10^11001+1 = 1000000000...<11002> = 7 * 11 * 13 * 1931 * 10037 * 760807 * 1430131 * 1458973 * 89052517 * 166376423 * 909090909090909091<18> * 753201806271328462547977919407<30> * 197130359208641543369948601899772685881314797880591361841987239812905237552876758580360078419442702688883521253076425640461215518675198704069680024806236407348374092599681<171> * [1621951668...<371>] * [1099999999...<3457>] * [9100000000...<6912>] (2.39%)
10^11002+1 = 1000000000...<11003> = 101 * 409318409 * 394378399868681<15> * [6133441512...<10977>] (0.23%)
10^11003+1 = 1000000000...<11004> = 11 * 8978449 * 126711604289<12> * 239904179738520804732158771<27> * [3330824808...<10958>] (0.41%)
10^11004+1 = 1000000000...<11005> = 73 * 137 * 7841 * 9433 * 6162241 * 14176297 * 99990001 * 11189053009<11> * 2438559347089<13> * 83572468886561<14> * 41119423202625601<17> * 603812429055411913<18> * 127522001020150503761<21> * 148029423400750506553<21> * 4006730547253000102117877972641<31> * [1268362829...<503>] * [7220331833...<990>] * [1000099999...<3121>] * [3946125375...<6217>] (1.59%)
10^11005+1 = 1000000000...<11006> = 11 * 2131 * 8521 * 9091 * 11161 * 110051 * 290249 * 237708001 * 3925963357681<13> * 5167617497664851<16> * 1026684688942915478900251<25> * 909090909090909090909090909091<30> * 31321069464181068355415209323405389541706979493156189716729115659<65> * 4857900688365130469291831549890842547443917376935406225054646143856579892970236911030721<88> * 5900342768...<249> * [4627526189...<2092>] * [8260715486...<8395>] (4.71%)
10^11006+1 = 1000000000...<11007> = 101 * 4050209 * 31194531667553321<17> * 26714288163779567341<20> * [2933452874...<10962>] (0.40%)
10^11007+1 = 1000000000...<11008> = 7 * 11 * 13 * 19 * 2447 * 36691 * 52579 * 183451 * 726463 * 37834729 * 54792847 * 1174953223<10> * 393088786327<12> * 3772295061863<13> * 3902839933752088939<19> * 126680186757939299738647<24> * 12941700832995370692424291<26> * 58084598736152825736147877<26> * 34306363284480147048040791365885893<35> * [1564850758...<1167>] * [5318377491...<2400>] * [2180584727...<7238>] (1.85%)
10^11008+1 = 1000000000...<11009> = 10753 * 176129 * 8253953 * 9524994049<10> * 73171503617<11> * 1616596633...<225> * [5677656717...<10747>] (2.37%)
10^11009+1 = 1000000000...<11010> = 11 * 607 * 809 * 1213 * 1327067281<10> * 3338786746233023<16> * 14060959683864286267405933000927102019<38> * 19364383321148719295180578853325741855858987848620134943<56> * 11500490394117824585468796003575163076836624586334794818271756072956027758946488969<83> * [1099999999...<10801>] (1.90%)
10^11010+1 = 1000000000...<11011> = 61 * 101 * 3541 * 9901 * 27961 * 433061 * 4188901 * 6517921 * 36334469 * 39526741 * 3454871941<10> * 22388570761<11> * 67073622054984121<17> * 6856295012927633680741<22> * 5199635803411913284713990963149<31> * 477831525305437062109716658084501<33> * 5240670838...<694> * [5002550396...<1416>] * [1473097333...<1443>] * [2824060999...<1465>] * [2681850758...<2911>] * [3771874485...<2912>] (7.86%)
10^11011+1 = 1000000000...<11012> = 11^3 * 23 * 463 * 859 * 4093 * 4357 * 8009 * 8779 * 24179 * 25169 * 51767 * 590437 * 909091 * 1485397 * 7444361 * 21705503 * 1058313049<10> * 22144088539<11> * 109313560357<12> * 264752347289<12> * 18372813539653<14> * 44247044139299<14> * 1556448384777652367<19> * 4539402627853030477<19> * 104730101107272149081<21> * 216031795247629116757<21> * 4924630160315726207887<22> * 102502981431359171598893<24> * 82618024434905595106111659338321<32> * 50678387411703889101759125785290439894389920385627096501794498837<65> * 544471001372579296332291652675646774644208265246405598834086237345292487<72> * 34607524609209512562213651270561528862879196390936320471942325254862879783<74> * [5817850330...<653>] * [1000000000...<661>] * [5442824518...<1307>] * [1452048134...<7889>] (4.57%)
10^11012+1 = 1000000000...<11013> = 73 * 137 * 264289 * 10571521 * 155995993 * [2294175118...<10988>] (0.22%)
10^11013+1 = 1000000000...<11014> = 7 * 11 * 13 * 44053 * 23187174011<11> * 39482026264767542628862117<26> * 1163015871692713252760095729<28> * 3059346759646825975141748361824956517<37> * [2909077557...<3619>] * [2393169906...<7288>] (0.97%)
10^11014+1 = 1000000000...<11015> = 101 * 132169 * 1321681 * 815917121 * 2896373609<10> * [2398400727...<10983>] (0.29%)
10^11015+1 = 1000000000...<11016> = 11 * 9091 * 13219 * 44593127 * 7036592075969256556621561<25> * 6055889093853522371939670185927<31> * 76179004467076342877840445457742271571<38> * [3342932280...<2122>] * [1563241109...<8784>] (1.00%)
