10^105001+1 = 1000000000...<105002> = 11 * 859 * 15761 * 7187743 * 20289179 * 1058313049<10> * 218042508986317<15> * 353260760112204881<18> * 2670502781396266997<19> * 3404193829806058997303<22> * 300567477887394052365757<24> * 29811355463297742645615812791522446524687<41> * 5780277672136021382565530998301988506064011453<46> * 8955859986822981751383809840603974861999297964004527560289254265178892781447034540032897420548979315018635088359476294463<121> * [2655119735...<410>] * [1099999999...<2353>] * [5044887829...<7826>] * [9090909090...<94080>] (0.32%)
10^105002+1 = 1000000000...<105003> = 101 * [9900990099...<105000>] (0.00%)
10^105003+1 = 1000000000...<105004> = 7 * 11 * 13 * 19 * 52579 * 70541929 * 14175966169<11> * 21136403881<11> * 127042849693<12> * 1837345762463383<16> * 30360933963749047<17> * [7155781779...<3877>] * [3619457491...<7760>] * [2577579600...<23303>] * [1000000000...<69985>] (0.08%)
10^105004+1 = 1000000000...<105005> = 73 * 137 * 22480516369<11> * [4447851613...<104990>] (0.01%)
10^105005+1 = 1000000000...<105006> = 11 * 9091 * 210011 * 27721321 * 19869472462303<14> * 192278302108471359887<21> * [2379527343...<20967>] * [1889436833...<83988>] (0.05%)
10^105006+1 = 1000000000...<105007> = 89 * 101 * 149 * 3109 * 9769 * 9901 * 24421 * 26489 * 95461 * 111149 * 115589 * 140009 * 338669 * 1549549 * 2724481 * 4274029 * 30623569 * 124957141 * 592756429 * 1052788969<10> * 1056689261<10> * 2171333161<10> * 5419170769<10> * 7716573481<10> * 708840373781<12> * 16609747224181<14> * 79429596819409<14> * 789390798020221<15> * 2361000305507449<16> * 23653713304547869<17> * 26860773000292529<17> * 553846660793381209<18> * 669031686661427842829<21> * 3672223303881933097441<22> * 216958873469174619232843649<27> * 3751922408231314384223389069<28> * 8045181580990560114237163201<28> * 34173003529432362514766613941<29> * 40548140514062774758071840361<29> * 58587009814376657974497513881<29> * 543309565743971477870075858731741<33> * 2228457285782705288389843210675909<34> * 60010660555308299243971058378689609<35> * 13441721102334727627682496494535257828666281<44> * 202026760686388880964731015757788959143121139209<48> * 46229724820742226005075125617528225785246749164469<50> * 35267115916388035942705181992852854614802588780637908577449241<62> * 2923500556298303355222653948542706598448925085853709961673200056984872843366529<79> * 1726229049...<685> * [2460653693...<830>] * 5861938226...<1392> * [3776378851...<1605>] * [2325195491...<2941>] * [9390912390...<6013>] * [1276830154...<30218>] * [8082763273...<60472>] (2.79%)
10^105007+1 = 1000000000...<105008> = 11 * 197 * 8573 * 909091 * 36178127 * 174791653 * 2586176687<10> * 47524588894721<14> * 19820162968563815200127<23> * 5076141624365532994918781726395939035533<40> * [1133366103...<2122>] * [3175153539...<12822>] * [2104174119...<89951>] (0.11%)
10^105008+1 = 1000000000...<105009> = 353 * 449 * 641 * 1409 * 69857 * 1011857089<10> * [9882818540...<104983>] (0.02%)
10^105009+1 = 1000000000...<105010> = 7 * 11 * 13 * 59 * 103 * 1973 * 4013 * 8237 * 210019 * 290249 * 776969 * 2107849 * 17257687 * 235166917 * 2078475727<10> * 7702200133<10> * 21993833369<11> * 291078844423<12> * 638453709757<12> * 1019889942823<13> * 3172586595041<13> * 5956660937179<13> * 40256406669887<14> * 135080726389891<15> * 2184943628221853<16> * 3079278098563171<16> * 2345603468472542539<19> * 47574748029818884687<20> * 377526955309799110357<21> * 865788741404845009303<21> * 300503420695741075487179<24> * 2704847996728297407369169<25> * 154083204930662557781201849<27> * 5126215301698730702342306263<28> * 21977699107816352490639478201<29> * 688004525914096632979930899769<30> * 1274194732898148471766404179653<31> * 2844366024589741098287806157501475277<37> * 31321069464181068355415209323405389541706979493156189716729115659<65> * 2372121273417053818094646796447673682891780435916485887293151054782924005644394241806042716589462595192339<106> * 3312754470...<353> * [3467640564...<850>] * [1020506370...<1081>] * [8211325945...<1916>] * [2328352048...<2181>] * [2897604917...<3893>] * [1981479737...<31338>] * [1098901098...<62721>] (0.98%)
10^105010+1 = 1000000000...<105011> = 101 * 3541 * 27961 * 1116256301<10> * 1783360404705082961<19> * 2815210184186172181<19> * [4973654152...<20973>] * [1270388271...<41982>] * [2824060999...<42001>] (0.05%)
10^105011+1 = 1000000000...<105012> = 11 * 9689 * 40063 * 16864733 * 218128429157<12> * 1470366704648366851<19> * 21506393120493988624437213019<29> * 55635102055543836835465457049148501469803488052399095459738250346232835862545261814302848982434784577390375138359139691388144380289619426750242614561569128075543<161> * [7175804659...<555>] * [5042900662...<104221>] (0.22%)
10^105012+1 = 1000000000...<105013> = 73 * 137 * 3169 * 98641 * 99990001 * 4315293121<10> * 5802053017<10> * 88468409521<11> * 2037110010658537<16> * 3199044596370769<16> * 856911694717373521<18> * 39100004771663422768561<23> * 139605620471156707643496001<27> * [1404258924...<11604>] * [2984905230...<23288>] * [1130346985...<69974>] (0.14%)
10^105013+1 = 1000000000...<105014> = 11 * 1746533 * 425734115232893<15> * 909090909090909091<18> * 11904289208520748651<20> * [4372472127...<5501>] * [2583772266...<99454>] (0.06%)
