10⁵⁵⁰¹+1 = 1000000000..._<5502> = 11 × 1114117531_<10> × [8159739738..._<5491>] (0.18%)

10⁵⁵⁰²+1 = 1000000000..._<5503> = 29 × 101 × 281 × 1049 × 9901 × 14149 × 116329 × 226549 × 480509 × 33887081 × 45401981 × 121499449 × 67447642501_<11> × 3209830398769_<13> × 322185369274849_<15> × 11413071252347269_<17> × 4458192223320340849_<19> × 17580697602497791547801_<23> × 11341871655781402296381941_<26> × 1345744499..._<224> × [8682263150..._<515>] × [1054141751..._<1508>] × [4007076851..._<3081>] (7.26%)

10⁵⁵⁰³+1 = 1000000000..._<5504> = 11 × 8333996339_<10> × [1090822304..._<5493>] (0.20%)

10⁵⁵⁰⁴+1 = 1000000000..._<5505> = 257 × 15361 × 453377 × 12143516656129_<14> × 84728948105772731491595680513_<29> × 5587118763375362122579477500901613134643­0842253464047463157158784732544216230781­165223702155223678309562822667655169_<116> × [9719047673..._<5334>] (3.09%)

10⁵⁵⁰⁵+1 = 1000000000..._<5506> = 7 × 11 × 13 × 211 × 241 × 2161 × 6607 × 9091 × 987808347961_<12> × 104547579372161_<15> × 265736338899571_<15> × 1545019424291668933544176891237_<31> × 6337012003051224701798337646203298967_<37> × 1434573437..._<330> × [1076515672..._<699>] × [1065127673..._<1439>] × [3424481212..._<2914>] (8.27%)

10⁵⁵⁰⁶+1 = 1000000000..._<5507> = 101 × 55061 × 4887745307544947304079311841_<28> × [3678967608..._<5472>] (0.63%)

10⁵⁵⁰⁷+1 = 1000000000..._<5508> = 11 × 165211 × [5502605208..._<5501>] (0.11%)

10⁵⁵⁰⁸+1 = 1000000000..._<5509> = 73 × 137 × 2857 × 3169 × 3673 × 98641 × 161569 × 1410049 × 1813969 × 13266937 × 68562937 × 87140233 × 99990001 × 152533657 × 282803977 × 322941468457_<12> × 3199044596370769_<16> × 1119527384827710553_<19> × 3777811937749537921_<19> × 629674149824204775337_<21> × 53043011765949537815976769_<26> × 197487625640022530230424689_<27> × 1109026080822830514639500391019201_<34> × 1726290008991504500177463302688697_<34> × 463598175534834009393169489731150289_<36> × 579276943498154282123686999881829009033_<39> × 4359992252543206482185083495172767980765­7_<41> × 6555274617188258326423007086888436687780­3237222654400793_<56> × 4443238479422134375589744174203253108661­5578692097502509412995439256236377_<74> × 3345221423650844757330057887630696655974­2891484387246195383469010412091448793471­5334187622132844561179868971005307865589­6960934716754311764809081946966357559506­57968289_<168> × [4739518954..._<331>] × [1130813692..._<1062>] × [6394756846..._<3417>] (12.70%)

10⁵⁵⁰⁹+1 = 1000000000..._<5510> = 11 × 909091 × 2534536649_<10> × 2814437921_<10> × 940239087358790493296969_<24> × [9668720661..._<762>] × [1542063978..._<4698>] (0.90%)

10⁵⁵¹⁰+1 = 1000000000..._<5511> = 101 × 349 × 761 × 1901 × 3041 × 3541 × 27961 × 38861 × 74861 × 562021 × 618049 × 6325481 × 417332341 × 389781675761_<12> × 1343393871401_<13> × 722817036322379041_<18> × 883411786228621361_<18> × 1369778187490592461_<19> × 1767955366388381478541_<22> × 404068958465044486205477141_<27> × 780548018657747948342675331841_<30> × 14087942679857610940613213182901_<32> × 4581921817207406357730186303139529968338­01_<42> × 1181180637520183640867963573625866958318­7541_<44> × 2054722677878217012053943008368973039472­7567536361_<50> × 2004594328563924403139229874961691116225­4803611180129676814249196577825262970771­61_<82> × 2022907403453455435045739409943184658625­1136936003634971287976573977944682716320­34457525101_<91> × [7518271606..._<996>] × [9919898966..._<1971>] × [2017832824..._<1993>] (10.00%)

10⁵⁵¹¹+1 = 1000000000..._<5512> = 7 × 11² × 13 × 23 × 4093 × 8779 × 18371 × 84503 × 143287 × 165331 × 3097183 × 15849637 × 63716179 × 76272241 × 79402489 × 599144041 × 1657278943_<10> × 107154371983_<12> × 183411838171_<12> × 116011189311149998139_<21> × 272828068791212993437_<21> × 562460722085835631233826201_<27> × 4551304599799744355996136613_<28> × 3373655510986818739235196204547769790250­8313099_<47> × 3991682749552894902673962957124418797917­278009299_<49> × 3015252949189504320875202981299415587115­51656822567015411_<57> × 1495012804425531262945788741160430069296­6728690551568705030373_<62> × 1673231604783581202191614925998671476588­0504506685421534879636783942469103682008­1117874949263758935227680048722737445473­4584105258179583258226198219279441096528­046762469147380935906915618783308520809_<199> × [7919176178..._<1592>] × [1240262015..._<3304>] (11.18%)

10⁵⁵¹²+1 = 1000000000..._<5513> = 17 × 1249 × 30529 × 33073 × 49297 × 300977 × 648961 × 5882353 × 27249519156823169_<17> × 74432398759992001_<17> × 3598147325458648817_<19> × 105801292309560102097_<21> × 249227787818677482257_<21> × 580990873401954378689_<21> × 332579999513366769784850650577_<30> × 3336327664384090112747059870264076396700­42305536743429073_<57> × [3157611242..._<357>] × [2102320666..._<4921>] (4.27%)

