10^4101+1 = 1000000000...<4102> = 7 * 11 * 13 * 2501784060079742341761786602162653<34> * [9090909090...<1366>] * [4392469823...<2699>] (0.89%)
10^4102+1 = 1000000000...<4103> = 29 * 101 * 281 * 121499449 * 71998920504955195737199923877309<32> * 9900990099...<584> * [1402798809...<3473>] (15.35%)
10^4103+1 = 1000000000...<4104> = 11^2 * 23 * 4093 * 8779 * 229769 * 3077251 * 4111207 * 1699807253<10> * 161823323273767<15> * 90060564940204590241091<23> * 31789742592325236493677867077<29> * 216526856157522033346992833381986034131<39> * [1466472307...<283>] * [1375714109...<3679>] (3.48%)
10^4104+1 = 1000000000...<4105> = 17 * 433 * 8929 * 134369 * 5882353 * 31735795756961<14> * 53942224779217<14> * 9999999900000001<16> * 11858989716142473270529<23> * 7865110274657230201779070033<28> * 26937321489140311724240726353<29> * 491413179769291800875985377355914924161<39> * 111994624258035614290513943330720125433979169<45> * 42329002505294251119371713750694841859239120433<47> * 281464188569516450327957421884016074607805300753<48> * 111026658464799772810971884821271839945529173378999198369<57> * 234504682039452385472228601837391217101263308508305719138749905156540866534427238711769806579683320997636600725852987602204289<126> * 4517228317...<213> * [8432421512...<842>] * [6882032767...<2550>] (17.35%)
10^4105+1 = 1000000000...<4106> = 11 * 6569 * 9091 * [1383910654...<817>] * [1099989000...<3281>] (0.21%)
10^4106+1 = 1000000000...<4107> = 101 * 5484047509<10> * 1796790729286143469<19> * [1004800678...<4077>] (0.73%)
10^4107+1 = 1000000000...<4108> = 7 * 11 * 13 * 223 * 4663 * 7253 * 9862277 * 1486840783<10> * 8427128058379<13> * 422650073734453<15> * 1805584170432451<16> * 296557347313446299<18> * 21606064498691505246200058094681<32> * 961583576338166687686823020221823<33> * 48911689110891303706174193415115219<35> * [7092042045...<1283>] * [6572077375...<2636>] (4.59%)
10^4108+1 = 1000000000...<4109> = 73 * 137 * 259121 * 1580801 * 73921249 * 632527440202150745090622412245443923049201<42> * 5220170227...<299> * [1000099999...<3745>] (8.86%)
10^4109+1 = 1000000000...<4110> = 11 * 8219 * 909091 * 1846703 * 1685626853<10> * 742717206381529<15> * 430331915171209585201<21> * 2362816652618921835221783244380759723147543115253<49> * 552767636859084183383203313197359593414627006389177727<54> * [8758587490...<457>] * [1069027149...<3489>] (3.99%)
10^4110+1 = 1000000000...<4111> = 61 * 101 * 2741 * 3541 * 8221 * 9901 * 27961 * 4188901 * 39526741 * 718606649 * 40160350429<11> * 25667599314241<14> * 318831012420101<15> * 1692980828497201<16> * 144389656548047821<18> * 57471429069785276863021<23> * 2834523818368583744706086149<28> * 16254031864650930002850269462824009<35> * 6097790664173896352923803646734195061<37> * 45590288211884086268396615267733422521<38> * 11621897163409200201223887528138662702903389700229845471814520224606678003269<77> * 1651732052430074361873884440693609861769561877782463897348222686035759826875067120033981<88> * 178720049686128661890023146702383771619725932844782734965468342419910154928823674286045929<90> * [1518251219...<466>] * [3930789898...<523>] * [1393355863...<531>] * [5375416289...<999>] * [6809544655...<1065>] (12.86%)
10^4111+1 = 1000000000...<4112> = 11 * 49333 * 1973281 * 52570507878501779921<20> * [1776391480...<4080>] (0.77%)
10^4112+1 = 1000000000...<4113> = 353 * 449 * 641 * 1409 * 69857 * 3732454177<10> * 56135656173780210164257<23> * [4772728301...<4064>] (1.18%)
10^4113+1 = 1000000000...<4114> = 7 * 11 * 13 * 19 * 16453 * 52579 * 1247611 * 23781367 * 1373026339<10> * 2804755241<10> * 199276489717<12> * 127539278618607069275328998039143<33> * 198195508972868055641231971076246099449<39> * [1626508293...<436>] * [4197496653...<870>] * [1546765882...<2682>] (3.09%)
10^4114+1 = 1000000000...<4115> = 89 * 101 * 7481 * 56629 * 170369 * 28559389 * 29606281 * 1052788969<10> * 1056689261<10> * 1491383821<10> * 155623169021<12> * 2324557465671829<16> * 1491164086760128255001869<25> * 209363088773816814667969748813613304559806235889961<51> * 112140147722111043368115238376781750396610212197485327927551327238484846570899558676962628229357741668578262708884771183293753569<129> * [8675359172...<305>] * [1000000000...<3521>] (7.03%)
10^4115+1 = 1000000000...<4116> = 11 * 9091 * 197521 * 4029409 * 1327926961<10> * 7966164107283358001<19> * 1019633559336140736997<22> * 7753645758743266660672091<25> * [1406239579...<771>] * [1068336824...<3255>] (2.21%)
