10^41301+1 = 1000000000...<41302> = 7 * 11 * 13^2 * 19 * 157 * 859 * 6397 * 52579 * 216451 * 461917 * 60034573 * 544815259 * 1006029527<10> * 1058313049<10> * 9006206197<10> * 78325226383<11> * 388847808493<12> * 7238816770771<13> * 63859295918564693<17> * 3313892317640456569<19> * 56540001776360839594874218856939642617050503<44> * 36096800156828895568286578224818258719817914995401933354161<59> * [1598235487...<300>] * [3316043472...<686>] * [1000999998...<2113>] * [4036617863...<4188>] * [1395828053...<8426>] * [9990010000...<25344>] (0.60%)
10^41302+1 = 1000000000...<41303> = 101 * 1054873483189<13> * 40882343106721<14> * 1439921227944130405196041866693950149<37> * 2421825498886875706568085804897442030525256100180294305383840413574930314582991559155197335837338973747281007884658776715423100656032123324942160620509168628560523446063044557248001192491268292405581<199> * [6876063708...<348>] * [9574607913...<40692>] (0.63%)
10^41303+1 = 1000000000...<41304> = 11 * 1237 * 4813 * 44092859 * 102860539 * 984385009 * 12061085521<11> * 612053256358933<15> * 4488792458298882059329<22> * 182725114866521155647161<24> * 1471865453993855302660887614137521979<37> * 2971245460182291007178927517460929280931723051<46> * [1174186273...<320>] * [1099999999...<40801>] (0.45%)
10^41304+1 = 1000000000...<41305> = 17 * 5882353 * 14621617 * 54438673 * 1288161617<10> * 15718321102193<14> * 9999999900000001<16> * [9072269741...<13730>] * [6839188921...<27513>] (0.15%)
10^41305+1 = 1000000000...<41306> = 11^2 * 23 * 331 * 4093 * 5171 * 8779 * 9091 * 22531 * 84923081 * 20163494891<11> * 318727841165674579776721<24> * 816036247718572827976015361<27> * [9090909090...<750>] * [4882113532...<2996>] * [1347979336...<7474>] * [1070498137...<29993>] (0.23%)
10^41306+1 = 1000000000...<41307> = 101 * 4349 * 80090161 * 94399080161<11> * 722817036322379041<18> * 1369778187490592461<19> * [2842562692...<2161>] * [1069925679...<39086>] (0.15%)
10^41307+1 = 1000000000...<41308> = 7^3 * 11 * 13 * 127 * 197 * 2689 * 27539 * 459691 * 578299 * 909091 * 1101521 * 8025361 * 18072797 * 6560496291091<13> * 27504552951037<14> * 45405688754819<14> * 4917833840230807<16> * 238965553118505739<18> * 441635300748933712807<21> * 58513940129535379432477007<26> * 5076141624365532994918781726395939035533<40> * 142857157142857142856999999985714285714285857142857142855714285571428571428572857143<84> * 1431135121058581084714805848152798178115682551730402597243763044287124792572084319412841582786640330468733<106> * 16547433246480520174349179207193433881181252010316221293841402155991914006665222503784862841092262365532740265874407144559674728417785771<137> * [2234522626...<545>] * [2753940342...<1662>] * [8622681680...<3322>] * [3457359601...<11735>] * [3635761329...<23507>] (1.30%)
10^41308+1 = 1000000000...<41309> = 73 * 137 * 2393 * 3593 * 21340073 * 1485938561<10> * 48448810657673<14> * 2441365509067753<16> * 4178437150016715837818641871709193476807772628503969494400330129962348520684914375257<85> * [7419705653...<1743>] * [1000099999...<39425>] (0.34%)
10^41309+1 = 1000000000...<41310> = 11 * 607 * 809 * 1213 * 53171 * 82619 * 1327067281<10> * 299892612646475567<18> * 1358791302758702868906124409<28> * 89909332182322637174267412766780073091874834080069255427757<59> * 11500490394117824585468796003575163076836624586334794818271756072956027758946488969<83> * 1399506617...<318> * [4439632104...<40778>] (1.29%)
10^41310+1 = 1000000000...<41311> = 61 * 101 * 109 * 181 * 409 * 541 * 1021 * 1621 * 3061 * 3541 * 4861 * 6121 * 8101 * 8161 * 9181 * 9721 * 9901 * 19441 * 26861 * 27541 * 27961 * 54469 * 68041 * 110161 * 119881 * 153469 * 302941 * 329941 * 569161 * 855781 * 1266841 * 2586721 * 2925721 * 4188901 * 5969449 * 7083289 * 28559389 * 39526741 * 49229101 * 68189581 * 134703241 * 158963941 * 504409681 * 1491383821<10> * 29177500861<11> * 999999000001<12> * 2709009355501<13> * 2744642926981<13> * 3626707988341<13> * 5071197096181<13> * 7568346838961<13> * 40798705910329<14> * 49281384122461<14> * 150854091143761<15> * 175435991549281<15> * 225974065503889<15> * 2324557465671829<16> * 37932032823724801<17> * 41786623836567901<17> * 239693526486549721<18> * 317114436682878841<18> * 695770173564071941<18> * 1784763975164554081<19> * 2989699799416918741<19> * 4002872985134526421<19> * 29639179139212862101<20> * 157538980319816607121<21> * 237612993541791006121<21> * 4999437541453012143121<22> * 13029637224192121671301<23> * 1105097795002994798105101<25> * 12001521923292075594263101<26> * 67128593062302476037266041<26> * 357543089339823698171301109<27> * 729719975272091111399590489<27> * 751762284003937848349377181<27> * 846160494149365798478410729<27> * 7997499229153265919258822361<28> * 44398000479007997569751764249<29> * 59779577156334533866654838281<29> * 92845710553674001296180353401<29> * 112544281755782732673671367061<30> * 1988731184935761442996825520561<31> * 2154723728212532558821244338441<31> * 168199595687205968107363838899561<33> * 57335082222680413300052573860618669<35> * 463690205012682010522939525012379881<36> * 292833529380862495499652402770042860551961<42> * 677827125083342723075551469213357648491441<42> * 2187911623791867750065408022595894263802921<43> * 114797635898427958794033542315180663747542680841<48> * 141849229571534821256183437819902857798933927761<48> * 902957305935680526667861848839993076071896366838581<51> * 1051361091529803074497312148085134194834726090632313891925201<61> * 3486475319440674008607957277969304463510523376893744438151274361<64> * 79802900676249574386310013540996547368285959759708473463717727701<65> * 390165385837451805986633040667495640526336339013830593297226360344237401<72> * 216228542818328308783433809596084627890392881018159564738348653328755727601<75> * 783547101206294913371101984838610145434601594940320359051755346054094539252541<78> * 341796090604674881849636380229010216626944264336893367139245334739710314141368913850637159182300704681<102> * 99117149282563722929051566237497937720056695397183763904238474736246500418974132909060059378824349483926175101<110> * 4108154882...