10^20301+1 = 1000000000...<20302> = 7 * 11 * 13 * 607 * 809 * 1213 * 7237 * 133321 * 329059 * 389659 * 3451171 * 1327067281<10> * 17830074841<11> * 851109498533797<15> * 737435771148719807<18> * 45360300267343173645804799921<29> * 3041043667691453912297172888609639950518597<43> * 909090909090909090909090909090909090909090909090909090909090909091<66> * 220589842618680198991086731354678488275926380957742565496334997548411735059<75> * 11500490394117824585468796003575163076836624586334794818271756072956027758946488969<83> * 2113873057909255954597860117046517523085495996255290561579559808382113111534728679468477428965405362215537576924089595285508298878912860778863<142> * [1491655331...<6583>] * [2636786180...<13194>] (2.59%)
10^20302+1 = 1000000000...<20303> = 101 * 8610985141797936449<19> * [1149809218...<20282>] (0.10%)
10^20303+1 = 1000000000...<20304> = 11 * 1423 * 30841 * 9615060929<10> * 41236044512156603777979544195943152517271779<44> * 6621650829759394867011952029659651154933062041670057842400167<61> * 66443174541490579097997510158021076958392938976011506949065646573<65> * 1079532167431061415165932592055901092454451592309148326151617900514215922407756340218895879841860600138403440141998167181967545309634241890872640207<148> * [1099999999...<19969>] (1.65%)
10^20304+1 = 1000000000...<20305> = 97 * 353 * 449 * 641 * 1409 * 4513 * 13249 * 13537 * 69857 * 206209 * 1067329 * 55632961 * 196482241 * 19084406401<11> * 43372552033<11> * 66554101249<11> * 795439669537<12> * 75118313082913<14> * 9379643807081377<16> * 12546697353562655713<20> * 312910899745589556275258593<27> * 789462081785833165384754689<27> * 70716147055257711374123575798428608590219877617672752248112085912824160137075376116481<86> * 6873201485...<237> * [8902392316...<694>] * [1000000000...<1473>] * [5545456682...<4375>] * [2305605626...<13238>] (2.59%)
10^20305+1 = 1000000000...<20306> = 11 * 263 * 3931 * 9091 * 11161 * 203051 * 4150343 * 143158373 * 1397382241<10> * 5107438481<10> * 905381982041<12> * 3925963357681<13> * 15727277053931<14> * 306662501757259<15> * 1166895406706881<16> * 5167617497664851<16> * 8991500936656201<16> * 525786373041914526306757<24> * 8002634608685273432504971<25> * 909090909090909090909090909091<30> * 1028282517874156981827943844801<31> * 112506283680098168752627601991569<33> * 1363608083180796048411168783196497071688492468691<49> * 4857900688365130469291831549890842547443917376935406225054646143856579892970236911030721<88> * [1872991426...<461>] * [2230748842...<3846>] * [8840955517...<15570>] (2.11%)
10^20306+1 = 1000000000...<20307> = 89 * 101 * 521 * 569 * 7669 * 1052788969<10> * 1056689261<10> * 17576772101461<14> * 380623849488714809<18> * 1900381976777332243781<22> * 208557480788036914014508993681<30> * 7716926518833508778689508504941<31> * 754309323029578981494450523147961<33> * 4832227158939716614468345433242909<34> * 93611382287513950329431625811490669<35> * 82519882659061966708762483486719446639288430446081<50> * 40520191245153663291616075979301737566653577978261825599617472901135361<71> * 389057640102575795238314817222406419443832674379928206992954147805827425053833398395365869<90> * [4842789604...<1371>] * [1009999999...<1681>] * [9900990099...<16800>] (2.24%)
10^20307+1 = 1000000000...<20308> = 7^2 * 11 * 13 * 127 * 2689 * 23209 * 459691 * 909091 * 1747974343<10> * 9260135117<10> * 28428540967<11> * 133519338363041<15> * 52098495635353961<17> * 245225627950343167051<21> * 1647981572972073631565952967<28> * [1078027288...<931>] * [4734805889...<1928>] * [4999149434...<5755>] * [1305332073...<11562>] (0.66%)
10^20308+1 = 1000000000...<20309> = 73 * 137 * 111399422195714562881<21> * [8975809661...<20284>] (0.12%)
10^20309+1 = 1000000000...<20310> = 11 * 47 * 139 * 2531 * 3533 * 386236903818131<15> * 549797184491917<15> * 1363737936991889<16> * 404681539740063769<18> * 23341218662287312957<20> * 1796709486977412994959502244801<31> * [1588577921...<815>] * [1993188484...<19372>] (0.61%)
10^20310+1 = 1000000000...<20311> = 61 * 101 * 3541 * 9901 * 27961 * 4188901 * 31764841 * 39526741 * 11989453361<11> * 156632101081<12> * 1137533853601<13> * 105850491231217489<18> * 64581829025878367912461<23> * 103755638549142509983332581<27> * 9899734712989800120136150121<28> * 36764627737869172094680667009<29> * 1354592090378874321847140113114629<34> * [1566562251...<1264>] * [5337344709...<2655>] * [1821250746...<2666>] * [1009998990...<2705>] * [7001610960...<5389>] * [3913542626...<5408>] (1.11%)
10^20311+1 = 1000000000...<20312> = 11 * 909090909090909091<18> * 1059771977181307707019<22> * [9090909090...<1068>] * [1037959130...<19204>] (0.20%)
10^20312+1 = 1000000000...<20313> = 17 * 487489 * 5882353 * 763736766706721<15> * [2685910128...<20284>] (0.14%)
10^20313+1 = 1000000000...<20314> = 7 * 11 * 13 * 19 * 223 * 367 * 4663 * 7253 * 22571 * 52579 * 81131 * 51745081 * 58591721 * 130287583 * 191870011 * 288173761 * 902659997773<12> * 4741477940161<13> * 6239312032411<13> * 40498340376691<14> * 422650073734453<15> * 296557347313446299<18> * 7116181512528105949933<22> * 58988071364250068151049<23> * 62562101977662753776437<23> * 74307593114918637692506291<26> * 21606064498691505246200058094681<32> * 48911689110891303706174193415115219<35> * 42936744040512685057308971520417028077990465463<47> * 33277993916065498965234812212436587255656671587921<50> * 11205222530116836855321528257890437575145023592596037161<56> * 2490872691908137575166466088291355643827701079891978578274835994080775464595974553558911862020407649324804027436087292675616017146240063168618749945139990951997<160> * 1480744226...<314> * [1410072467...<2126>] * [3157816995...<4312>] * [1228927294...<12940>] (4.61%)
