10^3001+1 = 1000000000...<3002> = 11 * [9090909090...<3000>] (0.03%)
10^3002+1 = 1000000000...<3003> = 101 * 5689 * 104871869 * 928320469 * 10930852381<11> * 156324221568569<15> * 722817036322379041<18> * 1369778187490592461<19> * 1455690913618419154081<22> * 507998564486483655774880939989709<33> * 646301962916453492325383567253991760083617720844121<51> * 530084044837791203267418958734478905892862260111193658629289735929681<69> * [4170757736...<2746>] (8.54%)
10^3003+1 = 1000000000...<3004> = 7^2 * 11^2 * 13^2 * 23 * 127 * 157 * 463 * 859 * 2689 * 4093 * 6007 * 6397 * 8009 * 8317 * 8779 * 24179 * 36037 * 51767 * 102103 * 216451 * 459691 * 590437 * 909091 * 7444361 * 21705503 * 599144041 * 1058313049<10> * 22144088539<11> * 109313560357<12> * 183411838171<12> * 264752347289<12> * 388847808493<12> * 17889112212973<14> * 210991557708361<15> * 9648514859631649<16> * 4539402627853030477<19> * 104730101107272149081<21> * 216031795247629116757<21> * 4924630160315726207887<22> * 21073633036311130293019<23> * 136094982876222218559943<24> * 80216851991399964961367677<26> * 4398526783100422870888251951691<31> * 82618024434905595106111659338321<32> * 1127405843603847671204058787760709019<37> * 50678387411703889101759125785290439894389920385627096501794498837<65> * 34607524609209512562213651270561528862879196390936320471942325254862879783<74> * 803956626149925031112757148192164970057208483589704631288984124647169634536861236854805849361<93> * 8912569571903773640423787742857701624820835919699625957033503601168338923351027082278688276455237261214743926133405384757726021771250608797<139> * 2034912907341890579508004374922618204834574380623196103952624440743420129331724300035272820537860281632850134325283932163005113368044494901325885217871107832645761419<166> * [5817850330...<653>] * [7436027400...<1348>] (33.38%)
10^3004+1 = 1000000000...<3005> = 73 * 137 * [9999000099...<3000>] (0.13%)
10^3005+1 = 1000000000...<3006> = 11 * 6011 * 9091 * 431932691 * 1200234263<10> * 4393806969952149653<19> * 417788383944922211471859147481<30> * 730010767233437179325511388630469450917<39> * 12319072731805329005802468132076248505842564849805129<53> * [4437894368...<473>] * [4380112381...<2367>] (5.51%)
10^3006+1 = 1000000000...<3007> = 101 * 9901 * 114229 * 123005521 * 999999000001<12> * 476103356904941<15> * 411603787218349354280868589<27> * 1387401303965667453093373669<28> * 11330146155773631399355243982343786649<38> * 198607499132490748242152175454768755769289<42> * 473422134866090530705347772603209509527842120964263087241<57> * 256791351938897604127766524249910803570004341949762240760779741<63> * 15082430268839895518120138007695651193149092773167884646166709770422465462163749312903859494420307404069<104> * [7803852504...<622>] * [8129724518...<1984>] (13.31%)
10^3007+1 = 1000000000...<3008> = 11 * 318743 * 123144780929<12> * 5064322364518836623<19> * 102527361354613106010527<24> * 909090909090909090909090909091<30> * 323338434891034089173475790125293<33> * 27422699366054621683295623079471066588881<41> * [5533688091...<2845>] (5.40%)
10^3008+1 = 1000000000...<3009> = 12092161 * 1265011073<10> * 4927940470657<13> * 13105110982717057<17> * 99791904460392449<17> * 15343168188889137818369<23> * 79405741087335426622525127411969<32> * 515217525265213267447869906815873<33> * [1616005031...<2860>] (4.95%)
10^3009+1 = 1000000000...<3010> = 7 * 11 * 13 * 103 * 1889 * 4013 * 30091 * 355063 * 21993833369<11> * 60247408327<11> * 291078844423<12> * 56193652425649663<17> * 968385024074451409<18> * 2676157881043509853<19> * 377526955309799110357<21> * 1090805842068098677837<22> * 9785133294465408522174619<25> * 3203031926532314264104769060847481<34> * 4411922770996074109644535362851087<34> * 219734968010040680865912320713950289<36> * [1099999999...<929>] * [1548978345...<1805>] (9.20%)
10^3010+1 = 1000000000...<3011> = 29 * 101 * 281 * 421 * 3541 * 7741 * 12041 * 27961 * 338669 * 1474901 * 3471301 * 13489841 * 121499449 * 60368344121<11> * 1044817620601<13> * 1334284876121<13> * 732090880253461<15> * 2198478623863901<16> * 848654483879497562821<21> * 62997514894345258734433816429<29> * 377659045698120991814418877959941381<36> * 7549370642855106064318428883982856249713821<43> * 25952425701164771267909650146969715313745485201<47> * 2923500556298303355222653948542706598448925085853709961673200056984872843366529<79> * 21980826109373183943087013239828174324083831078225247586850633941390323492044945842110985914964169190119801<107> * 342299931502412489149047988893055568468794699959932177819733894222776497629919381410405213349176797123378801504531160389523331369411970776284398551350113041<156> * [6177603061...<429>] * [7020098041...<960>] * 2152764735...<984> (53.87%)
