10^10101+1 = 1000000000...<10102> = 7^2 * 11 * 13^2 * 127 * 157 * 223 * 859 * 2689 * 2887 * 4663 * 6397 * 7253 * 29527 * 102103 * 158731 * 216451 * 459691 * 909091 * 21705503 * 1058313049<10> * 1961853739<10> * 5786378053<10> * 78426117823<11> * 96697267717<11> * 134986808293<12> * 388847808493<12> * 126294442654927<15> * 422650073734453<15> * 1690016281413487<16> * 35609160681564653<17> * 127227421112773339<18> * 296557347313446299<18> * 5406655992229067083561<22> * 21606064498691505246200058094681<32> * 37344700192938647404842813656089<32> * 37672875265989278190934777676413<32> * 48911689110891303706174193415115219<35> * 4748510899300162563150136104999362670229727801<46> * 3091086674769589337569777240589592264676648718635101423877<58> * 50678387411703889101759125785290439894389920385627096501794498837<65> * 74941782666871080572139707864851693613852773414268140020183607240075991444673103041682886153162527722083599097543<113> * 8912569571903773640423787742857701624820835919699625957033503601168338923351027082278688276455237261214743926133405384757726021771250608797<139> * [1855820022...<389>] * [8299292652...<406>] * [3969394594...<779>] * [6776678047...<2544>] * [1899117166...<5175>] (8.02%)
10^10102+1 = 1000000000...<10103> = 101 * 87018629 * [1137801205...<10093>] (0.10%)
10^10103+1 = 1000000000...<10104> = 11 * 222699152789041<15> * 2241405113527503841<19> * [1821245080...<10070>] (0.33%)
10^10104+1 = 1000000000...<10105> = 17 * 6737 * 1960177 * 5882353 * 94236641 * 474118600609<12> * 9999999900000001<16> * [8035600954...<3342>] * [2109176920...<6709>] (0.53%)
10^10105+1 = 1000000000...<10106> = 11 * 1721 * 5641 * 6299 * 9091 * 20681 * 7275601 * 21997411 * 37602727 * 57009401 * 2182600451<10> * 1172644955303<13> * 4855067598095567<16> * 1624393053107105478863<22> * 7306116556571817748755241<25> * 297262705009139006771611927<27> * 18920435284033918144809657490533251<35> * 33781299214344096622678014073990188169665709715070094241770549427870082246252574520661531768110670247373718269979462963849500442241<131> * 4286364887150220673583225059177107721806065475972215552125258086068959357115762795701840175683004019170941959169708082929486830943679876008361716880663960188314299305481<169> * [1535732872...<1892>] * [1249518768...<7722>] (4.88%)
10^10106+1 = 1000000000...<10107> = 101 * 80849 * 202121 * 505301 * 2000989 * 2049349 * 498698470009<12> * 496192541419741<15> * 934858306267243289<18> * 76232914055207003005318654163381<32> * 483128549554512237305554588359039822397307149685578249<54> * 2604342325...<281> * [1317784518...<9666>] (4.36%)
10^10107+1 = 1000000000...<10108> = 7 * 11 * 13 * 19 * 13477 * 52579 * 397543 * 801924552361<12> * [9090909090...<1122>] * [2051073712...<2235>] * [1248247102...<6721>] (0.30%)
10^10108+1 = 1000000000...<10109> = 73 * 137 * 457 * 7841 * 1403417 * 24600009616561<14> * 260827749862793<15> * 5240808656722481737<19> * 127522001020150503761<21> * 297478330786365628414805305290302483555043017<45> * [3834331280...<418>] * [9999999999...<1368>] * [4065039061...<8195>] (1.26%)
10^10109+1 = 1000000000...<10110> = 11^2 * 23 * 3677 * 4093 * 8779 * 20219 * 1495303063<10> * 26739216002033063<17> * 1298843838385017895997731<25> * [1222796009...<911>] * [2118155570...<9131>] (0.68%)
10^10110+1 = 1000000000...<10111> = 61 * 101 * 3541 * 8089 * 9901 * 27961 * 181981 * 4188901 * 39526741 * 221301161 * 2734168621<10> * 20012077741<11> * 33849654961<11> * 299107821101<12> * 5938136708249<13> * 14901484123861<14> * 31275833988360461<17> * 74520755774469061<17> * 315646072948477441<18> * 5401097916131696461<19> * 500886356409960490141<21> * 39896052962853836345960821<26> * 67079887303595804787649681<26> * 10223058070529785670688357361<29> * 27059960733094256545658977321<29> * [1315786716...<619>] * [5564183616...<1290>] * [4609810479...<1305>] * [6015723191...<1305>] * [1725962923...<2638>] * [1212799056...<2643>] (3.10%)
10^10111+1 = 1000000000...<10112> = 11 * 416741123489<12> * 758809539343<12> * 4241405555081<13> * 324690567739019<15> * 1462231903573041318902797<25> * [1427619416...<10036>] (0.75%)
10^10112+1 = 1000000000...<10113> = 257 * 15361 * 453377 * 808961 * 8696321 * 138392833 * 101834403870163846913<21> * 55871187633753621225794775009016131346430842253464047463157158784732544216230781165223702155223678309562822667655169<116> * [1008622676...<9944>] (1.67%)
10^10113+1 = 1000000000...<10114> = 7 * 11 * 13 * 5921889637<10> * [9090909090...<3370>] * [1855659538...<6731>] (0.13%)
10^10114+1 = 1000000000...<10115> = 101 * 521 * 121369 * 68050337401<11> * 1900381976777332243781<22> * 12732967786842381210845984691402901<35> * 1763722658625922307781888583674044509<37> * 1355157068675915381446032476103133130496209<43> * [4780780164...<653>] * [8321729601...<9307>] (1.53%)