10^20314+1 = 1000000000...<20315> = 29 * 101 * 281 * 2072029 * 121499449 * [9900990099...<2900>] * [4874449151...<17394>] (0.10%)
10^20315+1 = 1000000000...<20316> = 11 * 103 * 4013 * 9091 * 16253 * 24379 * 87211 * 3112259 * 10913219 * 547594889 * 787223761 * 21993833369<11> * 34525066541041<14> * 508399838327574001<18> * 234505087651868812230401<24> * 2373058463205177370688384659<28> * 165364337971283147246398748401<30> * 160220794821014452066741918303580917664386555934641<51> * 2846390188891241030645451773087716881978563746547069042984813032147999326242449<79> * 6282138071505210318841228543562283508437569619884438177000652801796615935488955777747431198279234592543622766101015393665597896857185313159459<142> * 2836574643...<900> * [1821848722...<3737>] * [9091000000...<15232>] (6.63%)
10^20316+1 = 1000000000...<20317> = 73 * 137 * 99990001 * 126109729024526873<18> * [7928809440...<6751>] * [1000099999...<13537>] (0.14%)
10^20317+1 = 1000000000...<20318> = 11^2 * 23 * 4093 * 8779 * 278871143 * 331532807 * 250763776578065521<18> * [9090909090...<1846>] * [4744580241...<18426>] (0.22%)
10^20318+1 = 1000000000...<20319> = 101 * 213475943321<12> * 6744403847590609<16> * [6876795623...<20289>] (0.14%)
10^20319+1 = 1000000000...<20320> = 7 * 11 * 13^2 * 157 * 859 * 6397 * 18757 * 47933 * 216451 * 9631207 * 18774757 * 23179291 * 336116899 * 1058313049<10> * 16248576007<11> * 388847808493<12> * 2066968766882353187933<22> * 346135779521358577130693<24> * 5712073589995599555976639806259<31> * [1896586712...<516>] * [2527522797...<1029>] * [8314715960...<6149>] * [2982989752...<12463>] (0.81%)
10^20320+1 = 1000000000...<20321> = 19841 * 642113 * 976193 * 6187457 * 281440129 * 834427406578561<15> * 99999999999999999999999999999999000000000000000000000000000000009999999999999999999999999999999900000000000000000000000000000001<128> * [5533533152...<4018>] * [1000000000...<16129>] (0.86%)
10^20321+1 = 1000000000...<20322> = 11 * 5807 * 909091 * 551720957 * 167094549081881<15> * 506126662123213<15> * [5606305915...<2875>] * [6583098587...<17398>] (0.24%)
10^20322+1 = 1000000000...<20323> = 101 * 9901 * 67741 * 21777475189<11> * 67109083189<11> * 999999000001<12> * 839310559389284364084629<24> * 2434684827527570165683501<25> * 8231189949766405795680405749<28> * 159175185364588299701411791861<30> * 12997605280355035463166531521403529<35> * [5886410781...<2180>] * [4931077116...<4423>] * [1000000999...<13537>] (0.90%)
10^20323+1 = 1000000000...<20324> = 11 * 81293 * 7760012383<10> * [1441092140...<20308>] (0.08%)
10^20324+1 = 1000000000...<20325> = 73 * 137 * 243889 * 11218849 * [3654399788...<20308>] (0.08%)
10^20325+1 = 1000000000...<20326> = 7 * 11 * 13 * 211 * 241 * 251 * 2161 * 3253 * 5051 * 9091 * 552841 * 25528201 * 126706051 * 4510549276171<13> * 78875943472201<14> * 4260945193341481<16> * 781651088126237401<18> * 1358932280476739962681<22> * 4002087504402581851825081<25> * 13999867318772752070586571<26> * 19633880890121399344333447<26> * 13631530938380353975492092299<29> * 399043838982071991709808323681<30> * 2361737551129877719236265175893<31> * 14346353391098975362754290118329<32> * 21765743514521277143440823504372166157<38> * 10000099999999989999899999000000000100001<41> * 256031814642414583920091086688834271205176259587307504943<57> * 80072738860992416363006630180480205233270947285561349320187586148230645206844076936593016233492608684386014640420902971076925333121186484088558037848433079987468965872130196785578571<182> * [1372794546...<411>] * 5723385019...<1052> * [2995137814...<2060>] * [1000009999...<5401>] * [3955169990...<10767>] (8.31%)
10^20326+1 = 1000000000...<20327> = 101 * 30797358939929919829<20> * [3214882847...<20305>] (0.11%)
10^20327+1 = 1000000000...<20328> = 11 * [9090909090...<20326>] (0.01%)
10^20328+1 = 1000000000...<20329> = 17 * 113 * 337 * 3697 * 13553 * 447217 * 5882353 * 10100113 * 11397233 * 21582529 * 30357713 * 114690577 * 1012375057<10> * 48098483178241<14> * 9999999900000001<16> * 217194176249476273<18> * 6494093841867564769<19> * 73765755896403138401<20> * 107045999862591744769<21> * 470067687182125061569<21> * 21109292566272870554290081<26> * 75675153541982860202858401<26> * 119968369144846370226083377<27> * 11786300284844910479546815969<29> * 69107936491313674237030826849<29> * 1055221449703249740632024440753<31> * 2070270028985341766616009080161<31> * 1433319827159466789806966856379479179916136529424792832495021393<64> * 9900879227786858424257223656804730798555422102713108259184822982673560177<73> * 11211641228630565679165073415717349211301068854209340842417386559363002502053200017505737086336239008966529<107> * [1289298797...<441>] * [7378440197...<876>] * [9550416403...<884>] * [1208229806...<1693>] * [4039730534...<5256>] * [2208717944...<10546>] (3.12%)