10^3011+1 = 1000000000...<3012> = 11 * 9090909090...<3010> (100.00%)
10^3012+1 = 1000000000...<3013> = 73 * 137 * 12049 * 48465089 * 88631113 * 99990001 * 122256314953<12> * 48584622189833<14> * 97896927315612782469089<23> * [4894107047...<948>] * [6789239381...<1985>] (2.64%)
10^3013+1 = 1000000000...<3014> = 11 * 47 * 139 * 263 * 2531 * 2078971 * 1397382241<10> * 306662501757259<15> * 549797184491917<15> * 61581883029814914853<20> * 525786373041914526306757<24> * 112506283680098168752627601991569<33> * 1363608083180796048411168783196497071688492468691<49> * [8591941064...<2834>] (5.94%)
10^3014+1 = 1000000000...<3015> = 89 * 101 * 6029 * 85362509 * 718606649 * 1052788969<10> * 1056689261<10> * 40160350429<11> * 5019860493450626737685896081<28> * 11621897163409200201223887528138662702903389700229845471814520224606678003269<77> * 1651732052430074361873884440693609861769561877782463897348222686035759826875067120033981<88> * 178720049686128661890023146702383771619725932844782734965468342419910154928823674286045929<90> * [3909464470...<2681>] (11.06%)
10^3015+1 = 1000000000...<3016> = 7 * 11 * 13 * 19 * 211 * 241 * 2011 * 2161 * 7237 * 9091 * 29611 * 52579 * 667321 * 3762091 * 248807851 * 7261216121<10> * 17830074841<11> * 8985695684401<13> * 851109498533797<15> * 9773353949339251<16> * 1632942157382367303385801<25> * 45360300267343173645804799921<29> * 5106142986008803018248662015009851<34> * 909090909090909090909090909090909090909090909090909090909090909091<66> * 220589842618680198991086731354678488275926380957742565496334997548411735059<75> * 3027630197...<243> * [6130039539...<372>] * [2670656122...<489>] * [1022168034...<1569>] (19.46%)
10^3016+1 = 1000000000...<3017> = 17 * 929 * 1249 * 18097 * 23201 * 49297 * 182353 * 300977 * 648961 * 4465073 * 5882353 * 249227787818677482257<21> * 176306810935143548578378721<27> * 3114824318784041623490389014199610366824348609<46> * 333632766438409011274705987026407639670042305536743429073<57> * 4948797624251336428769758769452316283490536687091682910619153<61> * 369660333075000068856709492212454991557448976437779979434921265833995781602906344537626232976067313<99> * [3134182836...<2658>] (11.89%)
10^3017+1 = 1000000000...<3018> = 11 * 863 * 624089 * 909091 * 83098317121<11> * 7918920301131907813<19> * [2131493532...<403>] * [1323733052...<2570>] (1.51%)
10^3018+1 = 1000000000...<3019> = 101 * 9901 * 169009 * 1084469 * 8634648901<10> * 294438494401<12> * [3591056289...<977>] * [5976007135...<2003>] (1.28%)
10^3019+1 = 1000000000...<3020> = 11 * 52784197 * 397052358961<12> * 89538538857437<14> * 155826511451251<15> * 655789583524782985699474607<27> * [4740670273...<2944>] (2.50%)
10^3020+1 = 1000000000...<3021> = 73 * 137 * 36241 * 1676321 * 5072393 * 23954641 * 5964848081<10> * 571175402561<12> * 4057435588372081<16> * [8229131674...<586>] * [1190754205...<2369>] (2.19%)
10^3021+1 = 1000000000...<3022> = 7 * 11 * 13 * 3499 * 26183 * 1458973 * 2784091 * 8176841 * 56704171 * 54137839415767<14> * 909090909090909091<18> * 917813298871770308465539<24> * 26526333976234009593263527<26> * 753201806271328462547977919407<30> * 8558521377558885170560719135529<31> * 80130271534233515728987750894609<32> * 9090909090909090909090909090909090909090909090909091<52> * [6411964542...<893>] * [1604820216...<1865>] (8.74%)
10^3022+1 = 1000000000...<3023> = 101 * 4799617853861<13> * [2062870503...<3008>] (0.49%)
10^3023+1 = 1000000000...<3024> = 11 * 6047 * 1711019 * 19951801 * 1877701472842210063<19> * 1353945346772672194066774093<28> * [1732218723...<2960>] (2.11%)
10^3024+1 = 1000000000...<3025> = 97 * 353 * 449 * 641 * 673 * 1409 * 2017 * 13249 * 69857 * 206209 * 518113 * 1067329 * 1454209 * 9396577 * 196482241 * 43735845217<11> * 66554101249<11> * 75118313082913<14> * 9379643807081377<16> * 56763828581443201<17> * 77700458351603754241<20> * 364043768062956030782209<24> * 465149401935712615628055361<27> * 789462081785833165384754689<27> * 444470993852911599645279790849<30> * 20275219423179517169965224971521<32> * 217860610452031121598489279950204653537<39> * 27463289803537363527885340451375058863041<41> * 155944009296214054100626916003794407157304353<45> * 70716147055257711374123575798428608590219877617672752248112085912824160137075376116481<86> * 99866972524271704433794047804855032844718975174004188801858970187176731955358724384510844782429115617<101> * 6873201485...<237> * 1685768492...<551> * [2250351789...<1635>] (45.95%)
10^3025+1 = 1000000000...<3026> = 11^3 * 23 * 251 * 331 * 4093 * 4357 * 5051 * 5171 * 8779 * 9091 * 10891 * 25169 * 131891 * 193601 * 1485397 * 20163494891<11> * 45767868851<11> * 418780758001<12> * 1501539197401<13> * 78875943472201<14> * 102502981431359171598893<24> * 318727841165674579776721<24> * 1491273678477173069027664948012233844398077028447940172193498801<64> * 544471001372579296332291652675646774644208265246405598834086237345292487<72> * 44659135987047270733848138282609193992779311307114487270946545676364972087041313965550458035508373749740227131627209038723801<125> * [6961728477...<431>] * [2694914523...<2173>] (13.94%)
