10³⁴⁰¹+1 = 1000000000..._<3402> = 11 × 163249 × 909090909090909091_<18> × 32955332158747323167_<20> × 523661705392754764972834211810001059_<36> × 1736027094838023676544212358044818093424­6742941840774929827069381097446101825710­3139536333050392475382212050370542458702­92654737645806593390849_<143> × [2044638161..._<3180>] (6.52%)

10³⁴⁰²+1 = 1000000000..._<3403> = 29 × 101 × 109 × 281 × 1009 × 2269 × 4861 × 9901 × 138349 × 153469 × 226549 × 2925721 × 121499449 × 605070649 × 43266855241_<11> × 999999000001_<12> × 40798705910329_<14> × 1119862419800041_<16> × 4458192223320340849_<19> × 17438498092526867749_<20> × 31893385500901391256721_<23> × 729719975272091111399590489_<27> × 59779577156334533866654838281_<29> × 9391041808951630899634282002781_<31> × 168199595687205968107363838899561_<33> × 1653588207338837707362330155273201758695­93121_<45> × 2290624689643723122789957563362013976604­4690040039603689929_<59> × 3444104493925557919913918425655605272048­57067026484035552706583597118812185729_<78> × 1755885991823397127426735304525660412362­5708155378236163954582400346807794005623­131429977614689_<95> × 3417960906046748818496363802290102166269­4426433689336713924533473971031414136891­3850637159182300704681_<102> × 4108154882..._<248> × [5606213323..._<600>] × [1605556631..._<1888>] (26.90%)

10³⁴⁰³+1 = 1000000000..._<3404> = 11 × 167 × 997 × 13613 × 3565183 × 2097307081_<10> × 4255390247_<10> × 343276429750699_<15> × 2670502781396266997_<19> × 7742098247001476863_<19> × 3404193829806058997303_<22> × 9431769031413300684826029009602942998788­41_<42> × [5531659789..._<3252>] (4.44%)

10³⁴⁰⁴+1 = 1000000000..._<3405> = 73 × 137 × 2393 × 61544617 × 16444765848115921_<17> × 4178437150016715837818641871709193476807­7726285039694944003301299623485206849143­75257_<85> × 9879587347765036607308472984299267446449­2842748785038003856042863807090965021048­0224210297181360032908354907525523774393_<120> × [1000099999..._<3169>] (6.93%)

10³⁴⁰⁵+1 = 1000000000..._<3406> = 7 × 11 × 13 × 211 × 241 × 2161 × 9091 × 115771 × 1825081 × 2669521 × 6081331 × 36346333 × 52135091 × 590179571 × 113058412361_<12> × 2152139463931_<13> × 3861904074787001_<16> × 62582482880509718700841_<23> × 6476572499..._<203> × [1098901098..._<453>] × [1037057595..._<842>] × [6005883409..._<1784>] (9.64%)

10³⁴⁰⁶+1 = 1000000000..._<3407> = 101 × 521 × 1049 × 14149 × 33887081 × 45401981 × 322185369274849_<15> × 1900381976777332243781_<22> × 1345744499..._<224> × [1009999999..._<3121>] (8.40%)

10³⁴⁰⁷+1 = 1000000000..._<3408> = 11 × 47699 × 291427967 × 169517769502927888474512365281_<30> × [3857905493..._<3364>] (1.27%)

10³⁴⁰⁸+1 = 1000000000..._<3409> = 97 × 353 × 449 × 641 × 1409 × 2273 × 69857 × 206209 × 742316929 × 66554101249_<11> × 95132959073_<11> × 146398348897_<12> × 75118313082913_<14> × [6229887350..._<1097>] × [6830678129..._<2229>] (2.42%)

10³⁴⁰⁹+1 = 1000000000..._<3410> = 11 × 909091 × 1842809 × 3113951051_<10> × 1171842843942793551649_<22> × 46031771059124302914419_<23> × 105311292346148375021459_<24> × [1071690314..._<458>] × [2862441011..._<2863>] (2.63%)

10³⁴¹⁰+1 = 1000000000..._<3411> = 89 × 101 × 661 × 3541 × 18041 × 27281 × 27961 × 47741 × 148721 × 2049349 × 26291101 × 96271121 × 183276589 × 1052788969_<10> × 1056689261_<10> × 1121407321_<10> × 854097155341_<12> × 57283461787861_<14> × 5694051098461516747661_<22> × 1395900370916327245555441901_<28> × 82154200322378494269088725509_<29> × 36380545029953205956377406702261_<32> × 925323140307633681633371781508201_<33> × 4831285495545122373055545883590398223973­07149685578249_<54> × 3576409999642362576445763742357211830764­2788176388541182361148385250885161475626­7658524373235935767676406423590000357641_<120> × 2824060999717591075967240892404687941259­5312053092346794690767297373623270262072­8607737927140638237785936175939000282406­1_<121> × [2056524992..._<528>] × [4932729323..._<1144>] × [7704315216..._<1187>] (16.19%)

10³⁴¹¹+1 = 1000000000..._<3412> = 7 × 11 × 13 × 19 × 6823 × 10613 × 52579 × 30817249 × 6735899539_<10> × 1370866601089_<13> × 41226509921428927_<17> × 204325427392775929_<18> × 1393761321069755973619_<22> × 4918445244727502358176820280164673127_<37> × 3358452086027876701197020751703223710830­9731086439023_<53> × [1682706163..._<278>] × [7884428146..._<735>] × [1886118270..._<2209>] (5.59%)

10³⁴¹²+1 = 1000000000..._<3413> = 73 × 137 × 818186717146550377_<18> × 2054446842971035766997257_<25> × [5948524289..._<3366>] (1.35%)

10³⁴¹³+1 = 1000000000..._<3414> = 11 × [9090909090..._<3412>] (0.03%)

