10^34001+1 = 1000000000...<34002> = 11^3 * 23 * 4093 * 4357 * 8779 * 25169 * 1485397 * 1871145956087<13> * 6560496291091<13> * 17833090061402771<17> * 102502981431359171598893<24> * 58513940129535379432477007<26> * 544471001372579296332291652675646774644208265246405598834086237345292487<72> * 1431135121058581084714805848152798178115682551730402597243763044287124792572084319412841582786640330468733<106> * 16547433246480520174349179207193433881181252010316221293841402155991914006665222503784862841092262365532740265874407144559674728417785771<137> * [1099999999...<2801>] * [2996855008...<30772>] (1.26%)
10^34002+1 = 1000000000...<34003> = 101 * 9901 * 22669 * 999999000001<12> * 9584279543989<13> * 25461243152677677909229<23> * [1033044795...<3764>] * [1749882841...<7526>] * [1000000999...<22657>] (0.17%)
10^34003+1 = 1000000000...<34004> = 11 * 3677 * 7253 * 20219 * 422650073734453<15> * 296557347313446299<18> * [1222796009...<911>] * [1099999999...<33049>] (0.13%)
10^34004+1 = 1000000000...<34005> = 73 * 137 * 92753866937<11> * [1078014365...<33990>] (0.04%)
10^34005+1 = 1000000000...<34006> = 7 * 11 * 13 * 211 * 241 * 2161 * 9091 * 144335357 * 30025692710404561<17> * [6298463023...<2258>] * [3659869264...<4516>] * [1099989000...<9065>] * [9100090999...<18128>] (0.12%)
10^34006+1 = 1000000000...<34007> = 29 * 101 * 281 * 15269 * 728701 * 952169 * 121499449 * 241374589 * 715341374441<12> * 328250687437362007781<21> * 13762552890503863967484529230589<32> * 999999999999990000000000000099999999999999000000000000009999999999999900000000000001<84> * [6484373632...<688>] * [3068084827...<4095>] * [6082485327...<29038>] (0.55%)
10^34007+1 = 1000000000...<34008> = 11 * 489263 * 513397 * 884183 * 1097601157<10> * 31034560897213<14> * 1983708991186253<16> * 909090909090909090909090909091<30> * [1662222269...<1061>] * [4008712585...<32861>] (0.25%)
10^34008+1 = 1000000000...<34009> = 17 * 1249 * 5233 * 49297 * 300977 * 544129 * 648961 * 5882353 * 77402209 * 148068337 * 770312593 * 10662171313<11> * 18059242081<11> * 169679101873<12> * 473392516273<12> * 325807801400017<15> * 9999999900000001<16> * 3831796138952006881<19> * 37408174120552729393<20> * 249227787818677482257<21> * 1549873960298557905236593<25> * 43922242252020060474812593<26> * 5577487942047813685750184641<28> * 333632766438409011274705987026407639670042305536743429073<57> * 14051485220127306539558738857309372503949399323665750407976449<62> * 138359326498705141346583789519515896493739312069900779478063763162990060463305717055848920585883537<99> * 5941732520...<820> * [1396341040...<1651>] * [4893128499...<10321>] * [1837799474...<20731>] (3.84%)
10^34009+1 = 1000000000...<34010> = 11 * 40237 * 290249 * 2952557 * 531896929 * 1899591271579<13> * 31321069464181068355415209323405389541706979493156189716729115659<65> * [7573485234...<446>] * [1099999999...<33461>] (0.30%)
10^34010+1 = 1000000000...<34011> = 101 * 761 * 1901 * 3041 * 3541 * 3581 * 14321 * 27961 * 74861 * 325781 * 891421 * 2924861 * 15712621 * 19181641 * 417332341 * 530819489 * 81821641061<11> * 65843863666621<14> * 7788750761855821<16> * 722817036322379041<18> * 1369778187490592461<19> * 1210107485923235736101<22> * 1282488673853169565501<22> * 3043991572658775957521<22> * 780548018657747948342675331841<30> * 458192181720740635773018630313952996833801<42> * 5405154679453439736564215753259035387646069983401<49> * 20547226778782170120539430083689730394727567536361<50> * [2394770832...<332>] * [3508162224...<645>] * [6638405965...<687>] * [5265451480...<6401>] * [1287887421...<12740>] * [3540999996...<12816>] (1.15%)
10^34011+1 = 1000000000...<34012> = 7 * 11 * 13 * 19 * 52579 * 68023 * 9852722171<10> * 195554325317093<15> * 66562848252148561<17> * [7088457742...<3737>] * [1615484613...<7552>] * [1000999998...<22669>] (0.16%)
10^34012+1 = 1000000000...<34013> = 73 * 137 * 617 * 18553 * 84102401 * 12663566226290321<17> * 283283934434500561<18> * 1417136332396386473<19> * 742404599243691220598752457<27> * 16205834846012967584927082656402106953<38> * [6090903900...<3031>] * [2787824662...<30847>] (0.40%)
10^34013+1 = 1000000000...<34014> = 11 * 1583 * 3613 * 4973 * 476183 * 909091 * 1211813 * 4426889 * 14353487 * 57009401 * 2182600451<10> * 31292708287<11> * 35835054263<11> * 3671495520853<13> * 27232839211397<14> * 11378156086032877<17> * 212057054080446499<18> * 120525789336558438197<21> * 559506302377160805703<21> * 4430360625794425922167<22> * 98486006552146096676731<23> * 7306116556571817748755241<25> * 835923017568339901219132877<27> * 6798855735656881396055959081077830421892567<43> * 412943108813978385999641617982242667485519119709940711942693553709517240114281629255685010553886849303<102> * 1752088930844817629923654387608505754917704006063078641900632201094124478044555887071171166365583553287053602700568010683873135238140340718711012045219107751867190380847<169> * [1275643547...<569>] * [6762551784...<4670>] * [3735605553...<28185>] (1.74%)
10^34014+1 = 1000000000...<34015> = 101 * 9901 * 5331789865732081<16> * 1244270079365493601<19> * 8994946171300882726004369<25> * [8846376106...<11293>] * [1894296315...<22657>] (0.19%)