10^3026+1 = 1000000000...<3027> = 101 * 38449 * 138841 * 28559389 * 33043921 * 1491383821<10> * 2324557465671829<16> * 18547092770394661955046893866403953444141877738854819606028843831344546174591125346548473015452312338456023705554686130669604243301021812682716262365263155956618360389<167> * [3056537993...<2809>] (7.19%)
10^3027+1 = 1000000000...<3028> = 7 * 11 * 13 * 121081 * 123592845889<12> * 24498699495047<14> * 5630600680627007087<19> * 526905291628027093289<21> * 611315846418058041019<21> * 873234964696345278371172272680705837<36> * [9571423822...<903>] * [1797599563...<1996>] (4.25%)
10^3028+1 = 1000000000...<3029> = 73 * 137 * 411809 * 96392677603841<14> * [2518933455...<3005>] (0.78%)
10^3029+1 = 1000000000...<3030> = 11 * 859 * 42407 * 552677 * 1058313049<10> * 131293689927974865167<21> * 176951006482971097521769<24> * 16241105854680090866965401179<29> * 1448001069117595801434707271893<31> * 110421163951010447109232550481508448746817791459<48> * 1134592082241812086025433183314893126820787225096226178690913133518090766822711174696961498979544523242604228920675194370887660714303521711888923919224666398211<160> * [6233294098...<2698>] (10.93%)
10^3030+1 = 1000000000...<3031> = 61 * 101^2 * 3541 * 8081 * 9901 * 10909 * 18181 * 27961 * 60601 * 678721 * 4188901 * 32827021 * 39526741 * 3679329001<10> * 19384130081<11> * 545403048181<12> * 12793360409007449<17> * 185695566181687729<18> * 4908990488743183603681<22> * 55842108569020848834601<23> * 169729890102775297432749649<27> * 230582899823727547560244489<27> * 614794740059777766179873521<27> * 7340090264342391230983478941<28> * 5383539446793990416488818114381662511041<40> * 147987024898557331825270928295100820916509<42> * 10498042566741901780282937616325375954902715561<47> * 274709671055935535763734628625616947603714681537231287179261<60> * 2002446477...<276> * [5817242351...<373>] * [3494692488...<397>] * [1750609570...<738>] * [6245518016...<783>] (24.44%)
10^3031+1 = 1000000000...<3032> = 11 * 1733 * 909091 * 55783879554131<14> * 7144160276638301161253<22> * 7261669631404450683741293<25> * 9403727541...<415> * [2120337360...<2546>] (16.02%)
10^3032+1 = 1000000000...<3033> = 17 * 5882353 * [9999999900...<3024>] (0.26%)
10^3033+1 = 1000000000...<3034> = 7 * 11 * 13 * 19 * 52579 * 121321 * 566161 * 2838889 * 2251702571<10> * 26309261089<11> * 1795235500603453<16> * 1638838389679532281<19> * 55027074590990508852961<23> * 2406728090811807756161281<25> * 71489171229856447321502908314697600957469967193571<50> * 1687858617956114857563779160203327248258725852773131<52> * 621229558894454367540891695929541003114293128504188334503<57> * 102628202728030891704336946143527067063502899291229635778464234241801<69> * 7861197759376969310871284581062232753724157295719665271243468634881392447<73> * [2741158035...<609>] * [1340222837...<2000>] (14.03%)
10^3034+1 = 1000000000...<3035> = 101 * 149 * 3109 * 68389 * 111149 * 1308594541<10> * 708840373781<12> * 669031686661427842829<21> * 40548140514062774758071840361<29> * 1447745997018511893740076606031686237538345362413531560645573104006506749609<76> * [7718204289...<2871>] (5.38%)
10^3035+1 = 1000000000...<3036> = 11 * 9091 * 40063 * 42491 * 5681521 * 438366544203851<15> * 1470366704648366851<19> * 2391538437258788695617601<25> * 21506393120493988624437213019<29> * 421801744827632184936566672041<30> * [7175804659...<555>] * [1030394744...<2345>] (4.49%)
10^3036+1 = 1000000000...<3037> = 73 * 137 * 617 * 1657 * 2377 * 2393 * 4049 * 6073 * 16369 * 364321 * 432961 * 40864561 * 99990001 * 1469409649<10> * 6796152793<10> * 24387741577<11> * 126197002179733470481<21> * 283830826522232279893972777<27> * 38115215074391056784287931569<29> * 16205834846012967584927082656402106953<38> * 4178437150016715837818641871709193476807772628503969494400330129962348520684914375257<85> * 1077654773020602154835873595438016994801570811542710006429679112760889048401772560028378495799359646781326368530020399986158679489264953<136> * [6779715115...<871>] * [4029085224...<1749>] (13.72%)
10^3037+1 = 1000000000...<3038> = 11 * 18223 * 595253 * 150260934078053<15> * 1996164652951507321<19> * [2794109368...<2994>] (1.43%)
10^3038+1 = 1000000000...<3039> = 29 * 101 * 281 * 8681 * 2049349 * 4089149 * 106300489 * 120995729 * 121499449 * 5973698389<10> * 363981764441<12> * 460528005349315960169<21> * 483128549554512237305554588359039822397307149685578249<54> * 999999999999990000000000000099999999999999000000000000009999999999999900000000000001<84> * [2485230579...<329>] * [8889303365...<2483>] (7.46%)
