10⁵⁴²⁰¹+1 = 1000000000..._<54202> = 7² × 11 × 13 × 59 × 127 × 179 × 2437 × 2689 × 3739 × 7477 × 19489 × 100927 × 459691 × 909091 × 3154339 × 4688699 × 15258517 × 243720583 × 472369459 × 769979407 × 1007921797_<10> × 1909341209_<10> × 4315282651_<10> × 50208445939_<11> × 638453709757_<12> × 118941438655807_<15> × 135080726389891_<15> × 12147237304901893_<17> × 2563963356465898129_<19> × 33890551129321157251_<20> × 154083204930662557781201849_<27> × 13569612563320403017443683179_<29> × 1274194732898148471766404179653_<31> × 16770055575939249091900247911180761721_<38> × 1054927415257693631440903203309586374903­030044747807503_<55> × 4180967272673252032291190917188955510245­874180001164839931077197586653_<70> × 2776479530942631295577918007584370623570­9171757029321957798614580159547773980221­2252078988231259971169_<102> × 6656280510176649041177006666533233898159­8238955516121768797834931727557023054104­07269034716016715927564139783_<109> × [5159910365..._<286>] × [6216951209..._<513>] × [2353548204..._<1026>] × [5761149420..._<2455>] × [1926458162..._<4920>] × [1810633615..._<14774>] × [1415965320..._<29551>] (1.25%)

10⁵⁴²⁰²+1 = 1000000000..._<54203> = 101 × 68389 × 6226621 × 630458508221_<12> × 35541321732345929_<17> × 1447745997018511893740076606031686237538­345362413531560645573104006506749609_<76> × [7096367685..._<1285>] × [1009999999..._<52801>] (0.22%)

10⁵⁴²⁰³+1 = 1000000000..._<54204> = 11 × 1619 × 25889 × 35597 × 325219 × 13032786133_<11> × 14305637609_<11> × 389074661646211_<15> × 397923298119761_<15> × 8149485545578233434761_<22> × 9090909090909090909090909090909090909090­90909090909090909090909091_<66> × [1094691193..._<772>] × [8002947081..._<53276>] (0.29%)

10⁵⁴²⁰⁴+1 = 1000000000..._<54205> = 73 × 137 × 36137 × 99990001 × 2162957193650369737_<19> × [1279253319..._<18042>] × [1000099999..._<36129>] (0.06%)

10⁵⁴²⁰⁵+1 = 1000000000..._<54206> = 11 × 7253 × 9091 × 65588051 × 72613019 × 1249403569_<10> × 92431038143_<11> × 260473653935899_<15> × 422650073734453_<15> × 3876806124331081_<16> × 4509406274733641_<16> × 49173925574833481_<17> × 296557347313446299_<18> × 2236935504439282957619836393526121214605­1995578845131526611800779453430519897692­8924538425776038404154454146973428926799­68594131_<128> × 9090909090..._<292> × [2439321128..._<1153>] × [1299031652..._<10455>] × [1386075643..._<42041>] (1.03%)

10⁵⁴²⁰⁶+1 = 1000000000..._<54207> = 101 × 194250939898420381_<18> × [5097010137..._<54187>] (0.04%)

10⁵⁴²⁰⁷+1 = 1000000000..._<54208> = 7 × 11 × 13 × 19² × 2053 × 52579 × 72277 × 1458973 × 3536453 × 12361733 × 53267413 × 383568733 × 4410785971_<10> × 23801700277_<11> × 38405613853_<11> × 2911579215499_<13> × 1621032764560903_<16> × 65785889333002327_<17> × 909090909090909091_<18> × 307010852070382484317401373_<27> × 3305873391712289290578972277_<28> × 753201806271328462547977919407_<30> × 102570756454098763233742574501743_<33> × 6800924006749893155464305961168971417625­3_<41> × 6508684267533856834852965580950145565983­063793936631379_<55> × 2746156096440139229939952462329743908413­73964547585372623_<57> × 1113440267..._<206> × [1172012803..._<580>] × [3027944147..._<1869>] × [2867804138..._<5680>] × [2216435645..._<11332>] × [9990010000..._<34128>] (1.14%)

10⁵⁴²⁰⁸+1 = 1000000000..._<54209> = 9857 × 689921 × 105528193 × 1232801153_<10> × 1265011073_<10> × 12307853586689_<14> × 46258294475009_<14> × 751491150305281_<15> × 1462030873384577_<16> × 2116897286997373057_<19> × 21089073573960544769_<20> × 3237729679349896487681_<22> × 15343168188889137818369_<23> × 194934211307525421500033_<24> × 316827653284644760152668929_<27> × 71496883142749489503687942051713_<32> × 275158773279860146670791344679553_<33> × 515217525265213267447869906815873_<33> × 1061105387116110819896821734531173122682­89_<42> × 4816826731..._<312> × [6828613585..._<519>] × [9889892626..._<3788>] × [4723894759..._<7022>] × [6309844075..._<42206>] (1.24%)

10⁵⁴²⁰⁹+1 = 1000000000..._<54210> = 11 × 25849 × 172059367 × 181288487 × 484303207 × 153653579173_<12> × 12331942624071394811_<20> × 19210610797963667218565939_<26> × 2646756758131654397378192081701748003041­997_<43> × 2731764846587782091546914066524656594612­608438032609803989298453_<64> × 9998823061783773451618898466551985927663­47086896770989636138585751423_<69> × [6701608956..._<265>] × [1320070176..._<53684>] (0.48%)

10⁵⁴²¹⁰+1 = 1000000000..._<54211> = 61 × 101 × 521 × 1669 × 3121 × 3541 × 7229 × 9901 × 19501 × 27961 × 108421 × 1701361 × 2311921 × 2374121 × 2420269 × 3433301 × 4188901 × 8348341 × 11158921 × 17046961 × 39526741 × 94869169 × 143089381 × 316045969 × 875855681 × 43957845999601_<14> × 53397071018461_<14> × 67563982654741_<14> × 218119850250641_<15> × 536254985893201_<15> × 44342816256896821_<17> × 154220035640400941_<18> × 201721695849323521_<18> × 413560439097312181_<18> × 1031498834064949381_<19> × 9160020509281917601_<19> × 12763852652999774041_<20> × 1068241474133951448241_<22> × 1520814102168434294101_<22> × 1900381976777332243781_<22> × 12119730504567977254081_<23> × 1045337861333351589020041_<25> × 2685647186330706081032050321_<28> × 2737820036624672031089487008281_<31> × 6060517860310398033985611921721_<31> × 681395720294658810682438883431201_<33> × 2256620385195547580971963636990419029428­6729_<44> × 5389783657965083045690889312930975376749­17585678041_<51> × 7223853560460940439011640209943027480858­51637026401_<51> × 1416299915797380934633085871561011683465­0947071716927166725815643512203761_<74> × 1757855013584091345691131668356707515113­2274090424405862513992032108985729_<74> × 1799155074645263677888568684590719168648­3610285262887318124980694534367263929242­005840749_<89> × [2042596332..._<497>] × [2218195809..._<532>] × [4083332536..._<543>] × 9272275924..._<1020> × [3507097708..._<1097>] × [1397150366..._<3309>] × [9835186722..._<6581>] × [1755349656..._<6604>] × [2617476733..._<6604>] × [8991973930..._<13234>] × [2555227054..._<13249>] (3.62%)

10⁵⁴²¹¹+1 = 1000000000..._<54212> = 11 × 47 × 139 × 2531 × 320700585281_<12> × 549797184491917_<15> × 257267963185844183_<18> × [2834702993..._<2345>] × [4275697550..._<51815>] (0.10%)

10⁵⁴²¹²+1 = 1000000000..._<54213> = 73 × 137 × 2003084500777_<13> × 27467496783673_<14> × [1817348512..._<54183>] (0.05%)