10^11016+1 = 1000000000...<11017> = 17^2 * 433 * 1297 * 8929 * 54673 * 77761 * 5882353 * 20798209 * 30297889 * 2342167489<10> * 5637065089<10> * 13355595217<11> * 9999999900000001<16> * 460584519480938691217<21> * 491413179769291800875985377355914924161<39> * 111994624258035614290513943330720125433979169<45> * 42329002505294251119371713750694841859239120433<47> * 111026658464799772810971884821271839945529173378999198369<57> * 440441087557478776852171834625638618412949059374084837579531425633661269203803741415744566525108430933975383194546209<117> * 3178246571075235723080972275640135632212436318968968029466533249264048115754831736073020454216579035062833710671458881<118> * 10209076607930569913922070622494428090671480292064954172591269153271836953190308682801647817951310297094548858967419962633393<125> * [1397229892...<408>] * [1000000000...<769>] * [1000000000...<2305>] * [1043914007...<6885>] (5.93%)
10^11017+1 = 1000000000...<11018> = 11 * 47 * 139 * 2531 * 40237 * 2952557 * 531896929 * 1899591271579<13> * 549797184491917<15> * 164719072210122197898900607<27> * [7573485234...<446>] * [6678036642...<10490>] (0.74%)
10^11018+1 = 1000000000...<11019> = 29 * 101 * 281 * 220361 * 121499449 * 31760068204068839447245615309<29> * 5136312214710009846154683885938261<34> * [2754298784...<1505>] * [1009999999...<9433>] (0.74%)
10^11019+1 = 1000000000...<11020> = 7 * 11 * 13 * 190997 * 294174517887183853928279539<27> * [4759713027...<3667>] * [3735541428...<7318>] (0.32%)
10^11020+1 = 1000000000...<11021> = 73 * 137 * 233 * 457 * 132241 * 355193 * 1403417 * 1676321 * 49474001 * 124217441 * 5964848081<10> * 21591416633<11> * 11073890085900641<17> * 5240808656722481737<19> * 442538882251054324977361<24> * 12231385993824607429587973444912801<35> * 17468739848498438039329935679794457<35> * 297478330786365628414805305290302483555043017<45> * 320326994163169943384295066992439316655840979654890345228609<60> * 8176505920...<254> * [4567882870...<417>] * [1000099999...<2017>] * [5496771215...<8035>] (5.01%)
10^11021+1 = 1000000000...<11022> = 11 * 1237 * 1499 * 28463 * 74687 * 392263 * 795653 * 44092859 * 102860539 * 984385009 * 612053256358933<15> * 182725114866521155647161<24> * 1471865453993855302660887614137521979<37> * 9140689231828972552925524522037823147045937571379494322686226282352288670801988451<82> * [1099999999...<10813>] (1.90%)
10^11022+1 = 1000000000...<11023> = 89 * 101 * 7349 * 9901 * 44089 * 114229 * 1052788969<10> * 1056689261<10> * 5419170769<10> * 7112123174641<13> * 476103356904941<15> * 789390798020221<15> * 2361000305507449<16> * 554615079640817581<18> * 39640920610683813364681<23> * 411603787218349354280868589<27> * 1387401303965667453093373669<28> * 11330146155773631399355243982343786649<38> * 198607499132490748242152175454768755769289<42> * 473422134866090530705347772603209509527842120964263087241<57> * 256791351938897604127766524249910803570004341949762240760779741<63> * 15082430268839895518120138007695651193149092773167884646166709770422465462163749312903859494420307404069<104> * [7803852504...<622>] * [2478000860...<3299>] * [7965367367...<6600>] (4.55%)
10^11023+1 = 1000000000...<11024> = 11 * 293 * 181288487 * 153653579173<12> * 12331942624071394811<20> * 10826684964539959837294043117<29> * 286578888976194997999922592330908602103011<42> * 2646756758131654397378192081701748003041997<43> * 999882306178377345161889846655198592766347086896770989636138585751423<69> * [1099999999...<10801>] (2.02%)
10^11024+1 = 1000000000...<11025> = 353 * 449 * 641 * 1409 * 1697 * 69857 * 1373761 * 19725473 * 10159652257<11> * 40336502753<11> * 754651871841089<15> * 49190086416352961<17> * 50666791195245169449313<23> * 12009319775706514220108801<26> * 33857126287532892390194544682750180705056727269149496594755320455272870740814407021435721731880166393643173336787745221520888878951616858121601<143> * [7049611193...<775>] * [9842856573...<9974>] (2.50%)
10^11025+1 = 1000000000...<11026> = 7^3 * 11 * 13 * 19 * 127 * 197 * 211 * 241 * 251 * 491 * 1051 * 2161 * 2521 * 2647 * 2689 * 5051 * 9091 * 18131 * 22051 * 29611 * 52579 * 57331 * 131041 * 270001 * 459691 * 617401 * 909091 * 3762091 * 3969001 * 4147571 * 5274739 * 6007303 * 7691041 * 36360451 * 61651801 * 3612546001<10> * 5650149331<10> * 11933166001<11> * 29970369241<11> * 299547376801<12> * 525326613841<12> * 8320908344491<13> * 8985695684401<13> * 78875943472201<14> * 117601149473851<15> * 1661378260814161<16> * 2622832433505481<16> * 171395840525121451<18> * 184721167146702691<18> * 265212793249617641<18> * 3146327779391852182051<22> * 18276168846821336356291<23> * 22771401850597648936801<23> * 21735175185467169918304051<26> * 110036866034467834124918851<27> * 17911809459808314248342142601<29> * 189772422673235585874485732659<30> * 653518704357372488880162997801<30> * 1275784731048123659634702312820051<34> * 5076141624365532994918781726395939035533<40> * 10000099999999989999899999000000000100001<41> * 5240352469572867909569390990706187998335241601<46> * 521360091675342950454314391509789458781157156524647<51> * 24971969849212163241656989542667006849298004553698828087959894069143145851<74> * 142857157142857142856999999985714285714285857142857142855714285571428571428572857143<84> * 4512103729930413243964733865733316041820936901915809527857742889751595541910708971709035851<91> * 29689777727695129732880485994429776791862651873860748152980797376212977017452165562616616651<92> * 924113758530847383764787530400912659976463549693743820952869672176334445090649182638712486115217201<99> * 3703689986333387654119799556297939637260602734804685908570705293684097466301976659345706127014344391317072899730001<115> * 171885313809023973316297299617001972028698082056007969699724137675797535402763434997577528908814962221209301350715566313549141490281<132> * 120622614235915199576581497469018868407707605017747288090414823252809120990020468006404654192783823649565330780189120560373136335881321217099486033747043873580418793246097727626773386959905463<192> * [4808418242...<287>] * [1053458505...<663>] * 1908268586...<795> * [1475495720...<967>] * [1604613569...<1656>] * [1191402794...<5023>] (22.07%)