10^3039+1 = 1000000000...<3040> = 7 * 11 * 13 * 12157 * 26339 * 222922807 * 754655501441<12> * [3762121986...<992>] * 4929514003...<2016> (67.37%)
10^3040+1 = 1000000000...<3041> = 1217 * 12161 * 19841 * 665153 * 976193 * 1601473 * 6187457 * 65384321 * 834427406578561<15> * 911712031611457<15> * 18542613285686578370456001857<29> * 89360919064107809136921297069895873<35> * 3928012193813155346711857127951417921651415863617<49> * 99999999999999999999999999999999000000000000000000000000000000009999999999999999999999999999999900000000000000000000000000000001<128> * [1988133518...<427>] * [8223007976...<2300>] (10.32%)
10^3041+1 = 1000000000...<3042> = 11 * 8179462849<10> * 158989823527<12> * 101707884622283117<18> * [6873193673...<3002>] (1.29%)
10^3042+1 = 1000000000...<3043> = 101 * 521 * 2029 * 3121 * 9901 * 89909 * 4058029 * 999999000001<12> * 53397071018461<14> * 1900381976777332243781<22> * 11761957262582764997761<23> * 6060517860310398033985611921721<31> * 117609798518967483441609863271124249<36> * 7249657507840161826942418511086116063748219199832125768043099150081<67> * 722898512786203801042951920020842806081459364277150501545096737658329011666631945714409<87> * 232372119876907280822321391951168183308631299658430083807589307649464986270410218850191981<90> * 6602301042905025014150499310047313448245682669011729128957515031149279442747958138479802877326014922521941710194942904921087201551745922931834010574449<151> * [4928536224...<621>] * [2464250501...<1866>] (18.27%)
10^3043+1 = 1000000000...<3044> = 11 * 103 * 4013 * 21993833369<11> * 3344406588236300462302157<25> * 523661705392754764972834211810001059<36> * 17360270948380236765442123580448180934246742941840774929827069381097446101825710313953633305039247538221205037054245870292654737645806593390849<143> * [3289073774...<2824>] (7.21%)
10^3044+1 = 1000000000...<3045> = 73 * 137 * [9999000099...<3040>] (0.13%)
10^3045+1 = 1000000000...<3046> = 7^2 * 11 * 13 * 59 * 127 * 211 * 241 * 1451 * 2161 * 2437 * 2689 * 6091 * 9091 * 19489 * 33931 * 459691 * 909091 * 4147571 * 30104611 * 46284001 * 58765601 * 243720583 * 1134434761<10> * 2172376081<10> * 4315282651<10> * 29970369241<11> * 70350656881<11> * 638453709757<12> * 2433146345771<13> * 135080726389891<15> * 176955031629601<15> * 1661378260814161<16> * 17996132431060961<17> * 265212793249617641<18> * 2563963356465898129<19> * 18276168846821336356291<23> * 154083204930662557781201849<27> * 1174705187104089640352756731<28> * 13569612563320403017443683179<29> * 1274194732898148471766404179653<31> * 16770055575939249091900247911180761721<38> * 97862727665480231246011008935563207741144491224418517422691228321<65> * 4266662839057986102285502119162080638872058454152278425256962985792707796691<76> * 3086378389952794464452477594457481658796144989454387663022612747109648355164040568369321<88> * 6656280510176649041177006666533233898159823895551612176879783493172755702305410407269034716016715927564139783<109> * [5159910365...<286>] * [3224721457...<661>] * [6209995782...<1330>] (25.25%)
10^3046+1 = 1000000000...<3047> = 101 * [9900990099...<3044>] (0.07%)
10^3047+1 = 1000000000...<3048> = 11^2 * 23 * 4093 * 8779 * 9419 * 9973 * 2583222779<10> * 32804087729124449<17> * 1412494497368989651<19> * 144369101867590935098246009385277<33> * 357860022058291030637547388712539215949789354777863692262948494477223727474739887<81> * 10468914499016579557201453341874912215225582139574447316416037464431191539530016363378410596200156667456521361543364087524984553450338741820813125049764526797163897841239696982641<179> * [1644385736...<2694>] (11.61%)
10^3048+1 = 1000000000...<3049> = 17 * 1647953 * 5882353 * 780781777 * 1054075392481<13> * 1573050734513<13> * 9999999900000001<16> * [4940635059...<981>] * [9486987526...<2004>] (2.08%)
10^3049+1 = 1000000000...<3050> = 11 * 177451801 * 1390043930707543<16> * 21602902713907878095308369543<29> * [1706028443...<2997>] (1.73%)
10^3050+1 = 1000000000...<3051> = 101 * 3541 * 6101 * 21961 * 27961 * 51241 * 60101 * 115901 * 152501 * 829601 * 1244401 * 1587221 * 7019801 * 9818561 * 81183810541<11> * 217345835281<12> * 450011792501<12> * 452512670501<12> * 555818110301<12> * 14103673319201<14> * 1680588011350901<16> * 28474644365651641<17> * 8950221294967070861<19> * 12065748114307558001<20> * 17751033585336286181<20> * 17716886277230798340041<23> * 1493420338388090460079560001<28> * 7097655382863852581647643487262501<34> * 69091807550221647412700483018565101<35> * 17729642323320850278883616474935850401<38> * 101444162656037151745878558385892753596849<42> * 30177150878514090521547663054628235944221777770161<50> * 39069669288697789469488625615834711944836425801981<50> * 27186363592392725942593454290345801336551729326489701011779461<62> * 75743388768260974116327848920184337528059461788181539337429709<62> * 29396948928240214513043372181142292774711501573237257023101752921<65> * 1642269048916396301246801744101379821902073519810571143520576971928815724659633161556699837755221303434764527770131486856721570324295821<136> * [7638749105...<1072>] * [2248826076...<1131>] (27.80%)