10⁵⁵¹³+1 = 1000000000..._<5514> = 11 × 2087 × 7253 × 422650073734453_<15> × 428557540398853_<15> × 296557347313446299_<18> × 9615683031450065714899_<22> × 1654596091767978658661343653297922706352­07840943_<48> × 2737869430252705432917439814481839640694­075521336313521691938014929169431049_<76> × [2566749844..._<5314>] (3.62%)

10⁵⁵¹⁴+1 = 1000000000..._<5515> = 101 × 9901 × 36761 × 556183878908641_<15> × 361808115882507241_<18> × 805443458882251297469_<21> × [9242254981..._<1793>] × [1815944381..._<3658>] (1.16%)

10⁵⁵¹⁵+1 = 1000000000..._<5516> = 11 × 2207 × 9091 × 33091 × 5905463 × 61547401 × 131951891 × 3332284331_<10> × 10028520121_<11> × 4487711457583_<13> × 1821531343431200881_<19> × 2476821800925673188240131_<25> × 28335885146165932870615739992009_<32> × 5268454850496058972443311321974771_<34> × [3137323591..._<1000>] × [9009268786..._<4340>] (3.18%)

10⁵⁵¹⁶+1 = 1000000000..._<5517> = 73 × 137 × 7841 × 1003913 × 3746153 × 81758153 × 12889706849_<11> × 1266199822948873_<16> × 28898660515207729_<17> × 871457892732101809_<18> × 127522001020150503761_<21> × 6715096897239253315913_<22> × 4733344496763640974691920410617_<31> × 2070751676..._<768> × [1202180032..._<4589>] (16.82%)

10⁵⁵¹⁷+1 = 1000000000..._<5518> = 7 × 11 × 13 × 19 × 52579 × 467955945343_<12> × 5745383905699_<13> × 26275272880081_<14> × 1688298794700739422901790771_<28> × 2397103947161858599012200785150611_<34> × [5384656507..._<585>] × 1744715042..._<1178> × 3723145890..._<3648> (89.40%)

10⁵⁵¹⁸+1 = 1000000000..._<5519> = 101 × 38449 × 138841 × 2049349 × 1776246472521924066289_<22> × 304536125589430734031161881_<27> × 294573797733621430922028523081_<30> × 4831285495545122373055545883590398223973­07149685578249_<54> × 1854709277039466195504689386640395344414­1877738854819606028843831344546174591125­3465484730154523123384560237055546861306­6960424330102181268271626236526315595661­8360389_<167> × [6338481298..._<5203>] (5.71%)

10⁵⁵¹⁹+1 = 1000000000..._<5520> = 11 × 1291447 × 3090641 × 19149142081796490721_<20> × 1103616225571735196131_<22> × [1077741898..._<5466>] (0.98%)

10⁵⁵²⁰+1 = 1000000000..._<5521> = 97 × 353 × 449 × 641 × 1409 × 69857 × 153089 × 177601 × 206209 × 1634881 × 18453761 × 19708609 × 5200544353_<10> × 66554101249_<11> × 947147262401_<12> × 75118313082913_<14> × 1212583042768961_<16> × 2128553705161057_<16> × 107297848804097377_<18> × 6948893538623053441_<19> × 46451397473733792276481_<23> × 9006198100013090328398440321_<28> × 20847280586087471498290675201_<29> × 220080633974998351355221429249_<30> × 97565608404582159922911901685441_<32> × 273936751955640120264911619220481281_<36> × 349954396040122577928041596214187605761_<39> × 1078965221395139207527306436384019097245­13_<42> × 1786971871341978412769793172635403245447­905376001_<49> × 3150916372611608799973465944081684225163­85623286349240690538356681453806401_<75> × 6054085745..._<306> × [1941054663..._<626>] × [8452627926..._<1361>] × [6023436670..._<2683>] (15.42%)

10⁵⁵²¹+1 = 1000000000..._<5522> = 11 × 287093 × 7304642666595561291625476044543_<31> × [4334966400..._<5484>] (0.68%)

10⁵⁵²²+1 = 1000000000..._<5523> = 89 × 101 × 35141 × 162649 × 117412781 × 877561261 × 1052788969_<10> × 1056689261_<10> × 1200538021_<10> × 7787188843931699008561_<22> × 56079282747853833253154381_<26> × 2158935103..._<452> × [1500178733..._<4966>] (10.08%)

10⁵⁵²³+1 = 1000000000..._<5524> = 7² × 11 × 13 × 127 × 1579 × 2689 × 11047 × 22093 × 169373 × 459691 × 727459 × 909091 × 13982659 × 3471745395343_<13> × 935875736987641_<15> × 1546181689184329424903417743_<28> × 1221836164173949226042017629809_<31> × 9713799312..._<247> × [6841923120..._<508>] × [6929995070..._<1520>] × [5327660670..._<3113>] (6.93%)

10⁵⁵²⁴+1 = 1000000000..._<5525> = 73 × 137 × 519257 × [1925636072..._<5515>] (0.18%)

10⁵⁵²⁵+1 = 1000000000..._<5526> = 11 × 103 × 131 × 251 × 859 × 4013 × 5051 × 9091 × 87211 × 107251 × 2254201 × 4271801 × 14446771 × 23514401 × 750383401 × 787223761 × 1058313049_<10> × 21993833369_<11> × 82009322851_<11> × 78875943472201_<14> × 344954191876997_<15> × 6917979239326637_<16> × 1414106042248809001_<19> × 318942474614140390001_<21> × 70919383630417672662131_<23> × 9953631233101452907803678601_<28> × 165564988462016408581266824201_<30> × 201069283252703294533187911388251_<33> × 7361052078817743869270378433314666806845­1_<41> × 2016492306990976282439501774196098215666­169_<43> × 8396862596258693901610602298557167100076­327481_<46> × 1602207948210144520667419183035809176643­86555934641_<51> × 5155980583494268934255123245395069977106­0820328070035168090472947360446489351242­6851_<84> × 3223223954501479327423165941405274903133­0269145707941726306320382914993613593752­90791990253041841_<97> × 1618471741300957926037194539868177094144­6381711386794528198581933829095273175764­3195331250705338664714884091786251_<114> × 1810329304..._<212> × [6292755661..._<761>] × [4026382165..._<3778>] (17.86%)

