10⁴²⁰¹+1 = 1000000000..._<4202> = 11 × 75619 × 193247 × 529327 × 201368255411_<12> × 47962315664132037883886339559337823_<35> × [1216881886..._<4139>] (1.50%)

10⁴²⁰²+1 = 1000000000..._<4203> = 89 × 101 × 77929 × 106961 × 6387041 × 7143401 × 1052788969_<10> × 1056689261_<10> × 1396800425902139920218327445264872633720­3224861_<47> × [8503930644..._<324>] × [2213689165..._<3787>] (2.18%)

10⁴²⁰³+1 = 1000000000..._<4204> = 7 × 11 × 13 × 19 × 25219 × 52579 × 11376121 × 349367371 × 7001239717_<10> × 32005004401_<11> × 44109481118967125300328230419458481_<35> × [2496865915..._<449>] × [7130899518..._<889>] × [5669323870..._<2782>] (2.00%)

10⁴²⁰⁴+1 = 1000000000..._<4205> = 73 × 137 × 5492265353_<10> × 575297095650505818617_<21> × [3164556687..._<4170>] (0.82%)

10⁴²⁰⁵+1 = 1000000000..._<4206> = 11 × 59 × 1451 × 9091 × 3464921 × 17761921 × 30104611 × 58765601 × 119226889 × 2433146345771_<13> × 31208910232441_<14> × 279730811663731_<15> × 5708922049340287_<16> × 17996132431060961_<17> × 154083204930662557781201849_<27> × 1630777462352881403814023114519396413_<37> × 9786272766548023124601100893556320774114­4491224418517422691228321_<65> × [2978274529..._<718>] × [5630021662..._<3241>] (5.87%)

10⁴²⁰⁶+1 = 1000000000..._<4207> = 101 × 9901 × 75709 × 902791970273555133931787414321_<30> × [1448583148..._<1366>] × [1009998990..._<2801>] (0.97%)

10⁴²⁰⁷+1 = 1000000000..._<4208> = 11 × 909091 × 431932691 × 1200234263_<10> × 4393806969952149653_<19> × 730010767233437179325511388630469450917_<39> × 1231907273180532900580246813207624850584­2564849805129_<53> × [4437894368..._<473>] × [1099999890..._<3601>] (3.19%)

10⁴²⁰⁸+1 = 1000000000..._<4209> = 353 × 449 × 641 × 1409 × 69857 × 117539332673092493101121_<24> × [8507790347..._<4169>] (0.93%)

10⁴²⁰⁹+1 = 1000000000..._<4210> = 7 × 11 × 13 × 47 × 139 × 367 × 2531 × 8419 × 31051 × 81131 × 4329659 × 51745081 × 40498340376691_<14> × 143574021480139_<15> × 549797184491917_<15> × 1262843603840521_<16> × 703945824215214463_<18> × 3054602497627776299_<19> × 24649445347649059192745899_<26> × 4293674404051268505730897152041702807799­0465463_<47> × 3327799391606549896523481221243658725565­6671587921_<50> × 1120522253011683685532152825789043757514­5023592596037161_<56> × [9879245550..._<1291>] × [1023652582..._<2608>] (7.39%)

10⁴²¹⁰+1 = 1000000000..._<4211> = 101 × 3541 × 25261 × 27961 × 75781 × 358388881 × 9487630741_<10> × 114783578681_<12> × 30374617640449_<14> × 136984336720421_<15> × 9908105793710701_<16> × 1923449716625508568977467261_<28> × 961793978153247229732651534445101_<33> × 2247655167439226784970227794185484982678­1_<41> × [7539755905..._<759>] × 2535717846..._<1626> × [4083888856..._<1633>] (43.20%)

10⁴²¹¹+1 = 1000000000..._<4212> = 11 × 8423 × 219696293 × 3288222280976214839602973_<25> × [1494020708..._<4174>] (0.90%)

10⁴²¹²+1 = 1000000000..._<4213> = 73 × 137 × 313 × 937 × 3169 × 98641 × 1101673 × 1580801 × 68562937 × 99990001 × 3658644289_<10> × 3199044596370769_<16> × 368255828264024377_<18> × 429817900809510721_<18> × 4567183607490901489_<19> × 5030608786526082241_<19> × 1358074433371719716641_<22> × 22088303808535743236641_<23> × 291593563046646669491593_<24> × 1726290008991504500177463302688697_<34> × 579276943498154282123686999881829009033_<39> × 4359992252543206482185083495172767980765­7_<41> × 6325274402021507450906224122454439230492­01_<42> × 7323941687838105624847742701467683590147­273_<43> × 3345221423650844757330057887630696655974­2891484387246195383469010412091448793471­5334187622132844561179868971005307865589­6960934716754311764809081946966357559506­57968289_<168> × 2608121792..._<227> × [2326566664..._<847>] × [5984547817..._<2564>] (19.04%)

10⁴²¹³+1 = 1000000000..._<4214> = 11² × 23 × 4093 × 8779 × 11491 × 262739 × 4685623 × 6976729 × 27986684688573163073549051_<26> × [6426249820..._<366>] × [5633643699..._<3788>] (1.41%)

10⁴²¹⁴+1 = 1000000000..._<4215> = 29 × 101 × 281 × 8429 × 338669 × 121499449 × 62997514894345258734433816429_<29> × 2595242570116477126790965014696971531374­5485201_<47> × 2923500556298303355222653948542706598448­925085853709961673200056984872843366529_<79> × 9999999999999900000000000000999999999999­9900000000000000999999999999990000000000­0001_<84> × [6177603061..._<429>] × [1186380353..._<3525>] (6.20%)