10^3051+1 = 1000000000...<3052> = 7 * 11 * 13 * 19 * 4973 * 52579 * 4426889 * 70541929 * 1837513567<10> * 14175966169<11> * 104120568827856356216891091637981484179<39> * 5397511769683444928966129716536741688329069042441479613115913313907895924533<76> * 412943108813978385999641617982242667485519119709940711942693553709517240114281629255685010553886849303<102> * 195536788296069646441612538004667920689480607938818585757708176337130353156036650166508246335832764566608042973<111> * [1000999998...<673>] * [5442136694...<2007>] (12.20%)
10^3052+1 = 1000000000...<3053> = 73 * 137 * 7841 * 256369 * 86403431489<11> * 456439977353<12> * 93693359841761<14> * 127522001020150503761<21> * 1710994186565875947530228779349674860535337<43> * [1481812905...<368>] * [4163601006...<2573>] (3.68%)
10^3053+1 = 1000000000...<3054> = 11 * 290249 * 57009401 * 1968275207<10> * 2182600451<10> * 98673613343<11> * 1316934833466367<16> * 666821605408027361<18> * 7306116556571817748755241<25> * 31321069464181068355415209323405389541706979493156189716729115659<65> * [6449586671...<2887>] (5.44%)
10^3054+1 = 1000000000...<3055> = 101 * 9901 * 97729 * [1013106662...<1012>] * [1009998990...<2033>] (0.36%)
10^3055+1 = 1000000000...<3056> = 11 * 131 * 859 * 1223 * 5641 * 6299 * 9091 * 20681 * 21997411 * 1058313049<10> * 4855067598095567<16> * 60255294468800700570765517<26> * 297262705009139006771611927<27> * 8396862596258693901610602298557167100076327481<46> * 4286364887150220673583225059177107721806065475972215552125258086068959357115762795701840175683004019170941959169708082929486830943679876008361716880663960188314299305481<169> * [1492694782...<524>] * [9091000000...<2208>] (10.60%)
10^3056+1 = 1000000000...<3057> = 353 * 449 * 641 * 1409 * 6113 * 69857 * 2449503925297939657091587969<28> * [6678323682...<3009>] (1.54%)
10^3057+1 = 1000000000...<3058> = 7 * 11 * 13 * 6230167 * 115666113247<12> * 1459175828...<1012> * [9500631326...<2025>] (33.76%)
10^3058+1 = 1000000000...<3059> = 89 * 101 * 1669 * 691109 * 2770549 * 1052788969<10> * 1056689261<10> * 40055641121<11> * 30266488824881<14> * 154220035640400941<18> * 161851854659976491869<21> * 22566203851955475809719636369904190294286729<44> * 538978365796508304569088931293097537674917585678041<51> * 17578550135840913456911316683567075151132274090424405862513992032108985729<74> * 17991550746452636778885686845907191686483610285262887318124980694534367263929242005840749<89> * [2688224779...<2704>] (11.59%)
10^3059+1 = 1000000000...<3060> = 11 * 47 * 139 * 967 * 2531 * 711437 * 909091 * 13716557 * 1569936761<10> * 47212767691<11> * 549797184491917<15> * 265291941861322531<18> * 909090909090909091<18> * 1203881882727712699967<22> * 1446026381377557429343<22> * 247025236977306025681323889<27> * 23391028206417273637358380573<29> * 7775058388319250595762800404689<31> * 3309383964775818489317002654646529291847<40> * 8157210416556447648087047867900686079357<40> * 61828645758322140842666144519962696417487<41> * 72021403933746126426491665754465510017877<41> * [2776379924...<319>] * [2498263178...<2352>] (12.72%)
10^3060+1 = 1000000000...<3061> = 73 * 137 * 1361 * 2857 * 3169 * 12241 * 24481 * 36721 * 98641 * 1211761 * 1676321 * 13266937 * 99990001 * 152533657 * 265183201 * 282803977 * 787131281 * 5964848081<10> * 10527797306161<14> * 1664644599118801<16> * 3199044596370769<16> * 10122798208400401<17> * 1119527384827710553<19> * 3777811937749537921<19> * 53043011765949537815976769<26> * 197487625640022530230424689<27> * 100009999999899989999000000010001<33> * 95853807664312827399794371014650641<35> * 215673159546393078896031528917465041<36> * 39340929985040037939860550511566010202173435808159761<53> * 65552746171882583264230070868884366877803237222654400793<56> * 3706128023114119218916379460291345996769984434163189932241<58> * 44432384794221343755897441742032531086615578692097502509412995439256236377<74> * 2518939361843542777324186815596987183284761640260249316508901269783757152238017118245918288297154753422552473463669614122198237833353657872273444231835817866237166090882172690592655745121<187> * [4739518954...<331>] * [2751302649...<446>] * [7123361144...<1504>] (25.49%)
10^3061+1 = 1000000000...<3062> = 11 * 18367 * 194948969 * 202534127 * 374379568108875916757732764761053303<36> * [3348403558...<3004>] (1.88%)
