10⁴³⁰¹+1 = 1000000000..._<4302> = 11² × 23² × 47 × 103 × 139 × 2531 × 4013 × 4093 × 8779 × 192611 × 2955961 × 6866927 × 2140571729_<10> × 21993833369_<11> × 37633218241_<11> × 202494039089_<12> × 1095558685453_<13> × 1284680342573_<13> × 9101279023169_<13> × 549797184491917_<15> × 6315203673292075607_<19> × 125797399492676917721_<21> × 134411715692212607377411_<24> × 473608692432035450677211738101499095303_<39> × 5595739587235982076965843552888948227782­6574998014018514928782197341726428854387­236670658714503098749571_<104> × 5181616821054419379398089043147253841557­1334188381106616809835077169803782358320­2138442087113080605799348512678760456904­9916282420132402437223582964524090767945­91284845951908904139995059681_<189> × 1071693871..._<275> × [4097881781..._<3497>] (18.70%)

10⁴³⁰²+1 = 1000000000..._<4303> = 101 × 9901 × 208409 × 999999000001_<12> × 971376562548289_<15> × 5903990588893921_<16> × 2491653754605959598248971533744219901_<37> × 1079722787116034111142950317925753346451­2022361_<47> × [1765884106..._<389>] × [1761114782..._<922>] × [1000000999..._<2857>] (3.17%)

10⁴³⁰³+1 = 1000000000..._<4304> = 11 × 859 × 38329801 × 1058313049_<10> × 5943603127859_<13> × 510587492552436211823_<21> × 1932782378208168486700373_<25> × 66287629848519079879793946893_<29> × 573408944084407647616987278212508727_<36> × 3759742737263384816949875307105730920849­3613_<44> × 1444717414116629325014741879647282362357­9093679563523785950006681883488451246458­0762320835103231631781161765560421303660­0335625808152140581460631346308342601069­504206134844531691_<178> × [2154381014..._<3940>] (8.45%)

10⁴³⁰⁴+1 = 1000000000..._<4305> = 353 × 449 × 641 × 1409 × 69857 × [9999999999..._<4288>] (0.37%)

10⁴³⁰⁵+1 = 1000000000..._<4306> = 7² × 11 × 13 × 127 × 211 × 241 × 739 × 2161 × 2689 × 3691 × 9091 × 148339 × 459691 × 909091 × 4147571 × 16344241 × 16419517 × 22873327 × 1309140169_<10> × 29970369241_<11> × 5317679142481_<13> × 19214818177409_<14> × 1661378260814161_<16> × 3479575598798881_<16> × 265212793249617641_<18> × 2670502781396266997_<19> × 3404193829806058997303_<22> × 18276168846821336356291_<23> × 2227500794590370844147583_<25> × 436026711667335044426416921_<27> × 6331512614238234077508187988343438690524­7847_<44> × 1102678522581138741425727962459101300689­046291_<46> × 1109649393276867840472199951726880949173­205522051_<49> × 5004844858427955006137433437029141894459­256983171_<49> × 1843455308146833369419577117401177102515­401880306453871619994561_<64> × 6105179603552296927117127487655417850454­4683763248923853725596423_<65> × 2522755993328297304992975667536987368752­4422119109873612963516263168625757367193­4071328913935425167793515435649973267232­99457284056291_<134> × 1257614379020165056772347240819559956723­1572995613590701680970702041170548930281­0599648062430084467242774758397202086029­812476912145657137081_<141> × 5724747847..._<227> × [2154768431..._<396>] × [2612675210..._<945>] × [2195652475..._<1872>] (25.41%)

10⁴³⁰⁶+1 = 1000000000..._<4307> = 101 × 226700608661_<12> × [4367429870..._<4293>] (0.31%)

10⁴³⁰⁷+1 = 1000000000..._<4308> = 11 × 293 × 1889 × 637375703 × 3037106893_<10> × 1090805842068098677837_<22> × 10826684964539959837294043117_<29> × 4411922770996074109644535362851087_<34> × 2865788889761949979999225923309086021030­11_<42> × [5682469373..._<4158>] (3.47%)

10⁴³⁰⁸+1 = 1000000000..._<4309> = 73 × 137 × 11489 × 172321 × 183809 × 11892953 × 99990001 × 3178907405521_<13> × [3981235504..._<1416>] × [1825691287..._<2847>] (1.07%)

10⁴³⁰⁹+1 = 1000000000..._<4310> = 11 × 557 × 2503 × 909090909090909090909090909091_<30> × 6520655709313341698465187621108953571040­3595333062378353092332941289776570384185­9492780362601926814638167836591846272150­911969126521_<132> × [1099999999..._<4141>] (3.92%)

10⁴³¹⁰+1 = 1000000000..._<4311> = 101 × 3541 × 27961 × 12102481 × 78924721 × 4722658277801_<13> × 50709700557334097021_<20> × 50921940372153308337883310816081_<32> × [1952484433..._<841>] × [5545862901..._<1689>] × [7928176566..._<1692>] (2.07%)

10⁴³¹¹+1 = 1000000000..._<4312> = 7 × 11 × 13 × 19 × 8623 × 40237 × 52579 × 2952557 × 10303291 × 11898361 × 35054179 × 531896929 × 1180564477_<10> × 5859735373_<10> × 50217054247_<11> × 1899591271579_<13> × 5688359348583444455165351401_<28> × 14567368563720005113024127497117_<32> × [7573485234..._<446>] × [2655394775..._<940>] × [3883427612..._<2771>] (3.60%)

10⁴³¹²+1 = 1000000000..._<4313> = 17 × 113 × 3697 × 54881 × 5882353 × 10100113 × 30357713 × 51255635489677438513_<20> × 73765755896403138401_<20> × 403539336813078648113_<21> × 2348605968070081355329_<22> × 119968369144846370226083377_<27> × 69107936491313674237030826849_<29> × 5649333362757164788488040397332687608183­771313_<46> × 9900879227786858424257223656804730798555­422102713108259184822982673560177_<73> × [7992725630..._<265>] × [1289298797..._<441>] × [8307076643..._<3319>] (6.68%)