10^4116+1 = 1000000000...<4117> = 73 * 137 * 7841 * 8233 * 63113 * 737353 * 1482937 * 70251889 * 99990001 * 7173644689<10> * 11189053009<11> * 14498348929<11> * 52781463673<11> * 3343677109249<13> * 604681084564369<15> * 603812429055411913<18> * 12671206525925939041<20> * 127522001020150503761<21> * 148029423400750506553<21> * 60490967982719972099693856338929<32> * 5010620991340707523594168804430658367520003649793780623118456073<64> * 3781177083560380583441154025352663121070150968307048633209358859027273162533881299502797579969<94> * [4440936647...<279>] * [1584459620...<1172>] * 2208988824...<2288> (64.78%)
10^4117+1 = 1000000000...<4118> = 11 * 47 * 139 * 2531 * 13981333 * 549797184491917<15> * 523661705392754764972834211810001059<36> * 17360270948380236765442123580448180934246742941840774929827069381097446101825710313953633305039247538221205037054245870292654737645806593390849<143> * [7867633222...<3909>] (5.05%)
10^4118+1 = 1000000000...<4119> = 101 * 349 * 569 * 7669 * 38861 * 618049 * 823601 * 42950741 * 380623849488714809<18> * 3614404581527651125484849<25> * 7716926518833508778689508504941<31> * 93611382287513950329431625811490669<35> * 11811806375201836408679635736258669583187541<44> * 82519882659061966708762483486719446639288430446081<50> * [7899454166...<3882>] (5.73%)
10^4119+1 = 1000000000...<4120> = 7 * 11 * 13 * 90619 * 2306641 * 7051729 * 207712933 * 29169236717<11> * 54629637961<11> * 1227482389051<13> * [1351145884...<1356>] * [1234629352...<2702>] (1.52%)
10^4120+1 = 1000000000...<4121> = 17 * 108769 * 115361 * 5070721 * 5882353 * 20183057 * 3762354317873<13> * 15431380585187201<17> * 19721061166646717498359681<26> * 3387927299665567560256245220801<31> * 4584442447693805307021826613467885850257<40> * [2640959222...<752>] * [1658067197...<3213>] (3.80%)
10^4121+1 = 1000000000...<4122> = 11 * 859 * 3536453 * 12198161 * 12361733 * 1058313049<10> * 1445341847<10> * 68009240067498931554643059611689714176253<41> * 274615609644013922993995246232974390841373964547585372623<57> * 1113440267...<206> * [6239183330...<3776>] (8.38%)
10^4122+1 = 1000000000...<4123> = 101 * 2749 * 9901 * 41221 * 999999000001<12> * 13484173414861<14> * 200979643441189<15> * 552153310394909<15> * 695454471500592961<18> * 10104285316847199296041<23> * 1858724886098202636896329<25> * 55716151681286950012687536379206961<35> * [5825202438...<389>] * [5433827230...<888>] * [2560255318...<2679>] (4.05%)
10^4123+1 = 1000000000...<4124> = 11 * 2357 * 23561 * 240437 * 909091 * 3589367 * 1142669053<10> * 313360308665807383<18> * 909090909090909091<18> * 579210707460230341693<21> * 64500239461173164095133<23> * 247025236977306025681323889<27> * 909090909090909090909090909091<30> * 24749806404758076780332504664299816455649<41> * 61828645758322140842666144519962696417487<41> * 72021403933746126426491665754465510017877<41> * 22059227904420770836064175243763866620796477930349180699067305041042773585346008483552759881065631106663670362701807674552261329<128> * [5518505982...<526>] * [5694744254...<3177>] (10.20%)
10^4124+1 = 1000000000...<4125> = 73 * 137 * 131969 * 1510862290798082702537<22> * [5014870989...<4094>] (0.73%)
10^4125+1 = 1000000000...<4126> = 7 * 11^2 * 13 * 23 * 211 * 241 * 251 * 331 * 2161 * 4093 * 5051 * 5171 * 8779 * 9091 * 21001 * 162251 * 27581401 * 364320001 * 599144041 * 4124507971<10> * 10893295001<11> * 20163494891<11> * 31527408001<11> * 38269932251<11> * 183411838171<12> * 1501539197401<13> * 5927629818001<13> * 15334196149801<14> * 78875943472201<14> * 11153763122343284851<20> * 25005172023963824973001<23> * 124448981774280741575251<24> * 318727841165674579776721<24> * 19835636682880495867311241<26> * 59244397795882902986928930001<29> * 697584995226846644351713949856887251<36> * 781096971351185956306280104220477251<36> * 10000099999999989999899999000000000100001<41> * 1112314101311286003379752617807870409611285281<46> * 1863670848562011266258031940578523676121582933240001<52> * 1491273678477173069027664948012233844398077028447940172193498801<64> * 4709825349852110182615878875374419529306990314325041101342026868334001<70> * 14332371646347867103751140722104256371688921437307256086517631268211025054763001<80> * 269409792871731627664586194662281233853701011108906726055753272681082282441709251<81> * 44659135987047270733848138282609193992779311307114487270946545676364972087041313965550458035508373749740227131627209038723801<125> * 1677390810...<215> * [4408199414...<977>] * [8706201580...<1981>] (28.30%)
10^4126+1 = 1000000000...<4127> = 101 * 41878901 * [2364195301...<4117>] (0.23%)
10^4127+1 = 1000000000...<4128> = 11 * 1937948407<10> * 935505017131<12> * 19639240590681430506197<23> * 33151790854913948860097929<26> * [7701712428...<4057>] (1.70%)
10^4128+1 = 1000000000...<4129> = 193 * 769 * 2753 * 19841 * 976193 * 6187457 * 67867073 * 36808442529857<14> * 569896370965249<15> * 834427406578561<15> * 2729149807356097<16> * 1253224535459902849<19> * 8316321056168357161591149746561<31> * 28824972281059367505346468479361<32> * 3643612945124237739778981847633473<34> * 53763491189967221358575546107279034709697<41> * [1748461124...<1289>] * [6121750119...<2593>] (5.98%)