10^34015+1 = 1000000000...<34016> = 11 * 9091 * 40819 * 15810173 * 3578146699<10> * 3973513207130453761<19> * [3936861982...<6781>] * [2768303369...<27190>] (0.13%)
10^34016+1 = 1000000000...<34017> = 19841 * 976193 * 6187457 * 12517889 * 834427406578561<15> * [7988567401...<33977>] (0.11%)
10^34017+1 = 1000000000...<34018> = 7 * 11 * 13 * 47 * 59 * 103 * 139 * 1973 * 2531 * 4013 * 12007 * 26681 * 31051 * 776969 * 976489 * 2955961 * 235166917 * 2140571729<10> * 2628957823<10> * 6652516597<10> * 21993833369<11> * 37633218241<11> * 37832309369<11> * 291078844423<12> * 638453709757<12> * 837042695779<12> * 9101279023169<13> * 40256406669887<14> * 135080726389891<15> * 143574021480139<15> * 549797184491917<15> * 2184943628221853<16> * 2345603468472542539<19> * 47574748029818884687<20> * 377526955309799110357<21> * 865788741404845009303<21> * 24649445347649059192745899<26> * 154083204930662557781201849<27> * 5718695187661520881538869249<28> * 1274194732898148471766404179653<31> * 2844366024589741098287806157501475277<37> * 473608692432035450677211738101499095303<39> * 1071693871...<275> * 3312754470...<353> * [1089752138...<602>] * [1901064414...<665>] * [3467640564...<850>] * [4437822634...<1203>] * [9090909090...<9856>] * [1098901098...<19713>] (3.33%)
10^34018+1 = 1000000000...<34019> = 101 * 5306809 * 5911541 * 16692085818029<14> * 265197188311481<15> * 5774294197526381<16> * 182202742802607835615596881<27> * 31306780512964774446383151831688280696877739051661<50> * 9537037576103752545861071409967321761728999089417907986752766348817191016093460769<82> * [1192535462...<401>] * [1903215284...<33402>] (0.64%)
10^34019+1 = 1000000000...<34020> = 11 * 9661397 * [9409518200...<34011>] (0.02%)
10^34020+1 = 1000000000...<34021> = 73 * 137 * 3169 * 3889 * 7841 * 15121 * 58321 * 98641 * 110881 * 134401 * 851761 * 1451521 * 1676321 * 68562937 * 99990001 * 163759681 * 198454537 * 265183201 * 575794801 * 852826321 * 1828137601<10> * 5964848081<10> * 8519061601<10> * 11189053009<11> * 41593295521<11> * 81363421729<11> * 494333420617<12> * 1193695801201<13> * 14767753476961<14> * 16409000677681<14> * 112117914380881<15> * 3199044596370769<16> * 7596146397893257<16> * 13855230314959249<17> * 31596385900910689<17> * 603812429055411913<18> * 758373345811554481<18> * 27988931672369025121<20> * 127522001020150503761<21> * 148029423400750506553<21> * 2717642825460366325201<22> * 1589729181144791629795921<25> * 7064204436768358634702473<25> * 67501680066009758096678991121<29> * 100009999999899989999000000010001<33> * 1726290008991504500177463302688697<34> * 95853807664312827399794371014650641<35> * 579276943498154282123686999881829009033<39> * 43599922525432064821850834951727679807657<41> * 84127549110077880819608858067897680511169<41> * 39340929985040037939860550511566010202173435808159761<53> * 1146780383632163283649175272843774050715065531735480891145232027761<67> * 40455276360748528742442560829688448751215185778145671171534342753113<68> * 166913512232431273140362987966641859731500109846278942036790211593884632236221381121<84> * 1174155661036370531158387153086358732085761158354280249987966107746175275693416345665039841<91> * 334522142365084475733005788763069665597428914843872461953834690104120914487934715334187622132844561179868971005307865589696093471675431176480908194696635755950657968289<168> * [6771510653...<275>] * [1000000000...<433>] * [5507263830...<563>] * [3522068529...<578>] * [7375921026...<831>] * [6633544422...<1272>] * [2038606678...<1691>] * [1044943731...<2575>] * [2022926143...<3877>] * [3809917182...<5131>] * [9999999999...<15552>] (3.67%)
10^34021+1 = 1000000000...<34022> = 11 * 859 * 1058313049<10> * 968677161394442284357<21> * [9090909090...<2616>] * [1135569252...<31372>] (0.10%)
10^34022+1 = 1000000000...<34023> = 101 * 19052965568266529<17> * [5196561167...<34004>] (0.05%)
10^34023+1 = 1000000000...<34024> = 7 * 11^2 * 13 * 23 * 2063 * 4093 * 8779 * 12373 * 810367 * 599144041 * 59596297223<11> * 183411838171<12> * 243740287172251<15> * 2585587804172055288691<22> * 21697362613133964595466114528841853<35> * [4406645220...<1027>] * [1953599834...<1995>] * [7572618694...<10275>] * [9100000000...<20600>] (0.37%)
10^34024+1 = 1000000000...<34025> = 17 * 5882353 * 52192817 * 343839592841408929<18> * [5572285685...<33991>] (0.10%)
10^34025+1 = 1000000000...<34026> = 11 * 251 * 5051 * 8167 * 9091 * 10889 * 538204729 * 3501412037<10> * 8157101783<10> * 261232585651<12> * 78875943472201<14> * 42707008144648361<17> * 32794201885052294157546769<26> * 12857293098624563620368908761<29> * [2027837193...<1299>] * [2003270750...<5396>] * [3828044642...<27189>] (0.42%)
10^34026+1 = 1000000000...<34027> = 101 * 1061 * 3181 * 9901 * 125929 * 2313769 * 5051749 * 96906049 * 27384397009<11> * 1675502326109<13> * 1977535165849<13> * 40882343106721<14> * 459762679031489<15> * 420350558551616321<18> * 1650244260647104976802437090486126821<37> * 245391150214875249502685807421982149521<39> * 75277048352808729626679875852901448034540173569840168229<56> * 15278590279454444563136979797805224163439540874769878797096077750173420678283300335413747713817503792216588098909716944819022901345851917974073820766105946285784669<164> * 2421825498886875706568085804897442030525256100180294305383840413574930314582991559155197335837338973747281007884658776715423100656032123324942160620509168628560523446063044557248001192491268292405581<199> * [5107362981...<412>] * [3119112183...<10980>] * [1612519565...<22024>] (1.80%)