10⁴³¹³+1 = 1000000000..._<4314> = 11 × 36346333 × 3861904074787001_<16> × 909090909090909091_<18> × 6476572499..._<203> × [1099999999..._<4069>] (5.68%)

10⁴³¹⁴+1 = 1000000000..._<4315> = 101 × 8629 × 9901 × 170296589 × [6737708348..._<1424>] × [1009998990..._<2873>] (0.42%)

10⁴³¹⁵+1 = 1000000000..._<4316> = 11 × 9091 × 198491 × 207121 × 450487 × 33993571 × 1584705713225403483147160166143_<31> × [1273433962..._<827>] × [7870939948..._<3430>] (1.37%)

10⁴³¹⁶+1 = 1000000000..._<4317> = 73 × 137 × 1993 × 1580801 × 160322137 × 1627839311921131673455277189737_<31> × 6325274402021507450906224122454439230492­01_<42> × [3082036244..._<295>] × [6238065551..._<3928>] (2.17%)

10⁴³¹⁷+1 = 1000000000..._<4318> = 7 × 11 × 13 × 120877 × 690721 × 22141854291195452217499201_<26> × 75673683062427966236317236967_<29> × 6652742443560007068799568102809_<31> × [1805767085..._<1379>] × [5944266695..._<2840>] (2.29%)

10⁴³¹⁸+1 = 1000000000..._<4319> = 101 × 509 × 3049 × 7621 × 28559389 × 1491383821_<10> × 1532095489_<10> × 47363086944961_<14> × 621385610460229_<15> × 2324557465671829_<16> × 376217070797284235689_<21> × 2844397351..._<214> × [1752253927..._<4003>] (7.31%)

10⁴³¹⁹+1 = 1000000000..._<4320> = 11 × 23447 × 515813 × 909091 × 57969619 × 1503320851747641663675331_<25> × 45135180224672561394876945851667198023_<38> × [1665377017..._<569>] × [1262235860..._<3665>] (2.01%)

10⁴³²⁰+1 = 1000000000..._<4321> = 193 × 577 × 769 × 19841 × 976193 × 6187457 × 59546881 × 1164746881_<10> × 317752351489_<12> × 988764203521_<12> × 834427406578561_<15> × 902671810006533121_<18> × 1253224535459902849_<19> × 6123088911854233729_<19> × 325134829391007224091957121_<27> × 5376349118996722135857554610727903470969­7_<41> × 2695404316893288775710390115296882289766­41_<42> × 2584731484587868899808294916932753463307­2641_<44> × 5431852955926725494993023946436402759183­74120256093130759988042950370991361_<75> × 2642485680977517391378418105893565400120­9065687491145404865435327012853922339304­27735879112610561_<97> × 9999999999999999999999999999999900000000­0000000000000000000000009999999999999999­9999999999999999000000000000000000000000­00000001_<128> × 5454254688947363287683007582959957955687­7428501805560638197790719877643207587229­1901238475752871142202298332796782100563­3305513155176634315060424546674322713747­588377841693274817_<178> × [1633162631..._<558>] × [4968477362..._<695>] × [1000000000..._<2305>] (17.69%)

10⁴³²¹+1 = 1000000000..._<4322> = 11 × 59 × 2087 × 51853 × 1906105447_<10> × 9569438330387745929023_<22> × 9615683031450065714899_<22> × 154083204930662557781201849_<27> × 73573502807427343834002456451_<29> × 101599598603089933081005893438131_<33> × 1654596091767978658661343653297922706352­07840943_<48> × 2737869430252705432917439814481839640694­075521336313521691938014929169431049_<76> × [1555865323..._<4048>] (6.34%)

10⁴³²²+1 = 1000000000..._<4323> = 101 × 405639937342891653901_<21> × [2440832173..._<4300>] (0.52%)

10⁴³²³+1 = 1000000000..._<4324> = 7 × 11² × 13 × 23 × 263 × 4093 × 8647 × 8779 × 14411 × 3585209 × 78447517 × 599144041 × 1397382241_<10> × 12075418609_<11> × 183411838171_<12> × 306662501757259_<15> × 80721317359181731_<17> × 525786373041914526306757_<24> × 125280707777993740466868133_<27> × 112506283680098168752627601991569_<33> × 1363608083180796048411168783196497071688­492468691_<49> × 2247064574420005776288509534269789472160­5325430609487291715500041029950763944163­993319007373686738769124162721892380653_<119> × 6233957723107455202541780062721990239960­9765276523884060897664718644575416179222­1257665658786839783405659554678742261816­36354165574411_<134> × [1407335671..._<1254>] × [1303730099..._<2580>] (11.35%)

10⁴³²⁴+1 = 1000000000..._<4325> = 73 × 137 × 2393 × 70313 × 79337 × 250793 × 485041 × 118710721 × 6578404633_<10> × 75249643241249774429441_<23> × 169905327561162104198557246291921_<33> × 4178437150016715837818641871709193476807­7726285039694944003301299623485206849143­75257_<85> × 2785153893179118281358593228549059682062­3900747164894668499167046712090201879423­948069199442816537475115348268729799177_<119> × [5299361807..._<4020>] (7.04%)

10⁴³²⁵+1 = 1000000000..._<4326> = 11 × 251 × 5051 × 9091 × 9689 × 16864733 × 16002307438891_<14> × 78875943472201_<14> × 771499676068505184897451_<24> × 927317454109739561766501011_<27> × 5563510205554383683546545704914850146980­3488052399095459738250346232835862545261­8143028489824347845773903751383591396913­8814438028961942675024261456156912807554­3_<161> × [7412714918..._<648>] × [1296189785..._<3417>] (6.04%)