10^20329+1 = 1000000000...<20330> = 11 * 59 * 17076361 * 65598179 * 1357962046159139<16> * 5765687721469127<16> * 154083204930662557781201849<27> * 8369769456664849705148248771<28> * [1219310752...<650>] * [1117239395...<19578>] (0.51%)
10^20330+1 = 1000000000...<20331> = 101 * 761 * 1901 * 2141 * 3041 * 3541 * 6421 * 27961 * 74861 * 142830449 * 417332341 * 40882343106721<14> * 10719760477926601<17> * 96252210267521261<17> * 722817036322379041<18> * 1369778187490592461<19> * 65448851735672042686781<23> * 1044374808061138338437701<25> * 780548018657747948342675331841<30> * 2503449683975634389122475131418441<34> * 2663175124735692788546303920893311173981<40> * 458192181720740635773018630313952996833801<42> * 20547226778782170120539430083689730394727567536361<50> * 2421825498886875706568085804897442030525256100180294305383840413574930314582991559155197335837338973747281007884658776715423100656032123324942160620509168628560523446063044557248001192491268292405581<199> * [5602597698...<341>] * [1825247764...<371>] * [7071321325...<3808>] * [5410331736...<7609>] * [2796100002...<7633>] (2.80%)
10^20331+1 = 1000000000...<20332> = 7 * 11 * 13 * 19 * 503 * 1459 * 52579 * 70541929 * 105288979 * 2458921051<10> * 5213439677<10> * 14175966169<11> * 23418912943<11> * 89115964183<11> * 191218066969<12> * 1543972898449<13> * 6392427361093<13> * 456502382570032651<18> * 799168560350388247<18> * 5109058208476393180327<22> * 8750837691368237182681<22> * 610600386089858349939139<24> * 4067568702062638144916699<25> * 17764334637927138067713031681<29> * 978560408745534111974975969893<30> * 2212012955306294098346533984373<31> * 2725123511009594780862433166413<31> * 1756473376297178637489284481878718601<37> * 21689196734582708053660794891232689909538844325990924677397646308082829007403196597363377256966074584447477581688161456723290029877534439668145537718911503<155> * [4861154191...<432>] * [9302782407...<1429>] * [7182455750...<4448>] * [4879593443...<13468>] (2.73%)
10^20332+1 = 1000000000...<20333> = 73 * 137 * 2393 * 1580801 * 53635817 * 152533657 * 339137761 * 18157004633<11> * 219076974689<12> * 306745325017<12> * 43365436263433<14> * 74923940370137<14> * 1754696500121460304617371593<28> * 632527440202150745090622412245443923049201<42> * 65552746171882583264230070868884366877803237222654400793<56> * 4178437150016715837818641871709193476807772628503969494400330129962348520684914375257<85> * [2479949603...<716>] * [1000099999...<1057>] * [2306214548...<1395>] * [1381925352...<16859>] (1.52%)
10^20333+1 = 1000000000...<20334> = 11 * 300561569297051<15> * [3024641211...<20318>] (0.08%)
10^20334+1 = 1000000000...<20335> = 101 * 9901 * 203341 * 813361 * 415870969 * 126922021909<12> * 889486903661<12> * 240313016971670701<18> * 327549387750385269446389<24> * [4631927705...<6747>] * [3532159135...<13498>] (0.44%)
10^20335+1 = 1000000000...<20336> = 11 * 167 * 197 * 491 * 997 * 9091 * 18131 * 116201 * 122011 * 909091 * 3565183 * 4147571 * 374425451 * 2097307081<10> * 60176593933<11> * 194927202331<12> * 133750441857761<15> * 265212793249617641<18> * 4686412205793183223<19> * 7742098247001476863<19> * 8611567866083842493<19> * 18471432177061658369<20> * 653518704357372488880162997801<30> * 22284639767043539427670611660521<32> * 5076141624365532994918781726395939035533<40> * 33924399706846018566481718349000999107579<41> * 166854369766695909292136736839975373279641<42> * 339253988826893206353360433625657116128281<42> * 943176903141330068482602900960294299878841<42> * 171885313809023973316297299617001972028698082056007969699724137675797535402763434997577528908814962221209301350715566313549141490281<132> * [4466327524...<232>] * [2417949630...<410>] * [9091000909...<1968>] * [1341457011...<3388>] * [3143643537...<13746>] (2.92%)
10^20336+1 = 1000000000...<20337> = 353 * 449 * 641 * 1409 * 69857 * 1353089 * 10935809 * 60690880417<11> * 100903134230125793<18> * 1949975276463991211904463972906337<34> * 13561688366760553057065247502881760958056321<44> * [4983207363...<424>] * [5082369529...<590>] * [1647694007...<19190>] (0.66%)
10^20337+1 = 1000000000...<20338> = 7 * 11 * 13 * 828416170468418046811619<24> * 2367565491078231804673738357380037<34> * [4635074788...<6721>] * [1098901098...<13557>] (0.30%)
10^20338+1 = 1000000000...<20339> = 101 * 2295612823069<13> * [4313005224...<20324>] (0.07%)
10^20339+1 = 1000000000...<20340> = 11^2 * 23 * 4093 * 8779 * 2196613 * 12277361 * 47091881 * 57009401 * 2182600451<10> * 2415697087<10> * 33076064143<11> * 134817912835665379<18> * 38989100838678520333<20> * 18065356669522314875053<23> * 7306116556571817748755241<25> * 26582200910768587595398699258026449<35> * [6087694775...<336>] * [2089064044...<1780>] * [3376749553...<18037>] (0.92%)
10^20340+1 = 1000000000...<20341> = 73 * 137 * 2713 * 3169 * 36161 * 98641 * 170857 * 1676321 * 42777281 * 99990001 * 217294481 * 265183201 * 1763670553<10> * 5691376081<10> * 5964848081<10> * 303412403761<12> * 390616356961<12> * 13570244064721<14> * 3199044596370769<16> * 3004663012668187601<19> * 556640908931364177601<21> * 23496896216135822356297<23> * 958199619198582092108713<24> * 62575127921627864148198721<26> * 100009999999899989999000000010001<33> * 95853807664312827399794371014650641<35> * 83589345589492067422548510022510208449<38> * 1348606125476250057822672599759090486161<40> * 39340929985040037939860550511566010202173435808159761<53> * [1145207867...<390>] * [2609571800...<822>] * [8717748105...<1731>] * [5852847703...<2683>] * [5463661515...<3532>] * [1796490311...<10732>] (2.23%)
