10^112301+1 = 1000000000...<112302> = 11 * 22093 * 81131 * 169373 * 898409 * 909091 * 7123093 * 55405813 * 231360835259<12> * 3471745395343<13> * 935875736987641<15> * 1221836164173949226042017629809<31> * 280864846266479724963196714881918703837192646197734463<54> * 11205222530116836855321528257890437575145023592596037161<56> * 9713799312...<247> * [3055273414...<288>] * [6929995070...<1520>] * [1544272972...<15714>] * [1011889907...<94315>] (0.42%)
10^112302+1 = 1000000000...<112303> = 101 * 409 * 3061 * 9901 * 54469 * 74869 * 449209 * 2972701 * 5969449 * 7913989 * 28559389 * 36334469 * 134703241 * 158963941 * 1491383821<10> * 43354966609<11> * 999999000001<12> * 1945251895429<13> * 2709009355501<13> * 3626707988341<13> * 225974065503889<15> * 2324557465671829<16> * 1493465068122544981<19> * 157538980319816607121<21> * 6856295012927633680741<22> * 846160494149365798478410729<27> * 44398000479007997569751764249<29> * 112544281755782732673671367061<30> * 5199635803411913284713990963149<31> * 783547101206294913371101984838610145434601594940320359051755346054094539252541<78> * 5240670838...<694> * [1473097333...<1443>] * [6564774878...<4350>] * [1009999999...<11713>] * [1322443200...<23420>] * [1144393202...<70255>] (1.00%)
10^112303+1 = 1000000000...<112304> = 11 * 12917078241645962207<20> * [7037898912...<112283>] (0.02%)
10^112304+1 = 1000000000...<112305> = 353 * 449 * 641 * 1409 * 69857 * 35712673 * [2800126442...<112281>] (0.02%)
10^112305+1 = 1000000000...<112306> = 7 * 11 * 13 * 211 * 241 * 2161 * 9091 * 224611 * 808597 * 1123051 * 788830321 * 43625775691<11> * 94691446905424441<17> * [1187310849...<7464>] * [1098901098...<14973>] * [2521419923...<29934>] * [4573320514...<59868>] (0.06%)
10^112306+1 = 1000000000...<112307> = 101 * 83869 * 265555009 * 61896232441<11> * 5471449266109<13> * 7237006501421<13> * 265197188311481<15> * 31306780512964774446383151831688280696877739051661<50> * [1192535462...<401>] * [7182215783...<456>] * [2550703830...<111335>] (0.10%)
10^112307+1 = 1000000000...<112308> = 11 * 653 * 859 * 13693 * 380117 * 1058313049<10> * 1081170746333<13> * 2031212705005411<16> * 14286890032106357<17> * 137469787293516012571904952981451<33> * 66953479943839030979655991920753816099754871899<47> * 9090909090909090909090909090909090909090909090909091<52> * 106288106156544189601112452124463274118441603168767263777500290285464677481570934480831778653<93> * [1099999999...<625>] * [8001758216...<1912>] * [1317727779...<8392>] * [9090909090...<101088>] (0.26%)
10^112308+1 = 1000000000...<112309> = 73 * 137 * 7841 * 74873 * 161969 * 224617 * 737353 * 1482937 * 2567041 * 2994881 * 5056153 * 70251889 * 99990001 * 182163577 * 265688641 * 11189053009<11> * 14498348929<11> * 52781463673<11> * 3343677109249<13> * 36998798507833<14> * 604681084564369<15> * 514631050028139409<18> * 603812429055411913<18> * 43900587458401448881<20> * 127522001020150503761<21> * 148029423400750506553<21> * 8464809710844890517494016141257<31> * 5010620991340707523594168804430658367520003649793780623118456073<64> * 3781177083560380583441154025352663121070150968307048633209358859027273162533881299502797579969<94> * [4440936647...<279>] * [7293021137...<724>] * [1977986030...<1514>] * [7570326952...<4536>] * [2065960623...<9104>] * [1015838954...<31890>] * [1203288473...<63822>] (0.39%)
10^112309+1 = 1000000000...<112310> = 11 * 47 * 139 * 2531 * 9767 * 30841 * 711437 * 590852767 * 47212767691<11> * 549797184491917<15> * 909090909090909091<18> * 1446026381377557429343<22> * 24774818705990020972487<23> * 162042241078574943878419<24> * 55825391503338973544921658331<29> * 9498400822691862046976266078607<31> * 8157210416556447648087047867900686079357<40> * 41236044512156603777979544195943152517271779<44> * 6621650829759394867011952029659651154933062041670057842400167<61> * 1079532167431061415165932592055901092454451592309148326151617900514215922407756340218895879841860600138403440141998167181967545309634241890872640207<148> * [2776379924...<319>] * [4748030473...<4550>] * [2074485555...<5573>] * [9090909090...<101376>] (0.44%)
10^112310+1 = 1000000000...<112311> = 89 * 101 * 661 * 3541 * 18041 * 27961 * 148721 * 20440421 * 678005261 * 1052788969<10> * 1056689261<10> * 1121407321<10> * 2655866041<10> * 4149017281<10> * 4449722201<10> * 71614696121<11> * 508528428581<12> * 16110317751601<14> * 33557071207001<14> * 467262803176220341<18> * 30325829730565244958721<23> * 86393439065822121033901<23> * 1395900370916327245555441901<28> * 82004035977363048702801018341<29> * 36380545029953205956377406702261<32> * [3727970442...<2031>] * [2251756908...<4028>] * [5079322426...<4043>] * [3855031394...<20355>] * [3311330141...<40766>] * [1367940494...<40794>] (0.26%)
10^112311+1 = 1000000000...<112312> = 7 * 11 * 13 * 19 * 52579 * 511564127 * 844453931 * 2094699983<10> * 405286928774826846103<21> * [1004637630...<12452>] * [2711415100...<24936>] * [1000999998...<74869>] (0.05%)
10^112312+1 = 1000000000...<112313> = 17 * 5882353 * 1404221661569<13> * 5950563956848801<16> * 241512820454226049<18> * 5897861123026503881036334241<28> * [7020455063...<755>] * [1680512968...<1089>] * [7121382879...<110388>] (0.07%)
10^112313+1 = 1000000000...<112314> = 11 * 7247 * 21739 * 434761 * 1739041 * 23890063 * 296263253736708933013<21> * 909090909090909090909090909091<30> * [1078335759...<3575>] * [1099999999...<108661>] (0.07%)