10⁵⁴²¹³+1 = 1000000000..._<54214> = 7 × 11 × 13 × 103 × 4013 × 6379 × 12757 × 176459 × 1907023 × 7532419 × 2429935087_<10> × 21993833369_<11> × 65331218893_<11> × 291078844423_<12> × 49883129343973_<14> × 494642923347060259_<18> × 377526955309799110357_<21> × 2928852075918417027638457828557_<31> × 10222699384321246317974305384893583_<35> × [2161548107..._<1019>] × [7483463016..._<2077>] × [2205154356..._<16979>] × [1158868502..._<33947>] (0.36%)

10⁵⁴²¹⁴+1 = 1000000000..._<54215> = 101 × 18204657847841_<14> × 3025922579256653981_<19> × [1797373330..._<54181>] (0.06%)

10⁵⁴²¹⁵+1 = 1000000000..._<54216> = 11 × 6197 × 9091 × 61961 × 498779 × 909091 × 4147571 × 1342254971_<10> × 2863592929_<10> × 3356580767_<10> × 5672561920001_<13> × 13811074307165921_<17> × 87198283703212783_<17> × 265212793249617641_<18> × 1324610556614922537499247_<25> × 1519693778366341758863801_<25> × [1224351139..._<1484>] × [9239012393..._<6139>] × [3841327721..._<9279>] × [6772931451..._<37143>] (0.32%)

10⁵⁴²¹⁶+1 = 1000000000..._<54217> = 17 × 433 × 8929 × 5882353 × 2423419057_<10> × 144261921121729_<15> × 9999999900000001_<16> × 234658789223961457_<18> × 127723473804692368677776045330032228801_<39> × 491413179769291800875985377355914924161_<39> × 1119946242580356142905139433307201254339­79169_<45> × 4232900250529425111937171375069484185923­9120433_<47> × 1110266584647997728109718848212718399455­29173378999198369_<57> × [6931836081..._<1986>] × [1376778065..._<3936>] × [1000000000..._<12001>] × [1000000000..._<36001>] (0.54%)

10⁵⁴²¹⁷+1 = 1000000000..._<54218> = 11 × [9090909090..._<54216>] (0.00%)

10⁵⁴²¹⁸+1 = 1000000000..._<54219> = 101 × 123209613959381_<15> × 136836527303309_<15> × [5872621157..._<54188>] (0.06%)

10⁵⁴²¹⁹+1 = 1000000000..._<54220> = 7 × 11² × 13 × 23 × 373 × 2729 × 3499 × 4093 × 8779 × 9859 × 19717 × 43649 × 44641 × 204601 × 216877 × 328813 × 717091 × 1320973 × 2784091 × 15381767 × 19245997 × 37808717 × 47055521 × 329653567 × 599144041 × 3590254957_<10> × 183411838171_<12> × 210522302761_<12> × 6385133303099_<13> × 54137839415767_<14> × 131634358491127_<15> × 270607868517139_<15> × 40377045783121903_<17> × 72679609495390431733_<20> × 228160093106079754423_<21> × 331371735699225995209_<21> × 626254207448316529499143_<24> × 917813298871770308465539_<24> × 3096825432750653910867529_<25> × 26526333976234009593263527_<26> × 742964404521118042799475241_<27> × 6743829944020820446247757493_<28> × 909090909090909090909090909091_<30> × 1393949954184795816301811495623_<31> × 8558521377558885170560719135529_<31> × 1107787169378395599401257233239538397_<37> × 2521683376335623264853169025426175893_<37> × 29374061102839796677177079236872451361_<38> × 1838190726228124463315819067778696666309­1011_<44> × 9090909090909090909090909090909090909090­909090909091_<52> × 2858024101..._<227> × [8732297044..._<440>] × 1209884540..._<572> × [1754300911..._<927>] × [1105848980..._<1512>] × [9866859023..._<3017>] × [2404447918..._<15593>] × [1098901098..._<31201>] (2.83%)

10⁵⁴²²⁰+1 = 1000000000..._<54221> = 73 × 137 × 195193 × 1676321 × 39038401 × 131429281 × 268063681 × 5964848081_<10> × 320297709841_<12> × 948962994481_<12> × 153782328394848939361_<21> × 3220648723761842486614297_<25> × [3229153643..._<10779>] × [7662527044..._<43324>] (0.22%)

10⁵⁴²²¹+1 = 1000000000..._<54222> = 11 × 1889 × 3677 × 20219 × 542162231841211_<15> × 1090805842068098677837_<22> × 4411922770996074109644535362851087_<34> × [1222796009..._<911>] × [2028912999..._<53230>] (0.15%)

10⁵⁴²²²+1 = 1000000000..._<54223> = 29 × 101 × 281 × 9901 × 226549 × 121499449 × 780993842749_<12> × 9049149921169_<13> × 11217706990928909_<17> × 4458192223320340849_<19> × 7382507155862729138389_<22> × 15971311546444857594601_<23> × 176192159694208111107041_<24> × [5009425881..._<2541>] × [1009998990..._<5161>] × [1368098910..._<15459>] × [8771686179..._<30913>] (0.28%)

10⁵⁴²²³+1 = 1000000000..._<54224> = 11 × 859 × 2237 × 22699 × 57009401 × 1058313049_<10> × 2182600451_<10> × 53627987162881_<14> × 102527361354613106010527_<24> × 7306116556571817748755241_<25> × 323338434891034089173475790125293_<33> × 2742269936605462168329562307947106658888­1_<41> × [4917299955..._<501>] × 4846028459..._<1148> × [1099999999..._<4033>] × [1695179993..._<48371>] (2.43%)

10⁵⁴²²⁴+1 = 1000000000..._<54225> = 353 × 449 × 641 × 1409 × 69857 × 976033 × 13852136459297_<14> × [7396371853..._<54189>] (0.06%)

10⁵⁴²²⁵+1 = 1000000000..._<54226> = 7 × 11 × 13 × 19 × 211 × 241² × 251 × 1447 × 2161 × 2411 × 4339 × 5051 × 9091 × 11087 × 28921 × 29611 × 52579 × 140263 × 270001 × 3434251 × 3762091 × 15616801 × 20793481 × 65937601 × 3226315201_<10> × 10807753933_<11> × 65160259321_<11> × 89484372451_<11> × 2204113904851_<13> × 8985695684401_<13> × 19183505625847_<14> × 78875943472201_<14> × 166118970220264489_<18> × 1999737582917658811_<19> × 133994893458063827131_<21> × 2007956095096926290131_<22> × 118272791706581269400131_<24> × 1432840997383099816903558298765841755281_<40> × 2065548882433064749302848511798666276437_<40> × 1000009999999998999989999900000000010000­1_<41> × 1073432861671296843309316906103494760197­6065423298090207036703_<62> × 1587159415466708493113910200241893331490­8143281174256911370046090374195646715126­9742335031378183866433849119125209_<114> × 3703689986333387654119799556297939637260­6027348046859085707052936840974663019766­59345706127014344391317072899730001_<115> × [2762893237..._<425>] × [1404985543..._<943>] × [1804779422..._<1404>] × [3724063813..._<1843>] × [4537015976..._<4788>] × [9990010000..._<5760>] × [9025199888..._<9584>] × [1694804705..._<28782>] (1.29%)

10⁵⁴²²⁶+1 = 1000000000..._<54227> = 101 × 28541 × 234029 × 2602849 × 5770789 × 22124209 × 11272420969_<11> × 722817036322379041_<18> × 1369778187490592461_<19> × 722093751484581042461_<21> × 131940873312885411316241981_<27> × 231410499775012110564459594961_<30> × [1363674508..._<2776>] × [1329307004..._<51297>] (0.29%)