10^3062+1 = 1000000000...<3063> = 101 * 343575659981<12> * 8191143863173792978481<22> * [3518128379...<3027>] (1.16%)
10^3063+1 = 1000000000...<3064> = 7 * 11 * 13 * 49009 * 1850053 * 363375666331<12> * 19042555211047903957<20> * [9090909090...<1020>] * [1751529804...<1999>] (1.46%)
10^3064+1 = 1000000000...<3065> = 17 * 2003857 * 5882353 * 8004816433<10> * [6234216676...<3040>] (0.79%)
10^3065+1 = 1000000000...<3066> = 11 * 6131 * 9091 * 171762601 * 95891590001<11> * 1688298794700739422901790771<28> * [5384656507...<585>] * [1089300989...<2426>] (1.80%)
10^3066+1 = 1000000000...<3067> = 29 * 101 * 281 * 8761 * 9901 * 30661 * 226549 * 5911541 * 121499449 * 21307156489<11> * 16692085818029<14> * 295449527288749<15> * 5774294197526381<16> * 6808458539691229<16> * 346667727454721401<18> * 4458192223320340849<19> * 901966394523798764569<21> * 182202742802607835615596881<27> * 111956960338863707579494311481<30> * 3543809477510348590996879102037513609320141<43> * 3355330990026625816780426205253910468424129764063859532844880973167015231161<76> * 9537037576103752545861071409967321761728999089417907986752766348817191016093460769<82> * 661828976175802596124520315896987844285331034125777808629277002254425371670207934687325349<90> * [3418519600...<850>] * [9314924343...<1706>] (16.65%)
10^3067+1 = 1000000000...<3068> = 11 * 582731 * 2498843672031717814051<22> * [6243097323...<3039>] (0.92%)
10^3068+1 = 1000000000...<3069> = 73 * 137 * 1580801 * 395026241 * 6218964172073<13> * 3410758635375200561<19> * 632527440202150745090622412245443923049201<42> * 32394937980403032343941480318880086318307142570248235727782772042697<68> * 36837015057313006096634536795587748230336921494253255771361450341226561526611901358724245001042863132758337028749847212746321<125> * [1000099999...<2785>] (9.26%)
10^3069+1 = 1000000000...<3070> = 7 * 11^2 * 13 * 19 * 23 * 373 * 1117 * 2729 * 4093 * 8779 * 43649 * 44641 * 52579 * 204601 * 329653567 * 599144041 * 3590254957<10> * 7093127053<10> * 80798465287<11> * 183411838171<12> * 228160093106079754423<21> * 626254207448316529499143<24> * 909090909090909090909090909091<30> * 183372282864547916749018225828651<33> * 2521683376335623264853169025426175893<37> * 4649700678223371354013752098032052413<37> * 18381907262281244633158190677786966663091011<44> * 141122524877886182282233539317796144938305111168717<51> * 4887054837129490444185770642291712106451445708466643483270887621857163512076927093556902832792696796518529880218993484798134507347686651311824503<145> * 2858024101...<227> * 1209884540...<572> * [2659119255...<1753>] (42.90%)
10^3070+1 = 1000000000...<3071> = 101 * 1229 * 3541 * 12281 * 27961 * 14711441 * 201582341 * 8441425501<10> * 37136414854901<14> * 19855408876569361<17> * 467043606144413071608209<24> * 42633651269057784211262036586055241<35> * 13250162724903585950689727396593851617218121<44> * [2043400618...<576>] * [4335985396...<1153>] * [1535463803...<1169>] (5.66%)
10^3071+1 = 1000000000...<3072> = 11 * 167 * 997 * 6143 * 7253 * 405373 * 2321677 * 3565183 * 7284413 * 2097307081<10> * 422650073734453<15> * 296557347313446299<18> * 7742098247001476863<19> * 11744259028880253823<20> * 1211889758522439968545637100259<31> * 943176903141330068482602900960294299878841<42> * [1835152900...<2881>] (6.21%)
10^3072+1 = 1000000000...<3073> = 18433 * 61441 * 104153089 * 408453121 * 1856104284667693057<19> * 315827195278624446663038977<27> * 1567629031101501414376301131777<31> * [1088190187...<950>] * [2075541051...<2023>] (3.28%)
10^3073+1 = 1000000000...<3074> = 11 * 49169 * 909091 * 51177743 * 3104713361<10> * 307331935589859872028943<24> * 5819409040735393333588063567<28> * 2515873088287897454782011891518911571754342290096763019<55> * 3127889058329352843751138723028784195008863188510913210373<58> * 3758889450...<303> * [2419467216...<2579>] (16.10%)
10^3074+1 = 1000000000...<3075> = 101 * 349 * 1061 * 38861 * 618049 * 5051749 * 245391150214875249502685807421982149521<39> * 11811806375201836408679635736258669583187541<44> * 75277048352808729626679875852901448034540173569840168229<56> * [1009999999...<2913>] (5.27%)
10^3075+1 = 1000000000...<3076> = 7 * 11 * 13 * 211 * 241 * 251 * 739 * 2161 * 3691 * 5051 * 9091 * 18451 * 43051 * 148339 * 16344241 * 16419517 * 583161451 * 5317679142481<13> * 78875943472201<14> * 2670502781396266997<19> * 3404193829806058997303<22> * 8045375354195791619953801<25> * 436026711667335044426416921<27> * 10100138780479640979141018401<29> * 144374390852632521073195469731801<33> * 10000099999999989999899999000000000100001<41> * 1102678522581138741425727962459101300689046291<46> * 1109649393276867840472199951726880949173205522051<49> * 1843455308146833369419577117401177102515401880306453871619994561<64> * 61051796035522969271171274876554178504544683763248923853725596423<65> * 25227559933282973049929756675369873687524422119109873612963516263168625757367193407132891393542516779351543564997326723299457284056291<134> * 125761437902016505677234724081955995672315729956135907016809707020411705489302810599648062430084467242774758397202086029812476912145657137081<141> * [9900953063...<772>] * [1858519922...<1526>] (25.29%)