10^105014+1 = 1000000000...<105015> = 29 * 101 * 281 * 521 * 2309 * 810109 * 1871789 * 28563809 * 121499449 * 129377249 * 34428262901<11> * 654721485601<12> * 272177565333718069<18> * 306332673158836861<18> * 607382405485761343309<21> * 1900381976777332243781<22> * 3571618567996393297210217238290456648947344377957590363519828421<64> * 431916413820617754546053476804635449461410533962843828981966782964481<69> * [7980627608...<1097>] * [1009999999...<6913>] * [1586564736...<13790>] * [3466270937...<82937>] (0.27%)
10^105015+1 = 1000000000...<105016> = 7 * 11 * 13 * 211 * 241 * 2161 * 9091 * 254598367 * 35859766093<11> * 35903718371<11> * 79844360147921<14> * 1561479950925433052464289<25> * [5821982591...<6976>] * [1203637033...<13982>] * [3837113703...<27976>] * [9100090999...<56000>] (0.08%)
10^105016+1 = 1000000000...<105017> = 17 * 5882353 * [9999999900...<105008>] (0.01%)
10^105017+1 = 1000000000...<105018> = 11^2 * 23 * 4093 * 8779 * 286411 * 1775743 * 147653903 * 1735931011<10> * 624800454188891<15> * [2860857152...<9520>] * [4291561022...<95443>] (0.05%)
10^105018+1 = 1000000000...<105019> = 101 * 829 * 1289 * 9901 * 426161 * 1569889 * 57339829 * 129872261 * 18371524594609<14> * 728075402333281<15> * 536430531035337769<18> * 549305648070367709<18> * 274951523481980578889<21> * 757108543129939106221<21> * 1406013164129239600229795221<28> * 4181003300071669867932658901<28> * 281068563056996594358039301259861<33> * 19108466176791400681292709171992566565029<41> * [5472962280...<1444>] * [7183424848...<3013>] * [7776872383...<33432>] * [2371626575...<66858>] (0.26%)
10^105019+1 = 1000000000...<105020> = 11 * 42007601 * 127224217361<12> * [1701020888...<105000>] (0.02%)
10^105020+1 = 1000000000...<105021> = 73 * 137 * 4721 * 7121 * 158777 * 1676321 * 14681441 * 37261097 * 64986377 * 395026241 * 5964848081<10> * 6218964172073<13> * 233279851855441<15> * 880001921168401<15> * 3410758635375200561<19> * 66491054987806942321<20> * 118638175449391414217<21> * 205634535002357125750465106981645977<36> * 32394937980403032343941480318880086318307142570248235727782772042697<68> * 36837015057313006096634536795587748230336921494253255771361450341226561526611901358724245001042863132758337028749847212746321<125> * [2581359359...<292>] * [2118407117...<925>] * [1634883885...<1363>] * [4130146577...<20401>] * [4286268196...<81650>] (0.37%)
10^105021+1 = 1000000000...<105022> = 7^2 * 11 * 13 * 19 * 127 * 2689 * 23339 * 52579 * 90019 * 459691 * 909091 * 1043543 * 5274739 * 23914783 * 128475691 * 5125534903<10> * 117344047451<12> * 8591403930533<13> * 19376496164329<14> * 41743295813099<14> * 1578834304907667487<19> * 12810721360654110264005147419<29> * 189772422673235585874485732659<30> * 84408902476969038623581315231411<32> * [1068340718...<1610>] * [1016241132...<3273>] * [9071816420...<9974>] * [4713140622...<9992>] * [4486254628...<19966>] * [9990010000...<59976>] (0.22%)
10^105022+1 = 1000000000...<105023> = 101 * 79186589 * [1250336733...<105013>] (0.01%)
10^105023+1 = 1000000000...<105024> = 11 * [9090909090...<105022>] (0.00%)
10^105024+1 = 1000000000...<105025> = 3457 * 12289 * 3570817 * 418725889 * 1265011073<10> * 10152127315969<14> * 15343168188889137818369<23> * 515217525265213267447869906815873<33> * 338579887181973006729167651681190977281<39> * 16603249990114694613009401045119923580957837937462177950368477911534904193<74> * [2758515005...<34925>] * [1000000000...<69889>] (0.20%)
10^105025+1 = 1000000000...<105026> = 11 * 251 * 5051 * 9091 * 75619 * 193247 * 529327 * 2520601 * 269074051 * 110047043441<12> * 201368255411<12> * 553881055051<12> * 46842396016601<14> * 78875943472201<14> * 47962315664132037883886339559337823<35> * [1216881886...<4139>] * [2133884268...<16776>] * [2662023657...<83974>] (0.13%)
10^105026+1 = 1000000000...<105027> = 101 * 61781 * 617801 * 3150781 * 28559389 * 1491383821<10> * 39984139561<11> * 2324557465671829<16> * 533829148917756144449<21> * [1215304334...<6135>] * [3205554432...<98810>] (0.08%)
10^105027+1 = 1000000000...<105028> = 7 * 11 * 13^2 * 157 * 859 * 6397 * 70019 * 216451 * 1890487 * 166788263 * 659892721 * 1058313049<10> * 71178849967<11> * 388847808493<12> * 84369848558917<14> * 183008218825360328809<21> * 15057589219885885523681437<26> * 135249109434608436666375395383<30> * [5450568839...<2684>] * [7440233749...<5276>] * [1571002156...<32300>] * [4813574491...<64602>] (0.16%)
10^105028+1 = 1000000000...<105029> = 73 * 137 * 617 * 1489 * 7841 * 31249 * 133673 * 270073 * 401017 * 529742137 * 4112533657<10> * 6850590209<10> * 640543322297<12> * 3699790640393<13> * 27908132670449<14> * 687793452500617<15> * 41169904618584457<17> * 127522001020150503761<21> * 384705444182230291105649<24> * 53241089690155545084545617441<29> * 16205834846012967584927082656402106953<38> * 780010410791719540565140196582552053062384449<45> * 262533769339473652474903068060921237392956780959193<51> * 97645954668018846467287180866355758374263120864803042536883990817097<68> * 48651926154169704306969810270043128092917988274505675071805716365801863993<74> * 494989576335933678241287643493876779780477962643805901339815106786961691436729452816424866873<93> * [3809033795...<390>] * [3200422413...<716>] * [1000099999...<1201>] * [3945434711...<2618>] * [8562017470...<7171>] * [1307618129...<13164>] * [9999999999...<79200>] (0.54%)
10^105029+1 = 1000000000...<105030> = 11 * 3557 * 3991103 * 468313561 * 857772733 * 1094479651<10> * 1125629957<10> * 11086861241<11> * 67367542397<11> * 4919662548769<13> * 616896149073719728613<21> * 10860110813777339731289<23> * 36099531273603138218699301565567581705151216702113889<53> * 2014736089669888940425352477546278092192268265858033129<55> * [1430216258...<753>] * [5053075911...<104047>] (0.22%)
