10^3501+1 = 1000000000...<3502> = 7 * 11 * 13 * 19 * 52579 * 77023 * 110477 * 126037 * 97390819 * 4226789205201169<16> * 147351852638675482771921<24> * 103533783890209685970000728437<30> * 20869977631748901447120178621975588066249<41> * 2675825931...<320> * [1098901098...<777>] * [2419384507...<2266>] (13.13%)
10^3502+1 = 1000000000...<3503> = 101 * 315181 * 801341 * 28559389 * 1491383821<10> * 5381698501<10> * 29286597879221<14> * 2324557465671829<16> * 3297955000106980601967870995299781<34> * 33670587927455442579575167786879669<35> * 95000575486937988681435170477136054984821<41> * 13189107332310223355029963340219071854700685799054091470161603102678459019911637791726472505162050327675229109<110> * [1805499013...<3216>] (8.19%)
10^3503+1 = 1000000000...<3504> = 11 * 4973 * 4426889 * 909090909090909090909090909091<30> * 412943108813978385999641617982242667485519119709940711942693553709517240114281629255685010553886849303<102> * [1099999999...<3361>] (4.08%)
10^3504+1 = 1000000000...<3505> = 97 * 353 * 449 * 641 * 1409 * 49057 * 69857 * 133153 * 206209 * 819937 * 66554101249<11> * 75118313082913<14> * [7510157488...<1147>] * [2486099632...<2294>] (1.82%)
10^3505+1 = 1000000000...<3506> = 11 * 9091 * 65598179 * 1357962046159139<16> * 8369769456664849705148248771<28> * 3564169951308862129599840931801<31> * 103159179600110769853091764027081<33> * [1219310752...<650>] * [2991727669...<2738>] (3.38%)
10^3506+1 = 1000000000...<3507> = 101 * 150623584475729<15> * 2453381111743259961001<22> * [2679295596...<3469>] (1.07%)
10^3507+1 = 1000000000...<3508> = 7^2 * 11 * 13 * 127 * 2339 * 2689 * 459691 * 909091 * 14273491 * 63716179 * 141640717 * 489962971 * 107154371983<12> * 116011189311149998139<21> * 272828068791212993437<21> * 4551304599799744355996136613<28> * 126704792115915243487090399078129<33> * 33736555109868187392351962045477697902508313099<47> * 3991682749552894902673962957124418797917278009299<49> * 301525294918950432087520298129941558711551656822567015411<57> * 14950128044255312629457887411604300692966728690551568705030373<62> * 1673231604783581202191614925998671476588050450668542153487963678394246910368200811178749492637589352276800487227374454734584105258179583258226198219279441096528046762469147380935906915618783308520809<199> * [4702864001...<993>] * [7250480912...<1936>] (16.49%)
10^3508+1 = 1000000000...<3509> = 73 * 137 * 3234377 * [3091476380...<3498>] (0.30%)
10^3509+1 = 1000000000...<3510> = 11^3 * 23 * 59 * 1277 * 4093 * 4357 * 7019 * 8779 * 25169 * 357281 * 1485397 * 6749729933<10> * 49561573447<11> * 102502981431359171598893<24> * 154083204930662557781201849<27> * 2742795600081134336392013343677<31> * 776277205967881079419436133930781972785940099183<48> * 544471001372579296332291652675646774644208265246405598834086237345292487<72> * 6266570745...<213> * [7695643079...<3036>] (13.48%)
10^3510+1 = 1000000000...<3511> = 61 * 101 * 109 * 181 * 521 * 541 * 2341 * 3121 * 3541 * 9901 * 19501 * 25741 * 27961 * 153469 * 329941 * 2311921 * 4188901 * 39526741 * 49229101 * 68189581 * 12409583941<11> * 25221743821<11> * 257764562641<12> * 999999000001<12> * 6253963297921<13> * 53397071018461<14> * 6586114851320941<16> * 201721695849323521<18> * 1031498834064949381<19> * 9160020509281917601<19> * 12763852652999774041<20> * 1900381976777332243781<22> * 4999437541453012143121<22> * 11761957262582764997761<23> * 12119730504567977254081<23> * 13029637224192121671301<23> * 1105097795002994798105101<25> * 1242247506458774245772941<25> * 17966814247263669702396301<26> * 2685647186330706081032050321<28> * 59779577156334533866654838281<29> * 2737820036624672031089487008281<31> * 6060517860310398033985611921721<31> * 2243751933881016388445909960981341<34> * 117609798518967483441609863271124249<36> * 1005585052940350795358144502613051321<37> * 141849229571534821256183437819902857798933927761<48> * 722385356046094043901164020994302748085851637026401<51> * 902957305935680526667861848839993076071896366838581<51> * 115284867007350163446080337858601272900571486836544519515961<60> * 14162999157973809346330858715610116834650947071716927166725815643512203761<74> * 722898512786203801042951920020842806081459364277150501545096737658329011666631945714409<87> * 54416219768345058780693800256182138078138198676424989328564702046179663087831396313663972761<92> * 17500153473843835643659270355470657205090174411982714039596980290556087603273388378126638862157661<98> * 5079495579723432319621678978929964288239811089559792771902026347847052045974589789689510566583363222227476422184866358777723140399455362404844998395782154536625441423665548362311949806841<187> * 1000000000...<433> * [2206974124...<829>] * [8057482102...<854>] (52.07%)