10⁵⁴²²⁷+1 = 1000000000..._<54228> = 11 × 30841 × 297698529767_<12> × 258063700165602943_<18> × 2764617069785703725933625413_<28> × 4123604451215660377797954419594315251727­1779_<44> × 6621650829759394867011952029659651154933­062041670057842400167_<61> × 1079532167431061415165932592055901092454­4515923091483261516179005142159224077563­4021889587984186060013840344014199816718­1967545309634241890872640207_<148> × 3288306793104537549151557682274952353292­6149751780658407359998309758510107771719­3987768606878995960468762394797684114544­7142199844840010655676265265016804404656­93288035792812855582407_<183> × [1431822145..._<53732>] (0.91%)

10⁵⁴²²⁸+1 = 1000000000..._<54229> = 73 × 137 × 108457 × 15581513 × 66158161 × 99990001 × 813913149433_<12> × 7146085494670185913_<19> × [6417220266..._<18065>] × [2396382517..._<36101>] (0.12%)

10⁵⁴²²⁹+1 = 1000000000..._<54230> = 11 × 3557 × 81131 × 216917 × 232411 × 909091 × 55405813 × 857772733 × 1094479651_<10> × 1125629957_<10> × 231360835259_<12> × 253270169648641_<15> × 616896149073719728613_<21> × 4514666454616035926293_<22> × 10860110813777339731289_<23> × 55106873774173864894373_<23> × 52034716615139419063969613_<26> × 1515780514077670348158815644201_<31> × 3609953127360313821869930156556758170515­1216702113889_<53> × 2808648462664797249631967148819187038371­92646197734463_<54> × 1120522253011683685532152825789043757514­5023592596037161_<56> × [3055273414..._<288>] × [3089139056..._<679>] × [1563336979..._<7513>] × [9090910000..._<45360>] (0.72%)

10⁵⁴²³⁰+1 = 1000000000..._<54231> = 89 × 101 × 349 × 661 × 3541 × 7481 × 18041 × 18701 × 26861 × 27961 × 38281 × 38861 × 88741 × 108461 × 138041 × 148721 × 618049 × 1342661 × 23947969 × 28559389 × 519861541 × 1052788969_<10> × 1056689261_<10> × 1121407321_<10> × 1491383821_<10> × 3747726841_<10> × 12464369129_<11> × 65363733161_<11> × 155623169021_<12> × 343409088881_<12> × 1309007664281_<13> × 2182045903801_<13> × 7510208144561_<13> × 7568346838961_<13> × 19177162491961_<14> × 48108499595641_<14> × 2079492584954269_<16> × 2324557465671829_<16> × 1775093631136786049_<19> × 16605684883738697689_<20> × 237612993541791006121_<21> × 1767955366388381478541_<22> × 188043499241195246082595481_<27> × 1395900370916327245555441901_<28> × 5058662207573445830372445301_<28> × 6861213971210390201377343641_<28> × 246064847436430347481130264401_<30> × 1988731184935761442996825520561_<31> × 14087942679857610940613213182901_<32> × 36380545029953205956377406702261_<32> × 481784225905457013096684069934321_<33> × 2745820043425052285732308383257413452721_<40> × 1181180637520183640867963573625866958318­7541_<44> × 8137286200314620388719926773767185446467­79541_<45> × 1051361091529803074497312148085134194834­726090632313891925201_<61> × 2004594328563924403139229874961691116225­4803611180129676814249196577825262970771­61_<82> × 2022907403453455435045739409943184658625­1136936003634971287976573977944682716320­34457525101_<91> × [8675359172..._<305>] × [3764477538..._<491>] × [1142421063..._<552>] × [2637273708..._<634>] × [5498825792..._<862>] × [6659330333..._<1048>] × 1116392154..._<1080> × [6130128734..._<1761>] × [2136045574..._<1781>] × [4841354237..._<8921>] × [1386689395..._<17896>] × [6947633284..._<17906>] (3.83%)

10⁵⁴²³¹+1 = 1000000000..._<54232> = 7 × 11 × 13 × 108463 × 11500079136221801_<17> × [7905083941..._<18060>] × [1013157573..._<36148>] (0.04%)

10⁵⁴²³²+1 = 1000000000..._<54233> = 17 × 5882353 × 1582668617137_<13> × [6318442023..._<54212>] (0.04%)

10⁵⁴²³³+1 = 1000000000..._<54234> = 11 × 1931 × 10037 × 1430131 × 3037049 × 166376423 × 6560496291091_<13> × 1829063291144303_<16> × 58513940129535379432477007_<26> × 1431135121058581084714805848152798178115­6825517304025972437630442871247925720843­19412841582786640330468733_<106> × 1654743324648052017434917920719343388118­1252010316221293841402155991914006665222­5037848628410922623655327402658744071445­59674728417785771_<137> × 1971303592086415433699486018997726858813­1479788059136184198723981290523755287675­8580360078419442702688883521253076425640­4612155186751987040696800248062364073483­74092599681_<171> × [1980214118..._<53739>] (0.91%)

10⁵⁴²³⁴+1 = 1000000000..._<54235> = 101 × 829 × 1049 × 1289 × 4969 × 9901 × 14149 × 111781 × 116329 × 132049 × 1569889 × 33887081 × 45401981 × 1344885301_<10> × 1728256801_<10> × 10355722921_<11> × 999999000001_<12> × 1433176584109_<13> × 18371524594609_<14> × 322185369274849_<15> × 536430531035337769_<18> × 757108543129939106221_<21> × 4181003300071669867932658901_<28> × 1910846617679140068129270917199256656502­9_<41> × 1345744499..._<224> × 1800376962..._<256> × [8682263150..._<515>] × [5437504742..._<1536>] × [7047282318..._<5708>] × [5728893989..._<11431>] × [9999990000..._<34320>] (1.34%)

10⁵⁴²³⁵+1 = 1000000000..._<54236> = 11 × 9091 × 1627051 × 18222961 × 939350201 × 16508212005001_<14> × 32633266512767_<14> × [2785779685..._<10833>] × [2392437825..._<43349>] (0.10%)

10⁵⁴²³⁶+1 = 1000000000..._<54237> = 73 × 137 × 1193 × 7841 × 15497 × 25033 × 574393 × 619841 × 1580801 × 9094961 × 10727809 × 132599273 × 286569193 × 882811889 × 1342991833_<10> × 169871816297_<12> × 125631540383441_<15> × 4690191869235497_<16> × 12984271047478411201_<20> × 36990372762655063361_<20> × 127522001020150503761_<21> × 152387307355944116873_<21> × 523688999052462666529_<21> × 19562499561211294001273_<23> × 32057918443938776296617977_<26> × 285426910637479686587379193_<27> × 13306099079477488146909217894897201_<35> × 6325274402021507450906224122454439230492­01_<42> × 1469228365475573809046248838110708015796­36649582426027039761_<60> × 1236386443286416000845205982296310762602­9967969207066306934504253853534254947079­69_<82> × 3117814097707474151636414249725282442495­4208724815035676374093147018212750972725­1868610676044366881633877582293186191387­9972129_<127> × [2160506596..._<581>] × [6035750220..._<3437>] × [3452385923..._<6975>] × [5926312061..._<42601>] (1.19%)

10⁵⁴²³⁷+1 = 1000000000..._<54238> = 7 × 11 × 13 × 607 × 809 × 1213 × 42961 × 133321 × 329059 × 389659 × 614687 × 11172823 × 1327067281_<10> × 2790276703_<10> × 19497008287_<11> × 134971703299_<12> × 144025594183_<12> × 236268187210090121_<18> × 2669288605428046557019_<22> × 406122163793038854621269776053091_<33> × 523661705392754764972834211810001059_<36> × 3041043667691453912297172888609639950518­597_<43> × 1150049039411782458546879600357516307683­6624586334794818271756072956027758946488­969_<83> × 2113873057909255954597860117046517523085­4959962552905615795598083821131115347286­7946847742896540536221553757692408959528­5508298878912860778863_<142> × 1736027094838023676544212358044818093424­6742941840774929827069381097446101825710­3139536333050392475382212050370542458702­92654737645806593390849_<143> × 5637215218..._<312> × [3896287574..._<17755>] × [6266580319..._<35559>] (1.70%)