<248> * 4388767674...<329> * 3973385473...<352> * 1000000000...<577> * [1159408809...<600>] * [3888296420...<603>] * [7962319780...<1111>] * [7894439831...<1146>] * [1353282792...<1685>] * [2108542524...<3387>] * [6628921976...<3442>] * [1453259723...<5125>] * [8719204522...<10339>] * [5602981760...<10350>] (8.54%)
10^41311+1 = 1000000000...<41312> = 11 * 10613 * 30817249 * 30884458296247<14> * 3338786746233023<16> * 4918445244727502358176820280164673127<37> * 14060959683864286267405933000927102019<38> * 33584520860278767011970207517032237108309731086439023<53> * 19364383321148719295180578853325741855858987848620134943<56> * [1682706163...<278>] * [3561661951...<40811>] (0.54%)
10^41312+1 = 1000000000...<41313> = 19841 * 976193 * 6187457 * 3456905537<10> * 834427406578561<15> * [2892760560...<41271>] (0.10%)
10^41313+1 = 1000000000...<41314> = 7 * 11 * 13 * 6299 * 86143 * 344887 * 9127213 * 17020957 * 56764063 * 6447141529<10> * 220130828432407<15> * 3998084065597121<16> * 4855067598095567<16> * 1160803383934463712259<22> * 297262705009139006771611927<27> * 30073566270559048948142559741512708796590524703892560552659<59> * 9090909090...<292> * [1275670801...<580>] * [4416885200...<13392>] * [4133905307...<26850>] (1.19%)
10^41314+1 = 1000000000...<41315> = 29 * 101 * 281 * 521 * 19069 * 23609 * 46309 * 495769 * 121499449 * 165338629 * 1762963721<10> * 654721485601<12> * 109988802568176221<18> * 1900381976777332243781<22> * 1669437171407543606749815921781<31> * 3802416727162854360879394522289<31> * 3571618567996393297210217238290456648947344377957590363519828421<64> * 431916413820617754546053476804635449461410533962843828981966782964481<69> * 5622811333...<417> * [1088442944...<2661>] * [3889513718...<5403>] * [1997097458...<32539>] (1.73%)
10^41315+1 = 1000000000...<41316> = 11 * 9091 * 61968680510881<14> * 29936335518955127201<20> * [9090909090...<8262>] * [5929491566...<33015>] (0.09%)
10^41316+1 = 1000000000...<41317> = 73 * 137 * 617 * 2377 * 16369 * 82633 * 432961 * 34810609 * 99990001 * 1789258241<10> * 6796152793<10> * 24387741577<11> * 32642967817<11> * 5872830042641<13> * 31894683299354153<17> * 126197002179733470481<21> * 283830826522232279893972777<27> * 16205834846012967584927082656402106953<38> * [9005890400...<1224>] * [3063753288...<2486>] * [9517501816...<12458>] * [1210049266...<24956>] (0.47%)
10^41317+1 = 1000000000...<41318> = 11 * 1423 * 7818581179<10> * 9615060929<10> * 3920488472716099<16> * 66443174541490579097997510158021076958392938976011506949065646573<65> * [2318820512...<507>] * [1406904878...<40707>] (0.25%)
10^41318+1 = 1000000000...<41319> = 101 * 11321 * 33961 * 5911541 * 2351282861<10> * 16692085818029<14> * 5774294197526381<16> * 182202742802607835615596881<27> * 9537037576103752545861071409967321761728999089417907986752766348817191016093460769<82> * [1095237960...<547>] * [1009999999...<40609>] (0.40%)
10^41319+1 = 1000000000...<41320> = 7 * 11 * 13 * 19 * 52579 * 348917 * 404009 * 79268207 * 5791877053<10> * 1377648787453<13> * 32413072299387000706646663<26> * [2510006883...<4546>] * [1377211876...<9159>] * [1000999998...<27541>] (0.18%)
10^41320+1 = 1000000000...<41321> = 17 * 5070721 * 5882353 * 115629889 * 2269624961<10> * 19721061166646717498359681<26> * [8648282884...<8248>] * [4406014329...<33015>] (0.14%)
10^41321+1 = 1000000000...<41322> = 11 * 11807 * 35419 * 708361 * 909091 * 198381211939<12> * 23409016756511882939<20> * [6608350998...<5857>] * [1099999890...<35413>] (0.13%)
10^41322+1 = 1000000000...<41323> = 101 * 389 * 569 * 7669 * 9901 * 16189 * 10909009 * 14980681 * 380623849488714809<18> * 9234177915412657069<19> * 7716926518833508778689508504941<31> * 93611382287513950329431625811490669<35> * 82519882659061966708762483486719446639288430446081<50> * 791145568078856137872408096636314622331869565265096415358925771275309<69> * 78412655334235167606162810513004420610966509546603404268745999503561001<71> * 843407644889588409015473024758866665298118138956929263554289382634028509255935457469<84> * 101253197252546739391696960929770677225345517172721793498446653911414524366799333412935173798585607285941<105> * 32459577600675557860942537579547020207960799876413377335594586605416959347268194103170247296625068200526946320832808609<119> * [6742009859...<377>] * [1009999999...<13441>] * [9075984812...<26873>] (1.53%)
10^41323+1 = 1000000000...<41324> = 11 * 17299 * 165293 * 43058567 * 57009401 * 2182600451<10> * 36947244823619183<17> * 7306116556571817748755241<25> * 909090909090909090909090909091<30> * [5780680964...<926>] * [2977217936...<1244>] * [1405031191...<39048>] (0.26%)
10^41324+1 = 1000000000...<41325> = 73 * 137 * 110906111231009<15> * [9015734109...<41306>] (0.04%)