10³⁴¹⁴+1 = 1000000000..._<3415> = 101 × 6829 × 9901 × 2066432749_<10> × [9900990099..._<1136>] × [7157190071..._<2259>] (0.56%)

10³⁴¹⁵+1 = 1000000000..._<3416> = 11 × 1367 × 9091 × 245881 × 17539022047657361_<17> × 37575634343860927081_<20> × 178360625706599929091_<21> × 188379244625933266629990168251_<30> × [6650262685..._<679>] × [2020317557..._<2638>] (2.90%)

10³⁴¹⁶+1 = 1000000000..._<3417> = 17 × 113 × 977 × 6833 × 5882353 × 5943841 × 967901760520372289_<18> × 73765755896403138401_<20> × 7849115417706986501273297_<25> × 119968369144846370226083377_<27> × 12126864657751886263647243158401_<32> × 1333621378380781329750868926173511152429­445865079521_<52> × 8330524721..._<352> × [2462189076..._<2870>] (16.00%)

10³⁴¹⁷+1 = 1000000000..._<3418> = 7 × 11 × 13 × 103 × 4013 × 7237 × 82009 × 232357 × 17830074841_<11> × 21993833369_<11> × 291078844423_<12> × 274116723646663_<15> × 851109498533797_<15> × 377526955309799110357_<21> × 45360300267343173645804799921_<29> × 9090909090909090909090909090909090909090­90909090909090909090909091_<66> × 2205898426186801989910867313546784882759­26380957742565496334997548411735059_<75> × [1341316197..._<1052>] × [1428729787..._<2093>] (8.01%)

10³⁴¹⁸+1 = 1000000000..._<3419> = 101 × 3951209 × 223147549 × 20415654231968489599172591591429_<32> × [5500386419..._<3370>] (1.41%)

10³⁴¹⁹+1 = 1000000000..._<3420> = 11 × 859 × 410280001 × 1058313049_<10> × 104165866117_<12> × 935875736987641_<15> × 32599997500413773_<17> × 33626248303504467820105928929_<29> × 11752801686094820502490861046771611_<35> × 9713799312..._<247> × [1997788540..._<3046>] (10.93%)

10³⁴²⁰+1 = 1000000000..._<3421> = 73 × 137 × 457 × 3169 × 4561 × 27361 × 27817 × 77977 × 98641 × 205201 × 1403417 × 1676321 × 99990001 × 265183201 × 376102873 × 5964848081_<10> × 36120612721_<11> × 3199044596370769_<16> × 5240808656722481737_<19> × 2717962829681813765353_<22> × 24899977366537056115201_<23> × 543743669900453389252544881_<27> × 17413881492892638194125874641_<29> × 13591271120229398317886003161009_<32> × 100009999999899989999000000010001_<33> × 12231385993824607429587973444912801_<35> × 95853807664312827399794371014650641_<35> × 2974783307863656284148053052903024835550­43017_<45> × 3934092998504003793986055051156601020217­3435808159761_<53> × 1947203319137605460749061613759302679230­7169586329967874918737775454375796284178­5054377649_<90> × 8176505920..._<254> × [4718347949..._<406>] × [8804355055..._<550>] × [1881043168..._<1664>] (23.42%)

10³⁴²¹+1 = 1000000000..._<3422> = 11² × 23 × 4093 × 8779 × 82727 × 2011741416499_<13> × 2122689869717_<13> × 7966595011106561_<16> × 19203277218193440703_<20> × 3416317897947415066069561_<25> × 835375365056917236891484436143_<30> × 9722570040019830786629614035135659958431­34142539444914120798476327_<66> × 6233584499738299340076596109269276052417­987101388073691610569618213_<67> × 3757005930677198922936344579908581980435­2071605845144498519402657854750942650192­9457106333_<90> × [2847378337..._<3069>] (10.31%)

10³⁴²²+1 = 1000000000..._<3423> = 101 × 349 × 38861 × 618049 × 430148941 × 465097709 × 653196364958731709_<18> × 1181180637520183640867963573625866958318­7541_<44> × 2301758566693739922539762779746120311824­9662502388680738607258133387102794008715­4579555293851089822885094561_<108> × [3324554174..._<3222>] (5.86%)

10³⁴²³+1 = 1000000000..._<3424> = 7² × 11 × 13 × 127 × 653 × 2689 × 11411 × 13693 × 59659 × 233743 × 459691 × 909091 × 101971171 × 199552099 × 67960926601_<11> × 14286890032106357_<17> × 2832911283482389117_<19> × 5674611488598845899_<19> × 39793958616147394012943_<23> × 65607397074578078075413_<23> × 6695347994383903097965599192075381609975­4871899_<47> × 1062881061565441896011124521244632741184­4160316876726377750029028546467748157093­4480831778653_<93> × [3949005368..._<306>] × [2422433102..._<946>] × [1245038618..._<1866>] (8.97%)

10³⁴²⁴+1 = 1000000000..._<3425> = 19841 × 976193 × 6187457 × 834427406578561_<15> × [9999999999..._<3392>] (0.93%)

10³⁴²⁵+1 = 1000000000..._<3426> = 11 × 251 × 5051 × 9091 × 28771 × 364393423 × 1039508051_<10> × 13546296961_<11> × 117651465889_<12> × 222884971201_<12> × 78875943472201_<14> × 441651480271681_<15> × 676321006412903_<15> × 472277212928930033041611851_<27> × 218801242136856556680173235529_<30> × 3244569580634956101009646791013296826459­859399717968478099_<58> × [1266286589..._<519>] × [2036945897..._<2685>] (6.50%)

10³⁴²⁶+1 = 1000000000..._<3427> = 101 × 9901 × 34261 × 95929 × 8032558489_<10> × 41899423610749_<14> × 10365429021851924749_<20> × 925878184670269334484641_<24> × 72902178953713285322996186513081_<32> × [4543310341..._<1056>] × [2844026393..._<2257>] (3.32%)