10^20341+1 = 1000000000...<20342> = 11 * 9153451 * 18584269877<11> * 29685945788117<14> * [1800221981...<20310>] (0.16%)
10^20342+1 = 1000000000...<20343> = 29 * 101 * 281 * 87181 * 401029 * 121499449 * 3318355589<10> * 14149837081<11> * 103022959861<12> * 304450577201<12> * 22275838413061<14> * 68494433594269<14> * 1076635725852006193342481<25> * [3563809582...<2812>] * [3317451421...<17413>] (0.58%)
10^20343+1 = 1000000000...<20344> = 7 * 11 * 13 * 81373 * 271241 * 1125647 * 14728333 * 83935219 * 1197054866569<13> * 958037625753757<15> * 830854890946692211<18> * 15353741655549410028804307084051<32> * [1584735385...<6713>] * [1402934611...<13521>] (0.54%)
10^20344+1 = 1000000000...<20345> = 17 * 5882353 * 69942673 * [1429742311...<20329>] (0.08%)
10^20345+1 = 1000000000...<20346> = 11 * 131 * 859 * 5009 * 9091 * 37561 * 9139601 * 34399327 * 490721401 * 1058313049<10> * 92311212001<11> * 5902713079121<13> * 2302646659900091<16> * 17439918279979521880701811<26> * 1074844665139845442819616837<28> * 8396862596258693901610602298557167100076327481<46> * 3942061217624131929520541160207424212724650028976527<52> * 589855742530873303648997100606906463934277315614405401704255573694516882878454393085805024793769310885400567<108> * 72617518122470447454518812762092739764061943025353225549543353013253141910591452067570296901386356517079584442320341255503<122> * [8643661684...<1185>] * [3197736978...<3737>] * [3138520616...<14955>] (2.31%)
10^20346+1 = 1000000000...<20347> = 101 * 9901 * 203461 * 831802864637449<15> * [1190304881...<6766>] * [4964091349...<13555>] (0.13%)
10^20347+1 = 1000000000...<20348> = 11 * 1906843121581451<16> * [4767518097...<20331>] (0.08%)
10^20348+1 = 1000000000...<20349> = 73 * 137 * 40697 * [2456937882...<20340>] (0.04%)
10^20349+1 = 1000000000...<20350> = 7^2 * 11 * 13 * 19^2 * 103 * 127 * 647 * 2053 * 2143 * 2689 * 4013 * 13567 * 17851 * 40699 * 52579 * 108529 * 197677 * 459691 * 569773 * 738379 * 909091 * 1098847 * 1348849 * 1458973 * 2142001 * 3014047 * 3089173 * 5274739 * 5364487 * 5397841 * 5738419 * 832339891 * 1446176299<10> * 1685362967<10> * 1868879293<10> * 4410785971<10> * 6454390783<10> * 21993833369<11> * 40278647809<11> * 276402747619<12> * 291078844423<12> * 713061605611<12> * 1644353478367<13> * 2405782797823<13> * 2911579215499<13> * 14934261604921<14> * 425991366045253<15> * 909090909090909091<18> * 11412245805463289333<20> * 16405337754548889997<20> * 377526955309799110357<21> * 1078893279821424911891<22> * 1197498027591481692133<22> * 5673320472670315859129<22> * 14194916020370270209249<23> * 73908450134159562903703<23> * 247025236977306025681323889<27> * 307010852070382484317401373<27> * 498980288509112776905048259<27> * 1512142910568778709935813681<28> * 189772422673235585874485732659<30> * 237496748126669166794404728277<30> * 753201806271328462547977919407<30> * 139370164384644050314672704643967<33> * 5444073360171020940740845499007280330687<40> * 61828645758322140842666144519962696417487<41> * 72021403933746126426491665754465510017877<41> * 17499101101496101893247811440257935152097401<44> * 9284668536078237580134472469990637899155265743957<49> * 157393477257579000092993572752789683416120273639369<51> * 6508684267533856834852965580950145565983063793936631379<55> * 103746647830421551242486430622636901002236971549990724717454338463<66> * 298705372736554351789156294144090138390916509553983003911433879637774413<72> * 13147963643704652632557279758698587212033283223333451187877069162714784603584406816150353817835190742091970171<110> * 40035620418199159948776350763252140477472791476548845372200559635028684381015278952822428460800436345936412694554672982482829838608416302164821877697601124434554975414863<170> * 50977541370231360097422604330793793064304571681703551061560590392185357117757553184746462337689256059548993949459969138428154776147453363952154496055738664500588151369161896201893451398241<188> * [2518180943...<539>] * 1695279961...<546> * [8636219345...<566>] * [3152443419...<1622>] * [2204138156...<1674>] * [9409506295...<3395>] * [3061540126...<10356>] (10.81%)