10^10115+1 = 1000000000...<10116> = 11 * 103 * 4013 * 8093 * 9091 * 14281 * 42841 * 87211 * 674731 * 909091 * 4147571 * 17088571 * 511438099 * 787223761 * 1868879293<10> * 21993833369<11> * 2637489648641<13> * 265212793249617641<18> * 587063793048979091<18> * 44882748462742602371<20> * 5673320472670315859129<22> * 40410112822629936463361201<26> * 414274740272340666685694771<27> * 42323992639419349049079264521<29> * 22309443196006787833758691239331<32> * 15670675217372765545752167365705617247353811<44> * 160220794821014452066741918303580917664386555934641<51> * 1965071455547075976451793652436868115828909241266827512665803201<64> * 103746647830421551242486430622636901002236971549990724717454338463<66> * 1136558791710654899629429576107642694020211020408036719308522808314581197380973<79> * 6923777301528230940787780295400313221683793149948747168301754689555692396138969010514764869002307736762791042459773879699664648964996271733<139> * 1769728718...<238> * 2623043673...<1050> * [1235635734...<1629>] * [2039113212...<6470>] (19.95%)
10^10116+1 = 1000000000...<10117> = 73 * 137 * 3169 * 20233 * 98641 * 2470553 * 16873489 * 99990001 * 9789947833<10> * 1042729757737<13> * 3199044596370769<16> * 1907970179607389844478430713<28> * 1125096610491026258717069231764777<34> * [3597266234...<1081>] * [9796958805...<2218>] * [1535193924...<6682>] (1.35%)
10^10117+1 = 1000000000...<10118> = 11 * 60703 * 181288487 * 153653579173<12> * 12331942624071394811<20> * 2646756758131654397378192081701748003041997<43> * 909090909090909090909090909090909090909090909090909090909090909091<66> * 999882306178377345161889846655198592766347086896770989636138585751423<69> * [1812101543...<9896>] (2.19%)
10^10118+1 = 1000000000...<10119> = 101 * 30407434946255321<17> * [3256108289...<10100>] (0.18%)
10^10119+1 = 1000000000...<10120> = 7 * 11 * 13 * 1451287219<10> * 6895527899891143<16> * 1285078656174974902928511371<28> * [7074204405...<3345>] * [1098089445...<6720>] (0.54%)
10^10120+1 = 1000000000...<10121> = 17 * 3643201 * 5070721 * 5882353 * 10100113 * 34540001 * 393238561 * 743709121 * 1261547057<10> * 1608357139893807878893601<25> * 19721061166646717498359681<26> * 218524201166171139219321617<27> * 88424835854419406860480471361<29> * 326866013321545141677800244941441<33> * 62716385987763617906038889384985304875217698799039986699716641<62> * 120553054891405588545727822543281066162803459003848166118314367809<66> * 9900879227786858424257223656804730798555422102713108259184822982673560177<73> * 829510285658710111215121966308351445187741335558528775675039806142270659943202818322753067885238020768017585089<111> * 1578473983...<234> * [2151163818...<619>] * [3627413026...<1725>] * [2744838920...<7034>] (7.35%)
10^10121+1 = 1000000000...<10122> = 11 * 59 * 3491 * 60727 * 121453 * 154083204930662557781201849<27> * 3361543170437980531667161105832265329<37> * 35927713091621749764338565947172319082597<41> * 2156200781...<268> * [1491429096...<9735>] (3.82%)
10^10122+1 = 1000000000...<10123> = 29 * 101 * 281 * 9901 * 67481 * 83869 * 226549 * 6073201 * 121499449 * 253686241 * 262065329 * 265555009 * 478669381 * 61896232441<11> * 4623621436309<13> * 4458192223320340849<19> * 74622491486167655269<20> * 32464737499260315107965009<26> * [7182215783...<456>] * [3981291953...<952>] * [1235230559...<2855>] * [1405866612...<5700>] (1.59%)
10^10123+1 = 1000000000...<10124> = 11 * 383 * 40493 * 679961 * 4041943 * 955059211 * 3707751211<10> * 78087485383<11> * 1600776953157143<16> * 9090909090909090909090909090909090909090909090909091<52> * 3370796736173938091727422330529475982098304687381174810841794785884893349397<76> * 34355007868290105260151014423846456692008580727031775135173625397961285416300659<80> * [4576898941...<9851>] (2.69%)
10^10124+1 = 1000000000...<10125> = 73 * 137 * 781585475249<12> * 503273419200458199521<21> * [2542003237...<10088>] (0.36%)
10^10125+1 = 1000000000...<10126> = 7 * 11 * 13 * 19 * 211 * 241 * 251 * 811 * 1459 * 2161 * 2251 * 4051 * 5051 * 6481 * 9091 * 11251 * 21001 * 29611 * 52579 * 81001 * 162251 * 270001 * 371251 * 1931851 * 3762091 * 24644251 * 70541929 * 78246001 * 1892963251<10> * 2458921051<10> * 5203440001<10> * 10893295001<11> * 14175966169<11> * 213872067091<12> * 577603663291<12> * 8431749675001<13> * 8484452325001<13> * 8985695684401<13> * 31023833790241<14> * 78875943472201<14> * 71764372708675651<17> * 456502382570032651<18> * 25005172023963824973001<23> * 610600386089858349939139<24> * 59244397795882902986928930001<29> * 115690846857912397278375911371<30> * 10000099999999989999899999000000000100001<41> * 8610583349234340055547908764091017276717091<43> * 4709825349852110182615878875374419529306990314325041101342026868334001<70> * 14332371646347867103751140722104256371688921437307256086517631268211025054763001<80> * 269409792871731627664586194662281233853701011108906726055753272681082282441709251<81> * 1377206548249672561974389193550868011092077967769298773550347641588817070607865681921<85> * 36184868586619075547214474979916728567474724193812138011846129157788970353909164911894611<89> * 3703689986333387654119799556297939637260602734804685908570705293684097466301976659345706127014344391317072899730001<115> * [2693595438...<355>] * [2085889017...<584>] * [1780554358...<1054>] * [3032193534...<1778>] * [5672086671...<5367>] (9.78%)