10⁴²¹⁵+1 = 1000000000..._<4216> = 7 × 11 × 13 × 211 × 241 × 2161 × 9091 × 14051 × 22481 × 33721 × 193891 × 140965234841_<12> × 6560496291091_<13> × 4917833840230807_<16> × 45983528505786931_<17> × 338153044400761475097601_<24> × 58513940129535379432477007_<26> × 404008307661303546289966921_<27> × 83260647980205591593475319975561_<32> × 1431135121058581084714805848152798178115­6825517304025972437630442871247925720843­19412841582786640330468733_<106> × 1654743324648052017434917920719343388118­1252010316221293841402155991914006665222­5037848628410922623655327402658744071445­59674728417785771_<137> × [2234522626..._<545>] × [2601955892..._<1041>] × [2526361507..._<2192>] (10.41%)

10⁴²¹⁶+1 = 1000000000..._<4217> = 17² × 5882353 × 9224609 × 18668449 × 13355595217_<11> × 23037497233_<11> × 789592121167489_<15> × 866353530992835497979626513_<27> × 2212893713887918222645451169509853038253­459532292347577233_<58> × 4404410875574787768521718346256386184129­4905937408483757953142563366126920380374­1415744566525108430933975383194546209_<117> × 6606044344042608469102813673650531547087­6521691539886208593210572807339972705125­5954484746381837884289669103543541094033­006584881480446026721_<141> × [2520626534..._<3816>] (9.50%)

10⁴²¹⁷+1 = 1000000000..._<4218> = 11 × 4427851 × 3019888100313846871104157_<25> × [6798662241..._<4185>] (0.76%)

10⁴²¹⁸+1 = 1000000000..._<4219> = 101 × 149 × 229 × 2281 × 3109 × 4789 × 9901 × 25309 × 111149 × 116357749 × 304077901 × 148624362569_<12> × 708840373781_<12> × 52875286008709_<14> × 348303174732109_<15> × 23653713304547869_<17> × 561246014331098749_<18> × 722817036322379041_<18> × 739653893349540289_<18> × 1369778187490592461_<19> × 669031686661427842829_<21> × 33950736420661075851541_<23> × 40548140514062774758071840361_<29> × 543309565743971477870075858731741_<33> × 2228457285782705288389843210675909_<34> × 3526711591638803594270518199285285461480­2588780637908577449241_<62> × [1210815854..._<1268>] × [9652756052..._<2565>] (9.15%)

10⁴²¹⁹+1 = 1000000000..._<4220> = 11 × 12960769 × [7014174151..._<4211>] (0.19%)

10⁴²²⁰+1 = 1000000000..._<4221> = 73 × 137 × 1676321 × 5964848081_<10> × 24591154066870919761_<20> × 283656356676737493521_<21> × [9999000099..._<840>] × [1433745263..._<3321>] (1.42%)

10⁴²²¹+1 = 1000000000..._<4222> = 7² × 11 × 13 × 19 × 127 × 1877 × 2689 × 7237 × 52579 × 459691 × 909091 × 5274739 × 54011917 × 67460023 × 17830074841_<11> × 2919527459437_<13> × 851109498533797_<15> × 82807833384684209867899_<23> × 1632942157382367303385801_<25> × 45360300267343173645804799921_<29> × 189772422673235585874485732659_<30> × 9090909090909090909090909090909090909090­90909090909090909090909091_<66> × 2205898426186801989910867313546784882759­26380957742565496334997548411735059_<75> × [7077126319..._<370>] × [6130039539..._<372>] × [5770843274..._<772>] × [1480878534..._<2369>] (8.04%)

10⁴²²²+1 = 1000000000..._<4223> = 101 × 16889 × 21450757621_<11> × [2732952319..._<4206>] (0.39%)

10⁴²²³+1 = 1000000000..._<4224> = 11 × 1237 × 8447 × 25339 × 44092859 × 102860539 × 984385009 × 612053256358933_<15> × 2670502781396266997_<19> × 3404193829806058997303_<22> × 182725114866521155647161_<24> × 1471865453993855302660887614137521979_<37> × [5139261536..._<4072>] (3.58%)

10⁴²²⁴+1 = 1000000000..._<4225> = 257 × 15361 × 434689 × 453377 × 859393 × 1150826550017_<13> × 206880006674177_<15> × 33649448872371457_<17> × 145778507161340929_<18> × 385048980918404353_<18> × 2066546663179837697_<19> × 18489690647721207553_<20> × 223680766578865525249_<21> × 8232482583344678672169606913_<28> × 1420181495488594477989904308423718974315­8239327057547504266794004802647315794432­1_<81> × 5587118763375362122579477500901613134643­0842253464047463157158784732544216230781­165223702155223678309562822667655169_<116> × 3842503166656902349929043480466226550918­9764624919574336880482034091688791929134­4413313639306019588621594114125088660845­07001318401_<131> × [2359835710..._<1198>] × [6569609177..._<2513>] (12.16%)

10⁴²²⁵+1 = 1000000000..._<4226> = 11 × 131 × 251 × 677 × 859 × 5051 × 6761 × 9091 × 107251 × 4271801 × 455531051 × 987001237 × 1058313049_<10> × 82009322851_<11> × 78875943472201_<14> × 57919421281111001_<17> × 318942474614140390001_<21> × 2132178310436954247617371_<25> × 8396862596258693901610602298557167100076­327481_<46> × 1592730232155679902273246343099578009020­762979379345291_<55> × 5155980583494268934255123245395069977106­0820328070035168090472947360446489351242­6851_<84> × 9396181793001671106914228395252953637292­3039994594561690888076477964771217059054­7747265739_<90> × 1618471741300957926037194539868177094144­6381711386794528198581933829095273175764­3195331250705338664714884091786251_<114> × [6936901740..._<596>] × [3790162238..._<3095>] (12.65%)

10⁴²²⁶+1 = 1000000000..._<4227> = 101 × 33809 × 271435981 × [1078894264..._<4212>] (0.35%)

10⁴²²⁷+1 = 1000000000..._<4228> = 7 × 11 × 13 × 2819 × 541904753824920169979_<21> × 911803204115064548437_<21> × [6526617545..._<1363>] × [1098901098..._<2817>] (1.14%)