10⁵⁴²³⁸+1 = 1000000000..._<54239> = 101 × 2309 × 45121 × 1871789 × 34428262901_<11> × 272177565333718069_<18> × 306332673158836861_<18> × 2144906157509411684424913774078958939881_<40> × 1023037643093214557651333120422980213172­396059301_<49> × [7980627608..._<1097>] × [1009999999..._<52993>] (0.27%)

10⁵⁴²³⁹+1 = 1000000000..._<54240> = 11 × 293 × 1487 × 11727473160419_<14> × 7235559538780847_<16> × 8172691019111011124393086241_<28> × 10826684964539959837294043117_<29> × 2750793293893633690646483974559334689_<37> × 2865788889761949979999225923309086021030­11_<42> × [2719401353..._<675>] × [1296331624..._<53396>] (0.31%)

10⁵⁴²⁴⁰+1 = 1000000000..._<54241> = 193 × 769 × 19841 × 976193 × 2343169 × 5640961 × 6187457 × 3749468874241_<13> × 21370102149313_<14> × 834427406578561_<15> × 1253224535459902849_<19> × 2068674323168262089089_<22> × 8114613370481922230652951941118288294977_<40> × 5376349118996722135857554610727903470969­7_<41> × 2695404316893288775710390115296882289766­41_<42> × 2584731484587868899808294916932753463307­2641_<44> × 5431852955926725494993023946436402759183­74120256093130759988042950370991361_<75> × 2642485680977517391378418105893565400120­9065687491145404865435327012853922339304­27735879112610561_<97> × 9999999999999999999999999999999900000000­0000000000000000000000009999999999999999­9999999999999999000000000000000000000000­00000001_<128> × [5957170687..._<3523>] × [1997053910..._<7149>] × [1000000000..._<14337>] × [4727996541..._<28653>] (1.07%)

10⁵⁴²⁴¹+1 = 1000000000..._<54242> = 11² × 23 × 4093 × 8779 × 14211143 × 84260929 × 114773957 × 684087493 × 1890190369_<10> × [9400213488..._<4914>] × [5986134618..._<49275>] (0.10%)

10⁵⁴²⁴²+1 = 1000000000..._<54243> = 101 × 149 × 3109 × 111149 × 708840373781_<12> × 669031686661427842829_<21> × 3464031640636033439881_<22> × 1250127667091820297770116921_<28> × 40548140514062774758071840361_<29> × 2286348395..._<1416> × [1009999999..._<52705>] (2.84%)

10⁵⁴²⁴³+1 = 1000000000..._<54244> = 7³ × 11 × 13 × 19 × 127 × 197 × 379 × 739 × 2647 × 2689 × 4019 × 5167 × 10333 × 52579 × 148339 × 180811 × 325459 × 459691 × 909091 × 5274739 × 6007303 × 16419517 × 22873327 × 70541929 × 1309140169_<10> × 9295490317_<10> × 14175966169_<11> × 257737121251_<12> × 409485312979_<12> × 4963188851503_<13> × 8529321417373_<13> × 19214818177409_<14> × 90360065279611_<14> × 2166542661753037_<16> × 26726821988429179_<17> × 778786343833388773_<18> × 2670502781396266997_<19> × 8642670625016390971_<19> × 3404193829806058997303_<22> × 21372035283012877472521_<23> × 2227500794590370844147583_<25> × 164284600769469692618640409_<27> × 189772422673235585874485732659_<30> × 248130677209447791247479586597_<30> × 63060936944326674212591995662102125143_<38> × 5076141624365532994918781726395939035533_<40> × 6331512614238234077508187988343438690524­7847_<44> × 4841193139246416682912992055944726358563­520908223_<49> × 5213600916753429504543143915097894587811­57156524647_<51> × 6105179603552296927117127487655417850454­4683763248923853725596423_<65> × 1428571571428571428569999999857142857142­8585714285714285571428557142857142857285­7143_<84> × 1206226142359151995765814974690188684077­0760501774728809041482325280912099002046­8006404654192783823649565330780189120560­3731363358813212170994860337470438735804­18793246097727626773386959905463_<192> × 5724747847..._<227> × 1000999998..._<241> × [2154768431..._<396>] × [1000000000..._<721>] × [1000000000..._<757>] × [1717419514..._<1361>] × [1038562796..._<1656>] × [6318041859..._<3318>] × [2159667395..._<4283>] × [6484263744..._<10062>] × [3400377848..._<30221>] (2.72%)

10⁵⁴²⁴⁴+1 = 1000000000..._<54245> = 73 × 137 × 161969 × 4672937 × 11473030297_<11> × 273919647900781361_<18> × 8464809710844890517494016141257_<31> × 2284811904185513934602789046132513875275­2437281_<47> × 4464770518736461252212297564895830819002­3012536081192611094211843306393900887680­445089061753_<92> × 6674453733225557488251415205037932916521­8699128683683755465038638131167410465821­6820684054966269965371491433_<108> × [7293021137..._<724>] × [1000099999..._<53201>] (0.59%)

10⁵⁴²⁴⁵+1 = 1000000000..._<54246> = 11 × 9091 × 43397 × 274081 × 25926229877_<11> × 1812604116731_<13> × 121450506296081_<15> × 736417944107917_<15> × 909090909090909091_<18> × 646213573314452329233222401_<27> × 1369398895363566532703794609730931826889_<40> × 4996731930447843676185843959746621491531­100801_<46> × 1400229372053779000270011248342477367715­3027783_<47> × 6954058144359512582777812098920524271958­416554333_<49> × [8228419084..._<406>] × [6210596814..._<2248>] × [1099999999..._<10261>] × [9091000000..._<41040>] (0.54%)

10⁵⁴²⁴⁶+1 = 1000000000..._<54247> = 101 × 9901 × 7594441 × 230830281735721_<15> × 200230462259612749_<18> × 41162220519376190541781_<23> × [3167262207..._<18051>] × [2185234295..._<36129>] (0.12%)

10⁵⁴²⁴⁷+1 = 1000000000..._<54248> = 11 × 103 × 4013 × 19528921 × 442004557 × 21993833369_<11> × [9090909090..._<3190>] × [1274346967..._<51025>] (0.06%)

10⁵⁴²⁴⁸+1 = 1000000000..._<54249> = 17 × 108497 × 5882353 × [9216844613..._<54235>] (0.02%)

10⁵⁴²⁴⁹+1 = 1000000000..._<54250> = 7 × 11 × 13³ × 157 × 677 × 859 × 1499 × 6397 × 16693 × 28463 × 74687 × 108499 × 216451 × 392263 × 795653 × 7569823 × 7848023 × 987001237 × 1058313049_<10> × 15762546853_<11> × 273185294773_<12> × 388847808493_<12> × 2366998879807_<13> × 4002901342441_<13> × 112389066692347771_<18> × 529556856977051917339_<21> × 9289873078995653270647_<22> × 819286135684982014643023_<24> × 122821779795297711210947489_<27> × 899788378170104270110161037_<27> × 155490403648623445664788291934117_<33> × 1592730232155679902273246343099578009020­762979379345291_<55> × 9140689231828972552925524522037823147045­9375713794943226862262823522886708019884­51_<82> × 9396181793001671106914228395252953637292­3039994594561690888076477964771217059054­7747265739_<90> × 6816076420889383530061928052932135771677­8230565334058537113874257582950028898896­5195229201450565849237338320632962384270­5963383073925056196658386867709651975318­465023_<166> × [4342163700..._<284>] × [3133747599..._<1132>] × [9100000000..._<2544>] × [1174394469..._<16525>] × [2498187975..._<33060>] (1.30%)