10^112314+1 = 1000000000...<112315> = 101 * 9901 * 224629 * 3745284854200469<16> * [1176868525...<37416>] * [1009998990...<74873>] (0.02%)
10^112315+1 = 1000000000...<112316> = 11 * 9091 * 44927 * 909091 * 4147571 * 178580851 * 195235561 * 638892647 * 14652043800689<14> * 265212793249617641<18> * [9090909090...<3208>] * [3154964881...<12816>] * [2615526496...<19222>] * [9091000909...<76992>] (0.07%)
10^112316+1 = 1000000000...<112317> = 73 * 137 * 224633 * 39031040316479833<17> * 277641151780258438310079109077611969<36> * 2645778409917434965592366282025495569<37> * 38993135849791157061060738352944105076217<41> * 34908493290773859017057784025792153817150916131843303273<56> * [2561807222...<2592>] * [4452150841...<109531>] (0.17%)
10^112317+1 = 1000000000...<112318> = 7 * 11 * 13 * 59 * 15493 * 638453709757<12> * 11870289377699<14> * 135080726389891<15> * 648021026379841<15> * 13331481312239743<17> * 154083204930662557781201849<27> * 1274194732898148471766404179653<31> * 32320138096553298196155603912891601<35> * [2369587775...<1243>] * [1094545926...<2562>] * [8251146097...<36104>] * [9100000000...<72240>] (0.15%)
10^112318+1 = 1000000000...<112319> = 101 * 38449 * 138841 * 24533746329343441<17> * 19479975130329986533201<23> * 18547092770394661955046893866403953444141877738854819606028843831344546174591125346548473015452312338456023705554686130669604243301021812682716262365263155956618360389<167> * [2071697574...<1222>] * [1009999999...<110881>] (0.19%)
10^112319+1 = 1000000000...<112320> = 11 * 103 * 4013 * 118927 * 21993833369<11> * 96343736491<11> * 185747386065365610371<21> * 347733131587775021131<21> * [1228385222...<6550>] * [1099999999...<105697>] (0.07%)
10^112320+1 = 1000000000...<112321> = 1153 * 3457 * 4993 * 7681 * 12289 * 23041 * 49921 * 264961 * 311041 * 314497 * 414721 * 748801 * 1301249 * 18685441 * 54712321 * 60952321 * 120511873 * 249400321 * 418725889 * 1265011073<10> * 1554750721<10> * 14105914369<11> * 14696198401<11> * 5079461695489<13> * 8995207403521<13> * 170570167986817<15> * 1468645609566721<16> * 5439027024038401<16> * 5630605803418753<16> * 171039774820082689<18> * 875966579543278081<18> * 24932834283758484481<20> * 171805500641472910081<21> * 15343168188889137818369<23> * 15839740793264419741441<23> * 43973391534976940851201<23> * 3141283741966127083395633409<28> * 515217525265213267447869906815873<33> * 33705988330014732169259712855760222337<38> * 338579887181973006729167651681190977281<39> * 15426023502522488030607387700105870831428809697868716409941105675494726401<74> * 16603249990114694613009401045119923580957837937462177950368477911534904193<74> * 648255203187314216731294348378302257298640011105497984364836891560544273730965869701275128505192385103313045785608085474749131564988961668305646333125115974331391224959722001218233601<183> * 3764171210...<377> * 4363505089...<424> * [3361378951...<678>] * [1266256079...<1131>] * [2305829316...<1506>] * [5862689893...<1522>] * [1000000000...<3073>] * [2641575312...<4573>] * [7752224362...<4597>] * [1250522016...<6083>] * [3179680569...<13819>] * [2191004838...<18419>] * [1111703104...<55284>] (1.46%)
10^112321+1 = 1000000000...<112322> = 11^2 * 23 * 4093 * 8779 * 691570609 * 187194270805331<15> * 466554587259223<15> * 1320106740895635499<19> * [1140162417...<10155>] * [1099999999...<102101>] (0.06%)
10^112322+1 = 1000000000...<112323> = 29 * 101 * 281 * 569 * 6329 * 7669 * 9941 * 158201 * 1572509 * 2373001 * 7220701 * 83118281 * 121499449 * 52743988481<11> * 132305743681936841<18> * 380623849488714809<18> * 3780737442524096936129<22> * 7716926518833508778689508504941<31> * 93611382287513950329431625811490669<35> * 20996081257263730184696490606426919949<38> * 34453877927677573724583746662925863572929<41> * 82519882659061966708762483486719446639288430446081<50> * 62554557765317517282085861045655294434955453111717816503072219942390838369658841<80> * 226813030797815731197778256645639265718556459184651841552579161651406131077524640644151258260029762686434793845331341<117> * [4838971398...<799>] * [1233789363...<1289>] * [3699691345...<15652>] * [7575109824...<94066>] (0.46%)
10^112323+1 = 1000000000...<112324> = 7 * 11 * 13 * 64847813 * 157701493 * 24327963689<11> * 2165305733917<13> * 553254695355223087<18> * 31751357335029401809673809<26> * [2080094247...<37371>] * [5075038973...<74868>] (0.08%)
10^112324+1 = 1000000000...<112325> = 73 * 137 * [9999000099...<112320>] (0.00%)
10^112325+1 = 1000000000...<112326> = 11 * 251 * 5051 * 9091 * 367402494601<12> * 3537919647209<13> * 78875943472201<14> * 22016774315102500517<20> * 1934529676293140175881<22> * [6032957457...<4439>] * [1099989000...<17969>] * [2721837806...<89829>] (0.08%)
10^112326+1 = 1000000000...<112327> = 101 * 389 * 9901 * 14980681 * 10142663381<11> * 527076098741298929<18> * 3516493057568485255839901<25> * 16041626127830486357454781<26> * 121281361155185115284360748638810161<36> * 1439921227944130405196041866693950149<37> * 78412655334235167606162810513004420610966509546603404268745999503561001<71> * 32459577600675557860942537579547020207960799876413377335594586605416959347268194103170247296625068200526946320832808609<119> * [6876063708...<348>] * [6742009859...<377>] * [1476279953...<684>] * [1889278745...<36837>] * [9901000000...<73728>] (0.32%)
10^112327+1 = 1000000000...<112328> = 11 * 239705819 * [3792527494...<112318>] (0.01%)