10^3511+1 = 1000000000...<3512> = 11 * 283348395018893878476537518650454921<36> * [3208385595...<3475>] (1.04%)
10^3512+1 = 1000000000...<3513> = 17 * 5882353 * [9999999900...<3504>] (0.23%)
10^3513+1 = 1000000000...<3514> = 7 * 11 * 13 * 150012127 * 161046583127<12> * 17380212075739<14> * 1239947580152748784428929<25> * 49299730037908119786764739353618327<35> * 1277793770824393367115298917352334092381609<43> * [7226818817...<1058>] * [4214801901...<2319>] (3.89%)
10^3514+1 = 1000000000...<3515> = 29 * 101 * 281 * 35141 * 162649 * 13739741 * 50362649 * 117412781 * 121499449 * 877561261 * 7787188843931699008561<22> * 59084034101806249573177345121188082021<38> * 2158935103...<452> * [2470382045...<2948>] (16.12%)
10^3515+1 = 1000000000...<3516> = 11 * 7253 * 9091 * 1494374131<10> * 1812604116731<13> * 121450506296081<15> * 422650073734453<15> * 1259003348274263<16> * 19054214531558771<17> * 49173925574833481<17> * 296557347313446299<18> * 909090909090909091<18> * 924568230839637281<18> * 147670347895842655770227813<27> * 4996731930447843676185843959746621491531100801<46> * 22369355044392829576198363935261212146051995578845131526611800779453430519897692892453842577603840415445414697342892679968594131<128> * [3105141899...<591>] * [6579809959...<2565>] (10.23%)
10^3516+1 = 1000000000...<3517> = 73 * 137 * 4570801 * 99990001 * 192426418609<12> * 2415893070703657<16> * 1215765873465317761513<22> * 64320904809064675185577<23> * [4138842162...<1153>] * 1454066680...<2275> (67.22%)
10^3517+1 = 1000000000...<3518> = 11 * 10951939 * 53995306908572171299<20> * [1537305866...<3490>] (0.79%)
10^3518+1 = 1000000000...<3519> = 101 * 733741485221<12> * 9604247650801<13> * [1404986663...<3492>] (0.76%)
10^3519+1 = 1000000000...<3520> = 7 * 11 * 13 * 19 * 47 * 103 * 139 * 2531 * 4013 * 31051 * 52579 * 98533 * 2142001 * 2955961 * 5364487 * 832339891 * 2140571729<10> * 21993833369<11> * 37633218241<11> * 37916801893<11> * 276402747619<12> * 291078844423<12> * 837042695779<12> * 2405782797823<13> * 9101279023169<13> * 143574021480139<15> * 549797184491917<15> * 143409436964525899<18> * 377526955309799110357<21> * 831759677425747570837717<24> * 24649445347649059192745899<26> * 5718695187661520881538869249<28> * 117680633072620952134930832292859<33> * 473608692432035450677211738101499095303<39> * 1880709802856952955373413305337158032187793270681<49> * 157393477257579000092993572752789683416120273639369<51> * 1071693871...<275> * [1901064414...<665>] * [1013874539...<2108>] (21.25%)
10^3520+1 = 1000000000...<3521> = 689921 * 1232801153<10> * 1265011073<10> * 12307853586689<14> * 46258294475009<14> * 1462030873384577<16> * 4639431671776001<16> * 731072868890777374721<21> * 15343168188889137818369<23> * 194934211307525421500033<24> * 515217525265213267447869906815873<33> * 106110538711611081989682173453117312268289<42> * 15426023502522488030607387700105870831428809697868716409941105675494726401<74> * 648255203187314216731294348378302257298640011105497984364836891560544273730965869701275128505192385103313045785608085474749131564988961668305646333125115974331391224959722001218233601<183> * [6828613585...<519>] * [2948319535...<2524>] (13.57%)
10^3521+1 = 1000000000...<3522> = 11 * 909091 * 61843956637<11> * 3809219348750152905322992823979<31> * [9090909090...<502>] * [4669381874...<2971>] (1.37%)
10^3522+1 = 1000000000...<3523> = 101 * 9901 * 35221 * 2068589 * 11239910909146629966481<23> * 3723363207127175182828729<25> * 645114231377754247116430561<27> * 56360262697642563914567399981<29> * [1171202295...<1089>] * [7701651346...<2315>] (3.38%)
10^3523+1 = 1000000000...<3524> = 11 * 859 * 3253 * 21139 * 422761 * 2825447 * 1058313049<10> * 244838473543<12> * 358980373668354794357<21> * 85136092202328709742186299<26> * 13631530938380353975492092299<29> * 256031814642414583920091086688834271205176259587307504943<57> * 80072738860992416363006630180480205233270947285561349320187586148230645206844076936593016233492608684386014640420902971076925333121186484088558037848433079987468965872130196785578571<182> * [5821864379...<3166>] (10.14%)
10^3524+1 = 1000000000...<3525> = 73 * 137 * 999472302514297<15> * 10947062842421249<17> * [9138779485...<3489>] (0.99%)
10^3525+1 = 1000000000...<3526> = 7 * 11 * 13 * 211 * 241 * 251 * 2161 * 5051 * 5641 * 6299 * 9091 * 20681 * 28201 * 344887 * 9127213 * 21997411 * 280850851 * 2033255251<10> * 78875943472201<14> * 4855067598095567<16> * 454874791028830201<18> * 1160803383934463712259<22> * 297262705009139006771611927<27> * 44174683273406320528355293250333371411<38> * 10000099999999989999899999000000000100001<41> * 30073566270559048948142559741512708796590524703892560552659<59> * 4286364887150220673583225059177107721806065475972215552125258086068959357115762795701840175683004019170941959169708082929486830943679876008361716880663960188314299305481<169> * 2060024051...<331> * [1751203821...<903>] * [7795415700...<1818>] (22.83%)