10^41325+1 = 1000000000...<41326> = 7 * 11 * 13 * 59 * 211 * 241 * 251 * 571 * 1103 * 1451 * 2161 * 2851 * 5051 * 5801 * 9091 * 17401 * 33931 * 82651 * 242441 * 253651 * 347131 * 413251 * 470251 * 1458973 * 1909651 * 30104611 * 58765601 * 1134434761<10> * 2172376081<10> * 6416791721<10> * 9422513251<10> * 70350656881<11> * 94700896757<11> * 109138977001<12> * 638453709757<12> * 1812604116731<13> * 2433146345771<13> * 28160549601451<14> * 40006815580651<14> * 43974510874783<14> * 78875943472201<14> * 121450506296081<15> * 135080726389891<15> * 12571985633814169<17> * 17996132431060961<17> * 33885326207388881<17> * 246674237689788343<18> * 909090909090909091<18> * 3530816312280259198921<22> * 11382273828031938028891<23> * 31827056337743972254801<23> * 37536220395103028946001<23> * 213266857468399295922877<24> * 430980650733675562214801<24> * 3605627469350067392124001<25> * 43135513763991692454656851<26> * 154083204930662557781201849<27> * 1174705187104089640352756731<28> * 753201806271328462547977919407<30> * 1274194732898148471766404179653<31> * 10000099999999989999899999000000000100001<41> * 4996731930447843676185843959746621491531100801<46> * 2689733081149583259955660466703961213355942983143965614283081<61> * 97862727665480231246011008935563207741144491224418517422691228321<65> * 4266662839057986102285502119162080638872058454152278425256962985792707796691<76> * 3086378389952794464452477594457481658796144989454387663022612747109648355164040568369321<88> * 3245978377655567212760904825925262846295198021902309330517162600205414882257480287263152055681<94> * [6758940096...<284>] * [2473501391...<403>] * 1579507159...<546> * [8322065172...<675>] * [7718148479...<955>] * [7522002288...<1096>] * [1174430072...<1985>] * [1084769906...<4001>] * [2419812656...<10075>] * [1000009999...<20161>] (4.10%)
10^41326+1 = 1000000000...<41327> = 101 * 6942769 * 44549429 * [3201133369...<41310>] (0.04%)
10^41327+1 = 1000000000...<41328> = 11^2 * 23 * 103 * 859 * 4013 * 4093 * 8779 * 22543 * 37571 * 51767 * 192611 * 483209 * 511438099 * 1058313049<10> * 21993833369<11> * 22144088539<11> * 107374286059<12> * 264752347289<12> * 630019294841<12> * 1284680342573<13> * 344954191876997<15> * 587128597716013<15> * 6917979239326637<16> * 587063793048979091<18> * 6315203673292075607<19> * 104730101107272149081<21> * 125797399492676917721<21> * 4140312456971983052801<22> * 70919383630417672662131<23> * 10939024875720659512247051<26> * 42323992639419349049079264521<29> * 2016492306990976282439501774196098215666169<43> * 34607524609209512562213651270561528862879196390936320471942325254862879783<74> * 1136558791710654899629429576107642694020211020408036719308522808314581197380973<79> * 3223223954501479327423165941405274903133026914570794172630632038291499361359375290791990253041841<97> * 55957395872359820769658435528889482277826574998014018514928782197341726428854387236670658714503098749571<104> * 6923777301528230940787780295400313221683793149948747168301754689555692396138969010514764869002307736762791042459773879699664648964996271733<139> * [9090909091...<1920>] * [3524777852...<2700>] * [3853626925...<3186>] * [9999999999...<32640>] (2.13%)
10^41328+1 = 1000000000...<41329> = 97 * 353 * 449 * 641 * 673 * 1409 * 2017 * 13249 * 69857 * 70849 * 82657 * 202049 * 206209 * 518113 * 909217 * 936769 * 1067329 * 1291009 * 1454209 * 2314369 * 9396577 * 16834273 * 54635617 * 480865057 * 43735845217<11> * 66554101249<11> * 7296895170049<13> * 75118313082913<14> * 56763828581443201<17> * 100903134230125793<18> * 77700458351603754241<20> * 443528506325304401971649<24> * 1794537896470838269146241<25> * 465149401935712615628055361<27> * 20275219423179517169965224971521<32> * 1949975276463991211904463972906337<34> * 217860610452031121598489279950204653537<39> * 155944009296214054100626916003794407157304353<45> * 70716147055257711374123575798428608590219877617672752248112085912824160137075376116481<86> * 99866972524271704433794047804855032844718975174004188801858970187176731955358724384510844782429115617<101> * 1685768492...<551> * [5082369529...<590>] * [8349226911...<1232>] * [2477228266...<3797>] * [1000000000...<3841>] * [6533382529...<7667>] * [9567795977...<23021>] (2.86%)
10^41329+1 = 1000000000...<41330> = 11 * 7253 * 165317 * 400026743 * 6922938133<10> * 8474255788807<13> * 422650073734453<15> * 22095959315210731<17> * 296557347313446299<18> * 35680209599506820005912327<26> * 393576025275081898100661379<27> * 12426427986062944600420729007<29> * [1536789484...<1015>] * [4349825726...<40145>] (0.41%)
10^41330+1 = 1000000000...<41331> = 101 * 3541 * 27961 * 250819557728941<15> * 2639538425235447301<19> * [9900990099...<8264>] * [1069907137...<16511>] * [1425889604...<16514>] (0.10%)
10^41331+1 = 1000000000...<41332> = 7 * 11 * 13 * 47 * 139 * 2531 * 31051 * 265957 * 1487917 * 54912727 * 2956378877<10> * 8621481277<10> * 143574021480139<15> * 549797184491917<15> * 7547145648097015693<19> * 24649445347649059192745899<26> * 566182860314268445323284219<27> * 50655425376515589402074128743862249<35> * 6037250154...<566> * [5234520417...<1135>] * [3720768026...<13147>] * [7093830335...<26296>] (1.82%)
10^41332+1 = 1000000000...<41333> = 73 * 137 * [9999000099...<41328>] (0.01%)
10^41333+1 = 1000000000...<41334> = 11 * 18599851 * 28567677261649<14> * 3342624318510877<16> * 42573869042137561<17> * [1202242926...<41280>] (0.13%)