10^105030+1 = 1000000000...<105031> = 61 * 101 * 109 * 181 * 541 * 3541 * 9901 * 27961 * 46681 * 77801 * 153469 * 329941 * 4188901 * 11413261 * 26887681 * 39526741 * 49229101 * 68189581 * 691895629 * 10647311221<11> * 12508652881<11> * 68050337401<11> * 999999000001<12> * 2278729969741<13> * 3534211512961<13> * 9426765716989<13> * 846004937754601<15> * 688316384378681701<18> * 4999437541453012143121<22> * 13029637224192121671301<23> * 25418117865051413216461<23> * 1105097795002994798105101<25> * 4525238125839080711633701<25> * 59779577156334533866654838281<29> * 140711654286315667252374629881<30> * 45336212631682365057031059082321<32> * 12732967786842381210845984691402901<35> * 1763722658625922307781888583674044509<37> * 1355157068675915381446032476103133130496209<43> * 141849229571534821256183437819902857798933927761<48> * 902957305935680526667861848839993076071896366838581<51> * [4780780164...<653>] * [4404306973...<1509>] * [4979873327...<1511>] * [8628041424...<1535>] * [1797955435...<3076>] * [8648257877...<3079>] * [5686125725...<4625>] * [4693896677...<9285>] * [1037911513...<9303>] * [3719175335...<13961>] * [9999000049...<27936>] * [1000100005...<27937>] (0.59%)
10^105031+1 = 1000000000...<105032> = 11 * [9090909090...<105030>] (0.00%)
10^105032+1 = 1000000000...<105033> = 17 * 11057 * 134369 * 630193 * 5505889 * 5882353 * 940611313 * 1054591021249<13> * 31735795756961<14> * 2381729289617500769<19> * 139227014073865876657<21> * 234504682039452385472228601837391217101263308508305719138749905156540866534427238711769806579683320997636600725852987602204289<126> * [5266342859...<5462>] * [1504673803...<99343>] (0.22%)
10^105033+1 = 1000000000...<105034> = 7 * 11 * 13 * 4397 * 208729 * 928813 * 1697477 * 3641773 * 5156432569<10> * 24408664087<11> * 87550347583<11> * 386935254007<12> * 46362291155014458662283849816585346934219100138220618375160747209<65> * 1966032824334071843648738236716922141567459089390154109618864643162638011<73> * 9755872853901756680890615403191792297388117293582105055568357694889056982187114874692197915708047<97> * 3163436454570849606598523279232435654261498358914446832597630787726928974906200018053239752601326111930021696487<112> * 253093223170974042778078357371021297932776085452885919633889326945731506967967386342851064208779696417921593338374442943683661653<129> * 56772494575417679209143612613936371702842084190817259161711159777577563483338093894447335028905724214106839545113870547643014663862360146330362411<146> * [1098901098...<445>] * [1099999999...<34633>] * [9100000000...<69264>] (0.66%)
10^105034+1 = 1000000000...<105035> = 101 * 15755101 * [6284307602...<105025>] (0.01%)
10^105035+1 = 1000000000...<105036> = 11 * 9091 * 30011 * 909091 * 4147571 * 695751841 * 5424487561<10> * 1890981867251<13> * 265212793249617641<18> * 988447161122855561<18> * 62696825683312243481<20> * [9090909090...<3000>] * [1090310378...<11949>] * [1581023326...<17992>] * [4807555834...<71988>] (0.10%)
10^105036+1 = 1000000000...<105037> = 73 * 137 * 6932377 * 99990001 * [9999000099...<35008>] * [1442650911...<70010>] (0.02%)
10^105037+1 = 1000000000...<105038> = 11 * 475817611 * 1377481057103<13> * [1387015030...<105016>] (0.02%)
10^105038+1 = 1000000000...<105039> = 101 * 349 * 14489 * 38861 * 618049 * 11811806375201836408679635736258669583187541<44> * [6833453032...<3616>] * [1009999999...<101361>] (0.06%)
10^105039+1 = 1000000000...<105040> = 7 * 11^2 * 13 * 19 * 23 * 4093 * 6367 * 8779 * 52579 * 140053 * 7609493 * 95623687 * 147054601 * 265175731 * 447657121 * 599144041 * 3431764183<10> * 7093127053<10> * 11700504289<11> * 183411838171<12> * 358203367567<12> * 3598172567881<13> * 2134117774514419<16> * 3886779526305743<16> * 45221010143496139<17> * 958906354844019943<18> * 120525923108734249411<21> * 141122524877886182282233539317796144938305111168717<51> * [9090909090...<1060>] * [1725932305...<2117>] * [1687300353...<6281>] * [2885595182...<10554>] * [8871828870...<21170>] * [5806076125...<63582>] (0.26%)
10^105040+1 = 1000000000...<105041> = 353 * 449 * 641 * 1409 * 42017 * 69857 * 232961 * 1260481 * 1634881 * 18453761 * 19725473 * 404904961 * 989476801 * 40336502753<11> * 83656903777<11> * 947147262401<12> * 754651871841089<15> * 49190086416352961<17> * 22916502761856583361<20> * 208834279440434181761<21> * 429692847608312193093180411944321<33> * 349954396040122577928041596214187605761<39> * 33857126287532892390194544682750180705056727269149496594755320455272870740814407021435721731880166393643173336787745221520888878951616858121601<143> * [1873132229...<744>] * [2781890864...<1557>] * [1195197009...<6363>] * [2379989052...<19196>] * [7933479362...<76794>] (0.37%)
10^105041+1 = 1000000000...<105042> = 11 * 47 * 139 * 2531 * 82207 * 127877 * 37394597 * 549797184491917<15> * [8647808741...<4556>] * [2941601429...<100445>] (0.04%)