10⁴²²⁸+1 = 1000000000..._<4229> = 73 × 137 × 7841 × 5072393 × 5301913 × 23954641 × 134374297 × 127522001020150503761_<21> × [8229131674..._<586>] × [1403765695..._<3586>] (1.35%)

10⁴²²⁹+1 = 1000000000..._<4230> = 11 × 4124958143_<10> × 198681769369_<12> × [1109250798..._<4208>] (0.52%)

10⁴²³⁰+1 = 1000000000..._<4231> = 61 × 101 × 181 × 941 × 1129 × 3541 × 8461 × 9901 × 27961 × 45121 × 4188901 × 13854661 × 39526741 × 47925901 × 29096340761_<11> × 48881702341_<11> × 999999000001_<12> × 491024222284801_<15> × 1717141045286521_<16> × 3792128943527581_<16> × 474181059033108701_<18> × 28591819631687547901_<20> × 266911765212294809521_<21> × 4999437541453012143121_<22> × 1105097795002994798105101_<25> × 1103934325530472323615199261_<28> × 18465110677523332168571918701_<29> × 2246285860430986548506215527001_<31> × 51739581530545004872281912557761_<32> × 4823107378607411735036328782502481_<34> × 1310889747581857604086884031649597221_<37> × 32392612190601505925687792712748935421_<38> × 2144906157509411684424913774078958939881_<40> × 2569311998775385126295415913181190933194­0122321_<47> × 3627802786743186199345265983052931189302­0335861_<47> × 1023037643093214557651333120422980213172­396059301_<49> × 4416594546258097201926470552762575286378­32621638030289_<54> × 8325305614173302695136861724535746421039­80456844602894975421_<60> × 2377887731204762925852743951147119066491­6585162920869352217582651463222567423724­41_<82> × 4215785328066231020532139313702419815414­6256810773381728147893015840621480436349­967076290258995255358372987501_<110> × 2754705020265959180956226624445298384080­3585915255958958839177494837015770211394­6705140409286985742346466789268894813963­795774092351262475425561619290841_<153> × [5643388696..._<219>] × 3689133992..._<302> × [1000000999..._<553>] × [7038014049..._<1010>] × [1528231857..._<1043>] (33.27%)

10⁴²³¹+1 = 1000000000..._<4232> = 11 × 11910417317_<11> × 59101874333_<11> × [1291454417..._<4210>] (0.52%)

10⁴²³²+1 = 1000000000..._<4233> = 17 × 5882353 × 658111150993_<12> × 1205530548914055885457278225432810661628­03459003848166118314367809_<66> × 8295102856587101112151219663083514451877­4133555852877567503980614227065994320281­8322753067885238020768017585089_<111> × [1519500161..._<4037>] (4.63%)

10⁴²³³+1 = 1000000000..._<4234> = 7 × 11 × 13 × 103 × 167 × 499 × 997 × 4013 × 59263 × 186253 × 1442209 × 2184727 × 3565183 × 4670411 × 6315637 × 2097307081_<10> × 21993833369_<11> × 291078844423_<12> × 20311000162889_<14> × 18804683460692287_<17> × 7742098247001476863_<19> × 377526955309799110357_<21> × 63738337233249661554967_<23> × 9431769031413300684826029009602942998788­41_<42> × 8640537866821528796307988728455578923633­637199851_<49> × 8088945454234260244205089187478561681297­5777356642824606466052114880713083291412­35925700004673611573_<100> × 6166521466..._<1276> × [2048031316..._<2585>] (38.95%)

10⁴²³⁴+1 = 1000000000..._<4235> = 101 × 349 × 38861 × 618049 × 5911541 × 11982221 × 1173480875041_<13> × 16692085818029_<14> × 5774294197526381_<16> × 7802513527451827409_<19> × 143031104260677326286101_<24> × 182202742802607835615596881_<27> × 108584449518610510682983051741_<30> × 1181180637520183640867963573625866958318­7541_<44> × 9537037576103752545861071409967321761728­9990894179079867527663488171910160934607­69_<82> × [5927552053..._<3942>] (6.90%)

10⁴²³⁵+1 = 1000000000..._<4236> = 11³ × 23 × 331 × 463 × 3851 × 4093 × 4357 × 5171 × 8779 × 9091 × 10891 × 24179 × 25169 × 131891 × 590437 × 909091 × 1485397 × 1660121 × 4147571 × 7444361 × 15076601 × 170873011 × 20163494891_<11> × 22013315327851_<14> × 6635992846058731_<16> × 265212793249617641_<18> × 4539402627853030477_<19> × 4924630160315726207887_<22> × 102502981431359171598893_<24> × 318727841165674579776721_<24> × 1051543809110704722613632495009411089889­481_<43> × 3815465557445576556927066195758955772398­238343771_<49> × 5444710013725792963322916526756467746442­08265246405598834086237345292487_<72> × 3443418448467037868174732779131913880029­5165383633122627606920790402425397436033­1148938523782918481623963597196523579507­803885921997278081_<138> × [6961728477..._<431>] × [1000000000..._<661>] × [2735051141..._<2598>] (12.91%)

10⁴²³⁶+1 = 1000000000..._<4237> = 73 × 137 × 62129 × 2973673 × 99990001 × 1518182401_<10> × 4469598457_<10> × 1814613358043089_<16> × 1832363771214427907680885379809_<31> × [1609393375..._<1404>] × [1490602881..._<2746>] (2.07%)

10⁴²³⁷+1 = 1000000000..._<4238> = 11 × 208729 × 1697477 × 5156432569_<10> × 8305486037_<10> × 909090909090909091_<18> × 1966032824334071843648738236716922141567­459089390154109618864643162638011_<73> × 2530932231709740427780783573710212979327­7608545288591963388932694573150696796738­6342851064208779696417921593338374442943­683661653_<129> × [1324425801..._<3987>] (5.92%)