10^10126+1 = 1000000000...<10127> = 101 * 303781 * 789829 * 1587221 * 81183810541<11> * 180051499609<12> * 12295589182414223305349<23> * 101444162656037151745878558385892753596849<42> * 23023967955265160767768376873521136169786061<44> * 75743388768260974116327848920184337528059461788181539337429709<62> * 4300297028838474156015268798064619519844286165272568941158694953418333634388515222398381949374346543672407516659353137441<121> * [1901435525...<9796>] (3.27%)
10^10127+1 = 1000000000...<10128> = 11 * 859 * 305369 * 2268449 * 10410557 * 20289179 * 38816051 * 82266809 * 1058313049<10> * 353260760112204881<18> * 909090909090909091<18> * 2670502781396266997<19> * 3404193829806058997303<22> * 5780277672136021382565530998301988506064011453<46> * 438725907577156177685201819419114255533305134233669402807964649891016719989703392491612289098617653<99> * 785169466067103922302074341602058239426162618120338520239766767222347973614225900721518268190627331693<102> * [2655119735...<410>] * [1587956928...<709>] * [8732394521...<8633>] (3.72%)
10^10128+1 = 1000000000...<10129> = 97 * 353 * 449 * 641 * 1409 * 69857 * 141793 * 206209 * 2835841 * 22706977 * 56331937 * 66554101249<11> * 75118313082913<14> * 188004683351041<15> * 17776369619910364558482715969<29> * [4397875423...<3317>] * [1322801453...<6695>] (1.16%)
10^10129+1 = 1000000000...<10130> = 11 * 909091 * 1255997 * 7813801 * 9723841 * 6844914847<10> * 2499925524881<13> * 1311843581195246419<19> * 67433239007516266361<20> * 13151548172068925304859<23> * [1000027661...<1380>] * [5263456890...<8641>] (1.08%)
10^10130+1 = 1000000000...<10131> = 101 * 3541 * 20261 * 27961 * 158029 * 9056221 * 84366489401<11> * 2830992581689<13> * 32139764106711281<17> * 12648149638483984621<20> * [6885895349...<1990>] * [2465471951...<4023>] * [2092263824...<4033>] (0.84%)
10^10131+1 = 1000000000...<10132> = 7 * 11^2 * 13 * 23 * 4093 * 7369 * 8779 * 550606957 * 599144041 * 183411838171<12> * 3311436805543<13> * 43792442846195935916779099<26> * 1490473286202873492575327109823<31> * 5523722596446330977448218249241349336929189661174997<52> * 4491267979654040991517174292809986926580431222945624648462333<61> * 2029528428657053384033771551046459064471855763867979888746704611<64> * 3658227236500563547693639851770301083718182348713994302520564971238177222520611617505129<88> * 6184565377...<574> * [1099999999...<3061>] * [9100000000...<6120>] (9.39%)
10^10132+1 = 1000000000...<10133> = 73 * 137 * 1193 * 15497 * 25033 * 60793 * 152533657 * 227220233 * 61533934460188297<17> * 6460628216230645169<19> * 65552746171882583264230070868884366877803237222654400793<56> * [2160506596...<581>] * [1821182282...<9424>] (1.27%)
10^10133+1 = 1000000000...<10134> = 11 * 418857689 * 15825840997<11> * [1371431197...<10114>] (0.20%)
10^10134+1 = 1000000000...<10135> = 101 * 9901 * 11261 * 20269 * 3364489 * 999999000001<12> * [4337798208...<1116>] * [3001938749...<2242>] * [1000000999...<6745>] (0.32%)
10^10135+1 = 1000000000...<10136> = 11 * 9091 * 709451 * 680796329 * 8226133561<10> * 23017233641<11> * 39304401611<11> * 16449075823228219<17> * 3840557516666373619<19> * 719923332603258291971<21> * [2113753469...<1983>] * [2893940624...<8047>] (1.05%)
10^10136+1 = 1000000000...<10137> = 17 * 113 * 2897 * 5882353 * 48341624801<11> * 17906504371057<14> * 172577741915057<15> * 73765755896403138401<20> * 119968369144846370226083377<27> * 3741284323572778169733000409441<31> * 46186243200327796436048713490806993<35> * 5087286777331456707429506704063523681<37> * [4706801710...<1310>] * [5584562957...<8627>] (1.97%)
10^10137+1 = 1000000000...<10138> = 7 * 11 * 13 * 373 * 44641 * 1216441 * 2873325893<10> * 3590254957<10> * 52783723933<11> * 3338786746233023<16> * 329048478049414171<18> * 105111973311564520921<21> * 605875291364496459769<21> * 909090909090909090909090909091<30> * 14060959683864286267405933000927102019<38> * 18381907262281244633158190677786966663091011<44> * 19364383321148719295180578853325741855858987848620134943<56> * 1098901098...<217> * [3828316177...<3231>] * [6763243108...<6405>] (4.95%)
10^10138+1 = 1000000000...<10139> = 101 * 149 * 3109 * 111149 * 162209 * 718606649 * 40160350429<11> * 708840373781<12> * 669031686661427842829<21> * 9046819942360641786061<22> * 40548140514062774758071840361<29> * 11621897163409200201223887528138662702903389700229845471814520224606678003269<77> * 1651732052430074361873884440693609861769561877782463897348222686035759826875067120033981<88> * 178720049686128661890023146702383771619725932844782734965468342419910154928823674286045929<90> * [6882567512...<9765>] (3.68%)
10^10139+1 = 1000000000...<10140> = 11 * [9090909090...<10138>] (0.01%)