10⁵⁵²⁶+1 = 1000000000..._<5527> = 101 × 1229 × 9901 × 128941 × 8441425501_<10> × 29376149689_<11> × 434655863209_<12> × 999999000001_<12> × 467043606144413071608209_<24> × [2043400618..._<576>] × [2666459753..._<1209>] × [2300672979..._<3661>] (1.48%)

10⁵⁵²⁷+1 = 1000000000..._<5528> = 11 × 1746533 × 11904289208520748651_<20> × [4372472127..._<5501>] (0.48%)

10⁵⁵²⁸+1 = 1000000000..._<5529> = 17 × 11057 × 5505889 × 5882353 × 940611313 × 2381729289617500769_<19> × 139227014073865876657_<21> × [5266342859..._<5462>] (1.20%)

10⁵⁵²⁹+1 = 1000000000..._<5530> = 7 × 11 × 13 × 11059 × 1458973 × 88464001 × 814903342249_<12> × 909090909090909091_<18> × 1530685332944652546877_<22> × 102527361354613106010527_<24> × 753201806271328462547977919407_<30> × 323338434891034089173475790125293_<33> × 2742269936605462168329562307947106658888­1_<41> × 1209932983651298761631732103023280632931­43_<42> × 9082330292251962304688193151167683450110­1361795433685463732751578239819170875604­9259224485047609714729365430665450971254­1945987920778472370936173919077_<151> × [8123443923..._<1699>] × [1009762958..._<3441>] (7.06%)

10⁵⁵³⁰+1 = 1000000000..._<5531> = 29 × 101 × 281 × 421 × 3541 × 5689 × 27961 × 102701 × 951161 × 1260841 × 3471301 × 13489841 × 121499449 × 257618369 × 60368344121_<11> × 866000393505661_<15> × 9918478257230341_<16> × 99834305852659737721_<20> × 848654483879497562821_<21> × 1793173363686071609122021_<25> × 9881484126026806397682037921_<28> × 14671834360812557354682189761_<29> × 507998564486483655774880939989709_<33> × 6463019629164534923253835672539917600836­17720844121_<51> × 5300840448377912032674189587344789058928­62260111193658629289735929681_<69> × 3529967022..._<259> × 1924817940..._<285> × [3920527887..._<928>] × [1502907556..._<1822>] × [3566535791..._<1856>] (16.74%)

10⁵⁵³¹+1 = 1000000000..._<5532> = 11 × 165931 × 2699129 × 389747711489_<12> × 81868129889761133_<17> × 2545625160453915281985967_<25> × [2498982670..._<5466>] (1.19%)

10⁵⁵³²+1 = 1000000000..._<5533> = 73 × 137 × 110641 × 143833 × 99990001 × 85501961353_<11> × 9125072483779648050066911421569_<31> × [1095772128..._<1810>] × [7350091046..._<3659>] (1.16%)

10⁵⁵³³+1 = 1000000000..._<5534> = 11² × 23 × 4093 × 8779 × 121727 × 34136748101237_<14> × [9090909090..._<502>] × [2647180889..._<5002>] (0.54%)

10⁵⁵³⁴+1 = 1000000000..._<5535> = 101 × 11069 × [8944791850..._<5528>] (0.11%)

10⁵⁵³⁵+1 = 1000000000..._<5536> = 7 × 11 × 13 × 19 × 211 × 241 × 739 × 2161 × 3691 × 6481 × 9091 × 29611 × 52579 × 148339 × 3762091 × 16344241 × 16419517 × 70541929 × 270628291 × 1379543401_<10> × 2675135611_<10> × 14175966169_<11> × 62143039081_<11> × 577603663291_<12> × 5317679142481_<13> × 8985695684401_<13> × 13313686526011_<14> × 31023833790241_<14> × 2670502781396266997_<19> × 3404193829806058997303_<22> × 347573113913683021093137361_<27> × 436026711667335044426416921_<27> × 8610583349234340055547908764091017276717­091_<43> × 1102678522581138741425727962459101300689­046291_<46> × 1109649393276867840472199951726880949173­205522051_<49> × 1843455308146833369419577117401177102515­401880306453871619994561_<64> × 6105179603552296927117127487655417850454­4683763248923853725596423_<65> × 2522755993328297304992975667536987368752­4422119109873612963516263168625757367193­4071328913935425167793515435649973267232­99457284056291_<134> × 1257614379020165056772347240819559956723­1572995613590701680970702041170548930281­0599648062430084467242774758397202086029­812476912145657137081_<141> × 1000999998..._<241> × [1000000000..._<721>] × [1298623118..._<901>] × [2678498678..._<2863>] (19.01%)

10⁵⁵³⁶+1 = 1000000000..._<5537> = 19841 × 976193 × 6187457 × 834427406578561_<15> × 8615209493649126646398209_<25> × 177948030920670273939036289_<27> × [6522903757..._<5453>] (1.50%)

10⁵⁵³⁷+1 = 1000000000..._<5538> = 11 × 197 × 1583 × 4973 × 909091 × 1211813 × 4426889 × 35835054263_<11> × 27232839211397_<14> × 559506302377160805703_<21> × 868152906514497864499_<21> × 98486006552146096676731_<23> × 835923017568339901219132877_<27> × 5076141624365532994918781726395939035533_<40> × 4129431088139783859996416179822426674855­1911970994071194269355370951724011428162­9255685010553886849303_<102> × [1275643547..._<569>] × [1151870934..._<4684>] (5.16%)

10⁵⁵³⁸+1 = 1000000000..._<5539> = 101 × 521 × 569 × 3121 × 7669 × 9901 × 16189 × 55381 × 664561 × 53397071018461_<14> × 380623849488714809_<18> × 9234177915412657069_<19> × 202142771579539385401_<21> × 1900381976777332243781_<22> × 6060517860310398033985611921721_<31> × 7716926518833508778689508504941_<31> × 93611382287513950329431625811490669_<35> × 8251988265906196670876248348671944663928­8430446081_<50> × 7911455680788561378724080966363146223318­69565265096415358925771275309_<69> × 8434076448895884090154730247588666652981­1813895692926355428938263402850925593545­7469_<84> × 1012531972525467393916969609297706772253­4551717272179349844665391141452436679933­3412935173798585607285941_<105> × [1009999999..._<1681>] × [1330838021..._<3330>] (9.55%)