10^105042+1 = 1000000000...<105043> = 29 * 101 * 281 * 1709 * 9901 * 50021 * 68389 * 76129 * 190321 * 226549 * 390889 * 1587221 * 4801921 * 18830701 * 121499449 * 139723081 * 367470209 * 2834820061<10> * 3812801341<10> * 81183810541<11> * 6888581000669<13> * 8596906521589<13> * 88304990192929<14> * 1163608454098729<16> * 188991646284391469<18> * 4458192223320340849<19> * 420941410704575706289<21> * 12825306489097494993329<23> * 216667590115007379484962361<27> * 880632750113310685046593549<27> * 2418666002101476599410229029<28> * 101444162656037151745878558385892753596849<42> * 83991579034720609392656974112397395006880745482841386049<56> * 75743388768260974116327848920184337528059461788181539337429709<62> * 1305704182448226909845888790598975114740359397093421223355030629345156521<73> * 1447745997018511893740076606031686237538345362413531560645573104006506749609<76> * 554997773096088237513524958962449928676083464040648051002127127164539795044109<78> * 1087990925195463452802538049940594096989130726971208253428665898558089768698552971751226781442226809<100> * [1967121041...<464>] * [2438197887...<678>] * [1307802079...<921>] * [1249081916...<1413>] * [2931158036...<4783>] * [9635781556...<9571>] * [9900990099...<28800>] * [1009998990...<57601>] (0.78%)
10^105043+1 = 1000000000...<105044> = 11 * 103 * 1259 * 4013 * 7253 * 1101533 * 63716179 * 452093717 * 3679891093<10> * 9107487619<10> * 21993833369<11> * 3586448252081<13> * 422650073734453<15> * 296557347313446299<18> * 116011189311149998139<21> * 135854006382839702339<21> * 272828068791212993437<21> * 44499821403524522683537635484635769<35> * 301525294918950432087520298129941558711551656822567015411<57> * 14950128044255312629457887411604300692966728690551568705030373<62> * [1793204977...<541>] * [4963733236...<2607>] * [3282155324...<5957>] * [9090909090...<95616>] (0.31%)
10^105044+1 = 1000000000...<105045> = 73 * 137 * [9999000099...<105040>] (0.00%)
10^105045+1 = 1000000000...<105046> = 7 * 11 * 13 * 211 * 241 * 2087 * 2161 * 5641 * 6299 * 9091 * 20681 * 42019 * 49171 * 344887 * 1722739 * 7017007 * 9127213 * 10924681 * 21997411 * 2930436343<10> * 8211157561<10> * 52460271343<11> * 269809754281<12> * 452421222259<12> * 987114797971<12> * 2079121605721<13> * 2812717133801<13> * 4855067598095567<16> * 293317433672054641<18> * 1160803383934463712259<22> * 9615683031450065714899<22> * 110726795964772912224652481<27> * 297262705009139006771611927<27> * 44174683273406320528355293250333371411<38> * 165459609176797865866134365329792270635207840943<48> * 30073566270559048948142559741512708796590524703892560552659<59> * 2737869430252705432917439814481839640694075521336313521691938014929169431049<76> * 4286364887150220673583225059177107721806065475972215552125258086068959357115762795701840175683004019170941959169708082929486830943679876008361716880663960188314299305481<169> * 3986607281...<263> * 2060024051...<331> * [9934261987...<566>] * [2338520447...<1151>] * [1099999999...<6809>] * [3415023935...<13588>] * [3936236764...<27210>] * [1019008573...<54446>] (1.22%)
10^105046+1 = 1000000000...<105047> = 101 * 1061 * 5051749 * 1328211059009379241<19> * 245391150214875249502685807421982149521<39> * 75277048352808729626679875852901448034540173569840168229<56> * [7454380109...<1962>] * [1009999999...<102961>] (0.12%)
10^105047+1 = 1000000000...<105048> = 11 * 293 * 10826684964539959837294043117<29> * 75673683062427966236317236967<29> * 6652742443560007068799568102809<31> * 286578888976194997999922592330908602103011<42> * [1805767085...<1379>] * [1099999999...<103537>] (0.13%)
10^105048+1 = 1000000000...<105049> = 17 * 8929 * 210097 * 5882353 * 9999999900000001<16> * 148186855597731909121<21> * 111994624258035614290513943330720125433979169<45> * [4759706183...<11659>] * [6748236919...<23308>] * [1000000000...<69985>] (0.09%)
10^105049+1 = 1000000000...<105050> = 11 * 3491 * 3613 * 39089 * 360169 * 909091 * 9874607 * 57009401 * 2182600451<10> * 14142956969<11> * 26514577699<11> * 212057054080446499<18> * 120525789336558438197<21> * 7306116556571817748755241<25> * 23601245485020406766977499<26> * 56339801155914588925636409<26> * 2316964919549130262002685472408059<34> * 3361543170437980531667161105832265329<37> * 35927713091621749764338565947172319082597<41> * 6798855735656881396055959081077830421892567<43> * 1752088930844817629923654387608505754917704006063078641900632201094124478044555887071171166365583553287053602700568010683873135238140340718711012045219107751867190380847<169> * 2156200781...<268> * [9134155298...<1999>] * [3054121815...<14611>] * [2455062788...<87669>] (0.73%)
10^105050+1 = 1000000000...<105051> = 89 * 101 * 661 * 3541 * 3821 * 18041 * 22921 * 27961 * 38201 * 60101 * 77929 * 106961 * 148721 * 210101 * 267401 * 932081 * 2471701 * 6188401 * 6387041 * 7019801 * 7143401 * 486904001 * 1052788969<10> * 1056689261<10> * 1121407321<10> * 2735712101<10> * 4526394401<10> * 8200160981<10> * 1707468317701<13> * 2297137189481<13> * 14103673319201<14> * 123273472697621<15> * 761837274709541<15> * 828935198867381<15> * 1169085620897921<16> * 1680588011350901<16> * 15102137441952601<17> * 133157371602664723858501<24> * 212890462662706052906860201<27> * 450118169827182277613811301<27> * 1395900370916327245555441901<28> * 49094895915282817628267672401<29> * 253663248603545053655720266501<30> * 36380545029953205956377406702261<32> * 13968004259021399202183274452648726337203224861<47> * 3668996113223183559833250396711179251902642533701<49> * 16110638360992570900426742492996398052881460699696765138501<59> * 126239370797267198368490274128272780260464262689211651471701<60> * 800107125395206239935430877758693441879338279715986854168759198643184320615090047781735227652512476232674239391299478587112475352432305219301<141> * [8503930644...<324>] * [4797750053...<725>] * [1442049400...<726>] * [2123661595...<3755>] * [6417721452...<3774>] * [2213689165...<3787>] * [1388226165...<7571>] * [7822925437...<7590>] * [3981854708...<37971>] * [3618983884...<37991>] (0.80%)