10³⁴²⁷+1 = 1000000000..._<3428> = 11 × 47 × 139 × 2087 × 2531 × 794769223169_<12> × 549797184491917_<15> × 9615683031450065714899_<22> × 151412933024377099958108209_<27> × 1654596091767978658661343653297922706352­07840943_<48> × 2737869430252705432917439814481839640694­075521336313521691938014929169431049_<76> × [9140893980..._<3218>] (6.10%)

10³⁴²⁸+1 = 1000000000..._<3429> = 73 × 137 × 6857 × 5610491276756975405466473_<25> × [2599091277..._<3396>] (0.95%)

10³⁴²⁹+1 = 1000000000..._<3430> = 7 × 11 × 13 × 19 × 2287 × 3557 × 52579 × 70541929 × 857772733 × 1094479651_<10> × 1125629957_<10> × 14175966169_<11> × 451897625287_<12> × 22242405278881_<14> × 24458633354539121167_<20> × 616896149073719728613_<21> × 10860110813777339731289_<23> × 1053449334720579590200819_<25> × 233289732122131763102049253_<27> × 3609953127360313821869930156556758170515­1216702113889_<53> × 4444349792156709907895752551798631908946­180608768737946280238078881_<67> × 2271069882651596165285719811405724153961­2255175575628229600861335392281601540481­9504625289055134338407924996143023758066­472872886277706507970899321_<147> × [4500412551..._<743>] × [1752557150..._<2223>] (13.53%)

10³⁴³⁰+1 = 1000000000..._<3431> = 29 × 101 × 281 × 421 × 3541 × 13721 × 27961 × 3471301 × 13489841 × 28523881 × 121499449 × 268330861 × 60368344121_<11> × 366395073564101_<15> × 59698658458259101_<17> × 354434210886621881_<18> × 848654483879497562821_<21> × 32422034720694602873554553373241_<32> × 74398155353151480548471742495521_<32> × 28706164502711390875680641913825481_<35> × 9999999999999900000000000000999999999999­9900000000000000999999999999990000000000­0001_<84> × 2685182852519969161222911119932065926432­1926211755790365181721224173410626748400­4209003780641949203741_<102> × 1148298545657619053989750841199882335621­3764198634286427880534854135362802144107­6133668350909404160578580106494602411458­108349501_<129> × [9999999999..._<588>] × [2251506787..._<1128>] × [2555086572..._<1165>] (16.04%)

10³⁴³¹+1 = 1000000000..._<3432> = 11 × 293 × 6299 × 6863 × 27449 × 102931 × 3693698261653_<13> × 4855067598095567_<16> × 297262705009139006771611927_<27> × 10826684964539959837294043117_<29> × 2865788889761949979999225923309086021030­11_<42> × [1535834969..._<3287>] (4.22%)

10³⁴³²+1 = 1000000000..._<3433> = 17 × 1249 × 49297 × 300977 × 648961 × 960961 × 5882353 × 10100113 × 148068337 × 9100359841_<10> × 10662171313_<11> × 325807801400017_<15> × 1882265863878401_<16> × 9999999900000001_<16> × 249227787818677482257_<21> × 75675153541982860202858401_<26> × 11786300284844910479546815969_<29> × 3336327664384090112747059870264076396700­42305536743429073_<57> × 1405148522012730653955873885730937250394­9399323665750407976449_<62> × 9900879227786858424257223656804730798555­422102713108259184822982673560177_<73> × 1383593264987051413465837895195158964937­3931206990077947806376316299006046330571­7055848920585883537_<99> × 1121164122863056567916507341571734921130­1068854209340842417386559363002502053200­017505737086336239008966529_<107> × [5312745819..._<945>] × [1143498680..._<1905>] (16.99%)

10³⁴³³+1 = 1000000000..._<3434> = 11 × [9090909090..._<3432>] (0.03%)

10³⁴³⁴+1 = 1000000000..._<3435> = 101² × 6869 × 453289 × 721141 × 28559389 × 1298676989_<10> × 1491383821_<10> × 3679329001_<10> × 19384130081_<11> × 2324557465671829_<16> × 12793360409007449_<17> × 4908990488743183603681_<22> × 18999600804120422640629_<23> × 5383539446793990416488818114381662511041_<40> × 1479870248985573318252709282951008209165­09_<42> × 2747096710559355357637346286256169476037­14681537231287179261_<60> × [1823000836..._<3154>] (8.18%)

10³⁴³⁵+1 = 1000000000..._<3436> = 7 × 11 × 13 × 211 × 241 × 2161 × 9091 × 2796091 × 7447081 × 62901721 × 147430724100851_<15> × 2317091604522004723965449_<25> × 38625769889283860775279091_<26> × 14333485763997084637130491135368291169_<38> × 2212236817374327109435022561220753426295­7_<41> × 1327080770360051827311085848069503304359­5534787235597140531_<59> × 1336395914067475494619360928220680511145­1988579353305502489853541907429637950525­53003443246310484435548877_<106> × [1029486629..._<413>] × [7461056756..._<898>] × [1339537132..._<1785>] (9.93%)

10³⁴³⁶+1 = 1000000000..._<3437> = 73 × 137 × 81096473 × 583845121 × 173514039586444751362099802953_<30> × [1217088979..._<3387>] (1.45%)

10³⁴³⁷+1 = 1000000000..._<3438> = 11 × 983 × 491983 × 909091 × 5306729 × 100580369 × 129785559623_<12> × 301240316407_<12> × 66098047998761_<14> × 4446707518200584686853006555169342665260­6026434296940573_<56> × [1635825721..._<390>] × [2060879063..._<2926>] (3.56%)