10^20350+1 = 1000000000...<20351> = 89 * 101 * 149 * 661 * 1481 * 3109 * 3541 * 3701 * 15541 * 18041 * 24421 * 27961 * 32561 * 60101 * 68821 * 111149 * 115589 * 148721 * 2471701 * 7019801 * 348310601 * 486904001 * 1052788969<10> * 1056689261<10> * 1121407321<10> * 6336499381<10> * 7716573481<10> * 11281917901<11> * 49058754361<11> * 74615611921<11> * 708840373781<12> * 2786425101241<13> * 4098464044501<13> * 14103673319201<14> * 33965532782501<14> * 1680588011350901<16> * 26860773000292529<17> * 51474579992046301<17> * 107771345624719321<18> * 417611173194342975101<21> * 669031686661427842829<21> * 133157371602664723858501<24> * 475941529644339249381661<24> * 16206170837408945509907221<26> * 205318543715430308622381401<27> * 212890462662706052906860201<27> * 1395900370916327245555441901<28> * 1813899826675724531809127701<28> * 40548140514062774758071840361<29> * 49094895915282817628267672401<29> * 63525746267924919262185230801<29> * 36380545029953205956377406702261<32> * 80622744652166457696395245164203461<35> * 62852334561102184776611814389255232678243901<44> * 3668996113223183559833250396711179251902642533701<49> * 16110638360992570900426742492996398052881460699696765138501<59> * 126239370797267198368490274128272780260464262689211651471701<60> * 271880675850180367872653023164942909880799363524216099671322919521<66> * 1106856391195125605067659687372491496603851278760356356904482039681<67> * 626055461692786521088697527599460905632342461236940562171461942282321<69> * 800107125395206239935430877758693441879338279715986854168759198643184320615090047781735227652512476232674239391299478587112475352432305219301<141> * [1504430733...<649>] * 4256146242...<673> * 1726229049...<685> * [2145395820...<1369>] * [7955362224...<1412>] * [6033027477...<7161>] * [5568390193...<7173>] (12.72%)
10^20351+1 = 1000000000...<20352> = 11 * 1733 * 6299 * 55783879554131<14> * 263884239405811<15> * 4855067598095567<16> * 297262705009139006771611927<27> * 9403727541...<415> * [4168494497...<19858>] (2.42%)
10^20352+1 = 1000000000...<20353> = 257 * 15361 * 81409 * 434689 * 453377 * 859393 * 7693057 * 22061569 * 71826359809<11> * 33649448872371457<17> * 145778507161340929<18> * 142018149548859447798990430842371897431582393270575475042667940048026473157944321<81> * 55871187633753621225794775009016131346430842253464047463157158784732544216230781165223702155223678309562822667655169<116> * 38425031666569023499290434804662265509189764624919574336880482034091688791929134441331363930601958862159411412508866084507001318401<131> * [6310732147...<6638>] * [1596719501...<13301>] (2.03%)
10^20353+1 = 1000000000...<20354> = 11 * 15436514095957<14> * [5889224104...<20339>] (0.07%)
10^20354+1 = 1000000000...<20355> = 101 * 40709 * 46203581 * [5263959693...<20340>] (0.07%)
10^20355+1 = 1000000000...<20356> = 7 * 11 * 13 * 47 * 139 * 211 * 241 * 691 * 1889 * 2161 * 2531 * 9091 * 31051 * 7612771 * 11313931 * 2350106881<10> * 5459968207<10> * 60247408327<11> * 127688571001<12> * 194656286401<12> * 339128467081<12> * 143574021480139<15> * 492087392670451<15> * 549797184491917<15> * 22312640768303969<17> * 968385024074451409<18> * 2676157881043509853<19> * 1090805842068098677837<22> * 2353867026803341982771<22> * 25602601418102182972721<23> * 256387471158747287936251<24> * 6628925590922901572512321<25> * 24649445347649059192745899<26> * 193428272579096534429098931<27> * 803454205095303821868753731<27> * 3203031926532314264104769060847481<34> * 4411922770996074109644535362851087<34> * 219734968010040680865912320713950289<36> * 7386441591567953769105190285927615814299177561<46> * 15918798843849477568899983937931966555877132981347465830696251648192619376266439940521<86> * 43810325613739522298108991741277641747137547565878057174130075470872858289958280148759277150273598401<101> * 1174468140649914584097264138153408637853221082957239399275046690523556598768034374284436218737159495708861498925726659983288086179744161<136> * 1372785208...<440> * [6475882285...<1253>] * [1321028664...<2505>] * [1140669414...<5084>] * [1098890109...<10209>] (6.42%)
10^20356+1 = 1000000000...<20357> = 73 * 137 * 7841 * 63977 * 1791329 * 8264537 * 9485897 * 29882609 * 131472522094043593<18> * 41223329584252186793<20> * 127522001020150503761<21> * [3996789080...<2873>] * [1719475671...<17387>] (0.48%)
10^20357+1 = 1000000000...<20358> = 11 * 81655102693<11> * 179619376347161<15> * [6198274437...<20331>] (0.13%)
10^20358+1 = 1000000000...<20359> = 101 * 109 * 349 * 521 * 2089 * 3121 * 9049 * 9901 * 38861 * 122149 * 135721 * 153469 * 618049 * 997369 * 4616569 * 31753261 * 594250021 * 1108860589<10> * 1452031741<10> * 2081839241<10> * 5048897101<10> * 114550003829<12> * 803137587589<12> * 999999000001<12> * 14389811605801<14> * 14583568490089<14> * 53397071018461<14> * 15565833747318241<17> * 257100336175162366849<21> * 1900381976777332243781<22> * 11761957262582764997761<23> * 20503481147559750714229<23> * 157002934023127338801841<24> * 499784810552894297335321<24> * 650879996698098220470166549<27> * 59779577156334533866654838281<29> * 4477350074169470752905544969081<31> * 6060517860310398033985611921721<31> * 117609798518967483441609863271124249<36> * 925473240150495502771483432977308389<36> * 11811806375201836408679635736258669583187541<44> * 60567370378102931159842571650342558304322238516849<50> * 722898512786203801042951920020842806081459364277150501545096737658329011666631945714409<87> * 2957270207...<219> * 1000000000...<433> * [5751998314...<629>] * [7341722373...<966>] * [7161543299...<1311>] * [1206922951...<3999>] * [9999999999...<12096>] (6.67%)
10^20359+1 = 1000000000...<20360> = 11 * 93045149699<11> * 7589102072411<13> * [1287428686...<20335>] (0.12%)
10^20360+1 = 1000000000...<20361> = 17 * 5070721 * 5882353 * 236763662897<12> * 388164051521<12> * 21646220324338867681<20> * 5668041536949494763169457<25> * 19721061166646717498359681<26> * [7451640959...<4028>] * [1190152511...<16226>] (0.53%)