10⁵⁴²⁵⁰+1 = 1000000000..._<54251> = 29 × 101 × 281 × 421 × 701 × 3541 × 4001 × 8681 × 10501 × 21701 × 27961 × 28001 × 60101 × 76001 × 78121 × 93001 × 130201 × 151901 × 217001 × 279001 × 356501 × 1610501 × 1627501 × 2049349 × 2864401 × 3471301 × 7019801 × 13489841 × 106034881 × 106300489 × 120995729 × 121499449 × 359959601 × 422100001 × 782393501 × 3178594301_<10> × 3339619501_<10> × 5044507861_<10> × 60368344121_<11> × 363981764441_<12> × 848876521501_<12> × 1125310645201_<13> × 12789308849381_<14> × 14103673319201_<14> × 155644409725501_<15> × 207512839422001_<15> × 1428710081851501_<16> × 1680588011350901_<16> × 173037764688379501_<18> × 317111891108246501_<18> × 2223478138849019501_<19> × 8405579614017516001_<19> × 848654483879497562821_<21> × 1509007136441815665001_<22> × 10918032289354742314141_<23> × 716677379903896505369824501_<27> × 2239423767616476563953968001_<28> × 8650422075781247104962656801_<28> × 52967171178335621423656535313121_<32> × 952846312570007577050723081040768241_<36> × 4831285495545122373055545883590398223973­07149685578249_<54> × 2135677566175112095067786054974896458380­25587933288349770601_<60> × 4729413357148090640380520548670420819661­897089600775548490401_<61> × 3288608250165718724790455719578874902068­9459942486319578774270656490822624175142­646095920001_<92> × 6209247929687718293872530970176361270188­5934873686511216074999022043451075472787­66048583639501_<94> × 2973385658387841660090191886374395419376­5406914039889743839597679744394714079784­71880584291823101_<97> × 3576409999642362576445763742357211830764­2788176388541182361148385250885161475626­7658524373235935767676406423590000357641_<120> × 2824060999717591075967240892404687941259­5312053092346794690767297373623270262072­8607737927140638237785936175939000282406­1_<121> × [2485230579..._<329>] × [6275429267..._<555>] × 8396729841..._<555> × [5877069348..._<585>] × 1865183539..._<590> × [9900498007..._<600>] × [2080601826..._<693>] × [1640898814..._<2955>] × [4465434432..._<2973>] × [9390495294..._<3572>] × [1297979086..._<3581>] × [7327606290..._<17958>] × [1453201164..._<17978>] (4.56%)

10⁵⁴²⁵¹+1 = 1000000000..._<54252> = 11 × 108503 × 434009 × 18011333 × 58790363345111859742357_<23> × [1823118227..._<54210>] (0.08%)

10⁵⁴²⁵²+1 = 1000000000..._<54253> = 73 × 137² × 617 × 1097 × 2377 × 3169 × 16369 × 98641 × 432961 × 493201 × 578689 × 761113 × 1338217 × 11706377 × 99990001 × 246195577 × 425792713 × 1367249041_<10> × 6796152793_<10> × 24387741577_<11> × 99677548081_<11> × 385012663993_<12> × 440718109921_<12> × 1283719106473_<13> × 280098706869433_<15> × 3165567139265257_<16> × 3199044596370769_<16> × 4748644601646961_<16> × 413812501045653601_<18> × 474695057688264953_<18> × 3443072842372634857_<19> × 126197002179733470481_<21> × 283830826522232279893972777_<27> × 4987445373502665124237014313_<28> × 16205834846012967584927082656402106953_<38> × 7408727338313716781446937691661250885891­761_<43> × 2462889436074635750496310577048727893156­48893038409344335438892115177_<69> × 3286441734725167632640591449151190304019­453738946987847768004461574472857_<73> × [6653181603..._<539>] × [6387100731..._<1052>] × [1482956541..._<3250>] × [1799725254..._<5416>] × [1726971702..._<10817>] × [3766462389..._<32606>] (1.06%)

10⁵⁴²⁵³+1 = 1000000000..._<54254> = 11 × 36346333 × 3861904074787001_<16> × 18976797076365179_<17> × 508399838327574001_<18> × 2846390188891241030645451773087716881978­563746547069042984813032147999326242449_<79> × 6282138071505210318841228543562283508437­5696198844381770006528017966159354889557­7774743119827923459254362276610101539366­5597896857185313159459_<142> × 6476572499..._<203> × [5796552471..._<53772>] (0.89%)

10⁵⁴²⁵⁴+1 = 1000000000..._<54255> = 101 × 4555165841_<10> × 97294641785569_<14> × 16047143723208949180769_<23> × [1392155563..._<54207>] (0.09%)

10⁵⁴²⁵⁵+1 = 1000000000..._<54256> = 7 × 11 × 13 × 211 × 241 × 2161 × 9091 × 1873607 × 14844169 × 374478318451_<12> × 16473279610493731_<17> × 313915572061928504303_<21> × 9078867729287194242331_<22> × [1702488809..._<3568>] × [4493892171..._<7209>] × [2937390353..._<14453>] × [9100090999..._<28928>] (0.18%)

10⁵⁴²⁵⁶+1 = 1000000000..._<54257> = 353 × 449 × 641 × 1409 × 69857 × [9999999999..._<54240>] (0.03%)

10⁵⁴²⁵⁷+1 = 1000000000..._<54258> = 11 × 47 × 139 × 967 × 2531 × 9437 × 80207 × 121321 × 909091 × 1569936761_<10> × 2251702571_<10> × 549797184491917_<15> × 10445249602992527_<17> × 1203881882727712699967_<22> × 55027074590990508852961_<23> × 23391028206417273637358380573_<29> × 7775058388319250595762800404689_<31> × 3309383964775818489317002654646529291847_<40> × 7148917122985644732150290831469760095746­9967193571_<50> × 1687858617956114857563779160203327248258­725852773131_<52> × 6212295588944543675408916959295410031142­93128504188334503_<57> × 1026282027280308917043369461435270670635­02899291229635778464234241801_<69> × 7861197759376969310871284581062232753724­157295719665271243468634881392447_<73> × [1391321805..._<1992>] × [1099999999..._<7393>] × [9090910000..._<44352>] (0.96%)

10⁵⁴²⁵⁸+1 = 1000000000..._<54259> = 101 × 9901 × 407803129 × 500258761 × 519791641 × [9900990099..._<18084>] × [9524592227..._<36142>] (0.06%)

10⁵⁴²⁵⁹+1 = 1000000000..._<54260> = 11 × 59 × 86488847 × 403093603913771_<15> × 154083204930662557781201849_<27> × 13357282890424518675763840648762889_<35> × [1688430870..._<1822>] × [1271840287..._<52353>] (0.16%)

10⁵⁴²⁶⁰+1 = 1000000000..._<54261> = 73 × 137 × 1676321 × 3233897 × 5964848081_<10> × 226209940001_<12> × [3091935240..._<10842>] × [4421114297..._<43381>] (0.07%)

10⁵⁴²⁶¹+1 = 1000000000..._<54262> = 7 × 11 × 13 × 19 × 52579 × 976699 × 6438973 × 201429673771_<12> × 92116849230130910089_<20> × [4899421352..._<5997>] × [1706640327..._<12050>] × [1024880745..._<36163>] (0.10%)

10⁵⁴²⁶²+1 = 1000000000..._<54263> = 101 × 521 × 175309 × 69442879741_<11> × 625801149949_<12> × 42233808876689_<14> × 1900381976777332243781_<22> × 727268424983145015205506289_<27> × [7765683405..._<4140>] × [5502968721..._<50028>] (0.17%)

10⁵⁴²⁶³+1 = 1000000000..._<54264> = 11² × 23 × 4093 × 8779 × 4015463 × 76293779 × 427809493 × 204378657453739622209_<21> × [2589320007..._<4897>] × [1441795142..._<49313>] (0.10%)

