10⁴³⁴⁰¹+1 = 1000000000..._<43402> = 7 × 11 × 13 × 47 × 103 × 139 × 223 × 1259 × 2531 × 4013 × 4663 × 7253 × 30637 × 31051 × 56611 × 347209 × 714841 × 2955961 × 11605939 × 40538237 × 208903481 × 2140571729_<10> × 21993833369_<11> × 34107023059_<11> × 37633218241_<11> × 291078844423_<12> × 293448558811_<12> × 837042695779_<12> × 2348555453641_<13> × 3586448252081_<13> × 9101279023169_<13> × 143574021480139_<15> × 422650073734453_<15> × 549797184491917_<15> × 6507127247862139_<16> × 296557347313446299_<18> × 135854006382839702339_<21> × 377526955309799110357_<21> × 161293576452574036129333_<24> × 24649445347649059192745899_<26> × 5718695187661520881538869249_<28> × 21606064498691505246200058094681_<32> × 48911689110891303706174193415115219_<35> × 473608692432035450677211738101499095303_<39> × 1071693871..._<275> × [1793204977..._<541>] × [1901064414..._<665>] × [3270801938..._<739>] × [5477830437..._<1136>] × [7840813225..._<1577>] × [4351726954..._<12664>] × [1426049232..._<25313>] (1.77%)

10⁴³⁴⁰²+1 = 1000000000..._<43403> = 101 × 37933349 × [2610101760..._<43393>] (0.02%)

10⁴³⁴⁰³+1 = 1000000000..._<43404> = 11 × 520837 × [1745442257..._<43397>] (0.02%)

10⁴³⁴⁰⁴+1 = 1000000000..._<43405> = 73 × 137 × 289361 × 99990001 × 10403938801_<11> × 3951531613433_<13> × 149162837460001_<15> × 1674878018560961_<16> × 7085115341119817_<16> × [4940380190..._<14401>] × [9612705525..._<28918>] (0.20%)

10⁴³⁴⁰⁵+1 = 1000000000..._<43406> = 11 × 9091 × 137189315401_<12> × [6626543083..._<8669>] × [1099989000..._<34721>] (0.04%)

10⁴³⁴⁰⁶+1 = 1000000000..._<43407> = 89 × 101 × 39461 × 28995209 × 280750009 × 1052788969_<10> × 1056689261_<10> × 34994034309389_<14> × 1419246469550890368589_<22> × [1767879732..._<3919>] × [3545531417..._<39411>] (0.18%)

10⁴³⁴⁰⁷+1 = 1000000000..._<43408> = 7² × 11 × 13² × 19 × 127 × 157 × 743 × 859 × 2689 × 3499 × 6397 × 24571 × 52579 × 102103 × 216451 × 227371 × 280099 × 362521 × 459691 × 461917 × 530531 × 909091 × 1624663 × 2784091 × 5274739 × 15452893 × 21705503 × 60034573 × 299090767 × 526607047 × 629929063 × 1058313049_<10> × 388847808493_<12> × 1057997274797_<13> × 8719788022219_<13> × 26579875017931_<14> × 54137839415767_<14> × 719772588447823_<15> × 2584863032795023_<16> × 155312988700782823_<18> × 107903069457446819028409_<24> × 917813298871770308465539_<24> × 12784978043570445859284139_<26> × 26526333976234009593263527_<26> × 189772422673235585874485732659_<30> × 8558521377558885170560719135529_<31> × 14919407400114262321144007171761_<32> × 1570989606264398516186489295496926940315­60694047_<48> × 9090909090909090909090909090909090909090­909090909091_<52> × 3609680015682889556828657822481825871981­7914995401933354161_<59> × 5067838741170388910175912578529043989438­9920385627096501794498837_<65> × 2548171182130492354464113595833821781588­0641409868743480754592634023289710402152­43200625902015381883224397137647_<112> × 1352321123248730090708692723609127157649­5159337962861701177848071164846624221419­6619006751660947595648621283774989975906­1263_<124> × 8912569571903773640423787742857701624820­8359196996259570335036011683389233510270­8227868827645523726121474392613340538475­7726021771250608797_<139> × [2761219347..._<307>] × [7609917926..._<366>] × [9100000909..._<624>] × [1099999999..._<625>] × [4665697527..._<1198>] × [3011532890..._<1855>] × [1965127192..._<3726>] × [6148973664..._<3738>] × [9830044507..._<7456>] × [6477751441..._<22457>] (2.44%)

10⁴³⁴⁰⁸+1 = 1000000000..._<43409> = 353 × 449 × 641 × 1409 × 69857 × 2344033 × 10612189725889_<14> × [4020048315..._<43373>] (0.08%)

10⁴³⁴⁰⁹+1 = 1000000000..._<43410> = 11 × 167 × 997 × 2951813 × 3565183 × 2097307081_<10> × 3920488472716099_<16> × 7742098247001476863_<19> × 9431769031413300684826029009602942998788­41_<42> × [2318820512..._<507>] × [3726523326..._<42798>] (0.24%)

10⁴³⁴¹⁰+1 = 1000000000..._<43411> = 61 × 101 × 3541 × 9901 × 27961 × 34729 × 57881 × 260461 × 4188901 × 39526741 × 197202949 × 6030951301_<10> × 177362581141_<12> × 179147166241_<12> × 7663239928547501_<16> × 1097989855863400861_<19> × 32287503462773749669_<20> × 33128212965386266729_<20> × 6553507400152355650562173436221_<31> × [1122990068..._<2853>] × [8854481312..._<5745>] × [7368072628..._<5752>] × [3576409999..._<5784>] × [3860425696..._<11538>] × [8471598495..._<11551>] (0.44%)

10⁴³⁴¹¹+1 = 1000000000..._<43412> = 11 × [9090909090..._<43410>] (0.00%)

10⁴³⁴¹²+1 = 1000000000..._<43413> = 73 × 137 × 288466309566861546881_<21> × [3466262703..._<43388>] (0.06%)

10⁴³⁴¹³+1 = 1000000000..._<43414> = 7 × 11 × 13 × 59 × 1997 × 520957 × 115565407 × 638453709757_<12> × 10595774496973_<14> × 135080726389891_<15> × 1761645225880931_<16> × 18152156370337253647_<20> × 576128039250271961317_<21> × 90423008276017153733438983_<26> × 154083204930662557781201849_<27> × 1274194732898148471766404179653_<31> × 7016092401376747085885131800303253_<34> × [2697112988..._<441>] × [2352428554..._<934>] × [1163221935..._<13920>] × [9100000000..._<27888>] (0.53%)

10⁴³⁴¹⁴+1 = 1000000000..._<43415> = 29 × 101 × 281 × 520969 × 121499449 × 47887812701_<11> × 485230550309_<12> × 210298668471029607281849_<24> × 1715636541285455667635429_<25> × 11480901432082491474467669_<26> × 9999999999999900000000000000999999999999­9900000000000000999999999999990000000000­0001_<84> × [5771030087..._<860>] × [4183202250..._<5256>] × [8260664444..._<37100>] (0.46%)