10⁴²³⁸+1 = 1000000000..._<4239> = 101 × 521 × 498698470009_<12> × 1900381976777332243781_<22> × 165400266678138077482517141_<27> × 1963726703284756552906455136069_<31> × 76232914055207003005318654163381_<32> × 2604342325..._<281> × [3109597099..._<3832>] (9.59%)

10⁴²³⁹+1 = 1000000000..._<4240> = 7 × 11 × 13 × 19 × 4397 × 5653 × 52579 × 183691 × 928813 × 3641773 × 70541929 × 14175966169_<11> × 24408664087_<11> × 87550347583_<11> × 386935254007_<12> × 4467272902805255897881_<22> × 4636229115501445866228384981658534693421­9100138220618375160747209_<65> × 9755872853901756680890615403191792297388­1172935821050555683576948890569821871148­74692197915708047_<97> × 3163436454570849606598523279232435654261­4983589144468325976307877269289749062000­18053239752601326111930021696487_<112> × 5677249457541767920914361261393637170284­2084190817259161711159777577563483338093­8944473350289057242141068395451138705476­43014663862360146330362411_<146> × [9639782012..._<927>] × [2238502152..._<2787>] (12.40%)

10⁴²⁴⁰+1 = 1000000000..._<4241> = 353 × 449 × 641 × 1409 × 1697 × 69857 × 1373761 × 1634881 × 18453761 × 6091217921_<10> × 947147262401_<12> × 6659542517817601_<16> × 19653915167476801_<17> × 50666791195245169449313_<23> × 12009319775706514220108801_<26> × 349954396040122577928041596214187605761_<39> × [7049611193..._<775>] × [1254302793..._<3287>] (4.22%)

10⁴²⁴¹+1 = 1000000000..._<4242> = 11 × 131878678849_<12> × 307688492787248629838887026976339_<33> × [2240378894..._<4197>] (1.05%)

10⁴²⁴²+1 = 1000000000..._<4243> = 29 × 101² × 281 × 9901 × 10909 × 60601 × 226549 × 121499449 × 514130401 × 3679329001_<10> × 19384130081_<11> × 12793360409007449_<17> × 185695566181687729_<18> × 4458192223320340849_<19> × 4908990488743183603681_<22> × 169729890102775297432749649_<27> × 230582899823727547560244489_<27> × 5383539446793990416488818114381662511041_<40> × 1479870248985573318252709282951008209165­09_<42> × 1049804256674190178028293761632537595490­2715561_<47> × 2747096710559355357637346286256169476037­14681537231287179261_<60> × 2002446477..._<276> × [1009999999..._<1201>] × [1925776025..._<2392>] (15.34%)

10⁴²⁴³+1 = 1000000000..._<4244> = 11 × 3645254647_<10> × 4522936169_<10> × 6141701273840933_<16> × 1653798934786188267731_<22> × [5428596808..._<4186>] (1.35%)

10⁴²⁴⁴+1 = 1000000000..._<4245> = 73 × 137 × 50929 × 1687001321311067520617_<22> × [1163793698..._<4215>] (0.71%)

10⁴²⁴⁵+1 = 1000000000..._<4246> = 7 × 11 × 13 × 211 × 241 × 1699 × 2161 × 9091 × 241117 × 758441 × 9170899 × 131708201 × 715880197 × 1167408961_<10> × 3917082241_<10> × 473010977041_<12> × 5202890600698291_<16> × 2108789354906293681_<19> × 21279344764661594183530203415321_<32> × 36864212535277351699026959709131_<32> × 1941850545413860134349140850659019_<34> × 7198295568559013885196835567543447_<34> × 61945573305222690279363663578823967_<35> × 4901999948893733786655871555821130375092­5973449_<47> × 1511683480129204931881648121504080561751­48228488823_<51> × 4834389726736518293852244130660191969670­7976106339486456947619775581596788967635­9171209724331727292029682663034137421755­3659008741548305187653_<142> × [1197459604..._<482>] × [2698024044..._<1036>] × [1995058352..._<2208>] (12.28%)

10⁴²⁴⁶+1 = 1000000000..._<4247> = 89 × 101 × 968089 × 1052788969_<10> × 1056689261_<10> × 1439921227944130405196041866693950149_<37> × [6876063708..._<348>] × [1043292507..._<3835>] (1.51%)

10⁴²⁴⁷+1 = 1000000000..._<4248> = 11 × 339761 × 364393423 × 1737778967_<10> × 117651465889_<12> × 441651480271681_<15> × 676321006412903_<15> × 261093215873033895960976517_<27> × 218801242136856556680173235529_<30> × 909090909090909090909090909091_<30> × 3244569580634956101009646791013296826459­859399717968478099_<58> × [7135575981..._<4039>] (4.90%)

10⁴²⁴⁸+1 = 1000000000..._<4249> = 17 × 2833 × 8929 × 5882353 × 11197729 × 26337601 × 175102561 × 863456977 × 22834532113_<11> × 223568929393_<12> × 2362032437865073_<16> × 9999999900000001_<16> × 1775867753150444278073071788548035842257_<40> × 1119946242580356142905139433307201254339­79169_<45> × [2138026876..._<418>] × [1671750685..._<880>] × [1034259084..._<2769>] (4.32%)

10⁴²⁴⁹+1 = 1000000000..._<4250> = 11 × 40063 × 909091 × 1470366704648366851_<19> × 2820808865330392363771_<22> × 21506393120493988624437213019_<29> × [7175804659..._<555>] × [3899590303..._<3615>] (1.87%)