10^105051+1 = 1000000000...<105052> = 7 * 11 * 13 * 11059 * 43321 * 1458973 * 19353211 * 81831481 * 88464001 * 814903342249<12> * 667234687633420103<18> * 909090909090909091<18> * 7460555176605349477<19> * 1530685332944652546877<22> * 102527361354613106010527<24> * 753201806271328462547977919407<30> * 323338434891034089173475790125293<33> * 27422699366054621683295623079471066588881<41> * 120993298365129876163173210302328063293143<42> * 5140192330491733331414521378576126342075768810496980939<55> * 3223374037812410694155224757327965568352798312019085047331<58> * 9082330292251962304688193151167683450110136179543368546373275157823981917087560492592244850476097147293654306654509712541945987920778472370936173919077<151> * 1393193546...<226> * [8463605470...<650>] * [8123443923...<1699>] * [1009762958...<3441>] * [1498723040...<32815>] * [9999999999...<65664>] (0.75%)
10^105052+1 = 1000000000...<105053> = 73 * 137 * 2521249 * [3965891548...<105042>] (0.01%)
10^105053+1 = 1000000000...<105054> = 11 * 859 * 48487 * 126354517 * 1058313049<10> * [1483854194...<8068>] * [1099999999...<96961>] (0.02%)
10^105054+1 = 1000000000...<105055> = 101 * 9901 * 210109 * [9900990099...<35016>] * [4807023925...<70027>] (0.01%)
10^105055+1 = 1000000000...<105056> = 11 * 9091 * 42023 * 6975653 * 1438833281<10> * 473779854122867235607<21> * [6545740784...<20978>] * [7645006649...<84031>] (0.04%)
10^105056+1 = 1000000000...<105057> = 3137 * 19841 * 210113 * 976193 * 4159361 * 6187457 * 9796124114561<13> * 834427406578561<15> * 20252123110979777<17> * 886006033880598401<18> * 15013698733066528702721<23> * 43094132621494054981889<23> * 1444413152529622882986881<25> * 417067672004431016027567793820801<33> * 707285850117624346067550937755073<33> * 3389990665995333265366836872252020333482336548986397735456228533820597306799173793346530834741952645058293656375786341106265537<127> * [8348926887...<1300>] * [5474238245...<2043>] * [1020811892...<12660>] * [4759343781...<88699>] (0.34%)
10^105057+1 = 1000000000...<105058> = 7 * 11 * 13 * 19 * 1459 * 52579 * 2689979 * 7587451 * 70541929 * 2458921051<10> * 14175966169<11> * 36824229451<11> * 456502382570032651<18> * 5258627673065935183<19> * 610600386089858349939139<24> * [3379546491...<1290>] * [1098901098...<2593>] * [2508798348...<7751>] * [2715603329...<23318>] * [1000000000...<69985>] (0.12%)
10^105058+1 = 1000000000...<105059> = 101 * 1680929 * 439870071709<12> * [1339074815...<105039>] (0.02%)
10^105059+1 = 1000000000...<105060> = 11 * 6779 * 36410456058973<14> * 834756340117127<15> * 13559216338281405848432959339<29> * 37678627080143135463815804543<29> * 909090909090909090909090909091<30> * [7209180552...<3314>] * [1317749799...<101626>] (0.11%)
10^105060+1 = 1000000000...<105061> = 73 * 137 * 1361 * 2473 * 2857 * 7417 * 519121 * 669913 * 924529 * 1676321 * 13266937 * 15927097 * 99990001 * 152533657 * 787131281 * 4345108561<10> * 5964848081<10> * 17634976081<11> * 61317136579273<14> * 1664644599118801<16> * 10122798208400401<17> * 1119527384827710553<19> * 107106755963772326897281<24> * 281514373105565103181201<24> * 475792433181977423341441<24> * 53043011765949537815976769<26> * 38450569246994805922293218161<29> * 7557466138018613887752839718241<31> * 100009999999899989999000000010001<33> * 215673159546393078896031528917465041<36> * 11473211017374556816173911142176636257510145503232608049<56> * 65552746171882583264230070868884366877803237222654400793<56> * 3706128023114119218916379460291345996769984434163189932241<58> * 44432384794221343755897441742032531086615578692097502509412995439256236377<74> * 2518939361843542777324186815596987183284761640260249316508901269783757152238017118245918288297154753422552473463669614122198237833353657872273444231835817866237166090882172690592655745121<187> * [3383377151...<319>] * [2751302649...<446>] * [5452441716...<809>] * [2301668614...<1623>] * [7613390926...<3178>] * [1431352757...<6492>] * [1023854119...<13036>] * [9999000099...<26112>] * [1000099999...<52225>] (0.79%)
10^105061+1 = 1000000000...<105062> = 11^2 * 23 * 4093 * 8779 * 114613 * 2311343 * 1074521883601<13> * [7931830674...<9545>] * [4429074867...<95482>] (0.03%)
10^105062+1 = 1000000000...<105063> = 101 * 1049 * 3209 * 14149 * 75389 * 23533889 * 33887081 * 45401981 * 3332370174061<13> * 322185369274849<15> * 1345744499...<224> * [4092615328...<792>] * [1287877139...<103981>] (0.28%)
10^105063+1 = 1000000000...<105064> = 7^2 * 11 * 13 * 127 * 2689 * 10007 * 60037 * 210127 * 420253 * 459691 * 909091 * 640556713567<12> * 796361652443183<15> * 124641491115000367051<21> * [1513158536...<4994>] * [8816495125...<9984>] * [5131140339...<29980>] * [4330714715...<60019>] (0.08%)
10^105064+1 = 1000000000...<105065> = 17 * 9137 * 5882353 * 991068712001<12> * 120553054891405588545727822543281066162803459003848166118314367809<66> * 829510285658710111215121966308351445187741335558528775675039806142270659943202818322753067885238020768017585089<111> * [1094451121...<4557>] * [1009011784...<100309>] (0.19%)
10^105065+1 = 1000000000...<105066> = 11 * 9091 * 84053 * 210131 * 562555203011<12> * 29904912561851<14> * [6429044226...<20982>] * [5234777353...<84043>] (0.04%)