10^3526+1 = 1000000000...<3527> = 101 * 68389 * 338669 * 6410269 * 11196851590642146301<20> * 4608158402387156248919515491038699029<37> * 1447745997018511893740076606031686237538345362413531560645573104006506749609<76> * 2923500556298303355222653948542706598448925085853709961673200056984872843366529<79> * [3053667859...<3298>] (6.48%)
10^3527+1 = 1000000000...<3528> = 11 * 91703 * 41667979 * 248674663 * 617217274449871908991558503841<30> * [1550071474...<3476>] (1.47%)
10^3528+1 = 1000000000...<3529> = 17 * 113 * 337 * 7057 * 8929 * 54881 * 5882353 * 90982417 * 9999999900000001<16> * 145329655527433441<18> * 243827582384762881<18> * 73765755896403138401<20> * 403539336813078648113<21> * 119968369144846370226083377<27> * 2070270028985341766616009080161<31> * 6026493503971642113374043042529<31> * 1114737869182936469693737960974486017089<40> * 111994624258035614290513943330720125433979169<45> * 5649333362757164788488040397332687608183771313<46> * 1433319827159466789806966856379479179916136529424792832495021393<64> * 11824792503914776383865492901019100670460517256833712771719617457<65> * 75863646933147015591828268401923986261986397730196168081539267851470929961346053360645853358874777126920177958883875403750336775844271700524766982560221150310256906229475838502330430737<185> * [7992725630...<265>] * 7479886445...<616> * [9750471975...<1995>] (35.94%)
10^3529+1 = 1000000000...<3530> = 11 * [9090909090...<3528>] (0.03%)
10^3530+1 = 1000000000...<3531> = 101 * 3541 * 27961 * 204217561 * 23800919101<11> * 773054919841<12> * 2419621343726981<16> * 207299735842689701<18> * 5042030531487746458381132741<28> * 21338316273679290153986091349<29> * 6002167762...<664> * [2297394797...<1330>] * [3576409999...<1408>] (22.47%)
10^3531+1 = 1000000000...<3532> = 7 * 11^2 * 13 * 23 * 1499 * 4093 * 8779 * 28463 * 74687 * 392263 * 795653 * 7569823 * 199395571 * 599144041 * 183411838171<12> * 2366998879807<13> * 1741854737919253<16> * 10619294406301548378379<23> * 899788378170104270110161037<27> * 7636620705299543527878416489503<31> * 9140689231828972552925524522037823147045937571379494322686226282352288670801988451<82> * 6816076420889383530061928052932135771677823056533405853711387425758295002889889651952292014505658492373383206329623842705963383073925056196658386867709651975318465023<166> * [6315107546...<1045>] * [5627674923...<2059>] (12.11%)
10^3532+1 = 1000000000...<3533> = 73 * 137 * 21193 * 204857 * 589567882075402057<18> * 102430611775548799993<21> * [3813728243...<3481>] (1.46%)
10^3533+1 = 1000000000...<3534> = 11 * 42397 * [2144234047...<3528>] (0.16%)
10^3534+1 = 1000000000...<3535> = 101 * 229 * 2281 * 4789 * 5209 * 7069 * 9901 * 42409 * 2049349 * 304077901 * 5411126509<10> * 78639698881<11> * 52875286008709<14> * 722817036322379041<18> * 739653893349540289<18> * 1369778187490592461<19> * 33950736420661075851541<23> * 139716865184144864008269344660199946429<39> * 483128549554512237305554588359039822397307149685578249<54> * 1387770812537486172424567765413032718466560432631753219117445147282909788805041<79> * [1866524462...<1071>] * [4199728399...<2141>] (9.14%)
10^3535+1 = 1000000000...<3536> = 11 * 607 * 809 * 1213 * 9091 * 909091 * 4147571 * 178241771 * 1327067281<10> * 16278717101851<14> * 1011343309515211<16> * 265212793249617641<18> * 10013779702381498531<20> * 11500490394117824585468796003575163076836624586334794818271756072956027758946488969<83> * 6093716070...<358> * [6757288569...<587>] * [9091000909...<2400>] (15.51%)
10^3536+1 = 1000000000...<3537> = 353 * 449 * 641 * 1409 * 69857 * 1364897 * 19725473 * 58627969 * 102918817 * 1581398209<10> * 40336502753<11> * 60988029857<11> * 754651871841089<15> * 49190086416352961<17> * 648350377746145860356897<24> * 8274466617334672110426476083265843201<37> * 32834183607181658456698862190332942753904274373750127864196636481293558631166688587638325415670849<98> * 627810998673389218825263319860513240289438361646700648804034810302457438784160932972184864281054744807682885907521<114> * 33857126287532892390194544682750180705056727269149496594755320455272870740814407021435721731880166393643173336787745221520888878951616858121601<143> * [1138438882...<3015>] (14.76%)
10^3537+1 = 1000000000...<3538> = 7 * 11 * 13 * 19 * 263 * 52579 * 70541929 * 78447517 * 1397382241<10> * 1731991087<10> * 2399158891<10> * 14175966169<11> * 306662501757259<15> * 525786373041914526306757<24> * 112506283680098168752627601991569<33> * 292987356406918272425934690293373859<36> * 1363608083180796048411168783196497071688492468691<49> * 22470645744200057762885095342697894721605325430609487291715500041029950763944163993319007373686738769124162721892380653<119> * 62339577231074552025417800627219902399609765276523884060897664718644575416179222125766565878683978340565955467874226181636354165574411<134> * [1424053109...<736>] * [5773701773...<2331>] (13.32%)