10^10140+1 = 1000000000...<10141> = 73 * 137 * 313 * 4057 * 28393 * 152777 * 190633 * 1101673 * 1580801 * 1676321 * 1784641 * 66365521 * 99990001 * 555550321 * 5964848081<10> * 49344930961<11> * 25957017187921<14> * 37357747738793<14> * 127184409052793<15> * 45318302218291441<17> * 183187794354414929<18> * 4487398067478973921<19> * 1358074433371719716641<22> * 291593563046646669491593<24> * 14365079587241523025573488668713<32> * 70299582392905445997961959643489<32> * 100009999999899989999000000010001<33> * 120920505705101252491925533049923433521<39> * 632527440202150745090622412245443923049201<42> * 7323941687838105624847742701467683590147273<43> * 175067038724863563854848045107963303611128869041<48> * 6279815040943032407714418831204387527919360005277361<52> * 7523020307427066273763456609903850552762967576510974081<55> * [3357526645...<358>] * [3767618315...<538>] * [9000960863...<1208>] * [8574273155...<2451>] * [2026550611...<4982>] (5.96%)
10^10141+1 = 1000000000...<10142> = 11 * 101411 * 478127900917687<15> * 573203444032234115236773059<27> * [3270915847...<10094>] (0.47%)
10^10142+1 = 1000000000...<10143> = 89 * 101 * 1052788969<10> * 1056689261<10> * 4826297069441<13> * 10426191195249393969109<23> * 9900990099...<920> * [2007158360...<9166>] (9.63%)
10^10143+1 = 1000000000...<10144> = 7^3 * 11 * 13 * 19 * 47 * 127 * 139 * 197 * 967 * 2531 * 2647 * 2689 * 20287 * 29303 * 31051 * 33811 * 52579 * 459691 * 909091 * 5274739 * 6007303 * 18297973 * 1569936761<10> * 37916801893<11> * 1026627301813<13> * 143574021480139<15> * 549797184491917<15> * 143409436964525899<18> * 426231293073408134173<21> * 1203881882727712699967<22> * 831759677425747570837717<24> * 24649445347649059192745899<26> * 78240613290392831995076641<26> * 545105590754735525905804303<27> * 23391028206417273637358380573<29> * 189772422673235585874485732659<30> * 7775058388319250595762800404689<31> * 117680633072620952134930832292859<33> * 5342512091349500920639852868215477<34> * 3309383964775818489317002654646529291847<40> * 5076141624365532994918781726395939035533<40> * 1880709802856952955373413305337158032187793270681<49> * 521360091675342950454314391509789458781157156524647<51> * 142857157142857142856999999985714285714285857142857142855714285571428571428572857143<84> * 120622614235915199576581497469018868407707605017747288090414823252809120990020468006404654192783823649565330780189120560373136335881321217099486033747043873580418793246097727626773386959905463<192> * 8396109478...<226> * [2343800223...<772>] * [3412620209...<920>] * [2012305447...<1799>] * [1834506959...<5518>] (11.21%)
10^10144+1 = 1000000000...<10145> = 19841 * 976193 * 1805633 * 6187457 * 834427406578561<15> * 2334026825590202891713<22> * [2372819339...<10085>] (0.59%)
10^10145+1 = 1000000000...<10146> = 11 * 9091 * 109567 * 30869970872131<14> * 409673091198371411<18> * 594457239016215094567010503<27> * [1395747710...<1997>] * [8697905475...<8081>] (0.67%)
10^10146+1 = 1000000000...<10147> = 101 * 229 * 1069 * 2281 * 4789 * 9901 * 38449 * 138841 * 304077901 * 481339769 * 216444191869<12> * 15231448005649<14> * 52875286008709<14> * 236174516917501<15> * 722817036322379041<18> * 739653893349540289<18> * 1369778187490592461<19> * 32648575030150733389<20> * 33950736420661075851541<23> * 833845535443385228657693694666672878355349<42> * 18547092770394661955046893866403953444141877738854819606028843831344546174591125346548473015452312338456023705554686130669604243301021812682716262365263155956618360389<167> * [1133072310...<308>] * [8884573670...<3145>] * [9198726383...<6292>] (3.96%)
10^10147+1 = 1000000000...<10148> = 11 * 293 * 557 * 2503 * 73952005703<11> * 10826684964539959837294043117<29> * 286578888976194997999922592330908602103011<42> * 652065570931334169846518762110895357104035953330623783530923329412897765703841859492780362601926814638167836591846272150911969126521<132> * [1487451205...<9926>] (2.19%)
10^10148+1 = 1000000000...<10149> = 73 * 137 * 20297 * 568289 * 59081657 * 395026241 * 6218964172073<13> * 3410758635375200561<19> * 277641151780258438310079109077611969<36> * 2645778409917434965592366282025495569<37> * 38993135849791157061060738352944105076217<41> * 34908493290773859017057784025792153817150916131843303273<56> * 32394937980403032343941480318880086318307142570248235727782772042697<68> * 36837015057313006096634536795587748230336921494253255771361450341226561526611901358724245001042863132758337028749847212746321<125> * [1467539024...<9727>] (4.16%)
10^10149+1 = 1000000000...<10150> = 7 * 11 * 13 * 103 * 3583 * 4013 * 40597 * 284173 * 21993833369<11> * 51423818851<11> * 291078844423<12> * 1302554658007<13> * 3545105703277<13> * 10765760180213<14> * 12277415800813<14> * 499961753160703<15> * 377526955309799110357<21> * 180724074168604579796294647309331<33> * 314293140427626491056008875724151058487007<42> * 34156671999167558280316457548021397439888515117317065783422183070342102287109965498971<86> * [4578798353...<370>] * [1099999999...<3169>] * [1577712463...<6312>] (2.96%)
