10^20801+1 = 1000000000...<20802> = 11^2 * 23 * 2729 * 4093 * 8779 * 43649 * 81131 * 166409 * 204601 * 847169 * 80378537928632188367<20> * 626254207448316529499143<24> * 909090909090909090909090909091<30> * 2521683376335623264853169025426175893<37> * 11205222530116836855321528257890437575145023592596037161<56> * 2858024101...<227> * [1368524519...<581>] * [1298442223...<1795>] * [5462991239...<17995>] (2.08%)
10^20802+1 = 1000000000...<20803> = 101 * 9901 * 251582270741161<15> * 63553545468883121<17> * [6192397261...<6901>] * [1009998990...<13865>] (0.18%)
10^20803+1 = 1000000000...<20804> = 11 * 290249 * 31321069464181068355415209323405389541706979493156189716729115659<65> * 9090909090...<292> * [1099999999...<20441>] (1.74%)
10^20804+1 = 1000000000...<20805> = 73 * 137 * 7841 * 291257 * 127522001020150503761<21> * [9999000099...<2968>] * [3433737214...<17803>] (0.16%)
10^20805+1 = 1000000000...<20806> = 7 * 11 * 13 * 211 * 241 * 293 * 571 * 877 * 2161 * 9091 * 24091 * 41611 * 1458973 * 3601237 * 8322001 * 312241441 * 95175759691<11> * 247482272761<12> * 612807024211<12> * 1198383520531<13> * 1812604116731<13> * 121450506296081<15> * 157672836805651<15> * 909090909090909091<18> * 1563087477777433051<19> * 1349753508099497442041<22> * 11382273828031938028891<23> * 23597971391534395527281<23> * 1936082430917368992856681<25> * 43135513763991692454656851<26> * 10826684964539959837294043117<29> * 753201806271328462547977919407<30> * 5830219322612939561246246317093<31> * 286578888976194997999922592330908602103011<42> * 3943828696311504418317587369596960932033847171<46> * 4996731930447843676185843959746621491531100801<46> * 61144905745257441183391523202790304609284611733<47> * 3245978377655567212760904825925262846295198021902309330517162600205414882257480287263152055681<94> * 209567419815575088893039502374017044565180465719504614143239653652312239618655809712098924957353042723741728874079596356118568603287093812371<141> * 5248855003692933364739585667866481201678356022616389680814320588021598396149319699845570559106183903505230306376836171496217871464621288358987576841<148> * [2019233057...<522>] * [1099999999...<1297>] * [9100000000...<2592>] * [4388247213...<5118>] * [3707778469...<10330>] (4.56%)
10^20806+1 = 1000000000...<20807> = 101^2 * 801341 * 58672921 * 752719469 * 3679329001<10> * 19384130081<11> * 29286597879221<14> * 12793360409007449<17> * 4908990488743183603681<22> * 13594618218062880450540601<26> * 33670587927455442579575167786879669<35> * 5383539446793990416488818114381662511041<40> * 95000575486937988681435170477136054984821<41> * 147987024898557331825270928295100820916509<42> * 274709671055935535763734628625616947603714681537231287179261<60> * 13189107332310223355029963340219071854700685799054091470161603102678459019911637791726472505162050327675229109<110> * [1682222738...<20359>] (2.15%)
10^20807+1 = 1000000000...<20808> = 11 * 7865047 * 194829049411<12> * [5932698541...<20788>] (0.09%)
10^20808+1 = 1000000000...<20809> = 17^3 * 8929 * 13873 * 41617 * 54673 * 5882353 * 19420801 * 346721393 * 5637065089<10> * 13355595217<11> * 336561978262673<15> * 811724101275473<15> * 9999999900000001<16> * 64895458912492321<17> * 111994624258035614290513943330720125433979169<45> * 440441087557478776852171834625638618412949059374084837579531425633661269203803741415744566525108430933975383194546209<117> * 3178246571075235723080972275640135632212436318968968029466533249264048115754831736073020454216579035062833710671458881<118> * 10209076607930569913922070622494428090671480292064954172591269153271836953190308682801647817951310297094548858967419962633393<125> * [1000000000...<769>] * [3197641773...<2130>] * [1110747401...<4332>] * [2402864214...<13052>] (2.54%)