10⁵⁵³⁹+1 = 1000000000..._<5540> = 11 × 59 × 383 × 679961 × 4041943 × 9405223 × 809070653 × 955059211 × 78087485383_<11> × 154083204930662557781201849_<27> × 3370796736173938091727422330529475982098­304687381174810841794785884893349397_<76> × 3435500786829010526015101442384645669200­8580727031775135173625397961285416300659_<80> × [1445563385..._<5305>] (4.24%)

10⁵⁵⁴⁰+1 = 1000000000..._<5541> = 73 × 137 × 172849 × 1676321 × 5964848081_<10> × 6910861921_<10> × 8317645201_<10> × [6954874703..._<1089>] × [1447142210..._<4407>] (0.81%)

10⁵⁵⁴¹+1 = 1000000000..._<5542> = 7 × 11 × 13 × [9090909090..._<1846>] × [1098901098..._<3693>] (0.05%)

10⁵⁵⁴²+1 = 1000000000..._<5543> = 101 × 28559389 × 1491383821_<10> × 280294375549_<12> × 498698470009_<12> × 350444236942661_<15> × 2324557465671829_<16> × 49752549018541831148941_<23> × 76232914055207003005318654163381_<32> × 2604342325..._<281> × [2066677598..._<5136>] (7.34%)

10⁵⁵⁴³+1 = 1000000000..._<5544> = 11 × 47 × 139 × 2531 × 11087 × 140263 × 549797184491917_<15> × 166118970220264489_<18> × 2065548882433064749302848511798666276437_<40> × 1073432861671296843309316906103494760197­6065423298090207036703_<62> × 1587159415466708493113910200241893331490­8143281174256911370046090374195646715126­9742335031378183866433849119125209_<114> × [1099999999..._<5281>] (4.74%)

10⁵⁵⁴⁴+1 = 1000000000..._<5545> = 17 × 113 × 337 × 3697 × 8929 × 5882353 × 10100113 × 30357713 × 249357075126193_<15> × 9999999900000001_<16> × 73765755896403138401_<20> × 470067687182125061569_<21> × 21109292566272870554290081_<26> × 75675153541982860202858401_<26> × 119968369144846370226083377_<27> × 11786300284844910479546815969_<29> × 69107936491313674237030826849_<29> × 1055221449703249740632024440753_<31> × 2070270028985341766616009080161_<31> × 1114737869182936469693737960974486017089_<40> × 1119946242580356142905139433307201254339­79169_<45> × 1433319827159466789806966856379479179916­136529424792832495021393_<64> × 1182479250391477638386549290101910067046­0517256833712771719617457_<65> × 9900879227786858424257223656804730798555­422102713108259184822982673560177_<73> × 1121164122863056567916507341571734921130­1068854209340842417386559363002502053200­017505737086336239008966529_<107> × 7586364693314701559182826840192398626198­6397730196168081539267851470929961346053­3606458533588747771269201779588838754037­5033677584427170052476698256022115031025­6906229475838502330430737_<185> × [1289298797..._<441>] × [4010313320..._<466>] × [9550416403..._<884>] × [9999999999..._<2880>] (15.77%)

10⁵⁵⁴⁵+1 = 1000000000..._<5546> = 11 × 9091 × 321611 × 2710397 × 8384041 × 24668597 × 8383997381131_<13> × 1155684046807362015336647_<25> × 9954230558417136451715329_<25> × [3674956886..._<1040>] × [1564889998..._<4413>] (1.68%)

10⁵⁵⁴⁶+1 = 1000000000..._<5547> = 101 × 45121 × 16138861 × 430148941 × 6633923452897715129_<19> × 2144906157509411684424913774078958939881_<40> × 1023037643093214557651333120422980213172­396059301_<49> × 2301758566693739922539762779746120311824­9662502388680738607258133387102794008715­4579555293851089822885094561_<108> × [9433612579..._<5310>] (4.26%)

10⁵⁵⁴⁷+1 = 1000000000..._<5548> = 7 × 11 × 13 × 12277361 × 57009401 × 2182600451_<10> × 77656546687_<11> × 38989100838678520333_<20> × 7306116556571817748755241_<25> × 3047680368470744910648946080146958676329­97_<42> × 3605696680890791382725432167911038465896­663_<43> × [2089064044..._<1780>] × [1287721438..._<3602>] (3.00%)

10⁵⁵⁴⁸+1 = 1000000000..._<5549> = 73² × 137 × 457 × 1753 × 468953 × 1403417 × 16359303947257_<14> × 5240808656722481737_<19> × 162393769017609303761_<21> × 413027811469206720377_<21> × 2974783307863656284148053052903024835550­43017_<45> × 9722345620277187789066356828913697172866­35199884272325005809_<60> × 1499916515585961882150872392293911771417­4412730158634078875737296006185810419004­608104019977_<92> × 7035824104334249358887740710881970075945­2911094693221530830269202458246111885732­49681116336645956647224241_<106> × [1480128120..._<5151>] (7.17%)

10⁵⁵⁴⁹+1 = 1000000000..._<5550> = 11 × 18124686270241_<14> × 42148638006968673158787013_<26> × 909090909090909090909090909091_<30> × 523661705392754764972834211810001059_<36> × 1736027094838023676544212358044818093424­6742941840774929827069381097446101825710­3139536333050392475382212050370542458702­92654737645806593390849_<143> × [1439920921..._<5302>] (4.47%)

