10⁴⁰⁴⁰¹+1 = 1000000000..._<40402> = 7 × 11 × 13 × 19 × 7237 × 17957 × 52579 × 3547046197_<10> × 17830074841_<11> × 129676256983649_<15> × 851109498533797_<15> × 28313017404044567_<17> × 115299716090157241_<18> × 1246747576119831465234847_<25> × 1632942157382367303385801_<25> × 79802716694341260342754321_<26> × 141735361457816981164214287_<27> × 45360300267343173645804799921_<29> × 9090909090909090909090909090909090909090­90909090909090909090909091_<66> × 2205898426186801989910867313546784882759­26380957742565496334997548411735059_<75> × [6130039539..._<372>] × [1075586074..._<4312>] × [8673048242..._<8827>] × [2819247183..._<26523>] (0.91%)

10⁴⁰⁴⁰²+1 = 1000000000..._<40403> = 101 × 404021 × [2450612740..._<40395>] (0.02%)

10⁴⁰⁴⁰³+1 = 1000000000..._<40404> = 11² × 23 × 4093 × 8779 × 190997 × 242419 × 1777733 × [4759713027..._<3667>] × [2552463235..._<36709>] (0.07%)

10⁴⁰⁴⁰⁴+1 = 1000000000..._<40405> = 73 × 137 × 313 × 6217 × 7841 × 111593 × 574393 × 1101673 × 1580801 × 4889921 × 10727809 × 11176369 × 61544617 × 99990001 × 286569193 × 1033354057_<10> × 7393470241_<10> × 11189053009_<11> × 64365563809_<11> × 207591442241_<12> × 2926220411921_<13> × 3624275167969_<13> × 54615849443593_<14> × 545964236742289_<15> × 9729249786231809_<16> × 16444765848115921_<17> × 31495401976675753_<17> × 117044397238233193_<18> × 603812429055411913_<18> × 7891066544885327833_<19> × 127522001020150503761_<21> × 148029423400750506553_<21> × 203999249597423667193_<21> × 1358074433371719716641_<22> × 291593563046646669491593_<24> × 154543556543181065980759137858553_<33> × 539165208964537291648900107685729_<33> × 6325274402021507450906224122454439230492­01_<42> × 7323941687838105624847742701467683590147­273_<43> × 1469228365475573809046248838110708015796­36649582426027039761_<60> × 7842339718903594605832160720054618017661­7061948406580747828212881_<65> × 1236386443286416000845205982296310762602­9967969207066306934504253853534254947079­69_<82> × 9879587347765036607308472984299267446449­2842748785038003856042863807090965021048­0224210297181360032908354907525523774393_<120> × 3117814097707474151636414249725282442495­4208724815035676374093147018212750972725­1868610676044366881633877582293186191387­9972129_<127> × 7413647414915912456095291913585548438617­2984223253788796799108348614185080440835­1227914193459832509953363475917245566172­9929526151907909705700148668130193294652­504402201795631932236872015298449_<193> × [4286292768..._<553>] × [3375907120..._<793>] × [1501311699..._<1691>] × [2038168097..._<1706>] × [8750993092..._<3414>] × [4816672591..._<10357>] × [1565051389..._<20705>] (2.94%)

10⁴⁰⁴⁰⁵+1 = 1000000000..._<40406> = 11 × 9091 × 48487 × 404051 × 1616201 × 126354517 × 708242436521_<12> × [1483854194..._<8068>] × [2378344927..._<32297>] (0.10%)

10⁴⁰⁴⁰⁶+1 = 1000000000..._<40407> = 101 × 38449 × 46309 × 138841 × 28203389 × 3802416727162854360879394522289_<31> × 1854709277039466195504689386640395344414­1877738854819606028843831344546174591125­3465484730154523123384560237055546861306­6960424330102181268271626236526315595661­8360389_<167> × 5622811333..._<417> × [3581129913..._<39769>] (1.58%)

10⁴⁰⁴⁰⁷+1 = 1000000000..._<40408> = 7 × 11 × 13 × 727327 × 2047289 × 1908422611_<10> × 33165903973_<11> × 16645658989727_<14> × 28503039124187161_<17> × 33414340955312184552929_<23> × 45964481036093414231651_<23> × 18058446911796706514555921077_<29> × [6929266229..._<13360>] × [1162453527..._<26910>] (0.34%)

10⁴⁰⁴⁰⁸+1 = 1000000000..._<40409> = 17 × 5882353 × 48218157643681_<14> × [2073907504..._<40387>] (0.05%)

10⁴⁰⁴⁰⁹+1 = 1000000000..._<40410> = 11 × 103 × 4013 × 80819 × 21993833369_<11> × 7084803855967_<13> × 639357102182491331927527151441_<30> × [1421882866..._<2347>] × [1921106234..._<37999>] (0.16%)

10⁴⁰⁴¹⁰+1 = 1000000000..._<40411> = 61 × 101 × 181 × 3541 × 9901 × 27961 × 53881 × 116741 × 996781 × 1082989 × 1778041 × 1939681 × 4188901 × 14741569 × 39526741 × 528589741 × 617303161 × 1047678641_<10> × 5539645261_<10> × 9226168741_<10> × 14233727449_<11> × 154028453221_<12> × 999999000001_<12> × 1049135680921_<13> × 4001295073681_<13> × 371280853824761_<15> × 454314878228367241_<18> × 4714217554227278101_<19> × 4999437541453012143121_<22> × 1105097795002994798105101_<25> × 2886354458906795587641947282821_<31> × [2804642194..._<852>] × [1561871622..._<1765>] × [4982125732..._<1765>] × [5990519035..._<1774>] × [1374091620..._<3571>] × [2411444852..._<3573>] × [1130708675..._<5354>] × [6536707499..._<10726>] × [2451191911..._<10730>] (0.76%)

10⁴⁰⁴¹¹+1 = 1000000000..._<40412> = 11 × 47 × 139 × 503 × 967 × 2531 × 909091 × 1569936761_<10> × 5213439677_<10> × 224272782521339_<15> × 549797184491917_<15> × 1203881882727712699967_<22> × 4067568702062638144916699_<25> × 17764334637927138067713031681_<29> × 23391028206417273637358380573_<29> × 26199107066180123982979215809_<29> × 2212012955306294098346533984373_<31> × 7775058388319250595762800404689_<31> × 3309383964775818489317002654646529291847_<40> × 2168919673458270805366079489123268990953­8844325990924677397646308082829007403196­5973633772569660745844474775816881614567­23290029877534439668145537718911503_<155> × [1099999890..._<1501>] × [1872102503..._<5458>] × [9090910000..._<33000>] (1.12%)

10⁴⁰⁴¹²+1 = 1000000000..._<40413> = 73 × 137 × 23600609 × 639312909737_<12> × 203504173658297_<15> × [3256466148..._<40375>] (0.09%)

10⁴⁰⁴¹³+1 = 1000000000..._<40414> = 7 × 11 × 13 × 104933 × 1458973 × 909090909090909091_<18> × 12126465188415093889_<20> × 753201806271328462547977919407_<30> × 7955783278516936542385696005567573491557_<40> × [1088960887..._<664>] × [9062006791..._<1397>] × [1099999999..._<12745>] × [9100000000..._<25488>] (0.30%)