10⁴²⁵⁰+1 = 1000000000..._<4251> = 101 × 3541 × 4001 × 5101 × 8501 × 26861 × 27961 × 60101 × 76001 × 1610501 × 3221501 × 7019801 × 10455001 × 28559389 × 63138001 × 1491383821_<10> × 21384640001_<11> × 7568346838961_<13> × 14103673319201_<14> × 1680588011350901_<16> × 2324557465671829_<16> × 7239775671637271201_<19> × 68767503984110209501_<20> × 237612993541791006121_<21> × 228874386456730629545201_<24> × 14305987221084718242712901_<26> × 9617937539686528098542338201_<28> × 1988731184935761442996825520561_<31> × 2095984910297609187763730708273246358018­472392101_<49> × 1051361091529803074497312148085134194834­726090632313891925201_<61> × 3288608250165718724790455719578874902068­9459942486319578774270656490822624175142­646095920001_<92> × 6209247929687718293872530970176361270188­5934873686511216074999022043451075472787­66048583639501_<94> × [6535808879..._<242>] × [1948394174..._<245>] × [7999167281..._<1566>] × [1514903934..._<1586>] (14.42%)

10⁴²⁵¹+1 = 1000000000..._<4252> = 7 × 11 × 13² × 157 × 859 × 6397 × 216451 × 467611 × 4302013 × 1058313049_<10> × 388847808493_<12> × 52827844415503_<14> × 3338786746233023_<16> × 14060959683864286267405933000927102019_<38> × 1936438332114871929518057885332574185585­8987848620134943_<56> × 1098901098..._<217> × [1099999999..._<1297>] × [8562923515..._<2566>] (9.15%)

10⁴²⁵²+1 = 1000000000..._<4253> = 73 × 137 × 76537 × 83500777 × 41771843593_<11> × 166112360950478761817353_<24> × [2254805194..._<4202>] (1.19%)

10⁴²⁵³+1 = 1000000000..._<4254> = 11 × 26698675331_<11> × 270132099445213_<15> × 47438667817371925769_<20> × [2657106257..._<4208>] (1.07%)

10⁴²⁵⁴+1 = 1000000000..._<4255> = 101 × 9901 × 85081 × 207029 × 6466081 × 13479509 × [6449107888..._<1392>] × [1009998990..._<2833>] (0.71%)

10⁴²⁵⁵+1 = 1000000000..._<4256> = 11 × 47 × 139 × 691 × 2531 × 7253 × 9091 × 30637 × 714841 × 40538237 × 2348555453641_<13> × 2947090849481_<13> × 422650073734453_<15> × 549797184491917_<15> × 49173925574833481_<17> × 296557347313446299_<18> × 161293576452574036129333_<24> × 4895861221012761213953956601_<28> × 1591879884384947756889998393793196655587­7132981347465830696251648192619376266439­940521_<86> × 2236935504439282957619836393526121214605­1995578845131526611800779453430519897692­8924538425776038404154454146973428926799­68594131_<128> × [3270801938..._<739>] × [6300703385..._<3128>] (9.13%)

10⁴²⁵⁶+1 = 1000000000..._<4257> = 1217 × 8513 × 19841 × 665153 × 976193 × 1601473 × 6187457 × 65384321 × 1061795393_<10> × 834427406578561_<15> × 911712031611457_<15> × 52226881455297073735169_<23> × 18542613285686578370456001857_<29> × 417067672004431016027567793820801_<33> × 707285850117624346067550937755073_<33> × 89360919064107809136921297069895873_<35> × 3928012193813155346711857127951417921651­415863617_<49> × 3389990665995333265366836872252020333482­3365489863977354562285338205973067991737­9334653083474195264505829365637578634110­6265537_<127> × [1988133518..._<427>] × [2118275463..._<3421>] (9.62%)

10⁴²⁵⁷+1 = 1000000000..._<4258> = 7 × 11² × 13 × 19 × 23 × 4093 × 8779 × 52579 × 272449 × 1708219 × 10455967 × 47091881 × 57009401 × 599144041 × 2182600451_<10> × 2415697087_<10> × 7093127053_<10> × 33076064143_<11> × 183411838171_<12> × 326273874103_<12> × 3358782186607_<13> × 41130156794062447_<17> × 98169010780443571_<17> × 264881203403814035677_<21> × 4481155938918673722973_<22> × 18065356669522314875053_<23> × 7306116556571817748755241_<25> × 26582200910768587595398699258026449_<35> × 3047680368470744910648946080146958676329­97_<42> × 3605696680890791382725432167911038465896­663_<43> × 1411225248778861822822335393177961449383­05111168717_<51> × 3503742361099708662209606335321225392619­5272207441939622830330161546317292588303_<80> × 3888962863856960110488574591030581052130­9841050950415367273378889527486268283796­0292927601154279397218087934885439100106­56122551369920766848757_<143> × [6087694775..._<336>] × [7453600592..._<813>] × [3505711929..._<2459>] (15.26%)

10⁴²⁵⁸+1 = 1000000000..._<4259> = 101 × 425801 × 962309 × 45665925889_<11> × [5291333489..._<4234>] (0.57%)

10⁴²⁵⁹+1 = 1000000000..._<4260> = 11 × 4582062672015535057978493_<25> × [1984021114..._<4234>] (0.60%)

10⁴²⁶⁰+1 = 1000000000..._<4261> = 73 × 137 × 5113 × 17041 × 834961 × 1676321 × 4672937 × 6188929 × 99990001 × 361639921 × 5964848081_<10> × 11473030297_<11> × 465399516529_<12> × 273919647900781361_<18> × 3680445263569230241_<19> × 744451946545698670801_<21> × 33233412196028093809254651841_<29> × 100009999999899989999000000010001_<33> × 2284811904185513934602789046132513875275­2437281_<47> × 4464770518736461252212297564895830819002­3012536081192611094211843306393900887680­445089061753_<92> × 6674453733225557488251415205037932916521­8699128683683755465038638131167410465821­6820684054966269965371491433_<108> × [6790882346..._<538>] × [2114984680..._<1082>] × [1009120837..._<2193>] (10.54%)

10⁴²⁶¹+1 = 1000000000..._<4262> = 11 × 42611 × [2133465323..._<4256>] (0.13%)

10⁴²⁶²+1 = 1000000000..._<4263> = 101 × 1662180001_<10> × [5956629301..._<4251>] (0.26%)