10⁴³²⁶+1 = 1000000000..._<4327> = 29 × 101 × 281 × 9901 × 43261 × 226549 × 467209 × 764261 × 801341 × 121499449 × 346973629 × 5439760205641_<13> × 29286597879221_<14> × 17001340047779821_<17> × 4458192223320340849_<19> × 33670587927455442579575167786879669_<35> × 9500057548693798868143517047713605498482­1_<41> × 1318910733231022335502996334021907185470­0685799054091470161603102678459019911637­791726472505162050327675229109_<110> × [3147469726..._<371>] × [3054802387..._<1214>] × [2119180067..._<2443>] (6.93%)

10⁴³²⁷+1 = 1000000000..._<4328> = 11 × 411222259397597_<15> × [2210704523..._<4312>] (0.36%)

10⁴³²⁸+1 = 1000000000..._<4329> = 17 × 4760801 × 5882353 × 44559019217_<11> × 865588623131698184950812116593_<30> × [5445939400..._<4273>] (1.28%)

10⁴³²⁹+1 = 1000000000..._<4330> = 7 × 11 × 13² × 19 × 157 × 223 × 859 × 2887 × 4663 × 6397 × 7253 × 52579 × 158731 × 216451 × 461917 × 865801 × 60034573 × 1058313049_<10> × 1961853739_<10> × 78426117823_<11> × 388847808493_<12> × 902659997773_<12> × 126294442654927_<15> × 422650073734453_<15> × 1690016281413487_<16> × 296557347313446299_<18> × 5406655992229067083561_<22> × 7116181512528105949933_<22> × 62562101977662753776437_<23> × 21606064498691505246200058094681_<32> × 37344700192938647404842813656089_<32> × 48911689110891303706174193415115219_<35> × 3609680015682889556828657822481825871981­7914995401933354161_<59> × 2490872691908137575166466088291355643827­7010798919785782748359940807754645959745­5355891186202040764932480402743608729267­5616017146240063168618749945139990951997_<160> × [8299292652..._<406>] × [3969394594..._<779>] × [1153845976..._<2587>] (12.90%)

10⁴³³⁰+1 = 1000000000..._<4331> = 101 × 3541 × 17321 × 25981 × 27961 × 58889 × 4070201 × 5291261 × 43871561 × 1927014541_<10> × 14618209901_<11> × 235887852121_<12> × 8246900052197820521_<19> × [2599278814..._<825>] × [1330156601..._<1705>] × [2107888981..._<1708>] (2.17%)

10⁴³³¹+1 = 1000000000..._<4332> = 11 × 8663 × 81131 × 290249 × 289873296505973447_<18> × 141669866571745562549077_<24> × 1120522253011683685532152825789043757514­5023592596037161_<56> × 3132106946418106835541520932340538954170­6979493156189716729115659_<65> × [3091994241..._<4156>] (4.05%)

10⁴³³²+1 = 1000000000..._<4333> = 73 × 137 × 457 × 27817 × 1403417 × 72881569 × 99990001 × 376102873 × 36120612721_<11> × 5240808656722481737_<19> × 13591271120229398317886003161009_<32> × 2974783307863656284148053052903024835550­43017_<45> × 1947203319137605460749061613759302679230­7169586329967874918737775454375796284178­5054377649_<90> × [9999999999..._<1368>] × [1372089011..._<2729>] (5.44%)

10⁴³³³+1 = 1000000000..._<4334> = 11 × 13619 × 17333 × 909091 × 24152143 × 573248334583_<12> × 634201866251_<12> × 592119999726203887006567_<24> × [1777562374..._<579>] × [4583744814..._<3685>] (1.62%)

10⁴³³⁴+1 = 1000000000..._<4335> = 89 × 101 × 8669 × 27581 × 1386881 × 1052788969_<10> × 1056689261_<10> × 1179453305210211114939901_<25> × 3918368390354729920247112594044990889742­3309_<44> × 9585717257424410909213992857985450616529­7073472804809_<53> × 9557377469..._<291> × [7122499388..._<3886>] (10.34%)

10⁴³³⁵+1 = 1000000000..._<4336> = 7 × 11 × 13 × 103 × 211 × 241 × 2161 × 4013 × 9091 × 87211 × 102001 × 17088571 × 511438099 × 787223761 × 21993833369_<11> × 291078844423_<12> × 5516286288241_<13> × 27608334534637_<14> × 587063793048979091_<18> × 1972638068686670089_<19> × 377526955309799110357_<21> × 48447958585300048257961_<23> × 3434599112338341945743041_<25> × 4270914986978327797975291_<25> × 6794665217550790190548807_<25> × 42323992639419349049079264521_<29> × 22309443196006787833758691239331_<32> × 216219010761333454086082249502131_<33> × 1363267285346876343226104657933729291571_<40> × 1602207948210144520667419183035809176643­86555934641_<51> × 1751377255623375797906517491961205878072­33668420015131_<54> × 1136558791710654899629429576107642694020­211020408036719308522808314581197380973_<79> × 6923777301528230940787780295400313221683­7931499487471683017546895556923961389690­1051476486900230773676279104245977387969­9664648964996271733_<139> × [5771480751..._<424>] × 2623043673..._<1050> × [2064070456..._<2154>] (40.55%)

10⁴³³⁶+1 = 1000000000..._<4337> = 353 × 449 × 641 × 1409 × 26017 × 69857 × 9820116546045473_<16> × [3914047942..._<4300>] (0.84%)

10⁴³³⁷+1 = 1000000000..._<4338> = 11 × 444561143349139_<15> × [2044917606..._<4322>] (0.36%)

10⁴³³⁸+1 = 1000000000..._<4339> = 101 × 9901 × 83869 × 253686241 × 265555009 × 61896232441_<11> × 999999000001_<12> × 70578857936809_<14> × [7182215783..._<456>] × [3981291953..._<952>] × [1416856306..._<2867>] (1.48%)

10⁴³³⁹+1 = 1000000000..._<4340> = 11 × 144316078534379_<15> × 6355522135287976197010517_<25> × [9911545062..._<4299>] (0.92%)