10⁵⁵⁵⁰+1 = 1000000000..._<5551> = 61 × 101 × 149 × 601 × 1481 × 2221 × 3109 × 3541 × 3701 × 4441 × 9901 × 15541 × 27961 × 60101 × 68821 × 111149 × 261301 × 3903901 × 4188901 × 7019801 × 7514701 × 39526741 × 6336499381_<10> × 74615611921_<11> × 168290119201_<12> × 633597379501_<12> × 708840373781_<12> × 4098464044501_<13> × 14103673319201_<14> × 1680588011350901_<16> × 3922435297440901_<16> × 22126911081180901_<17> × 23653713304547869_<17> × 51474579992046301_<17> × 107771345624719321_<18> × 25074091038628125301_<20> × 669031686661427842829_<21> × 16206170837408945509907221_<26> × 52876255702589604004014901_<26> × 194616645460538073301281001_<27> × 205318543715430308622381401_<27> × 40548140514062774758071840361_<29> × 63525746267924919262185230801_<29> × 543309565743971477870075858731741_<33> × 2228457285782705288389843210675909_<34> × 38654658795718156456729958859629701_<35> × 6285233456110218477661181438925523267824­3901_<44> × 3685934032886198733503120219424401631090­149156941_<49> × 3526711591638803594270518199285285461480­2588780637908577449241_<62> × 2718806758501803678726530231649429098807­99363524216099671322919521_<66> × 1106856391195125605067659687372491496603­851278760356356904482039681_<67> × 6260554616927865210886975275994609056323­42461236940562171461942282321_<69> × 1432456601..._<226> × 2529932837..._<289> × [1504430733..._<649>] × 4256146242..._<673> × [2200927022..._<1383>] × [8029041990..._<1402>] (38.15%)

10⁵⁵⁵¹+1 = 1000000000..._<5552> = 11 × 859 × 81131 × 222041 × 909091 × 2453543 × 21705503 × 42998047 × 43107481 × 55405813 × 1058313049_<10> × 2394828281_<10> × 231360835259_<12> × 563402487961_<12> × 276221288894920768464157_<24> × 2808648462664797249631967148819187038371­92646197734463_<54> × 1120522253011683685532152825789043757514­5023592596037161_<56> × 5067838741170388910175912578529043989438­9920385627096501794498837_<65> × [3055273414..._<288>] × [7708204487..._<685>] × [3447214486..._<4284>] (5.32%)

10⁵⁵⁵²+1 = 1000000000..._<5553> = 353 × 449 × 641 × 1409 × 69857 × 11885345507521_<14> × [8413722591..._<5523>] (0.52%)

10⁵⁵⁵³+1 = 1000000000..._<5554> = 7 × 11 × 13 × 19 × 23447 × 52579 × 515813 × 10676569 × 33595651 × 52742386739997331610882533_<26> × 45135180224672561394876945851667198023_<38> × [1665377017..._<569>] × [1951493538..._<1200>] × [2979552320..._<3689>] (1.75%)

10⁵⁵⁵⁴+1 = 1000000000..._<5555> = 101 × 3389839469_<10> × 98236874861_<11> × 1090333171039935401_<19> × [2726878145..._<5514>] (0.73%)

10⁵⁵⁵⁵+1 = 1000000000..._<5556> = 11² × 23 × 331 × 607 × 809 × 1213 × 4093 × 5171 × 8779 × 9091 × 33331 × 12038797 × 178241771 × 1327067281_<10> × 20163494891_<11> × 684712138205041_<15> × 1011343309515211_<16> × 10013779702381498531_<20> × 318727841165674579776721_<24> × 77563331944186956136094849_<26> × 533349641903994617620344021223_<30> × 1150049039411782458546879600357516307683­6624586334794818271756072956027758946488­969_<83> × 6093716070..._<358> × [2208722365..._<938>] × [3983412549..._<3981>] (11.47%)

10⁵⁵⁵⁶+1 = 1000000000..._<5557> = 73 × 137 × 11113 × 44449 × 99990001 × 894115530929_<12> × [1006309608..._<1833>] × [2249994375..._<3692>] (0.59%)

10⁵⁵⁵⁷+1 = 1000000000..._<5558> = 11 × 2433967 × [3735017397..._<5550>] (0.13%)

10⁵⁵⁵⁸+1 = 1000000000..._<5559> = 29 × 101 × 281 × 4979969 × 121499449 × 5772915624912581_<16> × 84493004402433488243449621_<26> × [1715076183..._<777>] × [2400346737..._<4720>] (1.12%)

10⁵⁵⁵⁹+1 = 1000000000..._<5560> = 7 × 11 × 13 × 103 × 4013 × 222361 × 21993833369_<11> × 291078844423_<12> × 290278139766211_<15> × 3338786746233023_<16> × 16014662439090373_<17> × 377526955309799110357_<21> × 88735662850196739797693338555620259_<35> × 14060959683864286267405933000927102019_<38> × 1936438332114871929518057885332574185585­8987848620134943_<56> × 1098901098..._<217> × [1239636877..._<1694>] × [8803404425..._<3420>] (8.02%)

10⁵⁵⁶⁰+1 = 1000000000..._<5561> = 17 × 3135841 × 5070721 × 5882353 × 5950563956848801_<16> × 15776985709817114561_<20> × 19721061166646717498359681_<26> × 21714338965644119216395361_<26> × [1680512968..._<1089>] × [9308406165..._<4365>] (1.92%)

10⁵⁵⁶¹+1 = 1000000000..._<5562> = 11 × 167 × 997 × 3565183 × 2097307081_<10> × 6445277298881_<13> × 1541186941139957_<16> × 7742098247001476863_<19> × 9431769031413300684826029009602942998788­41_<42> × 9090909090909090909090909090909090909090­90909090909090909090909091_<66> × [1107377659..._<5385>] (3.18%)

10⁵⁵⁶²+1 = 1000000000..._<5563> = 101 × 109 × 3709 × 9901 × 18541 × 153469 × 801341 × 6863509 × 346973629 × 999999000001_<12> × 5439760205641_<13> × 29286597879221_<14> × 101285454017089_<15> × 17001340047779821_<17> × 2676622210882563600829_<22> × 11402058293429243574781_<23> × 4919341451305222751221981_<25> × 59779577156334533866654838281_<29> × 122708016673764191207130969289_<30> × 33670587927455442579575167786879669_<35> × 9500057548693798868143517047713605498482­1_<41> × 1318910733231022335502996334021907185470­0685799054091470161603102678459019911637­791726472505162050327675229109_<110> × [3147469726..._<371>] × [7893329054..._<1119>] × [1438489556..._<3652>] (7.58%)

10⁵⁵⁶³+1 = 1000000000..._<5564> = 11 × 456167 × 69448493 × [2869595114..._<5549>] (0.26%)