10^3538+1 = 1000000000...<3539> = 101 * 349 * 38861 * 618049 * 1587221 * 81183810541<11> * 13755975398701009<17> * 101444162656037151745878558385892753596849<42> * 11811806375201836408679635736258669583187541<44> * 75743388768260974116327848920184337528059461788181539337429709<62> * [7342263785...<3344>] (5.49%)
10^3539+1 = 1000000000...<3540> = 11 * 2909059 * 199005323699648705453<21> * [1570326973...<3512>] (0.79%)
10^3540+1 = 1000000000...<3541> = 73 * 137 * 4721 * 1676321 * 22868401 * 99990001 * 395026241 * 1989168481<10> * 5964848081<10> * 1466587732801<13> * 6218964172073<13> * 13066260149017<14> * 3410758635375200561<19> * 100009999999899989999000000010001<33> * 32394937980403032343941480318880086318307142570248235727782772042697<68> * 36837015057313006096634536795587748230336921494253255771361450341226561526611901358724245001042863132758337028749847212746321<125> * [3347004740...<444>] * [2118407117...<925>] * [3427495991...<1835>] (9.54%)
10^3541+1 = 1000000000...<3542> = 11 * 1698933436807<13> * 70139947146967<14> * [7628963143...<3514>] (0.77%)
10^3542+1 = 1000000000...<3543> = 29 * 89 * 101 * 281 * 1289 * 121499449 * 313537841 * 1052788969<10> * 1056689261<10> * 39511854229<11> * 18371524594609<14> * 2959578749255129<16> * 216613430183025989<18> * 4181003300071669867932658901<28> * 12618302246788689711565695281<29> * 347971233623173508760644113421<30> * 69691163546816853278309618463969524441<38> * 1009805096139614383066323378818605356821967673241<49> * 25561948931738399180959860493035633005346674997219855227412314112685523898853595360610683149167147379131162769<110> * 4617409966317766554788668533405686826442194090910823947914436635807133747667659259397151418066265041582929284878893879005928553193826692398321349887540466176358283350940672581933619840253537612607049<199> * [1148531028...<375>] * [3066305483...<2587>] (16.42%)
10^3543+1 = 1000000000...<3544> = 7 * 11 * 13 * 151169 * 5548339 * 307830013 * 19794925237<11> * 8868361962634050748226129053<28> * [1953590856...<1167>] * [1128231816...<2316>] (1.74%)
10^3544+1 = 1000000000...<3545> = 17 * 141761 * 5882353 * [7054126240...<3531>] (0.37%)
10^3545+1 = 1000000000...<3546> = 11 * 9091 * 104933 * 3175525921<10> * 568771060529228349938490987697721<33> * 7955783278516936542385696005567573491557<40> * [1088960887...<664>] * [6090250961...<2790>] (2.60%)
10^3546+1 = 1000000000...<3547> = 101 * 9901 * 27581 * 70921 * 30566521 * 90876889 * 999999000001<12> * 114331013861789449<18> * 57757234955479108279003493865169<32> * 39183683903547299202471125940449908897423309<44> * 95857172574244109092139928579854506165297073472804809<53> * 9557377469...<291> * [1748696922...<753>] * 4439786295...<2315> (78.79%)
10^3547+1 = 1000000000...<3548> = 11 * 1042819 * [8717628937...<3540>] (0.20%)
10^3548+1 = 1000000000...<3549> = 73 * 137 * 25415579993<11> * 566023591633649<15> * [6950595502...<3519>] (0.82%)
10^3549+1 = 1000000000...<3550> = 7^2 * 11 * 13^3 * 127 * 157 * 677 * 859 * 2689 * 6397 * 102103 * 216451 * 397489 * 459691 * 909091 * 21705503 * 987001237 * 1058313049<10> * 15762546853<11> * 388847808493<12> * 2107989241846489<16> * 112389066692347771<18> * 31740864418372643899<20> * 309589156691199312383<21> * 766107795145265155907689<24> * 1592730232155679902273246343099578009020762979379345291<55> * 50678387411703889101759125785290439894389920385627096501794498837<65> * 939618179300167110691422839525295363729230399945945616908880764779647712170590547747265739<90> * 8912569571903773640423787742857701624820835919699625957033503601168338923351027082278688276455237261214743926133405384757726021771250608797<139> * [4342163700...<284>] * [1017643138...<897>] * [1557817628...<1828>] (15.28%)
10^3550+1 = 1000000000...<3551> = 101 * 569 * 3541 * 7669 * 27961 * 60101 * 63901 * 99401 * 2006461 * 5729701 * 7019801 * 4111829184101<13> * 14103673319201<14> * 170634600621101<15> * 1680588011350901<16> * 20533777006499101<17> * 380623849488714809<18> * 14924204414727221148901<23> * 3988107351414007354990781<25> * 9986944549901581065584141<25> * 7716926518833508778689508504941<31> * 93611382287513950329431625811490669<35> * 82519882659061966708762483486719446639288430446081<50> * 101956533794009284800765131459172391943780858147641273764890861<63> * 150068993718936038588227244574366404285884513639444374982663085901463237698274075317154251769989823397761<105> * 116495874280884673334565220763619375132221284480428122405410464628568322672119325732998544902138818624402961<108> * 247950328172294050136754481538951409190364075674960071233394038784474817867352415168199452660754962688866321901<111> * 2859630412262063113306113917115997858472576398852137020764976735223032322249367509354347188018143953920730046934752405241<121> * [2202508012...<1333>] * [5802163202...<1386>] (23.43%)