10^112328+1 = 1000000000...<112329> = 17 * 134369 * 5882353 * 303510257 * 1180241528801<13> * 3501540311537<13> * 31735795756961<14> * 234504682039452385472228601837391217101263308508305719138749905156540866534427238711769806579683320997636600725852987602204289<126> * [9999999900...<5904>] * [7972538210...<106239>] (0.16%)
10^112329+1 = 1000000000...<112330> = 7^2 * 11 * 13 * 19 * 127 * 2689 * 52579 * 74887 * 459691 * 909091 * 1572607 * 5274739 * 6857419 * 461946773 * 620056081 * 54750277891<11> * 140477598997<12> * 847806946687<12> * 106904807988422832733<21> * 423974504148770240011<21> * 41492612476068829375839397<26> * 189772422673235585874485732659<30> * [2190970524...<1757>] * [2001678159...<3533>] * [3096045257...<10662>] * [2360991024...<10672>] * [6825339531...<21366>] * [1611146202...<64144>] (0.18%)
10^112330+1 = 1000000000...<112331> = 101 * 941 * 3541 * 27961 * 33461 * 45121 * 208409 * 478001 * 91589581 * 2434229341<10> * 6407776421<10> * 29096340761<11> * 110452774501<12> * 474181059033108701<18> * 18465110677523332168571918701<29> * 2491653754605959598248971533744219901<37> * 2144906157509411684424913774078958939881<40> * 10797227871160341111429503179257533464512022361<47> * 36278027867431861993452659830529311893020335861<47> * 1023037643093214557651333120422980213172396059301<49> * 42157853280662310205321393137024198154146256810773381728147893015840621480436349967076290258995255358372987501<110> * 275470502026595918095622662444529838408035859152559589588391774948370157702113946705140409286985742346466789268894813963795774092351262475425561619290841<153> * [1765884106...<389>] * 4741622233...<908> * [8439858341...<948>] * [1009999999...<21897>] * [3540999999...<43792>] * [2796100000...<43793>] (1.35%)
10^112331+1 = 1000000000...<112332> = 11 * 3369931 * 119389430717<12> * [2259542033...<112313>] (0.02%)
10^112332+1 = 1000000000...<112333> = 73 * 137 * 617 * 1657 * 2377 * 2393 * 3257 * 4049 * 6073 * 16369 * 40849 * 364321 * 432961 * 40864561 * 61544617 * 84102481 * 99990001 * 1469409649<10> * 6796152793<10> * 24387741577<11> * 54615849443593<14> * 318684157007833<15> * 521864886681601<15> * 16444765848115921<17> * 31495401976675753<17> * 341673099301171969<18> * 126197002179733470481<21> * 165553216084681453513<21> * 453327400041552921193<21> * 526700386091603212369<21> * 1200208041009256171817<22> * 2587615968623127199913<22> * 283830826522232279893972777<27> * 38115215074391056784287931569<29> * 89062217122354312168960127809<29> * 16205834846012967584927082656402106953<38> * 78423397189035946058321607200546180176617061948406580747828212881<65> * 4178437150016715837818641871709193476807772628503969494400330129962348520684914375257<85> * 987958734776503660730847298429926744644928427487850380038560428638070909650210480224210297181360032908354907525523774393<120> * 1077654773020602154835873595438016994801570811542710006429679112760889048401772560028378495799359646781326368530020399986158679489264953<136> * 7413647414915912456095291913585548438617298422325378879679910834861418508044083512279141934598325099533634759172455661729929526151907909705700148668130193294652504402201795631932236872015298449<193> * [6779715115...<871>] * [1479197691...<1325>] * [4029085224...<1749>] * [4325397768...<2837>] * [1000099999...<3169>] * [2447795564...<6332>] * [9183015386...<31648>] * [1000099999...<63361>] (0.93%)
10^112333+1 = 1000000000...<112334> = 11 * 859 * 1058313049<10> * [9090909090...<8640>] * [1099999999...<103681>] (0.01%)
10^112334+1 = 1000000000...<112335> = 101 * 224669 * 52796981 * 137047481 * 252976169 * [2407552217...<112303>] (0.03%)
10^112335+1 = 1000000000...<112336> = 7 * 11 * 13 * 211 * 241 * 2161 * 9091 * 74891 * 8672263 * 4634479189933<13> * 567357255898169263464483739<27> * [3457401093...<7449>] * [1267144572...<14970>] * [1468786636...<29948>] * [9100090999...<59904>] (0.06%)
10^112336+1 = 1000000000...<112337> = 353 * 449 * 641 * 673 * 1409 * 11329 * 13217 * 34273 * 69857 * 27557249 * 58627969 * 43735845217<11> * 64031508577<11> * 27455242620577<14> * 96133333114241<14> * 155534027487073<15> * 695364827943164513<18> * 4859846047732923587514032493793<31> * 8274466617334672110426476083265843201<37> * 217860610452031121598489279950204653537<39> * 155944009296214054100626916003794407157304353<45> * 32834183607181658456698862190332942753904274373750127864196636481293558631166688587638325415670849<98> * 627810998673389218825263319860513240289438361646700648804034810302457438784160932972184864281054744807682885907521<114> * [2497185271...<859>] * [4556738908...<1521>] * [1088063871...<5547>] * [6429461232...<14834>] * [9999999999...<89088>] (0.44%)
10^112337+1 = 1000000000...<112338> = 11 * 2412549413<10> * [3768175292...<112327>] (0.01%)
10^112338+1 = 1000000000...<112339> = 101 * 5689 * 9901 * 10429 * 14221 * 132721 * 174749 * 21407803309<11> * 546282544681<12> * 999999000001<12> * 1876095832493821<16> * 1136147877590474858093442721<28> * 507998564486483655774880939989709<33> * 646301962916453492325383567253991760083617720844121<51> * 530084044837791203267418958734478905892862260111193658629289735929681<69> * 7296903902...<303> * [1132969223...<894>] * [5722493404...<12319>] * [2489848230...<24623>] * [1000000000...<73945>] (0.50%)
10^112339+1 = 1000000000...<112340> = 11 * [9090909090...<112338>] (0.00%)