10^11026+1 = 1000000000...<11027> = 101 * 149^2 * 3109 * 10729 * 111149 * 607921 * 22272521 * 708840373781<12> * 3325613804069<13> * 136916416686052955621<21> * 669031686661427842829<21> * 40548140514062774758071840361<29> * 12463671098882718881327685400890631793963396331809714158641277443477408779299864788341586092901595083520271865575162918829366361<128> * 8895507508554837180752614096475159767380814608706479209439730943455128688243292437421408196724545840220038878927488419955380770391177802169<139> * [9151534348...<10634>] (3.56%)
10^11027+1 = 1000000000...<11028> = 11 * 286703 * 2628518955543306014561<22> * 326480507152506070136982103<27> * [3694934191...<10973>] (0.49%)
10^11028+1 = 1000000000...<11029> = 73 * 137 * 99990001 * 362858116619657<15> * 125236186253263447977817<24> * 36589712083031898888572803513<29> * 2623552005321388434037145143121<31> * [2870589296...<3599>] * [7985711078...<7321>] (0.99%)
10^11029+1 = 1000000000...<11030> = 11 * 269539 * 2582401 * 38358863 * 8497160128493<13> * 111313974473927689<18> * 2670502781396266997<19> * 3404193829806058997303<22> * 1306056668...<257> * [3031820375...<10683>] (3.14%)
10^11030+1 = 1000000000...<11031> = 101 * 3541 * 27961 * 419141 * 24574841 * 118627319101<12> * 10475695271216561<17> * 21713252105872754461<20> * 848787650843384174801<21> * 564501056655193333578341<24> * 379734028873536797744282021<27> * 7227537640807768291288003861<28> * [1613946787...<2156>] * [2516053435...<4304>] * [6737735033...<4403>] (1.53%)
10^11031+1 = 1000000000...<11032> = 7 * 11 * 13 * 22063 * 983219482339<12> * 11260150934161<14> * 59200490407921<14> * 102820295299573<15> * 1442969586696023<16> * 683719153938800885881<21> * [6407662986...<3649>] * [1062840103...<7287>] (0.87%)
10^11032+1 = 1000000000...<11033> = 17 * 113 * 44129 * 441281 * 639857 * 5882353 * 1043230049<10> * 821051411809<12> * 2132291099537<13> * 30183837435421297<17> * 73765755896403138401<20> * 8253246381141980783041<22> * 119968369144846370226083377<27> * 51546655086810435375156162737<29> * 38502343839226173798827280932338097<35> * [9535007507...<1464>] * [9321222312...<9361>] (1.88%)
10^11033+1 = 1000000000...<11034> = 11^2 * 23 * 103 * 1889 * 4013 * 4093 * 6491 * 8779 * 192611 * 21993833369<11> * 40012410197<11> * 1284680342573<13> * 6315203673292075607<19> * 125797399492676917721<21> * 1090805842068098677837<22> * 4411922770996074109644535362851087<34> * 55957395872359820769658435528889482277826574998014018514928782197341726428854387236670658714503098749571<104> * [4235321311...<566>] * [1099999999...<929>] * [9090909091...<9280>] (2.35%)
10^11034+1 = 1000000000...<11035> = 101 * 9901 * 3773629 * 20817481 * 999999000001<12> * 2149907130405534590488241<25> * 504392963324080336398758570422609<33> * [9130402158...<1167>] * [4851686858...<2441>] * [2649971685...<7338>] (0.81%)
10^11035+1 = 1000000000...<11036> = 11 * 9091 * 582649 * 19576091 * 100175731 * 33718872641590419281<20> * [1560271980...<2201>] * [1663515304...<8790>] (0.41%)
10^11036+1 = 1000000000...<11037> = 73 * 137 * 1489 * 22073 * 88289 * 158777 * 169184992153<12> * 640543322297<12> * 27908132670449<14> * 704592755191361<15> * 118638175449391414217<21> * 12752082957943488321497<23> * 384705444182230291105649<24> * 205634535002357125750465106981645977<36> * 97645954668018846467287180866355758374263120864803042536883990817097<68> * [2581359359...<292>] * [3375936956...<10503>] (2.19%)
10^11037+1 = 1000000000...<11038> = 7 * 11 * 13^2 * 157 * 859 * 1699 * 6397 * 14717 * 216451 * 241117 * 9170899 * 38033503 * 67546441 * 715880197 * 1058313049<10> * 388847808493<12> * 29631394714247<14> * 30196342070862943<17> * 104438313801067819<18> * 13478805583322152953257717<26> * 1941850545413860134349140850659019<34> * 7198295568559013885196835567543447<34> * 61945573305222690279363663578823967<35> * 49019999488937337866558715558211303750925973449<47> * 151168348012920493188164812150408056175148228488823<51> * 4834389726736518293852244130660191969670797610633948645694761977558159678896763591712097243317272920296826630341374217553659008741548305187653<142> * [1197459604...<482>] * [1791884616...<3325>] * [1173054682...<6737>] (4.49%)