10^20361+1 = 1000000000...<20362> = 7 * 11^2 * 13 * 23 * 4093 * 8779 * 23447 * 515813 * 10676569 * 49070011 * 485406241 * 599144041 * 183411838171<12> * 101376459793291<15> * 52742386739997331610882533<26> * 45135180224672561394876945851667198023<38> * [1665377017...<569>] * [1951493538...<1200>] * [2211257957...<6139>] * [1874718376...<12312>] (0.71%)
10^20362+1 = 1000000000...<20363> = 101 * 17185529 * 20410709884918085599309<23> * 1813805801108099782353481<25> * 550616760560784841179016309<27> * [2826294399...<20280>] (0.41%)
10^20363+1 = 1000000000...<20364> = 11 * 909091 * 100671976631143<15> * 15244095098276903<17> * [5963560993...<2892>] * [1092657487...<17435>] (0.18%)
10^20364+1 = 1000000000...<20365> = 73 * 137 * 13577 * 99990001 * 20822978059649<14> * 698481676106763837649<21> * [5063547587...<6746>] * [1000099999...<13569>] (0.25%)
10^20365+1 = 1000000000...<20366> = 11 * 9091 * [9090909090...<4072>] * [1099989000...<16289>] (0.02%)
10^20366+1 = 1000000000...<20367> = 101 * 407321 * 28559389 * 1491383821<10> * 2324557465671829<16> * 81863592749761950613351785233690082041<38> * [1209449740...<1159>] * [2479616813...<19131>] (0.38%)
10^20367+1 = 1000000000...<20368> = 7 * 11 * 13 * 19 * 293 * 373 * 877 * 1117 * 44641 * 52561 * 52579 * 1415179 * 3601237 * 3590254957<10> * 247482272761<12> * 72598994856343<14> * 27314773463860978668379<23> * 217520263124953863588343<24> * 10826684964539959837294043117<29> * 909090909090909090909090909091<30> * 5830219322612939561246246317093<31> * 183372282864547916749018225828651<33> * 286578888976194997999922592330908602103011<42> * 18381907262281244633158190677786966663091011<44> * 3943828696311504418317587369596960932033847171<46> * 61144905745257441183391523202790304609284611733<47> * 4887054837129490444185770642291712106451445708466643483270887621857163512076927093556902832792696796518529880218993484798134507347686651311824503<145> * [1345733557...<422>] * [4027124740...<2138>] * [5762501673...<4283>] * [9990010000...<12960>] (2.78%)
10^20368+1 = 1000000000...<20369> = 353 * 449 * 641 * 1409 * 4289 * 69857 * 3031489 * 142983361 * 274438433 * 46134523949174257633<20> * 509784228912782456059937074337<30> * 57060943016570586495482365104744705358198487226448999934446131233808207036744145484562761542433<95> * 5781027809699670982923066276961517370230745596931095554485247693107795262271528712840958833270594810840162223912128043002803675468602053212831240543425351530884548678958775494494557904673<187> * [9913602802...<1003>] * [2548411566...<18992>] (1.83%)
10^20369+1 = 1000000000...<20370> = 11 * 40739 * 1263558360828507091<19> * [1766044508...<20346>] (0.12%)
10^20370+1 = 1000000000...<20371> = 29 * 61 * 101 * 281 * 389 * 421 * 3541 * 3881 * 5821 * 9901 * 27961 * 226549 * 353081 * 1181461 * 2095201 * 3471301 * 4188901 * 5540641 * 6227401 * 13489841 * 14980681 * 39526741 * 111383161 * 121499449 * 503750101 * 1384194841<10> * 1505017081<10> * 42681134161<11> * 60368344121<11> * 103828831429<12> * 424451728681<12> * 781949726750461<15> * 2148967889399149321<19> * 4458192223320340849<19> * 24383805640055508641<20> * 112118675767542210961<21> * 848654483879497562821<21> * 2297013522490559870381<22> * 26911468805981982521881<23> * 5422939221250143727788109<25> * 8437208226003698462219081<25> * 16600328087704432183160401<26> * 139790941013628227711346421<27> * 48709839886317966288138915001<29> * 11862079363268778167396083543081<32> * 40128498666161709164974167710681<32> * 23888331928755038568489169001705089<35> * 282448028612066894256984424869264385801<39> * 5571625642084498030602199756991965375293044719417529765342701<61> * 78412655334235167606162810513004420610966509546603404268745999503561001<71> * 32459577600675557860942537579547020207960799876413377335594586605416959347268194103170247296625068200526946320832808609<119> * [1968115733...<283>] * [7931555379...<311>] * [6742009859...<377>] * [1455947423...<697>] * [1380660197...<743>] * [1009999999...<1153>] * [1461252900...<2226>] * [8101365876...<2248>] * [2110234235...<2287>] * [1467301331...<4586>] * [2164934870...<4603>] (4.24%)
10^20371+1 = 1000000000...<20372> = 11 * 859 * 438761 * 45671783 * 49705241 * 100936739 * 1058313049<10> * 2633807333<10> * [2052721482...<1553>] * [1839748816...<18768>] (0.25%)
10^20372+1 = 1000000000...<20373> = 73 * 137 * 617 * 11113 * 894115530929<12> * 16205834846012967584927082656402106953<38> * [1006309608...<1833>] * [1000099999...<18481>] (0.29%)
10^20373+1 = 1000000000...<20374> = 7 * 11 * 13 * 543281 * 869249 * 820321783112569<15> * [1925034859...<6779>] * [1339597608...<13566>] (0.15%)
10^20374+1 = 1000000000...<20375> = 101 * 1587221 * 81183810541<11> * 476103356904941<15> * 2853990102388049<16> * 411603787218349354280868589<27> * 1387401303965667453093373669<28> * 101444162656037151745878558385892753596849<42> * 198607499132490748242152175454768755769289<42> * 473422134866090530705347772603209509527842120964263087241<57> * 75743388768260974116327848920184337528059461788181539337429709<62> * 256791351938897604127766524249910803570004341949762240760779741<63> * 15082430268839895518120138007695651193149092773167884646166709770422465462163749312903859494420307404069<104> * [3538905054...<19905>] (2.30%)