10⁴⁰⁴¹⁴+1 = 1000000000..._<40415> = 89 × 101 × 7349 × 56629 × 170369 × 29606281 × 1052788969_<10> × 1056689261_<10> × 13663180477321_<14> × 476103356904941_<15> × 554615079640817581_<18> × 1491164086760128255001869_<25> × 411603787218349354280868589_<27> × 1387401303965667453093373669_<28> × 1986074991324907482421521754547687557692­89_<42> × 2093630887738168146679697488136133045598­06235889961_<51> × 4734221348660905307053477726032095095278­42120964263087241_<57> × 2567913519388976041277665242499108035700­04341949762240760779741_<63> × 1508243026883989551812013800769565119314­9092773167884646166709770422465462163749­312903859494420307404069_<104> × 1121401477221110433681152383767817503966­1021219748532792755132723848484657089955­8676962628229357741668578262708884771183­293753569_<129> × [2478000860..._<3299>] × [7318940137..._<36507>] (1.51%)

10⁴⁰⁴¹⁵+1 = 1000000000..._<40416> = 11 × 1889 × 9091 × 28771 × 96997 × 364393423 × 13546296961_<11> × 117651465889_<12> × 222884971201_<12> × 441651480271681_<15> × 676321006412903_<15> × 18316411815419849_<17> × 385298849463275971_<18> × 1090805842068098677837_<22> × 2353867026803341982771_<22> × 25602601418102182972721_<23> × 193428272579096534429098931_<27> × 803454205095303821868753731_<27> × 218801242136856556680173235529_<30> × 4411922770996074109644535362851087_<34> × 3244569580634956101009646791013296826459­859399717968478099_<58> × 1174468140649914584097264138153408637853­2210829572393992750466905235565987680343­7428443621873715949570886149892572665998­3288086179744161_<136> × [1266286589..._<519>] × [1606927456..._<7850>] × [9091000000..._<31552>] (1.23%)

10⁴⁰⁴¹⁶+1 = 1000000000..._<40417> = 193 × 769 × 19841 × 80833 × 976193 × 6187457 × 139111873 × 26322615397313_<14> × 797488133221249_<15> × 834427406578561_<15> × 1190755637996737_<16> × 1253224535459902849_<19> × 5376349118996722135857554610727903470969­7_<41> × [3424384592..._<13404>] × [1038935667..._<26861>] (0.38%)

10⁴⁰⁴¹⁷+1 = 1000000000..._<40418> = 11 × 859 × 12437 × 33869447 × 1058313049_<10> × 45753952927_<11> × 90812951803289_<14> × 7816020408444847_<16> × 965342691743892569_<18> × 1424009469938975232796518416207_<31> × [1486904186..._<3030>] × [3576323422..._<37275>] (0.28%)

10⁴⁰⁴¹⁸+1 = 1000000000..._<40419> = 29 × 101 × 281 × 11549 × 121499449 × 807733174561_<12> × [1061368818..._<5757>] × [1009999999..._<34633>] (0.07%)

10⁴⁰⁴¹⁹+1 = 1000000000..._<40420> = 7 × 11 × 13 × 19 × 1459 × 1997 × 52579 × 134731 × 700597 × 70541929 × 87062527 × 115565407 × 2458921051_<10> × 12736889173_<11> × 14175966169_<11> × 10595774496973_<14> × 1761645225880931_<16> × 456502382570032651_<18> × 552088553468352674401_<21> × 576128039250271961317_<21> × 610600386089858349939139_<24> × 90423008276017153733438983_<26> × 7016092401376747085885131800303253_<34> × [2697112988..._<441>] × [2352428554..._<934>] × [1813114930..._<2968>] × [8317653492..._<8943>] × [1148599787..._<26885>] (0.62%)

10⁴⁰⁴²⁰+1 = 1000000000..._<40421> = 73 × 137 × 3761 × 70313 × 79337 × 350881 × 485041 × 1676321 × 118710721 × 5964848081_<10> × 6578404633_<10> × 2589644191044553_<16> × 6559070566375577_<16> × 2867443649364054475343041995521_<31> × 169905327561162104198557246291921_<33> × 217374428799954470234641649504081_<33> × 277641151780258438310079109077611969_<36> × 2645778409917434965592366282025495569_<37> × 3899313584979115706106073835294410507621­7_<41> × 3490849329077385901705778402579215381715­0916131843303273_<56> × 2785153893179118281358593228549059682062­3900747164894668499167046712090201879423­948069199442816537475115348268729799177_<119> × [2850254074..._<667>] × [1223296237..._<701>] × [2053364902..._<7667>] × [9999000099..._<30912>] (1.18%)

10⁴⁰⁴²¹+1 = 1000000000..._<40422> = 11 × 167 × 997 × 485053 × 1842809 × 3565183 × 2097307081_<10> × 7742098247001476863_<19> × 46031771059124302914419_<23> × 9431769031413300684826029009602942998788­41_<42> × [1071690314..._<458>] × [2267793416..._<39847>] (0.29%)

10⁴⁰⁴²²+1 = 1000000000..._<40423> = 101 × 9901 × 404221 × [9900990099..._<13472>] × [2498630674..._<26939>] (0.03%)

10⁴⁰⁴²³+1 = 1000000000..._<40424> = 11 × [9090909090..._<40422>] (0.00%)

10⁴⁰⁴²⁴+1 = 1000000000..._<40425> = 17 × 18257 × 808481 × 5882353 × 6173137 × 789592121167489_<15> × 866353530992835497979626513_<27> × 2711533575490636312104255710201930401_<37> × 2212893713887918222645451169509853038253­459532292347577233_<58> × 6606044344042608469102813673650531547087­6521691539886208593210572807339972705125­5954484746381837884289669103543541094033­006584881480446026721_<141> × [3272274125..._<1249>] × [1236887459..._<38875>] (0.75%)