10^11038+1 = 1000000000...<11039> = 101 * 47042189921<11> * 6211441070089<13> * [3388431621...<11013>] (0.23%)
10^11039+1 = 1000000000...<11040> = 11 * 167 * 997 * 9463 * 909091 * 3565183 * 2097307081<10> * 60176593933<11> * 8614430601169<13> * 909090909090909091<18> * 7742098247001476863<19> * 3513787028861043344411<22> * 247025236977306025681323889<27> * 22284639767043539427670611660521<32> * 219119174290471302336478616276327<33> * 33924399706846018566481718349000999107579<41> * 61828645758322140842666144519962696417487<41> * 72021403933746126426491665754465510017877<41> * 943176903141330068482602900960294299878841<42> * [2417949630...<410>] * [5304976475...<1440>] * [3003345850...<8822>] (3.34%)
10^11040+1 = 1000000000...<11041> = 193 * 769 * 19841 * 88321 * 136897 * 976193 * 1404289 * 3091201 * 6187457 * 25687873 * 32620993 * 23747834881<11> * 873388871233<12> * 253549846684801<15> * 834427406578561<15> * 83115883946780353<17> * 1253224535459902849<19> * 1776447133160385409<19> * 30942987586585490641217<23> * 53215260047387609436459521<26> * 894705848646498831447982849<27> * 275568764703416069789958894913<30> * 76996357306427057284490116314433<32> * 53763491189967221358575546107279034709697<41> * 269540431689328877571039011529688228976641<42> * 25847314845878688998082949169327534633072641<44> * 543185295592672549499302394643640275918374120256093130759988042950370991361<75> * 2642485680977517391378418105893565400120906568749114540486543532701285392233930427735879112610561<97> * 99999999999999999999999999999999000000000000000000000000000000009999999999999999999999999999999900000000000000000000000000000001<128> * [4565408279...<645>] * [1794973218...<1284>] * [2127648265...<2786>] * [5372610813...<5601>] (6.58%)
10^11041+1 = 1000000000...<11042> = 11 * 13757 * 81131 * 5694174931<10> * 1467439874822650361<19> * 40969776802515604126739<23> * 11205222530116836855321528257890437575145023592596037161<56> * 57813769227978665304109403799291636496876923883191635824278127299864929561<74> * 778918424933155393480511088578762495409547716376329687166271120021739022042090054703<84> * [4715180062...<10768>] (2.48%)
10^11042+1 = 1000000000...<11043> = 101 * 3908869 * 159336061 * [1589693628...<11026>] (0.15%)
10^11043+1 = 1000000000...<11044> = 7 * 11 * 13 * 19 * 52579 * 53171 * 426997 * 3813517 * 70541929 * 1008741241<10> * 14175966169<11> * 7833811446444211<16> * 1358791302758702868906124409<28> * 1889142577340213131496648834727637<34> * 1070453760938027595699552600393152583819019423<46> * 89909332182322637174267412766780073091874834080069255427757<59> * 1399506617...<318> * [1299085706...<747>] * [3254009603...<2403>] * [1000000000...<7345>] (4.98%)
10^11044+1 = 1000000000...<11045> = 73 * 137 * 617 * 48465089 * 88631113 * 50357901089<11> * 2686222158313<13> * 48584622189833<14> * 97896927315612782469089<23> * 16205834846012967584927082656402106953<38> * [4894107047...<948>] * [7393224254...<9977>] (1.08%)
10^11045+1 = 1000000000...<11046> = 11 * 5641 * 6299 * 8837 * 9091 * 20681 * 22091 * 21997411 * 22620161 * 1283484033996607<16> * 4855067598095567<16> * 3813307731001850321<19> * 297262705009139006771611927<27> * 4286364887150220673583225059177107721806065475972215552125258086068959357115762795701840175683004019170941959169708082929486830943679876008361716880663960188314299305481<169> * [1046616181...<2121>] * [4420835024...<8641>] (2.57%)
10^11046+1 = 1000000000...<11047> = 29 * 101 * 281 * 5261 * 9901 * 36821 * 119929 * 226549 * 15716881 * 121499449 * 10147422629<11> * 160574023009<12> * 4458192223320340849<19> * 4280253128974390110643847990514769<34> * 13268398183394556944627542607703521<35> * [1182680989...<482>] * [6426204983...<1041>] * [6315396071...<3096>] * [6166003575...<6277>] (1.37%)
10^11047+1 = 1000000000...<11048> = 11 * 56008281757168425259<20> * [1623136580...<11027>] (0.19%)
10^11048+1 = 1000000000...<11049> = 17 * 4573873 * 5882353 * 32503217 * [6726506197...<11026>] (0.20%)
10^11049+1 = 1000000000...<11050> = 7 * 11 * 13 * 59 * 2287 * 3557 * 110491 * 142289023 * 857772733 * 1094479651<10> * 1125629957<10> * 451897625287<12> * 638453709757<12> * 37180580799727<14> * 135080726389891<15> * 30578452131328086487<20> * 616896149073719728613<21> * 2677419740324599997893<22> * 10860110813777339731289<23> * 1053449334720579590200819<25> * 154083204930662557781201849<27> * 1274194732898148471766404179653<31> * 36099531273603138218699301565567581705151216702113889<53> * 4444349792156709907895752551798631908946180608768737946280238078881<67> * 227106988265159616528571981140572415396122551755756282296008613353922816015404819504625289055134338407924996143023758066472872886277706507970899321<147> * [6996718215...<3515>] * [2989463558...<7002>] (4.82%)