10^20375+1 = 1000000000...<20376> = 11 * 251 * 653 * 5051 * 9091 * 13693 * 21001 * 30971 * 122251 * 162251 * 285251 * 2430331 * 3512651 * 3760411 * 10893295001<11> * 685857336361<12> * 78875943472201<14> * 14286890032106357<17> * 9903615620569964474761<22> * 549692094842681735580674239279801<33> * 66953479943839030979655991920753816099754871899<47> * 269409792871731627664586194662281233853701011108906726055753272681082282441709251<81> * 106288106156544189601112452124463274118441603168767263777500290285464677481570934480831778653<93> * [5721432892...<597>] * [1815610448...<3196>] * [8179892189...<16195>] (1.90%)
10^20376+1 = 1000000000...<20377> = 17 * 8929 * 1797617 * 2893393 * 5882353 * 587684593 * 4137082754209<13> * 6038185737858049<16> * 9999999900000001<16> * 48594525301213249<17> * 170410499116968001<18> * 56919753481426275422076961<26> * 111994624258035614290513943330720125433979169<45> * [5562920188...<2250>] * [5128130790...<4440>] * [9739615234...<13505>] (0.89%)
10^20377+1 = 1000000000...<20378> = 11 * 290249 * 909091 * 3632929 * 85266106823<11> * 19214818177409<14> * 4733987004506327<16> * 2670502781396266997<19> * 3404193829806058997303<22> * 257206104226396960131527490253249591680919459<45> * 31321069464181068355415209323405389541706979493156189716729115659<65> * 5724747847...<227> * [4276725442...<376>] * [3551070879...<2783>] * [1920349589...<16785>] (2.13%)
10^20378+1 = 1000000000...<20379> = 101 * 1289 * 18371524594609<14> * 55016821262017061<17> * 1715636541285455667635429<25> * 4181003300071669867932658901<28> * [5771030087...<860>] * [1835802172...<19432>] (0.43%)
10^20379+1 = 1000000000...<20380> = 7 * 11 * 13 * 67931 * 264464246717896441<18> * 16121723121510049703534095997<29> * [8300950972...<6759>] * [4155197205...<13567>] (0.26%)
10^20380+1 = 1000000000...<20381> = 73 * 137 * 32609 * 1418449 * 1676321 * 56330321 * 5964848081<10> * 115366777921<12> * 700138744040321<15> * 161152606309703520071089<24> * 935691385845929911240971439606855630225681<42> * [3635038912...<3974>] * [8668873466...<16277>] (0.64%)
10^20381+1 = 1000000000...<20382> = 11 * 179 * 366859 * 12147237304901893<17> * 2317091604522004723965449<25> * 22122368173743271094350225612207534262957<41> * 13270807703600518273110858480695033043595534787235597140531<59> * 4180967272673252032291190917188955510245874180001164839931077197586653<70> * 1336395914067475494619360928220680511145198857935330550248985354190742963795052553003443246310484435548877<106> * [2998427188...<20059>] (1.58%)
10^20382+1 = 1000000000...<20383> = 101 * 5689 * 9901 * 10429 * 132721 * 338669 * 4891681 * 10881419869<11> * 332910709070869<15> * 46247522615459601781<20> * 27757199410337492327269<23> * 1963998331157250645690809<25> * 27992873593520031850598509<26> * 8045181580990560114237163201<28> * 507998564486483655774880939989709<33> * 13441721102334727627682496494535257828666281<44> * 202026760686388880964731015757788959143121139209<48> * 46229724820742226005075125617528225785246749164469<50> * 646301962916453492325383567253991760083617720844121<51> * 530084044837791203267418958734478905892862260111193658629289735929681<69> * 2923500556298303355222653948542706598448925085853709961673200056984872843366529<79> * 7296903902...<303> * [5518296233...<6488>] * [1449009542...<13046>] (4.17%)
10^20383+1 = 1000000000...<20384> = 11^2 * 23 * 103 * 4013 * 4093 * 8779 * 81533 * 192611 * 21993833369<11> * 1284680342573<13> * 3338786746233023<16> * 6315203673292075607<19> * 125797399492676917721<21> * 88735662850196739797693338555620259<35> * 14060959683864286267405933000927102019<38> * 19364383321148719295180578853325741855858987848620134943<56> * 55957395872359820769658435528889482277826574998014018514928782197341726428854387236670658714503098749571<104> * [1099999999...<1081>] * [1239636877...<1694>] * [1114997496...<17276>] (1.64%)
10^20384+1 = 1000000000...<20385> = 3137 * 3329 * 19841 * 976193 * 6187457 * 6314881 * 9013889 * 17489473 * 1635781057<10> * 834427406578561<15> * 23875402850452609<17> * 886006033880598401<18> * 43094132621494054981889<23> * 3571584380218268985291563501569<31> * 17678143277867879639053562401217<32> * 417067672004431016027567793820801<33> * 707285850117624346067550937755073<33> * 3389990665995333265366836872252020333482336548986397735456228533820597306799173793346530834741952645058293656375786341106265537<127> * [2985191378...<336>] * [8348926887...<1300>] * [1711645846...<2265>] * [2394818301...<16105>] (1.86%)
10^20385+1 = 1000000000...<20386> = 7 * 11 * 13 * 19 * 211 * 241 * 2161 * 6481 * 9091 * 22651 * 29611 * 38053 * 40771 * 52579 * 72481 * 133183 * 481087 * 2761489 * 3762091 * 9463171 * 70541929 * 181288487 * 293030299 * 5780201179<10> * 14175966169<11> * 123394808161<12> * 153653579173<12> * 577603663291<12> * 8985695684401<13> * 28594087826041<14> * 31023833790241<14> * 352415012896091<15> * 514317473256331<15> * 5709307758717571<16> * 6227951681897047<16> * 531523386298753561<18> * 12331942624071394811<20> * 36117943403747426761<20> * 595697094980552946577201<24> * 154008305796493360639546122691<30> * 2646756758131654397378192081701748003041997<43> * 8610583349234340055547908764091017276717091<43> * 999882306178377345161889846655198592766347086896770989636138585751423<69> * 2622958847...<286> * [4339062946...<517>] * [1010931938...<851>] * [1614297466...<1170>] * [8354548275...<2647>] * [9990010000...<3600>] * [2452723747...<10796>] (3.96%)