10⁴³⁴⁰+1 = 1000000000..._<4341> = 73 × 137 × 1489 × 7841 × 12401 × 31249 × 851761 × 1676321 × 50755681 × 240349201 × 5964848081_<10> × 8566123361_<10> × 640543322297_<12> × 830859185201_<12> × 27908132670449_<14> × 127522001020150503761_<21> × 384705444182230291105649_<24> × 9764595466801884646728718086635575837426­3120864803042536883990817097_<68> × 1174155661036370531158387153086358732085­7611583542802499879661077461752756934163­45665039841_<91> × [2232494053..._<447>] × [3200422413..._<716>] × [4160196937..._<2872>] (7.06%)

10⁴³⁴¹+1 = 1000000000..._<4342> = 7 × 11 × 13 × 7813801 × 1311843581195246419_<19> × 27578007521378077783_<20> × 67433239007516266361_<20> × 13151548172068925304859_<23> × [1000027661..._<1380>] × [3984700845..._<2873>] (2.06%)

10⁴³⁴²+1 = 1000000000..._<4343> = 101 × 521 × 476103356904941_<15> × 1900381976777332243781_<22> × 8155367430991261899414881_<25> × 411603787218349354280868589_<27> × 1387401303965667453093373669_<28> × 1986074991324907482421521754547687557692­89_<42> × 4734221348660905307053477726032095095278­42120964263087241_<57> × 2567913519388976041277665242499108035700­04341949762240760779741_<63> × 1508243026883989551812013800769565119314­9092773167884646166709770422465462163749­312903859494420307404069_<104> × [1238448185..._<3960>] (8.82%)

10⁴³⁴³+1 = 1000000000..._<4344> = 11 × 607 × 809 × 1213 × 57009401 × 1327067281_<10> × 2182600451_<10> × 7306116556571817748755241_<25> × 1150049039411782458546879600357516307683­6624586334794818271756072956027758946488­969_<83> × [1099999999..._<4201>] (3.29%)

10⁴³⁴⁴+1 = 1000000000..._<4345> = 17 × 2897 × 5882353 × 48341624801_<11> × 172577741915057_<15> × 9999999900000001_<16> × 318590214241530097_<18> × 124902811467234874428802417_<27> × 3741284323572778169733000409441_<31> × 3143846598630108332397250124781409_<34> × 46186243200327796436048713490806993_<35> × 5087286777331456707429506704063523681_<37> × [4706801710..._<1310>] × 7993445374..._<2803> (69.85%)

10⁴³⁴⁵+1 = 1000000000..._<4346> = 11² × 23 × 331 × 1423 × 4093 × 5171 × 8779 × 9091 × 351077 × 521401 × 594397 × 1835329 × 9615060929_<10> × 13556339171_<11> × 20163494891_<11> × 468789698939_<12> × 18043474417651_<14> × 6295632499623851_<16> × 318727841165674579776721_<24> × 4539787279569136988691351491_<28> × 2496620354934153949581919485467962522581­1_<41> × 3613555358003959773974480318855813691765­1907171_<47> × 6644317454149057909799751015802107695839­2938976011506949065646573_<65> × 4266053039222990335107243610234424425061­7560023502875336329183331096805000157530­3955423965002430317691465880913614654564­5273131617998631520068092655794058556332­5081869311166989363491_<182> × [1175032424..._<746>] × [3716627735..._<3097>] (11.58%)

10⁴³⁴⁶+1 = 1000000000..._<4347> = 101 × 1061 × 68389 × 5051749 × 3504171109_<10> × 51649606512570029129941_<23> × 245391150214875249502685807421982149521_<39> × 7527704835280872962667987585290144803454­0173569840168229_<56> × 1447745997018511893740076606031686237538­345362413531560645573104006506749609_<76> × [5580447823..._<4128>] (5.02%)

10⁴³⁴⁷+1 = 1000000000..._<4348> = 7² × 11 × 13 × 19 × 47 × 127 × 139 × 379 × 967 × 2531 × 2689 × 20287 × 31051 × 52579 × 60859 × 459691 × 909091 × 5274739 × 70541929 × 1569936761_<10> × 14175966169_<11> × 37916801893_<11> × 74378092807_<11> × 143574021480139_<15> × 201548060483167_<15> × 549797184491917_<15> × 807866280880597_<15> × 143409436964525899_<18> × 8642670625016390971_<19> × 426231293073408134173_<21> × 1203881882727712699967_<22> × 831759677425747570837717_<24> × 2414667616251762189340783_<25> × 24649445347649059192745899_<26> × 223887624278002812670730041_<27> × 18563440283324889687956451007_<29> × 23391028206417273637358380573_<29> × 189772422673235585874485732659_<30> × 7775058388319250595762800404689_<31> × 117680633072620952134930832292859_<33> × 5342512091349500920639852868215477_<34> × 63060936944326674212591995662102125143_<38> × 3309383964775818489317002654646529291847_<40> × 1880709802856952955373413305337158032187­793270681_<49> × 4841193139246416682912992055944726358563­520908223_<49> × 8396109478..._<226> × 2762606195..._<347> × [2343800223..._<772>] × [4893810546..._<2302>] (29.31%)

10⁴³⁴⁸+1 = 1000000000..._<4349> = 73 × 137 × 9999000099..._<4344> (100.00%)

10⁴³⁴⁹+1 = 1000000000..._<4350> = 11 × 8699 × 21188329 × 58518195649_<11> × 17403586346212757_<17> × [4842967976..._<4310>] (0.90%)