10^10150+1 = 1000000000...<10151> = 29^2 * 101 * 281 * 349 * 421 * 701 * 3541 * 11369 * 27961 * 38861 * 60101 * 60901 * 68209 * 118901 * 618049 * 2392501 * 2582161 * 3471301 * 3488701 * 5005981 * 7019801 * 12606301 * 13489841 * 121499449 * 192322201 * 422100001 * 60368344121<11> * 140678573701<12> * 1125310645201<13> * 14103673319201<14> * 27690838620061<14> * 103989425194901<15> * 117513682863781<15> * 400450755477401<15> * 1680588011350901<16> * 65403145102331325101<20> * 122678497066960463501<21> * 512592628798218592009<21> * 848654483879497562821<21> * 1767955366388381478541<22> * 14087942679857610940613213182901<32> * 396096831570425720680992129087061<33> * 618332557258791533720221794227287741<36> * 11811806375201836408679635736258669583187541<44> * 213567756617511209506778605497489645838025587933288349770601<60> * 4729413357148090640380520548670420819661897089600775548490401<61> * 2004594328563924403139229874961691116225480361118012967681424919657782526297077161<82> * 2022907403453455435045739409943184658625113693600363497128797657397794468271632034457525101<91> * 2973385658387841660090191886374395419376540691403988974383959767974439471407978471880584291823101<97> * [2212002950...<273>] * [9668803101...<527>] * [2121330493...<541>] * [4127092593...<616>] * [9223913877...<652>] * 7149664700...<3295> * [9900498006...<3360>] (41.21%)
10^10151+1 = 1000000000...<10152> = 11 * 385739 * 80416223 * 12948514091<11> * [2263341880...<10127>] (0.24%)
10^10152+1 = 1000000000...<10153> = 17 * 433 * 8929 * 84977 * 1604017 * 3056129 * 5882353 * 7257553 * 801310897 * 71306567377<11> * 9999999900000001<16> * 112315360420307377<18> * 17432639655812883290745409<26> * 24675897452175673572108819041<29> * 491413179769291800875985377355914924161<39> * 497739854873037449538282211022770570513<39> * 111994624258035614290513943330720125433979169<45> * 42329002505294251119371713750694841859239120433<47> * 111026658464799772810971884821271839945529173378999198369<57> * 3147442559...<245> * [1377874898...<730>] * [1000000000...<2209>] * [5550752690...<6601>] (6.05%)
10^10153+1 = 1000000000...<10154> = 11^2 * 23 * 859 * 1847 * 4093 * 8779 * 51767 * 290249 * 1038731 * 1058313049<10> * 22144088539<11> * 264752347289<12> * 26073303180887<14> * 104730101107272149081<21> * 9836692748438760158338693<25> * 21087607449185737846314615475439333<35> * 31321069464181068355415209323405389541706979493156189716729115659<65> * 34607524609209512562213651270561528862879196390936320471942325254862879783<74> * [5105204900...<635>] * [2284176899...<824>] * [9090909091...<8400>] (2.91%)
10^10154+1 = 1000000000...<10155> = 101 * 426469 * [2321620117...<10147>] (0.08%)
10^10155+1 = 1000000000...<10156> = 7 * 11 * 13 * 211 * 241 * 2161 * 9091 * 16249 * 24373 * 629611 * 1218601 * 1620739 * 28263050731<11> * 2034363958841<13> * 40215202479188743<17> * 1288273728898354139<19> * 55213466645715153488371<23> * 1373109878288117159960471296998025386367<40> * [3162767257...<615>] * [1098686959...<1320>] * [5407041327...<2692>] * [4785421002...<5369>] (1.59%)
10^10156+1 = 1000000000...<10157> = 73 * 137 * [9999000099...<10152>] (0.04%)
10^10157+1 = 1000000000...<10158> = 11 * 2903 * 60943 * 909091 * 2465185157<10> * [3131556696...<1447>] * [7321823717...<8686>] (0.24%)
10^10158+1 = 1000000000...<10159> = 101 * 9901 * 291316978911881929<18> * 1786838360858671069<19> * [9900990099...<3384>] * [1940304426...<6733>] (0.41%)
10^10159+1 = 1000000000...<10160> = 11 * 40637 * 142930826056049<15> * 11871909024540601<17> * 123724471422754529<18> * [1065573975...<10107>] (0.52%)
10^10160+1 = 1000000000...<10161> = 353 * 449 * 641 * 1409 * 69857 * 81281 * 487681 * 1634881 * 18453761 * 238069121 * 947147262401<12> * 896605378941211086401<21> * 349954396040122577928041596214187605761<39> * [9606379860...<1981>] * [1230299824...<8060>] (1.18%)
10^10161+1 = 1000000000...<10162> = 7 * 11 * 13 * 19 * 4517 * 47419 * 52579 * 914491 * 4027637503<10> * 1000200418803989047<19> * 1230333931582280203219<22> * 801301324543202548378237<24> * 9465950155910630392155121<25> * [4641147783...<1114>] * [1177539629...<2187>] * [2484829926...<6741>] (1.19%)
10^10162+1 = 1000000000...<10163> = 101 * 13352869 * 493304129 * 34301627761<11> * 279909534355968989<18> * 653809618076468812799369<24> * [2394448831...<10093>] (0.69%)
10^10163+1 = 1000000000...<10164> = 11 * 20327 * 167201677 * [2674812836...<10150>] (0.13%)
10^10164+1 = 1000000000...<10165> = 73 * 137 * 617 * 2377 * 7841 * 16369 * 432961 * 99990001 * 6796152793<10> * 6850590209<10> * 7247800561<10> * 11189053009<11> * 24387741577<11> * 3343315789969<13> * 3699790640393<13> * 43713344481832873<17> * 603812429055411913<18> * 126197002179733470481<21> * 127522001020150503761<21> * 148029423400750506553<21> * 204833308955201167809722617<27> * 283830826522232279893972777<27> * 53241089690155545084545617441<29> * 16205834846012967584927082656402106953<38> * 780010410791719540565140196582552053062384449<45> * 262533769339473652474903068060921237392956780959193<51> * 48651926154169704306969810270043128092917988274505675071805716365801863993<74> * 494989576335933678241287643493876779780477962643805901339815106786961691436729452816424866873<93> * [3809033795...<390>] * [3155994975...<454>] * [1000000000...<881>] * [3945434711...<2618>] * [1460232532...<5242>] (5.73%)