10^11050+1 = 1000000000...<11051> = 101 * 521 * 1301 * 3541 * 4421 * 5101 * 26861 * 27961 * 44201 * 60101 * 63649 * 198901 * 508301 * 1211081 * 2311921 * 3221501 * 7019801 * 28559389 * 431684501 * 1491383821<10> * 1248821288261<13> * 3281116456801<13> * 7568346838961<13> * 14103673319201<14> * 1680588011350901<16> * 2324557465671829<16> * 5356388516287901<16> * 158621640452332721<18> * 1031498834064949381<19> * 1900051373962924001<19> * 7239775671637271201<19> * 7981845074717035601<19> * 12763852652999774041<20> * 52756042539394310741<20> * 237612993541791006121<21> * 1900381976777332243781<22> * 12119730504567977254081<23> * 228874386456730629545201<24> * 6219342207515923652594221<25> * 14305987221084718242712901<26> * 23098714167966114959599501<26> * 9617937539686528098542338201<28> * 1988731184935761442996825520561<31> * 2737820036624672031089487008281<31> * 329926770882952905235470361014177766008571741<45> * 2095984910297609187763730708273246358018472392101<49> * 32228072787206910077588738662288637382824935282889<50> * 1051361091529803074497312148085134194834726090632313891925201<61> * 9928937563...<206> * 7763644894...<237> * [6535808879...<242>] * [1948394174...<245>] * [1921467971...<249>] * [6309489198...<727>] * [1843277529...<745>] * [7437228715...<3803>] * [2144874211...<3815>] (11.11%)
10^11051+1 = 1000000000...<11052> = 11 * 30841 * 57009401 * 2182600451<10> * 7306116556571817748755241<25> * 41236044512156603777979544195943152517271779<44> * 6621650829759394867011952029659651154933062041670057842400167<61> * 1079532167431061415165932592055901092454451592309148326151617900514215922407756340218895879841860600138403440141998167181967545309634241890872640207<148> * [1099999999...<10753>] (2.71%)
10^11052+1 = 1000000000...<11053> = 73 * 137 * 3169 * 98641 * 1304137 * 3359809 * 23258321 * 99990001 * 3199044596370769<16> * 3261937287102289<16> * 17280667161656209<17> * 928609787614113451844377<24> * 191775431955294351157247516891521<33> * [4629615844...<1193>] * [3648690658...<2388>] * [5786813614...<7328>] (1.30%)
10^11053+1 = 1000000000...<11054> = 11 * 6317 * 176849 * 909091 * 73192967 * 72553063619<11> * 2705434720141022813<19> * [5319359945...<1556>] * [1171291321...<9445>] (0.48%)
10^11054+1 = 1000000000...<11055> = 101 * 22109 * 871386821 * 107038232074011207830921<24> * 996752247202400518950581<24> * [4816952773...<10992>] (0.56%)
10^11055+1 = 1000000000...<11056> = 7 * 11^2 * 13 * 23 * 211 * 241 * 331 * 2011 * 2161 * 4093 * 4423 * 5171 * 7237 * 8779 * 9091 * 667321 * 1945681 * 248807851 * 599144041 * 4124507971<10> * 7261216121<10> * 17830074841<11> * 20163494891<11> * 27847549423<11> * 183411838171<12> * 1002120250891<13> * 3495251584969<13> * 851109498533797<15> * 18278200953943355041<20> * 318727841165674579776721<24> * 19835636682880495867311241<26> * 45360300267343173645804799921<29> * 5106142986008803018248662015009851<34> * 1112314101311286003379752617807870409611285281<46> * 909090909090909090909090909090909090909090909090909090909090909091<66> * 220589842618680198991086731354678488275926380957742565496334997548411735059<75> * 3027630197...<243> * [2670656122...<489>] * 3950078275...<650> * [5886349052...<1304>] * [2550860645...<2603>] * [1098890109...<5281>] (12.49%)
10^11056+1 = 1000000000...<11057> = 353 * 449 * 641 * 1409 * 66337 * 69857 * 61516127404879765082958014177<29> * [2450502698...<11007>] (0.45%)
10^11057+1 = 1000000000...<11058> = 11 * [9090909090...<11056>] (0.01%)
10^11058+1 = 1000000000...<11059> = 101 * 229 * 389 * 2281 * 4789 * 9901 * 14980681 * 304077901 * 52875286008709<14> * 722817036322379041<18> * 739653893349540289<18> * 1369778187490592461<19> * 33950736420661075851541<23> * 78412655334235167606162810513004420610966509546603404268745999503561001<71> * 32459577600675557860942537579547020207960799876413377335594586605416959347268194103170247296625068200526946320832808609<119> * [6742009859...<377>] * [1009999999...<3457>] * [9901000000...<6912>] (2.83%)
10^11059+1 = 1000000000...<11060> = 11 * 4595158230173531<16> * [1978366932...<11043>] (0.15%)
10^11060+1 = 1000000000...<11061> = 73 * 137 * 7841 * 12641 * 259121 * 851761 * 1676321 * 4550401 * 8317121 * 73921249 * 5964848081<10> * 59729574241<11> * 513697405201<12> * 245291677963417<15> * 127522001020150503761<21> * 1174155661036370531158387153086358732085761158354280249987966107746175275693416345665039841<91> * 5220170227...<299> * [1738650644...<1238>] * [4077186834...<1858>] * [3918201457...<7459>] (4.58%)
10^11061+1 = 1000000000...<11062> = 7 * 11 * 13 * 19 * 2459 * 52579 * 173733899 * 1949870444059<13> * [2127963722...<1217>] * [1098901098...<2457>] * [5133674404...<7356>] (0.30%)
10^11062+1 = 1000000000...<11063> = 101 * 44249 * 5151507029<10> * [4343510434...<11046>] (0.15%)
10^11063+1 = 1000000000...<11064> = 11 * 47 * 139 * 859 * 2531 * 7253 * 30637 * 714841 * 40538237 * 1058313049<10> * 32494323733<11> * 78426117823<11> * 2348555453641<13> * 422650073734453<15> * 549797184491917<15> * 1690016281413487<16> * 296557347313446299<18> * 20130793437324025887419<23> * 161293576452574036129333<24> * 1281657376897297354090423403366881099978010686253604381263<58> * 75691170432105638169937308505913924514228814615635050477687293<62> * 348953870513908636566325964119116561382775844756670203139413369145466843559239862216107575333780861060309557540714055579224966141897413<135> * [8299292652...<406>] * [3270801938...<739>] * [4515921898...<9482>] (3.95%)