10⁴⁰⁴²⁵+1 = 1000000000..._<40426> = 7³ × 11² × 13 × 23 × 127 × 197 × 211 × 241 × 251 × 331 × 463 × 491 × 1051 × 2161 × 2689 × 3851 × 4093 × 5051 × 5171 × 8317 × 8779 × 9091 × 18131 × 24179 × 34651 × 101641 × 404251 × 459691 × 572419 × 590437 × 909091 × 4147571 × 7444361 × 27581401 × 36360451 × 80073841 × 170873011 × 599144041 × 3612546001_<10> × 4124507971_<10> × 5562667573_<10> × 5650149331_<10> × 11933166001_<11> × 20163494891_<11> × 29970369241_<11> × 183411838171_<12> × 299547376801_<12> × 1501539197401_<13> × 5151849619841_<13> × 5523672970201_<13> × 15334196149801_<14> × 78875943472201_<14> × 117601149473851_<15> × 1661378260814161_<16> × 2622832433505481_<16> × 171395840525121451_<18> × 265212793249617641_<18> × 4539402627853030477_<19> × 10299861994620848651_<20> × 11153763122343284851_<20> × 11943489927822903451_<20> × 323604909570746678491_<21> × 2531669539395619502881_<22> × 3146327779391852182051_<22> × 4597996083328842798451_<22> × 4924630160315726207887_<22> × 4996834775051897824201_<22> × 18276168846821336356291_<23> × 22771401850597648936801_<23> × 124448981774280741575251_<24> × 136094982876222218559943_<24> × 318727841165674579776721_<24> × 19835636682880495867311241_<26> × 3431462343276113938793185801_<28> × 17911809459808314248342142601_<29> × 653518704357372488880162997801_<30> × 1358137502639759693901685682201_<31> × 697584995226846644351713949856887251_<36> × 781096971351185956306280104220477251_<36> × 5076141624365532994918781726395939035533_<40> × 1000009999999998999989999900000000010000­1_<41> × 1051543809110704722613632495009411089889­481_<43> × 1112314101311286003379752617807870409611­285281_<46> × 5240352469572867909569390990706187998335­241601_<46> × 3815465557445576556927066195758955772398­238343771_<49> × 1863670848562011266258031940578523676121­582933240001_<52> × 1491273678477173069027664948012233844398­077028447940172193498801_<64> × 2497196984921216324165698954266700684929­8004553698828087959894069143145851_<74> × 1428571571428571428569999999857142857142­8585714285714285571428557142857142857285­7143_<84> × 2968977772769512973288048599442977679186­2651873860748152980797376212977017452165­562616616651_<92> × 8039566261499250311127571481921649700572­0848358970463128898412464716963453686123­6854805849361_<93> × 9241137585308473837647875304009126599764­6354969374382095286967217633444509064918­2638712486115217201_<99> × 4465913598704727073384813828260919399277­9311307114487270946545676364972087041313­9655504580355083737497402271316272090387­23801_<125> × 1718853138090239733162972996170019720286­9808205600796969972413767579753540276343­4997577528908814962221209301350715566313­549141490281_<132> × 3443418448467037868174732779131913880029­5165383633122627606920790402425397436033­1148938523782918481623963597196523579507­803885921997278081_<138> × 1677390810..._<215> × [4808418242..._<287>] × [1000000099..._<421>] × 1081148355..._<476> × 1908268586..._<795> × 1240497211..._<804> × [2145718166..._<1143>] × [2353502759..._<1641>] × [1604613569..._<1656>] × [1256102222..._<2353>] × [3090188283..._<3340>] × [8372762115..._<8381>] × [4478379972..._<16782>] (10.95%)

10⁴⁰⁴²⁶+1 = 1000000000..._<40427> = 101 × 349 × 2789 × 38861 × 68389 × 88741 × 351289 × 618049 × 28559389 × 68928709 × 1491383821_<10> × 6156085549_<10> × 12464369129_<11> × 2324557465671829_<16> × 2609597531609561_<16> × 16605684883738697689_<20> × 2593073951375446448146801_<25> × 50263868906211981631565189_<26> × 95352041920513968713795611265741_<32> × 36020467013247502214958380113288529_<35> × 1181180637520183640867963573625866958318­7541_<44> × 1447745997018511893740076606031686237538­345362413531560645573104006506749609_<76> × [5498825792..._<862>] × [2050937352..._<1246>] × [1024115196..._<2117>] × [9900990099..._<35840>] (0.90%)

10⁴⁰⁴²⁷+1 = 1000000000..._<40428> = 11 × 565979 × 291640379 × 6920871102234356837_<19> × 5495264234383053229592294317_<28> × [1448138176..._<40366>] (0.15%)

10⁴⁰⁴²⁸+1 = 1000000000..._<40429> = 73 × 137 × 3169 × 26953 × 98641 × 99990001 × 4025658529_<10> × 98928573761_<11> × 26652713672161_<14> × 165686307448393_<15> × 3199044596370769_<16> × [1010729228..._<4478>] × [9217207876..._<8962>] × [2264498029..._<26901>] (0.22%)

10⁴⁰⁴²⁹+1 = 1000000000..._<40430> = 11 × 165171734191774774764462583_<27> × [5503913327..._<40402>] (0.07%)

10⁴⁰⁴³⁰+1 = 1000000000..._<40431> = 101 × 521 × 3541 × 6221 × 27961 × 130621 × 145549 × 1778921 × 2311921 × 30699210569_<11> × 139570909661_<12> × 1926527989361_<13> × 60511946433415661_<17> × 1031498834064949381_<19> × 3657616541562828781_<19> × 12763852652999774041_<20> × 1166896641458602659041_<22> × 1900381976777332243781_<22> × 12119730504567977254081_<23> × 27489992513114011788181_<23> × 20270411022697016392828178929_<29> × 2737820036624672031089487008281_<31> × 650984681718130029836870181208361_<33> × [4884454532..._<592>] × [5488443236..._<1186>] × [4926684022..._<1215>] × [2399265634..._<7384>] × [6936386418..._<14850>] × [2796097203..._<14881>] (0.80%)

10⁴⁰⁴³¹+1 = 1000000000..._<40432> = 7 × 11 × 13 × 80863 × 1944788161619_<13> × [4674498369..._<13464>] × [1358966522..._<26948>] (0.05%)

10⁴⁰⁴³²+1 = 1000000000..._<40433> = 353 × 449 × 641 × 673 × 1409 × 69857 × 161729 × 231041 × 3031489 × 14117153 × 35983288321_<11> × 43735845217_<11> × 157577632097_<12> × 167032623073_<12> × 5486957904737_<13> × 105444742077589793_<18> × 217860610452031121598489279950204653537_<39> × 1559440092962140541006269160037944071573­04353_<45> × 5706094301657058649548236510474470535819­8487226448999934446131233808207036744145­484562761542433_<95> × 5781027809699670982923066276961517370230­7455969310955544852476931077952622715287­1284095883327059481084016222391212804300­2803675468602053212831240543425351530884­548678958775494494557904673_<187> × 1178557371..._<1700> × [2604902337..._<5439>] × [1126887263..._<32815>] (5.39%)

10⁴⁰⁴³³+1 = 1000000000..._<40434> = 11 × [9090909090..._<40432>] (0.00%)

10⁴⁰⁴³⁴+1 = 1000000000..._<40435> = 101 × 829 × 1289 × 9901 × 246121 × 1213021 × 1569889 × 2197501 × 4634089 × 1050960529_<10> × 16448146861_<11> × 18371524594609_<14> × 536430531035337769_<18> × 757108543129939106221_<21> × 2332484668473288079264057189_<28> × 4181003300071669867932658901_<28> × 1910846617679140068129270917199256656502­9_<41> × 9900990099..._<584> × [1727666924..._<1123>] × [9610256257..._<12839>] × [4962422827..._<25680>] (1.96%)

10⁴⁰⁴³⁵+1 = 1000000000..._<40436> = 11 × 9091 × 124863281 × 18678003589638935813_<20> × [3898002539..._<8059>] × [1099989000..._<32345>] (0.08%)

10⁴⁰⁴³⁶+1 = 1000000000..._<40437> = 73 × 137 × 617 × 808721 × 65432160377_<11> × 362858116619657_<15> × 36589712083031898888572803513_<29> × 2623552005321388434037145143121_<31> × 16205834846012967584927082656402106953_<38> × [2870589296..._<3599>] × [1889963631..._<36704>] (0.33%)

10⁴⁰⁴³⁷+1 = 1000000000..._<40438> = 7 × 11 × 13 × 19 × 52579 × 53917 × 1395885241_<10> × 3537919647209_<13> × 22016774315102500517_<20> × 1934529676293140175881_<22> × [6032957457..._<4439>] × [2038134723..._<8980>] × [7171076601..._<26943>] (0.19%)

10⁴⁰⁴³⁸+1 = 1000000000..._<40439> = 101 × 6308329 × 2165859281_<10> × 40292882117587660369_<20> × [1798480450..._<40401>] (0.09%)