10^3551+1 = 1000000000...<3552> = 11 * 7103 * 28409 * 7326715501881554557<19> * 9090909090909090909090909090909090909090909090909091<52> * 909090909090909090909090909090909090909090909090909090909090909091<66> * [7440216885...<3405>] (4.12%)
10^3552+1 = 1000000000...<3553> = 193 * 769 * 19841 * 21313 * 976193 * 4205569 * 6187457 * 1413262657<10> * 834427406578561<15> * 1253224535459902849<19> * 53763491189967221358575546107279034709697<41> * [4691972035...<1148>] * [1682489465...<2289>] (3.27%)
10^3553+1 = 1000000000...<3554> = 11^2 * 23 * 103 * 419 * 647 * 4013 * 4093 * 8779 * 85691 * 108529 * 192611 * 258743 * 738379 * 21993833369<11> * 367709676797<12> * 1284680342573<13> * 1644353478367<13> * 909090909090909091<18> * 6315203673292075607<19> * 125797399492676917721<21> * 1078893279821424911891<22> * 298705372736554351789156294144090138390916509553983003911433879637774413<72> * 55957395872359820769658435528889482277826574998014018514928782197341726428854387236670658714503098749571<104> * 118406308604014738032986880393983553483698736486523737091214336891111037216663569858459578047055026965068496734007753047724699784687389349031013172664108401383134457213<168> * 40035620418199159948776350763252140477472791476548845372200559635028684381015278952822428460800436345936412694554672982482829838608416302164821877697601124434554975414863<170> * [2472306187...<2869>] (19.27%)
10^3554+1 = 1000000000...<3555> = 101 * 7109 * 226594333233101<15> * [6146403498...<3534>] (0.57%)
10^3555+1 = 1000000000...<3556> = 7 * 11 * 13 * 19 * 211 * 241 * 1423 * 2161 * 2371 * 6637 * 9091 * 29611 * 52579 * 132247 * 3762091 * 273943561 * 9615060929<10> * 68469918571<11> * 207598320361<12> * 8985695684401<13> * 55702478402281<14> * 6295632499623851<16> * 202614141105037948508002771<27> * 4539787279569136988691351491<28> * 24966203549341539495819194854679625225811<41> * 36135553580039597739744803188558136917651907171<47> * 66443174541490579097997510158021076958392938976011506949065646573<65> * 1251990291329257796002278912741887225923362508309806834359341444948291275981327174223618327402150792085738318266379138644493775947105115101637978649<148> * 42660530392229903351072436102344244250617560023502875336329183331096805000157530395542396500243031769146588091361465456452731316179986315200680926557940585563325081869311166989363491<182> * 2624579587...<444> * [6914859041...<586>] * [4812182479...<1861>] (31.18%)
10^3556+1 = 1000000000...<3557> = 73 * 137 * 7841 * 3921761 * 1872810073<10> * 3988541681<10> * 4439424760961<13> * 127522001020150503761<21> * 764515044486144085977569<24> * 2575212027850692464577982171078840918884244921649<49> * [3246850456...<416>] * [1202881901...<3003>] (3.89%)
10^3557+1 = 1000000000...<3558> = 11 * 85369 * 144108299 * 7456882395048999127<19> * 2879000619302994331443882263<28> * [3442065074...<3497>] (1.70%)
10^3558+1 = 1000000000...<3559> = 101 * 9901 * 56929 * 71161 * 9414469 * 136365423709<12> * 130737139096358944139229305329<30> * [7260630906...<1173>] * [2025585292...<2323>] (1.77%)
10^3559+1 = 1000000000...<3560> = 11 * 2979351862383216571<19> * 23250077607082026655117<23> * 32860552577849165924067651223<29> * 93606245741965473665134054924388953019<38> * [4266595017...<3451>] (3.04%)
10^3560+1 = 1000000000...<3561> = 17 * 4273 * 5070721 * 5882353 * 6440153921<10> * 53248647313<11> * 4760490821069353439521<22> * 1941756034624452230147681<25> * 19721061166646717498359681<26> * [2263413279...<666>] * [3261760168...<2785>] (3.09%)
10^3561+1 = 1000000000...<3562> = 7 * 11 * 13 * 123449 * 5868529 * 821942899 * 12320339092169<14> * 31115217067878007<17> * 46885831546151390072263681<26> * [1920986188...<1152>] * [4858990857...<2331>] (2.22%)
10^3562+1 = 1000000000...<3563> = 101 * 521 * 14249 * 718606649 * 40160350429<11> * 14748519737381<14> * 18442559739217861001<20> * 1900381976777332243781<22> * 11621897163409200201223887528138662702903389700229845471814520224606678003269<77> * 1651732052430074361873884440693609861769561877782463897348222686035759826875067120033981<88> * 178720049686128661890023146702383771619725932844782734965468342419910154928823674286045929<90> * [2605957656...<3228>] (9.39%)
10^3563+1 = 1000000000...<3564> = 11 * 1019 * 7127 * 909091 * 859970113309521700529<21> * [1251775283...<502>] * [1279114091...<3028>] (0.98%)