10^4129+1 = 1000000000...<4130> = 11 * [9090909090...<4128>] (0.03%)
10^4130+1 = 1000000000...<4131> = 29 * 101 * 281 * 421 * 1181 * 3541 * 27961 * 3471301 * 13489841 * 35764621 * 68921441 * 121499449 * 193274561 * 430148941 * 2345476561<10> * 3064985101<10> * 60368344121<11> * 347811486461<12> * 12013233555242641<17> * 848654483879497562821<21> * 8505896978256278656680007081<28> * 75037358034332057078790154693096980495187922731710294362515981973078279750268757439593899891657607361<101> * 230175856669373992253976277974612031182496625023886807386072581333871027940087154579555293851089822885094561<108> * 2907131293216055549329555883885796814746678687962202509667060729657495398875648698596222904827974545076532182201<112> * 520653324397227528554518392543013900878891270344020842934085764459790725432849518462993794988240361058638792443956485470892413349971308715379993067520813609439342049701<168> * [1465436568...<689>] * [1508205551...<1383>] * [2798897498...<1393>] (16.16%)
10^4131+1 = 1000000000...<4132> = 7 * 11 * 13 * 19 * 103 * 487^2 * 1459 * 4013 * 8263 * 52579 * 69499 * 2142001 * 5364487 * 13155859 * 67430557 * 70541929 * 832339891 * 2458921051<10> * 4755268459<10> * 14175966169<11> * 21993833369<11> * 276402747619<12> * 291078844423<12> * 2405782797823<13> * 41162450759641<14> * 456502382570032651<18> * 26199434335279059451<20> * 377526955309799110357<21> * 236186599173787727067007<24> * 610600386089858349939139<24> * 66100563990202822332249953159641<32> * 157393477257579000092993572752789683416120273639369<51> * 899718757349577828631761341730093220713822770643140264600436229195941807849819816835925771559643276518390048146301688389176642719947087961896703<144> * 1556103065...<220> * [2901274861...<838>] * [2544996603...<2579>] (17.31%)
10^4132+1 = 1000000000...<4133> = 73 * 137 * 16529 * 24793 * [2439949920...<4120>] (0.31%)
10^4133+1 = 1000000000...<4134> = 11 * 58016020379<11> * 174910334193848797909543979597<30> * [8958677653...<4092>] (0.99%)
10^4134+1 = 1000000000...<4135> = 101 * 521 * 1061 * 3121 * 3181 * 8269 * 9901 * 125929 * 187409 * 5051749 * 1905365734429<13> * 2649639318041<13> * 53397071018461<14> * 737788525797068814121<21> * 1900381976777332243781<22> * 6060517860310398033985611921721<31> * 1650244260647104976802437090486126821<37> * 245391150214875249502685807421982149521<39> * 75277048352808729626679875852901448034540173569840168229<56> * 15278590279454444563136979797805224163439540874769878797096077750173420678283300335413747713817503792216588098909716944819022901345851917974073820766105946285784669<164> * [1067494927...<1219>] * [1622909011...<2472>] (10.76%)
10^4135+1 = 1000000000...<4136> = 11 * 9091 * 468313561 * 24766003601<11> * 67367542397<11> * 86091046049881<14> * 6417344868309761501561<22> * 390927994098674505122281<24> * 851918694465828792193616615921<30> * 2014736089669888940425352477546278092192268265858033129<55> * [1430216258...<753>] * [2413926971...<3205>] (4.32%)
10^4136+1 = 1000000000...<4137> = 17 * 8273 * 84977 * 1687489 * 3056129 * 5882353 * 7941121 * 10100113 * 801310897 * 71306567377<11> * 679273924591681<15> * 17432639655812883290745409<26> * 24675897452175673572108819041<29> * 26860356253353129182987114159855489<35> * 497739854873037449538282211022770570513<39> * 9900879227786858424257223656804730798555422102713108259184822982673560177<73> * 3147442559...<245> * [4943761418...<3614>] (12.63%)
10^4137+1 = 1000000000...<4138> = 7^2 * 11 * 13 * 127 * 2689 * 4729 * 15761 * 21277 * 459691 * 909091 * 7187743 * 22836241 * 2034063613<10> * 354468025367<12> * 2034645175027837<16> * 429816561541372783<18> * 5074520115156808310077<22> * 300567477887394052365757<24> * 22855308821408308203355677757<29> * 371689241036286838741058891197<30> * 29811355463297742645615812791522446524687<41> * 4551047530439682198526844933441545392551140771<46> * 8955859986822981751383809840603974861999297964004527560289254265178892781447034540032897420548979315018635088359476294463<121> * [6255010304...<278>] * [3548491321...<1132>] * [1743531203...<2317>] (9.94%)
10^4138+1 = 1000000000...<4139> = 101 * [9900990099...<4136>] (0.05%)
10^4139+1 = 1000000000...<4140> = 11 * 9784597 * 6842222291<10> * 126869240573<12> * 9884652924699840872521<22> * [1082802942...<4089>] (1.23%)