10^3076+1 = 1000000000...<3077> = 73 * 137 * 13355093809<11> * 428582162153<12> * 327671484766057<15> * [5331346251...<3036>] (1.31%)
10^3077+1 = 1000000000...<3078> = 11 * 103 * 4013 * 13757 * 227699 * 1261571 * 21993833369<11> * 45479406201057263<17> * 1467439874822650361<19> * 57813769227978665304109403799291636496876923883191635824278127299864929561<74> * 778918424933155393480511088578762495409547716376329687166271120021739022042090054703<84> * [8419864042...<2852>] (7.31%)
10^3078+1 = 1000000000...<3079> = 101 * 109 * 229 * 2281 * 4789 * 9901 * 126541 * 153469 * 2925721 * 304077901 * 6736221469<10> * 999999000001<12> * 3536579431261<13> * 52875286008709<14> * 722817036322379041<18> * 739653893349540289<18> * 1369778187490592461<19> * 33950736420661075851541<23> * 2050658332436114459080741<25> * 1724063648013157866790793401<28> * 25237907091259417082518590601<29> * 59779577156334533866654838281<29> * 367758735915513355987163036605562773789741<42> * 341796090604674881849636380229010216626944264336893367139245334739710314141368913850637159182300704681<102> * 10478831745658834154442146977631154415092805625223194933521483159740217604649402290053497067042419545290235569369671506367773081665717583993696581<146> * 5800249898...<621> * [1663209239...<1894>] (38.49%)
10^3079+1 = 1000000000...<3080> = 11 * 1200811 * 1470228697392727<16> * 18687144664184411<17> * [2755527909...<3041>] (1.25%)
10^3080+1 = 1000000000...<3081> = 17 * 113 * 3697 * 1378721 * 5070721 * 5882353 * 10100113 * 30357713 * 34540001 * 393238561 * 743709121 * 5758943337281<13> * 73765755896403138401<20> * 435907644034376193630721<24> * 6717658458758041138199521<25> * 19721061166646717498359681<26> * 119968369144846370226083377<27> * 69107936491313674237030826849<29> * 1081862991605594332069477594870669601<37> * 70488250368897247920709885766793062547616862669921<50> * 62716385987763617906038889384985304875217698799039986699716641<62> * 245852083551051217541465412461202922395395232640413677301754561<63> * 9900879227786858424257223656804730798555422102713108259184822982673560177<73> * 1578473983...<234> * [1289298797...<441>] * [2294063900...<1897>] (24.14%)
10^3081+1 = 1000000000...<3082> = 7 * 11 * 13^2 * 157 * 859 * 1423 * 6397 * 6637 * 67783 * 132247 * 216451 * 1232401 * 1058313049<10> * 9615060929<10> * 238867027699<12> * 388847808493<12> * 665338595964848677<18> * 301235180707882096703<21> * 100263937378237802146085276534419<33> * 66443174541490579097997510158021076958392938976011506949065646573<65> * 1251990291329257796002278912741887225923362508309806834359341444948291275981327174223618327402150792085738318266379138644493775947105115101637978649<148> * [2955222582...<878>] * [8447373231...<1838>] (11.87%)
10^3082+1 = 1000000000...<3083> = 101 * 269 * 1289 * 4021 * 104789 * 260587121 * 18371524594609<14> * 94927228208573594069<20> * 4181003300071669867932658901<28> * 2302527353565357450759725122262880394277261<43> * 16071030565277594576986582552521799177065559188277159741<56> * [9638416245...<2899>] (5.94%)
10^3083+1 = 1000000000...<3084> = 11 * 388459 * 44586224149507972931<20> * [5248817007...<3057>] (0.85%)
10^3084+1 = 1000000000...<3085> = 73 * 137 * 98689 * 99990001 * 1603661497<10> * 2863432321<10> * 1398751917100636029353<22> * 182682275721802091324695982091305017<36> * 789623604692467568415491118469360633<36> * 207769994109973576530070901455590755257<39> * [7148515743...<1003>] * [7363354184...<1915>] (5.39%)
10^3085+1 = 1000000000...<3086> = 11 * 9091 * 23447 * 515813 * 455987681 * 641454971602996841<18> * 52534101756162550651<20> * 52828844795883375481<20> * 45135180224672561394876945851667198023<38> * [1665377017...<569>] * [1355054091...<2399>] (3.85%)
10^3086+1 = 1000000000...<3087> = 101 * [9900990099...<3084>] (0.06%)
10^3087+1 = 1000000000...<3088> = 7^4 * 11 * 13 * 19 * 127 * 197 * 1373 * 2647 * 2689 * 14407 * 28813 * 46649 * 52579 * 209917 * 275087 * 459691 * 909091 * 5274739 * 6007303 * 2996003448549091<16> * 4020987966062173<16> * 3632046076369485139<19> * 83841668675219231252827807<26> * 8767319694518850211044312841<28> * 189772422673235585874485732659<30> * 506500014792811998378163728668881<33> * 5076141624365532994918781726395939035533<40> * 521360091675342950454314391509789458781157156524647<51> * 142857157142857142856999999985714285714285857142857142855714285571428571428572857143<84> * 120622614235915199576581497469018868407707605017747288090414823252809120990020468006404654192783823649565330780189120560373136335881321217099486033747043873580418793246097727626773386959905463<192> * 9214752062...<223> * [1628179258...<539>] * [3807069875...<1721>] (26.83%)