10^112340+1 = 1000000000...<112341> = 73 * 137^2 * 1097 * 1676321 * 121553521 * 5964848081<10> * 5073514674441841<16> * 19326499661850377<17> * 292549304722652561<18> * 100053257915376196241<21> * 1020783386354597532481<22> * 36637591407529194237097<23> * 29538470069644094847727632948024527616881<41> * 2245236606248397162554620353530247131809555439174332456262048578539955402631665831489925370072038825037489223972536291929859656473<130> * [6653181603...<539>] * [6537518273...<563>] * [3416749364...<2139>] * [5174760135...<21744>] * [9999000099...<87040>] (0.28%)
10^112341+1 = 1000000000...<112342> = 7 * 11 * 13 * 105725790254099<15> * [8598572844...<37432>] * [1098901098...<74893>] (0.02%)
10^112342+1 = 1000000000...<112343> = 101 * [9900990099...<112340>] (0.00%)
10^112343+1 = 1000000000...<112344> = 11^2 * 23 * 463 * 4093 * 8779 * 24179 * 26263 * 32099 * 590437 * 909091 * 7444361 * 755476037 * 21606479819<11> * 35165115637<11> * 4539402627853030477<19> * 4924630160315726207887<22> * 794157316664184535777113799277<30> * [4358694592...<1424>] * [4140567780...<8729>] * [3426898034...<14576>] * [4207492417...<87470>] (0.13%)
10^112344+1 = 1000000000...<112345> = 17 * 2417 * 74897 * 144961 * 195697 * 5882353 * 6421729 * 7573921 * 485626357393<12> * 12108527768017<14> * 142674388060289<15> * 789592121167489<15> * 9999999900000001<16> * 309408166106395361<18> * 866353530992835497979626513<27> * 2212893713887918222645451169509853038253459532292347577233<58> * 660604434404260846910281367365053154708765216915398862085932105728073399727051255954484746381837884289669103543541094033006584881480446026721<141> * [1320320095...<474>] * [9224448217...<1174>] * [1638557220...<2377>] * [9358140547...<35981>] * [8258642249...<71987>] (0.31%)
10^112345+1 = 1000000000...<112346> = 11 * 9091 * 44939 * [2022944233...<22464>] * [1099989000...<89873>] (0.01%)
10^112346+1 = 1000000000...<112347> = 101 * 349 * 521 * 10729 * 38861 * 85229 * 607921 * 618049 * 898769 * 18580301 * 62689069 * 2081839241<10> * 5048897101<10> * 114550003829<12> * 14583568490089<14> * 27922759005649<14> * 57873844066949<14> * 742848213859006589<18> * 136916416686052955621<21> * 1900381976777332243781<22> * 11811806375201836408679635736258669583187541<44> * 12463671098882718881327685400890631793963396331809714158641277443477408779299864788341586092901595083520271865575162918829366361<128> * 8895507508554837180752614096475159767380814608706479209439730943455128688243292437421408196724545840220038878927488419955380770391177802169<139> * [5751998314...<629>] * [4244002713...<3534>] * [7317597961...<8263>] * [3036381885...<99429>] (0.44%)
10^112347+1 = 1000000000...<112348> = 7 * 11 * 13 * 19^2 * 293 * 877 * 1459 * 2053 * 3943 * 24967 * 52561 * 52579 * 445447 * 524287 * 1415179 * 1458973 * 3601237 * 22469401 * 70541929 * 2458921051<10> * 4410785971<10> * 14175966169<11> * 48048115573<11> * 60966262009<11> * 247482272761<12> * 595904172463<12> * 2911579215499<13> * 82443675106369<14> * 404838774066943<15> * 456502382570032651<18> * 909090909090909091<18> * 11711644564422894025699<23> * 610600386089858349939139<24> * 307010852070382484317401373<27> * 10826684964539959837294043117<29> * 28821826124280860786408658529<29> * 753201806271328462547977919407<30> * 5830219322612939561246246317093<31> * 49362030073896516588593978862967<32> * 286578888976194997999922592330908602103011<42> * 3943828696311504418317587369596960932033847171<46> * 61144905745257441183391523202790304609284611733<47> * 6508684267533856834852965580950145565983063793936631379<55> * 9550200998...<273> * [1345733557...<422>] * [1000000000...<973>] * [1200818030...<1251>] * [1099999999...<1297>] * [9100000000...<2592>] * [2025848609...<3857>] * [2159984942...<7751>] * [1907352268...<23323>] * [2081247075...<69974>] (0.81%)
10^112348+1 = 1000000000...<112349> = 73 * 137 * 9250284929<10> * [1080939687...<112335>] (0.01%)
10^112349+1 = 1000000000...<112350> = 11 * 224699 * 960547113009881<15> * [4211991675...<112328>] (0.02%)
10^112350+1 = 1000000000...<112351> = 29 * 61 * 101 * 281 * 421 * 601 * 701 * 2141 * 3541 * 6421 * 9901 * 12841 * 27961 * 60101 * 226549 * 256801 * 261301 * 374501 * 404461 * 689081 * 719041 * 969421 * 1194901 * 1273301 * 1492009 * 3471301 * 3903901 * 4188901 * 7019801 * 13489841 * 27028201 * 39526741 * 62134801 * 121499449 * 311539061 * 422100001 * 1384194841<10> * 42681134161<11> * 44391175601<11> * 60368344121<11> * 69966546721<11> * 168290119201<12> * 219345525001<12> * 228105328501<12> * 424451728681<12> * 1125310645201<13> * 1977535165849<13> * 5455568729101<13> * 9676217271841<13> * 14103673319201<14> * 14384763483301<14> * 40882343106721<14> * 83569448609401<14> * 90010714474201<14> * 1680588011350901<16> * 3106495339799701<16> * 10719760477926601<17> * 96252210267521261<17> * 534032645670834301<18> * 4458192223320340849<19> * 20711147782873451941<20> * 21707781788806247681<20> * 25074091038628125301<20> * 848654483879497562821<21> * 12873189646390111360561<23> * 1011830938406970995068801<25> * 1044374808061138338437701<25> * 139790941013628227711346421<27> * 488239289020187886343898117565101<33> * 2503449683975634389122475131418441<34> * 38654658795718156456729958859629701<35> * 462952154771114670771746552667066061<36> * 635390420419704778459322819229975601<36> * 1886761518694183355008022297648815301<37> * 10070868837525352428796400989776525941<38> * 282448028612066894256984424869264385801<39> * 2663175124735692788546303920893311173981<40> * 2569164908474306407837982546400715548833401<43> * 213567756617511209506778605497489645838025587933288349770601<60> * 4729413357148090640380520548670420819661897089600775548490401<61> * 2973385658387841660090191886374395419376540691403988974383959767974439471407978471880584291823101<97> * 2421825498886875706568085804897442030525256100180294305383840413574930314582991559155197335837338973747281007884658776715423100656032123324942160620509168628560523446063044557248001192491268292405581<199> * [6202221911...