10^41334+1 = 1000000000...<41335> = 101 * 9901 * 771569 * 1033593699289<13> * 3290928594213349<16> * 5539121143811989<16> * 13873849361290729<17> * 16837545495809861<17> * 23023967955265160767768376873521136169786061<44> * 4300297028838474156015268798064619519844286165272568941158694953418333634388515222398381949374346543672407516659353137441<121> * 9771721622...<316> * [5548166334...<13574>] * [5485808932...<27193>] (1.37%)
10^41335+1 = 1000000000...<41336> = 11 * 9091 * 151169 * 909091 * 3176891 * 4147571 * 307830013 * 17869765327<11> * 278660067841<12> * 330289103173<12> * 265212793249617641<18> * 3374803948069233657246676428211<31> * [1953590856...<1167>] * [1025976656...<4684>] * [1863715197...<7059>] * [3262398153...<28309>] (0.29%)
10^41336+1 = 1000000000...<41337> = 17 * 5882353 * [9999999900...<41328>] (0.02%)
10^41337+1 = 1000000000...<41338> = 7 * 11 * 13 * 19 * 52579 * 119419 * 63438517 * 70541929 * 14175966169<11> * 168417106903<12> * 784511976373<12> * [9090909090...<1530>] * [1172966475...<3044>] * [1577905736...<9173>] * [5937639111...<27529>] (0.15%)
10^41338+1 = 1000000000...<41339> = 89 * 101 * 105058649 * 1052788969<10> * 1056689261<10> * 20242579741<11> * [4655656775...<3738>] * [1009999999...<37561>] (0.10%)
10^41339+1 = 1000000000...<41340> = 11 * 23447 * 515813 * 5173493173<10> * 4795120777477<13> * 8185815585743<13> * 23249839041001<14> * 45135180224672561394876945851667198023<38> * 909090909090909090909090909090909090909090909090909090909090909091<66> * [1665377017...<569>] * [2329846706...<40608>] (0.40%)
10^41340+1 = 1000000000...<41341> = 73 * 137 * 313 * 12721 * 18233 * 1101673 * 1580801 * 1676321 * 18079361 * 66365521 * 99990001 * 311323273 * 5964848081<10> * 67406298457<11> * 1134173360081<13> * 113293490373337<15> * 225949462038457<15> * 1488067111584049<16> * 899319337247551841<18> * 4487398067478973921<19> * 23259053626497270401<20> * 23641392997940421257<20> * 1358074433371719716641<22> * 25922039400701642010697<23> * 52479828164257337529193<23> * 291593563046646669491593<24> * 24017595110149983857176317121<29> * 100009999999899989999000000010001<33> * 706882718657645277228087439919935993<36> * 120920505705101252491925533049923433521<39> * 632527440202150745090622412245443923049201<42> * 7323941687838105624847742701467683590147273<43> * 175067038724863563854848045107963303611128869041<48> * 6279815040943032407714418831204387527919360005277361<52> * 7523020307427066273763456609903850552762967576510974081<55> * 54469179239047116300845682623717697162577784999950014081337618457<65> * 4721039325728010820594679541353546669967335225378893722566311366791400472881<76> * 1193142585...<344> * [3357526645...<358>] * [2886112217...<788>] * [9999000100...<1664>] * [4299831008...<2477>] * [1093631124...<4948>] * [5530615877...<9977>] * [1000099999...<19969>] (2.81%)
10^41341+1 = 1000000000...<41342> = 11 * 21497321 * [4228856744...<41333>] (0.02%)
10^41342+1 = 1000000000...<41343> = 29 * 101 * 281 * 121499449 * 951938585362724549958696421<27> * [1040087065...<5878>] * [1009999999...<35425>] (0.10%)
10^41343+1 = 1000000000...<41344> = 7 * 11 * 13 * [9090909090...<13780>] * [1098901098...<27561>] (0.01%)
10^41344+1 = 1000000000...<41345> = 257 * 15361 * 453377 * 87308801 * 12290618113<11> * 1777011944410696027393<22> * 693530147837093616035672716860673<33> * 5066551097314364199107963501050299985409<40> * 55871187633753621225794775009016131346430842253464047463157158784732544216230781165223702155223678309562822667655169<116> * [8136287294...<2038>] * [1834314745...<2203>] * [1000000000...<36865>] (0.58%)
10^41345+1 = 1000000000...<41346> = 11 * 9091 * 231533 * 407975780510827877<18> * [9624097937...<8245>] * [1099989000...<33073>] (0.07%)
10^41346+1 = 1000000000...<41347> = 101 * 9901 * 413461 * 2664521 * 4465369 * 10667269 * 39416521 * 56689961 * 999999000001<12> * 4233751833600354001<19> * 110609538675626862190901<24> * 488937090222736594777621<24> * [5925987616...<4555>] * [1237839304...<9135>] * [5077562566...<27533>] (0.30%)
10^41347+1 = 1000000000...<41348> = 11 * 9689 * 16864733 * 1901300449<10> * 508399838327574001<18> * 2846390188891241030645451773087716881978563746547069042984813032147999326242449<79> * 6282138071505210318841228543562283508437569619884438177000652801796615935488955777747431198279234592543622766101015393665597896857185313159459<142> * 55635102055543836835465457049148501469803488052399095459738250346232835862545261814302848982434784577390375138359139691388144380289619426750242614561569128075543<161> * [5785513807...<40927>] (1.02%)
10^41348+1 = 1000000000...<41349> = 73 * 137 * 1736617 * 100882142458830878297<21> * [5707398907...<41318>] (0.07%)
10^41349+1 = 1000000000...<41350> = 7^2 * 11^2 * 13 * 23 * 127 * 463 * 2689 * 4093 * 7877 * 8317 * 8779 * 24179 * 42961 * 82699 * 105253 * 165397 * 318979 * 459691 * 590437 * 909091 * 4277743 * 5540767 * 7444361 * 11172823 * 40010797 * 117986419 * 599144041 * 2135191477<10> * 183411838171<12> * 719120389219<12> * 949168362451<12> * 1510468077493<13> * 10641782159779<14> * 386608358891371<15> * 4539402627853030477<19> * 4924630160315726207887<22> * 136094982876222218559943<24> * 298624654577777259951032639717<30> * 406122163793038854621269776053091<33> * 523661705392754764972834211810001059<36> * 803956626149925031112757148192164970057208483589704631288984124647169634536861236854805849361<93> * 17360270948380236765442123580448180934246742941840774929827069381097446101825710313953633305039247538221205037054245870292654737645806593390849<143> * 5637215218...<312> * [2571449219...<1062>] * [3963457076...<1739>] * [2160875522...<2124>] * [8845673834...<3533>] * [1528640978...<10664>] * [3070663243...<21309>] (2.23%)