10^105066+1 = 1000000000...<105067> = 101 * 521 * 3121 * 9901 * 116741 * 1082989 * 4202641 * 5370041 * 14741569 * 86644429 * 148750109 * 302590081 * 434973241 * 1047678641<10> * 5539645261<10> * 14233727449<11> * 35076774409<11> * 999999000001<12> * 53397071018461<14> * 454314878228367241<18> * 1900381976777332243781<22> * 11761957262582764997761<23> * 2886354458906795587641947282821<31> * 6060517860310398033985611921721<31> * 117609798518967483441609863271124249<36> * 722898512786203801042951920020842806081459364277150501545096737658329011666631945714409<87> * [2804642194...<852>] * [1561871622...<1765>] * [1130708675...<5354>] * [3604680938...<10727>] * [1142716284...<21497>] * [1807840221...<64489>] (0.37%)
10^105067+1 = 1000000000...<105068> = 11 * 59 * 7247 * 21739 * 434761 * 1739041 * 23890063 * 23955277 * 296263253736708933013<21> * 154083204930662557781201849<27> * [1078335759...<3575>] * [4591890129...<101409>] (0.08%)
10^105068+1 = 1000000000...<105069> = 73 * 137 * 5673673 * 18912241 * 33621761 * [2771588947...<105043>] (0.02%)
10^105069+1 = 1000000000...<105070> = 7 * 11 * 13 * 210139 * 26407343 * 29839597 * [3442568641...<35015>] * [1752503899...<70032>] (0.02%)
10^105070+1 = 1000000000...<105071> = 29 * 101 * 281 * 421 * 761 * 1901 * 2129 * 3041 * 3541 * 5689 * 27961 * 74861 * 85121 * 102701 * 600401 * 951161 * 1260841 * 1531021 * 3471301 * 13489841 * 21854561 * 28158761 * 73700621 * 104871869 * 121499449 * 257618369 * 261234041 * 417332341 * 475786981 * 928320469 * 10930852381<11> * 14691812549<11> * 60368344121<11> * 30217952750581<14> * 156324221568569<15> * 866000393505661<15> * 9918478257230341<16> * 722817036322379041<18> * 1369778187490592461<19> * 99834305852659737721<20> * 618060764930741065621<21> * 848654483879497562821<21> * 1455690913618419154081<22> * 1728095716605342484009<22> * 486348452021468471747321<24> * 1793173363686071609122021<25> * 9881484126026806397682037921<28> * 11203578202730731208756592781<29> * 14671834360812557354682189761<29> * 780548018657747948342675331841<30> * 47214080461086265171764701218021<32> * 507998564486483655774880939989709<33> * 458192181720740635773018630313952996833801<42> * 20547226778782170120539430083689730394727567536361<50> * 646301962916453492325383567253991760083617720844121<51> * 3845225778323318739662926792353902964405172909187389<52> * 530084044837791203267418958734478905892862260111193658629289735929681<69> * 4859378131018035310593858490137688922829468686775068797577396520148545290055799616742354372616293735785798821073310265896384033181<130> * 3529967022...<259> * 1924817940...<285> * [2934901481...<400>] * [4799770637...<424>] * [3920527887...<928>] * [1502907556...<1822>] * [3566535791...<1856>] * [4170757736...<2746>] * [3525914231...<5540>] * [1731776158...<5588>] * [9900990099...<16848>] * [4198889310...<33675>] * [1293499547...<33690>] (1.48%)
10^105071+1 = 1000000000...<105072> = 11 * 210143 * [4326058489...<105065>] (0.01%)
10^105072+1 = 1000000000...<105073> = 97 * 353 * 449 * 641 * 1409 * 11969 * 69857 * 123553 * 206209 * 4913921 * 14710081 * 21396481 * 157092193 * 167905057 * 1481572513<10> * 66554101249<11> * 470909313601<12> * 20285656752769<14> * 75118313082913<14> * 249950168274049<15> * 5825202161833364929<19> * 1777143200513756811697855307873<31> * 361057759540097288072937247979725352972055181853408265699800478521559326591153094457376181755912540092512773699689532234798987224827675649<138> * [8093692585...<315>] * [2417686921...<3121>] * [8023182029...<6310>] * [1000000000...<31681>] * [7985068631...<63317>] (0.31%)
10^105073+1 = 1000000000...<105074> = 11 * 420293 * 1846703 * 2460913261979<13> * 6002893200517<13> * 430331915171209585201<21> * 523661705392754764972834211810001059<36> * 2362816652618921835221783244380759723147543115253<49> * 552767636859084183383203313197359593414627006389177727<54> * 17360270948380236765442123580448180934246742941840774929827069381097446101825710313953633305039247538221205037054245870292654737645806593390849<143> * [8758587490...<457>] * [1771673155...<104278>] (0.32%)
10^105074+1 = 1000000000...<105075> = 101 * 96668081 * 40882343106721<14> * 17591256444003575964569<23> * 2421825498886875706568085804897442030525256100180294305383840413574930314582991559155197335837338973747281007884658776715423100656032123324942160620509168628560523446063044557248001192491268292405581<199> * 5628358685...<958> * [1044812299...<103873>] (1.14%)
10^105075+1 = 1000000000...<105076> = 7 * 11 * 13 * 19 * 211 * 241 * 251 * 2161 * 5051 * 9091 * 14011 * 25219 * 29611 * 52579 * 70051 * 270001 * 3762091 * 4483201 * 11376121 * 349367371 * 7001239717<10> * 10467319321<11> * 19540657651<11> * 32005004401<11> * 214459588081<12> * 8985695684401<13> * 78875943472201<14> * 288403685134531<15> * 56789487201858841<17> * 22461351192749200810201<23> * 44109481118967125300328230419458481<35> * 10000099999999989999899999000000000100001<41> * 3703689986333387654119799556297939637260602734804685908570705293684097466301976659345706127014344391317072899730001<115> * [2496865915...<449>] * [7130899518...<889>] * [1099989000...<1865>] * [5669323870...<2782>] * [2252038427...<3710>] * [1417639856...<9287>] * [7836407925...<11146>] * [5117483853...<18630>] * [9999999999...<55920>] (0.38%)
10^105076+1 = 1000000000...<105077> = 73 * 137 * 4593922721<10> * 86403431489<11> * 456439977353<12> * 225110375793833<15> * 573152043176300513880189621570713<33> * 1710994186565875947530228779349674860535337<43> * [1481812905...<368>] * [1744563282...<928>] * [9670840689...<103656>] (0.12%)