<215>] * 1814751034...<228> * [5602597698...<341>] * [1825247764...<371>] * [5107362981...<412>] * [7642967005...<775>] * [4571583120...<792>] * [3903574322...<1193>] * [6001750944...<2025>] * [1980654884...<2077>] * [4351341845...<2519>] * [1303779692...<2531>] * [1640706755...<2533>] * [1266121835...<4220>] * [4340319036...<4229>] * [4265961106...<5060>] * [2643374002...<5076>] * [7775457654...<12714>] * [1010050200...<12721>] * [6882628977...<25427>] * [1010050099...<25441>] (1.50%)
10^112351+1 = 1000000000...<112352> = 11 * 1699 * 241117 * 15149521 * 1687090479049<13> * 16790376230301757<17> * 61945573305222690279363663578823967<35> * 49019999488937337866558715558211303750925973449<47> * 151168348012920493188164812150408056175148228488823<51> * 4834389726736518293852244130660191969670797610633948645694761977558159678896763591712097243317272920296826630341374217553659008741548305187653<142> * 3573945994...<373> * [6520100810...<111660>] (0.62%)
10^112352+1 = 1000000000...<112353> = 19841 * 976193 * 6187457 * 2858114213953<13> * 834427406578561<15> * [3498810492...<112308>] (0.04%)
10^112353+1 = 1000000000...<112354> = 7 * 11 * 13 * 103 * 4013 * 13219 * 74903 * 1123531 * 15055303 * 44593127 * 159673441 * 21993833369<11> * 30814607899<11> * 291078844423<12> * 856117725877<12> * 4839485257291<13> * 71434484445979<14> * 377526955309799110357<21> * 6055889093853522371939670185927<31> * 76179004467076342877840445457742271571<38> * [3342932280...<2122>] * [9634252146...<4382>] * [5566770764...<35205>] * [1111648946...<70439>] (0.18%)
10^112354+1 = 1000000000...<112355> = 89 * 101 * 12461081 * 1052788969<10> * 1056689261<10> * 1557553289<10> * [5101289762...<10196>] * [1009999999...<102121>] (0.03%)
10^112355+1 = 1000000000...<112356> = 11 * 47 * 139 * 691 * 2531 * 9091 * 2236313921<10> * 103014030011<12> * 117660852521<12> * 1388976508219<13> * 299185352839531<15> * 549797184491917<15> * 15918798843849477568899983937931966555877132981347465830696251648192619376266439940521<86> * [9090909090...<976>] * [1099989000...<3905>] * [3541318737...<21451>] * [2506934351...<85852>] (0.15%)
10^112356+1 = 1000000000...<112357> = 73 * 137 * 3169 * 98641 * 99990001 * 54012525361<11> * 2052405479017<13> * 3199044596370769<16> * 3302184220522221817<19> * 193038099123930831409<21> * [2731477492...<12439>] * [5180842561...<24940>] * [1000000000...<74881>] (0.09%)
10^112357+1 = 1000000000...<112358> = 11 * 197 * 9173 * 909091 * 9231619 * 27639823 * 241208681743<12> * 2739578549689772712241<22> * 5076141624365532994918781726395939035533<40> * [3918630296...<2260>] * [1099999890...<13753>] * [1499932967...<96246>] (0.09%)
10^112358+1 = 1000000000...<112359> = 101 * [9900990099...<112356>] (0.00%)
10^112359+1 = 1000000000...<112360> = 7 * 11 * 13^2 * 157 * 859 * 2237 * 6397 * 7237 * 10453 * 130651 * 216451 * 57009401 * 1058313049<10> * 2182600451<10> * 2713379293<10> * 17830074841<11> * 388847808493<12> * 1169982318623<13> * 851109498533797<15> * 7787649669673771<16> * 7306116556571817748755241<25> * 45360300267343173645804799921<29> * 304768036847074491064894608014695867632997<42> * 3605696680890791382725432167911038465896663<43> * 909090909090909090909090909090909090909090909090909090909090909091<66> * 220589842618680198991086731354678488275926380957742565496334997548411735059<75> * [4917299955...<501>] * 9401851485...<780> * [3353751546...<999>] * [8556207285...<1559>] * [1099999999...<2773>] * [9100000000...<5544>] * [9090909090...<33264>] * [1098901098...<66529>] (1.06%)
10^112360+1 = 1000000000...<112361> = 17 * 30529 * 5070721 * 5882353 * 7567221281<10> * 14802306401<11> * 27249519156823169<17> * 3598147325458648817<19> * 105801292309560102097<21> * 19721061166646717498359681<26> * [3157611242...<357>] * [1000000009...<1665>] * [1321489041...<22039>] * [6755703962...<88182>] (0.11%)
10^112361+1 = 1000000000...<112362> = 11 * 4285223819<10> * [2121454905...<112351>] (0.01%)
10^112362+1 = 1000000000...<112363> = 101 * 1229 * 9901 * 76129 * 128941 * 190321 * 390889 * 1587221 * 4801921 * 19101541 * 2834820061<10> * 3812801341<10> * 8441425501<10> * 29376149689<11> * 81183810541<11> * 467043606144413071608209<24> * 2418666002101476599410229029<28> * 101444162656037151745878558385892753596849<42> * 75743388768260974116327848920184337528059461788181539337429709<62> * 1305704182448226909845888790598975114740359397093421223355030629345156521<73> * 1087990925195463452802538049940594096989130726971208253428665898558089768698552971751226781442226809<100> * [2043400618...<576>] * [2666459753...<1209>] * [5287531513...<36713>] * [9901000000...<73440>] (0.38%)
10^112363+1 = 1000000000...<112364> = 11 * [9090909090...<112362>] (0.00%)
10^112364+1 = 1000000000...<112365> = 73 * 137 * 7841 * 1926241 * 66776321 * 127522001020150503761<21> * 21516277344524432219589041<26> * [3612903221...<16009>] * [1000099999...<96289>] (0.06%)