10⁴⁰⁴³⁹+1 = 1000000000..._<40440> = 11 × 743 × 283837 × 909091 × 17788583 × 1057997274797_<13> × 9030226874209_<13> × 2584863032795023_<16> × 3338786746233023_<16> × 115166621931423317_<18> × 8333861613298742126117_<22> × 14060959683864286267405933000927102019_<38> × 1570989606264398516186489295496926940315­60694047_<48> × 9090909090909090909090909090909090909090­909090909091_<52> × 1936438332114871929518057885332574185585­8987848620134943_<56> × 2548171182130492354464113595833821781588­0641409868743480754592634023289710402152­43200625902015381883224397137647_<112> × 1352321123248730090708692723609127157649­5159337962861701177848071164846624221419­6619006751660947595648621283774989975906­1263_<124> × [2614183051..._<614>] × [1057711911..._<5587>] × [9090910000..._<33696>] (1.34%)

10⁴⁰⁴⁴⁰+1 = 1000000000..._<40441> = 17 × 5393 × 1083793 × 5070721 × 5882353 × 36935201 × 50792641 × 1116036161_<10> × 1132716961_<10> × 211370320792801_<15> × 9999999900000001_<16> × 19721061166646717498359681_<26> × 281259985248437790051014401_<27> × 696352989671802280143473281_<27> × 31388506438433752927908678241_<29> × [1854255497..._<2685>] × [1325025444..._<5344>] × [1147723474..._<10722>] × [1968789120..._<21497>] (0.48%)

10⁴⁰⁴⁴¹+1 = 1000000000..._<40442> = 11 × 7253 × 17489 × 889703 × 208472263 × 1040304745247_<13> × 422650073734453_<15> × 610834841375813_<15> × 296557347313446299_<18> × [3923825417..._<1053>] × [1236367641..._<39307>] (0.20%)

10⁴⁰⁴⁴²+1 = 1000000000..._<40443> = 101 × 1109 × 17729 × 5911541 × 706277981 × 1537306789_<10> × 496077915001_<12> × 1252336594981_<13> × 16692085818029_<14> × 5774294197526381_<16> × 66580850166860184732329_<23> × 182202742802607835615596881_<27> × 9537037576103752545861071409967321761728­9990894179079867527663488171910160934607­69_<82> × [1121259994..._<481>] × [1009999999..._<39745>] (0.54%)

10⁴⁰⁴⁴³+1 = 1000000000..._<40444> = 7 × 11 × 13² × 103 × 157 × 367 × 859 × 1327 × 4013 × 6397 × 81131 × 216451 × 1698607 × 2453543 × 43107481 × 51745081 × 1058313049_<10> × 2394828281_<10> × 9019855037_<10> × 18438368131_<11> × 21993833369_<11> × 129490154743_<12> × 291078844423_<12> × 388847808493_<12> × 563402487961_<12> × 2412809214499_<13> × 20491367789077_<14> × 21268460590327_<14> × 40498340376691_<14> × 58536138674287_<14> × 344954191876997_<15> × 6691871324185933_<16> × 6917979239326637_<16> × 377526955309799110357_<21> × 70919383630417672662131_<23> × 4258640747595358437053677_<25> × 2016492306990976282439501774196098215666­169_<43> × 4293674404051268505730897152041702807799­0465463_<47> × 3327799391606549896523481221243658725565­6671587921_<50> × 1120522253011683685532152825789043757514­5023592596037161_<56> × 3223223954501479327423165941405274903133­0269145707941726306320382914993613593752­90791990253041841_<97> × 6857573474..._<381> × [7708204487..._<685>] × [1219531794..._<951>] × [9100000000..._<1440>] × 3036636568..._<1841> × [5351979057..._<11514>] × [7862765172..._<23005>] (7.05%)

10⁴⁰⁴⁴⁴+1 = 1000000000..._<40445> = 73 × 137 × 253988321 × 7430371681_<10> × 14277633092321_<14> × [3710872815..._<40409>] (0.09%)

10⁴⁰⁴⁴⁵+1 = 1000000000..._<40446> = 11 × 9091 × 1302976121_<10> × [9090909090..._<8088>] × [8442127084..._<32343>] (0.03%)

10⁴⁰⁴⁴⁶+1 = 1000000000..._<40447> = 29 × 101 × 109 × 281 × 1009 × 9901 × 153469 × 226549 × 404461 × 1492009 × 12187729 × 121499449 × 19815897529_<11> × 23994185041_<11> × 43266855241_<11> × 999999000001_<12> × 1977535165849_<13> × 40882343106721_<14> × 110932350128461_<15> × 4458192223320340849_<19> × 40247123839579941481_<20> × 584652158108982497269_<21> × 59779577156334533866654838281_<29> × 10070868837525352428796400989776525941_<38> × 2569164908474306407837982546400715548833­401_<43> × 1653588207338837707362330155273201758695­93121_<45> × 2290624689643723122789957563362013976604­4690040039603689929_<59> × 3444104493925557919913918425655605272048­57067026484035552706583597118812185729_<78> × 1755885991823397127426735304525660412362­5708155378236163954582400346807794005623­131429977614689_<95> × 2421825498886875706568085804897442030525­2561001802943053838404135749303145829915­5915519733583733897374728100788465877671­5423100656032123324942160620509168628560­523446063044557248001192491268292405581_<199> × [5107362981..._<412>] × [3903574322..._<1193>] × [1000000999..._<1273>] × [1640706755..._<2533>] × [1000000000..._<3817>] × [6610988540..._<7550>] × [9999999999..._<22896>] (1.92%)

10⁴⁰⁴⁴⁷+1 = 1000000000..._<40448> = 11² × 23 × 4093 × 8779 × 728047 × 983219482339_<12> × 14472329178583_<14> × 1442969586696023_<16> × [6407662986..._<3649>] × [1043986388..._<36742>] (0.14%)

10⁴⁰⁴⁴⁸+1 = 1000000000..._<40449> = 80897 × 1514497 × 302078977 × 10431633707318273_<17> × 3611707318387778163302401_<25> × [6051994595..._<473>] × [1184991552..._<39916>] (0.15%)

10⁴⁰⁴⁴⁹+1 = 1000000000..._<40450> = 7 × 11 × 13 × 557 × 2503 × 5312303 × 12797731 × 102527361354613106010527_<24> × 1036412737512256032518509357_<28> × 323338434891034089173475790125293_<33> × 14572843015599488197037677669601442481_<38> × 2742269936605462168329562307947106658888­1_<41> × 1209932983651298761631732103023280632931­43_<42> × 8419113429584745908849632390995169042529­6390505413654926185730285872463_<71> × 6520655709313341698465187621108953571040­3595333062378353092332941289776570384185­9492780362601926814638167836591846272150­911969126521_<132> × 6752774406016845244274826163667530593282­3309390648327259608620272905373094176870­0572367639100644988622177902681645261849­12017881807211_<134> × 9082330292251962304688193151167683450110­1361795433685463732751578239819170875604­9259224485047609714729365430665450971254­1945987920778472370936173919077_<151> × [2070665020..._<13242>] × [9100000000..._<26496>] (1.76%)