10⁴³⁵⁰+1 = 1000000000..._<4351> = 61 × 101 × 349 × 601 × 1741 × 3541 × 9901 × 27961 × 38861 × 52201 × 60101 × 118901 × 139201 × 261301 × 591601 × 618049 × 997369 × 2392501 × 3488701 × 3903901 × 4188901 × 7019801 × 9161101 × 28396801 × 39526741 × 44293441 × 46659841 × 169745701 × 168290119201_<12> × 14103673319201_<14> × 400450755477401_<15> × 1680588011350901_<16> × 15565833747318241_<17> × 2102595954900526861_<19> × 25074091038628125301_<20> × 122678497066960463501_<21> × 297539144610727899181_<21> × 1767955366388381478541_<22> × 157002934023127338801841_<24> × 37949859494080304274482401_<26> × 2122059937446676383606257085781_<31> × 4477350074169470752905544969081_<31> × 14087942679857610940613213182901_<32> × 38654658795718156456729958859629701_<35> × 925473240150495502771483432977308389_<36> × 1181180637520183640867963573625866958318­7541_<44> × 2004594328563924403139229874961691116225­4803611180129676814249196577825262970771­61_<82> × 2022907403453455435045739409943184658625­1136936003634971287976573977944682716320­34457525101_<91> × 3850049707068809602755681788256572899041­6892548263819672284096593431517949011701­136219584563960572421_<101> × 3416328483006512256320335979072423448945­3224540068302972559496274040179921158105­52611056496561408407441_<103> × 2663699171292748052130246823821019684257­4038046073718232654640482565934665811782­6654216296371288154594891206095130287398­41141750121254557418299333497201_<152> × [9668803101..._<527>] × [2121330493..._<541>] × [1264317985..._<1078>] × [6495258808..._<1105>] (25.31%)

10⁴³⁵¹+1 = 1000000000..._<4352> = 11 × 909090909090909091_<18> × 2317091604522004723965449_<25> × 3399416765550765170055851_<25> × 13698916120719106774003876717_<29> × 456434526713811364709322618761_<30> × 2212236817374327109435022561220753426295­7_<41> × 1327080770360051827311085848069503304359­5534787235597140531_<59> × 1336395914067475494619360928220680511145­1988579353305502489853541907429637950525­53003443246310484435548877_<106> × [5175157573..._<4022>] (7.57%)

10⁴³⁵²+1 = 1000000000..._<4353> = 10753 × 2350081 × 8253953 × 9524994049_<10> × 73171503617_<11> × 1616596633..._<225> × [4255172481..._<4090>] (6.03%)

10⁴³⁵³+1 = 1000000000..._<4354> = 7 × 11 × 13 × 2903 × 434525167 × 79920825893842651_<17> × 53434536283464632758117_<23> × [3131556696..._<1447>] × [5921908114..._<2852>] (1.26%)

10⁴³⁵⁴+1 = 1000000000..._<4355> = 29 × 101 × 281 × 2185709 × 121499449 × 37440786181_<11> × 2710050937527881350041536549_<28> × 20270411022697016392828178929_<29> × [4884454532..._<592>] × [4554142544..._<3676>] (1.99%)

10⁴³⁵⁵+1 = 1000000000..._<4356> = 11 × 131 × 859 × 2011 × 9091 × 3274961 × 248807851 × 1058313049_<10> × 7261216121_<10> × 1169982318623_<13> × 8396862596258693901610602298557167100076­327481_<46> × 9090909090909090909090909090909090909090­90909090909090909090909091_<66> × 3027630197..._<243> × 9401851485..._<780> × [2775910919..._<3162>] (27.41%)

10⁴³⁵⁶+1 = 1000000000..._<4357> = 73 × 137 × 617 × 2377 × 3169 × 8713 × 16369 × 98641 × 174241 × 432961 × 761113 × 99990001 × 6796152793_<10> × 24387741577_<11> × 99677548081_<11> × 440718109921_<12> × 45252944075593_<14> × 3199044596370769_<16> × 17295772534876211113_<20> × 126197002179733470481_<21> × 14923400929331693063761_<23> × 283830826522232279893972777_<27> × 4987445373502665124237014313_<28> × 16205834846012967584927082656402106953_<38> × 7408727338313716781446937691661250885891­761_<43> × 2625337693394736524749030680609212373929­56780959193_<51> × 2462889436074635750496310577048727893156­48893038409344335438892115177_<69> × 3286441734725167632640591449151190304019­453738946987847768004461574472857_<73> × [3809033795..._<390>] × [1000000000..._<881>] × [5639327547..._<2576>] (11.72%)

10⁴³⁵⁷+1 = 1000000000..._<4358> = 11 × 148139 × 79932798739_<11> × 138297164389640357_<18> × 17978982600018216677_<20> × 202697964805187412520237776677_<30> × [1523298838..._<4275>] (1.90%)

10⁴³⁵⁸+1 = 1000000000..._<4359> = 101 × 1289969 × 133075889 × 1477113202786819352869_<22> × [3904686729..._<4321>] (0.86%)

10⁴³⁵⁹+1 = 1000000000..._<4360> = 7 × 11 × 13 × 5813 × 148207 × 30356077 × 110140518139_<12> × 424256237949953276059_<21> × [1055208486..._<1444>] × [7747072318..._<2865>] (1.17%)

10⁴³⁶⁰+1 = 1000000000..._<4361> = 17 × 5070721 × 5882353 × 406893948001_<12> × 3831796138952006881_<19> × 19721061166646717498359681_<26> × 43922242252020060474812593_<26> × 5941732520..._<820> × [2457642869..._<3445>] (21.00%)

10⁴³⁶¹+1 = 1000000000..._<4362> = 11 × 179 × 197 × 3739 × 100927 × 909091 × 4688699 × 12147237304901893_<17> × 5076141624365532994918781726395939035533_<40> × 4180967272673252032291190917188955510245­874180001164839931077197586653_<70> × [6216951209..._<513>] × [1000000099..._<3697>] (3.49%)

10⁴³⁶²+1 = 1000000000..._<4363> = 101 × 2909 × 9901 × 229484821 × 802889618550909581_<18> × 24474149875167364484471358364249_<32> × [1732093959..._<1400>] × [4401158148..._<2896>] (1.54%)

10⁴³⁶³+1 = 1000000000..._<4364> = 11 × 18461825077_<11> × 166593290670819162251_<21> × [2955800894..._<4332>] (0.72%)

10⁴³⁶⁴+1 = 1000000000..._<4365> = 73 × 137 × 87281 × 1710689 × [6696776369..._<4349>] (0.35%)