10^3564+1 = 1000000000...<3565> = 73 * 137 * 617 * 2377 * 3169 * 16369 * 98641 * 432961 * 761113 * 15082849 * 68562937 * 99990001 * 108576073 * 6796152793<10> * 24387741577<11> * 99677548081<11> * 231227822233<12> * 440718109921<12> * 3199044596370769<16> * 126197002179733470481<21> * 100855373899031802136153<24> * 283830826522232279893972777<27> * 4987445373502665124237014313<28> * 1726290008991504500177463302688697<34> * 16205834846012967584927082656402106953<38> * 579276943498154282123686999881829009033<39> * 43599922525432064821850834951727679807657<41> * 7408727338313716781446937691661250885891761<43> * 246288943607463575049631057704872789315648893038409344335438892115177<69> * 3286441734725167632640591449151190304019453738946987847768004461574472857<73> * 334522142365084475733005788763069665597428914843872461953834690104120914487934715334187622132844561179868971005307865589696093471675431176480908194696635755950657968289<168> * [9210132328...<712>] * [2843004087...<2119>] (20.58%)
10^3565+1 = 1000000000...<3566> = 11 * 47 * 139 * 691 * 2531 * 9091 * 11161 * 3925963357681<13> * 549797184491917<15> * 5167617497664851<16> * 332840655773149451<18> * 909090909090909090909090909091<30> * 15918798843849477568899983937931966555877132981347465830696251648192619376266439940521<86> * 4857900688365130469291831549890842547443917376935406225054646143856579892970236911030721<88> * 1099999999...<661> * [2731337005...<2623>] (26.44%)
10^3566+1 = 1000000000...<3567> = 101 * 64189 * 16903592889581<14> * [9125128561...<3546>] (0.56%)
10^3567+1 = 1000000000...<3568> = 7 * 11 * 13 * 59 * 739 * 49939 * 148339 * 2796529 * 16419517 * 48422645659<11> * 638453709757<12> * 135080726389891<15> * 2670502781396266997<19> * 3404193829806058997303<22> * 154083204930662557781201849<27> * 1274194732898148471766404179653<31> * 61051796035522969271171274876554178504544683763248923853725596423<65> * [1099999999...<1121>] * [1345654937...<2219>] (6.42%)
10^3568+1 = 1000000000...<3569> = 353 * 449 * 641 * 1409 * 69857 * [9999999999...<3552>] (0.45%)
10^3569+1 = 1000000000...<3570> = 11 * 167 * 997 * 3565183 * 57009401 * 2097307081<10> * 2182600451<10> * 1592269090537921<16> * 618104978087360209<18> * 7742098247001476863<19> * 7306116556571817748755241<25> * 68928979597969697889497743<26> * 943176903141330068482602900960294299878841<42> * [1621481992...<3386>] (5.15%)
10^3570+1 = 1000000000...<3571> = 29 * 61 * 101 * 281 * 409 * 421 * 1021 * 1429 * 2381 * 3061 * 3541 * 8161 * 9901 * 26861 * 27961 * 226549 * 855781 * 2586721 * 3471301 * 4188901 * 5969449 * 7447021 * 13489841 * 28559389 * 39526741 * 121499449 * 134703241 * 898827469 * 1384194841<10> * 1491383821<10> * 2173323181<10> * 42681134161<11> * 60368344121<11> * 424451728681<12> * 5071197096181<13> * 7568346838961<13> * 225974065503889<15> * 275855329893529<15> * 2324557465671829<16> * 4458192223320340849<19> * 237612993541791006121<21> * 848654483879497562821<21> * 20087794479102305428621<23> * 139790941013628227711346421<27> * 44398000479007997569751764249<29> * 404602135933329343086464130521<30> * 1988731184935761442996825520561<31> * 40782806334630814872615787099213154501<38> * 154171650837800469380227217503464603601<39> * 282448028612066894256984424869264385801<39> * 367930760082958500279863903792746265701<39> * 677827125083342723075551469213357648491441<42> * 114797635898427958794033542315180663747542680841<48> * 702606961290758209596508239010415070912788739581<48> * 55722909386297024938297392343519300689842174503366122181<56> * 1051361091529803074497312148085134194834726090632313891925201<61> * 3486475319440674008607957277969304463510523376893744438151274361<64> * 5582637833682557709253612812885341475900082138954691763178176941<64> * 390165385837451805986633040667495640526336339013830593297226360344237401<72> * 13712255219708533473813623053189821987961076229175414555827926545777661379291311684923609<89> * 1231618227...<292> * [5725675041...<297>] * [2095098267...<334>] * [1659050888...<731>] * [5302420071...<761>] (40.59%)
10^3571+1 = 1000000000...<3572> = 11 * 11141521 * [8159486564...<3563>] (0.23%)
10^3572+1 = 1000000000...<3573> = 73 * 137 * 457 * 21433 * 70313 * 79337 * 485041 * 1403417 * 118710721 * 6578404633<10> * 5240808656722481737<19> * 169905327561162104198557246291921<33> * 297478330786365628414805305290302483555043017<45> * 27851538931791182813585932285490596820623900747164894668499167046712090201879423948069199442816537475115348268729799177<119> * [4666168991...<3308>] (7.40%)
10^3573+1 = 1000000000...<3574> = 7 * 11 * 13 * 19 * 2383 * 52579 * 15149521 * 16790376230301757<17> * 3573945994...<373> * [4611418795...<789>] * [1000999998...<2377>] (11.43%)