10³⁴³⁸+1 = 1000000000..._<3439> = 101 × 9901 × 77929 × 103141 × 106961 × 206281 × 57277081 × 999999000001_<12> × 1781089125861109_<16> × 717942325692136609_<18> × 73472746903541420644308378889_<29> × 25762160699044581625996505932981_<32> × 1396800425902139920218327445264872633720­3224861_<47> × [8503930644..._<324>] × [2749008351..._<740>] × [1245632984..._<2190>] (5.40%)

10³⁴³⁹+1 = 1000000000..._<3440> = 11 × 13757 × 1900054379_<10> × 47343133646129_<14> × 909090909090909091_<18> × 1467439874822650361_<19> × 5781376922797866530410940379929163649687­6923883191635824278127299864929561_<74> × 7789184249331553934805110885787624954095­4771637632968716627112002173902204209005­4703_<84> × [1222840049..._<3218>] (6.45%)

10³⁴⁴⁰+1 = 1000000000..._<3441> = 353 × 449 × 641 × 1409 × 69857 × 1634881 × 18453761 × 248776673 × 947147262401_<12> × 1815275379329_<13> × 16330640885569_<14> × 4192535854321921_<16> × 349954396040122577928041596214187605761_<39> × [1355952881..._<639>] × [2385191289..._<2673>] (3.76%)

10³⁴⁴¹+1 = 1000000000..._<3442> = 7 × 11 × 13 × 223 × 373 × 4663 × 7253 × 44641 × 3590254957_<10> × 44386050853_<11> × 1320477480499_<13> × 422650073734453_<15> × 296557347313446299_<18> × 14995929010926962313847_<23> × 909090909090909090909090909091_<30> × 21606064498691505246200058094681_<32> × 48911689110891303706174193415115219_<35> × 1838190726228124463315819067778696666309­1011_<44> × [2478256071..._<1070>] × [4595544938..._<2126>] (7.15%)

10³⁴⁴²+1 = 1000000000..._<3443> = 101 × 23026981 × 70664261 × 10966451538208346707801_<23> × [5548501123..._<3403>] (1.14%)

10³⁴⁴³+1 = 1000000000..._<3444> = 11² × 23 × 4093 × 5009 × 8779 × 5254019 × 414635814407_<12> × 449661136651_<12> × 1074844665139845442819616837_<28> × 9319081484273070606130677117435797717_<37> × 3942061217624131929520541160207424212724­650028976527_<52> × 5898557425308733036489971006069064639342­7731561440540170425557369451688287845439­3085805024793769310885400567_<108> × 7261751812247044745451881276209273976406­1943025353225549543353013253141910591452­0675702969013863565170795844423203412555­03_<122> × [1204968714..._<3054>] (11.32%)

10³⁴⁴⁴+1 = 1000000000..._<3445> = 73 × 137 × 2297 × 2953 × 7841 × 68881 × 826561 × 1144393 × 99990001 × 121553521 × 11189053009_<11> × 1158471408529_<13> × 51635353141921_<14> × 115655432914609337_<18> × 603812429055411913_<18> × 127522001020150503761_<21> × 148029423400750506553_<21> × 36637591407529194237097_<23> × 39901494083192290798369_<23> × 19525935860882579293542098233_<29> × 1523756597661425772732982608015377525913­129160101547143097_<58> × 2245236606248397162554620353530247131809­5554391743324562620485785399554026316658­3148992537007203882503748922397253629192­9859656473_<130> × 3761335188..._<240> × [2799014134..._<907>] × [2617020865..._<1880>] (19.11%)

10³⁴⁴⁵+1 = 1000000000..._<3446> = 11 × 131 × 859 × 9091 × 538481 × 80096251 × 83176081 × 1058313049_<10> × 2040723131_<10> × 3961565781890816563346704051_<28> × 8396862596258693901610602298557167100076­327481_<46> × 9090909090909090909090909090909090909090­909090909091_<52> × 2526777489848353556260463473948408884731­6368931266148924916476686072210610478888­2370361457116007491616204974774005980913­5560066761697620048479221189904530026582­759451_<166> × [1099999999..._<625>] × [1364586325..._<2481>] (9.89%)

10³⁴⁴⁶+1 = 1000000000..._<3447> = 101 × [9900990099..._<3444>] (0.06%)

10³⁴⁴⁷+1 = 1000000000..._<3448> = 7 × 11 × 13 × 19 × 4597 × 11491 × 52579 × 262739 × 1838401 × 4685623 × 3185570329_<10> × 1782520048534812718342476943_<28> × [6426249820..._<366>] × [4081846405..._<745>] × [5615645107..._<2265>] (2.08%)

10³⁴⁴⁸+1 = 1000000000..._<3449> = 17 × 5882353 × 215497151953_<12> × [4640432511..._<3429>] (0.56%)

10³⁴⁴⁹+1 = 1000000000..._<3450> = 11 × 6899 × 1427887 × [9228419543..._<3438>] (0.32%)

10³⁴⁵⁰+1 = 1000000000..._<3451> = 61 × 101 × 461 × 601 × 829 × 1289 × 1381 × 3541 × 9661 × 9901 × 27961 × 60101 × 131101 × 261301 × 509681 × 1569889 × 3903901 × 4188901 × 7019801 × 39526741 × 61092601 × 62056301 × 93744372901_<11> × 168290119201_<12> × 617347181401_<12> × 1970429073901_<13> × 4107757827661_<13> × 14103673319201_<14> × 18371524594609_<14> × 1680588011350901_<16> × 6193371433274461_<16> × 536430531035337769_<18> × 1432932516494710801_<19> × 8225357978845859081_<19> × 16637631264355748201_<20> × 25074091038628125301_<20> × 439120676164610394481_<21> × 757108543129939106221_<21> × 13711691889120319921601_<23> × 63691382029918881694921_<23> × 59483540558994759763795801_<26> × 316699822269639096888937801_<27> × 4181003300071669867932658901_<28> × 354969305477178480614478251861_<30> × 18769033515469256054311509073901_<32> × 38654658795718156456729958859629701_<35> × 114061789660900413328637822705950861_<36> × 53836677179343252802536411876638569921_<38> × 73137716939443396538710479664316724061_<38> × 1910846617679140068129270917199256656502­9_<41> × 8003478356240489976145411009441924710499­01_<42> × 1088692523027573678098234350084974616005­410140417841_<52> × 8706477230774434247302401224903949603507­73424147330153671641266669332491181_<75> × 2042423515489252518936332647739470679860­8831748829358027577255873270702116509311­3635856162801_<93> × [3354436479..._<327>] × [7462074404..._<408>] × [1359139466..._<849>] × [9900498997..._<880>] (28.62%)