10^10165+1 = 1000000000...<10166> = 11 * 1499 * 9091 * 28463 * 74687 * 392263 * 795653 * 2607209081<10> * 1812604116731<13> * 51160368729973<14> * 121450506296081<15> * 286992818389601<15> * 2481489856458131<16> * 909090909090909091<18> * 33285728669688427342441<23> * 28901898237947700554025014807<29> * 4996731930447843676185843959746621491531100801<46> * 9140689231828972552925524522037823147045937571379494322686226282352288670801988451<82> * [4219028723...<415>] * [2592158912...<1852>] * [1100629337...<7595>] (3.00%)
10^10166+1 = 1000000000...<10167> = 101 * 521 * 1289 * 63649 * 28559389 * 1491383821<10> * 15784602749<11> * 24024683489<11> * 305045929501<12> * 495074662729<12> * 805451932889<12> * 1248821288261<13> * 18371524594609<14> * 2324557465671829<16> * 3852034888625542529<19> * 11321155065857650469<20> * 1900381976777332243781<22> * 6219342207515923652594221<25> * 671082513552668016215173889<27> * 4181003300071669867932658901<28> * 329926770882952905235470361014177766008571741<45> * 32228072787206910077588738662288637382824935282889<50> * [1921467971...<249>] * [4709139884...<442>] * [1604639168...<671>] * [9900990099...<8448>] (3.52%)
10^10167+1 = 1000000000...<10168> = 7 * 11 * 13 * 6779 * 36410456058973<14> * 29583565931351329<17> * 2648490336958395254293<22> * 13559216338281405848432959339<29> * 37678627080143135463815804543<29> * [7209180552...<3314>] * [1402522035...<6739>] (1.13%)
10^10168+1 = 1000000000...<10169> = 17 * 5882353 * 473178049 * 6051298241<10> * 355080327473<12> * 48656086054529<14> * 789592121167489<15> * 5696352190452449<16> * 13126659377542993<17> * 5348112118999680797617<22> * 866353530992835497979626513<27> * 669995415570582921859463287135169<33> * 18798124481332409484502894235050519095834690259132073729<56> * 2212893713887918222645451169509853038253459532292347577233<58> * 38497687061346649817295117852968299620995218286740952471394479857<65> * 660604434404260846910281367365053154708765216915398862085932105728073399727051255954484746381837884289669103543541094033006584881480446026721<141> * 700476027172473264821209766822521514054070905466845296151892613951533187603891645634196734073741683247230607581692473423461149663662946076318737<144> * [1488323199...<9527>] (6.31%)
10^10169+1 = 1000000000...<10170> = 11 * [9090909090...<10168>] (0.01%)
10^10170+1 = 1000000000...<10171> = 61 * 101 * 181 * 3541 * 6781 * 9901 * 20341 * 27961 * 4188901 * 39526741 * 247517461 * 326579041 * 484586941 * 52743988481<11> * 999999000001<12> * 17923902380821<14> * 3088998523431181<16> * 132305743681936841<18> * 4097628225636876001<19> * 175355474714181315761<21> * 4999437541453012143121<22> * 17395329114755487281341<23> * 1105097795002994798105101<25> * 62554557765317517282085861045655294434955453111717816503072219942390838369658841<80> * 226813030797815731197778256645639265718556459184651841552579161651406131077524640644151258260029762686434793845331341<117> * [9258104828...<406>] * [1489454343...<445>] * [3576409999...<448>] * [1013204571...<865>] * 8076038158...<887> * [1199763324...<1322>] * [6165491567...<2675>] * [9048972901...<2688>] (13.02%)
10^10171+1 = 1000000000...<10172> = 11 * 5813 * 122053 * 148207 * 909091 * [1055208486...<1444>] * [9012477284...<8707>] (0.21%)
10^10172+1 = 1000000000...<10173> = 73 * 137 * 52896896305881569<17> * [1890281055...<10152>] (0.20%)
10^10173+1 = 1000000000...<10174> = 7 * 11 * 13 * 40693 * 176333 * 1311217230881<13> * 2201970305893<13> * 3808057711085223234947041<25> * 23416155059233410738191449<26> * [1679126769...<3348>] * [3220504569...<6739>] (0.86%)
10^10174+1 = 1000000000...<10175> = 101 * [9900990099...<10172>] (0.02%)
10^10175+1 = 1000000000...<10176> = 11^2 * 23 * 251 * 331 * 4093 * 5051 * 5171 * 7253 * 8779 * 9091 * 12211 * 240131 * 6039881 * 272580851 * 20163494891<11> * 33400699201<11> * 409038414731<12> * 1501539197401<13> * 78875943472201<14> * 422650073734453<15> * 23843315153651051<17> * 49173925574833481<17> * 296557347313446299<18> * 2005703005501730201<19> * 318727841165674579776721<24> * 94822541463412844933530801<26> * 304857643132464450019653157651<30> * 23065810301309733589514522366801<32> * 84713181371149698699040859437321<32> * 219750014263062386251162088588835607771<39> * 1491273678477173069027664948012233844398077028447940172193498801<64> * 44659135987047270733848138282609193992779311307114487270946545676364972087041313965550458035508373749740227131627209038723801<125> * 22369355044392829576198363935261212146051995578845131526611800779453430519897692892453842577603840415445414697342892679968594131<128> * [1444603573...<279>] * [3325883399...<646>] * [1536838588...<1414>] * [3459290053...<7145>] (6.82%)