10^11064+1 = 1000000000...<11065> = 17 * 5882353 * 9999999900000001<16> * [9999999900...<3680>] * [1000000009...<7361>] (0.22%)
10^11065+1 = 1000000000...<11066> = 11 * 9091 * 110651 * 119503 * 1261411 * 8883797869631161<16> * 10519442301875293663<20> * [7231623227...<2188>] * [8871104936...<8821>] (0.51%)
10^11066+1 = 1000000000...<11067> = 89 * 101 * 1084469 * 1052788969<10> * 1056689261<10> * 8634648901<10> * 294438494401<12> * 21874136756081304476073821<26> * [3591056289...<977>] * [4617325068...<10015>] (0.68%)
10^11067+1 = 1000000000...<11068> = 7^2 * 11 * 13 * 103 * 127 * 373 * 1303 * 2689 * 4013 * 17851 * 44641 * 51647 * 240437 * 459691 * 909091 * 10439437 * 1142669053<10> * 1868879293<10> * 3590254957<10> * 21894760973<11> * 21993833369<11> * 291078844423<12> * 340395399499<12> * 789785653609<12> * 2824342443499<13> * 714643900169011<15> * 53966938048156099<17> * 313360308665807383<18> * 377526955309799110357<21> * 579210707460230341693<21> * 5673320472670315859129<22> * 1536326161629017683534583<25> * 909090909090909090909090909091<30> * 134910124895643680784194263388480883007609<42> * 18381907262281244633158190677786966663091011<44> * 25110172975670328882505490925107068552949771<44> * 25540795299896197421506059449931706821324283570117<50> * 103746647830421551242486430622636901002236971549990724717454338463<66> * 22059227904420770836064175243763866620796477930349180699067305041042773585346008483552759881065631106663670362701807674552261329<128> * 50977541370231360097422604330793793064304571681703551061560590392185357117757553184746462337689256059548993949459969138428154776147453363952154496055738664500588151369161896201893451398241<188> * 2619301706...<301> * [4380694633...<437>] * [2388248399...<907>] * [7322323849...<2826>] * [7574219100...<5720>] (10.65%)
10^11068+1 = 1000000000...<11069> = 73 * 137 * 4673507193238566832535273<25> * [2139506731...<11040>] (0.26%)
10^11069+1 = 1000000000...<11070> = 11 * 407985541049<12> * [2228242958...<11057>] (0.11%)
10^11070+1 = 1000000000...<11071> = 61 * 101 * 109 * 181 * 541 * 821 * 3541 * 9901 * 12301 * 27961 * 44281 * 68389 * 153469 * 329941 * 509221 * 639601 * 1092241 * 1667881 * 2324701 * 2546101 * 4188901 * 19960441 * 39526741 * 49229101 * 59090021 * 68189581 * 72314161 * 440049721 * 9227715841<10> * 11596877881<11> * 661661361181<12> * 999999000001<12> * 11036695406441<14> * 41787784142581<14> * 3836248678366981<16> * 45864055719491041<17> * 801075695283809641<18> * 1073380218518144441<19> * 7749361782961639741<19> * 66881844823755776761<20> * 433207579959564140089<21> * 4999437541453012143121<22> * 13029637224192121671301<23> * 38233653831390765808009<23> * 1105097795002994798105101<25> * 216667590115007379484962361<27> * 580617266024481216883346461<27> * 1266925593264677597290950641<28> * 1350059351915828990550200161<28> * 59779577156334533866654838281<29> * 7170172761396005732191662987589<31> * 15127518961700358866020315013711540641<38> * 18083439727099436159112817133086310461<38> * 139074671904011778473984366758527524121792121<45> * 141849229571534821256183437819902857798933927761<48> * 3061973722987905774729667496411417875958731844861<49> * 457895480864588289788933440485885121235069590184761<51> * 902957305935680526667861848839993076071896366838581<51> * 83991579034720609392656974112397395006880745482841386049<56> * 1447745997018511893740076606031686237538345362413531560645573104006506749609<76> * 554997773096088237513524958962449928676083464040648051002127127164539795044109<78> * 377232254779363832566657848595478700324930619830395906281633432610242399995425182118630038629742647815490833575187477845254601<126> * [3024549116...<220>] * [3359669192...<233>] * [4437742030...<414>] * [4581416438...<917>] * [3007836784...<926>] * [2659126625...<1362>] * [3927181227...<2874>] * [4302058651...<2874>] (11.32%)
10^11071+1 = 1000000000...<11072> = 11 * 464983 * 563477277133<12> * 608602723759539741861973875546979<33> * [5701116827...<11020>] (0.46%)
10^11072+1 = 1000000000...<11073> = 1265011073<10> * 15343168188889137818369<23> * 515217525265213267447869906815873<33> * [9999999999...<11008>] (0.58%)
10^11073+1 = 1000000000...<11074> = 7 * 11 * 13 * 9921409 * 15753335641<11> * 596512999851529<15> * 3999464146797339088149023689<28> * [2273031775...<3663>] * [1178671589...<7349>] (0.57%)
10^11074+1 = 1000000000...<11075> = 29 * 101 * 281 * 6329 * 158201 * 2373001 * 121499449 * 52743988481<11> * 54797396349781<14> * 19414612962818669<17> * 132305743681936841<18> * 34453877927677573724583746662925863572929<41> * 62554557765317517282085861045655294434955453111717816503072219942390838369658841<80> * 999999999999990000000000000099999999999999000000000000009999999999999900000000000001<84> * 226813030797815731197778256645639265718556459184651841552579161651406131077524640644151258260029762686434793845331341<117> * [1233789363...<1289>] * [9399642559...<9378>] (3.68%)