10^4140+1 = 1000000000...<4141> = 73 * 137 * 1657 * 2393 * 3169 * 16561 * 98641 * 1676321 * 99990001 * 265183201 * 1469409649<10> * 1838540881<10> * 1984699441<10> * 5964848081<10> * 86239064881<11> * 22361420916001<14> * 57623262784777<14> * 3199044596370769<16> * 41168686909062457<17> * 38115215074391056784287931569<29> * 100009999999899989999000000010001<33> * 114153262735785998007938128909921<33> * 27043868269833638345091057330221113<35> * 95853807664312827399794371014650641<35> * 2992954220671053473210428102132664473<37> * 39340929985040037939860550511566010202173435808159761<53> * 4178437150016715837818641871709193476807772628503969494400330129962348520684914375257<85> * 1077654773020602154835873595438016994801570811542710006429679112760889048401772560028378495799359646781326368530020399986158679489264953<136> * [1000099999...<353>] * [1360717814...<394>] * [8759276660...<672>] * [3284279819...<2099>] (15.08%)
10^4141+1 = 1000000000...<4142> = 11 * 607 * 809 * 1213 * 1327067281<10> * 2670502781396266997<19> * 3404193829806058997303<22> * 11500490394117824585468796003575163076836624586334794818271756072956027758946488969<83> * [1099999999...<4001>] (3.40%)
10^4142+1 = 1000000000...<4143> = 101 * 20929 * 143881 * 430769 * 181767529 * 280305709 * 722817036322379041<18> * 1369778187490592461<19> * 49369369412784246809<20> * 35701893527078181712481<23> * 186542533208908650296535628715346860095610970570440898568725754271736032193933900171521062975638672064604619723224194512848019552268302687189633740722184126124790381<165> * [4601810018...<3866>] (6.67%)
10^4143+1 = 1000000000...<4144> = 7 * 11 * 13 * 8287 * 16573 * 211525009 * 1388783465757428735558016956769367<34> * [9090909090...<1380>] * [2723728900...<2711>] (1.27%)
10^4144+1 = 1000000000...<4145> = 353 * 449 * 641 * 673 * 1409 * 69857 * 12359777 * 43735845217<11> * 38911569975982183464097<23> * 2394873478125117716711137<25> * 62272056670899908681939530802657<32> * 217860610452031121598489279950204653537<39> * 155944009296214054100626916003794407157304353<45> * 3378366721...<545> * [4126938877...<3402>] (17.91%)
10^4145+1 = 1000000000...<4146> = 11 * 8291 * 9091 * 74611 * 1492201 * 53056001 * 45468612576649<14> * 18081197289920551624005736479518573<35> * [1105779228...<781>] * [2246036071...<3290>] (1.82%)
10^4146+1 = 1000000000...<4147> = 101 * 9901 * 237086475097614349<18> * 724622026510260581<18> * 897720822084629349764719120861<30> * [6419763314...<1315>] * [1009998990...<2761>] (1.72%)
10^4147+1 = 1000000000...<4148> = 11^2 * 23 * 59 * 859 * 1277 * 4093 * 8779 * 51767 * 357281 * 1058313049<10> * 22144088539<11> * 49561573447<11> * 264752347289<12> * 104730101107272149081<21> * 245785527397419047611<21> * 154083204930662557781201849<27> * 2005755353824446963360232183<28> * 484688693362852875650185421098728254915802251<45> * 776277205967881079419436133930781972785940099183<48> * 2680052779284995695116101096172766967989394552173439874009704597<64> * 34607524609209512562213651270561528862879196390936320471942325254862879783<74> * 6266570745...<213> * [8468109194...<228>] * [1844051509...<3313>] (14.63%)
10^4148+1 = 1000000000...<4149> = 73 * 137 * 8297 * 331841 * 2438537 * 152533657 * 10399345405377216553<20> * 13952265865824379919786738885136937<35> * 65552746171882583264230070868884366877803237222654400793<56> * 89376848303370085832547257811113680017983140270444916137<56> * 441160056784956066935585043996395720339746991856908200056965652272217569686164467898219919069368304598422319868082307673772600748575192615252243347701807248793<159> * [2603439863...<3797>] (8.48%)
10^4149+1 = 1000000000...<4150> = 7 * 11 * 13 * 19 * 2767 * 41491 * 52579 * 159545647 * 1252833466656156943<19> * 66978388952647155007<20> * 32554910832684288392360084059<29> * 363512492441311226935404528811<30> * 19106661240397987951762164436636893943<38> * [9090909090...<460>] * [1552571615...<834>] * [2038657758...<2698>] (3.82%)
10^4150+1 = 1000000000...<4151> = 101 * 3541 * 27961 * 60101 * 7019801 * 349488101 * 1133190701<10> * 550059014321<12> * 11730767633401<14> * 14103673319201<14> * 1680588011350901<16> * 28523597299050421<17> * 186800120554932461<18> * 532380360659184580001<21> * 53842781766332811378175769094601<32> * 267352619706048404954978381518286405201<39> * 69507360204230144165120626764201173268401<41> * 23023967955265160767768376873521136169786061<44> * 4300297028838474156015268798064619519844286165272568941158694953418333634388515222398381949374346543672407516659353137441<121> * [1737319642...<244>] * [5300204478...<295>] * [1730922658...<1560>] * [8736833084...<1631>] (10.17%)
10^4151+1 = 1000000000...<4152> = 11 * 909091 * 1076769401<10> * 24847902339257338205683745064387481<35> * 2909076542620598524499532435958736860811671130747534094532375046661903161<73> * 3125015432...<520> * [4111309812...<3509>] (15.48%)
10^4152+1 = 1000000000...<4153> = 17 * 5882353 * 58375531169<11> * 9999999900000001<16> * 332206671997424929<18> * 162133383039262474611217<24> * 127236957001698135791213089<27> * [1713046493...<1366>] * [1459170144...<2686>] (2.45%)
