10^8201+1 = 1000000000...<8202> = 11 * 557 * 1889 * 2503 * 2017447 * 1090805842068098677837<22> * 4411922770996074109644535362851087<34> * 652065570931334169846518762110895357104035953330623783530923329412897765703841859492780362601926814638167836591846272150911969126521<132> * [5452435677...<7998>] (2.48%)
10^8202+1 = 1000000000...<8203> = 101 * 9901 * 60149 * 82021 * 5194601 * 10978356987121<14> * 253770743757988044961<21> * 713452817835102581027166769<27> * [4045716192...<2681>] * [4852374670...<5439>] (1.01%)
10^8203+1 = 1000000000...<8204> = 11 * 859 * 111478771 * 1058313049<10> * 7144726022423651<16> * 25275592878679576093<20> * 324340568278356513982411<24> * 14613343393682854047027841<26> * 215007779702918011813855565694983<33> * [6475491890...<531>] * [7527367080...<7535>] (1.67%)
10^8204+1 = 1000000000...<8205> = 73 * 137 * 7841 * 186906136873<12> * 2415893070703657<16> * 127522001020150503761<21> * [4138842162...<1153>] * [5350814139...<6997>] (0.67%)
10^8205+1 = 1000000000...<8206> = 7 * 11 * 13 * 211 * 241 * 2161 * 9091 * 16411 * 82051 * 172853 * 538249 * 19223434331<11> * 75082069044649<14> * 313387786340159371<18> * 174360739971008223500324917<27> * 801184237904695710568990687788865153927<39> * [4548108181...<478>] * [1170918513...<1061>] * [3509993203...<2167>] * [6758134197...<4359>] (1.73%)
10^8206+1 = 1000000000...<8207> = 89 * 101 * 1052788969<10> * 1056689261<10> * [9900990099...<744>] * [1009999999...<7441>] (0.27%)
10^8207+1 = 1000000000...<8208> = 11 * 59 * 1699 * 241117 * 154083204930662557781201849<27> * 61945573305222690279363663578823967<35> * 49019999488937337866558715558211303750925973449<47> * 151168348012920493188164812150408056175148228488823<51> * 4834389726736518293852244130660191969670797610633948645694761977558159678896763591712097243317272920296826630341374217553659008741548305187653<142> * [1099999999...<7897>] (3.79%)
10^8208+1 = 1000000000...<8209> = 97 * 353 * 449 * 641 * 1409 * 13249 * 16417 * 54721 * 69857 * 206209 * 273601 * 1067329 * 2084833 * 3031489 * 6199777 * 196482241 * 1252017313<10> * 66554101249<11> * 75118313082913<14> * 103925362958497<15> * 4438533681408097<16> * 9379643807081377<16> * 524026007884633812193<21> * 797518222951218747841<21> * 789462081785833165384754689<27> * 17234353857033761431483936704673<32> * 18327432034692069824540945222401<32> * 70716147055257711374123575798428608590219877617672752248112085912824160137075376116481<86> * 57060943016570586495482365104744705358198487226448999934446131233808207036744145484562761542433<95> * 5781027809699670982923066276961517370230745596931095554485247693107795262271528712840958833270594810840162223912128043002803675468602053212831240543425351530884548678958775494494557904673<187> * 6873201485...<237> * [8316396865...<515>] * [1299840488...<1677>] * [3819446258...<5127>] (10.85%)
10^8209+1 = 1000000000...<8210> = 11 * 195938995619<12> * [4639663004...<8197>] (0.15%)
10^8210+1 = 1000000000...<8211> = 101 * 3541 * 16421 * 27961 * 13469384918693909<17> * 391203714799042601<18> * [7350736621...<1624>] * [4396139873...<3259>] * [3576409999...<3280>] (0.58%)
10^8211+1 = 1000000000...<8212> = 7^2 * 11 * 13 * 47 * 103 * 127 * 139 * 967 * 2531 * 2689 * 4013 * 17851 * 20287 * 31051 * 459691 * 909091 * 2955961 * 1569936761<10> * 1868879293<10> * 2140571729<10> * 21993833369<11> * 35841441973<11> * 37633218241<11> * 291078844423<12> * 837042695779<12> * 9101279023169<13> * 69853926358357<14> * 143574021480139<15> * 549797184491917<15> * 3159640293425743<16> * 377526955309799110357<21> * 1203881882727712699967<22> * 5673320472670315859129<22> * 24649445347649059192745899<26> * 5718695187661520881538869249<28> * 23391028206417273637358380573<29> * 7775058388319250595762800404689<31> * 5342512091349500920639852868215477<34> * 473608692432035450677211738101499095303<39> * 3309383964775818489317002654646529291847<40> * 103746647830421551242486430622636901002236971549990724717454338463<66> * 50977541370231360097422604330793793064304571681703551061560590392185357117757553184746462337689256059548993949459969138428154776147453363952154496055738664500588151369161896201893451398241<188> * 8396109478...<226> * 1071693871...<275> * [1901064414...<665>] * [2536424178...<2102>] * [4978862110...<4195>] (15.23%)
10^8212+1 = 1000000000...<8213> = 73 * 137 * 32223889 * [3102977452...<8201>] (0.14%)
10^8213+1 = 1000000000...<8214> = 11 * 383 * 679961 * 4041943 * 57009401 * 955059211 * 2182600451<10> * 78087485383<11> * 332033464287125534441<21> * 7306116556571817748755241<25> * 3370796736173938091727422330529475982098304687381174810841794785884893349397<76> * 34355007868290105260151014423846456692008580727031775135173625397961285416300659<80> * [3312919082...<7960>] (3.09%)
10^8214+1 = 1000000000...<8215> = 101 * 149 * 3109 * 9901 * 111149 * 93003524269<11> * 708840373781<12> * 23653713304547869<17> * 669031686661427842829<21> * 2458116922144180177716949<25> * 40548140514062774758071840361<29> * 39704605233301365544142402346649<32> * 543309565743971477870075858731741<33> * 2228457285782705288389843210675909<34> * 35267115916388035942705181992852854614802588780637908577449241<62> * [1024605259...<2609>] * [1075228071...<5318>] (3.52%)