10⁴³⁴¹⁵+1 = 1000000000..._<43416> = 11 × 9091 × 2804755241_<10> × 199276489717_<12> × 933702992891_<12> × 1506796329811_<13> × 1812604116731_<13> × 94817351931121_<14> × 121450506296081_<15> × 176372564354887_<15> × 909090909090909091_<18> × 202025064384481925339_<21> × 115198670490331891663813237_<27> × 52601832472617475839289969733_<29> × 4996731930447843676185843959746621491531­100801_<46> × [1626508293..._<436>] × [1242486758..._<1799>] × [3381064902..._<8107>] × [9091000000..._<32832>] (0.56%)

10⁴³⁴¹⁶+1 = 1000000000..._<43417> = 17 × 433 × 1297 × 3217 × 8929 × 77761 × 408433 × 1010897 × 1215649 × 1505089 × 4374833 × 5882353 × 20135377 × 30297889 × 692591329 × 2342167489_<10> × 591445912177_<12> × 2929274744593_<13> × 1779595985858833_<16> × 9999999900000001_<16> × 825581381912890513_<18> × 491413179769291800875985377355914924161_<39> × 1119946242580356142905139433307201254339­79169_<45> × 4232900250529425111937171375069484185923­9120433_<47> × 1110266584647997728109718848212718399455­29173378999198369_<57> × [1397229892..._<408>] × [2399498265..._<500>] × [7239810604..._<1012>] × [3299727322..._<3155>] × [5619252953..._<9489>] × [8226058673..._<28506>] (0.80%)

10⁴³⁴¹⁷+1 = 1000000000..._<43418> = 11² × 23 × 4093 × 8779 × 1491967 × 2305049 × 104200801 × 191468971 × [2643430737..._<3934>] × [5513447257..._<39444>] (0.09%)

10⁴³⁴¹⁸+1 = 1000000000..._<43419> = 101 × 383101 × 19103921 × 28559389 × 1491383821_<10> × 2324557465671829_<16> × [2584433373..._<2547>] × [5286872783..._<40825>] (0.11%)

10⁴³⁴¹⁹+1 = 1000000000..._<43420> = 7 × 11 × 13 × 739 × 148339 × 318407 × 16419517 × 1006029527_<10> × 2670502781396266997_<19> × 3313892317640456569_<19> × 3404193829806058997303_<22> × 5654000177636083959487421885693964261705­0503_<44> × 6105179603552296927117127487655417850454­4683763248923853725596423_<65> × [1598235487..._<300>] × [3316043472..._<686>] × [3454697918..._<14075>] × [9100000000..._<28160>] (0.46%)

10⁴³⁴²⁰+1 = 1000000000..._<43421> = 73 × 137 × 121577 × 224449 × 521041 × 705409 × 1580801 × 1676321 × 238115281 × 264323593 × 5964848081_<10> × 16495534672241_<14> × 844636593424081_<15> × 1921752617028724103640763466297_<31> × 2853232205324301383436002110403681_<34> × 120920505705101252491925533049923433521_<39> × 402732350235867873516535246754642790481_<39> × 6325274402021507450906224122454439230492­01_<42> × 1750670387248635638548480451079633036111­28869041_<48> × 6279815040943032407714418831204387527919­360005277361_<52> × 7523020307427066273763456609903850552762­967576510974081_<55> × [3286248647..._<623>] × [1742806414..._<2600>] × [7727509701..._<7916>] × [1163371116..._<31854>] (0.99%)

10⁴³⁴²¹+1 = 1000000000..._<43422> = 11 × 260527 × 909091 × 66434131 × 60304700904353977619_<20> × 181300744365781288567117_<24> × [1251599270..._<6152>] × [4222210711..._<37207>] (0.15%)

10⁴³⁴²²+1 = 1000000000..._<43423> = 101 × 9901 × 28949 × 434221 × 1792593031321_<13> × 37271753686789_<14> × [3420149262..._<14468>] × [3481357194..._<28913>] (0.10%)

10⁴³⁴²³+1 = 1000000000..._<43424> = 11 × 503 × 9689 × 260539 × 16864733 × 5213439677_<10> × 4067568702062638144916699_<25> × 17764334637927138067713031681_<29> × 2212012955306294098346533984373_<31> × 2168919673458270805366079489123268990953­8844325990924677397646308082829007403196­5973633772569660745844474775816881614567­23290029877534439668145537718911503_<155> × 5563510205554383683546545704914850146980­3488052399095459738250346232835862545261­8143028489824347845773903751383591396913­8814438028961942675024261456156912807554­3_<161> × [4222016665..._<42995>] (0.99%)

10⁴³⁴²⁴+1 = 1000000000..._<43425> = 19841 × 976193 × 6187457 × 25687873 × 48287489 × 88094081 × 751575383617_<12> × 834427406578561_<15> × 30942987586585490641217_<23> × 275568764703416069789958894913_<30> × [4565408279..._<645>] × [1135150044..._<1849>] × [2755451876..._<40813>] (0.27%)

10⁴³⁴²⁵+1 = 1000000000..._<43426> = 7 × 11 × 13 × 19 × 211 × 241 × 251 × 1931 × 2161 × 5051 × 9091 × 10037 × 29611 × 52579 × 63691 × 86851 × 270001 × 548893 × 760807 × 1430131 × 1708051 × 2372743 × 3762091 × 8646401 × 19633891 × 89052517 × 120495691 × 166376423 × 482538601 × 3915326539_<10> × 8985695684401_<13> × 78875943472201_<14> × 152910609411761_<15> × 173453712593851_<15> × 416606051890630601_<18> × 2161570946582696651_<19> × 150713234155474026837231001_<27> × 5337159554189680210862121006289_<31> × 1000009999999998999989999900000000010000­1_<41> × 3703689986333387654119799556297939637260­6027348046859085707052936840974663019766­59345706127014344391317072899730001_<115> × 1971303592086415433699486018997726858813­1479788059136184198723981290523755287675­8580360078419442702688883521253076425640­4612155186751987040696800248062364073483­74092599681_<171> × [1621951668..._<371>] × [3663906206..._<747>] × [3678048990..._<1100>] × [1185758239..._<1524>] × [4989093893..._<3765>] × [9990010000..._<4608>] × [9999900001..._<7680>] × [1375654952..._<23013>] (1.43%)

10⁴³⁴²⁶+1 = 1000000000..._<43427> = 101 × 4938838981_<10> × 318869927001809_<15> × [6286952753..._<43400>] (0.06%)

10⁴³⁴²⁷+1 = 1000000000..._<43428> = 11 × 6340343 × 15112597 × [9487580208..._<43412>] (0.03%)