10⁴⁰⁴⁵⁰+1 = 1000000000..._<40451> = 101 × 3541 × 27961 × 60101 × 7019801 × 10295334001_<11> × 2268894114049_<13> × 14103673319201_<14> × 1680588011350901_<16> × 832036828482301081_<18> × 22770581027188333021_<20> × 16462891570597994425301_<23> × 24886225679926687861901_<23> × 58395921734603572673648441_<26> × [4363795576..._<1604>] × [7360752798..._<3188>] × [1240223513..._<3214>] × [2394624192..._<16106>] × [9900498007..._<16160>] (0.45%)

10⁴⁰⁴⁵¹+1 = 1000000000..._<40452> = 11 × 4259 × 15614087 × 168276161 × 172250939131_<12> × 909090909090909091_<18> × 137537254457619255028472939_<27> × [9009853423..._<2087>] × [4186523127..._<38289>] (0.19%)

10⁴⁰⁴⁵²+1 = 1000000000..._<40453> = 73 × 137 × 242713 × 99990001 × 1570265737_<10> × 78119843528609809_<17> × [8151209463..._<13454>] × [4120504464..._<26955>] (0.11%)

10⁴⁰⁴⁵³+1 = 1000000000..._<40454> = 11 × 820619 × 909091 × 158009419 × [1107811187..._<5773>] × [6961609611..._<34660>] (0.05%)

10⁴⁰⁴⁵⁴+1 = 1000000000..._<40455> = 101 × 80909 × 2022701 × 530819489 × 52743988481_<11> × 29005626497629_<14> × 7788750761855821_<16> × 132305743681936841_<18> × 6255455776531751728208586104565529443495­5453111717816503072219942390838369658841_<80> × 2268130307978157311977782566456392657185­5645918465184155257916165140613107752464­0644151258260029762686434793845331341_<117> × [2394770832..._<332>] × [2127701015..._<39848>] (0.68%)

10⁴⁰⁴⁵⁵+1 = 1000000000..._<40456> = 7 × 11 × 13 × 19 × 59 × 211 × 241 × 373 × 1117 × 1451 × 2161 × 9091 × 11161 × 16183 × 29611 × 33931 × 44641 × 52579 × 107881 × 155557 × 3762091 × 5733823 × 13700761 × 30104611 × 58765601 × 87194011 × 88137961 × 329060971 × 1134434761_<10> × 2172376081_<10> × 3590254957_<10> × 19893179881_<11> × 70350656881_<11> × 109258059121_<12> × 638453709757_<12> × 728008898249_<12> × 2433146345771_<13> × 3925963357681_<13> × 8985695684401_<13> × 135080726389891_<15> × 524816314748371_<15> × 5167617497664851_<16> × 13593351392903881_<17> × 17996132431060961_<17> × 22672589441232691_<17> × 6271711773186732241081_<22> × 2762580729671077856014459_<25> × 154083204930662557781201849_<27> × 1174705187104089640352756731_<28> × 41038944350435074571651801281_<29> × 909090909090909090909090909091_<30> × 1274194732898148471766404179653_<31> × 2568284027666111786822331496771_<31> × 6548241632713397411808073416931_<31> × 122938451841797902449784503909451_<33> × 183372282864547916749018225828651_<33> × 1783819981751579676826660296718813_<34> × 19139674963189505655771688512382087_<35> × 6811645794372004956047418049529911921_<37> × 5531146644782629936629928146013705871142­91_<42> × 1838190726228124463315819067778696666309­1011_<44> × 3093888678771257769541252942946202755752­229401_<46> × 1158334526259936604206939942487445760921­582415411_<49> × 3092189186638711651761630213691413266133­197806226014052371_<58> × 9786272766548023124601100893556320774114­4491224418517422691228321_<65> × 4266662839057986102285502119162080638872­058454152278425256962985792707796691_<76> × 3086378389952794464452477594457481658796­1449894543876630226127471096483551640405­68369321_<88> × 4857900688365130469291831549890842547443­9173769354062250546461438565798929702369­11030721_<88> × 3419617126180238738338893297973229765943­7730917935891719545686910386309666489481­5555956884183686442687_<102> × 4887054837129490444185770642291712106451­4457084666434832708876218571635120769270­9355690283279269679651852988021899348479­8134507347686651311824503_<145> × [1456650823..._<596>] × [1903525046..._<706>] × [7718379575..._<754>] × [1450959535..._<1659>] × [4605947162..._<3314>] × [6173150837..._<5036>] × [1039514483..._<6679>] × [1000999998..._<20161>] (3.84%)

10⁴⁰⁴⁵⁶+1 = 1000000000..._<40457> = 17 × 1249 × 49297 × 300977 × 648961 × 4126513 × 5882353 × 18124289 × 1460882093441_<13> × 3874716444076129_<16> × 249227787818677482257_<21> × 3336327664384090112747059870264076396700­42305536743429073_<57> × [1766627164..._<3077>] × [1337075121..._<37235>] (0.36%)

10⁴⁰⁴⁵⁷+1 = 1000000000..._<40458> = 11 × 47 × 139 × 2531 × 3771215087_<10> × 4264086887_<10> × 269121038826397_<15> × 549797184491917_<15> × 139947289476288773_<18> × [6400499534..._<1717>] × [2579684769..._<38667>] (0.18%)

10⁴⁰⁴⁵⁸+1 = 1000000000..._<40459> = 89 × 101 × 9901 × 20817481 × 1052788969_<10> × 1056689261_<10> × 5419170769_<10> × 789390798020221_<15> × 2361000305507449_<16> × 2149907130405534590488241_<25> × 504392963324080336398758570422609_<33> × [9130402158..._<1167>] × [4851686858..._<2441>] × [1009999999..._<12241>] × [9901000000..._<24480>] (0.32%)

10⁴⁰⁴⁵⁹+1 = 1000000000..._<40460> = 11 × [9090909090..._<40458>] (0.00%)

10⁴⁰⁴⁶⁰+1 = 1000000000..._<40461> = 73 × 137 × 953 × 1361 × 7841 × 32369 × 371281 × 851761 × 1676321 × 5534929 × 5664401 × 6514537 × 152533657 × 787131281 × 2051807521_<10> × 3078437249_<10> × 3490726961_<10> × 5964848081_<10> × 16647278561_<11> × 183116258609_<12> × 2335096556321_<13> × 820373271644401_<15> × 127522001020150503761_<21> × 1045283071843034979179681_<25> × 288903890273932269026126209_<27> × 4821233048302009490154033911787593_<34> × 5755688257834164718515359898601696418520­1_<41> × 6555274617188258326423007086888436687780­3237222654400793_<56> × 3706128023114119218916379460291345996769­984434163189932241_<58> × 1174155661036370531158387153086358732085­7611583542802499879661077461752756934163­45665039841_<91> × 2518939361843542777324186815596987183284­7616402602493165089012697837571522380171­1824591828829715475342255247346366961412­2198237833353657872273444231835817866237­166090882172690592655745121_<187> × 1563539502..._<295> × [6140297287..._<1041>] × [9565829935..._<1512>] × [3135742611..._<4315>] × [2720332848..._<6508>] × [5057432893..._<26096>] (2.45%)

10⁴⁰⁴⁶¹+1 = 1000000000..._<40462> = 7 × 11 × 13 × 5206204912003093_<16> × 81688131550945903_<17> × [1112880037..._<13470>] × [2110752683..._<26957>] (0.09%)

10⁴⁰⁴⁶²+1 = 1000000000..._<40463> = 101 × 13910310477851929_<17> × [7117734801..._<40444>] (0.04%)