10^8215+1 = 1000000000...<8216> = 11 * 9091 * 9859 * 11161 * 131441 * 538481 * 15381767 * 47055521 * 2040723131<10> * 3925963357681<13> * 374266507558241<15> * 5167617497664851<16> * 3961565781890816563346704051<28> * 909090909090909090909090909091<30> * 1393949954184795816301811495623<31> * 9090909090909090909090909090909090909090909090909091<52> * 4857900688365130469291831549890842547443917376935406225054646143856579892970236911030721<88> * 2526777489848353556260463473948408884731636893126614892491647668607221061047888823703614571160074916162049747740059809135560066761697620048479221189904530026582759451<166> * [1105848980...<1512>] * [1847990943...<6221>] (5.89%)
10^8216+1 = 1000000000...<8217> = 17 * 1249 * 3793 * 16433 * 49297 * 300977 * 648961 * 5882353 * 33802522696443169<17> * 249227787818677482257<21> * 3041610227520272973007139521013344769<37> * 333632766438409011274705987026407639670042305536743429073<57> * [2564274301...<568>] * [6085316193...<7484>] (2.01%)
10^8217+1 = 1000000000...<8218> = 7 * 11^2 * 13 * 19 * 23 * 167 * 499 * 997 * 4093 * 8779 * 47809 * 52579 * 635449 * 667819 * 1442209 * 2090771 * 2184727 * 3565183 * 4939331 * 81370213 * 599144041 * 2097307081<10> * 2580806317<10> * 7093127053<10> * 118199211373<12> * 183411838171<12> * 2617340908930687<16> * 308474051973960247<18> * 348553294793390881<18> * 7742098247001476863<19> * 1240665991756395996384539<25> * 6685328718922896689720986361502967<34> * 943176903141330068482602900960294299878841<42> * 8640537866821528796307988728455578923633637199851<49> * 141122524877886182282233539317796144938305111168717<51> * 8088945454234260244205089187478561681297577735664282460646605211488071308329141235925700004673611573<100> * [3436656775...<449>] * [8585452883...<783>] * [3306727606...<1566>] * [8451841500...<4909>] (6.22%)
10^8218+1 = 1000000000...<8219> = 29 * 101 * 281 * 2068589 * 121499449 * 11239910909146629966481<23> * 62739436032911903633697449<26> * 645114231377754247116430561<27> * 56360262697642563914567399981<29> * [1171202295...<1089>] * [1609832768...<7007>] (1.51%)
10^8219+1 = 1000000000...<8220> = 11 * 8011505186691120932663584183<28> * [1134731723...<8191>] (0.35%)
10^8220+1 = 1000000000...<8221> = 73 * 137^2 * 1097 * 578689 * 1338217 * 1676321 * 99990001 * 425792713 * 1206959041<10> * 5964848081<10> * 4748644601646961<16> * 292549304722652561<18> * 100053257915376196241<21> * 100009999999899989999000000010001<33> * [6653181603...<539>] * [6387100731...<1052>] * [3416749364...<2139>] * [8284456854...<4343>] (1.80%)
10^8221+1 = 1000000000...<8222> = 11 * 624797 * [1455018044...<8215>] (0.08%)
10^8222+1 = 1000000000...<8223> = 101 * 16923589261<11> * 507129613949013184875341<24> * 35328516245481285822286525049<29> * [3265440537...<8158>] (0.78%)
10^8223+1 = 1000000000...<8224> = 7 * 11 * 13 * 16447 * 21929 * 49339 * 8140771 * 12449623 * 305188423 * 17008294223<11> * 6805115516183<13> * 15832865551816891<17> * [3581724895...<2713>] * [2765236334...<5433>] (0.95%)
10^8224+1 = 1000000000...<8225> = 19841 * 976193 * 6187457 * 834427406578561<15> * [9999999999...<8192>] (0.39%)
10^8225+1 = 1000000000...<8226> = 11 * 251 * 659 * 5051 * 5641 * 6299 * 9091 * 16451 * 20681 * 909091 * 4147571 * 21138251 * 21997411 * 280850851 * 2033255251<10> * 3612546001<10> * 82666448201<11> * 299547376801<12> * 1487997133561<13> * 78875943472201<14> * 4855067598095567<16> * 19725356788118801<17> * 265212793249617641<18> * 4327615799500178641<19> * 297262705009139006771611927<27> * 5846123145569130040199062201<28> * 924113758530847383764787530400912659976463549693743820952869672176334445090649182638712486115217201<99> * 4286364887150220673583225059177107721806065475972215552125258086068959357115762795701840175683004019170941959169708082929486830943679876008361716880663960188314299305481<169> * 1669195584...<274> * [1751203821...<903>] * [8079092490...<1055>] * [5271212543...<5472>] (9.68%)
10^8226+1 = 1000000000...<8227> = 101 * 9901 * 65809 * 286458231649<12> * 999999000001<12> * 16609276359889<14> * 312344481476645489<18> * 15181762479886594968001208675581<32> * 37919027182322759686834353708601<32> * [3169894359...<895>] * [2124718686...<1764>] * [2637201094...<5441>] (1.55%)
10^8227+1 = 1000000000...<8228> = 11 * 1733 * 246811 * 55783879554131<14> * 909090909090909091<18> * 9403727541...<415> * [4456851598...<7771>] (5.55%)
10^8228+1 = 1000000000...<8229> = 73 * 137 * 617 * 29921 * 152533657 * 174146369 * 302132161 * 2689448060768801465894964457<28> * 16205834846012967584927082656402106953<38> * 28330881496644957570065523400505204114494529<44> * 262533769339473652474903068060921237392956780959193<51> * 65552746171882583264230070868884366877803237222654400793<56> * [3809033795...<390>] * [6774742797...<584>] * [1230665090...<7005>] (3.04%)