10^4153+1 = 1000000000...<4154> = 11 * 91367 * 897049 * [1109179369...<4142>] (0.29%)
10^4154+1 = 1000000000...<4155> = 101 * 269 * 4021 * 2049349 * 260587121 * 94927228208573594069<20> * 162671769021508746091227108361<30> * 2302527353565357450759725122262880394277261<43> * 483128549554512237305554588359039822397307149685578249<54> * 16071030565277594576986582552521799177065559188277159741<56> * [6208821641...<3931>] (5.37%)
10^4155+1 = 1000000000...<4156> = 7 * 11 * 13 * 211 * 241 * 1663 * 2161 * 9091 * 9419 * 9973 * 58171 * 3653077 * 2583222779<10> * 58371847473481<14> * 415560920852799932592825361<27> * 6168802778638935988361029411<28> * 1269913878336593802382585415846565761<37> * 357860022058291030637547388712539215949789354777863692262948494477223727474739887<81> * 10468914499016579557201453341874912215225582139574447316416037464431191539530016363378410596200156667456521361543364087524984553450338741820813125049764526797163897841239696982641<179> * 1808870732...<543> * [1489044041...<1064>] * [6081443980...<2140>] (22.91%)
10^4156+1 = 1000000000...<4157> = 73 * 137 * 45907177 * [2178090824...<4145>] (0.28%)
10^4157+1 = 1000000000...<4158> = 11 * 24943 * 105205357 * 623358779 * 79793298444451<14> * [6964922294...<4121>] (0.87%)
10^4158+1 = 1000000000...<4159> = 29 * 89 * 101 * 109 * 281 * 1009 * 4621 * 6469 * 9901 * 153469 * 226549 * 8798329 * 121499449 * 765144469 * 1052788969<10> * 1056689261<10> * 5419170769<10> * 39511854229<11> * 43266855241<11> * 79082656489<11> * 999999000001<12> * 2422383867289<13> * 51492439817281<14> * 789390798020221<15> * 2361000305507449<16> * 3205591041505249<16> * 4458192223320340849<19> * 13710442808952877681<20> * 1538607523068637497164701<25> * 59779577156334533866654838281<29> * 1514427595353706820425903708489<31> * 3827743799473382921769954849841<31> * 855877717157262831328185551318041<33> * 75518863997370018078536594994311911106041<41> * 165358820733883770736233015527320175869593121<45> * 22906246896437231227899575633620139766044690040039603689929<59> * 344410449392555791991391842565560527204857067026484035552706583597118812185729<78> * 3925277248426748966984537733816767395325307476622633188305245093834818012069881<79> * 130547462818138630777456508666491939964821812774903307594092374520935816757936709<81> * 8218476795659338409712353841905411607826230659151143998522545586866704239099075512109<85> * 17558859918233971274267353045256604123625708155378236163954582400346807794005623131429977614689<95> * 25561948931738399180959860493035633005346674997219855227412314112685523898853595360610683149167147379131162769<110> * [5129860832...<256>] * [8017023010...<694>] * [1136579457...<2154>] (25.38%)
10^4159+1 = 1000000000...<4160> = 11 * 1114613 * 248536924536127<15> * 834229583127610709245237<24> * [3933749532...<4114>] (1.09%)
10^4160+1 = 1000000000...<4161> = 4993 * 1301249 * 1265011073<10> * 14105914369<11> * 5630605803418753<16> * 171039774820082689<18> * 15343168188889137818369<23> * 515217525265213267447869906815873<33> * 33705988330014732169259712855760222337<38> * 15426023502522488030607387700105870831428809697868716409941105675494726401<74> * 648255203187314216731294348378302257298640011105497984364836891560544273730965869701275128505192385103313045785608085474749131564988961668305646333125115974331391224959722001218233601<183> * [3361378951...<678>] * [1000000000...<3073>] (9.87%)
10^4161+1 = 1000000000...<4162> = 7 * 11 * 13 * 293 * 877 * 1458973 * 3601237 * 247482272761<12> * 909090909090909091<18> * 10826684964539959837294043117<29> * 753201806271328462547977919407<30> * 5830219322612939561246246317093<31> * 286578888976194997999922592330908602103011<42> * 3943828696311504418317587369596960932033847171<46> * 61144905745257441183391523202790304609284611733<47> * [1099999999...<1297>] * [9100000000...<2592>] (6.56%)
10^4162+1 = 1000000000...<4163> = 101 * 16649 * 591801813781<12> * 619217629010224606169<21> * 22230037557695814257634335269<29> * 120298938456756145881259741201<30> * [6068325632...<4066>] (2.31%)
10^4163+1 = 1000000000...<4164> = 11 * 47 * 139 * 2531 * 13757 * 24979 * 549797184491917<15> * 1467439874822650361<19> * 57813769227978665304109403799291636496876923883191635824278127299864929561<74> * 778918424933155393480511088578762495409547716376329687166271120021739022042090054703<84> * [4403699107...<3956>] (4.98%)
10^4164+1 = 1000000000...<4165> = 73 * 137 * 2777 * 185993 * 99990001 * 252138529 * [1935905231...<1376>] * [3966470352...<2760>] (0.70%)