10^20386+1 = 1000000000...<20387> = 101 * 170277483465754981<18> * [5814620874...<20367>] (0.09%)
10^20387+1 = 1000000000...<20388> = 11 * 59 * 1103 * 7253 * 128761 * 3322009 * 658931447 * 6416791721<10> * 94700896757<11> * 480515433127<12> * 422650073734453<15> * 1259003348274263<16> * 19054214531558771<17> * 246674237689788343<18> * 296557347313446299<18> * 909090909090909091<18> * 12673175356035951872216041<26> * 147670347895842655770227813<27> * 154083204930662557781201849<27> * 588831771788611721102815421599303<33> * 2689733081149583259955660466703961213355942983143965614283081<61> * [2473501391...<403>] * [3105141899...<591>] * [5229866772...<930>] * [1891907827...<18133>] (1.63%)
10^20388+1 = 1000000000...<20389> = 73 * 137 * 99990001 * 4340688383041<13> * 5641420397056777<16> * 896476518678525710122313<24> * [1977102520...<6753>] * [2304012432...<13572>] (0.32%)
10^20389+1 = 1000000000...<20390> = 11 * 435712931 * 126161596968304093954129<24> * [1653787435...<20357>] (0.16%)
10^20390+1 = 1000000000...<20391> = 101 * 3541 * 24469 * 27961 * 7748201 * 8319121 * 25866600911881<14> * 358884393547861<15> * 2053784096881841<16> * 8473192923111821<16> * 54839775227068722641<20> * 2348575440904899312209321<25> * [1564310796...<4059>] * [1918084769...<8070>] * [1015590481...<8132>] (0.65%)
10^20391+1 = 1000000000...<20392> = 7^2 * 11 * 13 * 127 * 2689 * 459691 * 909091 * 44924287 * 48812171 * 95198783 * 503547007 * 20089740266569<14> * 8392200095843491<16> * 1400463153013209132373<22> * [2219235344...<947>] * [4857775001...<1924>] * [1155476840...<5813>] * [3234412651...<11606>] (0.51%)
10^20392+1 = 1000000000...<20393> = 17 * 5882353 * 2554757844337<13> * [3914265268...<20372>] (0.10%)
10^20393+1 = 1000000000...<20394> = 11 * 48576127 * [1871476721...<20385>] (0.04%)
10^20394+1 = 1000000000...<20395> = 89 * 101 * 3709 * 9901 * 18541 * 652609 * 801341 * 346973629 * 1052788969<10> * 1056689261<10> * 5419170769<10> * 10705852961<11> * 79082656489<11> * 999999000001<12> * 5439760205641<13> * 29286597879221<14> * 789390798020221<15> * 2361000305507449<16> * 16522472857703341<17> * 17001340047779821<17> * 2676622210882563600829<22> * 11402058293429243574781<23> * 1538607523068637497164701<25> * 4919341451305222751221981<25> * 122708016673764191207130969289<30> * 33670587927455442579575167786879669<35> * 95000575486937988681435170477136054984821<41> * 8218476795659338409712353841905411607826230659151143998522545586866704239099075512109<85> * 13189107332310223355029963340219071854700685799054091470161603102678459019911637791726472505162050327675229109<110> * [3147469726...<371>] * [7893329054...<1119>] * [9434091834...<2030>] * [9182288940...<4058>] * [9999990000...<12240>] (2.83%)
10^20395+1 = 1000000000...<20396> = 11 * 9091 * 29319853 * 78255574211<11> * 66727097725543<14> * [4646685620...<4057>] * [1405636609...<16302>] (0.18%)
10^20396+1 = 1000000000...<20397> = 73 * 137 * 476960486894898795409<21> * [2096400094...<20372>] (0.12%)
10^20397+1 = 1000000000...<20398> = 7 * 11 * 13^2 * 157 * 859 * 6397 * 216451 * 489529 * 837847 * 9429691 * 1058313049<10> * 388847808493<12> * 8547987443797<13> * 3920488472716099<16> * [2318820512...<507>] * [1627168587...<1019>] * [1099999999...<6265>] * [1858929705...<12523>] (0.42%)
10^20398+1 = 1000000000...<20399> = 29 * 101 * 281 * 6581 * 8681 * 45121 * 326369 * 1471289 * 2049349 * 106300489 * 120995729 * 121499449 * 354968629 * 4069401001<10> * 363981764441<12> * 839304797549<12> * 15968076507209<14> * 113596716377259641<18> * 228477357544328125938170269<27> * 2144906157509411684424913774078958939881<40> * 1023037643093214557651333120422980213172396059301<49> * 483128549554512237305554588359039822397307149685578249<54> * [2485230579...<329>] * [2586876788...<517>] * [4420569332...<2734>] * [5562460339...<16520>] (1.47%)
10^20399+1 = 1000000000...<20400> = 11 * 28860382807<11> * 122946484435303<15> * [2562058917...<20374>] (0.13%)
10^20400+1 = 1000000000...<20401> = 97 * 353 * 449 * 641 * 1409 * 4801 * 5441 * 43201 * 69857 * 177601 * 206209 * 980801 * 1634881 * 9449281 * 18453761 * 24561601 * 58627969 * 3156663361<10> * 66554101249<11> * 947147262401<12> * 75118313082913<14> * 2183076518899201<16> * 436332246798878401<18> * 322751702627738099289601<24> * 94231159822538495255337526081<29> * 39127329514182768921189838418689<32> * 4444442797021732533861519689020084897<37> * 8274466617334672110426476083265843201<37> * 349954396040122577928041596214187605761<39> * 1786971871341978412769793172635403245447905376001<49> * 315091637261160879997346594408168422516385623286349240690538356681453806401<75> * 32834183607181658456698862190332942753904274373750127864196636481293558631166688587638325415670849<98> * 627810998673389218825263319860513240289438361646700648804034810302457438784160932972184864281054744807682885907521<114> * [4915793084...<306>] * 1821688856...<435> * [3098357008...<617>] * [7918917855...<1006>] * [1061220090...<2020>] * [2291831528...<5103>] * [4580691475...<10225>] (5.52%)