10³⁴⁵¹+1 = 1000000000..._<3452> = 11 × 59 × 103 × 1973 × 4013 × 19489 × 776969 × 909091 × 243720583 × 1868879293_<10> × 21993833369_<11> × 40256406669887_<14> × 2184943628221853_<16> × 2563963356465898129_<19> × 865788741404845009303_<21> × 963447803278063011049_<21> × 5673320472670315859129_<22> × 154083204930662557781201849_<27> × 13569612563320403017443683179_<29> × 2844366024589741098287806157501475277_<37> × 1037466478304215512424864306226369010022­36971549990724717454338463_<66> × 6656280510176649041177006666533233898159­8238955516121768797834931727557023054104­07269034716016715927564139783_<109> × 3312754470..._<353> × [9435809567..._<2667>] (22.72%)

10³⁴⁵²+1 = 1000000000..._<3453> = 73 × 137 × 70696961 × 1973147228718944629429456254350106107174­641_<43> × [7167972580..._<3398>] (1.57%)

10³⁴⁵³+1 = 1000000000..._<3454> = 7 × 11 × 13 × 9209 × 1866608929_<10> × 8301750943_<10> × 1857763487903210808064579_<25> × [1189118516..._<1137>] × [3168946050..._<2267>] (1.46%)

10³⁴⁵⁴+1 = 1000000000..._<3455> = 89 × 101 × 1052788969_<10> × 1056689261_<10> × 28415783195151364586816438858689_<32> × 2664884554302831063314120789558894150113­73032402631355734921_<60> × 1307496683..._<222> × [1009999999..._<3121>] (9.67%)

10³⁴⁵⁵+1 = 1000000000..._<3456> = 11 × 9091 × 2714249 × 7518222234631531_<16> × 21393892529359947893_<20> × 11007981173468439545767_<23> × 254760341917214780576491_<24> × 56522264083795692397618211_<26> × 9295316865073065542488428873601_<31> × 26578194229497643738821679856668807_<35> × [5350996532..._<608>] × [1093094253..._<2665>] (5.30%)

10³⁴⁵⁶+1 = 1000000000..._<3457> = 257 × 15361 × 434689 × 453377 × 859393 × 25597441 × 260241409 × 642422244097_<12> × 33649448872371457_<17> × 145778507161340929_<18> × 1420181495488594477989904308423718974315­8239327057547504266794004802647315794432­1_<81> × 5587118763375362122579477500901613134643­0842253464047463157158784732544216230781­165223702155223678309562822667655169_<116> × 3842503166656902349929043480466226550918­9764624919574336880482034091688791929134­4413313639306019588621594114125088660845­07001318401_<131> × [1501160221..._<753>] × [1556608615..._<2293>] (11.91%)

10³⁴⁵⁷+1 = 1000000000..._<3458> = 11 × 2545135764820884815023_<22> × [3571875896..._<3435>] (0.65%)

10³⁴⁵⁸+1 = 1000000000..._<3459> = 29 × 101 × 281 × 521 × 2129 × 20749 × 2074801 × 16204189 × 65321621 × 121499449 × 14691812549_<11> × 654721485601_<12> × 722817036322379041_<18> × 1369778187490592461_<19> × 1728095716605342484009_<22> × 1900381976777332243781_<22> × 294342151630080361329671206012541_<33> × 3845225778323318739662926792353902964405­172909187389_<52> × 3571618567996393297210217238290456648947­344377957590363519828421_<64> × 4319164138206177545460534768046354494614­10533962843828981966782964481_<69> × 4859378131018035310593858490137688922829­4686867750687975773965201485452900557996­1674235437261629373578579882107331026589­6384033181_<130> × [3431380773..._<400>] × 2172805006..._<2567> (88.45%)

10³⁴⁵⁹+1 = 1000000000..._<3460> = 7 × 11 × 13 × 90064674103_<11> × 2782159473611653_<16> × 3001997409483091_<16> × 643576595030341561_<18> × [3028286787..._<1137>] × [6814309640..._<2260>] (1.81%)

10³⁴⁶⁰+1 = 1000000000..._<3461> = 73 × 137 × 13841 × 1676321 × 1035840961_<10> × 5964848081_<10> × 37491245201_<11> × 181403385041_<12> × 80776359618184961_<17> × 16027237242460629967868641_<26> × [3301736653..._<661>] × [2399268352..._<2703>] (2.81%)

10³⁴⁶¹+1 = 1000000000..._<3462> = 11 × 8846317 × 34471561 × 37136531 × 37631376859_<11> × 31137025119973_<14> × [6851021146..._<3414>] (1.36%)

10³⁴⁶²+1 = 1000000000..._<3463> = 101 × 2309 × 9901 × 276961 × 1871789 × 34428262901_<11> × 44943028103329_<14> × 768793792950361_<15> × 272177565333718069_<18> × 306332673158836861_<18> × [7980627608..._<1097>] × [1055431671..._<2271>] (2.75%)