10^10176+1 = 1000000000...<10177> = 3457 * 12289 * 20353 * 1309313 * 418725889 * 1265011073<10> * 19611187201<11> * 11991628377601<14> * 139752683419777<15> * 15343168188889137818369<23> * 14174968896963143342535451777<29> * 24886445683366549499186507957249<32> * 48116567080599967038803050548097<32> * 515217525265213267447869906815873<33> * 338579887181973006729167651681190977281<39> * 16603249990114694613009401045119923580957837937462177950368477911534904193<74> * [8870843901...<3245>] * [7583004687...<6600>] (3.25%)
10^10177+1 = 1000000000...<10178> = 11 * 740294249207718852743<21> * [1228012928...<10156>] (0.22%)
10^10178+1 = 1000000000...<10179> = 29 * 101 * 281 * 2909 * 121499449 * 802889618550909581<18> * 1587793507104998910643128469<28> * 24474149875167364484471358364249<32> * [1732093959...<1400>] * [6361028656...<8685>] (0.92%)
10^10179+1 = 1000000000...<10180> = 7 * 11 * 13^2 * 19 * 59 * 157 * 859 * 1567 * 6397 * 32887 * 52579 * 155557 * 216451 * 461917 * 592489 * 60034573 * 70541929 * 546483367 * 1058313049<10> * 1170992161<10> * 14175966169<11> * 388847808493<12> * 638453709757<12> * 30742515591607<14> * 59663694949093<14> * 118939569593287<15> * 135080726389891<15> * 1437575167510093<16> * 1329369925675153051<19> * 2762580729671077856014459<25> * 154083204930662557781201849<27> * 1274194732898148471766404179653<31> * 6811645794372004956047418049529911921<37> * 484688693362852875650185421098728254915802251<45> * 36096800156828895568286578224818258719817914995401933354161<59> * 2680052779284995695116101096172766967989394552173439874009704597<64> * 6862390300547244074038319769783944997739006024946890580945655121<64> * 341961712618023873833889329797322976594377309179358917195456869103863096664894815555956884183686442687<102> * 8000274558764048855772521798953431026754861120047615036248955653510671403655103704934457289394961420440781989755335177962505013085247<133> * [8468109194...<228>] * [1940469163...<497>] * [1400032384...<650>] * [7514845798...<1998>] * [9956468040...<6010>] (7.84%)
10^10180+1 = 1000000000...<10181> = 73 * 137 * 4073 * 1676321 * 39620561 * 2169736697<10> * 5964848081<10> * 225587106098810666305841<24> * 78634665883647164275233689521<29> * [2855712665...<2012>] * [5637870660...<8076>] (0.91%)
10^10181+1 = 1000000000...<10182> = 11 * 16087109036160086317644912769<29> * [5651052075...<10152>] (0.29%)
10^10182+1 = 1000000000...<10183> = 101 * 9901 * 4632239809<10> * 5991536809<10> * 23851651527901031501<20> * 14413394403780118298401<23> * [4151071085...<3373>] * [2524790820...<6743>] (0.66%)
10^10183+1 = 1000000000...<10184> = 11 * 103 * 4013 * 265957 * 21993833369<11> * 566182860314268445323284219<27> * 6037250154...<566> * [1099999999...<9569>] (6.04%)
10^10184+1 = 1000000000...<10185> = 17 * 3217 * 134369 * 1010897 * 4374833 * 5882353 * 1065042721<10> * 2929274744593<13> * 31735795756961<14> * 4352583783096579191537<22> * 234504682039452385472228601837391217101263308508305719138749905156540866534427238711769806579683320997636600725852987602204289<126> * [2399498265...<500>] * [2157177273...<9474>] (2.07%)
10^10185+1 = 1000000000...<10186> = 7^2 * 11 * 13 * 127 * 211 * 241 * 971 * 2161 * 2689 * 9091 * 43651 * 129011 * 236681 * 459691 * 909091 * 1405531 * 4097281 * 4147571 * 1935871099<10> * 5566733971<10> * 29970369241<11> * 39962212291<11> * 82489592491<11> * 2519775841411<13> * 220022910900703<15> * 268153090361731<15> * 1661378260814161<16> * 265212793249617641<18> * 18276168846821336356291<23> * 25285741094687300184091<23> * 102527361354613106010527<24> * 255599725304866566400921<24> * 28817173199926034910009721<26> * 569893955922017649838601407<27> * 1003909752679392109212315571<28> * 1850905383730046591101045759687<31> * 323338434891034089173475790125293<33> * 27422699366054621683295623079471066588881<41> * 120993298365129876163173210302328063293143<42> * 945810328223866785885905285429505642199347228900195881<54> * 9082330292251962304688193151167683450110136179543368546373275157823981917087560492592244850476097147293654306654509712541945987920778472370936173919077<151> * [1102051878...<302>] * [3718256519...<526>] * [1084192588...<674>] * [2234546059...<1108>] * [7019243141...<2272>] * [1956429803...<4592>] (7.02%)
10^10186+1 = 1000000000...<10187> = 89 * 101 * 62969 * 118529 * 15103061 * 1052788969<10> * 1056689261<10> * 191269338412103659709<21> * 35034118330919297779082305261<29> * 222918345451775051784679332634923849829<39> * [1124670307...<841>] * [5280511808...<9220>] (1.24%)
10^10187+1 = 1000000000...<10188> = 11 * 81131 * 63716179 * 640823423 * 1328119939<10> * 116011189311149998139<21> * 272828068791212993437<21> * 11205222530116836855321528257890437575145023592596037161<56> * 301525294918950432087520298129941558711551656822567015411<57> * 14950128044255312629457887411604300692966728690551568705030373<62> * [1292459701...<9943>] (2.40%)