10^34027+1 = 1000000000...<34028> = 11 * 909091 * 1224973 * 84950837 * 51820916303173<14> * [2065068987...<4839>] * [8979788860...<29154>] (0.10%)
10^34028+1 = 1000000000...<34029> = 73 * 137 * 70313 * 79337 * 485041 * 2402233 * 6601433 * 19600129 * 24568217 * 118710721 * 6578404633<10> * 2022926961077521870116793<25> * 169905327561162104198557246291921<33> * 27851538931791182813585932285490596820623900747164894668499167046712090201879423948069199442816537475115348268729799177<119> * [2057601374...<690>] * [3146100837...<33099>] (0.71%)
10^34029+1 = 1000000000...<34030> = 7 * 11 * 13 * 19^2 * 2053 * 3583 * 52579 * 68059 * 1458973 * 4410785971<10> * 51423818851<11> * 1302554658007<13> * 2911579215499<13> * 3545105703277<13> * 10765760180213<14> * 12277415800813<14> * 546429366594757<15> * 829785286292797<15> * 909090909090909091<18> * 2452087338168674285898037<25> * 307010852070382484317401373<27> * 753201806271328462547977919407<30> * 180724074168604579796294647309331<33> * 314293140427626491056008875724151058487007<42> * 6508684267533856834852965580950145565983063793936631379<55> * 34156671999167558280316457548021397439888515117317065783422183070342102287109965498971<86> * [4578798353...<370>] * [1831892757...<1174>] * [1099999999...<3565>] * [3711123930...<7104>] * [1768946220...<21365>] (1.33%)
10^34030+1 = 1000000000...<34031> = 101 * 821 * 3541 * 27961 * 68389 * 639601 * 59090021 * 772140701 * 550059014321<12> * 11036695406441<14> * 15053591196759781<17> * 28523597299050421<17> * 186800120554932461<18> * 1073380218518144441<19> * 6094513311515201429<19> * 1266925593264677597290950641<28> * 1350059351915828990550200161<28> * 53842781766332811378175769094601<32> * 17167210449977525602398480599175117101<38> * 69507360204230144165120626764201173268401<41> * 23023967955265160767768376873521136169786061<44> * 139074671904011778473984366758527524121792121<45> * 3061973722987905774729667496411417875958731844861<49> * 1447745997018511893740076606031686237538345362413531560645573104006506749609<76> * 4300297028838474156015268798064619519844286165272568941158694953418333634388515222398381949374346543672407516659353137441<121> * 377232254779363832566657848595478700324930619830395906281633432610242399995425182118630038629742647815490833575187477845254601<126> * [1737319642...<244>] * [5300204478...<295>] * [1250219208...<6496>] * [2352262628...<13104>] * [2796099999...<13121>] (2.27%)
10^34031+1 = 1000000000...<34032> = 11 * 272249 * 1225117 * 7214573 * [3777920574...<34012>] (0.06%)
10^34032+1 = 1000000000...<34033> = 97 * 353 * 449 * 641 * 1409 * 69857 * 206209 * 19969682657<11> * 66554101249<11> * 30928441255457<14> * 75118313082913<14> * [1619089303...<11305>] * [1000000000...<22657>] (0.21%)
10^34033+1 = 1000000000...<34034> = 11 * [9090909090...<34032>] (0.00%)
10^34034+1 = 1000000000...<34035> = 29 * 89 * 101 * 281 * 521 * 2381 * 7481 * 63649 * 120121 * 18708229 * 28559389 * 115783669 * 121499449 * 1052788969<10> * 1056689261<10> * 1491383821<10> * 17316450581<11> * 39511854229<11> * 155623169021<12> * 654721485601<12> * 1248821288261<13> * 17576772101461<14> * 275855329893529<15> * 2324557465671829<16> * 1900381976777332243781<22> * 20087794479102305428621<23> * 6219342207515923652594221<25> * 20892605050886931746129533061<29> * 5781822105649878089905469839201<31> * 754309323029578981494450523147961<33> * 4832227158939716614468345433242909<34> * 329926770882952905235470361014177766008571741<45> * 32228072787206910077588738662288637382824935282889<50> * 3571618567996393297210217238290456648947344377957590363519828421<64> * 5582637833682557709253612812885341475900082138954691763178176941<64> * 431916413820617754546053476804635449461410533962843828981966782964481<69> * 40520191245153663291616075979301737566653577978261825599617472901135361<71> * 13712255219708533473813623053189821987961076229175414555827926545777661379291311684923609<89> * 389057640102575795238314817222406419443832674379928206992954147805827425053833398395365869<90> * 25561948931738399180959860493035633005346674997219855227412314112685523898853595360610683149167147379131162769<110> * [1921467971...<249>] * [8675359172...<305>] * [8242513881...<1435>] * [5292318208...<1913>] * [8196365308...<2245>] * [5717678719...<3830>] * [8723164576...<23032>] (3.02%)
10^34035+1 = 1000000000...<34036> = 7 * 11 * 13 * 211 * 241 * 2161 * 9091 * 22691 * 1361401 * 1424933 * 17331586464960997<17> * 42800681786378986957<20> * 135202631744315458579<21> * 1032296148474774793202063<25> * [3565908912...<2222>] * [1898990426...<4497>] * [4847688511...<9068>] * [6684357511...<18138>] (0.33%)