10⁴⁰⁴⁶³+1 = 1000000000..._<40464> = 11 × 5647 × 7529 × 3732007 × 16646291 × 57009401 × 2182600451_<10> × 1488205104979_<13> × 185527464302183_<15> × 53416526888490047_<17> × 7306116556571817748755241_<25> × 1044226274022390099513010941863_<31> × 6170523838..._<872> × [3984021617..._<39454>] (2.49%)

10⁴⁰⁴⁶⁴+1 = 1000000000..._<40465> = 97 × 353 × 449 × 641 × 1409 × 13249 × 69857 × 206209 × 1067329 × 33270401 × 66554101249_<11> × 75118313082913_<14> × 44109927375706369_<17> × 27926093317099928737_<20> × 3893626303011815046971521_<25> × 7071614705525771137412357579842860859021­9877617672752248112085912824160137075376­116481_<86> × [7719473800..._<4448>] × [3580880392..._<8941>] × [2267063356..._<26864>] (0.52%)

10⁴⁰⁴⁶⁵+1 = 1000000000..._<40466> = 11 × 9091 × 97117 × 1020058097574576146276921_<25> × [9176712985..._<8063>] × [1099989000..._<32369>] (0.08%)

10⁴⁰⁴⁶⁶+1 = 1000000000..._<40467> = 101 × 2317083161_<10> × [4273040461..._<40455>] (0.03%)

10⁴⁰⁴⁶⁷+1 = 1000000000..._<40468> = 7² × 11 × 13 × 127 × 659 × 739 × 2689 × 6299 × 34687 × 148339 × 344887 × 459691 × 909091 × 1575253 × 1618681 × 4624801 × 7489357 × 9127213 × 16419517 × 22873327 × 34809329 × 1309140169_<10> × 2142992167_<10> × 7462843207_<10> × 381253296409_<12> × 19214818177409_<14> × 4855067598095567_<16> × 2670502781396266997_<19> × 1160803383934463712259_<22> × 3404193829806058997303_<22> × 2227500794590370844147583_<25> × 297262705009139006771611927_<27> × 6331512614238234077508187988343438690524­7847_<44> × 3007356627055904894814255974151270879659­0524703892560552659_<59> × 6105179603552296927117127487655417850454­4683763248923853725596423_<65> × 5724747847..._<227> × 1669195584..._<274> × [2154768431..._<396>] × [3599365949..._<530>] × [3160072404..._<1833>] × [1487880302..._<3658>] × [5616245572..._<11034>] × [1472496417..._<22071>] (2.34%)

10⁴⁰⁴⁶⁸+1 = 1000000000..._<40469> = 73 × 137 × 5072393 × 23954641 × 27316505681_<11> × 179093946929_<12> × 1885596633278764718883633156859928453117­74522520360566601659121_<63> × 1083931224855529288843363709480842047163­1769022740820189046352816521272769520589­2706957878856003556674951264580888994601­3865548858442895580378678360552528197692­322041991044570589569_<181> × [8229131674..._<586>] × [1000099999..._<39601>] (0.70%)

10⁴⁰⁴⁶⁹+1 = 1000000000..._<40470> = 11² × 23 × 859 × 1699 × 4093 × 8779 × 14717 × 51767 × 241117 × 1058313049_<10> × 22144088539_<11> × 264752347289_<12> × 5437513665299_<13> × 29631394714247_<14> × 5031537408893579_<16> × 104438313801067819_<18> × 104730101107272149081_<21> × 41957106050157390686441_<23> × 13478805583322152953257717_<26> × 3197838295350890098487501692066693_<34> × 60679993426051204677628074865732853_<35> × 61945573305222690279363663578823967_<35> × 4901999948893733786655871555821130375092­5973449_<47> × 1511683480129204931881648121504080561751­48228488823_<51> × 3460752460920951256221365127056152886287­9196390936320471942325254862879783_<74> × 4834389726736518293852244130660191969670­7976106339486456947619775581596788967635­9171209724331727292029682663034137421755­3659008741548305187653_<142> × [2685248171..._<2714>] × [1791884616..._<3325>] × [1671887125..._<33828>] (1.49%)

10⁴⁰⁴⁷⁰+1 = 1000000000..._<40471> = 61 × 101 × 229 × 569 × 761 × 1901 × 2281 × 3041 × 3541 × 4261 × 4789 × 7669 × 9901 × 16189 × 20521 × 26981 × 27961 × 74861 × 501829 × 2006461 × 4188901 × 5900101 × 7594681 × 39526741 × 70532941 × 304077901 × 417332341 × 211592942161_<12> × 4868156696881_<13> × 52875286008709_<14> × 159041470461121_<15> × 481612717573381_<15> × 3685902392604541_<16> × 4792272926759141_<16> × 10010725717220461_<17> × 22274389939124501_<17> × 380623849488714809_<18> × 722817036322379041_<18> × 739653893349540289_<18> × 1369778187490592461_<19> × 9234177915412657069_<19> × 19555558064017300301_<20> × 9025836525591423620461_<22> × 33950736420661075851541_<23> × 3988107351414007354990781_<25> × 9986944549901581065584141_<25> × 117008737749609201563737321_<27> × 14634428294824755331225520581_<29> × 780548018657747948342675331841_<30> × 7716926518833508778689508504941_<31> × 93611382287513950329431625811490669_<35> × 4581921817207406357730186303139529968338­01_<42> × 2054722677878217012053943008368973039472­7567536361_<50> × 8251988265906196670876248348671944663928­8430446081_<50> × 7312450902727148431531255562144151653712­9810417701929303321_<59> × 1019565337940092848007651314591723919437­80858147641273764890861_<63> × 7911455680788561378724080966363146223318­69565265096415358925771275309_<69> × 8434076448895884090154730247588666652981­1813895692926355428938263402850925593545­7469_<84> × 2121737118648770333236782632116609823173­9372213846419980644225330979026854386527­7137628690401_<93> × 1012531972525467393916969609297706772253­4551717272179349844665391141452436679933­3412935173798585607285941_<105> × 1500689937189360385882272445743664042858­8451363944437498266308590146323769827407­5317154251769989823397761_<105> × 1164958742808846733345652207636193751322­2128448042812240541046462856832267211932­5732998544902138818624402961_<108> × 2479503281722940501367544815389514091903­6407567496007123339403878447481786735241­5168199452660754962688866321901_<111> × 2859630412262063113306113917115997858472­5763988521370207649767352230323222493675­0935434718801814395392073004693475240524­1_<121> × [6633009548..._<553>] × 5937415717..._<557> × [1009999999..._<2521>] × [6412259730..._<4989>] × [2738585728..._<5020>] × [1972982828..._<5035>] × [5105238976..._<10053>] × [2555229612..._<10081>] (5.49%)

10⁴⁰⁴⁷¹+1 = 1000000000..._<40472> = 11 × [9090909090..._<40470>] (0.00%)

10⁴⁰⁴⁷²+1 = 1000000000..._<40473> = 17 × 5585137 × 5882353 × [1790466357..._<40458>] (0.04%)

10⁴⁰⁴⁷³+1 = 1000000000..._<40474> = 7 × 11 × 13 × 19 × 52579 × 170887 × 4263157 × 70541929 × 13848403573_<11> × 14175966169_<11> × 32636455849_<11> × 3340627902019_<13> × 7665045480721_<13> × 20353774330957_<14> × 836091576253125037_<18> × [2613685534..._<1480>] × [1098901098..._<2997>] × 8406608028..._<8951> × [2886573115..._<26931>] (22.40%)