10^10188+1 = 1000000000...<10189> = 73 * 137 * 3169 * 6793 * 98641 * 203761 * 4557433 * 99990001 * 3199044596370769<16> * 911972645330568828097017601<27> * 9999000099...<1128> * [1585405850...<2241>] * [1096524117...<6742>] (11.84%)
10^10189+1 = 1000000000...<10190> = 11 * 47 * 139 * 887 * 2531 * 2659 * 549797184491917<15> * 3646836465960880692292201915543408162476049<43> * [1056936920...<394>] * [1099999999...<9725>] (0.71%)
10^10190+1 = 1000000000...<10191> = 101 * 3541 * 27961 * 1406221 * 25650269 * 21243487696423381<17> * 975094961584864121<18> * 5917737408786164921<19> * [6689352773...<1992>] * [1197203290...<4050>] * [2824060999...<4073>] (0.75%)
10^10191+1 = 1000000000...<10192> = 7 * 11 * 13 * 1423 * 6637 * 132247 * 665813 * 57009401 * 2182600451<10> * 9615060929<10> * 15358952303041<14> * 9365536539261037<16> * 7306116556571817748755241<25> * 7246678423079553956558193731503<31> * 304768036847074491064894608014695867632997<42> * 3605696680890791382725432167911038465896663<43> * 66443174541490579097997510158021076958392938976011506949065646573<65> * 1251990291329257796002278912741887225923362508309806834359341444948291275981327174223618327402150792085738318266379138644493775947105115101637978649<148> * [2434270087...<3224>] * [5924883299...<6539>] (4.21%)
10^10192+1 = 1000000000...<10193> = 353 * 449 * 641 * 673 * 1409 * 8737 * 69857 * 19725473 * 690874913 * 40336502753<11> * 43735845217<11> * 180982448641<12> * 754651871841089<15> * 49190086416352961<17> * 217860610452031121598489279950204653537<39> * 155944009296214054100626916003794407157304353<45> * 33857126287532892390194544682750180705056727269149496594755320455272870740814407021435721731880166393643173336787745221520888878951616858121601<143> * [5525397669...<661>] * [1144557628...<1149>] * [1447440023...<8056>] (3.22%)
10^10193+1 = 1000000000...<10194> = 11 * 11168123539<11> * 491022932445115589240182891<27> * [1657774022...<10156>] (0.37%)
10^10194+1 = 1000000000...<10195> = 101 * 9901 * 20389 * 598049 * 52560182449<11> * 539974161589<12> * 2083397610021494281<19> * 12220734227784331061<20> * [6067637220...<3338>] * [1870457999...<6781>] (0.74%)
10^10195+1 = 1000000000...<10196> = 11 * 9091 * 14741971 * 73077761 * 218560411 * 42733996617867198169<20> * 784328205800814146926651<24> * 115189820898730951462424268721<30> * [2127324802...<2019>] * [5170875984...<8076>] (0.99%)
10^10196+1 = 1000000000...<10197> = 73 * 137 * 20393 * 81569 * 51999601 * 2032026749676529<16> * [5688802853...<10160>] (0.36%)
10^10197+1 = 1000000000...<10198> = 7 * 11^2 * 13 * 19 * 23 * 619 * 1237 * 4093 * 8779 * 52579 * 226601 * 1358983 * 7627357 * 44092859 * 73071703 * 102860539 * 599144041 * 984385009 * 7093127053<10> * 183411838171<12> * 475653827230891<15> * 612053256358933<15> * 41343860637475219<17> * 182725114866521155647161<24> * 1471865453993855302660887614137521979<37> * 5571170781540045423292640754334163561<37> * 141122524877886182282233539317796144938305111168717<51> * 1775284489...<202> * [1781595163...<590>] * 8713334593...<978> * [1913156055...<2026>] * [1792431715...<6106>] (14.49%)
10^10198+1 = 1000000000...<10199> = 101 * 1707757081<10> * 431453903152886286349<21> * [1343748923...<10167>] (0.31%)
10^10199+1 = 1000000000...<10200> = 11 * 659 * 6299 * 240437 * 909091 * 1142669053<10> * 1764243419<10> * 715328541721481<15> * 4855067598095567<16> * 313360308665807383<18> * 575959441688891893<18> * 579210707460230341693<21> * 10918819300926930502446299<26> * 40423608201848849092254329<26> * 297262705009139006771611927<27> * 909090909090909090909090909091<30> * 22059227904420770836064175243763866620796477930349180699067305041042773585346008483552759881065631106663670362701807674552261329<128> * 1669195584...<274> * [6049012397...<1297>] * [5152866039...<8271>] (6.19%)
10^10200+1 = 1000000000...<10201> = 17^2 * 40801 * 54673 * 462401 * 5070721 * 5882353 * 72547841 * 1132716961<10> * 5637065089<10> * 13355595217<11> * 24592788001<11> * 17319002076001<14> * 32233075296001<14> * 174323368765921<15> * 192476141755201<15> * 417090345288481<15> * 9999999900000001<16> * 325944528033956870561<21> * 19250151190672853034401<23> * 3031447252741466336597441<25> * 6823601028180090958012801<25> * 19721061166646717498359681<26> * 281259985248437790051014401<27> * 31388506438433752927908678241<29> * 1516395051122929541850783680941040161<37> * 203939065707819971348847334277829768072001<42> * 3475700719926956233659563848134955052440801<43> * 116990301476747139063183899107829995503054414640437569739696739532637081068627241615756780789663364521811201<108> * 440441087557478776852171834625638618412949059374084837579531425633661269203803741415744566525108430933975383194546209<117> * 3178246571075235723080972275640135632212436318968968029466533249264048115754831736073020454216579035062833710671458881<118> * 10209076607930569913922070622494428090671480292064954172591269153271836953190308682801647817951310297094548858967419962633393<125> * [1521240334...<266>] * [5277324907...<409>] * [1384353472...<997>] * [2753444221...<2528>] * [7613940339...<5081>] (9.04%)