10^34036+1 = 1000000000...<34037> = 73 * 137 * 3921761 * 3988541681<10> * 27316505681<11> * 179093946929<12> * 764515044486144085977569<24> * 2575212027850692464577982171078840918884244921649<49> * 188559663327876471888363315685992845311774522520360566601659121<63> * 1083931224855529288843363709480842047163176902274082018904635281652127276952058927069578788560035566749512645808889946013865548858442895580378678360552528197692322041991044570589569<181> * [3246850456...<416>] * [1000099999...<33265>] (1.05%)
10^34037+1 = 1000000000...<34038> = 11 * 607 * 809 * 1213 * 121321 * 1327067281<10> * 2251702571<10> * 3326027567<10> * 55027074590990508852961<23> * 71489171229856447321502908314697600957469967193571<50> * 1687858617956114857563779160203327248258725852773131<52> * 621229558894454367540891695929541003114293128504188334503<57> * 102628202728030891704336946143527067063502899291229635778464234241801<69> * 7861197759376969310871284581062232753724157295719665271243468634881392447<73> * 11500490394117824585468796003575163076836624586334794818271756072956027758946488969<83> * [3307248595...<33591>] (1.31%)
10^34038+1 = 1000000000...<34039> = 101 * 5209 * 9901 * 76129 * 190321 * 390889 * 1587221 * 2049349 * 4801921 * 36171049 * 222268141 * 2834820061<10> * 3812801341<10> * 4967159761<10> * 28975286089<11> * 81183810541<11> * 999999000001<12> * 3160596107341<13> * 206251228717780861<18> * 68766421426049698675309<23> * 2418666002101476599410229029<28> * 139716865184144864008269344660199946429<39> * 101444162656037151745878558385892753596849<42> * 483128549554512237305554588359039822397307149685578249<54> * 75743388768260974116327848920184337528059461788181539337429709<62> * 1305704182448226909845888790598975114740359397093421223355030629345156521<73> * 1387770812537486172424567765413032718466560432631753219117445147282909788805041<79> * 1087990925195463452802538049940594096989130726971208253428665898558089768698552971751226781442226809<100> * 3368744151...<323> * [1454199563...<698>] * [1009999999...<3601>] * [2737272009...<7193>] * [1423486483...<21580>] (2.85%)
10^34039+1 = 1000000000...<34040> = 11 * 1831374823286717<16> * [4963980598...<34023>] (0.05%)
10^34040+1 = 1000000000...<34041> = 17 * 593 * 5070721 * 5882353 * 2558434561<10> * 2863853281<10> * 1608357139893807878893601<25> * 3942722086472322467801441<25> * 19721061166646717498359681<26> * 79811762757311658061523042881<29> * 88424835854419406860480471361<29> * 2922137698079622949054068972641<31> * 326866013321545141677800244941441<33> * 120553054891405588545727822543281066162803459003848166118314367809<66> * 829510285658710111215121966308351445187741335558528775675039806142270659943202818322753067885238020768017585089<111> * 1686340623...<286> * [2151163818...<619>] * [4250714587...<1059>] * 3491799026...<6327> * [9999999900...<25344>] (20.62%)
10^34041+1 = 1000000000...<34042> = 7^2 * 11 * 13 * 127 * 2689 * 29179 * 317717 * 459691 * 909091 * 48383609 * 27072155659<11> * 34260542145041<14> * 94868197330369<14> * 39433247598913933<17> * 692477018877272916289<21> * 1277685050052355282207<22> * 13968216344727970171518872251<29> * [9801448116...<1596>] * [7727793824...<3149>] * [7542811950...<9693>] * [9100000909...<19440>] (0.48%)
10^34042+1 = 1000000000...<34043> = 101 * 1021261 * [9694867520...<34034>] (0.02%)
10^34043+1 = 1000000000...<34044> = 11 * 1889 * 36929 * 68087 * 1090805842068098677837<22> * 4085803565117909125465863327515767<34> * 4411922770996074109644535362851087<34> * [6025072598...<538>] * [1615580066...<33404>] (0.30%)
10^34044+1 = 1000000000...<34045> = 73 * 137 * 22697 * 680881 * 1838377 * 3200137 * 15660241 * 18315673 * 24511681 * 99990001 * 480221205663341833<18> * [6470187997...<11334>] * [5035058560...<22636>] (0.22%)
10^34045+1 = 1000000000...<34046> = 11^2 * 23 * 331 * 4093 * 5171 * 8779 * 9091 * 13619 * 38402761 * 20163494891<11> * 28518066611<11> * 634201866251<12> * 513335067860731691<18> * 318727841165674579776721<24> * 592119999726203887006567<24> * [1777562374...<579>] * [2142828473...<2455>] * [1099999999...<6181>] * [8300975445...<24702>] (0.38%)
10^34046+1 = 1000000000...<34047> = 101 * 349 * 38861 * 618049 * 2068589 * 547732049 * 11239910909146629966481<23> * 645114231377754247116430561<27> * 56360262697642563914567399981<29> * 11811806375201836408679635736258669583187541<44> * [1171202295...<1089>] * [1843967322...<32808>] (0.44%)
10^34047+1 = 1000000000...<34048> = 7 * 11 * 13^2 * 19 * 157 * 859 * 6397 * 10477 * 22699 * 52579 * 216451 * 324757 * 461917 * 592489 * 60034573 * 70541929 * 148898881 * 1058313049<10> * 14175966169<11> * 110023954291<12> * 388847808493<12> * 1191471327127<13> * 30742515591607<14> * 213883303216249<15> * 11570228666679853<17> * 102527361354613106010527<24> * 1050177580661792271099979<25> * 535845096217228836681072091<27> * 323338434891034089173475790125293<33> * 116089721943926115626614365020206939<36> * 27422699366054621683295623079471066588881<41> * 120993298365129876163173210302328063293143<42> * 36096800156828895568286578224818258719817914995401933354161<59> * 6862390300547244074038319769783944997739006024946890580945655121<64> * 8000274558764048855772521798953431026754861120047615036248955653510671403655103704934457289394961420440781989755335177962505013085247<133> * 9082330292251962304688193151167683450110136179543368546373275157823981917087560492592244850476097147293654306654509712541945987920778472370936173919077<151> * [1115656535...<464>] * 4846028459...<1148> * [1439675443...<1709>] * [9100000000...<2304>] * [5798725449...<6888>] * [9999999990...<20736>] (5.72%)