10^4165+1 = 1000000000...<4166> = 11 * 103 * 197 * 491 * 4013 * 9091 * 14281 * 18131 * 42841 * 87211 * 609757 * 674731 * 909091 * 2199121 * 4147571 * 787223761 * 1868879293<10> * 21993833369<11> * 265212793249617641<18> * 468077550747723841<18> * 548804832033845773<18> * 2850224398381919676251<22> * 5673320472670315859129<22> * 40410112822629936463361201<26> * 653518704357372488880162997801<30> * 319824888758480762691339433102367<33> * 5076141624365532994918781726395939035533<40> * 15670675217372765545752167365705617247353811<44> * 160220794821014452066741918303580917664386555934641<51> * 1965071455547075976451793652436868115828909241266827512665803201<64> * 103746647830421551242486430622636901002236971549990724717454338463<66> * 171885313809023973316297299617001972028698082056007969699724137675797535402763434997577528908814962221209301350715566313549141490281<132> * 1769728718...<238> * [9343574757...<616>] * [3408426747...<2643>] (21.76%)
10^4166+1 = 1000000000...<4167> = 101 * 33329 * 1333121 * 377603385150057784266709<24> * 680445408889792780179826779807875306556149<42> * [8672765544...<4088>] (1.87%)
10^4167+1 = 1000000000...<4168> = 7 * 11 * 13 * 19 * 5557 * 52579 * 6908887 * 50839253 * 537667443289<12> * 893210409451<12> * 1860679164649<13> * 968838896570999197717<21> * 33443462676716374314214817708653<32> * [1729403218...<439>] * [1641719481...<897>] * [6232400076...<2717>] (2.78%)
10^4168+1 = 1000000000...<4169> = 17 * 5882353 * 22987578673<11> * [4350175389...<4150>] (0.44%)
10^4169+1 = 1000000000...<4170> = 11^2 * 23 * 4093 * 8779 * 10613 * 30817249 * 4918445244727502358176820280164673127<37> * 33584520860278767011970207517032237108309731086439023<53> * [1682706163...<278>] * [1099999999...<3781>] (2.68%)
10^4170+1 = 1000000000...<4171> = 61 * 101 * 1669 * 3541 * 9901 * 27961 * 1701361 * 2374121 * 2420269 * 4188901 * 11158921 * 17046961 * 39526741 * 94869169 * 143089381 * 316045969 * 875855681 * 536254985893201<15> * 154220035640400941<18> * 413560439097312181<18> * 1520814102168434294101<22> * 1045337861333351589020041<25> * 681395720294658810682438883431201<33> * 22566203851955475809719636369904190294286729<44> * 538978365796508304569088931293097537674917585678041<51> * 17578550135840913456911316683567075151132274090424405862513992032108985729<74> * 17991550746452636778885686845907191686483610285262887318124980694534367263929242005840749<89> * [2042596332...<497>] * [2218195809...<532>] * [4083332536...<543>] * 9272275924...<1020> * [3507097708...<1097>] (36.05%)
10^4171+1 = 1000000000...<4172> = 11 * 57009401 * 2182600451<10> * 102527361354613106010527<24> * 7306116556571817748755241<25> * 323338434891034089173475790125293<33> * 27422699366054621683295623079471066588881<41> * [1099999999...<4033>] (3.33%)
10^4172+1 = 1000000000...<4173> = 73 * 137 * 1193 * 7841 * 15497 * 25033 * 9094961 * 882811889 * 169871816297<12> * 36990372762655063361<20> * 127522001020150503761<21> * 523688999052462666529<21> * 19562499561211294001273<23> * 32057918443938776296617977<26> * [2160506596...<581>] * [6035750220...<3437>] (3.71%)
10^4173+1 = 1000000000...<4174> = 7 * 11 * 13^2 * 157 * 859 * 1499 * 6397 * 16693 * 28463 * 74687 * 216451 * 392263 * 795653 * 7569823 * 1058313049<10> * 273185294773<12> * 388847808493<12> * 2366998879807<13> * 529556856977051917339<21> * 9289873078995653270647<22> * 819286135684982014643023<24> * 122821779795297711210947489<27> * 899788378170104270110161037<27> * 155490403648623445664788291934117<33> * 9140689231828972552925524522037823147045937571379494322686226282352288670801988451<82> * 6816076420889383530061928052932135771677823056533405853711387425758295002889889651952292014505658492373383206329623842705963383073925056196658386867709651975318465023<166> * [3133747599...<1132>] * [9100000000...<2544>] (11.92%)
10^4174+1 = 1000000000...<4175> = 101 * 175309 * 727268424983145015205506289<27> * [7765683405...<4140>] (0.82%)
10^4175+1 = 1000000000...<4176> = 11 * 251 * 5011 * 5051 * 9091 * 63716179 * 2560937409851<13> * 78875943472201<14> * 116011189311149998139<21> * 272828068791212993437<21> * 461278897961764513411218521401<30> * 301525294918950432087520298129941558711551656822567015411<57> * 14950128044255312629457887411604300692966728690551568705030373<62> * [4758831767...<631>] * [3904859197...<3308>] (5.67%)
10^4176+1 = 1000000000...<4177> = 97 * 353 * 449 * 641 * 1409 * 8353 * 9281 * 13249 * 69857 * 90017 * 206209 * 1067329 * 490324577 * 66554101249<11> * 75118313082913<14> * 692134775442241<15> * 20752917057986878529<20> * 363050401891291226709889<24> * 70716147055257711374123575798428608590219877617672752248112085912824160137075376116481<86> * 3240044370...<388> * [1444805311...<882>] * [1197174667...<2685>] (14.63%)
10^4177+1 = 1000000000...<4178> = 11 * 41771 * 2503204517897672317<19> * [8694329765...<4153>] (0.58%)