10⁴³⁴²⁸+1 = 1000000000..._<43429> = 73 × 137 × 617 × 2377 × 2633 × 7841 × 16369 × 18049 × 70313 × 79337 × 86857 × 432961 × 485041 × 607993 × 665897 × 99990001 × 118710721 × 279473657 × 352461649 × 1600582369_<10> × 6578404633_<10> × 6796152793_<10> × 7247800561_<10> × 11189053009_<11> × 19044844057_<11> × 24387741577_<11> × 244332702769_<12> × 3399328015249_<13> × 43713344481832873_<17> × 60891291243097753_<17> × 603812429055411913_<18> × 126197002179733470481_<21> × 127522001020150503761_<21> × 148029423400750506553_<21> × 55258270500737009823041_<23> × 283830826522232279893972777_<27> × 53241089690155545084545617441_<29> × 169905327561162104198557246291921_<33> × 16205834846012967584927082656402106953_<38> × 7800104107917195405651401965825520530623­84449_<45> × 4865192615416970430696981027004312809291­7988274505675071805716365801863993_<74> × 4949895763359336782412876434938767797804­7796264380590133981510678696169143672945­2816424866873_<93> × 2785153893179118281358593228549059682062­3900747164894668499167046712090201879423­948069199442816537475115348268729799177_<119> × [9099868126..._<347>] × [3155994975..._<454>] × [3798328902..._<1101>] × [2942052062..._<1828>] × [5250239944..._<2198>] × [9999000100..._<3680>] × 1599236780..._<10998> × [8353473626..._<22046>] (27.12%)

10⁴³⁴²⁹+1 = 1000000000..._<43430> = 11 × 3536453 × 12361733 × 364393423 × 117651465889_<12> × 2911502743081_<13> × 441651480271681_<15> × 676321006412903_<15> × 218801242136856556680173235529_<30> × 6800924006749893155464305961168971417625­3_<41> × 2746156096440139229939952462329743908413­73964547585372623_<57> × 3244569580634956101009646791013296826459­859399717968478099_<58> × 1113440267..._<206> × [3778117683..._<42964>] (1.07%)

10⁴³⁴³⁰+1 = 1000000000..._<43431> = 101² × 3541 × 7741 × 8081 × 27961 × 86861 × 260581 × 338669 × 938089 × 3679329001_<10> × 19384130081_<11> × 1044817620601_<13> × 1974386777941_<13> × 3536072146109_<13> × 2198478623863901_<16> × 12793360409007449_<17> × 1875381309678833620681_<22> × 4908990488743183603681_<22> × 614794740059777766179873521_<27> × 5383539446793990416488818114381662511041_<40> × 1479870248985573318252709282951008209165­09_<42> × 7549370642855106064318428883982856249713­821_<43> × 2747096710559355357637346286256169476037­14681537231287179261_<60> × 2923500556298303355222653948542706598448­925085853709961673200056984872843366529_<79> × 2198082610937318394308701323982817432408­3831078225247586850633941390323492044945­842110985914964169190119801_<107> × 3422999315024124891490479888930555684687­9469995993217781973389422277649762991938­1410405213349176797123378801504531160389­523331369411970776284398551350113041_<156> × [5817242351..._<373>] × [3494692488..._<397>] × [1869139884..._<8356>] × [1793468250..._<16788>] × [1073025278..._<16796>] (1.67%)

10⁴³⁴³¹+1 = 1000000000..._<43432> = 7 × 11 × 13 × 373 × 44641 × 11376121 × 25450567 × 349367371 × 3590254957_<10> × 32005004401_<11> × 273785081189051_<15> × 753146047470967_<15> × 909090909090909090909090909091_<30> × 44109481118967125300328230419458481_<35> × 1838190726228124463315819067778696666309­1011_<44> × [2496865915..._<449>] × [7130899518..._<889>] × [1578648508..._<13959>] × [1208264987..._<27946>] (0.44%)

10⁴³⁴³²+1 = 1000000000..._<43433> = 17 × 977 × 4273 × 173729 × 5882353 × 53248647313_<11> × 967901760520372289_<18> × 1941756034624452230147681_<25> × 7849115417706986501273297_<25> × 12126864657751886263647243158401_<32> × 1333621378380781329750868926173511152429­445865079521_<52> × 8330524721..._<352> × [2263413279..._<666>] × [5756091441..._<42235>] (1.22%)

10⁴³⁴³³+1 = 1000000000..._<43434> = 11 × 677 × 859 × 30841 × 196490893 × 987001237 × 1058313049_<10> × 72763581828809_<14> × 4123604451215660377797954419594315251727­1779_<44> × 1592730232155679902273246343099578009020­762979379345291_<55> × 6621650829759394867011952029659651154933­062041670057842400167_<61> × 9396181793001671106914228395252953637292­3039994594561690888076477964771217059054­7747265739_<90> × 1079532167431061415165932592055901092454­4515923091483261516179005142159224077563­4021889587984186060013840344014199816718­1967545309634241890872640207_<148> × 1099999999..._<3073> × [6994287890..._<39914>] (8.10%)

10⁴³⁴³⁴+1 = 1000000000..._<43435> = 101 × 229 × 509 × 2281 × 3049 × 4789 × 7621 × 9901 × 38609 × 86869 × 126541 × 6312409 × 33531049 × 70983349 × 304077901 × 5123040301_<10> × 83254146421_<11> × 999999000001_<12> × 47363086944961_<14> × 52875286008709_<14> × 503340347310181_<15> × 621385610460229_<15> × 722817036322379041_<18> × 739653893349540289_<18> × 1369778187490592461_<19> × 33950736420661075851541_<23> × 1643031444531412945030981_<25> × 2050658332436114459080741_<25> × 6381698235100029949003796461_<28> × 3677587359155133559871630366055627737897­41_<42> × 1047883174565883415444214697763115441509­2805625223194933521483159740217604649402­2900534970670424195452902355693696715063­67773081665717583993696581_<146> × 2844397351..._<214> × [1980578281..._<453>] × [1000000999..._<1513>] × [4923689798..._<4493>] × [9130803939..._<9048>] × [9999990000..._<27216>] (1.64%)

10⁴³⁴³⁵+1 = 1000000000..._<43436> = 11 × 103 × 293 × 4013 × 9091 × 14281 × 15331 × 42841 × 87211 × 148921 × 674731 × 909091 × 4147571 × 67984463 × 165747961 × 252285811 × 787223761 × 1868879293_<10> × 3096736651_<10> × 8851171891_<10> × 18712393681_<11> × 21993833369_<11> × 178604494139_<12> × 117923489215268489_<18> × 265212793249617641_<18> × 1207092946187392601_<19> × 35310271386581712361_<20> × 5673320472670315859129_<22> × 40410112822629936463361201_<26> × 5605722320153116654998214459_<28> × 10826684964539959837294043117_<29> × 23580990287149131994053677157259_<32> × 2865788889761949979999225923309086021030­11_<42> × 1567067521737276554575216736570561724735­3811_<44> × 1602207948210144520667419183035809176643­86555934641_<51> × 1965071455547075976451793652436868115828­909241266827512665803201_<64> × 1037466478304215512424864306226369010022­36971549990724717454338463_<66> × 2095674198155750888930395023740170445651­8046571950461414323965365231223961865580­9712098924957353042723741728874079596356­118568603287093812371_<141> × 5248855003692933364739585667866481201678­3560226163896808143205880215983961493196­9984557055910618390350523030637683617149­6217871464621288358987576841_<148> × 1769728718..._<238> × [1099999890..._<433>] × [9213544736..._<1122>] × [7590040926..._<1706>] × [3311565447..._<4580>] × [9033989626..._<6804>] × [1099988890..._<27649>] (2.63%)