10³⁴⁶³+1 = 1000000000..._<3464> = 11 × 9890329 × 4207094420428533691_<19> × 471166863987333230747073973_<27> × [4637026493..._<3410>] (1.54%)

10³⁴⁶⁴+1 = 1000000000..._<3465> = 17 × 5882353 × 214602746417_<12> × [4659772564..._<3445>] (0.56%)

10³⁴⁶⁵+1 = 1000000000..._<3466> = 7² × 11² × 13 × 19 × 23 × 127 × 211 × 241 × 331 × 463 × 2161 × 2521 × 2689 × 3851 × 4093 × 5171 × 8317 × 8779 × 9091 × 14851 × 24179 × 29611 × 52579 × 101641 × 131041 × 459691 × 590437 × 648649 × 909091 × 1053361 × 3762091 × 4147571 × 5274739 × 7444361 × 25973641 × 170873011 × 599144041 × 4124507971_<10> × 4774111651_<10> × 7093127053_<10> × 20163494891_<11> × 29970369241_<11> × 183411838171_<12> × 525326613841_<12> × 8985695684401_<13> × 167940794674423_<15> × 1661378260814161_<16> × 265212793249617641_<18> × 4539402627853030477_<19> × 4924630160315726207887_<22> × 18276168846821336356291_<23> × 136094982876222218559943_<24> × 318727841165674579776721_<24> × 17188981502127912986105521_<26> × 19835636682880495867311241_<26> × 189772422673235585874485732659_<30> × 1275784731048123659634702312820051_<34> × 1992239470584165788605948879953926371_<37> × 1051543809110704722613632495009411089889­481_<43> × 1112314101311286003379752617807870409611­285281_<46> × 3815465557445576556927066195758955772398­238343771_<49> × 1411225248778861822822335393177961449383­05111168717_<51> × 4512103729930413243964733865733316041820­9369019158095278577428897515955419107089­71709035851_<91> × 8039566261499250311127571481921649700572­0848358970463128898412464716963453686123­6854805849361_<93> × 3443418448467037868174732779131913880029­5165383633122627606920790402425397436033­1148938523782918481623963597196523579507­803885921997278081_<138> × [2589866579..._<229>] × [4603184964..._<304>] × 1081148355..._<476> × [1158014844..._<1400>] (44.27%)

10³⁴⁶⁶+1 = 1000000000..._<3467> = 101 × 103981 × 346601 × [2747228764..._<3454>] (0.36%)

10³⁴⁶⁷+1 = 1000000000..._<3468> = 11 × 15338009 × 4933638077_<10> × 11905205919413_<14> × [1009099817..._<3437>] (0.89%)

10³⁴⁶⁸+1 = 1000000000..._<3469> = 73 × 137 × 2857 × 13266937 × 99990001 × 152533657 × 3078437249_<10> × 183116258609_<12> × 1119527384827710553_<19> × 295408742516206507753_<21> × 53043011765949537815976769_<26> × 288903890273932269026126209_<27> × 6555274617188258326423007086888436687780­3237222654400793_<56> × 4443238479422134375589744174203253108661­5578692097502509412995439256236377_<74> × [6140297287..._<1041>] × [3385140167..._<2156>] (7.83%)

10³⁴⁶⁹+1 = 1000000000..._<3470> = 11 × 1501508006697088459_<19> × [6054519223..._<3450>] (0.55%)

10³⁴⁷⁰+1 = 1000000000..._<3471> = 101 × 3541 × 15269 × 27961 × 131861 × 10854161 × 67896775181_<11> × 321993545021008061_<18> × 12751230513489757736401_<23> × [6484373632..._<688>] × [3805833607..._<1344>] × [6651361353..._<1362>] (2.21%)

10³⁴⁷¹+1 = 1000000000..._<3472> = 7 × 11 × 13² × 157 × 179 × 859 × 6397 × 216451 × 3154339 × 1058313049_<10> × 388847808493_<12> × 1669902133303_<13> × 118941438655807_<15> × 12147237304901893_<17> × 13378213694776381948129147625293_<32> × 1054927415257693631440903203309586374903­030044747807503_<55> × 4180967272673252032291190917188955510245­874180001164839931077197586653_<70> × 2776479530942631295577918007584370623570­9171757029321957798614580159547773980221­2252078988231259971169_<102> × [8222323436..._<1025>] × [5449421147..._<2100>] (9.98%)

10³⁴⁷²+1 = 1000000000..._<3473> = 353 × 449 × 641 × 673 × 1409 × 69857 × 1055489 × 1353089 × 10935809 × 43735845217_<11> × 217860610452031121598489279950204653537_<39> × 1356168836676055305706524750288176095805­6321_<44> × 1559440092962140541006269160037944071573­04353_<45> × [4983207363..._<424>] × [9474281588..._<2874>] (5.02%)

10³⁴⁷³+1 = 1000000000..._<3474> = 11 × 47 × 139 × 2531 × 82518481 × 181288487 × 417906091 × 7114280743_<10> × 153653579173_<12> × 549797184491917_<15> × 4231490774377007_<16> × 12331942624071394811_<20> × 2646756758131654397378192081701748003041­997_<43> × 9998823061783773451618898466551985927663­47086896770989636138585751423_<69> × [1059591245..._<3259>] (6.19%)

10³⁴⁷⁴+1 = 1000000000..._<3475> = 101 × 6949 × 9901 × 1500769 × 999999000001_<12> × 3516493057568485255839901_<25> × 16041626127830486357454781_<26> × 121281361155185115284360748638810161_<36> × 1439921227944130405196041866693950149_<37> × [6876063708..._<348>] × [1476279953..._<684>] × [9588800263..._<2294>] (4.29%)