10⁴³⁶⁵+1 = 1000000000..._<4366> = 7 × 11 × 13 × 19 × 211 × 241 × 971 × 2161 × 8731 × 9091 × 10477 × 29611 × 43651 × 52579 × 236681 × 3762091 × 4097281 × 249581971 × 5566733971_<10> × 82489592491_<11> × 110023954291_<12> × 1191471327127_<13> × 2519775841411_<13> × 8985695684401_<13> × 321550681707243091_<18> × 25285741094687300184091_<23> × 102527361354613106010527_<24> × 255599725304866566400921_<24> × 1050177580661792271099979_<25> × 28817173199926034910009721_<26> × 535845096217228836681072091_<27> × 323338434891034089173475790125293_<33> × 116089721943926115626614365020206939_<36> × 2742269936605462168329562307947106658888­1_<41> × 1209932983651298761631732103023280632931­43_<42> × 9458103282238667858859052854295056421993­47228900195881_<54> × 9082330292251962304688193151167683450110­1361795433685463732751578239819170875604­9259224485047609714729365430665450971254­1945987920778472370936173919077_<151> × [1102051878..._<302>] × [1115656535..._<464>] × [1084192588..._<674>] × [1425736572..._<2275>] (14.98%)

10⁴³⁶⁶+1 = 1000000000..._<4367> = 101 × 149 × 3109 × 111149 × 430148941 × 708840373781_<12> × 669031686661427842829_<21> × 40548140514062774758071840361_<29> × 2301758566693739922539762779746120311824­9662502388680738607258133387102794008715­4579555293851089822885094561_<108> × [1009999999..._<4177>] (4.35%)

10⁴³⁶⁷+1 = 1000000000..._<4368> = 11² × 23 × 4093 × 8779 × 131011 × 15149521 × 16790376230301757_<17> × 4623381423183970412975545037921_<31> × 3573945994..._<373> × [1816039121..._<3925>] (10.14%)

10⁴³⁶⁸+1 = 1000000000..._<4369> = 97 × 353 × 449 × 641 × 673 × 1409 × 8737 × 69857 × 206209 × 1454209 × 9396577 × 19725473 × 57653857 × 2149842241_<10> × 4694971009_<10> × 40336502753_<11> × 43735845217_<11> × 66554101249_<11> × 75118313082913_<14> × 754651871841089_<15> × 4155351649525441_<16> × 49190086416352961_<17> × 77700458351603754241_<20> × 465149401935712615628055361_<27> × 20275219423179517169965224971521_<32> × 52866958603164277225413781258884193_<35> × 217860610452031121598489279950204653537_<39> × 1559440092962140541006269160037944071573­04353_<45> × 9986697252427170443379404780485503284471­8975174004188801858970187176731955358724­384510844782429115617_<101> × 3385712628753289239019454468275018070505­6727269149496594755320455272870740814407­0214357217318801663936431733367877452215­20888878951616858121601_<143> × [8890597240..._<351>] × [1144557628..._<1149>] × [8798508981..._<2260>] (13.94%)

10⁴³⁶⁹+1 = 1000000000..._<4370> = 11 × 103 × 4013 × 17477 × 30841 × 210227543 × 7625539007_<10> × 21993833369_<11> × 36026104538131_<14> × 4123604451215660377797954419594315251727­1779_<44> × 6621650829759394867011952029659651154933­062041670057842400167_<61> × 1079532167431061415165932592055901092454­4515923091483261516179005142159224077563­4021889587984186060013840344014199816718­1967545309634241890872640207_<148> × [1089803836..._<4061>] (7.07%)

10⁴³⁷⁰+1 = 1000000000..._<4371> = 101 × 461 × 761 × 1289 × 1901 × 3041 × 3541 × 8741 × 27961 × 74861 × 509681 × 8259301 × 15863101 × 149856041 × 417332341 × 1440247121_<10> × 21631222069_<11> × 93744372901_<11> × 4107757827661_<13> × 18371524594609_<14> × 722817036322379041_<18> × 1369778187490592461_<19> × 8225357978845859081_<19> × 439120676164610394481_<21> × 4181003300071669867932658901_<28> × 354969305477178480614478251861_<30> × 780548018657747948342675331841_<30> × 8177669991059740173635806566781_<31> × 224194986265081286385797800275781_<33> × 4581921817207406357730186303139529968338­01_<42> × 2054722677878217012053943008368973039472­7567536361_<50> × 8706477230774434247302401224903949603507­73424147330153671641266669332491181_<75> × [4799880529..._<735>] × [1205770501..._<1540>] × [1762644014..._<1578>] (11.88%)

10⁴³⁷¹+1 = 1000000000..._<4372> = 7 × 11 × 13 × 373 × 6299 × 44641 × 344887 × 9127213 × 3590254957_<10> × 7324375425001_<13> × 715328541721481_<15> × 4855067598095567_<16> × 575959441688891893_<18> × 1160803383934463712259_<22> × 10918819300926930502446299_<26> × 40423608201848849092254329_<26> × 297262705009139006771611927_<27> × 909090909090909090909090909091_<30> × 1838190726228124463315819067778696666309­1011_<44> × 3007356627055904894814255974151270879659­0524703892560552659_<59> × [6049012397..._<1297>] × [1242426756..._<2748>] (7.48%)

10⁴³⁷²+1 = 1000000000..._<4373> = 73 × 137 × 1941169 × 14453833 × 703783257011456142875801113_<27> × [5063738411..._<4328>] (1.01%)

10⁴³⁷³+1 = 1000000000..._<4374> = 11 × 27204187390376287_<17> × [3341731535..._<4356>] (0.40%)

10⁴³⁷⁴+1 = 1000000000..._<4375> = 101 × 109 × 4861 × 9901 × 153469 × 408241 × 2925721 × 2963341261_<10> × 999999000001_<12> × 22479830874469_<14> × 40798705910329_<14> × 434082721482552113452729_<24> × 729719975272091111399590489_<27> × 33729808629777514947680458609_<29> × 55694301076812733545145841929_<29> × 59779577156334533866654838281_<29> × 168199595687205968107363838899561_<33> × 4195814654151937120330327975639201_<34> × 3417960906046748818496363802290102166269­4426433689336713924533473971031414136891­3850637159182300704681_<102> × 4108154882..._<248> × [5985576715..._<858>] × [1795515843..._<2888>] (14.38%)