10^41350+1 = 1000000000...<41351> = 101 * 3541 * 27961 * 60101 * 115781 * 7019801 * 581794501 * 882905201 * 611383567601<12> * 14103673319201<14> * 1680588011350901<16> * 8615844485080668061<19> * 7732652742988151960568776872507813340801<40> * [1149160725...<1634>] * [4619131343...<3293>] * [3088943781...<3299>] * [1479450288...<16472>] * [1701717357...<16512>] (0.35%)
10^41351+1 = 1000000000...<41352> = 11 * 21404848939<11> * [4247126021...<41340>] (0.03%)
10^41352+1 = 1000000000...<41353> = 17 * 192977 * 992449 * 5882353 * 1876925266369<13> * 3096742515969601<16> * 9999999900000001<16> * 22240763851589761<17> * [2329940047...<13755>] * [1733563396...<27519>] (0.19%)
10^41353+1 = 1000000000...<41354> = 11 * 859 * 19087 * 1058313049<10> * 1927762151740361<16> * [4762880018...<3176>] * [5706098125...<38145>] (0.08%)
10^41354+1 = 1000000000...<41355> = 101 * 349 * 1289 * 38861 * 136649 * 618049 * 1507421 * 2049349 * 18371524594609<14> * 66896398043281<14> * 73019536365089<14> * 12274117319601725201<20> * 90823875491198155129<20> * 4181003300071669867932658901<28> * 320027498487407498891198822189402318849<39> * 11811806375201836408679635736258669583187541<44> * 483128549554512237305554588359039822397307149685578249<54> * [1371655367...<1199>] * [2831025474...<1243>] * [7391199350...<1675>] * [9900990099...<36960>] (0.67%)
10^41355+1 = 1000000000...<41356> = 7 * 11 * 13 * 19 * 211 * 241 * 2161 * 3677 * 9091 * 20219 * 29611 * 52579 * 297757 * 578971 * 3762091 * 19548848531<11> * 198321012397<12> * 8985695684401<13> * 149962757640601<15> * 228410411406571<15> * 4828230544977123344985645497983<31> * [1222796009...<911>] * [5097124133...<1786>] * [5626873615...<3662>] * [5047372373...<5497>] * [9100090999...<7344>] * [7554282400...<22012>] (0.35%)
10^41356+1 = 1000000000...<41357> = 73 * 137 * 7841 * 52781463673<11> * 2767213370435843281<19> * 127522001020150503761<21> * 2126036272490874503033<22> * 5010620991340707523594168804430658367520003649793780623118456073<64> * 3781177083560380583441154025352663121070150968307048633209358859027273162533881299502797579969<94> * [9999000099...<840>] * [4704058970...<5019>] * [3613743741...<35262>] (0.57%)
10^41357+1 = 1000000000...<41358> = 11 * 972678426133<12> * [9346263725...<41344>] (0.03%)
10^41358+1 = 1000000000...<41359> = 101 * 6781 * 9901 * 76129 * 190321 * 390889 * 1587221 * 4801921 * 2834820061<10> * 3812801341<10> * 52743988481<11> * 81183810541<11> * 132305743681936841<18> * 837964473137649969469<21> * 2418666002101476599410229029<28> * 101444162656037151745878558385892753596849<42> * 75743388768260974116327848920184337528059461788181539337429709<62> * 1305704182448226909845888790598975114740359397093421223355030629345156521<73> * 62554557765317517282085861045655294434955453111717816503072219942390838369658841<80> * 1087990925195463452802538049940594096989130726971208253428665898558089768698552971751226781442226809<100> * 226813030797815731197778256645639265718556459184651841552579161651406131077524640644151258260029762686434793845331341<117> * [1489454343...<445>] * [1205301695...<13420>] * [9901000000...<26880>] (1.49%)
10^41359+1 = 1000000000...<41360> = 11 * 1889 * 65598179 * 1357962046159139<16> * 1090805842068098677837<22> * 8369769456664849705148248771<28> * 4411922770996074109644535362851087<34> * [1219310752...<650>] * [1099999999...<40601>] (0.27%)
10^41360+1 = 1000000000...<41361> = 353 * 449 * 641 * 1409 * 4513 * 11969 * 14081 * 69857 * 876833 * 1458881 * 1634881 * 4913921 * 18453761 * 2912902081<10> * 470909313601<12> * 795439669537<12> * 947147262401<12> * 5054095645487169601<19> * 312910899745589556275258593<27> * 349954396040122577928041596214187605761<39> * 585903038877880401685466313109511755841<39> * 361057759540097288072937247979725352972055181853408265699800478521559326591153094457376181755912540092512773699689532234798987224827675649<138> * [2398265690...<579>] * [8902392316...<694>] * [6854568672...<2938>] * [1140468025...<7355>] * [3433002456...<29431>] (0.88%)
10^41361+1 = 1000000000...<41362> = 7 * 11 * 13 * 103 * 4013 * 15634459 * 3409032013<10> * 21993833369<11> * 291078844423<12> * 7250767493899903<16> * 377526955309799110357<21> * [2666712737...<801>] * [1515565214...<1605>] * [7035740731...<12953>] * [9100000000...<25920>] (0.20%)
10^41362+1 = 1000000000...<41363> = 101 * [9900990099...<41360>] (0.00%)
10^41363+1 = 1000000000...<41364> = 11 * 82727 * 401813 * 909091 * 20787863 * 2122689869717<13> * 3335363165023<13> * 2447994889990739<16> * 7966595011106561<16> * 909090909090909091<18> * 3416317897947415066069561<25> * 247025236977306025681323889<27> * 835375365056917236891484436143<30> * 61828645758322140842666144519962696417487<41> * 72021403933746126426491665754465510017877<41> * 972257004001983078662961403513565995843134142539444914120798476327<66> * 6233584499738299340076596109269276052417987101388073691610569618213<67> * 375700593067719892293634457990858198043520716058451444985194026578547509426501929457106333<90> * 1099999890...<1861> * [5379579732...<5552>] * [2725613239...<33468>] (5.67%)