10⁵⁵⁶⁴+1 = 1000000000..._<5565> = 73 × 137 × 857 × 17977 × 1580801 × 3305017 × 17845889 × 4724110777_<10> × 222561495501838353017_<21> × 1174728377118274186697_<22> × 610278304060012464870755221969_<30> × 6325274402021507450906224122454439230492­01_<42> × [1073828389..._<350>] × [1359626744..._<5062>] (2.76%)

10⁵⁵⁶⁵+1 = 1000000000..._<5566> = 7² × 11 × 13 × 127 × 211 × 241 × 743 × 2161 × 2689 × 3499 × 6361 × 9091 × 11131 × 57241 × 459691 × 534241 × 538481 × 723451 × 909091 × 1480291 × 2784091 × 4147571 × 61626811 × 76648601 × 2040723131_<10> × 29970369241_<11> × 1057997274797_<13> × 54137839415767_<14> × 1661378260814161_<16> × 2584863032795023_<16> × 265212793249617641_<18> × 18276168846821336356291_<23> × 917813298871770308465539_<24> × 26526333976234009593263527_<26> × 3961565781890816563346704051_<28> × 8558521377558885170560719135529_<31> × 1570989606264398516186489295496926940315­60694047_<48> × 9090909090909090909090909090909090909090­909090909091_<52> × 2548171182130492354464113595833821781588­0641409868743480754592634023289710402152­43200625902015381883224397137647_<112> × 1352321123248730090708692723609127157649­5159337962861701177848071164846624221419­6619006751660947595648621283774989975906­1263_<124> × 2526777489848353556260463473948408884731­6368931266148924916476686072210610478888­2370361457116007491616204974774005980913­5560066761697620048479221189904530026582­759451_<166> × [2499269719..._<408>] × [9100000909..._<624>] × [8012358448..._<1234>] × [4144804089..._<2473>] (14.86%)

10⁵⁵⁶⁶+1 = 1000000000..._<5567> = 89 × 101 × 1289 × 56629 × 170369 × 29606281 × 1052788969_<10> × 1056689261_<10> × 18371524594609_<14> × 772680329404721_<15> × 1491164086760128255001869_<25> × 4181003300071669867932658901_<28> × 12618302246788689711565695281_<29> × 69691163546816853278309618463969524441_<38> × 2093630887738168146679697488136133045598­06235889961_<51> × 1121401477221110433681152383767817503966­1021219748532792755132723848484657089955­8676962628229357741668578262708884771183­293753569_<129> × [1148531028..._<375>] × [1294196269..._<4826>] (6.59%)

10⁵⁵⁶⁷+1 = 1000000000..._<5568> = 11 × 2445400235117197_<16> × 909090909090909091_<18> × 9090909090..._<292> × [4498241163..._<5241>] (5.86%)

10⁵⁵⁶⁸+1 = 1000000000..._<5569> = 3457 × 12289 × 418725889 × 1265011073_<10> × 109013500835523848449_<21> × 15343168188889137818369_<23> × 2627391479120800511109121_<25> × 515217525265213267447869906815873_<33> × 338579887181973006729167651681190977281_<39> × 1660324999011469461300940104511992358095­7837937462177950368477911534904193_<74> × [3806056341..._<1768>] × [9173175729..._<3564>] (4.25%)

10⁵⁵⁶⁹+1 = 1000000000..._<5570> = 11 × 94283171 × 93161306089_<11> × 57316927244541463_<17> × [1805737702..._<5533>] (0.66%)

10⁵⁵⁷⁰+1 = 1000000000..._<5571> = 101 × 3541 × 27961 × 175936249 × 8443139681_<10> × 48895248916901_<14> × 3469543086790320731944492070561_<31> × [1150950474..._<1091>] × [9640461262..._<2184>] × [3576409999..._<2224>] (1.30%)

10⁵⁵⁷¹+1 = 1000000000..._<5572> = 7 × 11 × 13 × 19 × 13619 × 52579 × 1834717 × 634201866251_<12> × 1389992332717_<13> × 7285212394409503_<16> × 5265110067266696093899_<22> × 592119999726203887006567_<24> × 78670807981822580935210744213_<29> × 22878072073574740342173268358677_<32> × [1777562374..._<579>] × [1561492311..._<1193>] × [4001185054..._<3636>] (2.96%)

10⁵⁵⁷²+1 = 1000000000..._<5573> = 73 × 137 × 7841 × 2037034049_<10> × 271060560233_<12> × 7824160248617_<13> × 37965148250467220777_<20> × 127522001020150503761_<21> × 70776007670260938515176443424241_<32> × [6273653776..._<770>] × [1373111910..._<4690>] (2.03%)

10⁵⁵⁷³+1 = 1000000000..._<5574> = 11 × [9090909090..._<5572>] (0.02%)

10⁵⁵⁷⁴+1 = 1000000000..._<5575> = 101 × 9901 × 11149 × 180782615624780249_<18> × 260639417067843917980049_<24> × 5373405994840405838120881_<25> × 37971275334533449504482529_<26> × [5533841054..._<1790>] × [1685913811..._<3684>] (1.81%)

10⁵⁵⁷⁵+1 = 1000000000..._<5576> = 11 × 251 × 5051 × 9091 × 208729 × 1697477 × 6556201 × 732019801 × 5156432569_<10> × 4015749274441_<13> × 4234777615451_<13> × 78875943472201_<14> × 1966032824334071843648738236716922141567­459089390154109618864643162638011_<73> × 2530932231709740427780783573710212979327­7608545288591963388932694573150696796738­6342851064208779696417921593338374442943­683661653_<129> × [2739187446..._<876>] × [4920380012..._<4412>] (5.16%)

10⁵⁵⁷⁶+1 = 1000000000..._<5577> = 17² × 267649 × 2944129 × 5882353 × 507337937 × 6051298241_<10> × 13355595217_<11> × 48656086054529_<14> × 104222292442128769_<18> × 98634198640248440649183027809_<29> × 1089253429152156256471746514241_<31> × 669995415570582921859463287135169_<33> × 1879812448133240948450289423505051909583­4690259132073729_<56> × 3849768706134664981729511785296829962099­5218286740952471394479857_<65> × 4404410875574787768521718346256386184129­4905937408483757953142563366126920380374­1415744566525108430933975383194546209_<117> × 7004760271724732648212097668225215140540­7090546684529615189261395153318760389164­5634196734073741683247230607581692473423­461149663662946076318737_<144> × [2233896911..._<5024>] (9.91%)