10^105077+1 = 1000000000...<105078> = 11 * 103 * 3533 * 4013 * 909091 * 1220426089<10> * 1868879293<10> * 1930808419<10> * 21993833369<11> * 340572420091<12> * 656617346533<12> * 386236903818131<15> * 23341218662287312957<20> * 25978377565113884423<20> * 5673320472670315859129<22> * 1643622699144379263753059<25> * 204165070112138680557543776339<30> * 1796709486977412994959502244801<31> * 103746647830421551242486430622636901002236971549990724717454338463<66> * [1588577921...<815>] * [2840140628...<5250>] * [2073954472...<14064>] * [4065233830...<84649>] (0.29%)
10^105078+1 = 1000000000...<105079> = 101 * 9901 * 1677004369<10> * 1033593699289<13> * 303066247254931709383875352640800481<36> * 99707249976318584149879765693999680809341<41> * 23023967955265160767768376873521136169786061<44> * 4300297028838474156015268798064619519844286165272568941158694953418333634388515222398381949374346543672407516659353137441<121> * 9771721622...<316> * 3276531267...<344> * [6022637797...<831>] * [1009999999...<34441>] * [9901000000...<68880>] (0.88%)
10^105079+1 = 1000000000...<105080> = 11 * 859 * 1889 * 89051 * 96997 * 206597 * 364393423 * 1058313049<10> * 117651465889<12> * 441651480271681<15> * 676321006412903<15> * 18316411815419849<17> * 385298849463275971<18> * 1090805842068098677837<22> * 11418169791264953444209<23> * 3791788496233413454430277601<28> * 218801242136856556680173235529<30> * 839880464810966512796119739561<30> * 4411922770996074109644535362851087<34> * 11609661475352502743102554686451841<35> * 3244569580634956101009646791013296826459859399717968478099<58> * [1309710186...<667>] * [1189514432...<1539>] * [1606927456...<7850>] * [9090909090...<94656>] (0.35%)
10^105080+1 = 1000000000...<105081> = 17 * 593 * 126097 * 5070721 * 5882353 * 213022721 * 223689761 * 655278881 * 2558434561<10> * 279188733281<12> * 8121474773441<13> * 223750448785873<15> * 3465474261087841<16> * 139524858388268079841<21> * 2850556569628522406513<22> * 3942722086472322467801441<25> * 19721061166646717498359681<26> * 79811762757311658061523042881<29> * 2922137698079622949054068972641<31> * 155744533524951745226433500587796122871137105818580913<54> * 1686340623...<286> * [7215094336...<451>] * [4250714587...<1059>] * [7456420535...<2195>] * [7930402864...<20155>] * [5466079402...<80620>] (0.57%)
10^105081+1 = 1000000000...<105082> = 7 * 11 * 13 * 129529847 * 64277211255241<14> * [7018389430...<35018>] * [1709627840...<70039>] (0.02%)
10^105082+1 = 1000000000...<105083> = 101 * 90790849 * [1090527317...<105073>] (0.01%)
10^105083+1 = 1000000000...<105084> = 11^2 * 23 * 4093 * 8779 * 95531 * 552677 * 298693693 * 10010290827891157<17> * 2670502781396266997<19> * 131293689927974865167<21> * 3404193829806058997303<22> * 1897889204927096509169809<25> * 69606016705406484991000471515023784726122029891<47> * 110421163951010447109232550481508448746817791459<48> * 1134592082241812086025433183314893126820787225096226178690913133518090766822711174696961498979544523242604228920675194370887660714303521711888923919224666398211<160> * 5290781804...<345> * [1098869172...<2305>] * [6067049044...<9251>] * [9090909091...<92800>] (0.69%)
10^105084+1 = 1000000000...<105085> = 73 * 137 * 3169 * 7841 * 15569 * 98641 * 270217 * 360289 * 2171737 * 6565249 * 20086057 * 53502769 * 99990001 * 189211249 * 856584721 * 1183035673<10> * 3101939569<10> * 11189053009<11> * 41593295521<11> * 7355672424073<13> * 3199044596370769<16> * 283240623330235201<18> * 530778263673847121<18> * 603812429055411913<18> * 39723249023530955569<20> * 87507637690520617249<20> * 127522001020150503761<21> * 148029423400750506553<21> * 14657208625219746739249<23> * 7064204436768358634702473<25> * 72530073655361635735063513<26> * 111719278844858046576744217<27> * 855129794754529592795828161<27> * 1726290008991504500177463302688697<34> * 2834278778744573810273127918507017<34> * 579276943498154282123686999881829009033<39> * 84127549110077880819608858067897680511169<41> * 40455276360748528742442560829688448751215185778145671171534342753113<68> * [1000000000...<433>] * [1883837523...<535>] * [1612476040...<1052>] * [2589966719...<3255>] * [3784161573...<3274>] * [1625525552...<6601>] * [1449598851...<9877>] * [9326134697...<19821>] * [9999999999...<59616>] (0.59%)
10^105085+1 = 1000000000...<105086> = 11 * 9091 * 12484099 * 3153600851<10> * 6131877887<10> * 582185202223027262637911681<27> * [6468278737...<20963>] * [1099989000...<84065>] (0.06%)
10^105086+1 = 1000000000...<105087> = 101 * 132408361 * 8631764041<10> * 164188040419981<15> * [5276210780...<105052>] (0.03%)
10^105087+1 = 1000000000...<105088> = 7 * 11 * 13 * 47 * 139 * 2531 * 31051 * 2872379 * 86271859 * 94754969 * 435900877 * 438852451 * 1288786969<10> * 5603238841<10> * 222387488327<12> * 143574021480139<15> * 549797184491917<15> * 24649445347649059192745899<26> * [4314147317...<1503>] * [2902491275...<3028>] * [6834579621...<33468>] * [1619841470...<66951>] (0.13%)
10^105088+1 = 1000000000...<105089> = 257 * 15361 * 453377 * 55871187633753621225794775009016131346430842253464047463157158784732544216230781165223702155223678309562822667655169<116> * [9999999999...<104960>] (0.12%)
10^105089+1 = 1000000000...<105090> = 11 * 165931 * 2699129 * 21721265767<11> * 389747711489<12> * 81868129889761133<17> * 909090909090909091<18> * 2545625160453915281985967<25> * [2498982670...<5466>] * [5064161599...<99530>] (0.09%)