10^3574+1 = 1000000000...<3575> = 101 * 11095911881<11> * 389975765657533256458123336374529<33> * [2288115840...<3530>] (1.25%)
10^3575+1 = 1000000000...<3576> = 11^2 * 23 * 131 * 251 * 331 * 859 * 4093 * 5051 * 5171 * 8779 * 9091 * 51767 * 107251 * 4271801 * 708433441 * 1058313049<10> * 20163494891<11> * 22144088539<11> * 82009322851<11> * 264752347289<12> * 1501539197401<13> * 78875943472201<14> * 172811833930451<15> * 399009067335451<15> * 146582316035503921<18> * 47501957293929188051<20> * 104730101107272149081<21> * 318942474614140390001<21> * 318727841165674579776721<24> * 82419252546478457878215964924871918728196281<44> * 8396862596258693901610602298557167100076327481<46> * 1491273678477173069027664948012233844398077028447940172193498801<64> * 34607524609209512562213651270561528862879196390936320471942325254862879783<74> * 515598058349426893425512324539506997710608203280700351680904729473604464893512426851<84> * 161847174130095792603719453986817709414463817113867945281985819338290952731757643195331250705338664714884091786251<114> * 44659135987047270733848138282609193992779311307114487270946545676364972087041313965550458035508373749740227131627209038723801<125> * [1062190354...<411>] * [3053007759...<2352>] (22.75%)
10^3576+1 = 1000000000...<3577> = 17 * 5882353 * 9999999900000001<16> * 20592787827762673<17> * 237174616084892263633<21> * [4856069019...<1168>] * [4216302851...<2348>] (1.70%)
10^3577+1 = 1000000000...<3578> = 11 * 197 * 293 * 593783 * 909091 * 205749041 * 26590801410852159251<20> * 10826684964539959837294043117<29> * 5076141624365532994918781726395939035533<40> * 286578888976194997999922592330908602103011<42> * [1099999890...<433>] * [3078243971...<2991>] (4.32%)
10^3578+1 = 1000000000...<3579> = 101 * 83029387542457763671109<23> * 899841244524838039519341164701<30> * 22550781594138986116811519523237889<35> * [5876507539...<3489>] (2.49%)
10^3579+1 = 1000000000...<3580> = 7 * 11 * 13 * 59651 * 1431601 * 53979914146049857432194823<26> * 198967330445464802733582366889<30> * [1418977874...<1133>] * [7676029137...<2378>] (1.93%)
10^3580+1 = 1000000000...<3581> = 73 * 137 * 1433 * 4297 * 18617 * 1676321 * 84817361 * 5964848081<10> * 406144240961<12> * 1993140208113361<16> * 47128669931249236491294721249<29> * 1397282134739140428201846135257<31> * 328455338742918658426662807087083993<36> * 2385432373...<584> * [2462425658...<2837>] (20.77%)
10^3581+1 = 1000000000...<3582> = 11 * 28649 * 18888937761357806820762457481<29> * [1679926619...<3548>] (0.94%)
10^3582+1 = 1000000000...<3583> = 101 * 2389 * 9901 * 121789 * 1279969 * 397407583369<12> * 999999000001<12> * 25674440737861<14> * 581140178513809<15> * 5752470979695693665221<22> * 925577984333379994048249<24> * 115855392589030838340432361<27> * 30839997133023404987314306863618048001<38> * 25318162873760593102299508147845874260505144789<47> * [6729232509...<335>] * [3587261933...<657>] * [3894928073...<2363>] (6.37%)
10^3583+1 = 1000000000...<3584> = 11 * 21499 * 793147213 * 206381338285640839571<21> * 2744661678505062479550954656329<31> * [9411871944...<3518>] (1.81%)
10^3584+1 = 1000000000...<3585> = 1514497 * 302078977 * 7848960001<10> * 3611707318387778163302401<25> * 51810901375163618947402753<26> * 73984629073807239048662017<26> * [6051994595...<473>] * [3323726160...<3011>] (2.81%)
10^3585+1 = 1000000000...<3586> = 7 * 11 * 13 * 211 * 241 * 2161 * 9091 * 29116975651<11> * 11087489781858211<17> * 508399838327574001<18> * 41936734765001789369401<23> * 234505087651868812230401<24> * 165364337971283147246398748401<30> * 2846390188891241030645451773087716881978563746547069042984813032147999326242449<79> * 6282138071505210318841228543562283508437569619884438177000652801796615935488955777747431198279234592543622766101015393665597896857185313159459<142> * [3774090798...<466>] * 2836574643...<900> * [1957121959...<1866>] (34.98%)
10^3586+1 = 1000000000...<3587> = 89 * 101 * 279709 * 1052788969<10> * 1056689261<10> * 498698470009<12> * 76232914055207003005318654163381<32> * 2604342325...<281> * [3610895609...<3235>] (9.80%)
10^3587+1 = 1000000000...<3588> = 11 * 103 * 4013 * 79394659 * 21993833369<11> * 2764617069785703725933625413<28> * 328830679310453754915155768227495235329261497517806584073599983097585101077717193987768606878995960468762394797684114544714219984484001065567626526501680440465693288035792812855582407<183> * [1385483625...<3353>] (6.55%)