10^41364+1 = 1000000000...<41365> = 73 * 137 * 3169 * 98641 * 99990001 * 96190980073<11> * 233350235353<12> * 1664590439089<13> * 1905616316161<13> * 61354806833833<14> * 3199044596370769<16> * 338261246934335623292406033601<30> * 1726290008991504500177463302688697<34> * 579276943498154282123686999881829009033<39> * 4817877286...<1485> * [4455545000...<3034>] * [1000000000...<9169>] * [3152514853...<27480>] (4.07%)
10^41365+1 = 1000000000...<41366> = 11 * 9091 * 99277 * 2647361 * [9157115032...<8267>] * [4155039679...<33082>] (0.04%)
10^41366+1 = 1000000000...<41367> = 101 * 149 * 521 * 3109 * 111149 * 308569 * 338669 * 708840373781<12> * 2259238786077134681<19> * 669031686661427842829<21> * 1900381976777332243781<22> * 216958873469174619232843649<27> * 34173003529432362514766613941<29> * 40548140514062774758071840361<29> * 58587009814376657974497513881<29> * 2923500556298303355222653948542706598448925085853709961673200056984872843366529<79> * [1009999999...<865>] * [1448795023...<985>] * [2325195491...<2941>] * [9900990099...<36288>] (0.70%)
10^41367+1 = 1000000000...<41368> = 7 * 11 * 13 * 9928081 * 42856213 * 128651371 * 80211854011<11> * 7457381263542540157<19> * [2211020437...<13754>] * [1379922643...<27559>] (0.13%)
10^41368+1 = 1000000000...<41369> = 17 * 5882353 * [9999999900...<41360>] (0.02%)
10^41369+1 = 1000000000...<41370> = 11 * 121081 * 389034077 * 123592845889<12> * 24498699495047<14> * 133712688464874331<18> * 2670502781396266997<19> * 5630600680627007087<19> * 526905291628027093289<21> * 3404193829806058997303<22> * 873234964696345278371172272680705837<36> * [9571423822...<903>] * [2114620410...<40295>] (0.42%)
10^41370+1 = 1000000000...<41371> = 29 * 61 * 101 * 281 * 421 * 3541 * 9901 * 11821 * 27581 * 27961 * 35461 * 99289 * 110321 * 226549 * 1252921 * 3471301 * 4188901 * 13489841 * 16666201 * 17292661 * 39526741 * 121499449 * 1384194841<10> * 2723966281<10> * 34215830741<11> * 42681134161<11> * 60368344121<11> * 171670606801<12> * 424451728681<12> * 500230319401<12> * 149523209651341<15> * 157594692188205241<18> * 509662096097254921<18> * 4458192223320340849<19> * 140315676788334166621<21> * 848654483879497562821<21> * 61128400366922538246661<23> * 3298621327616170685375569<25> * 32346281503803379241583721<26> * 139790941013628227711346421<27> * 2028492049278311970930184721<28> * 306089199113717892024275119681<30> * 4860953135773095938955057127729<31> * 57757234955479108279003493865169<32> * 282448028612066894256984424869264385801<39> * 39183683903547299202471125940449908897423309<44> * 95857172574244109092139928579854506165297073472804809<53> * 9557377469...<291> * [1748696922...<753>] * [1008547418...<780>] * [2824060999...<785>] * 1155772762...<1502> * [1006037017...<1534>] * [1213955702...<2300>] * [9345899345...<4649>] * [1379792195...<4678>] * [3206516229...<4699>] * [2516570661...<9360>] * [5430010517...<9392>] (5.91%)
10^41371+1 = 1000000000...<41372> = 11^2 * 23 * 4093 * 8779 * 67699 * 7695007 * 57292215641<11> * 6366763567561<13> * 2555894625234150933429720565727<31> * [5253903799...<3725>] * [3918946417...<37570>] (0.19%)
10^41372+1 = 1000000000...<41373> = 73 * 137 * 776055977 * 176394109285408793<18> * [7304314209...<41342>] (0.07%)
10^41373+1 = 1000000000...<41374> = 7 * 11 * 13 * 19 * 27583 * 52579 * 41538493 * 424707637 * 1071698611<10> * 9217159687<10> * 7110010668267131881<19> * [2042132469...<4580>] * [1319340169...<9161>] * [1086017854...<27567>] (0.16%)
10^41374+1 = 1000000000...<41375> = 101 * 15101 * 20481641 * 718606649 * 40160350429<11> * 11621897163409200201223887528138662702903389700229845471814520224606678003269<77> * 1651732052430074361873884440693609861769561877782463897348222686035759826875067120033981<88> * 178720049686128661890023146702383771619725932844782734965468342419910154928823674286045929<90> * 188981422179250214477885038956646476812007525220846625175628245017547495717341304519447280552146559165713534073382085460954497219653965265520569<144> * 16939050239764829744069756733623580001118023970162008400581443223287867889068114889297596061940113207297675910159110046284460131801859007072447569<146> * [1009999999...<40801>] (1.39%)
10^41375+1 = 1000000000...<41376> = 11 * 251 * 5051 * 9091 * 21001 * 162251 * 4965001 * 38329801 * 2910929851<10> * 3454249801<10> * 10893295001<11> * 106450841251<12> * 5943603127859<13> * 78875943472201<14> * 68090424344275618544761<23> * 1932782378208168486700373<25> * 66287629848519079879793946893<29> * 573408944084407647616987278212508727<36> * 18802215938788787651629737655497612041<38> * 37597427372633848169498753071057309208493613<44> * 269409792871731627664586194662281233853701011108906726055753272681082282441709251<81> * 1444717414116629325014741879647282362357909367956352378595000668188348845124645807623208351032316317811617655604213036600335625808152140581460631346308342601069504206134844531691<178> * [2487365029...<1251>] * [3227182347...<6580>] * [2014098285...<32994>] (1.33%)
10^41376+1 = 1000000000...<41377> = 193 * 769 * 19841 * 827521 * 976193 * 6187457 * 84489793 * 12293140609<11> * 834427406578561<15> * 1253224535459902849<19> * 21255083520856799518081<23> * 53763491189967221358575546107279034709697<41> * [1208428547...<13755>] * [4529706770...<27480>] (0.34%)