10⁵⁴²⁶⁴+1 = 1000000000..._<54265> = 17² × 113 × 337 × 17137 × 54673 × 57457 × 134369 × 5882353 × 24491153 × 152516113 × 5637065089_<10> × 13355595217_<11> × 100284213121_<12> × 2501175358081_<13> × 7024789118033_<13> × 31735795756961_<14> × 46502552676497_<14> × 9999999900000001_<16> × 27143242619035537_<17> × 252062704480573729_<18> × 359537948137939201_<18> × 1676106728215569889_<19> × 73765755896403138401_<20> × 32600911696563293336657713_<26> × 119968369144846370226083377_<27> × 340637235462501636248343697_<27> × 6857342640968256242829745457_<28> × 7865110274657230201779070033_<28> × 2070270028985341766616009080161_<31> × 21557171662150244330582576315329_<32> × 2814641885695164503279574218840160746078­05300753_<48> × 1433319827159466789806966856379479179916­136529424792832495021393_<64> × 4404410875574787768521718346256386184129­4905937408483757953142563366126920380374­1415744566525108430933975383194546209_<117> × 3178246571075235723080972275640135632212­4363189689680294665332492640481157548317­36073020454216579035062833710671458881_<118> × 1020907660793056991392207062249442809067­1480292064954172591269153271836953190308­6828016478179513102970945488589674199626­33393_<125> × 2345046820394523854722286018373912171012­6330850830571913874990515654086653442723­8711769806579683320997636600725852987602­204289_<126> × 4517228317..._<213> × [2070819705..._<683>] × [1038377785..._<842>] × [1173598984..._<1499>] × [3684158167..._<1712>] × [1000000009..._<2305>] × [2935674335..._<4582>] × [4083107030..._<13817>] × [4399162094..._<27590>] (2.28%)

10⁵⁴²⁶⁵+1 = 1000000000..._<54266> = 11 × 9091 × 716299 × 21561546571_<11> × 415149219432264281_<18> × [3057093659..._<10829>] × [5101623839..._<43398>] (0.07%)

10⁵⁴²⁶⁶+1 = 1000000000..._<54267> = 101 × 338669 × 2314789344752441_<16> × 24533746329343441_<17> × 19479975130329986533201_<23> × 2923500556298303355222653948542706598448­925085853709961673200056984872843366529_<79> × [2071697574..._<1222>] × [4363248009..._<52905>] (0.26%)

10⁵⁴²⁶⁷+1 = 1000000000..._<54268> = 7 × 11 × 13 × 98587220681_<11> × [9221184072..._<18077>] × [1098901098..._<36177>] (0.03%)

10⁵⁴²⁶⁸+1 = 1000000000..._<54269> = 73 × 137 × 265587593 × [3764859640..._<54256>] (0.02%)

10⁵⁴²⁶⁹+1 = 1000000000..._<54270> = 11 × [9090909090..._<54268>] (0.00%)

10⁵⁴²⁷⁰+1 = 1000000000..._<54271> = 61 × 101 × 109 × 181 × 269 × 541 × 1621 × 3541 × 4021 × 8101 × 9901 × 19441 × 24121 × 27541 × 27961 × 68041 × 108541 × 118189 × 119881 × 153469 × 329941 × 347329 × 397981 × 1411021 × 1963369 × 2925721 × 3859201 × 4188901 × 39526741 × 49229101 × 68189581 × 232275601 × 260587121 × 630195301 × 10076053621_<11> × 75812983021_<11> × 999999000001_<12> × 36633267373561_<14> × 99908656408081_<14> × 213172394349469_<15> × 28120888763986481_<17> × 510120596199829501_<18> × 741560771027460361_<18> × 29639179139212862101_<20> × 94927228208573594069_<20> × 440603699857284602629_<21> × 1395068152979602616341_<22> × 4999437541453012143121_<22> × 13029637224192121671301_<23> × 1105097795002994798105101_<25> × 67128593062302476037266041_<26> × 411108592242640071999067201_<27> × 7050947785991136408195676621_<28> × 7997499229153265919258822361_<28> × 59779577156334533866654838281_<29> × 2928335293808624954996524027700428605519­61_<42> × 2187911623791867750065408022595894263802­921_<43> × 2302527353565357450759725122262880394277­261_<43> × 1418492295715348212561834378199028577989­33927761_<48> × 9029573059356805266678618488399930760718­96366838581_<51> × 1607103056527759457698658255252179917706­5559188277159741_<56> × 2724793634966652364625335678635927602947­729873812054161996498021_<64> × 7980290067624957438631001354099654736828­5959759708473463717727701_<65> × 5995443157660664523926782792125621452979­75293811672567632442645781_<66> × 2162285428183283087834338095960846278903­92881018159564738348653328755727601_<75> × 3417960906046748818496363802290102166269­4426433689336713924533473971031414136891­3850637159182300704681_<102> × 9911714928256372292905156623749793772005­6695397183763904238474736246500418974132­909060059378824349483926175101_<110> × 1728698150280068137198270521277194937031­0989327074660585067951779767723632131638­6395986569089804728615411297606100943444­6365564534720661_<136> × 5869910682..._<217> × 1272961120..._<234> × [1556474887..._<475>] × [6906107531..._<515>] × [3047193799..._<758>] × [4061209381..._<1550>] × [8336916834..._<1579>] × [2879114614..._<2371>] × [1318903392..._<4742>] × [2512934047..._<4747>] × [1960320770..._<7111>] × [4305230492..._<14248>] × [7087066741..._<14250>] (3.55%)

10⁵⁴²⁷¹+1 = 1000000000..._<54272> = 11 × 909091 × 255430339 × 2162419745809_<13> × 101188422946007_<15> × 2630437544564183_<16> × [1337137328..._<7715>] × [5086893477..._<46500>] (0.11%)

10⁵⁴²⁷²+1 = 1000000000..._<54273> = 69793793 × 1856104284667693057_<19> × 315827195278624446663038977_<27> × 1567629031101501414376301131777_<31> × [1088190187..._<950>] × [1432792168..._<53241>] (0.15%)

10⁵⁴²⁷³+1 = 1000000000..._<54274> = 7 × 11 × 13 × 1423 × 6637 × 132247 × 7447081 × 9615060929_<10> × 29086316863481_<14> × 501624922248538321_<18> × 2317091604522004723965449_<25> × 14333485763997084637130491135368291169_<38> × 2212236817374327109435022561220753426295­7_<41> × 1327080770360051827311085848069503304359­5534787235597140531_<59> × 6644317454149057909799751015802107695839­2938976011506949065646573_<65> × 1336395914067475494619360928220680511145­1988579353305502489853541907429637950525­53003443246310484435548877_<106> × 1251990291329257796002278912741887225923­3625083098068343593414449482912759813271­7422361832740215079208573831826637913864­4493775947105115101637978649_<148> × [1029486629..._<413>] × [3781846994..._<17771>] × [1814104442..._<35551>] (1.00%)

10⁵⁴²⁷⁴+1 = 1000000000..._<54275> = 89 × 101 × 651289 × 45244781 × 57530441 × 1052788969_<10> × 1056689261_<10> × 4752339989_<10> × 346058276981_<12> × 3020909121111421_<16> × [1099165760..._<4906>] × [1080195756..._<49290>] (0.15%)