10^34048+1 = 1000000000...<34049> = 10753 * 32257 * 2587649 * 8253953 * 9524994049<10> * 73171503617<11> * 7979960397313<13> * 45723922339769773677559297<26> * 949383321082513089661541033473<30> * 8803929888324104650587958648444417<34> * 1616596633...<225> * [8111746579...<1442>] * [1253139051...<4596>] * [3864511763...<27642>] (1.08%)
10^34049+1 = 1000000000...<34050> = 11 * 863 * 1423 * 68099 * 624089 * 9615060929<10> * 95643572903<11> * 7918920301131907813<19> * 66443174541490579097997510158021076958392938976011506949065646573<65> * [2131493532...<403>] * [1688869758...<33525>] (0.36%)
10^34050+1 = 1000000000...<34051> = 61 * 101 * 601 * 3541 * 5449 * 9901 * 27961 * 46309 * 59021 * 60101 * 108961 * 204301 * 261301 * 681001 * 3903901 * 4188901 * 7019801 * 11799461 * 26926741 * 39526741 * 168290119201<12> * 14103673319201<14> * 1680588011350901<16> * 709591748375456801<18> * 9455294956384426301<19> * 25074091038628125301<20> * 3802416727162854360879394522289<31> * 38654658795718156456729958859629701<35> * 5622811333...<417> * [3095510397...<875>] * [8898012004...<893>] * [1853549256...<901>] * [1453403747...<1801>] * [2529932837...<1809>] * [1068237644...<4502>] * [4846035020...<4515>] * [9900498997...<9040>] * [1010050099...<9041>] (1.99%)
10^34051+1 = 1000000000...<34052> = 11 * 103 * 4007 * 4013 * 21993833369<11> * 41005460154133<14> * 15893884505804386451<20> * 26812925200960363811<20> * [1298290959...<1947>] * 1099999999...<32033> (94.28%)
10^34052+1 = 1000000000...<34053> = 73 * 137 * [9999000099...<34048>] (0.01%)
10^34053+1 = 1000000000...<34054> = 7 * 11 * 13 * 408637 * 1770757 * 2270201 * 14235402611<11> * 26197994491<11> * [6063819089...<11317>] * [2689186488...<22695>] (0.12%)
10^34054+1 = 1000000000...<34055> = 101 * 340541 * [2907429677...<34047>] (0.02%)
10^34055+1 = 1000000000...<34056> = 11 * 197 * 491 * 557 * 2503 * 9091 * 18131 * 66721 * 593531 * 909091 * 4147571 * 5721241 * 368854571 * 73837360171<11> * 843055198091<12> * 1129177907650493<16> * 70099301171494099<17> * 265212793249617641<18> * 653518704357372488880162997801<30> * 5076141624365532994918781726395939035533<40> * 171885313809023973316297299617001972028698082056007969699724137675797535402763434997577528908814962221209301350715566313549141490281<132> * 652065570931334169846518762110895357104035953330623783530923329412897765703841859492780362601926814638167836591846272150911969126521<132> * [1648639858...<548>] * [1569202362...<812>] * [1165978950...<3269>] * [8856001283...<5781>] * [9999999000...<23184>] (1.36%)
10^34056+1 = 1000000000...<34057> = 17 * 4129 * 8929 * 41281 * 68113 * 5882353 * 10100113 * 40110401 * 57214081 * 843377921 * 44415544177<11> * 3265640075377<13> * 249357075126193<15> * 908618221399489<15> * 9999999900000001<16> * 2078641117786978097<19> * 34883769795276074742193<23> * 134309808350032093926193<24> * 301141397581994586210257<24> * 524418195375754143552289<24> * 8196492062320582291379153<25> * 75675153541982860202858401<26> * 11786300284844910479546815969<29> * 24406528450187602801456557409<29> * 238164932563076018605669578257<30> * 3018874099563095007951997249219489<34> * 111994624258035614290513943330720125433979169<45> * 12964211609561579909063446696451764692875452342031494097<56> * 9900879227786858424257223656804730798555422102713108259184822982673560177<73> * 11211641228630565679165073415717349211301068854209340842417386559363002502053200017505737086336239008966529<107> * 3391814169...<207> * [4010313320...<466>] * [1837682057...<631>] * [1010511496...<1932>] * [7285098370...<3271>] * [1747821467...<6713>] * [1468148517...<20156>] (2.62%)
10^34057+1 = 1000000000...<34058> = 11 * 192384723529<12> * 849054381118771<15> * 12317414691855569<17> * 81570312519177943<17> * 8653492355310448489<19> * [6401151710...<33978>] (0.23%)
10^34058+1 = 1000000000...<34059> = 101 * 1371318804761<13> * [7220049826...<34044>] (0.04%)
10^34059+1 = 1000000000...<34060> = 7 * 11 * 13 * 45413 * 136237 * 749299 * 37237841 * 7029814565369<13> * 13554649393687<14> * 1583923256839967<16> * [4827970683...<11312>] * [7941821002...<22680>] (0.20%)
10^34060+1 = 1000000000...<34061> = 73 * 137 * 9433 * 177113 * 1580801 * 1676321 * 221689729 * 5964848081<10> * 13065719921<11> * 83572468886561<14> * 266958221846369<15> * 2442398244221169833<19> * 2700991999183848374581519791889<31> * 120920505705101252491925533049923433521<39> * 632527440202150745090622412245443923049201<42> * 175067038724863563854848045107963303611128869041<48> * 6279815040943032407714418831204387527919360005277361<52> * 7523020307427066273763456609903850552762967576510974081<55> * [1268362829...<503>] * [7654381128...<2070>] * [1446319820...<6164>] * [9999000099...<24960>] (1.07%)
10^34061+1 = 1000000000...<34062> = 11 * 421200450095410094209<21> * 244519011254604890593571<24> * [8826852252...<34016>] (0.13%)