10^3088+1 = 1000000000...<3089> = 353 * 449 * 641 * 1409 * 69857 * 994337 * 2593760010604408630401448600207562593<37> * [3877364320...<3030>] (1.89%)
10^3089+1 = 1000000000...<3090> = 11 * 51042637 * 5139154226746695416758852013<28> * 6508768539127486279301570171520247<34> * [5324560093...<3019>] (2.27%)
10^3090+1 = 1000000000...<3091> = 61 * 101 * 3541 * 9901 * 16481 * 27961 * 41201 * 55621 * 801341 * 4188901 * 6060521 * 6989581 * 39526741 * 134699281 * 136633621 * 346973629 * 11757363481<11> * 5439760205641<13> * 29286597879221<14> * 17001340047779821<17> * 2715755328447928601146835461<28> * 33670587927455442579575167786879669<35> * 11759886488024562374227170857216350621<38> * 95000575486937988681435170477136054984821<41> * 13189107332310223355029963340219071854700685799054091470161603102678459019911637791726472505162050327675229109<110> * [3147469726...<371>] * 6437466588...<392> * [5088631929...<396>] * [2435619042...<771>] * [1133593285...<773>] (25.29%)
10^3091+1 = 1000000000...<3092> = 11^2 * 23 * 4093 * 8779 * 6560496291091<13> * 58513940129535379432477007<26> * 1431135121058581084714805848152798178115682551730402597243763044287124792572084319412841582786640330468733<106> * 16547433246480520174349179207193433881181252010316221293841402155991914006665222503784862841092262365532740265874407144559674728417785771<137> * [1099999999...<2801>] (9.41%)
10^3092+1 = 1000000000...<3093> = 73 * 137 * 18553 * 84102401 * 1417136332396386473<19> * 742404599243691220598752457<27> * [6090903900...<3031>] (1.98%)
10^3093+1 = 1000000000...<3094> = 7 * 11 * 13 * 2063 * 12373 * 810367 * 2585587804172055288691<22> * 21697362613133964595466114528841853<35> * [4406645220...<1027>] * [1953599834...<1995>] (2.33%)
10^3094+1 = 1000000000...<3095> = 29 * 101 * 281 * 521 * 2381 * 63649 * 28559389 * 121499449 * 1491383821<10> * 654721485601<12> * 1248821288261<13> * 275855329893529<15> * 2324557465671829<16> * 1900381976777332243781<22> * 20087794479102305428621<23> * 6219342207515923652594221<25> * 20892605050886931746129533061<29> * 5781822105649878089905469839201<31> * 329926770882952905235470361014177766008571741<45> * 32228072787206910077588738662288637382824935282889<50> * 3571618567996393297210217238290456648947344377957590363519828421<64> * 5582637833682557709253612812885341475900082138954691763178176941<64> * 431916413820617754546053476804635449461410533962843828981966782964481<69> * 13712255219708533473813623053189821987961076229175414555827926545777661379291311684923609<89> * [1921467971...<249>] * [8196365308...<2245>] (19.42%)
10^3095+1 = 1000000000...<3096> = 11 * 9091 * 13619 * 634201866251<12> * 513335067860731691<18> * 592119999726203887006567<24> * [1777562374...<579>] * [2142828473...<2455>] (2.02%)
10^3096+1 = 1000000000...<3097> = 17 * 4129 * 8929 * 41281 * 5882353 * 44415544177<11> * 3265640075377<13> * 908618221399489<15> * 9999999900000001<16> * 34883769795276074742193<23> * 134309808350032093926193<24> * 301141397581994586210257<24> * 524418195375754143552289<24> * 24406528450187602801456557409<29> * 3018874099563095007951997249219489<34> * 111994624258035614290513943330720125433979169<45> * 12964211609561579909063446696451764692875452342031494097<56> * 3391814169...<207> * [1837682057...<631>] * [1010511496...<1932>] (17.27%)
10^3097+1 = 1000000000...<3098> = 11 * 653 * 13693 * 1194794014691<13> * 3072423558293<13> * 5122137039572957<16> * 14286890032106357<17> * 909090909090909091<18> * 66953479943839030979655991920753816099754871899<47> * 106288106156544189601112452124463274118441603168767263777500290285464677481570934480831778653<93> * [5850154917...<2876>] (7.14%)
10^3098+1 = 1000000000...<3099> = 101 * 92941 * 898421 * 99142788045861341<17> * 20088102214842559389409<23> * [5953760401...<3046>] (1.69%)
10^3099+1 = 1000000000...<3100> = 7 * 11 * 13 * 10331 * 3346921 * 7202077 * 41098917196155262369<20> * [8799640974...<1028>] * [1109238681...<2032>] (1.29%)
10^3100+1 = 1000000000...<3101> = 73 * 137 * 401 * 1201 * 1489 * 1601 * 12401 * 1676321 * 50755681 * 5964848081<10> * 8566123361<10> * 640543322297<12> * 830859185201<12> * 27661886780401<14> * 27908132670449<14> * 384705444182230291105649<24> * 2993296203125043846064372657854001<34> * 97645954668018846467287180866355758374263120864803042536883990817097<68> * 129694419029057750551385771184564274499075700947656757821537291527196801<72> * [2232494053...<447>] * [1207726249...<2354>] (9.70%)