10^112365+1 = 1000000000...<112366> = 7 * 11^2 * 13 * 19 * 23 * 211 * 241 * 331 * 2161 * 4093 * 5171 * 8779 * 9091 * 14851 * 14983 * 24971 * 29611 * 52579 * 59929 * 115771 * 326881 * 868957 * 1825081 * 2097481 * 2669521 * 3762091 * 6081331 * 11655997 * 19102051 * 25973641 * 36346333 * 52135091 * 590179571 * 599144041 * 751721851 * 4124507971<10> * 7093127053<10> * 20163494891<11> * 113058412361<12> * 183411838171<12> * 1430393056093<13> * 2152139463931<13> * 7652709230329<13> * 8985695684401<13> * 866827617364081<15> * 3861904074787001<16> * 7036296586744962637<19> * 33358096440126554251<20> * 62582482880509718700841<23> * 318727841165674579776721<24> * 19835636682880495867311241<26> * 28138602645244568633125103077637<32> * 1112314101311286003379752617807870409611285281<46> * 141122524877886182282233539317796144938305111168717<51> * 6476572499...<203> * [2589866579...<229>] * [1098901098...<453>] * [1037057595...<842>] * [1858980043...<1325>] * [6005883409...<1784>] * [4298398093...<2207>] * [3033108622...<4502>] * [3525684979...<5404>] * [1091376160...<9017>] * [9990010000...<13560>] * [1098890109...<18081>] * [6971029206...<54224>] (0.66%)
10^112366+1 = 1000000000...<112367> = 101 * 59141 * 4258081 * 476088829 * 2429837869<10> * 1430837193349<13> * 722817036322379041<18> * 1369778187490592461<19> * 477729679540029740221<21> * [4972082344...<5850>] * [1009999999...<106417>] (0.09%)
10^112367+1 = 1000000000...<112368> = 11 * 5009 * 25849 * 1185471851<10> * 19210610797963667218565939<26> * 1074844665139845442819616837<28> * 3942061217624131929520541160207424212724650028976527<52> * 2731764846587782091546914066524656594612608438032609803989298453<64> * 589855742530873303648997100606906463934277315614405401704255573694516882878454393085805024793769310885400567<108> * 72617518122470447454518812762092739764061943025353225549543353013253141910591452067570296901386356517079584442320341255503<122> * [6701608956...<265>] * [9279005647...<111687>] (0.37%)
10^112368+1 = 1000000000...<112369> = 97 * 353 * 449 * 641 * 1409 * 69857 * 206209 * 224737 * 66554101249<11> * 21446647947553<14> * 75118313082913<14> * [2074751073...<37422>] * [1000000000...<74881>] (0.06%)
10^112369+1 = 1000000000...<112370> = 11 * 7253 * 18223 * 595253 * 150260934078053<15> * 422650073734453<15> * 296557347313446299<18> * 1996164652951507321<19> * [2794109368...<2994>] * [1099999999...<109297>] (0.07%)
10^112370+1 = 1000000000...<112371> = 101 * 3541 * 26861 * 27961 * 396601 * 1229461 * 3371101 * 5393761 * 6226621 * 28559389 * 153510641 * 1491383821<10> * 630458508221<12> * 7568346838961<13> * 109299259166761<15> * 2324557465671829<16> * 28361556467115601<17> * 35541321732345929<17> * 237612993541791006121<21> * 1988731184935761442996825520561<31> * 920710003821937627768617447378781<33> * 1051361091529803074497312148085134194834726090632313891925201<61> * [7096367685...<1285>] * [3159436867...<2601>] * [4638545096...<2627>] * [3561158574...<21104>] * [1947432705...<42227>] * [2558205837...<42227>] (0.27%)
10^112371+1 = 1000000000...<112372> = 7^2 * 11 * 13 * 127 * 2689 * 192637 * 224743 * 459691 * 909091 * 181463914651<12> * 14494639626525625849573494342533<32> * [3255818499...<5314>] * [6055755498...<10689>] * [1099999890...<32101>] * [4049069786...<64195>] (0.07%)
10^112372+1 = 1000000000...<112373> = 73 * 137 * 1580801 * 1299694553<10> * 632527440202150745090622412245443923049201<42> * [9999000099...<8640>] * [7694884907...<103671>] (0.05%)
10^112373+1 = 1000000000...<112374> = 11 * 1237 * 13093 * 44092859 * 102860539 * 984385009 * 612053256358933<15> * 73819102923463619<17> * 182725114866521155647161<24> * 111728244381536155159302091<27> * 1471865453993855302660887614137521979<37> * [8418532816...<1043>] * [1099999999...<111181>] (0.13%)
10^112374+1 = 1000000000...<112375> = 101 * 109 * 9901 * 16649 * 153469 * 30565729 * 591801813781<12> * 999999000001<12> * 2226136216815829<16> * 619217629010224606169<21> * 22230037557695814257634335269<29> * 59779577156334533866654838281<29> * 120298938456756145881259741201<30> * [6068325632...<4066>] * [1009998990...<8321>] * [4492092588...<24945>] * [3271637983...<74873>] (0.15%)
10^112375+1 = 1000000000...<112376> = 11 * 59 * 251 * 1451 * 5051 * 5801 * 9091 * 11161 * 21001 * 162251 * 5733823 * 17465251 * 30104611 * 58765601 * 87194011 * 88137961 * 2452433251<10> * 4807542001<10> * 6612761251<10> * 10893295001<11> * 109138977001<12> * 728008898249<12> * 2433146345771<13> * 3925963357681<13> * 3990255326251<13> * 78875943472201<14> * 5167617497664851<16> * 17996132431060961<17> * 154083204930662557781201849<27> * 909090909090909090909090909091<30> * 1454892394829329396686295381001<31> * 2568284027666111786822331496771<31> * 1783819981751579676826660296718813<34> * 19139674963189505655771688512382087<35> * 97862727665480231246011008935563207741144491224418517422691228321<65> * 269409792871731627664586194662281233853701011108906726055753272681082282441709251<81> * 4857900688365130469291831549890842547443917376935406225054646143856579892970236911030721<88> * 1579507159...<546> * [1000009999...<601>] * [7718379575...<754>] * [5951294635...<2753>] * [8481637695...<2981>] * [4605947162...<3314>] * [9999900000...<16800>] * [2506105294...<83988>] (1.06%)
10^112376+1 = 1000000000...<112377> = 17 * 61297 * 5882353 * 10100113 * 134851201 * 1031611681<10> * 20555551364129<14> * 1598727601862288203217<22> * 9900879227786858424257223656804730798555422102713108259184822982673560177<73> * [7567135037...<10174>] * [4715791799...<102058>] (0.13%)