10^34062+1 = 1000000000...<34063> = 29 * 101 * 281 * 9901 * 22709 * 48661 * 226549 * 5472629 * 86176861 * 121499449 * 3939962391181<13> * 9133137389881<13> * 106981400299229<15> * 2750843204604767929<19> * 4458192223320340849<19> * 77363908038168291165502357681<29> * [2512965636...<1608>] * [9752942710...<3188>] * [8317620225...<9682>] * [1148916296...<19433>] (0.45%)
10^34063+1 = 1000000000...<34064> = 11 * 47 * 139 * 2531 * 2455499 * 29812050157<11> * 549797184491917<15> * 28395363344129681<17> * 414350733457660982531<21> * [2997143921...<1443>] * [3873871894...<32544>] (0.23%)
10^34064+1 = 1000000000...<34065> = 353 * 449 * 641 * 1409 * 69857 * 449352254344155937<18> * [2225425577...<34031>] (0.10%)
10^34065+1 = 1000000000...<34066> = 7 * 11 * 13 * 19 * 211 * 241 * 2161 * 9091 * 27253 * 29611 * 52579 * 172597 * 3610891 * 3762091 * 16146811 * 120370557889<12> * 637682333731<12> * 1003045981013<13> * 1653484945663<13> * 8985695684401<13> * 46638813538552201<17> * 214473208585105601<18> * [1421287993...<733>] * [6366860947...<1507>] * [1420368114...<3001>] * [1845437078...<4509>] * [1951184069...<6032>] * [6186986396...<18137>] (0.44%)
10^34066+1 = 1000000000...<34067> = 101 * 340661 * 28131362141<11> * [1033154918...<34049>] (0.05%)
10^34067+1 = 1000000000...<34068> = 11^2 * 23 * 419 * 653 * 4093 * 8779 * 13693 * 85691 * 96823 * 258743 * 860641 * 2391863 * 1194794014691<13> * 3072423558293<13> * 86285622925877<14> * 5122137039572957<16> * 14286890032106357<17> * 197738402633302169<18> * 909090909090909091<18> * 644617431272157893717076361<27> * 2010350289408428700272493383<28> * 66953479943839030979655991920753816099754871899<47> * 106288106156544189601112452124463274118441603168767263777500290285464677481570934480831778653<93> * 118406308604014738032986880393983553483698736486523737091214336891111037216663569858459578047055026965068496734007753047724699784687389349031013172664108401383134457213<168> * [2496045948...<1518>] * [5850154917...<2876>] * [9090909091...<29160>] (1.51%)
10^34068+1 = 1000000000...<34069> = 73 * 137 * 2857 * 224449 * 249833 * 705409 * 13266937 * 99990001 * 152533657 * 434610245521<12> * 53240607866377<14> * 1119527384827710553<19> * 27930911704041314849<20> * 2205206684756014505809<22> * 53043011765949537815976769<26> * 1921752617028724103640763466297<31> * 65552746171882583264230070868884366877803237222654400793<56> * 44432384794221343755897441742032531086615578692097502509412995439256236377<74> * [3286248647...<623>] * [4535175804...<1307>] * [1433205652...<10600>] * [4321291936...<21223>] (0.93%)
10^34069+1 = 1000000000...<34070> = 11 * 4397 * 32971 * 240437 * 282287 * 909091 * 3448663 * 3641773 * 1142669053<10> * 2545650309889<13> * 8251274747899<13> * 313360308665807383<18> * 579210707460230341693<21> * 24015173492056360088952613<26> * 909090909090909090909090909091<30> * 22059227904420770836064175243763866620796477930349180699067305041042773585346008483552759881065631106663670362701807674552261329<128> * 56772494575417679209143612613936371702842084190817259161711159777577563483338093894447335028905724214106839545113870547643014663862360146330362411<146> * [3800239951...<913>] * [1966504887...<4637>] * [9090910000...<28080>] (1.29%)
10^34070+1 = 1000000000...<34071> = 101 * 3541 * 27961 * 68141 * 476981 * [9900990099...<6812>] * [7498013546...<13618>] * [4144437269...<13620>] (0.06%)
10^34071+1 = 1000000000...<34072> = 7 * 11 * 13 * 739 * 1663 * 9419 * 9973 * 148339 * 3653077 * 8177041 * 16419517 * 2583222779<10> * 2670502781396266997<19> * 3404193829806058997303<22> * 61051796035522969271171274876554178504544683763248923853725596423<65> * 357860022058291030637547388712539215949789354777863692262948494477223727474739887<81> * 10468914499016579557201453341874912215225582139574447316416037464431191539530016363378410596200156667456521361543364087524984553450338741820813125049764526797163897841239696982641<179> * 1808870732...<543> * [1099999999...<11041>] * [1112872003...<22074>] (2.81%)
10^34072+1 = 1000000000...<34073> = 17 * 613297 * 5882353 * 18603313 * 24511425160169921<17> * [3575775951...<34035>] (0.11%)
10^34073+1 = 1000000000...<34074> = 11 * 859 * 644767 * 15128413 * 1058313049<10> * 7698168064164182859741844327<28> * 643083186967699780266670713918928931<36> * [2848065477...<2551>] * [7271086531...<31433>] (0.26%)
10^34074+1 = 1000000000...<34075> = 101 * 109 * 9901 * 153469 * 58720861 * 746902081 * 999999000001<12> * 2805386428729<13> * 2996957170668961<16> * 24533746329343441<17> * 611403489656581647049<21> * 19479975130329986533201<23> * 59779577156334533866654838281<29> * [2071697574...<1222>] * [1651935272...<2500>] * [6070372303...<7540>] * [4467409814...<22656>] (0.46%)