10⁴³⁴³⁶+1 = 1000000000..._<43437> = 73 × 137 × 216658769 × 384234857 × 50019246510769_<14> × [2401299860..._<43402>] (0.08%)

10⁴³⁴³⁷+1 = 1000000000..._<43438> = 7 × 11 × 13 × 57917 × 405413 × 756192454468729_<15> × [3871716827..._<14468>] × [1453202941..._<28942>] (0.07%)

10⁴³⁴³⁸+1 = 1000000000..._<43439> = 101 × 149 × 3109 × 111149 × 2068589 × 708840373781_<12> × 669031686661427842829_<21> × 11239910909146629966481_<23> × 645114231377754247116430561_<27> × 40548140514062774758071840361_<29> × 56360262697642563914567399981_<29> × [1171202295..._<1089>] × [1009999999..._<42193>] (0.36%)

10⁴³⁴³⁹+1 = 1000000000..._<43440> = 11³ × 23 × 4093 × 4357 × 8779 × 25169 × 25849 × 1485397 × 82257393571_<11> × 1313915824619773_<16> × 102502981431359171598893_<24> × 19210610797963667218565939_<26> × 2731764846587782091546914066524656594612­608438032609803989298453_<64> × 5444710013725792963322916526756467746442­08265246405598834086237345292487_<72> × [6701608956..._<265>] × [1099999999..._<3581>] × [9252466312..._<39354>] (0.55%)

10⁴³⁴⁴⁰+1 = 1000000000..._<43441> = 97 × 353 × 449 × 641 × 1409 × 17377 × 69857 × 177601 × 206209 × 810881 × 1634881 × 18453761 × 66554101249_<11> × 947147262401_<12> × 75118313082913_<14> × 3154258260324317576033_<22> × 14104874197399778016126113_<26> × 32763273156841307605831049633_<29> × 2481725917682043318986617115873_<31> × 349954396040122577928041596214187605761_<39> × 1786971871341978412769793172635403245447­905376001_<49> × 3150916372611608799973465944081684225163­85623286349240690538356681453806401_<75> × [3409065224..._<2769>] × [5754733268..._<5756>] × [1000000000..._<11521>] × [9999999999..._<23040>] (0.82%)

10⁴³⁴⁴¹+1 = 1000000000..._<43442> = 11 × 260647 × 434411 × 9035729 × 29974291 × 55430717 × 982027247 × 103952836007_<12> × 889403909677_<12> × 2182389305875529_<16> × 324236265594866557_<18> × [8324121875..._<43342>] (0.23%)

10⁴³⁴⁴²+1 = 1000000000..._<43443> = 29² × 101 × 281 × 349 × 11369 × 38861 × 68209 × 297889 × 618049 × 2345869 × 121499449 × 40882343106721_<14> × 3311354296550325689_<19> × 512592628798218592009_<21> × 396096831570425720680992129087061_<33> × 10070868837525352428796400989776525941_<38> × 2569164908474306407837982546400715548833­401_<43> × 1181180637520183640867963573625866958318­7541_<44> × 2421825498886875706568085804897442030525­2561001802943053838404135749303145829915­5915519733583733897374728100788465877671­5423100656032123324942160620509168628560­523446063044557248001192491268292405581_<199> × [2212002950..._<273>] × [3903574322..._<1193>] × [1023908756..._<5913>] × [4220606563..._<35610>] (1.05%)

10⁴³⁴⁴³+1 = 1000000000..._<43444> = 7 × 11 × 13 × 19 × 52579 × 151247 × 521317 × 2432809 × 21113299 × 70541929 × 4005531487_<10> × 14175966169_<11> × 2317853303929_<13> × 3408902322705277_<16> × 216821763650133406579_<21> × [6010637626..._<1603>] × [1486761059..._<3181>] × [4114585234..._<9642>] × [9785790610..._<28909>] (0.25%)

10⁴³⁴⁴⁴+1 = 1000000000..._<43445> = 73 × 137 × 12772537 × 329457546108953_<15> × 53221302576580961_<17> × 1615729948764045889_<19> × [2763284934..._<43384>] (0.14%)

10⁴³⁴⁴⁵+1 = 1000000000..._<43446> = 11 × 9091 × 34757 × 1040229703_<10> × [2514408177..._<8675>] × [1099989000..._<34753>] (0.04%)

10⁴³⁴⁴⁶+1 = 1000000000..._<43447> = 101 × 521 × 3121 × 9901 × 127296781 × 175936249 × 220592430761_<12> × 5832472102201_<13> × 48895248916901_<14> × 53397071018461_<14> × 15963111260899609_<17> × 1900381976777332243781_<22> × 6060517860310398033985611921721_<31> × [1150950474..._<1091>] × [1731682504..._<2212>] × [2253179572..._<13309>] × [9901000000..._<26688>] (0.34%)

10⁴³⁴⁴⁷+1 = 1000000000..._<43448> = 11 × 47 × 139 × 2531 × 3779 × 386172049 × 191003004811_<12> × 1473758569249_<13> × 549797184491917_<15> × 6540767999072314757_<19> × 14693060183390449474283819_<26> × [4398273589..._<1820>] × [5759071701..._<41525>] (0.24%)

10⁴³⁴⁴⁸+1 = 1000000000..._<43449> = 17 × 608273 × 5882353 × 4947599033311689862561_<22> × [3322821104..._<43413>] (0.08%)

10⁴³⁴⁴⁹+1 = 1000000000..._<43450> = 7² × 11 × 13 × 127 × 2689 × 4139 × 252419 × 459691 × 909091 × 328561339 × 341074651 × 128688747914651_<15> × [8701414287..._<2059>] × [3221878540..._<4128>] × [8547755012..._<12394>] × [2769650543..._<24808>] (0.14%)

10⁴³⁴⁵⁰+1 = 1000000000..._<43451> = 89 × 101 × 661 × 3541 × 5689 × 7901 × 18041 × 27961 × 60101 × 102701 × 148721 × 497069 × 886381 × 955901 × 2471701 × 7019801 × 486904001 × 1052788969_<10> × 1056689261_<10> × 1121407321_<10> × 176889381901_<12> × 328559167201_<12> × 5552339240801_<13> × 14103673319201_<14> × 1680588011350901_<16> × 2055532635366822701_<19> × 99834305852659737721_<20> × 133157371602664723858501_<24> × 3479214620202817576904801_<25> × 212890462662706052906860201_<27> × 359342259433903204310691841_<27> × 1395900370916327245555441901_<28> × 9881484126026806397682037921_<28> × 14671834360812557354682189761_<29> × 49094895915282817628267672401_<29> × 36380545029953205956377406702261_<32> × 507998564486483655774880939989709_<33> × 59711581734753434542872999181415341_<35> × 4380178667827429143519255673750222261_<37> × 3668996113223183559833250396711179251902­642533701_<49> × 6463019629164534923253835672539917600836­17720844121_<51> × 1611063836099257090042674249299639805288­1460699696765138501_<59> × 1262393707972671983684902741282727802604­64262689211651471701_<60> × 5300840448377912032674189587344789058928­62260111193658629289735929681_<69> × 8001071253952062399354308777586934418793­3827971598685416875919864318432061509004­7781735227652512476232674239391299478587­112475352432305219301_<141> × 3529967022..._<259> × 1924817940..._<285> × [8764635413..._<1477>] × [2845612900..._<1536>] × [1278382737..._<1557>] × [9854016601..._<3093>] × [2796127961..._<3121>] × [2762041287..._<15552>] × [5710066878..._<15589>] (3.52%)