10⁴²⁶³+1 = 1000000000..._<4264> = 7³ × 11 × 13 × 59 × 127 × 197 × 2437 × 2689 × 8527 × 19489 × 25579 × 187573 × 459691 × 909091 × 243720583 × 4315282651_<10> × 10438390327_<11> × 638453709757_<12> × 27572608087207_<14> × 135080726389891_<15> × 2563963356465898129_<19> × 154083204930662557781201849_<27> × 13569612563320403017443683179_<29> × 18996630617058470663945947129_<29> × 1274194732898148471766404179653_<31> × 16770055575939249091900247911180761721_<38> × 5076141624365532994918781726395939035533_<40> × 1428571571428571428569999999857142857142­8585714285714285571428557142857142857285­7143_<84> × 6656280510176649041177006666533233898159­8238955516121768797834931727557023054104­07269034716016715927564139783_<109> × [5159910365..._<286>] × [1123492681..._<1163>] × [3979162216..._<2301>] (12.07%)

10⁴²⁶⁴+1 = 1000000000..._<4265> = 17 × 1249 × 49297 × 300977 × 648961 × 5882353 × 6051298241_<10> × 48656086054529_<14> × 249227787818677482257_<21> × 669995415570582921859463287135169_<33> × 1879812448133240948450289423505051909583­4690259132073729_<56> × 3336327664384090112747059870264076396700­42305536743429073_<57> × 3849768706134664981729511785296829962099­5218286740952471394479857_<65> × 7004760271724732648212097668225215140540­7090546684529615189261395153318760389164­5634196734073741683247230607581692473423­461149663662946076318737_<144> × [1000000009..._<3841>] (9.94%)

10⁴²⁶⁵+1 = 1000000000..._<4266> = 11 × 3413 × 9091 × 136481 × 2244041704459463921_<19> × [1951636045..._<844>] × [4901820665..._<3390>] (0.75%)

10⁴²⁶⁶+1 = 1000000000..._<4267> = 101 × 109 × 5689 × 9901 × 10429 × 14221 × 132721 × 153469 × 546282544681_<12> × 999999000001_<12> × 1136147877590474858093442721_<28> × 59779577156334533866654838281_<29> × 507998564486483655774880939989709_<33> × 6463019629164534923253835672539917600836­17720844121_<51> × 5300840448377912032674189587344789058928­62260111193658629289735929681_<69> × 7296903902..._<303> × [1132969223..._<894>] × [1000000000..._<2809>] (13.24%)

10⁴²⁶⁷+1 = 1000000000..._<4268> = 11 × 103 × 503 × 4013 × 5213439677_<10> × 21993833369_<11> × 4067568702062638144916699_<25> × 17764334637927138067713031681_<29> × 2212012955306294098346533984373_<31> × 2168919673458270805366079489123268990953­8844325990924677397646308082829007403196­5973633772569660745844474775816881614567­23290029877534439668145537718911503_<155> × [1099999999..._<4001>] (6.26%)

10⁴²⁶⁸+1 = 1000000000..._<4269> = 73 × 137 × 617 × 8537 × 59753 × 16205834846012967584927082656402106953_<38> × 8988960626907390108290157843627796598388­3967076039535258233_<59> × 1112364433..._<326> × [1960552295..._<3832>] (10.23%)

10⁴²⁶⁹+1 = 1000000000..._<4270> = 7 × 11 × 13 × 8539 × 17077 × 170761 × 341521 × 10654847229278777143_<20> × [6234314725..._<1414>] × [1768500869..._<2815>] (0.96%)

10⁴²⁷⁰+1 = 1000000000..._<4271> = 29 × 101 × 281 × 421 × 1709 × 3541 × 6101 × 21961 × 27961 × 51241 × 93941 × 1587221 × 3471301 × 9818561 × 13489841 × 121499449 × 60368344121_<11> × 72445409261_<11> × 81183810541_<11> × 217345835281_<12> × 555818110301_<12> × 28474644365651641_<17> × 188991646284391469_<18> × 8950221294967070861_<19> × 17751033585336286181_<20> × 251783639287978599341_<21> × 848654483879497562821_<21> × 12825306489097494993329_<23> × 17716886277230798340041_<23> × 1014441626560371517458785583858927535968­49_<42> × 3017715087851409052154766305462823594422­1777770161_<50> × 3906966928869778946948862561583471194483­6425801981_<50> × 2718636359239272594259345429034580133655­1729326489701011779461_<62> × 7574338876826097411632784892018433752805­9461788181539337429709_<62> × 2939694892824021451304337218114229277471­1501573237257023101752921_<65> × 1642269048916396301246801744101379821902­0735198105711435205769719288157246596331­6155669983775522130343476452777013148685­6721570324295821_<136> × [2438197887..._<678>] × [2064420089..._<1404>] × [2798897498..._<1441>] (17.54%)

10⁴²⁷¹+1 = 1000000000..._<4272> = 11 × 8543 × 48202989597749068566661266155887_<32> × [2207612955..._<4235>] (0.86%)

10⁴²⁷²+1 = 1000000000..._<4273> = 97 × 353 × 449 × 641 × 1409 × 19937 × 69857 × 206209 × 113968417 × 6579267329_<10> × 66554101249_<11> × 75118313082913_<14> × 734074548780577_<15> × 1022023289290049_<16> × [7459365124..._<1379>] × [1195295589..._<2794>] (2.34%)

10⁴²⁷³+1 = 1000000000..._<4274> = 11 × [9090909090..._<4272>] (0.02%)

10⁴²⁷⁴+1 = 1000000000..._<4275> = 101 × [9900990099..._<4272>] (0.05%)