10⁵⁵⁷⁷+1 = 1000000000..._<5578> = 7 × 11² × 13³ × 23 × 157 × 677 × 859 × 4093 × 6007 × 6397 × 8779 × 51767 × 156157 × 216451 × 599144041 × 987001237 × 1058313049_<10> × 15762546853_<11> × 22144088539_<11> × 183411838171_<12> × 264752347289_<12> × 388847808493_<12> × 210991557708361_<15> × 112389066692347771_<18> × 104730101107272149081_<21> × 80216851991399964961367677_<26> × 4398526783100422870888251951691_<31> × 1592730232155679902273246343099578009020­762979379345291_<55> × 3460752460920951256221365127056152886287­9196390936320471942325254862879783_<74> × 9396181793001671106914228395252953637292­3039994594561690888076477964771217059054­7747265739_<90> × 2034912907341890579508004374922618204834­5743806231961039526244407434201293317243­0003527282053786028163285013432528393216­3005113368044494901325885217871107832645­761419_<166> × [4342163700..._<284>] × [1000000000..._<1561>] × [6403811548..._<3115>] (11.09%)

10⁵⁵⁷⁸+1 = 1000000000..._<5579> = 101 × 33469 × 166396090841_<12> × [1777840398..._<5561>] (0.32%)

10⁵⁵⁷⁹+1 = 1000000000..._<5580> = 11 × 909091 × 335085899 × 1284881957_<10> × 114994068305815597_<18> × 109342335162557559820950948449_<30> × [6152741163..._<770>] × [3002258926..._<4739>] (1.27%)

10⁵⁵⁸⁰+1 = 1000000000..._<5581> = 73 × 137 × 1489 × 3169 × 12401 × 98641 × 700849 × 1676321 × 3281041 × 11110153 × 50755681 × 99990001 × 265183201 × 5419392721_<10> × 5964848081_<10> × 8566123361_<10> × 640543322297_<12> × 830859185201_<12> × 1220725699657_<13> × 27908132670449_<14> × 42367299139993_<14> × 3199044596370769_<16> × 384705444182230291105649_<24> × 100009999999899989999000000010001_<33> × 95853807664312827399794371014650641_<35> × 1658444016121584628216733048712806917077­6821649169_<50> × 3934092998504003793986055051156601020217­3435808159761_<53> × 2314061685320398390092255178516694666060­5063239337678349130406077337_<68> × 9764595466801884646728718086635575837426­3120864803042536883990817097_<68> × 1194053240550935343606131291791034479414­833114386116350011658511441777011841_<76> × [2232494053..._<447>] × 1000000000..._<721> × [9999000100..._<960>] × [3047813178..._<2874>] (23.30%)

10⁵⁵⁸¹+1 = 1000000000..._<5582> = 11 × 66973 × 254149666957139_<15> × [5340943905..._<5561>] (0.36%)

10⁵⁵⁸²+1 = 1000000000..._<5583> = 101 × 1451321 × 3927048641_<10> × 56954563829_<11> × [3050143949..._<5554>] (0.51%)

10⁵⁵⁸³+1 = 1000000000..._<5584> = 7 × 11 × 13 × 189823 × 2252182201_<10> × [9090909090..._<1860>] × [2570432791..._<3706>] (0.32%)

10⁵⁵⁸⁴+1 = 1000000000..._<5585> = 353 × 449 × 641 × 1409 × 69857 × 9898845567027617_<16> × 1553953961178981388432673_<25> × [6500957147..._<5528>] (1.01%)

10⁵⁵⁸⁵+1 = 1000000000..._<5586> = 11 × 9091 × 11171 × 400026743 × 8474255788807_<13> × 35680209599506820005912327_<26> × 393576025275081898100661379_<27> × 12426427986062944600420729007_<29> × [1536789484..._<1015>] × [9846826605..._<4460>] (1.98%)

10⁵⁵⁸⁶+1 = 1000000000..._<5587> = 29 × 101 × 229 × 281 × 2129 × 2281 × 4789 × 9901 × 100549 × 226549 × 391021 × 539449 × 1497049 × 4729481 × 121499449 × 304077901 × 3301756921_<10> × 14691812549_<11> × 24286849883381_<14> × 52875286008709_<14> × 722817036322379041_<18> × 739653893349540289_<18> × 1369778187490592461_<19> × 4458192223320340849_<19> × 165068662239682909009_<21> × 1728095716605342484009_<22> × 33950736420661075851541_<23> × 325967317503811929494178450829_<30> × 123202615416316140277937805321161_<33> × 2849804328237327770070659524861030390352­218741_<46> × 3845225778323318739662926792353902964405­172909187389_<52> × 2374210228947235142310460558271832939956­0972065457968561934785062599221_<71> × 9999999999999900000000000000999999999999­9900000000000000999999999999990000000000­0001_<84> × 4211926929669690057191123321028486011918­1841417224327914548495484369630946481330­639729038447921181_<98> × 4859378131018035310593858490137688922829­4686867750687975773965201485452900557996­1674235437261629373578579882107331026589­6384033181_<130> × 1950601390..._<372> × [1306107589..._<1406>] × [1708299062..._<3013>] (20.92%)

10⁵⁵⁸⁷+1 = 1000000000..._<5588> = 11 × 7253 × 181288487 × 4158437623_<10> × 153653579173_<12> × 4477627032859_<13> × 422650073734453_<15> × 1897897688071703_<16> × 186692782275577819_<18> × 296557347313446299_<18> × 624874586263597609_<18> × 12331942624071394811_<20> × 3619883208795950984968733_<25> × 2646756758131654397378192081701748003041­997_<43> × 9998823061783773451618898466551985927663­47086896770989636138585751423_<69> × [7371007143..._<5303>] (5.09%)