10^34075+1 = 1000000000...<34076> = 11 * 59 * 251 * 1451 * 5051 * 5641 * 5801 * 6299 * 9091 * 20681 * 4293451 * 21997411 * 30104611 * 58765601 * 280850851 * 2033255251<10> * 10101561011<11> * 19642629161<11> * 95794366001<11> * 109138977001<12> * 2433146345771<13> * 78875943472201<14> * 4855067598095567<16> * 17996132431060961<17> * 1585582793237209531<19> * 28010436544042930661731<23> * 154083204930662557781201849<27> * 183524277349074336642460289<27> * 297262705009139006771611927<27> * 3313107852051073288994404260571<31> * 97862727665480231246011008935563207741144491224418517422691228321<65> * 4286364887150220673583225059177107721806065475972215552125258086068959357115762795701840175683004019170941959169708082929486830943679876008361716880663960188314299305481<169> * 1579507159...<546> * [1751203821...<903>] * [1129499838...<1204>] * [1652312402...<5120>] * [2431359503...<25743>] (3.25%)
10^34076+1 = 1000000000...<34077> = 73 * 137 * 7841 * 6870607577<10> * 257944006769<12> * 2769788418697<13> * 587841832062161<15> * 326996770142249761<18> * 127522001020150503761<21> * [7280824870...<4808>] * [1455620902...<29175>] (0.28%)
10^34077+1 = 1000000000...<34078> = 7 * 11 * 13 * 223 * 4663 * 7253 * 7369 * 550606957 * 3311436805543<13> * 422650073734453<15> * 8428713659744927<16> * 296557347313446299<18> * 43792442846195935916779099<26> * 1490473286202873492575327109823<31> * 21606064498691505246200058094681<32> * 48911689110891303706174193415115219<35> * 5523722596446330977448218249241349336929189661174997<52> * 4491267979654040991517174292809986926580431222945624648462333<61> * 2029528428657053384033771551046459064471855763867979888746704611<64> * 3658227236500563547693639851770301083718182348713994302520564971238177222520611617505129<88> * 6184565377...<574> * [1305062722...<11001>] * [9100000000...<22032>] (3.07%)
10^34078+1 = 1000000000...<34079> = 89 * 101 * 92941 * 898421 * 1052788969<10> * 1056689261<10> * 99142788045861341<17> * 20088102214842559389409<23> * [5953760401...<3046>] * [1009999999...<30961>] (0.21%)
10^34079+1 = 1000000000...<34080> = 11 * 58769576291<11> * 27021019767557<14> * 19136334597001397<17> * 303748618326650573<18> * 17739058684356048064391296854059986963277<41> * 9090909090909090909090909090909090909090909090909091<52> * [8816651555...<568>] * [6926891584...<33360>] (0.44%)
10^34080+1 = 1000000000...<34081> = 193 * 769 * 13633 * 19841 * 976193 * 6187457 * 9044832001<10> * 103997982721<12> * 2081538294529<13> * 2329245993601<13> * 126133355633281<15> * 252214668571009<15> * 834427406578561<15> * 1253224535459902849<19> * 67913977477507190977<20> * 53763491189967221358575546107279034709697<41> * 269540431689328877571039011529688228976641<42> * 25847314845878688998082949169327534633072641<44> * 543185295592672549499302394643640275918374120256093130759988042950370991361<75> * 2642485680977517391378418105893565400120906568749114540486543532701285392233930427735879112610561<97> * 99999999999999999999999999999999000000000000000000000000000000009999999999999999999999999999999900000000000000000000000000000001<128> * [5815386922...<2222>] * [3100884447...<4424>] * [4293234818...<8948>] * [9615571127...<17909>] (1.70%)
10^34081+1 = 1000000000...<34082> = 11 * 9689 * 15761 * 7187743 * 8792899 * 16864733 * 300567477887394052365757<24> * 29811355463297742645615812791522446524687<41> * 8955859986822981751383809840603974861999297964004527560289254265178892781447034540032897420548979315018635088359476294463<121> * 55635102055543836835465457049148501469803488052399095459738250346232835862545261814302848982434784577390375138359139691388144380289619426750242614561569128075543<161> * [1251009479...<33706>] (1.10%)
10^34082+1 = 1000000000...<34083> = 101 * [9900990099...<34080>] (0.01%)
10^34083+1 = 1000000000...<34084> = 7^2 * 11 * 13 * 19 * 127 * 2689 * 9739 * 19477 * 52579 * 136333 * 408997 * 459691 * 909091 * 1469357 * 5274739 * 63546943 * 128561077 * 575525539 * 780228037 * 2889259542733<13> * 4716240987277<13> * 11212600550299<14> * 3209454626718103<16> * 40097071953417668491<20> * 189772422673235585874485732659<30> * 51379603535041881211089214473853<32> * [1165160524...<532>] * [5339378687...<1047>] * [9531631077...<3184>] * [7994847962...<3228>] * [1499344901...<6433>] * [2442563148...<19435>] (0.67%)
10^34084+1 = 1000000000...<34085> = 73 * 137 * 3380332372502857<16> * [2957993178...<34065>] (0.06%)
10^34085+1 = 1000000000...<34086> = 11 * 103 * 4013 * 4813 * 9091 * 68171 * 87211 * 6612491 * 787223761 * 12061085521<11> * 21993833369<11> * 133944847051<12> * 146420963398401154361<21> * 4488792458298882059329<22> * 36265150972281249276757<23> * 81105898332609938445063487<26> * 1292945277584884163181284041<28> * 2971245460182291007178927517460929280931723051<46> * 160220794821014452066741918303580917664386555934641<51> * [1174186273...<320>] * 5810385374...<1553> * [3739820487...<6352>] * [1505639113...<25578>] (5.39%)
10^34086+1 = 1000000000...<34087> = 101 * 229 * 521 * 829 * 1289 * 2281 * 3121 * 4789 * 9901 * 113621 * 177841 * 1569889 * 8259301 * 66808561 * 304077901 * 1440247121<10> * 1902795889<10> * 21631222069<11> * 24024683489<11> * 305045929501<12> * 18371524594609<14> * 52875286008709<14> * 53397071018461<14> * 536430531035337769<18> * 722817036322379041<18> * 739653893349540289<18> * 1369778187490592461<19> * 3852034888625542529<19> * 11321155065857650469<20> * 757108543129939106221<21> * 1098390079641010596389<22> * 1900381976777332243781<22> * 33950736420661075851541<23> * 671082513552668016215173889<27> * 4181003300071669867932658901<28> * 8348207105308491327615593509<28> * 770195818106804497179476777749<30> * 6060517860310398033985611921721<31> * 8177669991059740173635806566781<31> * 294342151630080361329671206012541<33> * 19108466176791400681292709171992566565029<41> * [3431380773...<400>] * [4709139884...<442>] * [4799880529...<735>] * [6668896143...<831>] * [1285517236...<1027>] * [5203395727...<1575>] * [7933474262...<9478>] * [1511780788...<19001>] (1.76%)