10⁴²⁷⁵+1 = 1000000000..._<4276> = 7 × 11 × 13 × 19² × 211 × 241 × 251 × 571 × 2053 × 2161 × 2851 × 5051 × 9091 × 29611 × 52579 × 253651 × 270001 × 470251 × 1458973 × 3425131 × 3762091 × 4617001 × 4410785971_<10> × 1812604116731_<13> × 2911579215499_<13> × 8985695684401_<13> × 28160549601451_<14> × 78875943472201_<14> × 121450506296081_<15> × 909090909090909091_<18> × 2645311039604654401_<19> × 11382273828031938028891_<23> × 31827056337743972254801_<23> × 37536220395103028946001_<23> × 430980650733675562214801_<24> × 3605627469350067392124001_<25> × 43135513763991692454656851_<26> × 223511343531391476730446841_<27> × 307010852070382484317401373_<27> × 383854742458924623593660909731_<30> × 753201806271328462547977919407_<30> × 676949894797134696311042616530611_<33> × 1000009999999998999989999900000000010000­1_<41> × 4996731930447843676185843959746621491531­100801_<46> × 6508684267533856834852965580950145565983­063793936631379_<55> × 3245978377655567212760904825925262846295­1980219023093305171626002054148822574802­87263152055681_<94> × 3703689986333387654119799556297939637260­6027348046859085707052936840974663019766­59345706127014344391317072899730001_<115> × [6758940096..._<284>] × [1087691571..._<331>] × [8322065172..._<675>] × [3780273794..._<2142>] (19.76%)

10⁴²⁷⁶+1 = 1000000000..._<4277> = 73 × 137 × 1749602369_<10> × 210517574634319043513_<21> × [2714743842..._<4243>] (0.78%)

10⁴²⁷⁷+1 = 1000000000..._<4278> = 11 × 659 × 859 × 1223 × 6299 × 909091 × 21705503 × 1058313049_<10> × 4855067598095567_<16> × 60255294468800700570765517_<26> × 297262705009139006771611927_<27> × 5067838741170388910175912578529043989438­9920385627096501794498837_<65> × 1669195584..._<274> × [1492694782..._<524>] × [9090910000..._<3312>] (10.33%)

10⁴²⁷⁸+1 = 1000000000..._<4279> = 101 × 829 × 1289 × 5209 × 9901 × 111229 × 1569889 × 2049349 × 12285749230921_<14> × 18371524594609_<14> × 536430531035337769_<18> × 12274117319601725201_<20> × 90823875491198155129_<20> × 757108543129939106221_<21> × 4181003300071669867932658901_<28> × 139716865184144864008269344660199946429_<39> × 320027498487407498891198822189402318849_<39> × 1910846617679140068129270917199256656502­9_<41> × 4831285495545122373055545883590398223973­07149685578249_<54> × 1387770812537486172424567765413032718466­560432631753219117445147282909788805041_<79> × [2831025474..._<1243>] × [7245350192..._<2622>] (9.67%)

10⁴²⁷⁹+1 = 1000000000..._<4280> = 11² × 23 × 4093 × 8779 × 110477 × 5577214369_<10> × 1142486983727_<13> × 147351852638675482771921_<24> × 2086997763174890144712017862197558806624­9_<41> × 2675825931..._<320> × [1726331069..._<3859>] (9.83%)

10⁴²⁸⁰+1 = 1000000000..._<4281> = 17 × 393761 × 5070721 × 5882353 × 609642581574481631681_<21> × 11241260432198885394881_<23> × 19721061166646717498359681_<26> × [9999999900..._<848>] × [3705757550..._<3344>] (2.07%)

10⁴²⁸¹+1 = 1000000000..._<4282> = 7 × 11 × 13 × 214051 × 828441997 × 218940591505213_<15> × [9090909090..._<1426>] × [2830433479..._<2824>] (0.74%)

10⁴²⁸²+1 = 1000000000..._<4283> = 101 × 42821 × [2312180962..._<4276>] (0.15%)

10⁴²⁸³+1 = 1000000000..._<4284> = 11 × 2293892789117_<13> × [3963092405..._<4270>] (0.31%)

10⁴²⁸⁴+1 = 1000000000..._<4285> = 73 × 137 × 953 × 2857 × 3169 × 7841 × 98641 × 371281 × 2570401 × 6514537 × 13266937 × 99990001 × 152533657 × 282803977 × 1914825193_<10> × 11189053009_<11> × 41593295521_<11> × 617688376950961_<15> × 2142518367141601_<16> × 3199044596370769_<16> × 603812429055411913_<18> × 1119527384827710553_<19> × 3777811937749537921_<19> × 127522001020150503761_<21> × 148029423400750506553_<21> × 7064204436768358634702473_<25> × 53043011765949537815976769_<26> × 197487625640022530230424689_<27> × 4821233048302009490154033911787593_<34> × 9669314576207924611729263841892458362961_<40> × 5755688257834164718515359898601696418520­1_<41> × 8412754911007788081960885806789768051116­9_<41> × 6555274617188258326423007086888436687780­3237222654400793_<56> × 4045527636074852874244256082968844875121­5185778145671171534342753113_<68> × 4443238479422134375589744174203253108661­5578692097502509412995439256236377_<74> × 1563539502..._<295> × [4739518954..._<331>] × [2520618948..._<704>] × [6298392034..._<2283>] (22.58%)

10⁴²⁸⁵+1 = 1000000000..._<4286> = 11 × 9091 × 999673361 × 62526304942903_<14> × 2366582857964289716100133162531_<31> × [1453933524..._<843>] × [4649524157..._<3385>] (1.36%)

10⁴²⁸⁶+1 = 1000000000..._<4287> = 101 × 848629 × 1321842861331056541_<19> × [8826345581..._<4260>] (0.61%)

10⁴²⁸⁷+1 = 1000000000..._<4288> = 7 × 11 × 13 × 47259889 × 5865430531_<10> × 1947547180357_<13> × 1045009851966050465253560419_<28> × [4466825045..._<1389>] × [3964295458..._<2839>] (1.39%)

10⁴²⁸⁸+1 = 1000000000..._<4289> = 11131649 × 1265011073_<10> × 15343168188889137818369_<23> × 515217525265213267447869906815873_<33> × [8983395002..._<4217>] (1.66%)

10⁴²⁸⁹+1 = 1000000000..._<4290> = 11 × 360277 × 823489 × [3064170836..._<4277>] (0.29%)