10^112377+1 = 1000000000...<112378> = 7 * 11 * 13 * 4783 * 6299 * 344887 * 674263 * 824099 * 9127213 * 131031583 * 1203332917<10> * 1284881957<10> * 3829358653<10> * 16649431279573<14> * 4855067598095567<16> * 114994068305815597<18> * 1160803383934463712259<22> * 297262705009139006771611927<27> * 30073566270559048948142559741512708796590524703892560552659<59> * [6152741163...<770>] * [3603568482...<1566>] * [1645122236...<36596>] * [6944890530...<73224>] (0.20%)
10^112378+1 = 1000000000...<112379> = 29 * 101 * 281 * 1289 * 18149 * 121499449 * 11836370853469<14> * 18371524594609<14> * 19897704321769<14> * 54104497406801<14> * 216613430183025989<18> * 1629817591083768753421<22> * 4181003300071669867932658901<28> * 74915436117173227002352013241469<32> * 33656479000542395699931698558373291481489<41> * 1009805096139614383066323378818605356821967673241<49> * 4617409966317766554788668533405686826442194090910823947914436635807133747667659259397151418066265041582929284878893879005928553193826692398321349887540466176358283350940672581933619840253537612607049<199> * [1008306480...<679>] * [1700825838...<4078>] * [6197012509...<15291>] * [9900990099...<91872>] (0.41%)
10^112379+1 = 1000000000...<112380> = 11 * 2063 * 395261441623<12> * 38712416139247<14> * 3338786746233023<16> * 14060959683864286267405933000927102019<38> * 19364383321148719295180578853325741855858987848620134943<56> * [4406645220...<1027>] * [7188825756...<111215>] (0.12%)
10^112380+1 = 1000000000...<112381> = 73 * 137 * 44953 * 134857 * 299681 * 1676321 * 99990001 * 334922369 * 5964848081<10> * 108575712241<12> * 306133908481<12> * 1008958728161<13> * 43823897494241<14> * 475399308308129<15> * 23397815577209761<17> * 100009999999899989999000000010001<33> * [6279916551...<7465>] * [7050760117...<14950>] * [2270678742...<29899>] * [9999000100...<59904>] (0.15%)
10^112381+1 = 1000000000...<112382> = 11 * 21929 * 1426114891<10> * 17008294223<11> * 6805115516183<13> * 2670502781396266997<19> * 3404193829806058997303<22> * [3581724895...<2713>] * [7713263545...<109591>] (0.07%)
10^112382+1 = 1000000000...<112383> = 101 * 11989453361<11> * 105850491231217489<18> * 36764627737869172094680667009<29> * 1354592090378874321847140113114629<34> * 23023967955265160767768376873521136169786061<44> * 4300297028838474156015268798064619519844286165272568941158694953418333634388515222398381949374346543672407516659353137441<121> * [1566562251...<1264>] * [1009999999...<110865>] (0.23%)
10^112383+1 = 1000000000...<112384> = 7 * 11 * 13 * 19 * 52579 * 349637 * 1798129 * 4345477 * 29344451 * 90295536376841<14> * [9812906452...<12459>] * [2528838833...<24966>] * [5566897586...<74910>] (0.04%)
10^112384+1 = 1000000000...<112385> = 10753 * 8253953 * 1334897153<10> * 9524994049<10> * 73171503617<11> * 1616596633...<225> * [7491213819...<112119>] (0.24%)
10^112385+1 = 1000000000...<112386> = 11 * 131 * 677 * 859 * 6761 * 6917 * 9091 * 17291 * 224771 * 385321 * 909091 * 4147571 * 6587491 * 21705503 * 38816051 * 43013881 * 82266809 * 857722321 * 954708847 * 987001237 * 1058313049<10> * 1258323641<10> * 1537167451<10> * 378574024921<12> * 922682378437<12> * 1812604116731<13> * 2475034612051<13> * 37588147236251<14> * 121450506296081<15> * 1081846114760321<16> * 9961307014161049<16> * 46205575684179731<17> * 265212793249617641<18> * 909090909090909091<18> * 31740864418372643899<20> * 309589156691199312383<21> * 2132178310436954247617371<25> * 247025236977306025681323889<27> * 61828645758322140842666144519962696417487<41> * 72021403933746126426491665754465510017877<41> * 4996731930447843676185843959746621491531100801<46> * 8396862596258693901610602298557167100076327481<46> * 5009499553764433156007921686514205741644754894222691<52> * 1592730232155679902273246343099578009020762979379345291<55> * 50678387411703889101759125785290439894389920385627096501794498837<65> * 939618179300167110691422839525295363729230399945945616908880764779647712170590547747265739<90> * 438725907577156177685201819419114255533305134233669402807964649891016719989703392491612289098617653<99> * 785169466067103922302074341602058239426162618120338520239766767222347973614225900721518268190627331693<102> * 1466817919595327188231351160432180116180213542961467363285140303495782586558277396794837473411809269073036798832404763045989876001215861751553184924252035281973147552669068625063450431325422201<193> * [7224692132...<423>] * [6936901740...<596>] * [2418581565...<851>] * [1017643138...<897>] * [1381981756...<1268>] * [1000000000...<2809>] * [2324830907...<3737>] * [1659495812...<5153>] * [2595238774...<11227>] * [4821781160...<16831>] * [1165878484...<67384>] (1.08%)
10^112386+1 = 1000000000...<112387> = 101 * 9901 * 327043261 * 363676559876269<15> * [9900990099...<37460>] * [8491813053...<74897>] (0.03%)
10^112387+1 = 1000000000...<112388> = 11^2 * 23 * 103 * 4013 * 4093 * 8779 * 192611 * 431932691 * 1200234263<10> * 21993833369<11> * 1284680342573<13> * 4393806969952149653<19> * 6315203673292075607<19> * 125797399492676917721<21> * 730010767233437179325511388630469450917<39> * 12319072731805329005802468132076248505842564849805129<53> * 55957395872359820769658435528889482277826574998014018514928782197341726428854387236670658714503098749571<104> * [4437894368...<473>] * [1099999999...<6001>] * [1099999999...<9601>] * [9090909091...<96000>] (0.28%)