10^20809+1 = 1000000000...<20810> = 11 * 758238343 * [1198951381...<20800>] (0.05%)
10^20810+1 = 1000000000...<20811> = 101 * 3541 * 16649 * 27961 * 41621 * 1165361 * 1415081 * 591801813781<12> * 88819636337761899421<20> * 619217629010224606169<21> * 722557501815782357092801<24> * 22230037557695814257634335269<29> * 120298938456756145881259741201<30> * [6068325632...<4066>] * [4632450553...<8284>] * [4949654512...<8296>] (0.79%)
10^20811+1 = 1000000000...<20812> = 7^2 * 11 * 13 * 127 * 2689 * 35677 * 459691 * 909091 * 53900491 * 84236983 * 154326449 * 1040954329<10> * 8306363801<10> * 769150565783664091847<21> * 7357392275...<952> * [3656515976...<1968>] * [2456908438...<5923>] * [9100000909...<11880>] (5.00%)
10^20812+1 = 1000000000...<20813> = 73 * 137 * 617 * 1207097 * 7265281 * 1110411017<10> * 2565225443270547964001657<25> * 277641151780258438310079109077611969<36> * 2645778409917434965592366282025495569<37> * 16205834846012967584927082656402106953<38> * 38993135849791157061060738352944105076217<41> * 262533769339473652474903068060921237392956780959193<51> * 34908493290773859017057784025792153817150916131843303273<56> * [3809033795...<390>] * [4003497297...<1634>] * [1000000000...<18481>] (1.48%)
10^20813+1 = 1000000000...<20814> = 11 * 859 * 156899 * 1040651 * 1165529 * 3842401 * 234898721 * 1058313049<10> * 2160087671524693<16> * [6419538391...<1580>] * [4198489942...<19173>] (0.29%)
10^20814+1 = 1000000000...<20815> = 101 * 9901 * 324508756709<12> * 27142922557811869<17> * 150044625397395430201<21> * [3051070239...<6925>] * [2479955501...<13836>] (0.26%)
10^20815+1 = 1000000000...<20816> = 11 * 47 * 139 * 691 * 1811 * 2531 * 9091 * 13757 * 24979 * 549797184491917<15> * 1467439874822650361<19> * 120856583251466840154268833761<30> * 57813769227978665304109403799291636496876923883191635824278127299864929561<74> * 778918424933155393480511088578762495409547716376329687166271120021739022042090054703<84> * 15918798843849477568899983937931966555877132981347465830696251648192619376266439940521<86> * [5025734938...<688>] * [4403699107...<3956>] * [9091000000...<15840>] (1.59%)
10^20816+1 = 1000000000...<20817> = 353 * 449 * 641 * 1409 * 69857 * [9999999999...<20800>] (0.08%)
10^20817+1 = 1000000000...<20818> = 7 * 11 * 13 * 19 * 1459 * 1543 * 30841 * 52579 * 2322253 * 70541929 * 174182779 * 2458921051<10> * 14175966169<11> * 4733029324099<13> * 46608601872127<14> * 74419367274678463<17> * 456502382570032651<18> * 4488944912811246721<19> * 545925524052205140121<21> * 596499234628354861081<21> * 610600386089858349939139<24> * 417172265735446499412270862819<30> * 41236044512156603777979544195943152517271779<44> * 6621650829759394867011952029659651154933062041670057842400167<61> * 1079532167431061415165932592055901092454451592309148326151617900514215922407756340218895879841860600138403440141998167181967545309634241890872640207<148> * [3301998971...<433>] * [2399488367...<1507>] * [2221888137...<4567>] * [1000000000...<13825>] (2.34%)