10^11075+1 = 1000000000...<11076> = 11 * 251 * 887 * 2659 * 5051 * 9091 * 78875943472201<14> * 97773824792731<14> * 3646836465960880692292201915543408162476049<43> * [1056936920...<394>] * [1125034233...<1755>] * [1000009999...<8841>] (0.79%)
10^11076+1 = 1000000000...<11077> = 73 * 137 * 313 * 5113 * 22153 * 140297 * 1101673 * 1580801 * 4672937 * 6188929 * 99990001 * 11473030297<11> * 24743141593<11> * 465399516529<12> * 56329832813593<14> * 273919647900781361<18> * 1358074433371719716641<22> * 291593563046646669491593<24> * 632527440202150745090622412245443923049201<42> * 7323941687838105624847742701467683590147273<43> * 22848119041855139346027890461325138752752437281<47> * 44647705187364612522122975648958308190023012536081192611094211843306393900887680445089061753<92> * 667445373322555748825141520503793291652186991286836837554650386381311674104658216820684054966269965371491433<108> * [6790882346...<538>] * [2880979727...<3345>] * [8012823249...<6702>] (4.44%)
10^11077+1 = 1000000000...<11078> = 11^2 * 23 * 419 * 4093 * 8779 * 26183 * 85691 * 216877 * 258743 * 8176841 * 22574927 * 7718763757<10> * 6385133303099<13> * 909090909090909091<18> * 3096825432750653910867529<25> * 80130271534233515728987750894609<32> * 29374061102839796677177079236872451361<38> * 9090909090909090909090909090909090909090909090909091<52> * 118406308604014738032986880393983553483698736486523737091214336891111037216663569858459578047055026965068496734007753047724699784687389349031013172664108401383134457213<168> * [8732297044...<440>] * [6411964542...<893>] * [5217148652...<9343>] (3.62%)
10^11078+1 = 1000000000...<11079> = 101 * 349 * 38861 * 77929 * 106961 * 618049 * 3422517148069<13> * 11811806375201836408679635736258669583187541<44> * 13968004259021399202183274452648726337203224861<47> * [8503930644...<324>] * [2951044381...<10628>] (1.14%)
10^11079+1 = 1000000000...<11080> = 7 * 11 * 13 * 19 * 52579 * 1611627878459041<16> * 467459835642909387128312401<27> * 8500614695927155829161050714503<31> * [1069441377...<1200>] * [1458644753...<2419>] * [1000999998...<7381>] (0.74%)
10^11080+1 = 1000000000...<11081> = 17 * 576161 * 5070721 * 5882353 * 93577249 * 19721061166646717498359681<26> * 34943632126922619243357121<26> * 59477588638906902284505761<26> * [1854752069...<2195>] * [4811479135...<8781>] (0.95%)
10^11081+1 = 1000000000...<11082> = 11 * 3167 * 909091 * 8117940601<10> * [2870511238...<1579>] * [1355023329...<9483>] (0.18%)
10^11082+1 = 1000000000...<11083> = 101 * 9901 * 69528469 * 58603544269<11> * 1352262986341<13> * 6765340009303356421<19> * 51179444758084772213561<23> * [4747844727...<3651>] * [1104002738...<7354>] (0.71%)
10^11083+1 = 1000000000...<11084> = 11 * 66499 * 908807 * 930973 * 50604979 * [3192935915...<11058>] (0.23%)
10^11084+1 = 1000000000...<11085> = 73 * 137 * 2609 * 1764313 * 152533657 * 182420473 * 4545499111409<13> * 68957517130769<14> * 65552746171882583264230070868884366877803237222654400793<56> * [4778870723...<626>] * [7950386350...<10346>] (1.01%)
10^11085+1 = 1000000000...<11086> = 7 * 11 * 13 * 211 * 241 * 2161 * 2957 * 9091 * 22171 * 25127 * 33077641 * 127427249 * 672017041 * 230035417481<12> * 562398184441<12> * 1921210063699<13> * 72822009528244357<17> * 480012184867282833757080041<27> * 7354101158829833032701257969559251929<37> * [9601808569...<722>] * [1068049783...<1411>] * [1188863229...<2890>] * [2751130589...<5897>] (1.51%)
10^11086+1 = 1000000000...<11087> = 101 * 1289 * 83869 * 265555009 * 61896232441<11> * 958427491961<12> * 18371524594609<14> * 4181003300071669867932658901<28> * [7182215783...<456>] * [1053809504...<10549>] (0.74%)
10^11087+1 = 1000000000...<11088> = 11 * 47317923151986569<17> * [1921240089...<11070>] (0.16%)
10^11088+1 = 1000000000...<11089> = 97 * 353 * 449 * 641 * 673 * 1409 * 2017 * 7393 * 11969 * 13249 * 29569 * 69857 * 123553 * 206209 * 518113 * 1067329 * 1454209 * 4913921 * 9396577 * 232722337 * 43735845217<11> * 66554101249<11> * 470909313601<12> * 75118313082913<14> * 56763828581443201<17> * 210732524523217313<18> * 11229398470301331937<20> * 77700458351603754241<20> * 1278617056088606602369<22> * 7731101997740126174401<22> * 465149401935712615628055361<27> * 10215086310294631363838442664001<32> * 20275219423179517169965224971521<32> * 217860610452031121598489279950204653537<39> * 155944009296214054100626916003794407157304353<45> * 70716147055257711374123575798428608590219877617672752248112085912824160137075376116481<86> * 99866972524271704433794047804855032844718975174004188801858970187176731955358724384510844782429115617<101> * 361057759540097288072937247979725352972055181853408265699800478521559326591153094457376181755912540092512773699689532234798987224827675649<138> * [8093692585...<315>] * 1685768492...<551> * [6011670792...<880>] * [1000000000...<961>] * [1368350632...<1874>] * [9999999999...<5760>] (11.73%)