10⁴³⁷⁵+1 = 1000000000..._<4376> = 11 × 251 × 5051 × 7001 × 9091 × 21001 × 160001 × 162251 × 909091 × 4147571 × 19320001 × 2672346251_<10> × 3612546001_<10> × 10893295001_<11> × 299547376801_<12> × 50779597795001_<14> × 78875943472201_<14> × 128372635774581251_<18> × 265212793249617641_<18> × 2694097928717316276645861946622812338537­0101110890672605575327268108228244170925­1_<81> × 9241137585308473837647875304009126599764­6354969374382095286967217633444509064918­2638712486115217201_<99> × [9587725422..._<464>] × [1428367376..._<597>] × [1936868460..._<2984>] (7.58%)

10⁴³⁷⁶+1 = 1000000000..._<4377> = 17 × 8753 × 5882353 × 2427422346353_<13> × 6154854161017661728588177_<25> × [7646803930..._<4327>] (1.12%)

10⁴³⁷⁷+1 = 1000000000..._<4378> = 7 × 11 × 13 × 26263 × 31890823 × 794157316664184535777113799277_<30> × [4358694592..._<1424>] × [3445822326..._<2909>] (1.02%)

10⁴³⁷⁸+1 = 1000000000..._<4379> = 89 × 101 × 1052788969_<10> × 1056689261_<10> × 65075198729509_<14> × 581140178513809_<15> × 2531816287376059310229950814784587426050­5144789_<47> × [6729232509..._<335>] × [1552050581..._<3947>] (2.22%)

10⁴³⁷⁹+1 = 1000000000..._<4380> = 11 × 59 × 94560127 × 181288487 × 153653579173_<12> × 12331942624071394811_<20> × 83611301120545643796248647_<26> × 154083204930662557781201849_<27> × 47117519089873575035938270583_<29> × 2646756758131654397378192081701748003041­997_<43> × 9998823061783773451618898466551985927663­47086896770989636138585751423_<69> × [2952821819..._<4138>] (5.52%)

10⁴³⁸⁰+1 = 1000000000..._<4381> = 73² × 137 × 1753 × 468953 × 1676321 × 99990001 × 5964848081_<10> × 201503652001_<12> × 162393769017609303761_<21> × 560241285391602728795407681_<27> × 1151361049176683268438668401_<28> × 100009999999899989999000000010001_<33> × 9722345620277187789066356828913697172866­35199884272325005809_<60> × 1499916515585961882150872392293911771417­4412730158634078875737296006185810419004­608104019977_<92> × 7035824104334249358887740710881970075945­2911094693221530830269202458246111885732­49681116336645956647224241_<106> × 1000099999..._<577> × [1000099999..._<1153>] × [7692845463..._<2239>] (22.58%)

10⁴³⁸¹+1 = 1000000000..._<4382> = 11 × 859 × 121321 × 1058313049_<10> × 2251702571_<10> × 55027074590990508852961_<23> × 7148917122985644732150290831469760095746­9967193571_<50> × 1687858617956114857563779160203327248258­725852773131_<52> × 6212295588944543675408916959295410031142­93128504188334503_<57> × 1026282027280308917043369461435270670635­02899291229635778464234241801_<69> × 7861197759376969310871284581062232753724­157295719665271243468634881392447_<73> × [1099999999..._<4033>] (7.97%)

10⁴³⁸²+1 = 1000000000..._<4383> = 29 × 101 × 281 × 87641 × 121499449 × 1171417416329_<13> × 4515114965644660959626141751170021_<34> × [8452145205..._<612>] × [2552379433..._<3706>] (1.48%)

10⁴³⁸³+1 = 1000000000..._<4384> = 7 × 11 × 13 × 19 × 52579 × 1842809 × 4865131 × 25140889 × 60809743 × 60932105945317_<14> × 181117500908540983_<18> × 46031771059124302914419_<23> × [1071690314..._<458>] × [8157364214..._<933>] × [1642812083..._<2903>] (2.07%)

10⁴³⁸⁴+1 = 1000000000..._<4385> = 19841 × 976193 × 6187457 × 460075898881_<12> × 834427406578561_<15> × 37217610774266946974017_<23> × [5840123444..._<4318>] (1.51%)

10⁴³⁸⁵+1 = 1000000000..._<4386> = 11 × 9091 × 245561 × 40718146431331_<14> × 988528142618675731_<18> × [9090909090..._<876>] × [1112889157..._<3468>] (0.96%)

10⁴³⁸⁶+1 = 1000000000..._<4387> = 101 × 409 × 3061 × 9901 × 338669 × 5969449 × 28559389 × 134703241 × 1491383821_<10> × 225974065503889_<15> × 2324557465671829_<16> × 420570647974156601149_<21> × 8045181580990560114237163201_<28> × 44398000479007997569751764249_<29> × 1344172110233472762768249649453525782866­6281_<44> × 2020267606863888809647310157577889591431­21139209_<48> × 4622972482074222600507512561752822578524­6749164469_<50> × 2923500556298303355222653948542706598448­925085853709961673200056984872843366529_<79> × [2401499022..._<1324>] × [9901000000..._<2688>] (8.54%)

10⁴³⁸⁷+1 = 1000000000..._<4388> = 11 × 1499 × 28463 × 74687 × 392263 × 795653 × 3992171 × 13070969861216173_<17> × 2670502781396266997_<19> × 3404193829806058997303_<22> × 9140689231828972552925524522037823147045­9375713794943226862262823522886708019884­51_<82> × [2108024899..._<4218>] (3.87%)

10⁴³⁸⁸+1 = 1000000000..._<4389> = 73 × 137 × 1859288337312963521_<19> × [5377864153..._<4366>] (0.51%)