10^4178+1 = 1000000000...<4179> = 101 * 1842124557617101<16> * 3179112678155523753829488922284649<34> * [1690650016...<4128>] (1.22%)
10^4179+1 = 1000000000...<4180> = 7^2 * 11 * 13 * 127 * 2689 * 3583 * 5573 * 459691 * 909091 * 614739259 * 51423818851<11> * 1302554658007<13> * 3545105703277<13> * 10765760180213<14> * 12277415800813<14> * 28880190796545089<17> * 83603900194473037<17> * 180724074168604579796294647309331<33> * 2313690662340499476839285921303291<34> * 314293140427626491056008875724151058487007<42> * 34156671999167558280316457548021397439888515117317065783422183070342102287109965498971<86> * [4578798353...<370>] * [4805153851...<1126>] * [1088466075...<2360>] (7.77%)
10^4180+1 = 1000000000...<4181> = 73 * 137 * 457 * 617 * 881 * 6689 * 135433 * 1403417 * 1676321 * 5964848081<10> * 5240808656722481737<19> * 18106083645138827479299841<26> * 1998040637750997434972713736401<31> * 12231385993824607429587973444912801<35> * 16205834846012967584927082656402106953<38> * 297478330786365628414805305290302483555043017<45> * 545358172357012292201336067885308067971306777<45> * 11351872871736662882973881952326901248582292849023836549375698070374687854710556299659477866174801360953461975027241770726447219069239499432349602724177071521<158> * 8176505920...<254> * [2024304810...<667>] * [2763934413...<2825>] (16.49%)
10^4181+1 = 1000000000...<4182> = 11 * 4973 * 7253 * 4426889 * 339145368851<12> * 422650073734453<15> * 296557347313446299<18> * 412943108813978385999641617982242667485519119709940711942693553709517240114281629255685010553886849303<102> * [3243446914...<4021>] (3.84%)
10^4182+1 = 1000000000...<4183> = 101 * 409 * 2789 * 3061 * 9901 * 68389 * 225829 * 351289 * 5969449 * 28559389 * 134703241 * 1491383821<10> * 225974065503889<15> * 2324557465671829<16> * 120103628191556681985949<24> * 50263868906211981631565189<26> * 216667590115007379484962361<27> * 44398000479007997569751764249<29> * 83991579034720609392656974112397395006880745482841386049<56> * 1447745997018511893740076606031686237538345362413531560645573104006506749609<76> * 554997773096088237513524958962449928676083464040648051002127127164539795044109<78> * [2050937352...<1246>] * [3650423250...<2532>] (9.69%)
10^4183+1 = 1000000000...<4184> = 11 * 179 * 6299 * 4855067598095567<16> * 12147237304901893<17> * 297262705009139006771611927<27> * 4180967272673252032291190917188955510245874180001164839931077197586653<70> * [1099999999...<4049>] (3.23%)
10^4184+1 = 1000000000...<4185> = 17 * 3849281 * 5882353 * 142231289297<12> * [1826523367...<4159>] (0.62%)
10^4185+1 = 1000000000...<4186> = 7 * 11 * 13 * 19 * 211 * 241 * 373 * 1117 * 2161 * 5023 * 6481 * 9091 * 11161 * 29611 * 41851 * 44641 * 52579 * 3762091 * 70541929 * 3590254957<10> * 14175966169<11> * 261315626851<12> * 577603663291<12> * 3925963357681<13> * 8985695684401<13> * 31023833790241<14> * 524816314748371<15> * 5167617497664851<16> * 22672589441232691<17> * 909090909090909090909090909091<30> * 6548241632713397411808073416931<31> * 183372282864547916749018225828651<33> * 108131551600520034721722272883130729<36> * 727277354166367703302208465230580401<36> * 553114664478262993662992814601370587114291<42> * 8610583349234340055547908764091017276717091<43> * 18381907262281244633158190677786966663091011<44> * 3093888678771257769541252942946202755752229401<46> * 1158334526259936604206939942487445760921582415411<49> * 3092189186638711651761630213691413266133197806226014052371<58> * 4857900688365130469291831549890842547443917376935406225054646143856579892970236911030721<88> * 4887054837129490444185770642291712106451445708466643483270887621857163512076927093556902832792696796518529880218993484798134507347686651311824503<145> * [7045616588...<490>] * [1903525046...<706>] * [3285444197...<2120>] (20.80%)
10^4186+1 = 1000000000...<4187> = 29 * 101 * 281 * 521 * 1289 * 121499449 * 24024683489<11> * 305045929501<12> * 654721485601<12> * 18371524594609<14> * 216613430183025989<18> * 3852034888625542529<19> * 11321155065857650469<20> * 1900381976777332243781<22> * 671082513552668016215173889<27> * 4181003300071669867932658901<28> * 1009805096139614383066323378818605356821967673241<49> * 3571618567996393297210217238290456648947344377957590363519828421<64> * 431916413820617754546053476804635449461410533962843828981966782964481<69> * 4617409966317766554788668533405686826442194090910823947914436635807133747667659259397151418066265041582929284878893879005928553193826692398321349887540466176358283350940672581933619840253537612607049<199> * [4709139884...<442>] * [9900990099...<3168>] (13.77%)
10^4187+1 = 1000000000...<4188> = 11 * 1423 * 113124367 * 9615060929<10> * 764180239453<12> * 9090909090909090909090909090909090909090909090909091<52> * 66443174541490579097997510158021076958392938976011506949065646573<65> * [1272449981...<4037>] (3.60%)