10^11089+1 = 1000000000...<11090> = 11 * 859 * 3413 * 136481 * 13218089 * 1058313049<10> * 1282886411<10> * [1951636045...<844>] * [6486879170...<10208>] (0.34%)
10^11090+1 = 1000000000...<11091> = 101 * 3541 * 13309 * 27961 * 1264261 * 1596961 * 5844540901<10> * 61297978801<11> * 2786821191693421<16> * 2387090416040006205011899809781<31> * 407776237784959972701044863785957701<36> * [1358320520...<2119>] * [9982762608...<4411>] * [2824060999...<4433>] (1.16%)
10^11091+1 = 1000000000...<11092> = 7 * 11 * 13 * 170063 * [5345612561...<3691>] * [1098901098...<7393>] (0.07%)
10^11092+1 = 1000000000...<11093> = 73 * 137 * 70313 * 79337 * 485041 * 118710721 * 395026241 * 6578404633<10> * 6218964172073<13> * 3410758635375200561<19> * 169905327561162104198557246291921<33> * 32394937980403032343941480318880086318307142570248235727782772042697<68> * 27851538931791182813585932285490596820623900747164894668499167046712090201879423948069199442816537475115348268729799177<119> * 36837015057313006096634536795587748230336921494253255771361450341226561526611901358724245001042863132758337028749847212746321<125> * [1000099999...<10673>] (3.79%)
10^11093+1 = 1000000000...<11094> = 11 * 1296239237<10> * 11048591465981011<17> * [6347683087...<11067>] (0.24%)
10^11094+1 = 1000000000...<11095> = 101 * 9901 * 22189 * 338669 * 1161403975541<13> * 52990818938641<14> * 8045181580990560114237163201<28> * 13441721102334727627682496494535257828666281<44> * 202026760686388880964731015757788959143121139209<48> * 46229724820742226005075125617528225785246749164469<50> * 2923500556298303355222653948542706598448925085853709961673200056984872843366529<79> * [8610268442...<3600>] * [8504751696...<7206>] (2.60%)
10^11095+1 = 1000000000...<11096> = 11 * 9091 * 66571 * 909091 * 3536453 * 4147571 * 12361733 * 265212793249617641<18> * 68009240067498931554643059611689714176253<41> * 274615609644013922993995246232974390841373964547585372623<57> * 1113440267...<206> * [1652354629...<1260>] * [1099999890...<1897>] * [9091000909...<7584>] (3.21%)
10^11096+1 = 1000000000...<11097> = 17 * 22193 * 134369 * 2951537 * 5882353 * 19010286241<11> * 31735795756961<14> * 234504682039452385472228601837391217101263308508305719138749905156540866534427238711769806579683320997636600725852987602204289<126> * [5260310009...<566>] * [1526636913...<10358>] (1.56%)
10^11097+1 = 1000000000...<11098> = 7 * 11 * 13 * 19 * 823 * 1459 * 4933 * 52579 * 70541929 * 364393423 * 2458921051<10> * 14175966169<11> * 117651465889<12> * 195349634929<12> * 441651480271681<15> * 676321006412903<15> * 456502382570032651<18> * 533823991710350917<18> * 36497963117203265504917<23> * 610600386089858349939139<24> * 8508206757542431599270703<25> * 218801242136856556680173235529<30> * 14881155992657195128437244984378939<35> * 248605498102525656309486086139544662977893<42> * 135238230631321944924974183810091904866809004766932500659<57> * 3244569580634956101009646791013296826459859399717968478099<58> * 203836449860090594223289898801537221687748623599366460589088063098888531417711686527248294546247282437382306667288672207557471524899<132> * [1363597801...<779>] * [1000000000...<2449>] * [6016575361...<7308>] (5.07%)
10^11098+1 = 1000000000...<11099> = 101 * 2049349 * 530819489 * 7788750761855821<16> * 23506752288228975421289<23> * 483128549554512237305554588359039822397307149685578249<54> * [2394770832...<332>] * [4296637781...<10658>] (0.98%)
10^11099+1 = 1000000000...<11100> = 11^2 * 23 * 4093 * 8779 * 121081 * 123592845889<12> * 24498699495047<14> * 5630600680627007087<19> * 9644780571997314437<19> * 526905291628027093289<21> * 873234964696345278371172272680705837<36> * [9571423822...<903>] * [1140513246...<10062>] (1.22%)
10^11100+1 = 1000000000...<11101> = 73 * 137 * 401 * 1201 * 1601 * 32401 * 35521 * 1676321 * 9892321 * 61544617 * 99990001 * 5964848081<10> * 54615849443593<14> * 16444765848115921<17> * 31495401976675753<17> * 5158143091517340832801<22> * 1881052756669931358587761<25> * 4805245671633605313329281<25> * 13984912678975811030518001<26> * 18837370424185047846474799441<29> * 100009999999899989999000000010001<33> * 4711806100010561082466291127577601<34> * 4482637729513780747000872935673625025127940754401<49> * 78423397189035946058321607200546180176617061948406580747828212881<65> * 129694419029057750551385771184564274499075700947656757821537291527196801<72> * 14612365731240570382005793941286349536257260783370326347124974631092755601<74> * 987958734776503660730847298429926744644928427487850380038560428638070909650210480224210297181360032908354907525523774393<120> * 7413647414915912456095291913585548438617298422325378879679910834861418508044083512279141934598325099533634759172455661729929526151907909705700148668130193294652504402201795631932236872015298449<193> * [2141973864...<502>] * [1512767593...<1117>] * [7150563060...<2855>] * [9999999999...<5760>] (7.82%)