10^8229+1 = 1000000000...<8230> = 7 * 11 * 13^2 * 157 * 859 * 6397 * 216451 * 1058313049<10> * 388847808493<12> * 38087571415274724997<20> * 90450913905628407613<20> * 7680624666089700021997<22> * 2138784016052685000504961<25> * 2764617069785703725933625413<28> * 328830679310453754915155768227495235329261497517806584073599983097585101077717193987768606878995960468762394797684114544714219984484001065567626526501680440465693288035792812855582407<183> * 2885196031...<401> * [1216129226...<2501>] * [5539593791...<4994>] (8.93%)
10^8230+1 = 1000000000...<8231> = 101 * 3541 * 27961 * 29629 * 592561 * 4279601 * 16377701 * 1683940301<10> * 14849487761<11> * 18537943321<11> * [3341655168...<1640>] * [7932705648...<3260>] * [6613190565...<3267>] (0.77%)
10^8231+1 = 1000000000...<8232> = 11 * [9090909090...<8230>] (0.01%)
10^8232+1 = 1000000000...<8233> = 17 * 113 * 337 * 49393 * 54881 * 3292801 * 5882353 * 90982417 * 2273318052433<13> * 115086544845553<15> * 748557160401121<15> * 9999999900000001<16> * 243827582384762881<18> * 73765755896403138401<20> * 403539336813078648113<21> * 38221511108998537041233<23> * 21405290268431061642029297<26> * 39643733584880700182008753<26> * 119968369144846370226083377<27> * 2070270028985341766616009080161<31> * 6026493503971642113374043042529<31> * 5649333362757164788488040397332687608183771313<46> * 1433319827159466789806966856379479179916136529424792832495021393<64> * [7992725630...<265>] * 7479886445...<616> * [7515192951...<2293>] * [1287999604...<4638>] (12.60%)
10^8233+1 = 1000000000...<8234> = 11 * 32933 * 3863617374886800623<19> * [7144665656...<8209>] (0.29%)
10^8234+1 = 1000000000...<8235> = 101 * 1289 * 285555121 * 530819489 * 18371524594609<14> * 7788750761855821<16> * 341541481880705969<18> * 4181003300071669867932658901<28> * [2394770832...<332>] * [1035590272...<7807>] (1.17%)
10^8235+1 = 1000000000...<8236> = 7 * 11 * 13 * 19 * 211 * 241 * 367 * 2161 * 6481 * 9091 * 29611 * 52579 * 65881 * 81131 * 174583 * 197641 * 688447 * 1251721 * 3762091 * 8613811 * 51745081 * 70541929 * 191870011 * 14175966169<11> * 577603663291<12> * 4741477940161<13> * 8985695684401<13> * 31023833790241<14> * 40498340376691<14> * 104523903510121<15> * 74480160166687247118121<23> * 74766933349728000895441<23> * 56631062438176004267801131<26> * 74307593114918637692506291<26> * 2447385101917578576518614756091<31> * 8610583349234340055547908764091017276717091<43> * 42936744040512685057308971520417028077990465463<47> * 33277993916065498965234812212436587255656671587921<50> * 11205222530116836855321528257890437575145023592596037161<56> * 455137305294745983623339076793154863893252334886652646220893202880060879281<75> * 987514761750377314044686248115773927874277757916135263387950191846440664775915261101432242060019802343954353410785845186369572771804641<135> * 1480744226...<314> * [9100090999...<480>] * [1469172623...<1044>] * [1341298135...<1418>] * [9114539033...<4260>] (12.57%)
10^8236+1 = 1000000000...<8237> = 73 * 137 * 233 * 49417 * 355193 * 4672937 * 11473030297<11> * 21591416633<11> * 273919647900781361<18> * 17468739848498438039329935679794457<35> * 22848119041855139346027890461325138752752437281<47> * 320326994163169943384295066992439316655840979654890345228609<60> * 44647705187364612522122975648958308190023012536081192611094211843306393900887680445089061753<92> * 667445373322555748825141520503793291652186991286836837554650386381311674104658216820684054966269965371491433<108> * [2023797478...<7836>] (4.87%)
10^8237+1 = 1000000000...<8238> = 11 * 197689 * 398303358408040377583<21> * 540652874622656549233457426074884961<36> * [2135464349...<8175>] (0.76%)
10^8238+1 = 1000000000...<8239> = 101 * 9901 * 1894741 * 38141941 * 577895701 * 1251269821<10> * 108579921143809<15> * [2595827542...<2737>] * [6789239525...<5450>] (0.63%)
10^8239+1 = 1000000000...<8240> = 11^2 * 23 * 463 * 1499 * 4093 * 8779 * 24179 * 28463 * 32957 * 74687 * 392263 * 590437 * 795653 * 909091 * 7444361 * 280267614929<12> * 1741854737919253<16> * 4539402627853030477<19> * 194749234429526109677<21> * 4924630160315726207887<22> * 75477148962003664034473049<26> * 628293465283949443537007319053023<33> * 56551536406585191369576818265496921<35> * 9140689231828972552925524522037823147045937571379494322686226282352288670801988451<82> * [2280204795...<507>] * [6315107546...<1045>] * [9090910000...<6360>] (3.98%)
10^8240+1 = 1000000000...<8241> = 353 * 449 * 641 * 1409 * 65921 * 69857 * 362561 * 1634881 * 18453761 * 48507233 * 382533761 * 947147262401<12> * 277746698566177<15> * 10782667539250241<17> * 2905028403163188339841<22> * 349954396040122577928041596214187605761<39> * [1125954409...<1606>] * [2301826288...<6477>] (1.92%)