10^4188+1 = 1000000000...<4189> = 73 * 137 * 8377 * 30713 * 8188937 * 99990001 * 397090815169<12> * [3975637725...<1381>] * [3006526734...<2769>] (0.93%)
10^4189+1 = 1000000000...<4190> = 11 * 1889 * 290249 * 1090805842068098677837<22> * 4411922770996074109644535362851087<34> * 31321069464181068355415209323405389541706979493156189716729115659<65> * [1099999999...<4061>] (3.08%)
10^4190+1 = 1000000000...<4191> = 101 * 3541 * 27961 * 33521 * 5663423303088842981<19> * 3694282184532746187389<22> * 1683735308680418754311470527721<31> * 49453918341530959777007194979644921<35> * [1591749570...<785>] * [3007996844...<1615>] * [3576409999...<1672>] (2.86%)
10^4191+1 = 1000000000...<4192> = 7 * 11^2 * 13 * 23 * 2287 * 3557 * 4093 * 8779 * 599144041 * 857772733 * 1094479651<10> * 1125629957<10> * 183411838171<12> * 451897625287<12> * 2297833265641<13> * 616896149073719728613<21> * 10860110813777339731289<23> * 1053449334720579590200819<25> * 36099531273603138218699301565567581705151216702113889<53> * 4444349792156709907895752551798631908946180608768737946280238078881<67> * 227106988265159616528571981140572415396122551755756282296008613353922816015404819504625289055134338407924996143023758066472872886277706507970899321<147> * [4787118440...<1248>] * [9100000000...<2520>] (10.10%)
10^4192+1 = 1000000000...<4193> = 19841 * 976193 * 6187457 * 948146308481<12> * 834427406578561<15> * [1054689546...<4149>] (1.05%)
10^4193+1 = 1000000000...<4194> = 11 * 265957 * 909091 * 4712933 * 566182860314268445323284219<27> * 6037250154...<566> * [2334002817...<3582>] (14.59%)
10^4194+1 = 1000000000...<4195> = 101 * 8389 * 9901 * 999999000001<12> * 265197188311481<15> * 582931831426081<15> * 539876558782299169<18> * 362246305833052004989<21> * 19977209515877168679260823111001<32> * 31306780512964774446383151831688280696877739051661<50> * [1192535462...<401>] * [8672979984...<882>] * [6095253936...<2742>] (4.06%)
10^4195+1 = 1000000000...<4196> = 11 * 9091 * 7374811 * 107314813 * 4524696582986291<16> * 6019610075586611191360847<25> * 713179443752745679211641547767533209753303<42> * [1973242516...<764>] * [3296461332...<3330>] (2.44%)
10^4196+1 = 1000000000...<4197> = 73 * 137 * 109097 * 335681 * 3599156466433812795397984296574698260321<40> * [7586060063...<4142>] (1.29%)
10^4197+1 = 1000000000...<4198> = 7 * 11 * 13 * 512664073335446569<18> * 3781793251116026068275853<25> * [9090909090...<1398>] * [5667975200...<2754>] (1.08%)
10^4198+1 = 1000000000...<4199> = 101 * 25189 * 17078261621<11> * [2301569202...<4182>] (0.40%)
10^4199+1 = 1000000000...<4200> = 11 * 103 * 647 * 859 * 4013 * 108529 * 738379 * 38816051 * 82266809 * 1058313049<10> * 21993833369<11> * 1644353478367<13> * 344954191876997<15> * 6917979239326637<16> * 137920431040354691<18> * 909090909090909091<18> * 1078893279821424911891<22> * 70919383630417672662131<23> * 2016492306990976282439501774196098215666169<43> * 298705372736554351789156294144090138390916509553983003911433879637774413<72> * 3223223954501479327423165941405274903133026914570794172630632038291499361359375290791990253041841<97> * 438725907577156177685201819419114255533305134233669402807964649891016719989703392491612289098617653<99> * 785169466067103922302074341602058239426162618120338520239766767222347973614225900721518268190627331693<102> * 40035620418199159948776350763252140477472791476548845372200559635028684381015278952822428460800436345936412694554672982482829838608416302164821877697601124434554975414863<170> * [6591415805...<3439>] (18.10%)
10^4200+1 = 1000000000...<4201> = 17 * 113 * 337 * 3361 * 20161 * 280001 * 1378721 * 3085601 * 5070721 * 5882353 * 1132716961<10> * 24592788001<11> * 5758943337281<13> * 32233075296001<14> * 75500478859681<14> * 9999999900000001<16> * 2682954359513131201<19> * 73765755896403138401<20> * 134993874645518800648801<24> * 6717658458758041138199521<25> * 19721061166646717498359681<26> * 119968369144846370226083377<27> * 281259985248437790051014401<27> * 826427348932069065539097601<27> * 31388506438433752927908678241<29> * 2070270028985341766616009080161<31> * 681246048580017390433849414006037281<36> * 1081862991605594332069477594870669601<37> * 203939065707819971348847334277829768072001<42> * 3475700719926956233659563848134955052440801<43> * 70488250368897247920709885766793062547616862669921<50> * 245852083551051217541465412461202922395395232640413677301754561<63> * 1433319827159466789806966856379479179916136529424792832495021393<64> * 116990301476747139063183899107829995503054414640437569739696739532637081068627241615756780789663364521811201<108> * [1521240334...<266>] * 3471850615...<300> * [1157445767...<949>] * [2761039707...<1879>] (26.39%)