10^112388+1 = 1000000000...<112389> = 73 * 137 * 4720297 * [2118298933...<112378>] (0.01%)
10^112389+1 = 1000000000...<112390> = 7 * 11 * 13 * 449557 * 855804773 * [1062264359...<37454>] * [2444408826...<74919>] (0.02%)
10^112390+1 = 1000000000...<112391> = 101 * 3541 * 27961 * 586696292293481<15> * [1687583546...<22462>] * [3576409999...<44952>] * [2824060999...<44953>] (0.02%)
10^112391+1 = 1000000000...<112392> = 11 * 2693 * 63716179 * 53120389367<11> * 2418135902717<13> * 116011189311149998139<21> * 272828068791212993437<21> * 1982160256400708939410214263<28> * 301525294918950432087520298129941558711551656822567015411<57> * 14950128044255312629457887411604300692966728690551568705030373<62> * [1325837329...<619>] * [1099999999...<111553>] (0.20%)
10^112392+1 = 1000000000...<112393> = 17 * 113 * 337 * 8929 * 24977 * 96337 * 449569 * 5882353 * 1438118081<10> * 1607879953<10> * 53551041601<11> * 876151546993<12> * 48125083275361<14> * 9999999900000001<16> * 70092677215888321<17> * 73765755896403138401<20> * 2058348413426818527793<22> * 119968369144846370226083377<27> * 2070270028985341766616009080161<31> * 72841238673283847793996117940609<32> * 1114737869182936469693737960974486017089<40> * 111994624258035614290513943330720125433979169<45> * 1433319827159466789806966856379479179916136529424792832495021393<64> * 11824792503914776383865492901019100670460517256833712771719617457<65> * 75863646933147015591828268401923986261986397730196168081539267851470929961346053360645853358874777126920177958883875403750336775844271700524766982560221150310256906229475838502330430737<185> * [9999999900...<1776>] * [1372848716...<3521>] * [5755840635...<10618>] * [5198729985...<10632>] * [3173445107...<21290>] * [1292334342...<63914>] (0.57%)
10^112393+1 = 1000000000...<112394> = 11 * 3167 * 290249 * 31321069464181068355415209323405389541706979493156189716729115659<65> * [2870511238...<1579>] * [1099999999...<110741>] (0.07%)
10^112394+1 = 1000000000...<112395> = 101 * 15697204546201<14> * 44901237780821<14> * [1404746618...<112366>] (0.03%)
10^112395+1 = 1000000000...<112396> = 7 * 11 * 13 * 211 * 241 * 1889 * 2161 * 2287 * 3557 * 5081 * 9091 * 15241 * 89917 * 674371 * 157297121 * 857772733 * 1094479651<10> * 1125629957<10> * 6549246491<10> * 60247408327<11> * 451897625287<12> * 2660369248721<13> * 142800112259251<15> * 346701670776121<15> * 405519787216361<15> * 968385024074451409<18> * 2676157881043509853<19> * 616896149073719728613<21> * 1090805842068098677837<22> * 2353867026803341982771<22> * 10860110813777339731289<23> * 25602601418102182972721<23> * 1053449334720579590200819<25> * 6628925590922901572512321<25> * 193428272579096534429098931<27> * 258912669263486564449721971<27> * 803454205095303821868753731<27> * 3203031926532314264104769060847481<34> * 4411922770996074109644535362851087<34> * 219734968010040680865912320713950289<36> * 202367638102311029520083171135894724910091<42> * 36099531273603138218699301565567581705151216702113889<53> * 4444349792156709907895752551798631908946180608768737946280238078881<67> * 1174468140649914584097264138153408637853221082957239399275046690523556598768034374284436218737159495708861498925726659983288086179744161<136> * 227106988265159616528571981140572415396122551755756282296008613353922816015404819504625289055134338407924996143023758066472872886277706507970899321<147> * 3717737335...<388> * 1372785208...<440> * [5970796535...<1004>] * [1099999999...<7309>] * [1012044440...<14612>] * [6366241493...<29218>] * [4700017166...<58444>] (1.61%)
10^112396+1 = 1000000000...<112397> = 73 * 137 * [9999000099...<112392>] (0.00%)
10^112397+1 = 1000000000...<112398> = 11 * 8991761 * 64537683019<11> * [1566567780...<112379>] (0.02%)
10^112398+1 = 1000000000...<112399> = 89 * 101 * 521 * 1049 * 3121 * 9901 * 14149 * 86461 * 102181 * 116329 * 1063921 * 2547689 * 33887081 * 45401981 * 50388889 * 297145729 * 1052788969<10> * 1056689261<10> * 5419170769<10> * 5483448829<10> * 13473390349<11> * 27801097721<11> * 152980598629<12> * 17576772101461<14> * 53397071018461<14> * 322185369274849<15> * 789390798020221<15> * 2361000305507449<16> * 1900381976777332243781<22> * 2127500000989959227044381<25> * 16562591475507178902771829<26> * 713817955118527722933714135629<30> * 6060517860310398033985611921721<31> * 754309323029578981494450523147961<33> * 4832227158939716614468345433242909<34> * 40520191245153663291616075979301737566653577978261825599617472901135361<71> * 389057640102575795238314817222406419443832674379928206992954147805827425053833398395365869<90> * 1345744499...<224> * [6083217201...<463>] * [8682263150...<515>] * [1980989689...<2547>] * [1009999999...<3121>] * [6854847798...<5158>] * [5850333474...<6210>] * [3886263236...<31194>] * [1841904650...<62391>] (0.71%)
10^112399+1 = 1000000000...<112400> = 11 * 909091 * 1894727 * 60995147849<11> * [7866207215...<16039>] * [1099999890...<96337>] (0.02%)
10^112400+1 = 1000000000...<112401> = 353 * 449 * 641 * 1409 * 4801 * 43201 * 69857 * 980801 * 1634881 * 18453761 * 19152961 * 33270401 * 140544961 * 838953601 * 10570275841<11> * 947147262401<12> * 344078485700801<15> * 3893626303011815046971521<25> * 349954396040122577928041596214187605761<39> * [4915793084...<306>] * [7719473800...<4448>] * [4189136705...<17886>] * [2906313650...<89586>] (0.16%)