10³⁴⁷⁵+1 = 1000000000..._<3476> = 11 × 251 × 557 × 2503 × 5051 × 9091 × 66721 × 143046199651_<12> × 19127321458801_<14> × 78875943472201_<14> × 167384409698972659288993463294401_<33> × 6520655709313341698465187621108953571040­3595333062378353092332941289776570384185­9492780362601926814638167836591846272150­911969126521_<132> × [1648639858..._<548>] × [2183528459..._<2704>] (6.46%)

10³⁴⁷⁶+1 = 1000000000..._<3477> = 73 × 137 × 617 × 27809 × 166849 × 259121 × 73921249 × 2426630541212597809_<19> × 16205834846012967584927082656402106953_<38> × 5220170227..._<299> × [8882409429..._<3092>] (11.05%)

10³⁴⁷⁷+1 = 1000000000..._<3478> = 7 × 11 × 13 × 367 × 81131 × 1458973 × 51745081 × 49322037757_<11> × 40498340376691_<14> × 909090909090909091_<18> × 3072785410997717953940247877_<28> × 753201806271328462547977919407_<30> × 4293674404051268505730897152041702807799­0465463_<47> × 3327799391606549896523481221243658725565­6671587921_<50> × 1120522253011683685532152825789043757514­5023592596037161_<56> × [3579813924..._<1053>] × [1845017037..._<2150>] (7.91%)

10³⁴⁷⁸+1 = 1000000000..._<3479> = 101 × 149 × 3109 × 45121 × 111149 × 708840373781_<12> × 6632901868961_<13> × 669031686661427842829_<21> × 120211879995257326922509_<24> × 27269495703120268132171961_<26> × 40548140514062774758071840361_<29> × 2144906157509411684424913774078958939881_<40> × 1023037643093214557651333120422980213172­396059301_<49> × [4645081153..._<3251>] (6.54%)

10³⁴⁷⁹+1 = 1000000000..._<3480> = 11 × 197 × 290249 × 909091 × 6485802289_<10> × 36498567794777234063_<20> × 79477820796939573294671427379_<29> × 5076141624365532994918781726395939035533_<40> × 2572061042263969601315274902532495916809­19459_<45> × 3132106946418106835541520932340538954170­6979493156189716729115659_<65> × [4276725442..._<376>] × [5315138234..._<2882>] (6.37%)

10³⁴⁸⁰+1 = 1000000000..._<3481> = 17 × 929 × 5569 × 23201 × 182353 × 4465073 × 5070721 × 5559649 × 5882353 × 1132716961_<10> × 9999999900000001_<16> × 19721061166646717498359681_<26> × 281259985248437790051014401_<27> × 31388506438433752927908678241_<29> × 1082543099557365534991190570308833946497­7_<41> × 3114824318784041623490389014199610366824­348609_<46> × 4948797624251336428769758769452316283490­536687091682910619153_<61> × 3696603330750000688567094922124549915574­4897643777997943492126583399578160290634­4537626232976067313_<99> × [2983528676..._<398>] × [1000000009..._<897>] × [9999999900..._<1792>] (11.34%)

10³⁴⁸¹+1 = 1000000000..._<3482> = 11 × 1889 × 20887 × 62659 × 178149538891_<12> × 1090805842068098677837_<22> × 37152018296153175601063_<23> × 4411922770996074109644535362851087_<34> × [1154445297..._<3380>] (2.93%)

10³⁴⁸²+1 = 1000000000..._<3483> = 101 × 487481 × 34994101 × 66876455381090640401_<20> × [8678663417..._<3447>] (1.01%)

10³⁴⁸³+1 = 1000000000..._<3484> = 7 × 11 × 13 × 19 × 1459 × 6967 × 13933 × 52579 × 1708219 × 2368441 × 10455967 × 57009401 × 70541929 × 2182600451_<10> × 2458921051_<10> × 14175966169_<11> × 41130156794062447_<17> × 456502382570032651_<18> × 135564781262309171263_<21> × 610600386089858349939139_<24> × 7306116556571817748755241_<25> × 3047680368470744910648946080146958676329­97_<42> × 3605696680890791382725432167911038465896­663_<43> × 3503742361099708662209606335321225392619­5272207441939622830330161546317292588303_<80> × 3888962863856960110488574591030581052130­9841050950415367273378889527486268283796­0292927601154279397218087934885439100106­56122551369920766848757_<143> × [1000000000..._<757>] × [3208485671..._<2234>] (14.17%)

10³⁴⁸⁴+1 = 1000000000..._<3485> = 73 × 137 × 1580801 × 9239568001_<10> × 27316505681_<11> × 179093946929_<12> × 895514891418016481_<18> × 266451574608556083851467169_<27> × 6325274402021507450906224122454439230492­01_<42> × 1885596633278764718883633156859928453117­74522520360566601659121_<63> × 1083931224855529288843363709480842047163­1769022740820189046352816521272769520589­2706957878856003556674951264580888994601­3865548858442895580378678360552528197692­322041991044570589569_<181> × [4536288404..._<3114>] (10.63%)

10³⁴⁸⁵+1 = 1000000000..._<3486> = 11 × 103 × 4013 × 6971 × 9091 × 87211 × 787223761 × 21993833369_<11> × 166147624704857171_<18> × 184952466900411703_<18> × 2670502781396266997_<19> × 3404193829806058997303_<22> × 436026711667335044426416921_<27> × 165525666279467793827703089744624213_<36> × 1602207948210144520667419183035809176643­86555934641_<51> × 2522755993328297304992975667536987368752­4422119109873612963516263168625757367193­4071328913935425167793515435649973267232­99457284056291_<134> × [3593082690..._<588>] × [7849146556..._<2539>] (10.29%)

10³⁴⁸⁶+1 = 1000000000..._<3487> = 29 × 101 × 281 × 9901 × 226549 × 121499449 × 13870856749_<11> × 312216339121_<12> × 1033593699289_<13> × 4458192223320340849_<19> × 3130255357115878577477978101_<28> × 2302396795526516076776837687352113616978­6061_<44> × 4300297028838474156015268798064619519844­2861652725689411586949534183336343885152­2239838194937434654367240751665935313744­1_<121> × 9771721622..._<316> × [7281453613..._<974>] × [1013079823..._<1930>] (16.73%)