10⁴³⁸⁹+1 = 1000000000..._<4390> = 7² × 11² × 13 × 23 × 127 × 419 × 463 × 2689 × 2927 × 4093 × 8317 × 8779 × 24179 × 40129 × 85691 × 258743 × 459691 × 590437 × 909091 × 1458973 × 7444361 × 105520339 × 599144041 × 183411838171_<12> × 196339580053_<12> × 1956057910423_<13> × 425991366045253_<15> × 909090909090909091_<18> × 4539402627853030477_<19> × 4924630160315726207887_<22> × 136094982876222218559943_<24> × 247025236977306025681323889_<27> × 65007158613307189381152942277_<29> × 753201806271328462547977919407_<30> × 9493467562479980587204226253298411_<34> × 6182864575832214084266614451996269641748­7_<41> × 7202140393374612642649166575446551001787­7_<41> × 1749910110149610189324781144025793515209­7401_<44> × 9284668536078237580134472469990637899155­265743957_<49> × 6379603923183116557572498736754081808902­892003349145377489_<58> × 8039566261499250311127571481921649700572­0848358970463128898412464716963453686123­6854805849361_<93> × 1314796364370465263255727975869858721203­3283223333451187877069162714784603584406­816150353817835190742091970171_<110> × 1184063086040147380329868803939835534836­9873648652373709121433689111103721666356­9858459578047055026965068496734007753047­7246997846873893490310131726641084013831­34457213_<168> × [1907025981..._<253>] × [2943394391..._<1069>] × [8642028059..._<2119>] (21.63%)

10⁴³⁹⁰+1 = 1000000000..._<4391> = 101 × 3541 × 27961 × 84831373129_<11> × 32524550757016458408427921_<26> × [3588482418..._<840>] × [3576409999..._<1752>] × [2824060999..._<1753>] (1.06%)

10⁴³⁹¹+1 = 1000000000..._<4392> = 11 × 8783 × 142962179 × 174465802691_<12> × 3038717194729259_<16> × [1365660275..._<4352>] (0.91%)

10⁴³⁹²+1 = 1000000000..._<4393> = 17 × 977 × 8929 × 17569 × 5882353 × 41188177 × 50303041 × 64667809 × 9999999900000001_<16> × 967901760520372289_<18> × 7849115417706986501273297_<25> × 13501974323433688063050622369_<29> × 12126864657751886263647243158401_<32> × 1119946242580356142905139433307201254339­79169_<45> × 1333621378380781329750868926173511152429­445865079521_<52> × 8330524721..._<352> × [8380336225..._<920>] × [3754389120..._<2865>] (13.83%)

10⁴³⁹³+1 = 1000000000..._<4394> = 11 × 47 × 139 × 383 × 2531 × 679961 × 4041943 × 955059211 × 78087485383_<11> × 549797184491917_<15> × 7224236663364751013_<19> × 1239237054052276731077_<22> × 3370796736173938091727422330529475982098­304687381174810841794785884893349397_<76> × 3435500786829010526015101442384645669200­8580727031775135173625397961285416300659_<80> × [1228701333..._<4141>] (5.76%)

10⁴³⁹⁴+1 = 1000000000..._<4395> = 101 × 521 × 89909 × 1900381976777332243781_<22> × 7249657507840161826942418511086116063748­219199832125768043099150081_<67> × 2323721198769072808223213919511681833086­3129965843008380758930764946498627041021­8850191981_<90> × 6602301042905025014150499310047313448245­6826690117291289575150311492794427479581­3847980287732601492252194171019494290492­1087201551745922931834010574449_<151> × [9999999999..._<4056>] (7.69%)

10⁴³⁹⁵+1 = 1000000000..._<4396> = 7 × 11 × 13 × 211 × 241 × 2161 × 9091 × 86143 × 11567641 × 25041423311011_<14> × 174983611899571_<15> × 4509406274733641_<16> × 190675328239280761_<18> × 9090909090..._<292> × [1275670801..._<580>] × [2439321128..._<1153>] × [9415644313..._<2284>] (8.64%)

10⁴³⁹⁶+1 = 1000000000..._<4397> = 73 × 137 × 7841 × 127522001020150503761_<21> × 35252297613924163416857_<23> × 265992545707898899331089_<24> × 10231025667791599712682313_<26> × 95019915984636420044068341569_<29> × 1066349768..._<579> × [1028749437..._<3691>] (16.06%)

10⁴³⁹⁷+1 = 1000000000..._<4398> = 11 × [9090909090..._<4396>] (0.02%)

10⁴³⁹⁸+1 = 1000000000..._<4399> = 101 × 9901 × 167871661 × 3967655701_<10> × 3464031640636033439881_<22> × 46318655049152293496020489_<26> × 1250127667091820297770116921_<28> × 3833872109492457114118463738183809_<34> × 2286348395..._<1416> × [8539176916..._<2851>] (35.18%)

10⁴³⁹⁹+1 = 1000000000..._<4400> = 11 × 167 × 997 × 96779 × 3565183 × 24282481 × 2097307081_<10> × 8565813134539_<13> × 4418190910202809_<16> × 7742098247001476863_<19> × 9431769031413300684826029009602942998788­41_<42> × 9090909090909090909090909090909090909090­909090909091_<52> × [1236816936..._<4224>] (4.00%)

10⁴⁴⁰⁰+1 = 1000000000..._<4401> = 353 × 449 × 641 × 1409 × 4801 × 11969 × 14081 × 43201 × 69857 × 980801 × 1634881 × 4913921 × 18453761 × 470909313601_<12> × 947147262401_<12> × 5054095645487169601_<19> × 21010321313771615056001_<23> × 349954396040122577928041596214187605761_<39> × 585903038877880401685466313109511755841_<39> × 3610577595400972880729372479797253529720­5518185340826569980047852155932659115309­4457376181755912540092512773699689532234­798987224827675649_<138> × [4915793084..._<306>] × [2398265690..._<579>] × [4759565477..._<3178>] (7.69%)