10⁴⁰⁴⁷⁴+1 = 1000000000..._<40475> = 29 × 101 × 281 × 485689 × 3469201 × 18872449 × 68921441 × 121499449 × 430148941 × 164239245397576189_<18> × 5984418359912710034809254001_<28> × 9999999999999900000000000000999999999999­9900000000000000999999999999990000000000­0001_<84> × 2301758566693739922539762779746120311824­9662502388680738607258133387102794008715­4579555293851089822885094561_<108> × [9999999999..._<588>] × [1465436568..._<689>] × [2552233060..._<4831>] × [1253616764..._<34082>] (0.71%)

10⁴⁰⁴⁷⁵+1 = 1000000000..._<40476> = 11 × 251 × 5051 × 9091 × 48571 × 7259597 × 61522001 × 231517001 × 10273526401_<11> × 15418627451_<11> × 78875943472201_<14> × 2785947289330451_<16> × 5266602059653805527_<19> × 330540039454405022087_<21> × 2700673176690155379491_<22> × 4357794452332076047637_<22> × 4943998794769991229999491_<25> × [1650720259..._<1551>] × [1696136929..._<6422>] × [1590936518..._<32309>] (0.48%)

10⁴⁰⁴⁷⁶+1 = 1000000000..._<40477> = 73 × 137 × 80953 × 99990001 × 3661078485601_<13> × 13292181672073_<14> × 169845527280313_<15> × 634543901924051489_<18> × 6854085654228111337_<19> × [1575777510..._<13471>] × [2180728150..._<26913>] (0.23%)

10⁴⁰⁴⁷⁷+1 = 1000000000..._<40478> = 11 × 103 × 4013 × 219053 × 242863 × 14490767 × 21993833369_<11> × 3883515620716183_<16> × 36121247206357823_<17> × [1148934768..._<2359>] × [8048499103..._<38052>] (0.17%)

10⁴⁰⁴⁷⁸+1 = 1000000000..._<40479> = 101 × 149 × 3109 × 21881 × 111149 × 708840373781_<12> × 121099359403201_<15> × 7943896519280802569_<19> × 669031686661427842829_<21> × 1130796672825155022556869301_<28> × 40548140514062774758071840361_<29> × [4159599468..._<1028>] × [1009999999..._<39313>] (0.34%)

10⁴⁰⁴⁷⁹+1 = 1000000000..._<40480> = 7 × 11 × 13 × 263 × 619 × 1237 × 10065779 × 44092859 × 78447517 × 102860539 × 984385009 × 1397382241_<10> × 64411561087_<11> × 306662501757259_<15> × 612053256358933_<15> × 182725114866521155647161_<24> × 525786373041914526306757_<24> × 112506283680098168752627601991569_<33> × 1471865453993855302660887614137521979_<37> × 1363608083180796048411168783196497071688­492468691_<49> × 2247064574420005776288509534269789472160­5325430609487291715500041029950763944163­993319007373686738769124162721892380653_<119> × 6233957723107455202541780062721990239960­9765276523884060897664718644575416179222­1257665658786839783405659554678742261816­36354165574411_<134> × 1775284489..._<202> × [1092811594..._<13254>] × [1412789854..._<26510>] (1.77%)

10⁴⁰⁴⁸⁰+1 = 1000000000..._<40481> = 16193 × 19841 × 35201 × 88321 × 976193 × 6187457 × 25687873 × 95589121 × 186531841 × 21244227841_<11> × 23447080358593_<14> × 834427406578561_<15> × 522598269188152961_<18> × 30942987586585490641217_<23> × 53215260047387609436459521_<26> × 26670033927811409112897180097_<29> × 120607680138395152912645265281_<30> × 275568764703416069789958894913_<30> × 222688353792418778799593928777532880641_<39> × 3162086824598326714007856976523611232833_<40> × 1964921068627143245631030869023344815967­41493532094589569_<57> × 9999999999999999999999999999999900000000­0000000000000000000000009999999999999999­9999999999999999000000000000000000000000­00000001_<128> × 1155769568319416848232879884038923230156­6128542366996816904708940827856565218146­3740087715495531620984715848743338424468­8679028278097388037431233_<145> × [4565408279..._<645>] × [4715129225..._<1221>] × [2127648265..._<2786>] × [6175507935..._<7036>] × [2523516059..._<28142>] (1.61%)

10⁴⁰⁴⁸¹+1 = 1000000000..._<40482> = 11 × 909091 × 1208195927_<10> × 18359903099_<11> × 285823050763853_<15> × 6638733524755459_<16> × 1365879298832203247_<19> × 1291578491301365747288002169_<28> × 153285459447931452495523832647_<30> × [2070035525..._<5707>] × [4244219454..._<34644>] (0.32%)

10⁴⁰⁴⁸²+1 = 1000000000..._<40483> = 101 × 521 × 3121 × 6229 × 9901 × 78889 × 206909 × 7448689 × 999999000001_<12> × 53397071018461_<14> × 19368443729478869_<17> × 19855343455987682761_<20> × 244742578244977884949_<21> × 1900381976777332243781_<22> × 11761957262582764997761_<23> × 267736665859843294854689_<24> × 9970640571320679438520961989_<28> × 6060517860310398033985611921721_<31> × 117609798518967483441609863271124249_<36> × 7228985127862038010429519200208428060814­5936427715050154509673765832901166663194­5714409_<87> × [5126970743..._<300>] × [4229599275..._<640>] × [1000000999..._<2065>] × [1823199282..._<4100>] × [1329227196..._<8250>] × [9999990000..._<24768>] (0.89%)

10⁴⁰⁴⁸³+1 = 1000000000..._<40484> = 11 × 1145021173_<10> × 4381113573536220757_<19> × [1812213184..._<40455>] (0.07%)

10⁴⁰⁴⁸⁴+1 = 1000000000..._<40485> = 73 × 137 × 233 × 30713 × 355193 × 1538393 × 8188937 × 21591416633_<11> × 17468739848498438039329935679794457_<35> × 3203269941631699433842950669924393166558­40979654890345228609_<60> × [3975637725..._<1381>] × [6500939616..._<38970>] (0.33%)

10⁴⁰⁴⁸⁵+1 = 1000000000..._<40486> = 7 × 11 × 13 × 211 × 241 × 2161 × 9091 × 728731 × 69261739 × 442250318299_<12> × 7750244403426281_<16> × 74717567754635372799249973_<26> × [9090909090..._<2698>] × [4801471285..._<5351>] × [1419295886..._<10777>] × [1248758595..._<21579>] (0.20%)

10⁴⁰⁴⁸⁶+1 = 1000000000..._<40487> = 101 × 2049349 × 412197562489_<12> × 4831285495545122373055545883590398223973­07149685578249_<54> × [2402001127..._<1293>] × [1009999999..._<39121>] (0.18%)

10⁴⁰⁴⁸⁷+1 = 1000000000..._<40488> = 11 × 123833133331_<12> × [7341257421..._<40475>] (0.03%)

10⁴⁰⁴⁸⁸+1 = 1000000000..._<40489> = 17 × 113 × 337 × 26993 × 196657 × 2996113 × 3192769 × 5882353 × 8061970561_<10> × 45018225457_<11> × 10651311851377_<14> × 9999999900000001_<16> × 158795534476793873_<18> × 405186065377504321_<18> × 73765755896403138401_<20> × 119968369144846370226083377_<27> × 2070270028985341766616009080161_<31> × 1433319827159466789806966856379479179916­136529424792832495021393_<64> × [3132077485..._<1914>] × [1129541580..._<3825>] × [7141917926..._<11471>] × [3133564990..._<23021>] (0.64%)