10^41377+1 = 1000000000...<41378> = 11 * 47 * 139 * 967 * 2531 * 30841 * 909091 * 996647 * 1569936761<10> * 2606718619<10> * 549797184491917<15> * 1203881882727712699967<22> * 5135979145667172436691<22> * 23391028206417273637358380573<29> * 55825391503338973544921658331<29> * 7775058388319250595762800404689<31> * 9498400822691862046976266078607<31> * 3309383964775818489317002654646529291847<40> * 41236044512156603777979544195943152517271779<44> * 6621650829759394867011952029659651154933062041670057842400167<61> * 1079532167431061415165932592055901092454451592309148326151617900514215922407756340218895879841860600138403440141998167181967545309634241890872640207<148> * [8243921966...<1499>] * [2074485555...<5573>] * [9090910000...<33792>] (1.24%)
10^41378+1 = 1000000000...<41379> = 101 * 1241341 * 3018161 * 28559389 * 1491383821<10> * 268495469789<12> * 243566938299661<15> * 2324557465671829<16> * [1346845830...<2412>] * [3030353627...<38895>] (0.17%)
10^41379+1 = 1000000000...<41380> = 7 * 11 * 13^2 * 157 * 859 * 6367 * 6397 * 216451 * 82013179 * 1058313049<10> * 388847808493<12> * [9090909090...<1060>] * [1725932305...<2117>] * [1099999999...<12721>] * [1109577766...<25433>] (0.12%)
10^41380+1 = 1000000000...<41381> = 73 * 137 * 16553 * 993121 * 1676321 * 5964848081<10> * 60656884471860161<17> * [9958633687...<8251>] * [1007027341...<33083>] (0.11%)
10^41381+1 = 1000000000...<41382> = 11 * 37310581522171<14> * [2436549825...<41367>] (0.04%)
10^41382+1 = 1000000000...<41383> = 89 * 101 * 229 * 2281 * 4789 * 9901 * 41801 * 56629 * 126541 * 170369 * 949609 * 29606281 * 304077901 * 384538969 * 429572749 * 1052788969<10> * 1056689261<10> * 1675384129<10> * 5419170769<10> * 79082656489<11> * 999999000001<12> * 52875286008709<14> * 669322047408829<15> * 789390798020221<15> * 2361000305507449<16> * 722817036322379041<18> * 739653893349540289<18> * 1369778187490592461<19> * 5158696374674183881<19> * 3041192204266706929561<22> * 33950736420661075851541<23> * 41317448166585793386581<23> * 1491164086760128255001869<25> * 1538607523068637497164701<25> * 2050658332436114459080741<25> * 49523621589303034825060922701<29> * 367758735915513355987163036605562773789741<42> * 209363088773816814667969748813613304559806235889961<51> * 8218476795659338409712353841905411607826230659151143998522545586866704239099075512109<85> * 112140147722111043368115238376781750396610212197485327927551327238484846570899558676962628229357741668578262708884771183293753569<129> * 10478831745658834154442146977631154415092805625223194933521483159740217604649402290053497067042419545290235569369671506367773081665717583993696581<146> * 7944943878...<334> * 1000000000...<441> * [9901000000...<720>] * [1071920203...<1259>] * [5968774460...<2151>] * [3616024615...<3923>] * [2327894407...<7912>] * [9999999999...<23760>] (4.01%)
10^41383+1 = 1000000000...<41384> = 11 * 59 * 248299 * 32265249143<11> * 154083204930662557781201849<27> * [9090909090...<1426>] * [1373038426...<39913>] (0.11%)
10^41384+1 = 1000000000...<41385> = 17 * 113 * 496609 * 5882353 * 295551206987009<15> * 73765755896403138401<20> * 119968369144846370226083377<27> * [9999999900...<5904>] * [6813224211...<35404>] (0.18%)
10^41385+1 = 1000000000...<41386> = 7 * 11 * 13 * 179 * 211 * 241 * 373 * 2161 * 8011 * 9091 * 11161 * 44641 * 168211 * 993241 * 3154339 * 4600411 * 6373291 * 9021931 * 19324037 * 236258689 * 317384681 * 3590254957<10> * 6760092011<10> * 3925963357681<13> * 5175887421161<13> * 16115071712611<14> * 118941438655807<15> * 5167617497664851<16> * 12147237304901893<17> * 22672589441232691<17> * 332073601264920920030201<24> * 909090909090909090909090909091<30> * 6548241632713397411808073416931<31> * 553114664478262993662992814601370587114291<42> * 18381907262281244633158190677786966663091011<44> * 3093888678771257769541252942946202755752229401<46> * 1158334526259936604206939942487445760921582415411<49> * 14368738499109009207276617717065856029384012938971<50> * 1054927415257693631440903203309586374903030044747807503<55> * 3092189186638711651761630213691413266133197806226014052371<58> * 80855294634541341009709576571189264494703351351547829906051<59> * 630859966703635424146382843107732835487998079409968772589281<60> * 4180967272673252032291190917188955510245874180001164839931077197586653<70> * 4857900688365130469291831549890842547443917376935406225054646143856579892970236911030721<88> * 277647953094263129557791800758437062357091717570293219577986145801595477739802212252078988231259971169<102> * 4578874233436492255420074091728599390739701337128105672841258457419967593738672737760634060764636230914653052782313062339754313662352611<136> * [4190562944...<682>] * [2409389620...<2625>] * [1008653247...<5274>] * [2755897670...<10541>] * [1106368051...<21115>] (2.78%)
10^41386+1 = 1000000000...<41387> = 101 * [9900990099...<41384>] (0.00%)
10^41387+1 = 1000000000...<41388> = 11 * 14402677 * 58180133002125091<17> * 2491007085409884300877<22> * [4355263354...<41341>] (0.11%)
10^41388+1 = 1000000000...<41389> = 73 * 137 * 9684793 * 99990001 * 23081047923617249<17> * [4332125704...<13776>] * [1032649845...<27578>] (0.09%)
10^41389+1 = 1000000000...<41390> = 11 * 1251272249<10> * [7265332622...<41379>] (0.02%)
10^41390+1 = 1000000000...<41391> = 101 * 3541 * 27961 * 49669 * 82781 * 17218241 * 106173629 * 235757441 * 167981894461<12> * 1705306738225481<16> * 178457012016865296551341<24> * 538235358686878562668009<24> * [3488223659...<8240>] * [1441187677...<16513>] * [4079598035...<16522>] (0.28%)