10³⁴⁸⁷+1 = 1000000000..._<3488> = 11² × 23 × 4093 × 8779 × 3536453 × 12361733 × 6800924006749893155464305961168971417625­3_<41> × 2746156096440139229939952462329743908413­73964547585372623_<57> × 1113440267..._<206> × [1099999999..._<3161>] (9.38%)

10³⁴⁸⁸+1 = 1000000000..._<3489> = 6977 × 19841 × 976193 × 6187457 × 678904321 × 29240059969409_<14> × 834427406578561_<15> × 17350219800686247054785857_<26> × [4161400013..._<3405>] (2.39%)

10³⁴⁸⁹+1 = 1000000000..._<3490> = 7 × 11 × 13 × 908305432997_<12> × 34649350411801_<14> × 197880946702887449_<18> × 6725761392658111304398921266899_<31> × [2170375460..._<1089>] × [1098901098..._<2325>] (2.20%)

10³⁴⁹⁰+1 = 1000000000..._<3491> = 101 × 3541 × 18149 × 27961 × 125641 × 376921 × 1081901 × 54104497406801_<14> × 10055814629359462347481_<23> × [1008306480..._<679>] × [3287324067..._<1364>] × [5963378211..._<1382>] (1.91%)

10³⁴⁹¹+1 = 1000000000..._<3492> = 11 × 6983 × 1481009164760539230887822201_<28> × [8790377513..._<3459>] (0.92%)

10³⁴⁹²+1 = 1000000000..._<3493> = 73 × 137 × 3169 × 98641 × 4141513 × 99990001 × 781809765337_<12> × 3199044596370769_<16> × 8988960626907390108290157843627796598388­3967076039535258233_<59> × 1112364433..._<326> × [1000099999..._<769>] × [3088445061..._<2286>] (12.56%)

10³⁴⁹³+1 = 1000000000..._<3494> = 11 × 1997 × 909091 × 2389213 × 8334299 × 92760841531_<11> × 10595774496973_<14> × 246557616593933_<15> × 1761645225880931_<16> × 305459619551875293289_<21> × 90423008276017153733438983_<26> × 7557915174825502448983768447_<28> × [2697112988..._<441>] × 1046236272..._<2902> (87.39%)

10³⁴⁹⁴+1 = 1000000000..._<3495> = 101 × [9900990099..._<3492>] (0.06%)

10³⁴⁹⁵+1 = 1000000000..._<3496> = 7 × 11 × 13 × 211 × 241 × 2161 × 9091 × 552677 × 1309927 × 7351777862771_<13> × 13735253988715302521_<20> × 131293689927974865167_<21> × 22469589434122685267859016351677839053_<38> × 1104211639510104471092325504815084487468­17791459_<48> × 1134592082241812086025433183314893126820­7872250962261786909131335180907668227111­7469696149897954452324260422892067519437­0887660714303521711888923919224666398211_<160> × [3733501901..._<421>] × 1089329516..._<897> × [9100090999..._<1856>] (34.86%)

10³⁴⁹⁶+1 = 1000000000..._<3497> = 17 × 134369 × 5882353 × 31735795756961_<14> × 1205530548914055885457278225432810661628­03459003848166118314367809_<66> × 8295102856587101112151219663083514451877­4133555852877567503980614227065994320281­8322753067885238020768017585089_<111> × 2345046820394523854722286018373912171012­6330850830571913874990515654086653442723­8711769806579683320997636600725852987602­204289_<126> × [1000000009..._<3169>] (9.38%)

10³⁴⁹⁷+1 = 1000000000..._<3498> = 11 × 859 × 269539 × 699401 × 2582401 × 1058313049_<10> × 45860405002639100908494191393527373_<35> × 1306056668..._<257> × [3429482179..._<3176>] (9.19%)

10³⁴⁹⁸+1 = 1000000000..._<3499> = 89 × 101 × 1061 × 3181 × 9901 × 34981 × 125929 × 5051749 × 1052788969_<10> × 1056689261_<10> × 5419170769_<10> × 64695344429_<11> × 133200830691589_<15> × 789390798020221_<15> × 2361000305507449_<16> × 16238579240111082928921_<23> × 1650244260647104976802437090486126821_<37> × 187992901187185185404878781157273270049_<39> × 245391150214875249502685807421982149521_<39> × 7527704835280872962667987585290144803454­0173569840168229_<56> × 1527859027945444456313697979780522416343­9540874769878797096077750173420678283300­3354137477138175037922165880989097169448­1902290134585191797407382076610594628578­4669_<164> × [6234476051..._<977>] × [1743005715..._<2054>] (13.38%)

10³⁴⁹⁹+1 = 1000000000..._<3500> = 11 × 13997 × 9440303 × 50839995170094676939_<20> × 22331036502147525743964433841983_<32> × [6059991797..._<3436>] (1.81%)

10³⁵⁰⁰+1 = 1000000000..._<3501> = 73 × 137 × 401 × 1201 × 1601 × 2801 × 7841 × 24001 × 33601 × 322001 × 851761 × 1378001 × 1676321 × 28014001 × 1599581201_<10> × 5496338401_<10> × 5964848081_<10> × 507893248801_<12> × 179824257430154401_<18> × 86311821371325102001_<20> × 127522001020150503761_<21> × 1296944190290577505513857711845642744990­75700947656757821537291527196801_<72> × 1174155661036370531158387153086358732085­7611583542802499879661077461752756934163­45665039841_<91> × 3023577677..._<390> × 1323226585..._<425> × [1284391309..._<2368>] (32.37%)