10⁴³⁴⁵¹+1 = 1000000000..._<43452> = 11 × 15659305891_<11> × [5805435537..._<43440>] (0.03%)

10⁴³⁴⁵²+1 = 1000000000..._<43453> = 73 × 137 × 2857 × 3169 × 5113 × 98641 × 202777 × 1042849 × 1998793 × 2578153 × 4672937 × 6188929 × 8951113 × 13266937 × 18510553 × 99990001 × 152533657 × 282803977 × 315751201 × 11473030297_<11> × 465399516529_<12> × 1101887167897_<13> × 1068579142061329_<16> × 3199044596370769_<16> × 88887371410071193_<17> × 273919647900781361_<18> × 1119527384827710553_<19> × 3777811937749537921_<19> × 53043011765949537815976769_<26> × 197487625640022530230424689_<27> × 315444077393162364745161425645089_<33> × 2284811904185513934602789046132513875275­2437281_<47> × 6555274617188258326423007086888436687780­3237222654400793_<56> × 4443238479422134375589744174203253108661­5578692097502509412995439256236377_<74> × 4464770518736461252212297564895830819002­3012536081192611094211843306393900887680­445089061753_<92> × 6674453733225557488251415205037932916521­8699128683683755465038638131167410465821­6820684054966269965371491433_<108> × [4739518954..._<331>] × [6790882346..._<538>] × [8492903348..._<1653>] × [9628410756..._<4433>] × [1076518032..._<8926>] × [6035365372..._<26866>] (1.63%)

10⁴³⁴⁵³+1 = 1000000000..._<43454> = 11 × 9303517 × 909090909090909091_<18> × 1686493240814485277_<19> × [9771475766..._<2279>] × [6522409775..._<41130>] (0.10%)

10⁴³⁴⁵⁴+1 = 1000000000..._<43455> = 101 × 2172701 × [4556996153..._<43446>] (0.02%)

10⁴³⁴⁵⁵+1 = 1000000000..._<43456> = 7 × 11 × 13 × 211 × 241 × 2161 × 9091 × 17383 × 4536703 × 254234927 × 1663457401_<10> × 1699264321_<10> × 1812212557_<10> × 112159742129_<12> × 323385852481_<12> × 10453209538264699_<17> × 1329498240831929743_<19> × 2143575185589759287054450469089_<31> × [8940971162..._<2837>] × [5532825464..._<5738>] × [3401475332..._<11573>] × [5355312229..._<23159>] (0.34%)

10⁴³⁴⁵⁶+1 = 1000000000..._<43457> = 1998977 × 28271233 × 105528193 × 1265011073_<10> × 235223123075850113_<18> × 15343168188889137818369_<23> × 71496883142749489503687942051713_<32> × 275158773279860146670791344679553_<33> × 515217525265213267447869906815873_<33> × 4816826731..._<312> × [1503748607..._<6120>] × [5002558808..._<36858>] (1.10%)

10⁴³⁴⁵⁷+1 = 1000000000..._<43458> = 11 × 8952143 × 11994133 × [8466646814..._<43442>] (0.03%)

10⁴³⁴⁵⁸+1 = 1000000000..._<43459> = 101 × 9901 × 1303741 × 4345801 × 34484357581_<11> × 205794316009_<12> × 452206999381_<12> × 510584391529_<12> × 1349971054981_<13> × [3690234181..._<14467>] × [2162219067..._<28916>] (0.18%)

10⁴³⁴⁵⁹+1 = 1000000000..._<43460> = 11 × 859 × 100291 × 19295797 × 1058313049_<10> × 95241916870543_<14> × 197362390742634723510357444613_<30> × [4592836188..._<3308>] × [5985519307..._<40083>] (0.16%)

10⁴³⁴⁶⁰+1 = 1000000000..._<43461> = 73 × 137 × 12721 × 18233 × 1676321 × 121553521 × 5964848081_<10> × 67406298457_<11> × 1134173360081_<13> × 5143428765281_<13> × 1488067111584049_<16> × 5073514674441841_<16> × 899319337247551841_<18> × 23641392997940421257_<20> × 25756157667950658881_<20> × 1020783386354597532481_<22> × 36637591407529194237097_<23> × 24017595110149983857176317121_<29> × 2953847006964409484772763294802452761688­1_<41> × 5446917923904711630084568262371769716257­7784999950014081337618457_<65> × 4721039325728010820594679541353546669967­335225378893722566311366791400472881_<76> × 2245236606248397162554620353530247131809­5554391743324562620485785399554026316658­3148992537007203882503748922397253629192­9859656473_<130> × [6537518273..._<563>] × [2886112217..._<788>] × [3882954953..._<8301>] × [1944033942..._<33268>] (1.25%)

10⁴³⁴⁶¹+1 = 1000000000..._<43462> = 7 × 11² × 13 × 19 × 23 × 4093 × 8779 × 52579 × 308486179 × 599144041 × 766170019 × 934948837 × 7093127053_<10> × 65355347971_<11> × 183411838171_<12> × 5778689038845732241_<19> × 307331935589859872028943_<24> × 1411225248778861822822335393177961449383­05111168717_<51> × 2515873088287897454782011891518911571754­342290096763019_<55> × 3127889058329352843751138723028784195008­863188510913210373_<58> × 3758889450..._<303> × [1098901098..._<877>] × [1397401090..._<2611>] × [1903545929..._<4362>] × [1392387965..._<8750>] × [3238397918..._<26272>] (1.36%)

10⁴³⁴⁶²+1 = 1000000000..._<43463> = 101 × 75709 × 2049349 × 902791970273555133931787414321_<30> × 4831285495545122373055545883590398223973­07149685578249_<54> × [1448583148..._<1366>] × [1009999999..._<42001>] (0.22%)

10⁴³⁴⁶³+1 = 1000000000..._<43464> = 11 × 197 × 86927 × 97571 × 909091 × 938540023 × 5076141624365532994918781726395939035533_<40> × [9317224473..._<881>] × [1099999890..._<5317>] × [1225723618..._<37199>] (0.16%)

10⁴³⁴⁶⁴+1 = 1000000000..._<43465> = 17 × 5882353 × 9999999900000001_<16> × [9999999900..._<14480>] × [1000000009..._<28961>] (0.06%)

10⁴³⁴⁶⁵+1 = 1000000000..._<43466> = 11 × 9091 × 308566729 × 1167258225451_<13> × 65457601987838167_<17> × 282787436825009730727_<21> × 4324186152954838995401_<22> × [3153310165..._<8613>] × [1099989000..._<34769>] (0.19%)