10^8241+1 = 1000000000...<8242> = 7 * 11 * 13 * 739 * 7237 * 65929 * 148339 * 181303 * 16419517 * 216721819 * 763764893 * 17830074841<11> * 31002009816409<14> * 851109498533797<15> * 2670502781396266997<19> * 3404193829806058997303<22> * 45360300267343173645804799921<29> * 61051796035522969271171274876554178504544683763248923853725596423<65> * 909090909090909090909090909090909090909090909090909090909090909091<66> * 220589842618680198991086731354678488275926380957742565496334997548411735059<75> * [7943794539...<2626>] * [2054340448...<5254>] (4.39%)
10^8242+1 = 1000000000...<8243> = 101 * 521 * 44381 * 22378540544309<14> * 1900381976777332243781<22> * [2230907392...<628>] * [4513252318...<7571>] (0.53%)
10^8243+1 = 1000000000...<8244> = 11 * 16487 * 49459 * [1114860030...<8234>] (0.12%)
10^8244+1 = 1000000000...<8245> = 73 * 137 * 3169 * 98641 * 99990001 * 43636761577<11> * 66274274449<11> * 124071820777<12> * 24580943302873<14> * 3199044596370769<16> * 517731575900531219753<21> * 134204173649918363084881<24> * 14410637565324152730789889<26> * 51626338988814569262789149429131191054412260377<47> * [3740938693...<845>] * [3031648595...<1788>] * [1933954063...<5415>] (2.40%)
10^8245+1 = 1000000000...<8246> = 11 * 103 * 971 * 3299 * 4013 * 9091 * 87211 * 148411 * 236681 * 787223761 * 5566733971<10> * 21993833369<11> * 82489592491<11> * 138824299867402773401<21> * 102527361354613106010527<24> * 1305910854369128351032983761<28> * 323338434891034089173475790125293<33> * 27422699366054621683295623079471066588881<41> * 160220794821014452066741918303580917664386555934641<51> * 945810328223866785885905285429505642199347228900195881<54> * [1102051878...<302>] * [2401844449...<1513>] * [4690639265...<6112>] (3.88%)
10^8246+1 = 1000000000...<8247> = 29 * 101 * 281 * 2129 * 8681 * 2049349 * 106300489 * 120995729 * 121499449 * 5411126509<10> * 6810025069<10> * 11479240109<11> * 14691812549<11> * 363981764441<12> * 70523791798657961<17> * 722817036322379041<18> * 1369778187490592461<19> * 1728095716605342484009<22> * 3845225778323318739662926792353902964405172909187389<52> * 483128549554512237305554588359039822397307149685578249<54> * 4859378131018035310593858490137688922829468686775068797577396520148545290055799616742354372616293735785798821073310265896384033181<130> * [2485230579...<329>] * [1866524462...<1071>] * [1795895742...<6444>] (4.90%)
10^8247+1 = 1000000000...<8248> = 7 * 11 * 13 * 9643493 * 896520599419<12> * 647181684370766971<18> * 16884323419548361499809<23> * 86975737610796985673904235051<29> * [8627064892...<2701>] * [1409289493...<5456>] (1.10%)
10^8248+1 = 1000000000...<8249> = 17 * 5882353 * 126767965921<12> * 9789428189954849<16> * [8058109207...<8213>] (0.43%)
10^8249+1 = 1000000000...<8250> = 11 * 293 * 4973 * 4426889 * 608149277 * 10826684964539959837294043117<29> * 16711386254924846704216980361<29> * 286578888976194997999922592330908602103011<42> * 412943108813978385999641617982242667485519119709940711942693553709517240114281629255685010553886849303<102> * [1082355711...<8028>] (2.69%)
10^8250+1 = 1000000000...<8251> = 61 * 89 * 101 * 601 * 661 * 3001 * 3301 * 3541 * 4001 * 5501 * 9901 * 18041 * 27961 * 60101 * 76001 * 148721 * 261301 * 1610501 * 2471701 * 2508001 * 3019501 * 3903901 * 4188901 * 7019801 * 17247781 * 39526741 * 486904001 * 1052788969<10> * 1056689261<10> * 1082745841<10> * 1121407321<10> * 1424186501<10> * 5419170769<10> * 62759169001<11> * 168290119201<12> * 14103673319201<14> * 18516980928601<14> * 34838341296001<14> * 473217092140501<15> * 507868012934701<15> * 789390798020221<15> * 1680588011350901<16> * 2361000305507449<16> * 9000931379651641<16> * 89285503565971501<17> * 175433353865225501<18> * 2858317459102726501<19> * 25074091038628125301<20> * 34755523694172501001<20> * 118537885255996761951001<24> * 133157371602664723858501<24> * 5466892280202910591309001<25> * 6143203800519931376420641<25> * 29946379855533680291791501<26> * 212890462662706052906860201<27> * 1395900370916327245555441901<28> * 3405964732740856789870552501<28> * 49094895915282817628267672401<29> * 36380545029953205956377406702261<32> * 12573272907559818117031149894949981<35> * 38654658795718156456729958859629701<35> * 47544919756198200834991625912312501<35> * 104058563677338657976098468528187201<36> * 81090046817672902899738765448699224348721<41> * 3668996113223183559833250396711179251902642533701<49> * 16110638360992570900426742492996398052881460699696765138501<59> * 36605832263463437733314604426708004731796978480010361966001<59> * 126239370797267198368490274128272780260464262689211651471701<60> * 32886082501657187247904557195788749020689459942486319578774270656490822624175142646095920001<92> * 6209247929687718293872530970176361270188593487368651121607499902204345107547278766048583639501<94> * 5772836960871551629739891702941582786046981888067577713935696090484780222936184202483806307259453794424863748245102369540143501<127> * 800107125395206239935430877758693441879338279715986854168759198643184320615090047781735227652512476232674239391299478587112475352432305219301<141> * 109575359828758075293742168666552696459889213210429652741942719688262644636207608778914867982474582923526030684077083071626992444546444935968523216723001<153> * [9514352925...<365>] * [3059830656...<397>] * [1008519172...<919>] * [1476824934...<957>] * [1121361504...<1927>] * [2870400721...<1987>] (20.63%)
