647 × 859 × 4013 × 108529 × 738379 × 38816051 × 82266809 × 1058313049_<10> × 21993833369_<11> × 1644353478367_<13> × 344954191876997_<15> × 6917979239326637_<16> × 137920431040354691_<18> × 909090909090909091_<18> × 1078893279821424911891_<22> × 70919383630417672662131_<23> × 2016492306990976282439501774196098215666­169_<43> × 2987053727365543517891562941440901383909­16509553983003911433879637774413_<72> × 3223223954501479327423165941405274903133­0269145707941726306320382914993613593752­90791990253041841_<97> × 4387259075771561776852018194191142555333­0513423366940280796464989101671998970339­2491612289098617653_<99> × 7851694660671039223020743416020582394261­6261812033852023976676722234797361422590­0721518268190627331693_<102> × 4003562041819915994877635076325214047747­2791476548845372200559635028684381015278­9528224284608004363459364126945546729824­8282983860841630216482187769760112443455­4975414863_<170> × [6591415805..._<3439>] (18.10%)

10⁴²⁰⁰+1 = 1000000000..._<4201> = 17 × 113 × 337 × 3361 × 20161 × 280001 × 1378721 × 3085601 × 5070721 × 5882353 × 1132716961_<10> × 24592788001_<11> × 5758943337281_<13> × 32233075296001_<14> × 75500478859681_<14> × 9999999900000001_<16> × 2682954359513131201_<19> × 73765755896403138401_<20> × 134993874645518800648801_<24> × 6717658458758041138199521_<25> × 19721061166646717498359681_<26> × 119968369144846370226083377_<27> × 281259985248437790051014401_<27> × 826427348932069065539097601_<27> × 31388506438433752927908678241_<29> × 2070270028985341766616009080161_<31> × 681246048580017390433849414006037281_<36> × 1081862991605594332069477594870669601_<37> × 2039390657078199713488473342778297680720­01_<42> × 3475700719926956233659563848134955052440­801_<43> × 7048825036889724792070988576679306254761­6862669921_<50> × 2458520835510512175414654124612029223953­95232640413677301754561_<63> × 1433319827159466789806966856379479179916­136529424792832495021393_<64> × 1169903014767471390631838991078299955030­5441464043756973969673953263708106862724­1615756780789663364521811201_<108> × [1521240334..._<266>] × 3471850615..._<300> × [1157445767..._<949>] × [2761039707..._<1879>] (26.39%)