10⁴³⁴⁶⁶+1 = 1000000000..._<43467> = 101 × 782389 × 801341 × 29286597879221_<14> × 16001753519494669_<17> × 33670587927455442579575167786879669_<35> × 303066247254931709383875352640800481_<36> × 9500057548693798868143517047713605498482­1_<41> × 9970724997631858414987976569399968080934­1_<41> × 1318910733231022335502996334021907185470­0685799054091470161603102678459019911637­791726472505162050327675229109_<110> × 3276531267..._<344> × [8067353014..._<42818>] (1.49%)

10⁴³⁴⁶⁷+1 = 1000000000..._<43468> = 7 × 11 × 13 × 28979 × 463649 × 208119997 × 937757059 × 2223240727129_<13> × [6766040492..._<14478>] × [2532607945..._<28947>] (0.10%)

10⁴³⁴⁶⁸+1 = 1000000000..._<43469> = 73 × 137 × [9999000099..._<43464>] (0.01%)

10⁴³⁴⁶⁹+1 = 1000000000..._<43470> = 11 × 103 × 4013 × 86939 × 393779 × 470489 × 7287451 × 35619011 × 71386327 × 21993833369_<11> × 208135984957_<12> × 778905671211367877096702437_<27> × [1633430682..._<2485>] × [1265254948..._<40892>] (0.22%)

10⁴³⁴⁷⁰+1 = 1000000000..._<43471> = 29 × 61 × 101 × 109 × 181 × 281 × 421 × 461 × 541 × 829 × 1009 × 1289 × 1381 × 3221 × 3541 × 4969 × 9661 × 9901 × 12421 × 17389 × 24841 × 27961 × 111781 × 153469 × 194581 × 226549 × 278209 × 329941 × 509681 × 778681 × 1569889 × 1912681 × 3471301 × 4188901 × 4443601 × 13489841 × 25995061 × 39526741 × 49229101 × 68189581 × 95131681 × 116280641 × 121499449 × 127193221 × 144040261 × 1384194841_<10> × 2272089961_<10> × 5312072641_<10> × 8351473789_<10> × 22946537881_<11> × 29736207341_<11> × 42681134161_<11> × 43266855241_<11> × 60368344121_<11> × 93744372901_<11> × 158201922061_<12> × 323119899901_<12> × 424451728681_<12> × 639630505081_<12> × 999999000001_<12> × 2011599114841_<13> × 4107757827661_<13> × 8423655822821_<13> × 18371524594609_<14> × 36396607649221_<14> × 45390462984721_<14> × 88363026571961_<14> × 138276882747361_<15> × 1351855459456741_<16> × 6193371433274461_<16> × 6563121116134321_<16> × 6794782522478441_<16> × 11050695524496601_<17> × 69756767353855961_<17> × 216613430183025989_<18> × 536430531035337769_<18> × 4458192223320340849_<19> × 8225357978845859081_<19> × 104305081424021932721_<21> × 135267794722253665081_<21> × 439120676164610394481_<21> × 625841411484301044481_<21> × 757108543129939106221_<21> × 848654483879497562821_<21> × 4999437541453012143121_<22> × 13029637224192121671301_<23> × 17652638213674379203681_<23> × 33822732328831925621101_<23> × 63691382029918881694921_<23> × 1105097795002994798105101_<25> × 56541586842121464411050521_<26> × 59483540558994759763795801_<26> × 62788010558275472833515781_<26> × 139790941013628227711346421_<27> × 316699822269639096888937801_<27> × 364285104984112313200606681_<27> × 4181003300071669867932658901_<28> × 18275254697071736059949358229_<29> × 19825744781339712457003608841_<29> × 59779577156334533866654838281_<29> × 193197008663100663898503151081_<30> × 354969305477178480614478251861_<30> × 1176032303782926121357149776761_<31> × 204030194366815541173925619389821_<33> × 114061789660900413328637822705950861_<36> × 2483653042730360909999468558675400001_<37> × 53836677179343252802536411876638569921_<38> × 73137716939443396538710479664316724061_<38> × 282448028612066894256984424869264385801_<39> × 938366482703941691072746568832156530761_<39> × 1063795972097308740343464151173592140661_<40> × 1910846617679140068129270917199256656502­9_<41> × 1653588207338837707362330155273201758695­93121_<45> × 1418492295715348212561834378199028577989­33927761_<48> × 1009805096139614383066323378818605356821­967673241_<49> × 2292099475416119162504685490734919773460­97487987121_<51> × 9029573059356805266678618488399930760718­96366838581_<51> × 1088692523027573678098234350084974616005­410140417841_<52> × 5389978935326357919942790146424528038212­66462568112860601_<57> × 2290624689643723122789957563362013976604­4690040039603689929_<59> × 8706477230774434247302401224903949603507­73424147330153671641266669332491181_<75> × 3444104493925557919913918425655605272048­57067026484035552706583597118812185729_<78> × 2042423515489252518936332647739470679860­8831748829358027577255873270702116509311­3635856162801_<93> × 1755885991823397127426735304525660412362­5708155378236163954582400346807794005623­131429977614689_<95> × 4617409966317766554788668533405686826442­1940909108239479144366358071337476676592­5939715141806626504158292928487889387900­5928553193826692398321349887540466176358­283350940672581933619840253537612607049_<199> × 1800376962..._<256> × 1005630073..._<374> × [5176581210..._<403>] × [6303460065..._<410>] × [1071278787..._<501>] × [8653452781..._<507>] × [3483492155..._<510>] × [9048972901..._<528>] × [1422380553..._<745>] × [1736650996..._<1003>] × 7380701492..._<1022> × [6412060803..._<1554>] × [1362961677..._<1564>] × [9999990000..._<1584>] × [4268377025..._<3121>] × [3943506421..._<3158>] × [6885924713..._<4738>] × [1738555535..._<9450>] × [7862840465..._<9496>] (9.67%)

10⁴³⁴⁷¹+1 = 1000000000..._<43472> = 11 × 59 × 170887 × 20353774330957_<14> × 76210559754209_<14> × 154083204930662557781201849_<27> × [2613685534..._<1480>] × [1443369532..._<41931>] (0.14%)

10⁴³⁴⁷²+1 = 1000000000..._<43473> = 353 × 449 × 641 × 1409 × 11969 × 69857 × 3031489 × 4913921 × 19725473 × 310348897 × 11180389793_<11> × 35439976001_<11> × 40336502753_<11> × 470909313601_<12> × 3509683416097_<13> × 4534037883233_<13> × 754651871841089_<15> × 49190086416352961_<17> × 5706094301657058649548236510474470535819­8487226448999934446131233808207036744145­484562761542433_<95> × 3610577595400972880729372479797253529720­5518185340826569980047852155932659115309­4457376181755912540092512773699689532234­798987224827675649_<138> × 3385712628753289239019454468275018070505­6727269149496594755320455272870740814407­0214357217318801663936431733367877452215­20888878951616858121601_<143> × 5781027809699670982923066276961517370230­7455969310955544852476931077952622715287­1284095883327059481084016222391212804300­2803675468602053212831240543425351530884­548678958775494494557904673_<187> × [5713513878..._<1876>] × [1000000000..._<2881>] × [1000000000..._<3457>] × [8944231985..._<34550>] (1.63%)