10^8251+1 = 1000000000...<8252> = 11 * 7253 * 208729 * 1697477 * 4190913929<10> * 5156432569<10> * 422650073734453<15> * 296557347313446299<18> * 1966032824334071843648738236716922141567459089390154109618864643162638011<73> * 253093223170974042778078357371021297932776085452885919633889326945731506967967386342851064208779696417921593338374442943683661653<129> * [2624725820...<7983>] (3.26%)
10^8252+1 = 1000000000...<8253> = 73 * 137 * 100987609446161<15> * 283129017633964102881883753<27> * [3497068174...<8208>] (0.54%)
10^8253+1 = 1000000000...<8254> = 7^2 * 11 * 13 * 19 * 127 * 263 * 2689 * 5503 * 33013 * 52579 * 144887 * 459691 * 660241 * 909091 * 5274739 * 78447517 * 288840329 * 1007047567<10> * 1397382241<10> * 2399158891<10> * 10076513257693<14> * 306662501757259<15> * 525786373041914526306757<24> * 189772422673235585874485732659<30> * 112506283680098168752627601991569<33> * 223908687382121511269398989390133<33> * 292987356406918272425934690293373859<36> * 1363608083180796048411168783196497071688492468691<49> * 22470645744200057762885095342697894721605325430609487291715500041029950763944163993319007373686738769124162721892380653<119> * 62339577231074552025417800627219902399609765276523884060897664718644575416179222125766565878683978340565955467874226181636354165574411<134> * 1173909038...<735> * [1424053109...<736>] * [2504606094...<1551>] * [2982089447...<4654>] (15.92%)
10^8254+1 = 1000000000...<8255> = 101 * 206223882400000841<18> * [4801088013...<8235>] (0.23%)
10^8255+1 = 1000000000...<8256> = 11 * 131 * 859 * 3557 * 5081 * 9091 * 115571 * 1779779 * 5692649 * 13006579 * 157297121 * 857772733 * 1058313049<10> * 1094479651<10> * 1125629957<10> * 6549246491<10> * 2660369248721<13> * 10392945395171<14> * 13613318974477<14> * 405519787216361<15> * 616896149073719728613<21> * 10860110813777339731289<23> * 258912669263486564449721971<27> * 202367638102311029520083171135894724910091<42> * 8396862596258693901610602298557167100076327481<46> * 36099531273603138218699301565567581705151216702113889<53> * 3717737335...<388> * [5305621024...<1474>] * [8747279673...<6035>] (9.04%)
10^8256+1 = 1000000000...<8257> = 3457 * 12289 * 330241 * 495361 * 10468609 * 418725889 * 1265011073<10> * 15343168188889137818369<23> * 515217525265213267447869906815873<33> * 338579887181973006729167651681190977281<39> * 16603249990114694613009401045119923580957837937462177950368477911534904193<74> * [3028091605...<2683>] * [1928364861...<5364>] (2.55%)
10^8257+1 = 1000000000...<8258> = 11 * 47 * 139 * 2531 * 25849 * 57105413 * 17606346686371<14> * 549797184491917<15> * 5491049715552009782366423<25> * 19210610797963667218565939<26> * 2731764846587782091546914066524656594612608438032609803989298453<64> * [6701608956...<265>] * [1992465376...<7831>] (1.96%)
10^8258+1 = 1000000000...<8259> = 101 * 545029 * 5202541 * 103077292025391318037126649<27> * [3387509355...<8218>] (0.49%)
10^8259+1 = 1000000000...<8260> = 7 * 11 * 13 * 33037 * 16479518567<11> * 96907092127<11> * 732370516304470909186201<24> * 68101842761457413108021611<26> * 1482081102658796106776479827379<31> * [1669791290...<2738>] * [1534056517...<5414>] (1.31%)
10^8260+1 = 1000000000...<8261> = 73 * 137 * 4721 * 7841 * 42953 * 851761 * 1676321 * 395026241 * 5964848081<10> * 172193180321<12> * 6218964172073<13> * 3410758635375200561<19> * 7865916036529077017<19> * 127522001020150503761<21> * 38074670146076426987489<23> * 8048018927991130149100469823121<31> * 32394937980403032343941480318880086318307142570248235727782772042697<68> * 1174155661036370531158387153086358732085761158354280249987966107746175275693416345665039841<91> * 36837015057313006096634536795587748230336921494253255771361450341226561526611901358724245001042863132758337028749847212746321<125> * [2118407117...<925>] * [4514904017...<1335>] * [1242417567...<5538>] (5.62%)
10^8261+1 = 1000000000...<8262> = 11^2 * 23 * 4093 * 8779 * 816036247718572827976015361<27> * [9090909090...<750>] * [1347979336...<7474>] (0.46%)
10^8262+1 = 1000000000...<8263> = 101 * 109 * 409 * 3061 * 4861 * 9901 * 54469 * 153469 * 2925721 * 5969449 * 7083289 * 28559389 * 134703241 * 158963941 * 1491383821<10> * 29177500861<11> * 999999000001<12> * 2709009355501<13> * 3626707988341<13> * 40798705910329<14> * 225974065503889<15> * 2324557465671829<16> * 157538980319816607121<21> * 12001521923292075594263101<26> * 357543089339823698171301109<27> * 729719975272091111399590489<27> * 846160494149365798478410729<27> * 44398000479007997569751764249<29> * 59779577156334533866654838281<29> * 112544281755782732673671367061<30> * 168199595687205968107363838899561<33> * 57335082222680413300052573860618669<35> * 783547101206294913371101984838610145434601594940320359051755346054094539252541<78> * 341796090604674881849636380229010216626944264336893367139245334739710314141368913850637159182300704681<102> * 4108154882...<248> * 1000000000...<577> * [1353282792...<1685>] * [1453259723...<5125>] (17.60%)