10^3588+1 = 1000000000...<3589> = 73 * 137 * 313 * 1657 * 2393 * 7177 * 1101673 * 1580801 * 99990001 * 1469409649<10> * 1358074433371719716641<22> * 42190902306261210198217<23> * 291593563046646669491593<24> * 38115215074391056784287931569<29> * 1129740770432189548124550695495041<34> * 632527440202150745090622412245443923049201<42> * 7323941687838105624847742701467683590147273<43> * 4178437150016715837818641871709193476807772628503969494400330129962348520684914375257<85> * 1077654773020602154835873595438016994801570811542710006429679112760889048401772560028378495799359646781326368530020399986158679489264953<136> * [1000099999...<1057>] * [2922913822...<2053>] (13.36%)
10^3589+1 = 1000000000...<3590> = 11 * 7253 * 689089 * 861361 * 1420032597653<13> * 8538609438517<13> * 422650073734453<15> * 296557347313446299<18> * 102527361354613106010527<24> * 9619211207725002595434061907819<31> * 33754319406012095808417907357259<32> * 323338434891034089173475790125293<33> * 27422699366054621683295623079471066588881<41> * [4707365112...<3357>] (6.47%)
10^3590+1 = 1000000000...<3591> = 101 * 3541 * 27961 * 64621 * 2563261 * 536436469 * 135497104612841<15> * 137613493826902139993347001<27> * [1845696680...<708>] * [1514547983...<1393>] * [2159139966...<1421>] (1.96%)
10^3591+1 = 1000000000...<3592> = 7^2 * 11 * 13 * 19^2 * 127 * 379 * 2053 * 2689 * 52579 * 459691 * 909091 * 1458973 * 3014047 * 5274739 * 70541929 * 4410785971<10> * 14175966169<11> * 60966262009<11> * 595904172463<12> * 2911579215499<13> * 425991366045253<15> * 13889938587868729<17> * 909090909090909091<18> * 8642670625016390971<19> * 247025236977306025681323889<27> * 307010852070382484317401373<27> * 1512142910568778709935813681<28> * 28821826124280860786408658529<29> * 189772422673235585874485732659<30> * 237496748126669166794404728277<30> * 753201806271328462547977919407<30> * 63060936944326674212591995662102125143<38> * 5444073360171020940740845499007280330687<40> * 61828645758322140842666144519962696417487<41> * 72021403933746126426491665754465510017877<41> * 17499101101496101893247811440257935152097401<44> * 4841193139246416682912992055944726358563520908223<49> * 9284668536078237580134472469990637899155265743957<49> * 6508684267533856834852965580950145565983063793936631379<55> * 13147963643704652632557279758698587212033283223333451187877069162714784603584406816150353817835190742091970171<110> * 9550200998...<273> * 1695279961...<546> * [7199455869...<1928>] (46.31%)
10^3592+1 = 1000000000...<3593> = 17 * 86209 * 237073 * 5882353 * [4892888203...<3574>] (0.51%)
10^3593+1 = 1000000000...<3594> = 11 * 1018169184727<13> * 613325315085682247<18> * [1455782436...<3563>] (0.86%)
10^3594+1 = 1000000000...<3595> = 101 * 9901 * 36443161 * 1263034467469<13> * 81863592749761950613351785233690082041<38> * [1209449740...<1159>] * [2194268140...<2373>] (1.77%)
10^3595+1 = 1000000000...<3596> = 11 * 9091 * 664357 * 5802331 * 17967811 * 199817291 * 15311195574982451<17> * 1024931949017076361<19> * 1034907727782770161<19> * 4767166068882410471277361<25> * 3535844627223287305638044572703<31> * 1936776736...<674> * [1362776467...<2782>] (22.64%)
10^3596+1 = 1000000000...<3597> = 73 * 137 * 233 * 1489 * 7193 * 355193 * 21591416633<11> * 640543322297<12> * 4850148748937<13> * 27908132670449<14> * 384705444182230291105649<24> * 17468739848498438039329935679794457<35> * 320326994163169943384295066992439316655840979654890345228609<60> * 97645954668018846467287180866355758374263120864803042536883990817097<68> * [2866674008...<3344>] (7.02%)
10^3597+1 = 1000000000...<3598> = 7 * 11^2 * 13 * 23 * 4093 * 8779 * 5589739 * 599144041 * 183411838171<12> * 48109430943157<14> * 3338786746233023<16> * 465686388387656309743<21> * 14060959683864286267405933000927102019<38> * 19364383321148719295180578853325741855858987848620134943<56> * 1098901098...<217> * [1099999999...<1081>] * [7266513727...<2119>] (11.07%)
10^3598+1 = 1000000000...<3599> = 29 * 101 * 281 * 21589 * 1147249 * 18565681 * 47083429 * 121499449 * 14933005561<11> * 116930738941<12> * 159706464288589<15> * [4942481101...<485>] * [3351099972...<3039>] (2.08%)
10^3599+1 = 1000000000...<3600> = 11 * 1889 * 81131 * 4318801 * 1090805842068098677837<22> * 4411922770996074109644535362851087<34> * 11205222530116836855321528257890437575145023592596037161<56> * [2547003207...<3474>] (3.49%)
10^3600+1 = 1000000000...<3601> = 97 * 353 * 449 * 641 * 1409 * 4801 * 13249 * 43201 * 69857 * 177601 * 206209 * 316801 * 980801 * 1067329 * 1634881 * 3133441 * 18453761 * 9997257601<10> * 66554101249<11> * 947147262401<12> * 75118313082913<14> * 322751702627738099289601<24> * 3427762485430544075935398346603780801<37> * 349954396040122577928041596214187605761<39> * 1786971871341978412769793172635403245447905376001<49> * 315091637261160879997346594408168422516385623286349240690538356681453806401<75> * 70716147055257711374123575798428608590219877617672752248112085912824160137075376116481<86> * [4915793084...<306>] * [2938875667...<336>] * [3098357008...<617>] * [1000274315...<1911>] (12.01%)