10⁴³⁴⁷³+1 = 1000000000..._<43474> = 7 × 11 × 13 × 121321 × 566161 × 57009401 × 204410047 × 2182600451_<10> × 2251702571_<10> × 504962315875877_<15> × 1795235500603453_<16> × 1638838389679532281_<19> × 20023515228766515152129_<23> × 55027074590990508852961_<23> × 2406728090811807756161281_<25> × 7306116556571817748755241_<25> × 3047680368470744910648946080146958676329­97_<42> × 3605696680890791382725432167911038465896­663_<43> × 7148917122985644732150290831469760095746­9967193571_<50> × 1687858617956114857563779160203327248258­725852773131_<52> × 6212295588944543675408916959295410031142­93128504188334503_<57> × 1026282027280308917043369461435270670635­02899291229635778464234241801_<69> × 7861197759376969310871284581062232753724­157295719665271243468634881392447_<73> × [2741158035..._<609>] × [1087911064..._<14076>] × [4451835970..._<28216>] (1.32%)

10⁴³⁴⁷⁴+1 = 1000000000..._<43475> = 101 × [9900990099..._<43472>] (0.00%)

10⁴³⁴⁷⁵+1 = 1000000000..._<43476> = 11 × 251 × 5051 × 5641 × 6299 × 7253 × 9091 × 20681 × 118253 × 21997411 × 272580851 × 280850851 × 834720001 × 2033255251_<10> × 24701590721_<11> × 78875943472201_<14> × 422650073734453_<15> × 4855067598095567_<16> × 23843315153651051_<17> × 49173925574833481_<17> × 296557347313446299_<18> × 2005703005501730201_<19> × 179564568420916574101927081_<27> × 297262705009139006771611927_<27> × 23065810301309733589514522366801_<32> × 2236935504439282957619836393526121214605­1995578845131526611800779453430519897692­8924538425776038404154454146973428926799­68594131_<128> × 4286364887150220673583225059177107721806­0654759722155521252580860689593571157627­9570184017568300401917094195916970808292­9486830943679876008361716880663960188314­299305481_<169> × [3325883399..._<646>] × [1751203821..._<903>] × [5180359170..._<1625>] × [3680329782..._<6614>] × [1197994535..._<33112>] (1.33%)

10⁴³⁴⁷⁶+1 = 1000000000..._<43477> = 73 × 137 × 260857 × 1217329 × 99990001 × 165556609 × 2990627089_<10> × 1515053162951914057_<19> × 91780839775137657169_<20> × [7190791116..._<14450>] × [6360982173..._<28947>] (0.18%)

10⁴³⁴⁷⁷+1 = 1000000000..._<43478> = 11 × 909091 × 13825687 × 77357927058359404527439022774531_<32> × [1175174857..._<6179>] × [7956204201..._<37253>] (0.11%)

10⁴³⁴⁷⁸+1 = 1000000000..._<43479> = 101 × [9900990099..._<43476>] (0.00%)

10⁴³⁴⁷⁹+1 = 1000000000..._<43480> = 7 × 11 × 13 × 19 × 52579 × 57973 × 173917 × 1304371 × 5449369 × 7768249 × 25565653 × 38261521 × [9090909090..._<4830>] × [4477787484..._<9642>] × [4510989192..._<28954>] (0.12%)

10⁴³⁴⁸⁰+1 = 1000000000..._<43481> = 17 × 17393 × 52177 × 1739201 × 5070721 × 5882353 × 1267542873601_<13> × 30146998005601_<14> × 19721061166646717498359681_<26> × [1101910683..._<8680>] × [1504677745..._<34721>] (0.19%)

10⁴³⁴⁸¹+1 = 1000000000..._<43482> = 11 × 7194279299_<10> × 13987489853_<11> × [9034003119..._<43460>] (0.05%)

10⁴³⁴⁸²+1 = 1000000000..._<43483> = 101 × 9901 × 434821 × 753689 × 64788181 × 289908989 × 2537999553541_<13> × 9232439892569_<13> × [2984839277..._<14445>] × [2322792574..._<28979>] (0.14%)

10⁴³⁴⁸³+1 = 1000000000..._<43484> = 11² × 23 × 1889 × 4093 × 6491 × 8779 × 173933 × 197651 × 27847549423_<11> × 40012410197_<11> × 1829147499782527_<16> × 1090805842068098677837_<22> × 1539516430906179147997_<22> × 4411922770996074109644535362851087_<34> × 9090909090909090909090909090909090909090­90909090909090909090909091_<66> × [4235321311..._<566>] × 3950078275..._<650> × [3615008649..._<3802>] × [2857436574..._<38260>] (1.97%)

10⁴³⁴⁸⁴+1 = 1000000000..._<43485> = 73 × 137 × 7841 × 14191960049_<11> × 1221272404073_<13> × 37242018515017_<14> × 67102189239513445097_<20> × 127522001020150503761_<21> × 8086428911686840766022877513_<28> × [1298436544..._<6151>] × [2198860469..._<37223>] (0.26%)

10⁴³⁴⁸⁵+1 = 1000000000..._<43486> = 7 × 11 × 13² × 131 × 157 × 211 × 241 × 859 × 2161 × 6397 × 6691 × 9091 × 11597 × 15601 × 208729 × 216451 × 925081 × 1697477 × 2139463 × 96014881 × 1058313049_<10> × 4239004771_<10> × 5156432569_<10> × 225072533011_<12> × 270415212211_<12> × 388847808493_<12> × 4015749274441_<13> × 636557927736502721_<18> × 8396862596258693901610602298557167100076­327481_<46> × 1966032824334071843648738236716922141567­459089390154109618864643162638011_<73> × 6305412991157180194163926340576846142599­9152026392552531582926655481271974023945­336611_<86> × 2530932231709740427780783573710212979327­7608545288591963388932694573150696796738­6342851064208779696417921593338374442943­683661653_<129> × [1098901098..._<445>] × [2739187446..._<876>] × [1360049469..._<1773>] × [4433454419..._<2654>] × [9100000000..._<5328>] × [1428149678..._<10639>] × [4436067987..._<21272>] (1.15%)

10⁴³⁴⁸⁶+1 = 1000000000..._<43487> = 101 × 1089709 × 26874349 × 28559389 × 104366401 × 1491383821_<10> × 2502184441_<10> × 2324557465671829_<16> × 2810067725123689_<16> × [9085902841..._<2550>] × [5121375357..._<40856>] (0.18%)

10⁴³⁴⁸⁷+1 = 1000000000..._<43488> = 11 × 7566739 × [1201430245..._<43480>] (0.02%)

10⁴³⁴⁸⁸+1 = 1000000000..._<43489> = 193 × 577 × 769 × 19841 × 415553 × 976193 × 1478593 × 6187457 × 103240513 × 317752351489_<12> × 834427406578561_<15> × 1253224535459902849_<19> × 5376349118996722135857554610727903470969­7_<41> × 5454254688947363287683007582959957955687­7428501805560638197790719877643207587229­1901238475752871142202298332796782100563­3305513155176634315060424546674322713747­588377841693274817_<178> × [2406431911..._<4795>] × [1000000000..._<9601>] × [6550903474..._<28786>] (0.71%)