10^8263+1 = 1000000000...<8264> = 11 * [9090909090...<8262>] (0.01%)
10^8264+1 = 1000000000...<8265> = 17 * 5882353 * 115629889 * [8648282884...<8248>] (0.19%)
10^8265+1 = 1000000000...<8266> = 7 * 11 * 13 * 59 * 211 * 241 * 571 * 1103 * 1451 * 2161 * 9091 * 33931 * 82651 * 242441 * 347131 * 1458973 * 30104611 * 58765601 * 1134434761<10> * 2172376081<10> * 6416791721<10> * 9422513251<10> * 70350656881<11> * 94700896757<11> * 638453709757<12> * 1812604116731<13> * 2433146345771<13> * 43974510874783<14> * 121450506296081<15> * 135080726389891<15> * 12571985633814169<17> * 17996132431060961<17> * 33885326207388881<17> * 246674237689788343<18> * 909090909090909091<18> * 3530816312280259198921<22> * 11382273828031938028891<23> * 213266857468399295922877<24> * 43135513763991692454656851<26> * 154083204930662557781201849<27> * 1174705187104089640352756731<28> * 753201806271328462547977919407<30> * 1274194732898148471766404179653<31> * 4996731930447843676185843959746621491531100801<46> * 2689733081149583259955660466703961213355942983143965614283081<61> * 97862727665480231246011008935563207741144491224418517422691228321<65> * 4266662839057986102285502119162080638872058454152278425256962985792707796691<76> * 3086378389952794464452477594457481658796144989454387663022612747109648355164040568369321<88> * 3245978377655567212760904825925262846295198021902309330517162600205414882257480287263152055681<94> * [2473501391...<403>] * [7718148479...<955>] * [1174430072...<1985>] * [1084769906...<4001>] (11.18%)
10^8266+1 = 1000000000...<8267> = 101 * [9900990099...<8264>] (0.02%)
10^8267+1 = 1000000000...<8268> = 11 * 151169 * 909091 * 307830013 * 17869765327<11> * 330289103173<12> * [1953590856...<1167>] * [1863715197...<7059>] (0.51%)
10^8268+1 = 1000000000...<8269> = 73 * 137 * 313 * 18233 * 1101673 * 1580801 * 99990001 * 311323273 * 67406298457<11> * 113293490373337<15> * 225949462038457<15> * 1488067111584049<16> * 899319337247551841<18> * 23259053626497270401<20> * 23641392997940421257<20> * 1358074433371719716641<22> * 25922039400701642010697<23> * 52479828164257337529193<23> * 291593563046646669491593<24> * 706882718657645277228087439919935993<36> * 632527440202150745090622412245443923049201<42> * 7323941687838105624847742701467683590147273<43> * 54469179239047116300845682623717697162577784999950014081337618457<65> * 4721039325728010820594679541353546669967335225378893722566311366791400472881<76> * 1193142585...<344> * [4299831008...<2477>] * [1093631124...<4948>] (10.21%)
10^8269+1 = 1000000000...<8270> = 11 * 231533 * 407975780510827877<18> * [9624097937...<8245>] (0.29%)
10^8270+1 = 1000000000...<8271> = 101 * 3541 * 27961 * 115781 * 611383567601<12> * 8615844485080668061<19> * [1149160725...<1634>] * [4619131343...<3293>] * [3088943781...<3299>] (0.55%)
10^8271+1 = 1000000000...<8272> = 7 * 11 * 13 * 19 * 3677 * 20219 * 52579 * 297757 * 198321012397<12> * 149962757640601<15> * 4828230544977123344985645497983<31> * [1222796009...<911>] * [5097124133...<1786>] * [5047372373...<5497>] (0.95%)
10^8272+1 = 1000000000...<8273> = 353 * 449 * 641 * 1409 * 4513 * 11969 * 69857 * 876833 * 4913921 * 470909313601<12> * 795439669537<12> * 312910899745589556275258593<27> * 361057759540097288072937247979725352972055181853408265699800478521559326591153094457376181755912540092512773699689532234798987224827675649<138> * [8902392316...<694>] * [1140468025...<7355>] (2.71%)
10^8273+1 = 1000000000...<8274> = 11 * 99277 * [9157115032...<8267>] (0.07%)
10^8274+1 = 1000000000...<8275> = 29 * 101 * 281 * 9901 * 27581 * 99289 * 226549 * 121499449 * 34215830741<11> * 500230319401<12> * 4458192223320340849<19> * 3298621327616170685375569<25> * 32346281503803379241583721<26> * 4860953135773095938955057127729<31> * 57757234955479108279003493865169<32> * 39183683903547299202471125940449908897423309<44> * 95857172574244109092139928579854506165297073472804809<53> * 9557377469...<291> * [1748696922...<753>] * [1213955702...<2300>] * [9345899345...<4649>] (6.93%)
10^8275+1 = 1000000000...<8276> = 11 * 251 * 5051 * 9091 * 38329801 * 2910929851<10> * 3454249801<10> * 106450841251<12> * 5943603127859<13> * 78875943472201<14> * 68090424344275618544761<23> * 1932782378208168486700373<25> * 66287629848519079879793946893<29> * 573408944084407647616987278212508727<36> * 18802215938788787651629737655497612041<38> * 37597427372633848169498753071057309208493613<44> * 1444717414116629325014741879647282362357909367956352378595000668188348845124645807623208351032316317811617655604213036600335625808152140581460631346308342601069504206134844531691<178> * [2487365029...<1251>] * [3227182347...<6580>] (5.38%)
10^8276+1 = 1000000000...<8277> = 73 * 137 * 16553 * 60656884471860161<17> * [9958633687...<8251>] (0.30%)