10⁵⁴²⁷⁵+1 = 1000000000..._<54276> = 11 × 131 × 251 × 859 × 5011 × 5051 × 9091 × 78157 × 107251 × 169339 × 4271801 × 63716179 × 217534201 × 1058313049_<10> × 82009322851_<11> × 2560937409851_<13> × 6399736845841_<13> × 78875943472201_<14> × 1284450265477803971_<19> × 116011189311149998139_<21> × 272828068791212993437_<21> × 318942474614140390001_<21> × 461278897961764513411218521401_<30> × 8396862596258693901610602298557167100076­327481_<46> × 3015252949189504320875202981299415587115­51656822567015411_<57> × 1495012804425531262945788741160430069296­6728690551568705030373_<62> × 5155980583494268934255123245395069977106­0820328070035168090472947360446489351242­6851_<84> × 1618471741300957926037194539868177094144­6381711386794528198581933829095273175764­3195331250705338664714884091786251_<114> × [4758831767..._<631>] × [8311278083..._<1982>] × [3904859197..._<3308>] × [1105941738..._<7938>] × [4596932323..._<39832>] (1.08%)

10⁵⁴²⁷⁶+1 = 1000000000..._<54277> = 73 × 137 × 108553 × 99990001 × 256681661177_<12> × 326466456830641_<15> × 199207674029312807991817_<24> × [3588557432..._<18072>] × [1537796247..._<36139>] (0.12%)

10⁵⁴²⁷⁷+1 = 1000000000..._<54278> = 11 × 151694829204053_<15> × 5853929460444179_<16> × [1023738538..._<54247>] (0.06%)

10⁵⁴²⁷⁸+1 = 1000000000..._<54279> = 29 × 101 × 281 × 121499449 × [9900990099..._<7752>] × [1009999999..._<46513>] (0.03%)

10⁵⁴²⁷⁹+1 = 1000000000..._<54280> = 7 × 11 × 13 × 19 × 223 × 653 × 4663 × 7253 × 13693 × 52579 × 59659 × 217117 × 228853 × 233743 × 10313011 × 63216943 × 199552099 × 902659997773_<12> × 422650073734453_<15> × 14286890032106357_<17> × 296557347313446299_<18> × 7116181512528105949933_<22> × 62562101977662753776437_<23> × 21606064498691505246200058094681_<32> × 48911689110891303706174193415115219_<35> × 6695347994383903097965599192075381609975­4871899_<47> × 1062881061565441896011124521244632741184­4160316876726377750029028546467748157093­4480831778653_<93> × 2490872691908137575166466088291355643827­7010798919785782748359940807754645959745­5355891186202040764932480402743608729267­5616017146240063168618749945139990951997_<160> × [3949005368..._<306>] × [4373986790..._<967>] × [8014295747..._<5819>] × [8823805191..._<11657>] × [9990010000..._<34992>] (0.99%)

10⁵⁴²⁸⁰+1 = 1000000000..._<54281> = 17 × 21713 × 1331041 × 5070721 × 5882353 × 26337601 × 4550923155313_<13> × 200287761795361_<15> × 1791898411415681_<16> × 82996552138044481_<17> × 1608357139893807878893601_<25> × 19721061166646717498359681_<26> × 88424835854419406860480471361_<29> × 326866013321545141677800244941441_<33> × 1775867753150444278073071788548035842257_<40> × 1205530548914055885457278225432810661628­03459003848166118314367809_<66> × 8295102856587101112151219663083514451877­4133555852877567503980614227065994320281­8322753067885238020768017585089_<111> × [2138026876..._<418>] × [2151163818..._<619>] × 5051671895..._<1818> × [1012000366..._<10192>] × [4992816241..._<40818>] (4.12%)

10⁵⁴²⁸¹+1 = 1000000000..._<54282> = 11 × 103² × 1237 × 4013 × 14009 × 434249 × 44092859 × 102860539 × 984385009 × 21993833369_<11> × 872606202847_<12> × 4717417162891_<13> × 612053256358933_<15> × 175387314348950418251_<21> × 182725114866521155647161_<24> × 909090909090909090909090909091_<30> × 1471865453993855302660887614137521979_<37> × 2511017297567032888250549092510706855294­9771_<44> × [4380694633..._<437>] × [8736350095..._<1614>] × [1329505763..._<3028>] × [2093478416..._<48955>] (0.46%)

10⁵⁴²⁸²+1 = 1000000000..._<54283> = 101 × 9901 × 20929 × 143881 × 309825961 × 940164241 × 115270627429_<12> × 845800954021_<12> × 1033593699289_<13> × 50962217101441_<14> × 335423864232901_<15> × 547865558923909_<15> × 31439160336733424929_<20> × 49369369412784246809_<20> × 26574836366263859584549_<23> × 35701893527078181712481_<23> × 2302396795526516076776837687352113616978­6061_<44> × 4300297028838474156015268798064619519844­2861652725689411586949534183336343885152­2239838194937434654367240751665935313744­1_<121> × 1865425332089086502965356287153468600956­1097057044089856872575427173603219393390­0171521062975638672064604619723224194512­8480195522683026871896337407221841261247­90381_<165> × 9771721622..._<316> × [6178299246..._<356>] × [1009999999..._<17713>] × [7283915340..._<35375>] (1.55%)

10⁵⁴²⁸³+1 = 1000000000..._<54284> = 11 × 868529 × 909090909090909091_<18> × [9090909090..._<2856>] × [1266509235..._<51403>] (0.05%)

10⁵⁴²⁸⁴+1 = 1000000000..._<54285> = 73 × 137 × 121553521 × 36637591407529194237097_<23> × 2245236606248397162554620353530247131809­5554391743324562620485785399554026316658­3148992537007203882503748922397253629192­9859656473_<130> × [9999000099..._<1320>] × [1000099999..._<52801>] (0.30%)

10⁵⁴²⁸⁵+1 = 1000000000..._<54286> = 7² × 11² × 13 × 23 × 127 × 211 × 241 × 331 × 463 × 659 × 2161 × 2689 × 3851 × 4093 × 5171 × 5641 × 6299 × 8317 × 8779 × 9091 × 20681 × 24179 × 61007 × 101641 × 108571 × 344887 × 459691 × 590437 × 909091 × 1411411 × 1575253 × 4147571 × 6514201 × 6658961 × 6712729 × 7444361 × 7489357 × 9127213 × 21138251 × 21997411 × 38961121 × 170873011 × 599144041 × 2142992167_<10> × 4124507971_<10> × 10266487771_<11> × 20163494891_<11> × 29970369241_<11> × 82666448201_<11> × 183411838171_<12> × 1487997133561_<13> × 3845384246419_<13> × 240994376063281_<15> × 1661378260814161_<16> × 4855067598095567_<16> × 265212793249617641_<18> × 4327615799500178641_<19> × 4539402627853030477_<19> × 1160803383934463712259_<22> × 4924630160315726207887_<22> × 18276168846821336356291_<23> × 136094982876222218559943_<24> × 318727841165674579776721_<24> × 19835636682880495867311241_<26> × 297262705009139006771611927_<27> × 451057644185839682262060721_<27> × 30929419076881465780852147783_<29> × 313870848801350310724553929169_<30> × 44174683273406320528355293250333371411_<38> × 1051543809110704722613632495009411089889­481_<43> × 1677113809386268722922187052796817841111­5969_<44> × 1112314101311286003379752617807870409611­285281_<46> × 3815465557445576556927066195758955772398­238343771_<49> × 3007356627055904894814255974151270879659­0524703892560552659_<59> × 8039566261499250311127571481921649700572­0848358970463128898412464716963453686123­6854805849361_<93> × 3443418448467037868174732779131913880029­5165383633122627606920790402425397436033­1148938523782918481623963597196523579507­803885921997278081_<138> × 4286364887150220673583225059177107721806­0654759722155521252580860689593571157627­9570184017568300401917094195916970808292­9486830943679876008361716880663960188314­299305481_<169> × 1669195584..._<274> × 2060024051..._<331> × 1075104008..._<413> × 1081148355..._<476> × [3599365949..._<530>] × [3525352389..._<901>] × [8079092490..._<1055>] × [9091000000..._<1840>] × [1010916456..._<2168>] × [9364500417..._<2702>] × [2820478676..._<3673>] × [1098900989..._<5521>] × [1077989403..._<11023>] × [1360701080..._<22064>] (5.18%)