10⁴³⁴⁸⁹+1 = 1000000000..._<43490> = 11 × 4397 × 9419 × 9973 × 3641773 × 2583222779_<10> × 3578600220582910306375473887125392159497­8935477786369226294849447722372747473988­7_<81> × 5677249457541767920914361261393637170284­2084190817259161711159777577563483338093­8944473350289057242141068395451138705476­43014663862360146330362411_<146> × 1046891449901657955720145334187491221522­5582139574447316416037464431191539530016­3633784105962001566674565213615433640875­2498455345033874182081312504976452679716­3897841239696982641_<179> × [1099999999..._<43057>] (1.00%)

10⁴³⁴⁹⁰+1 = 1000000000..._<43491> = 101 × 3541 × 27961 × 52189 × 86981 × 260941 × 1130741 × 4654608992645219281_<19> × [2181098376..._<8687>] × [5365716580..._<17368>] × [1370581855..._<17387>] (0.11%)

10⁴³⁴⁹¹+1 = 1000000000..._<43492> = 7² × 11 × 13 × 127 × 2689 × 9157 × 283837 × 323077 × 459691 × 909091 × 1458973 × 3758539 × 17788583 × 9886217523407_<13> × 13840564569619_<14> × 425991366045253_<15> × 1903172509772983_<16> × 3338786746233023_<16> × 909090909090909091_<18> × 8333861613298742126117_<22> × 247025236977306025681323889_<27> × 753201806271328462547977919407_<30> × 14060959683864286267405933000927102019_<38> × 6182864575832214084266614451996269641748­7_<41> × 7202140393374612642649166575446551001787­7_<41> × 1749910110149610189324781144025793515209­7401_<44> × 9284668536078237580134472469990637899155­265743957_<49> × 1936438332114871929518057885332574185585­8987848620134943_<56> × 1314796364370465263255727975869858721203­3283223333451187877069162714784603584406­816150353817835190742091970171_<110> × 1098901098..._<217> × [2614183051..._<614>] × [2644046937..._<1286>] × [7947652673..._<1931>] × [2816665996..._<3883>] × [9195539121..._<11651>] × [5774048245..._<23313>] (1.87%)

10⁴³⁴⁹²+1 = 1000000000..._<43493> = 73 × 137 × 1993 × 9433 × 83572468886561_<14> × 1627839311921131673455277189737_<31> × [3082036244..._<295>] × [1268362829..._<503>] × [1000099999..._<42641>] (0.13%)

10⁴³⁴⁹³+1 = 1000000000..._<43494> = 11 × 47 × 139 × 2531 × 8419 × 81131 × 847169 × 4329659 × 1177790441_<10> × 549797184491917_<15> × 3054602497627776299_<19> × 909090909090909090909090909091_<30> × 1120522253011683685532152825789043757514­5023592596037161_<56> × 1099999999..._<661> × [9879245550..._<1291>] × [1298442223..._<1795>] × [7718613409..._<39591>] (1.88%)

10⁴³⁴⁹⁴+1 = 1000000000..._<43495> = 89 × 101 × 9901 × 34913821 × 43580989 × 1052788969_<10> × 1056689261_<10> × 5261904121_<10> × 5419170769_<10> × 38697129536761_<14> × 789390798020221_<15> × 2361000305507449_<16> × 3473375398218980096749_<22> × [2835836873..._<1309>] × [7514333472..._<2597>] × [1919457247..._<13151>] × [2271862164..._<26313>] (0.29%)

10⁴³⁴⁹⁵+1 = 1000000000..._<43496> = 11 × 9091 × 10949112939133928486849502699647_<32> × [8302872699..._<8667>] × [1099989000..._<34793>] (0.08%)

10⁴³⁴⁹⁶+1 = 1000000000..._<43497> = 17 × 86993 × 5882353 × 775484442529_<12> × [1482322149..._<43472>] (0.06%)

10⁴³⁴⁹⁷+1 = 1000000000..._<43498> = 7 × 11 × 13 × 19 × 487² × 1459 × 12889 × 42961 × 52579 × 69499 × 444637 × 1043929 × 2145853 × 11172823 × 67430557 × 70541929 × 2458921051_<10> × 5306634001_<10> × 14175966169_<11> × 38059739677_<11> × 122851766881_<12> × 11262756096801127_<17> × 456502382570032651_<18> × 515686369546070299_<18> × 4306347841034287207_<19> × 610600386089858349939139_<24> × 406122163793038854621269776053091_<33> × 523661705392754764972834211810001059_<36> × 1285597800301964753797493971346543126516­5477_<44> × 1736027094838023676544212358044818093424­6742941840774929827069381097446101825710­3139536333050392475382212050370542458702­92654737645806593390849_<143> × 8997187573495778286317613417300932207138­2277064314026460043622919594180784981981­6835925771559643276518390048146301688389­176642719947087961896703_<144> × 5637215218..._<312> × [7766312351..._<1064>] × [2142019891..._<3139>] × [3254461623..._<9549>] × [1805135895..._<28821>] (2.13%)

10⁴³⁴⁹⁸+1 = 1000000000..._<43499> = 29 × 101 × 281 × 521 × 208409 × 5170049 × 19667789 × 121499449 × 654721485601_<12> × 1900381976777332243781_<22> × 23235551755388015066869_<23> × 2491653754605959598248971533744219901_<37> × 1079722787116034111142950317925753346451­2022361_<47> × 3571618567996393297210217238290456648947­344377957590363519828421_<64> × 4319164138206177545460534768046354494614­10533962843828981966782964481_<69> × [1765884106..._<389>] × [5135300160..._<2849>] × [8407632587..._<5683>] × [9900990099..._<34272>] (0.70%)

10⁴³⁴⁹⁹+1 = 1000000000..._<43500> = 11 × 11231441801_<11> × [8094160350..._<43488>] (0.03%)

10⁴³⁵⁰⁰+1 = 1000000000..._<43501> = 73 × 137 × 233 × 401 × 1201 × 1601 × 6961 × 13921 × 24001 × 32401 × 348001 × 355193 × 1378001 × 1676321 × 8062001 × 31272001 × 49474001 × 99990001 × 113850001 × 522208801 × 5964848081_<10> × 10851510001_<11> × 21591416633_<11> × 1508102541594001_<16> × 1774144426489775201_<19> × 11090099157944399977_<20> × 442538882251054324977361_<24> × 271453337030306516600466001_<27> × 100009999999899989999000000010001_<33> × 4711806100010561082466291127577601_<34> × 17468739848498438039329935679794457_<35> × 246900403017958787131873605843061988161_<39> × 4482637729513780747000872935673625025127­940754401_<49> × 3203269941631699433842950669924393166558­40979654890345228609_<60> × 1296944190290577505513857711845642744990­75700947656757821537291527196801_<72> × 1461236573124057038200579394128634953625­7260783370326347124974631092755601_<74> × 2623709608263520547879954791214412810391­7039851666735622202088676307751213851644­8290525904445527393923049141488305055748­3687370269811018178176841590586944036054­473_<163> × 3023577677..._<390> × [4567882870..._<417>] × [6860965463..._<743>] × [1436431561..._<893>] × [5636519694..._<2222>] × [1914942831..._<4472>] × [1240386846..._<11194>] × [2648069218..._<22385>] (2.71%)