10⁴²⁹⁰+1 = 1000000000..._<4291> = 61 × 89 × 101 × 521 × 661 × 2861 × 3121 × 3541 × 8581 × 9901 × 18041 × 19501 × 27961 × 148721 × 1063921 × 2311921 × 4188901 × 17247781 × 39526741 × 1052788969_<10> × 1056689261_<10> × 1082745841_<10> × 1121407321_<10> × 5419170769_<10> × 152980598629_<12> × 17576772101461_<14> × 18516980928601_<14> × 53397071018461_<14> × 507868012934701_<15> × 789390798020221_<15> × 2361000305507449_<16> × 9000931379651641_<16> × 201721695849323521_<18> × 1031498834064949381_<19> × 9160020509281917601_<19> × 9166521169379834261_<19> × 12763852652999774041_<20> × 58348083655708472341_<20> × 1900381976777332243781_<22> × 6787885868206616032861_<22> × 12119730504567977254081_<23> × 6143203800519931376420641_<25> × 1395900370916327245555441901_<28> × 2685647186330706081032050321_<28> × 2737820036624672031089487008281_<31> × 6060517860310398033985611921721_<31> × 36380545029953205956377406702261_<32> × 754309323029578981494450523147961_<33> × 4832227158939716614468345433242909_<34> × 12573272907559818117031149894949981_<35> × 8109004681767290289973876544869922434872­1_<41> × 7223853560460940439011640209943027480858­51637026401_<51> × 4052019124515366329161607597930173756665­3577978261825599617472901135361_<71> × 1416299915797380934633085871561011683465­0947071716927166725815643512203761_<74> × 3890576401025757952383148172224064194438­3267437992820699295414780582742505383339­8395365869_<90> × [2121180194..._<457>] × [3554791724..._<458>] × [6083217201..._<463>] × [3764430717..._<939>] × [3952638526..._<960>] (23.66%)

10⁴²⁹¹+1 = 1000000000..._<4292> = 11 × 909091 × 470698156887449_<15> × 525484492317740590358333_<24> × 1688298794700739422901790771_<28> × [5384656507..._<585>] × [4447236648..._<3634>] (1.69%)

10⁴²⁹²+1 = 1000000000..._<4293> = 73 × 137 × 233 × 355193 × 61544617 × 21591416633_<11> × 16444765848115921_<17> × 4153901675680083169_<19> × 17468739848498438039329935679794457_<35> × 3203269941631699433842950669924393166558­40979654890345228609_<60> × 9879587347765036607308472984299267446449­2842748785038003856042863807090965021048­0224210297181360032908354907525523774393_<120> × [2407615967..._<4014>] (6.49%)

10⁴²⁹³+1 = 1000000000..._<4294> = 7 × 11 × 13 × 19 × 1459 × 3499 × 51517 × 52579 × 362521 × 2784091 × 70541929 × 2458921051_<10> × 14175966169_<11> × 54137839415767_<14> × 456502382570032651_<18> × 44290253494082068201_<20> × 69425781606782798372407_<23> × 610600386089858349939139_<24> × 917813298871770308465539_<24> × 26526333976234009593263527_<26> × 1726506541339404112893809053099_<31> × 8558521377558885170560719135529_<31> × 9090909090909090909090909090909090909090­909090909091_<52> × [2761219347..._<307>] × [2257833094..._<917>] × [1619423470..._<2751>] (7.45%)

10⁴²⁹⁴+1 = 1000000000..._<4295> = 101 × 52743988481_<11> × 132305743681936841_<18> × 283103523824763409_<18> × 722817036322379041_<18> × 1369778187490592461_<19> × 6255455776531751728208586104565529443495­5453111717816503072219942390838369658841_<80> × 2268130307978157311977782566456392657185­5645918465184155257916165140613107752464­0644151258260029762686434793845331341_<117> × [3567599535..._<4015>] (6.51%)

10⁴²⁹⁵+1 = 1000000000..._<4296> = 11 × 9091 × 25771 × 34361 × 1174705983343_<13> × 1486519116402317_<16> × 17042007778696847013238321_<26> × [1185374568..._<802>] × [3201271791..._<3428>] (1.55%)

10⁴²⁹⁶+1 = 1000000000..._<4297> = 17 × 34369 × 2526049 × 5882353 × 9999999900000001_<16> × [9999999900..._<1424>] × [1151837828..._<2838>] (0.81%)

10⁴²⁹⁷+1 = 1000000000..._<4298> = 11 × 1446497117568019717_<19> × 61539966436292582942184727_<26> × 40852153152984939061927130413_<29> × [2499870639..._<4224>] (1.71%)

10⁴²⁹⁸+1 = 1000000000..._<4299> = 29 × 101 × 281 × 1229 × 121499449 × 8441425501_<10> × 467043606144413071608209_<24> × 86027674152568290007890949_<26> × 141446463506829438063239141_<27> × [2043400618..._<576>] × [8300248574..._<3620>] (2.39%)

10⁴²⁹⁹+1 = 1000000000..._<4300> = 7 × 11 × 13 × 1220917 × 1564837 × 82858927 × 229583797 × 448536520848293_<15> × 10715098361394991651_<20> × 18972745046287149018091_<23> × [1891530474..._<1399>] × [1593648911..._<2814>] (2.04%)

10⁴³⁰⁰+1 = 1000000000..._<4301> = 73 × 137 × 401 × 1201 × 1601 × 350881 × 1676321 × 11472401 × 5964848081_<10> × 8744869958401_<13> × 11370925486801_<14> × 277641151780258438310079109077611969_<36> × 2645778409917434965592366282025495569_<37> × 3899313584979115706106073835294410507621­7_<41> × 3490849329077385901705778402579215381715­0916131843303273_<56> × 1296944190290577505513857711845642744990­75700947656757821537291527196801_<72> × [2850254074..._<667>] × [8765900001..._<3327>] (7.13%)