10^34087+1 = 1000000000...<34088> = 11 * 179 * 11491 * 262739 * 4685623 * 12147237304901893<17> * 4180967272673252032291190917188955510245874180001164839931077197586653<70> * [6426249820...<366>] * [1099999999...<33617>] (0.31%)
10^34088+1 = 1000000000...<34089> = 17 * 5882353 * 32117935921937<14> * 71920414153937<14> * 437837398391377<15> * [9887519070...<34038>] (0.15%)
10^34089+1 = 1000000000...<34090> = 7 * 11^2 * 13 * 23 * 4093 * 8779 * 10331 * 22727 * 3346921 * 7202077 * 306732823 * 599144041 * 183411838171<12> * 4950970653455270291<19> * 16947225204617748613<20> * 41098917196155262369<20> * [8799640974...<1028>] * [1109238681...<2032>] * [5768483044...<10278>] * [2966751295...<20632>] (0.35%)
10^34090+1 = 1000000000...<34091> = 29 * 101 * 281 * 421 * 1949 * 3541 * 27961 * 136361 * 2795381 * 3471301 * 4092749 * 13489841 * 29853101 * 121499449 * 1213126741<10> * 60368344121<11> * 1980612909521<13> * 4110173035321<13> * 89315041741584401<17> * 243067019390850341<18> * 848654483879497562821<21> * 6546977248647714505481<22> * 6592588320483319839401<22> * 99999359605817138241056861<26> * 5638695788705281672279653881<28> * [3362266856...<913>] * [1042223333...<1885>] * [9875331296...<1927>] * [2097952895...<5803>] * [1416856992...<11641>] * [2052564515...<11660>] (0.78%)
10^34091+1 = 1000000000...<34092> = 11 * 293 * 11376121 * 3526645769<10> * 32005004401<11> * 37772759819<11> * 5575133934688727<16> * 10826684964539959837294043117<29> * 286578888976194997999922592330908602103011<42> * [2496865915...<449>] * [1481142430...<33517>] (0.37%)
10^34092+1 = 1000000000...<34093> = 73 * 137 * 3169 * 7577 * 98641 * 681841 * 99990001 * 2069520769<10> * 24220752313<11> * 3199044596370769<16> * [1319651590...<3781>] * [4129103782...<7558>] * [7086749772...<22689>] (0.19%)
10^34093+1 = 1000000000...<34094> = 11 * 1237 * 38329801 * 44092859 * 102860539 * 984385009 * 55602478259<11> * 5943603127859<13> * 612053256358933<15> * 182725114866521155647161<24> * 1932782378208168486700373<25> * 66287629848519079879793946893<29> * 573408944084407647616987278212508727<36> * 1471865453993855302660887614137521979<37> * 37597427372633848169498753071057309208493613<44> * 1444717414116629325014741879647282362357909367956352378595000668188348845124645807623208351032316317811617655604213036600335625808152140581460631346308342601069504206134844531691<178> * [1978329086...<33650>] (1.30%)
10^34094+1 = 1000000000...<34095> = 101 * 325130612201<12> * 1094999623361488469<19> * [2781037177...<34063>] (0.09%)
10^34095+1 = 1000000000...<34096> = 7 * 11 * 13 * 211 * 241 * 2161 * 9091 * 504607 * 119891659 * 59117365961<11> * 21609436857649<14> * 7856290831525616050721<22> * 15463040107977938034049<23> * 1595592606471382368015524884129<31> * [1801582041...<2267>] * [1719132263...<4471>] * [2368403611...<9056>] * [9100090999...<18176>] (0.37%)
10^34096+1 = 1000000000...<34097> = 353 * 449 * 641 * 1409 * 69857 * [9999999999...<34080>] (0.05%)
10^34097+1 = 1000000000...<34098> = 11 * 9743 * 58453 * 204583 * 909091 * 38052253 * 742924921 * 905479933 * 993859357 * 19448792413<11> * 25660982461205131<17> * 116476155362484924487571735996459<33> * [7939145167...<4795>] * [7310130862...<29188>] (0.34%)
10^34098+1 = 1000000000...<34099> = 101 * 9901 * 1304625487489<13> * 4906522162561<13> * 105208503113171609<18> * [9410826887...<11347>] * [1577834020...<22704>] (0.14%)
10^34099+1 = 1000000000...<34100> = 11 * 859 * 2237 * 81131 * 136397 * 2453543 * 43107481 * 57009401 * 1058313049<10> * 2182600451<10> * 2394828281<10> * 563402487961<12> * 3086236572066918985459<22> * 7306116556571817748755241<25> * 11205222530116836855321528257890437575145023592596037161<56> * [4917299955...<501>] * [7708204487...<685>] * [3564211538...<2499>] * [6665035954...<30235>] (0.53%)
10^34100+1 = 1000000000...<34101> = 73 * 137 * 401 * 617 * 881 * 1201 * 1489 * 1601 * 12401 * 109121 * 1676321 * 5919761 * 50755681 * 4703781281<10> * 5964848081<10> * 8566123361<10> * 24978492001<11> * 640543322297<12> * 830859185201<12> * 27661886780401<14> * 27908132670449<14> * 384705444182230291105649<24> * 2681849557963953515738161<25> * 2993296203125043846064372657854001<34> * 16205834846012967584927082656402106953<38> * 97645954668018846467287180866355758374263120864803042536883990817097<68> * 129694419029057750551385771184564274499075700947656757821537291527196801<72> * 11351872871736662882973881952326901248582292849023836549375698070374687854710556299659477866174801360953461975027241770726447219069239499432349602724177071521<158> * [2232494053...<447>] * [4003444242...<790>] * [1000099999...<1201>] * [1207726249...<2354>] * [1227050766...<4755>] * [9999999999...<24000>] (1.63%)