10⁵⁵⁸⁸+1 = 1000000000..._<5589> = 73 × 137 × 617 × 11177 × 3921761 × 3988541681_<10> × 90643294457_<11> × 764515044486144085977569_<24> × 8864340352444583393805312185281_<31> × 16205834846012967584927082656402106953_<38> × 2575212027850692464577982171078840918884­244921649_<49> × [3246850456..._<416>] × [1113617563..._<4995>] (3.19%)

10⁵⁵⁸⁹+1 = 1000000000..._<5590> = 7 × 11 × 13 × 19 × 47 × 139 × 487² × 1459 × 2531 × 3727 × 31051 × 52579 × 69499 × 6188887 × 67430557 × 70541929 × 686508049 × 2458921051_<10> × 14175966169_<11> × 37916801893_<11> × 74378092807_<11> × 143574021480139_<15> × 201548060483167_<15> × 549797184491917_<15> × 143409436964525899_<18> × 456502382570032651_<18> × 610600386089858349939139_<24> × 831759677425747570837717_<24> × 2414667616251762189340783_<25> × 24649445347649059192745899_<26> × 117680633072620952134930832292859_<33> × 1880709802856952955373413305337158032187­793270681_<49> × 8997187573495778286317613417300932207138­2277064314026460043622919594180784981981­6835925771559643276518390048146301688389­176642719947087961896703_<144> × 2762606195..._<347> × [6315131823..._<1169>] × [1000000000..._<3565>] (15.32%)

10⁵⁵⁹⁰+1 = 1000000000..._<5591> = 101 × 521 × 3541 × 7741 × 27961 × 308569 × 338669 × 559001 × 2311921 × 6003661 × 1044817620601_<13> × 10013976254101_<14> × 2198478623863901_<16> × 1031498834064949381_<19> × 2259238786077134681_<19> × 12763852652999774041_<20> × 1900381976777332243781_<22> × 12119730504567977254081_<23> × 40714338301692320035516421521_<29> × 2737820036624672031089487008281_<31> × 43109862431095754405502938723895830021_<38> × 7549370642855106064318428883982856249713­821_<43> × 2923500556298303355222653948542706598448­925085853709961673200056984872843366529_<79> × 2198082610937318394308701323982817432408­3831078225247586850633941390323492044945­842110985914964169190119801_<107> × 3422999315024124891490479888930555684687­9469995993217781973389422277649762991938­1410405213349176797123378801504531160389­523331369411970776284398551350113041_<156> × [1448795023..._<985>] × [2017447970..._<1950>] × [8319878069..._<1991>] (11.91%)

10⁵⁵⁹¹+1 = 1000000000..._<5592> = 11 × 44729 × 941529169861013_<15> × 1966856024110918289_<19> × [1097518314..._<5553>] (0.70%)

10⁵⁵⁹²+1 = 1000000000..._<5593> = 17 × 22369 × 704593 × 917089 × 5882353 × 144448817 × 9999999900000001_<16> × 848171317668289597035841_<24> × 52570220513566814405846888017_<29> × [9825342130..._<1842>] × [1093247693..._<3650>] (1.81%)

10⁵⁵⁹³+1 = 1000000000..._<5594> = 11 × 103 × 659 × 4013 × 6299 × 909091 × 34732531 × 1868879293_<10> × 21993833369_<11> × 4855067598095567_<16> × 149419107039492234761_<21> × 5673320472670315859129_<22> × 297262705009139006771611927_<27> × 4717305821646354004174914277_<28> × 1266357411747894278071110554291_<31> × 4588162642029183238011363957761_<31> × 8438120626390460037458746921983251123221­9_<41> × 1037466478304215512424864306226369010022­36971549990724717454338463_<66> × 1669195584..._<274> × [1901524890..._<645>] × [4381477616..._<4351>] (10.69%)

10⁵⁵⁹⁴+1 = 1000000000..._<5595> = 101 × [9900990099..._<5592>] (0.04%)

10⁵⁵⁹⁵+1 = 1000000000..._<5596> = 7 × 11 × 13 × 211 × 241 × 2161 × 9091 × 48491 × 179041 × 321280567 × 994888369905590760499_<21> × 90060564940204590241091_<23> × 31789742592325236493677867077_<29> × 216526856157522033346992833381986034131_<39> × [1466472307..._<283>] × [3437951898..._<715>] × [1266994433..._<1479>] × [9100090999..._<2976>] (2.58%)

10⁵⁵⁹⁶+1 = 1000000000..._<5597> = 73 × 137 × 447078206161_<12> × [2236521477..._<5581>] (0.28%)

10⁵⁵⁹⁷+1 = 1000000000..._<5598> = 11 × 59 × 1931 × 10037 × 201493 × 604477 × 1430131 × 166376423 × 111545881649_<12> × 154083204930662557781201849_<27> × 1971303592086415433699486018997726858813­1479788059136184198723981290523755287675­8580360078419442702688883521253076425640­4612155186751987040696800248062364073483­74092599681_<171> × [8096538787..._<5354>] (4.34%)

10⁵⁵⁹⁸+1 = 1000000000..._<5599> = 101 × 9901 × 5259190381_<10> × 999999000001_<12> × 20270411022697016392828178929_<29> × [4884454532..._<592>] × [1920445766..._<1231>] × [1000000999..._<3721>] (1.00%)

10⁵⁵⁹⁹+1 = 1000000000..._<5600> = 11² × 23 × 1019 × 4093 × 7127 × 8779 × 297965317224358829992811936237_<30> × [1251775283..._<502>] × [3691704827..._<5051>] (0.85%)

10⁵⁶⁰⁰+1 = 1000000000..._<5601> = 4481 × 19841 × 976193 × 6187457 × 21524343993601_<14> × 834427406578561_<15> × 541568088183015318401_<21> × 797626126983473499788675201_<27> × 417067672004431016027567793820801_<33> × 707285850117624346067550937755073_<33> × 3389990665995333265366836872252020333482­3365489863977354562285338205973067991737­9334653083474195264505829365637578634110­6265537_<127> × 9999999999999999999999999999999900000000­0000000000000000000000009999999999999999­9999999999999999000000000000000000000000­00000001_<128> × [1846489890..._<620>] × [2231644722..._<765>] × [5824661676..._<3800>] (7.44%)