10⁴⁰⁴⁸⁹+1 = 1000000000..._<40490> = 11 × 3754823 × 4372813 × 13118437 × 6583082459938891_<16> × 909090909090909091_<18> × 394904523569219908607969_<24> × [4673515020..._<2093>] × [3821223892..._<38318>] (0.19%)

10⁴⁰⁴⁹⁰+1 = 1000000000..._<40491> = 101 × 3541 × 27961 × 7855061 × 291851921 × 4045679821_<10> × 6469690445113501_<16> × [9900990099..._<8096>] × [3856059024..._<16167>] × [4365063558..._<16177>] (0.13%)

10⁴⁰⁴⁹¹+1 = 1000000000..._<40492> = 7 × 11² × 13 × 19 × 23 × 4093 × 8779 × 52579 × 53171 × 426997 × 3813517 × 599144041 × 1008741241_<10> × 7093127053_<10> × 183411838171_<12> × 7833811446444211_<16> × 1358791302758702868906124409_<28> × 1889142577340213131496648834727637_<34> × 1070453760938027595699552600393152583819­019423_<46> × 1411225248778861822822335393177961449383­05111168717_<51> × 8990933218232263717426741276678007309187­4834080069255427757_<59> × 1399506617..._<318> × [1299085706..._<747>] × [3254009603..._<2403>] × [1099999999..._<4081>] × [9100000000..._<8160>] × [9990010000..._<24480>] (1.54%)

10⁴⁰⁴⁹²+1 = 1000000000..._<40493> = 73 × 137 × 18233 × 161969 × 67406298457_<11> × 1488067111584049_<16> × 899319337247551841_<18> × 23641392997940421257_<20> × 8464809710844890517494016141257_<31> × 5446917923904711630084568262371769716257­7784999950014081337618457_<65> × 4721039325728010820594679541353546669967­335225378893722566311366791400472881_<76> × [7293021137..._<724>] × [1000099999..._<39521>] (0.61%)

10⁴⁰⁴⁹³+1 = 1000000000..._<40494> = 11 × 4375025693_<10> × 10399169303_<11> × [1998149866..._<40473>] (0.05%)

10⁴⁰⁴⁹⁴+1 = 1000000000..._<40495> = 101 × 409 × 3061 × 9901 × 80989 × 404941 × 5969449 × 28559389 × 134703241 × 944320081 × 1491383821_<10> × 24865340701_<11> × 115749143423929_<15> × 225974065503889_<15> × 2324557465671829_<16> × 5772915624912581_<16> × 5302010404356240860260141_<25> × 11510988848607501415710169_<26> × 44398000479007997569751764249_<29> × [1715076183..._<777>] × [8774215693..._<1559>] × [8112732547..._<12628>] × [2608215593..._<25320>] (0.52%)

10⁴⁰⁴⁹⁵+1 = 1000000000..._<40496> = 11 × 131 × 179 × 859 × 3739 × 9091 × 100927 × 909091 × 1096481 × 4147571 × 4600411 × 4688699 × 11830771 × 21705503 × 317384681 × 762509281 × 1058313049_<10> × 6760092011_<10> × 2475034612051_<13> × 64825980222251_<14> × 440539712183663_<15> × 1081846114760321_<16> × 12147237304901893_<17> × 46205575684179731_<17> × 265212793249617641_<18> × 123474591212464107593251_<24> × 332073601264920920030201_<24> × 13378213694776381948129147625293_<32> × 8396862596258693901610602298557167100076­327481_<46> × 1436873849910900920727661771706585602938­4012938971_<50> × 5009499553764433156007921686514205741644­754894222691_<52> × 8085529463454134100970957657118926449470­3351351547829906051_<59> × 6308599667036354241463828431077328354879­98079409968772589281_<60> × 5067838741170388910175912578529043989438­9920385627096501794498837_<65> × 4180967272673252032291190917188955510245­874180001164839931077197586653_<70> × 4578874233436492255420074091728599390739­7013371281056728412584574199675937386727­3776063406076463623091465305278231306233­9754313662352611_<136> × 1466817919595327188231351160432180116180­2135429614673632851403034957825865582773­9679483747341180926907303679883240476304­5989876001215861751553184924252035281973­147552669068625063450431325422201_<193> × [6216951209..._<513>] × [8222323436..._<1025>] × [7008055661..._<2099>] × [1839151184..._<4202>] × [1671262611..._<6299>] × [1099988890..._<25345>] (2.51%)

10⁴⁰⁴⁹⁶+1 = 1000000000..._<40497> = 353 × 449 × 641 × 1409 × 69857 × 3239681 × 62160524405537_<14> × 2623313785622841313_<19> × [1892922528..._<40442>] (0.14%)

10⁴⁰⁴⁹⁷+1 = 1000000000..._<40498> = 7 × 11 × 13 × 7478447 × 1093928216316378601_<19> × [1111237964..._<13474>] × [1098901098..._<26997>] (0.07%)

10⁴⁰⁴⁹⁸+1 = 1000000000..._<40499> = 101 × 242989 × 40740989 × [1000139189..._<40484>] (0.04%)

10⁴⁰⁴⁹⁹+1 = 1000000000..._<40500> = 11 × 1180059863_<10> × [7703769423..._<40489>] (0.02%)

10⁴⁰⁵⁰⁰+1 = 1000000000..._<40501> = 73 × 137 × 401 × 1201 × 1601 × 3169 × 24001 × 32401 × 98641 × 1188001 × 1378001 × 1676321 × 1684801 × 2160001 × 31272001 × 68562937 × 99990001 × 113850001 × 265183201 × 852826321 × 5964848081_<10> × 14089144050001_<14> × 14767753476961_<14> × 68667861240001_<14> × 72132253909201_<14> × 321473851171201_<15> × 324855317988001_<15> × 1508102541594001_<16> × 3199044596370769_<16> × 11025881611767712801_<20> × 178601070881582358375601_<24> × 1589729181144791629795921_<25> × 271453337030306516600466001_<27> × 100009999999899989999000000010001_<33> × 1726290008991504500177463302688697_<34> × 4711806100010561082466291127577601_<34> × 95853807664312827399794371014650641_<35> × 579276943498154282123686999881829009033_<39> × 4359992252543206482185083495172767980765­7_<41> × 1216057084775405433757097429262954022602­494154001_<49> × 4482637729513780747000872935673625025127­940754401_<49> × 3934092998504003793986055051156601020217­3435808159761_<53> × 1296944190290577505513857711845642744990­75700947656757821537291527196801_<72> × 1461236573124057038200579394128634953625­7260783370326347124974631092755601_<74> × 3345221423650844757330057887630696655974­2891484387246195383469010412091448793471­5334187622132844561179868971005307865589­6960934716754311764809081946966357559506­57968289_<168> × [6771510653..._<275>] × 3023577677..._<390> × [1432241739..._<395>] × [6860965463..._<743>] × [7375921026..._<831>] × [1831064536..._<1394>] × [4629627486..._<2394>] × [5935419079..._<4314>] × [2591153927..._<7180>] × [7097663253..._<21587>] (3.43%)