10^105090+1 = 1000000000...<105091> = 61 * 101 * 1861 * 3541 * 5209 * 6781 * 9901 * 27961 * 70061 * 459421 * 490421 * 910781 * 1387189 * 2049349 * 4188901 * 39526741 * 49168109 * 247517461 * 326579041 * 484586941 * 3990477481<10> * 52743988481<11> * 1045146112321<13> * 932418746803021<15> * 3088998523431181<16> * 26482637738395021<17> * 105966383429834881<18> * 132305743681936841<18> * 175355474714181315761<21> * 306993468333255153181<21> * 17395329114755487281341<23> * 184229701894783578759981901<27> * 22390769664507427965690714361<29> * 139716865184144864008269344660199946429<39> * 37677420311908637019589121589205677966961<41> * 295188553361058681059167605734159744284801<42> * 483128549554512237305554588359039822397307149685578249<54> * 1891014345342089253412148254805092014919223493735583702021<58> * 1387770812537486172424567765413032718466560432631753219117445147282909788805041<79> * 62554557765317517282085861045655294434955453111717816503072219942390838369658841<80> * 1329715195291029266573799498844265388019920296298263850406876176165288274222191365801336476705156746969347581<109> * 226813030797815731197778256645639265718556459184651841552579161651406131077524640644151258260029762686434793845331341<117> * 357640999964236257644576374235721183076427881763885411823611483852508851614756267658524373235935767676406423590000357641<120> * 2824060999717591075967240892404687941259531205309234679469076729737362327026207286077379271406382377859361759390002824061<121> * 2146644890017820932371428594631788567438802210652314972433604192953392329460076667088695100922984711653519922081763954795399076366216530380621<142> * [9258104828...<406>] * [1489454343...<445>] * [3576409999...<448>] * [1013204571...<865>] * 8076038158...<887> * [1115008604...<6687>] * [2835578729...<13414>] * [6829146270...<13422>] * [2998759955...<13426>] * [3952674100...<26880>] * [2555229609...<26881>] (2.11%)
10^105091+1 = 1000000000...<105092> = 11 * 909091 * 2963295967<10> * 28228193251<11> * [1086798931...<14993>] * [1099999890...<90073>] (0.03%)
10^105092+1 = 1000000000...<105093> = 73 * 137 * 13417 * 70313 * 79337 * 485041 * 1580801 * 69067441 * 118710721 * 1450900153<10> * 6578404633<10> * 2589644191044553<16> * 6559070566375577<16> * 85068812554399304208241<23> * 113311766739494741224979664857<30> * 2867443649364054475343041995521<31> * 169905327561162104198557246291921<33> * 277641151780258438310079109077611969<36> * 2645778409917434965592366282025495569<37> * 38993135849791157061060738352944105076217<41> * 632527440202150745090622412245443923049201<42> * 34908493290773859017057784025792153817150916131843303273<56> * 27851538931791182813585932285490596820623900747164894668499167046712090201879423948069199442816537475115348268729799177<119> * [6578289716...<1983>] * [1702157298...<2178>] * [2053364902...<7667>] * [6891583875...<92727>] (0.51%)
10^105093+1 = 1000000000...<105094> = 7 * 11 * 13 * 19 * 52579 * 280249 * 15343579 * 19397341967<11> * 1149815576863<13> * 513872008462386463<18> * [9120321145...<11648>] * [3921159750...<23347>] * [5673867837...<70037>] (0.06%)
10^105094+1 = 1000000000...<105095> = 89 * 101 * 7481 * 28559389 * 1052788969<10> * 1056689261<10> * 1491383821<10> * 16680041981<11> * 155623169021<12> * 966098874929<12> * 2324557465671829<16> * 4840973338799401<16> * 32811101141658884309<20> * 170628118252204587852516135010731906709<39> * [8675359172...<305>] * [5802672033...<522>] * [6358693290...<5565>] * [6055140635...<8950>] * [1024842317...<89589>] (0.16%)
10^105095+1 = 1000000000...<105096> = 11 * 9091 * 51076171 * 491087917 * 791532573590771<15> * [1851177513...<21010>] * [2720828813...<84050>] (0.03%)
10^105096+1 = 1000000000...<105097> = 17 * 929 * 2417 * 5569 * 23201 * 144961 * 182353 * 195697 * 210193 * 4465073 * 5559649 * 5882353 * 6421729 * 27535153 * 485626357393<12> * 9999999900000001<16> * 309408166106395361<18> * 10825430995573655349911905703088339464977<41> * 3114824318784041623490389014199610366824348609<46> * 4948797624251336428769758769452316283490536687091682910619153<61> * 369660333075000068856709492212454991557448976437779979434921265833995781602906344537626232976067313<99> * [2983528676...<398>] * [9224448217...<1174>] * [1638557220...<2377>] * [4757532410...<33595>] * [3631721203...<67193>] (0.34%)
10^105097+1 = 1000000000...<105098> = 11 * 2522329 * [3604172608...<105090>] (0.01%)
10^105098+1 = 1000000000...<105099> = 29 * 101 * 281 * 30029 * 121499449 * 1163014469<10> * [2834997227...<14999>] * [1009999999...<90073>] (0.03%)
10^105099+1 = 1000000000...<105100> = 7 * 11 * 13 * 3499 * 3967 * 7933 * 420397 * 490463 * 2784091 * 542731237 * 606750409 * 54137839415767<14> * 177729111023099<15> * 28631034152945432372729<23> * 917813298871770308465539<24> * 26526333976234009593263527<26> * 8558521377558885170560719135529<31> * 32428891213264191224745951834819424405467767<44> * 9090909090909090909090909090909090909090909090909091<52> * 4620246399...<608> * [3491877124...<1313>] * [4407484881...<34278>] * [3988384005...<68626>] (0.84%)
10^105100+1 = 1000000000...<105101> = 73 * 137 * 401 * 1201 * 1601 * 1676321 * 5492265353<10> * 5964848081<10> * 1981164764321<13> * 15220461177041<14> * 575297095650505818617<21> * 129694419029057750551385771184564274499075700947656757821537291527196801<72> * [3164556687...<4170>] * [3316614692...<16775>] * [1000000000...<84001>] (0.15%)