10^8277+1 = 1000000000...<8278> = 7 * 11 * 13 * 179 * 373 * 44641 * 3154339 * 9021931 * 19324037 * 236258689 * 3590254957<10> * 118941438655807<15> * 12147237304901893<17> * 909090909090909090909090909091<30> * 18381907262281244633158190677786966663091011<44> * 1054927415257693631440903203309586374903030044747807503<55> * 4180967272673252032291190917188955510245874180001164839931077197586653<70> * 277647953094263129557791800758437062357091717570293219577986145801595477739802212252078988231259971169<102> * [2409389620...<2625>] * [1008653247...<5274>] (4.59%)
10^8278+1 = 1000000000...<8279> = 101 * 49669 * 106173629 * 538235358686878562668009<24> * [3488223659...<8240>] (0.46%)
10^8279+1 = 1000000000...<8280> = 11 * 103 * 4013 * 1842809 * 68550121 * 21993833369<11> * 1911074033149222157<19> * 46031771059124302914419<23> * 85229865075272144409552011<26> * 15429532319091493805830664263<29> * [1071690314...<458>] * [6385021802...<7696>] (1.52%)
10^8280+1 = 1000000000...<8281> = 17 * 3313 * 8929 * 121441 * 176641 * 309121 * 4970209 * 5070721 * 5882353 * 13612321 * 1132716961<10> * 11266057249<11> * 29012358241<11> * 111418603800481<15> * 231158571841297<15> * 9999999900000001<16> * 45805596709279681<17> * 377122377971176801<18> * 8135219512674788641<19> * 23839779350937685860961<23> * 1608357139893807878893601<25> * 19721061166646717498359681<26> * 159287226231413970347326561<27> * 281259985248437790051014401<27> * 31388506438433752927908678241<29> * 88424835854419406860480471361<29> * 374531874959836692094017219169<30> * 326866013321545141677800244941441<33> * 111994624258035614290513943330720125433979169<45> * 2582785559040998185916696136639544586696154922477921<52> * 22651858853653655359251914860948647902217772389947313979551649<62> * 120553054891405588545727822543281066162803459003848166118314367809<66> * 829510285658710111215121966308351445187741335558528775675039806142270659943202818322753067885238020768017585089<111> * 387178872244935905889772080780710293688045544881430361754684573270941224160164698232378629400751141017399632124896823872033355066626985720481<141> * [4998814505...<217>] * [2151163818...<619>] * [1305775637...<1039>] * [8682695517...<1361>] * [3114781452...<4150>] (10.83%)
10^8281+1 = 1000000000...<8282> = 11 * 197 * 677 * 859 * 3823 * 15289 * 909091 * 21705503 * 987001237 * 1058313049<10> * 31740864418372643899<20> * 309589156691199312383<21> * 5076141624365532994918781726395939035533<40> * 1727311850410986782582477577505934019333847<43> * 1592730232155679902273246343099578009020762979379345291<55> * 50678387411703889101759125785290439894389920385627096501794498837<65> * 939618179300167110691422839525295363729230399945945616908880764779647712170590547747265739<90> * 9904804597...<454> * [1017643138...<897>] * [1000000000...<6553>] (10.06%)
10^8282+1 = 1000000000...<8283> = 101^2 * 68389 * 3679329001<10> * 19384130081<11> * 28260254501<11> * 12793360409007449<17> * 810974805277856760181<21> * 4908990488743183603681<22> * 5383539446793990416488818114381662511041<40> * 147987024898557331825270928295100820916509<42> * 274709671055935535763734628625616947603714681537231287179261<60> * 1447745997018511893740076606031686237538345362413531560645573104006506749609<76> * [4406948172...<7969>] (3.78%)
10^8283+1 = 1000000000...<8284> = 7 * 11^2 * 13 * 23 * 503 * 4093 * 8779 * 16567 * 99397 * 12590161 * 100820677 * 105288979 * 168658447 * 599144041 * 5213439677<10> * 183411838171<12> * 191218066969<12> * 206048382893<12> * 6392427361093<13> * 3137981086839729373<19> * 13192823012106528121<20> * 4067568702062638144916699<25> * 11858867795195513069543743<26> * 1357688906722441838874523063<28> * 17764334637927138067713031681<29> * 2212012955306294098346533984373<31> * 86579194832347439851096124164663<32> * 228175830687389378268569034706114933<36> * 1756473376297178637489284481878718601<37> * 21689196734582708053660794891232689909538844325990924677397646308082829007403196597363377256966074584447477581688161456723290029877534439668145537718911503<155> * [4861154191...<432>] * [1187795257...<2403>] * [8810537481...<4897>] (6.67%)
10^8284+1 = 1000000000...<8285> = 73 * 137 * 457 * 99409 * 1403417 * 86403431489<11> * 456439977353<12> * 5240808656722481737<19> * 30448711187626774317169<23> * 276905988738855664805273<24> * 2127164804291353900635281<25> * 1710994186565875947530228779349674860535337<43> * 297478330786365628414805305290302483555043017<45> * [1481812905...<368>] * [5609385923...<7701>] (2.61%)
10^8285+1 = 1000000000...<8286> = 11 * 9091 * 8947801 * 11748131 * 2562889149242441<16> * [9090909090...<1656>] * [4082943992...<6595>] (0.42%)
10^8286+1 = 1000000000...<8287> = 101 * 9901 * 646309 * [9900990099...<2760>] * [1562718436...<5515>] (0.14%)
10^8287+1 = 1000000000...<8288> = 11 * 1115352169609<13> * [8150707317...<8274>] (0.16%)
10^8288+1 = 1000000000...<8289> = 19841 * 21313 * 976193 * 6187457 * 834427406578561<15> * 736806111316855372801<21> * 417067672004431016027567793820801<33> * 483653178803446515441471666245761<33> * 707285850117624346067550937755073<33> * 3389990665995333265366836872252020333482336548986397735456228533820597306799173793346530834741952645058293656375786341106265537<127> * [4691972035...<1148>] * [2806161966...<6859>] (3.40%)