10^41391+1 = 1000000000...<41392> = 7^2 * 11 * 13 * 19 * 127 * 293 * 379 * 877 * 1459 * 2689 * 3943 * 18397 * 52561 * 52579 * 445447 * 459691 * 909091 * 1415179 * 3601237 * 5274739 * 70541929 * 2458921051<10> * 14175966169<11> * 33237742567<11> * 247482272761<12> * 14874074740939<14> * 22039039553077<14> * 404838774066943<15> * 549441513023131<15> * 16071703765482961<17> * 456502382570032651<18> * 8642670625016390971<19> * 4231011039172548998893<22> * 11711644564422894025699<23> * 610600386089858349939139<24> * 10826684964539959837294043117<29> * 189772422673235585874485732659<30> * 5830219322612939561246246317093<31> * 49362030073896516588593978862967<32> * 26250114465924084172186238976878195407<38> * 63060936944326674212591995662102125143<38> * 286578888976194997999922592330908602103011<42> * 3943828696311504418317587369596960932033847171<46> * 61144905745257441183391523202790304609284611733<47> * 4841193139246416682912992055944726358563520908223<49> * [2370319446...<271>] * [1345733557...<422>] * [1099999890...<433>] * [7917978690...<804>] * [1200818030...<1251>] * [5430238625...<2588>] * [2025848609...<3857>] * [4537402805...<7763>] * [9999999999...<23328>] (1.64%)
10^41392+1 = 1000000000...<41393> = 353 * 449 * 641 * 1409 * 69857 * 165569 * 19725473 * 157092193 * 1481572513<10> * 40336502753<11> * 754651871841089<15> * 49190086416352961<17> * 1777143200513756811697855307873<31> * 33857126287532892390194544682750180705056727269149496594755320455272870740814407021435721731880166393643173336787745221520888878951616858121601<143> * [2417686921...<3121>] * [6039777977...<38011>] (0.63%)
10^41393+1 = 1000000000...<41394> = 11^2 * 23 * 4093 * 8779 * 60209 * 158047 * 216877 * 290249 * 1038731 * 21999145237<11> * 6385133303099<13> * 3096825432750653910867529<25> * 9836692748438760158338693<25> * 243045662245058983954509023<27> * 5671624529731401897846793960607<31> * 21087607449185737846314615475439333<35> * 29374061102839796677177079236872451361<38> * 9090909090909090909090909090909090909090909090909091<52> * 31321069464181068355415209323405389541706979493156189716729115659<65> * [8732297044...<440>] * [5105204900...<635>] * [3811920731...<3563>] * [9090909091...<36400>] (0.86%)
10^41394+1 = 1000000000...<41395> = 101 * 9901 * 2038213239961<13> * 22523976484421<14> * [2156671218...<13771>] * [1009998990...<27593>] (0.08%)
10^41395+1 = 1000000000...<41396> = 11 * 103 * 4013 * 9091 * 87211 * 248371 * 1842809 * 68550121 * 787223761 * 1050493091<10> * 21993833369<11> * 58774642051<11> * 13097104125811<14> * 1911074033149222157<19> * 349747823810562628361<21> * 46031771059124302914419<23> * 85229865075272144409552011<26> * 15429532319091493805830664263<29> * 160220794821014452066741918303580917664386555934641<51> * [1071690314...<458>] * [3889330485...<1891>] * [6385021802...<7696>] * [3660250190...<31099>] (0.61%)
10^41396+1 = 1000000000...<41397> = 73 * 137 * 9433 * 82793 * 259121 * 73921249 * 83572468886561<14> * 5220170227...<299> * [1268362829...<503>] * [1207952363...<40556>] (0.82%)
10^41397+1 = 1000000000...<41398> = 7 * 11 * 13 * 8031019 * 46199053 * 67513456567<11> * [2914633134...<13780>] * [1368320880...<27590>] (0.07%)
10^41398+1 = 1000000000...<41399> = 29 * 101 * 281 * 59141 * 4258081 * 121499449 * 476088829 * 2429837869<10> * 99394942081<11> * 1430837193349<13> * 6035193134691029<16> * 477729679540029740221<21> * [4972082344...<5850>] * [1683704668...<35446>] (0.25%)
10^41399+1 = 1000000000...<41400> = 11 * 15366894811<11> * 17086360877<11> * 40329249841<11> * [8585220971...<41367>] (0.08%)
10^41400+1 = 1000000000...<41401> = 17 * 3313 * 8929 * 14401 * 21601 * 55201 * 121441 * 176641 * 309121 * 2263201 * 4970209 * 5070721 * 5882353 * 13612321 * 1132716961<10> * 2591524801<10> * 11266057249<11> * 24592788001<11> * 29012358241<11> * 30929726596801<14> * 32233075296001<14> * 111418603800481<15> * 231158571841297<15> * 9999999900000001<16> * 45805596709279681<17> * 377122377971176801<18> * 8135219512674788641<19> * 23839779350937685860961<23> * 1608357139893807878893601<25> * 19721061166646717498359681<26> * 159287226231413970347326561<27> * 281259985248437790051014401<27> * 31388506438433752927908678241<29> * 88424835854419406860480471361<29> * 374531874959836692094017219169<30> * 326866013321545141677800244941441<33> * 203939065707819971348847334277829768072001<42> * 3475700719926956233659563848134955052440801<43> * 111994624258035614290513943330720125433979169<45> * 2582785559040998185916696136639544586696154922477921<52> * 22651858853653655359251914860948647902217772389947313979551649<62> * 120553054891405588545727822543281066162803459003848166118314367809<66> * 116990301476747139063183899107829995503054414640437569739696739532637081068627241615756780789663364521811201<108> * 829510285658710111215121966308351445187741335558528775675039806142270659943202818322753067885238020768017585089<111> * 387178872244935905889772080780710293688045544881430361754684573270941224160164698232378629400751141017399632124896823872033355066626985720481<141> * [4998814505...<217>] * [1521240334...<266>] * [2151163818...<619>] * 1240446743...<943> * [1305775637...<1039>] * [8682695517...<1361>] * [1000000000...<3521>] * [3114781452...<4150>] * [2587937878...<7016>] * [9999999999...<21120>] (5.06%)