10⁵⁴²⁸⁶+1 = 1000000000..._<54287> = 101 × [9900990099..._<54284>] (0.00%)

10⁵⁴²⁸⁷+1 = 1000000000..._<54288> = 11 × [9090909090..._<54286>] (0.00%)

10⁵⁴²⁸⁸+1 = 1000000000..._<54289> = 97 × 353 × 449 × 641 × 1409 × 8353 × 9281 × 13249 × 69857 × 90017 × 206209 × 989249 × 1067329 × 19725473 × 57653857 × 242993089 × 478603009 × 490324577 × 4694971009_<10> × 6024841057_<10> × 40336502753_<11> × 66554101249_<11> × 75118313082913_<14> × 692134775442241_<15> × 754651871841089_<15> × 4155351649525441_<16> × 49190086416352961_<17> × 20752917057986878529_<20> × 33700642586529146593_<20> × 363050401891291226709889_<24> × 2546977868727768182069660426273_<31> × 7071614705525771137412357579842860859021­9877617672752248112085912824160137075376­116481_<86> × 3385712628753289239019454468275018070505­6727269149496594755320455272870740814407­0214357217318801663936431733367877452215­20888878951616858121601_<143> × [8890597240..._<351>] × 3240044370..._<388> × [1444805311..._<882>] × [1659794823..._<1143>] × [1197174667..._<2685>] × [3968891338..._<5340>] × [2967302470..._<10733>] × [8598657554..._<32239>] (1.69%)

10⁵⁴²⁸⁹+1 = 1000000000..._<54290> = 11 × 217157 × 552677 × 43648357 × 575571979 × 3107651137435982213_<19> × 131293689927974865167_<21> × 1104211639510104471092325504815084487468­17791459_<48> × 1134592082241812086025433183314893126820­7872250962261786909131335180907668227111­7469696149897954452324260422892067519437­0887660714303521711888923919224666398211_<160> × [5898293291..._<54016>] (0.50%)

10⁵⁴²⁹⁰+1 = 1000000000..._<54291> = 101 × 3541 × 6101 × 21961 × 27961 × 38449 × 51241 × 135281 × 138841 × 1150949 × 1587221 × 2063021 × 9818561 × 131989849 × 57431716021_<11> × 81183810541_<11> × 217345835281_<12> × 555818110301_<12> × 1457410742401_<13> × 27011502947658641_<17> × 28474644365651641_<17> × 336110303423002201_<18> × 8950221294967070861_<19> × 17751033585336286181_<20> × 17716886277230798340041_<23> × 17543231956262911185433476349_<29> × 1014441626560371517458785583858927535968­49_<42> × 3017715087851409052154766305462823594422­1777770161_<50> × 3906966928869778946948862561583471194483­6425801981_<50> × 1770802747819705674494038777570386129969­127178558041_<52> × 2718636359239272594259345429034580133655­1729326489701011779461_<62> × 7574338876826097411632784892018433752805­9461788181539337429709_<62> × 2939694892824021451304337218114229277471­1501573237257023101752921_<65> × 7660395383708237627973789216434577857253­936548886784731800803873631881_<70> × 1642269048916396301246801744101379821902­0735198105711435205769719288157246596331­6155669983775522130343476452777013148685­6721570324295821_<136> × 1854709277039466195504689386640395344414­1877738854819606028843831344546174591125­3465484730154523123384560237055546861306­6960424330102181268271626236526315595661­8360389_<167> × 2293095408647303704463510413366421246664­1273256857671246712962090747869686084527­3528375114013975382707715890725000190512­6900896622451035606748517849622876107204­34009040255487398947007833539127001301_<198> × 3158469855..._<324> × [3789790093..._<10518>] × [1355342480..._<21115>] × [3540999999..._<21120>] (2.83%)

10⁵⁴²⁹¹+1 = 1000000000..._<54292> = 7 × 11 × 13 × [9090909090..._<18096>] × [1098901098..._<36193>] (0.01%)

10⁵⁴²⁹²+1 = 1000000000..._<54293> = 73 × 137 × 7841 × 172849 × 129540713 × 132007121 × 8317645201_<10> × 52781463673_<11> × 1314227116049_<13> × 105076299931077319601_<21> × 127522001020150503761_<21> × 2088195830991883753196547121_<28> × 5010620991340707523594168804430658367520­003649793780623118456073_<64> × 3781177083560380583441154025352663121070­1509683070486332093588590272731625338812­99502797579969_<94> × [6954874703..._<1089>] × [3628063197..._<6589>] × [5590086418..._<46328>] (0.53%)

10⁵⁴²⁹³+1 = 1000000000..._<54294> = 11 × 834591997 × [1089263870..._<54284>] (0.02%)

10⁵⁴²⁹⁴+1 = 1000000000..._<54295> = 101 × 9901 × 1085881 × 16939729 × 1484940901_<10> × 2013692069_<10> × 684434616109_<12> × 1128769365043921_<16> × 147458361514936741_<18> × 10651627943132095669_<20> × [2954003112..._<18055>] × [5071951859..._<36139>] (0.19%)

10⁵⁴²⁹⁵+1 = 1000000000..._<54296> = 11 × 9091 × 742625293 × 129452224253771_<15> × 517052966253992023_<18> × 1004546405486302051094497411_<28> × [2367568451..._<10832>] × [8458801260..._<43391>] (0.13%)

10⁵⁴²⁹⁶+1 = 1000000000..._<54297> = 17 × 325777 × 621937 × 5882353 × 10100113 × 68521553 × 622914354382575137873_<21> × 9900879227786858424257223656804730798555­422102713108259184822982673560177_<73> × [1607879881..._<4923>] × [7191575569..._<49246>] (0.24%)

10⁵⁴²⁹⁷+1 = 1000000000..._<54298> = 7 × 11 × 13 × 19 × 52579 × 325783 × 23890681 × 24687037 × 70541929 × 14175966169_<11> × 24220872147369299_<17> × 1847797658247094903_<19> × 7097652884818979317_<19> × [3753336806..._<1994>] × [5947085677..._<4002>] × [4054759584..._<12053>] × [1810207236..._<36149>] (0.19%)

10⁵⁴²⁹⁸+1 = 1000000000..._<54299> = 101 × 6389 × 28559389 × 1491383821_<10> × 954788558869_<12> × 337306528817969_<15> × 643813433577581_<15> × 2324557465671829_<16> × 14668886999464726296469036050269_<32> × [1106474396..._<3146>] × [4650895613..._<51043>] (0.20%)

10⁵⁴²⁹⁹+1 = 1000000000..._<54300> = 11 × 909091 × 14660731 × 15755840376851_<14> × 1113128806772533977815161_<25> × [8166987536..._<7732>] × [4762066372..._<46516>] (0.09%)

10⁵⁴³⁰⁰+1 = 1000000000..._<54301> = 73 × 137 × 401 × 1201 × 1601 × 13033 × 32401 × 43441 × 1676321 × 2402233 × 99990001 × 502731121 × 675477521 × 5964848081_<10> × 1416861672241_<13> × 3267794836721_<13> × 832845640168001_<15> × 117703209545178769_<18> × 192453118504107893353_<21> × 2022926961077521870116793_<25> × 54688276128174703204513489_<26> × 100009999999899989999000000010001_<33> × 4711806100010561082466291127577601_<34> × 4482637729513780747000872935673625025127­940754401_<49> × 1296944190290577505513857711845642744990­75700947656757821537291527196801_<72> × 1461236573124057038200579394128634953625­7260783370326347124974631092755601_<74> × [2057601374..._<690>] × [6194290085..._<1373>] × [6360840729..._<2838>] × [2301742616..._<5756>] × [1200702689..._<14386>] × [9999999999..._<28800>] (0.85%)