10^8289+1 = 1000000000...<8290> = 7 * 11 * 13 * 19 * 5527 * 7369 * 52579 * 414451 * 70541929 * 550606957 * 2772769969<10> * 14175966169<11> * 3311436805543<13> * 34531987464417801709764451<26> * 43792442846195935916779099<26> * 1490473286202873492575327109823<31> * 5523722596446330977448218249241349336929189661174997<52> * 4491267979654040991517174292809986926580431222945624648462333<61> * 2029528428657053384033771551046459064471855763867979888746704611<64> * 3658227236500563547693639851770301083718182348713994302520564971238177222520611617505129<88> * 6184565377...<574> * [1811109098...<1833>] * [2519946916...<5468>] (11.94%)
10^8290+1 = 1000000000...<8291> = 101 * 3541 * 27961 * 33161 * 8986361 * 192493801 * 317756190769<12> * 1500388497241<13> * 1120001771038321<16> * 30904195178426741<17> * 593004676562928531700562168161<30> * [3115907852...<1645>] * [4731658411...<3261>] * [1208319459...<3271>] (1.38%)
10^8291+1 = 1000000000...<8292> = 11 * 1244729293842379<16> * 17242931419374121<17> * [4235662065...<8259>] (0.39%)
10^8292+1 = 1000000000...<8293> = 73 * 137 * 99990001 * 205569737 * 2597259960622707671329<22> * [1872759341...<2731>] * [1000099999...<5521>] (0.50%)
10^8293+1 = 1000000000...<8294> = 11 * 132689 * 12024851 * 108051338047<12> * 22290933742862294761<20> * [2365561698...<8250>] (0.53%)
10^8294+1 = 1000000000...<8295> = 89 * 101 * 349 * 521 * 38861 * 618049 * 1052788969<10> * 1056689261<10> * 2081839241<10> * 2815813001<10> * 5048897101<10> * 114550003829<12> * 14583568490089<14> * 17576772101461<14> * 2079492584954269<16> * 854178901397435329<18> * 1900381976777332243781<22> * 188043499241195246082595481<27> * 6861213971210390201377343641<28> * 754309323029578981494450523147961<33> * 4832227158939716614468345433242909<34> * 11811806375201836408679635736258669583187541<44> * 40520191245153663291616075979301737566653577978261825599617472901135361<71> * 389057640102575795238314817222406419443832674379928206992954147805827425053833398395365869<90> * [3764477538...<491>] * [5751998314...<629>] * [4116479684...<6693>] (5.81%)
10^8295+1 = 1000000000...<8296> = 7^2 * 11 * 13 * 127 * 211 * 241 * 1423 * 2161 * 2371 * 2689 * 5531 * 6637 * 9091 * 66361 * 132247 * 459691 * 909091 * 2106931 * 4147571 * 273943561 * 292013863 * 1220927779<10> * 9615060929<10> * 10170342449<11> * 29970369241<11> * 637644419651<12> * 3737255637179<13> * 71510109595933<14> * 1661378260814161<16> * 6295632499623851<16> * 199768174909863127<18> * 265212793249617641<18> * 121158232768029571171<21> * 452556113097050027983<21> * 18276168846821336356291<23> * 202614141105037948508002771<27> * 4539787279569136988691351491<28> * 154527628727094706891588937475019<33> * 24966203549341539495819194854679625225811<41> * 36135553580039597739744803188558136917651907171<47> * 66443174541490579097997510158021076958392938976011506949065646573<65> * 1251990291329257796002278912741887225923362508309806834359341444948291275981327174223618327402150792085738318266379138644493775947105115101637978649<148> * 42660530392229903351072436102344244250617560023502875336329183331096805000157530395542396500243031769146588091361465456452731316179986315200680926557940585563325081869311166989363491<182> * [2894038202...<446>] * [6914859041...<586>] * [1000857911...<809>] * [2577682834...<1857>] * [1655927427...<3740>] (10.37%)
10^8296+1 = 1000000000...<8297> = 17^2 * 977 * 5882353 * 62054081 * 13355595217<11> * 967901760520372289<18> * 7849115417706986501273297<25> * 15342981436280399162218241<26> * 12126864657751886263647243158401<32> * 1333621378380781329750868926173511152429445865079521<52> * 440441087557478776852171834625638618412949059374084837579531425633661269203803741415744566525108430933975383194546209<117> * 8330524721...<352> * [1050315794...<7648>] (7.82%)
10^8297+1 = 1000000000...<8298> = 11 * 33818573 * 615394795721<12> * [4368156779...<8277>] (0.25%)
10^8298+1 = 1000000000...<8299> = 101 * 9901 * 22129 * 49789 * 82981 * 999999000001<12> * 540482773843313861881<21> * 9900990099...<920> * [8444565214...<1815>] * [2420406811...<5511>] (11.72%)
10^8299+1 = 1000000000...<8300> = 11 * 1931 * 10037 * 1327841 * 1430131 * 57009401 * 166376423 * 2182600451<10> * 10858727210971<14> * 172327901078205013<18> * 7306116556571817748755241<25> * 197130359208641543369948601899772685881314797880591361841987239812905237552876758580360078419442702688883521253076425640461215518675198704069680024806236407348374092599681<171> * [4427026170...<8028>] (3.27%)
10^8300+1 = 1000000000...<8301> = 73 * 137 * 401 * 1201 * 1601 * 1993 * 159361 * 298801 * 1414321 * 1676321 * 5964848081<10> * 885566176916321<15> * 1627839311921131673455277189737<31> * 209855077384496402528794210924081<33> * 129694419029057750551385771184564274499075700947656757821537291527196801<72> * [3082036244...<295>] * [7990810697...<1248>] * [1000000000...<6561>] (2.38%)