10^20818+1 = 1000000000...<20819> = 29 * 101 * 281 * 124909 * 121499449 * 197779760963849<15> * 384180142236521<15> * [7926562616...<2967>] * [1329243707...<17804>] (0.23%)
10^20819+1 = 1000000000...<20820> = 11 * 383 * 679961 * 2873023 * 4041943 * 955059211 * 78087485383<11> * 469796557441<12> * 3338786746233023<16> * 9665032203600899<16> * 2460108444280593023<19> * 14060959683864286267405933000927102019<38> * 19364383321148719295180578853325741855858987848620134943<56> * 3370796736173938091727422330529475982098304687381174810841794785884893349397<76> * 34355007868290105260151014423846456692008580727031775135173625397961285416300659<80> * [3427568912...<20468>] (1.69%)
10^20820+1 = 1000000000...<20821> = 73 * 137 * 2777 * 185993 * 1676321 * 99990001 * 252138529 * 1243314881<10> * 5964848081<10> * 100009999999899989999000000010001<33> * [1935905231...<1376>] * [3966470352...<2760>] * [8043819110...<5527>] * [9999000100...<11072>] (0.41%)
10^20821+1 = 1000000000...<20822> = 11 * 887 * 2659 * 6299 * 4612267921<10> * 4855067598095567<16> * 297262705009139006771611927<27> * 3646836465960880692292201915543408162476049<43> * [1056936920...<394>] * [2384943847...<20323>] (0.51%)
10^20822+1 = 1000000000...<20823> = 101 * 349 * 38861 * 291509 * 618049 * 12368269 * 536436469 * 11811806375201836408679635736258669583187541<44> * [1845696680...<708>] * [2801305564...<20036>] (0.38%)
10^20823+1 = 1000000000...<20824> = 7 * 11^2 * 13 * 23 * 4093 * 8779 * 41647 * 75721 * 707983 * 111478771 * 599144041 * 3282662659<10> * 183411838171<12> * 10588881766651<14> * 7144726022423651<16> * 1524153419506975183<19> * 4693576212171086689<19> * 25275592878679576093<20> * 324340568278356513982411<24> * 215007779702918011813855565694983<33> * [6475491890...<531>] * [2028662064...<1219>] * [2494358447...<6283>] * [3915545795...<12585>] (0.99%)
10^20824+1 = 1000000000...<20825> = 17 * 6577 * 134369 * 664177 * 5882353 * 322355521 * 1184302529<10> * 24243064114417<14> * 31735795756961<14> * 59696298788593<14> * 22697864788706004146519819933242976609<38> * 234504682039452385472228601837391217101263308508305719138749905156540866534427238711769806579683320997636600725852987602204289<126> * [1689491112...<1028>] * [1080475005...<19554>] (1.17%)
10^20825+1 = 1000000000...<20826> = 11 * 103 * 197 * 251 * 491 * 4013 * 5051 * 9091 * 14281 * 18131 * 41651 * 42841 * 87211 * 609757 * 674731 * 909091 * 2199121 * 2254201 * 4147571 * 787223761 * 1868879293<10> * 3612546001<10> * 21993833369<11> * 299547376801<12> * 78875943472201<14> * 265212793249617641<18> * 468077550747723841<18> * 548804832033845773<18> * 2850224398381919676251<22> * 5673320472670315859129<22> * 79585488094415413310201<23> * 40410112822629936463361201<26> * 165564988462016408581266824201<30> * 653518704357372488880162997801<30> * 201069283252703294533187911388251<33> * 319824888758480762691339433102367<33> * 5076141624365532994918781726395939035533<40> * 73610520788177438692703784333146668068451<41> * 15670675217372765545752167365705617247353811<44> * 5240352469572867909569390990706187998335241601<46> * 160220794821014452066741918303580917664386555934641<51> * 1965071455547075976451793652436868115828909241266827512665803201<64> * 103746647830421551242486430622636901002236971549990724717454338463<66> * 924113758530847383764787530400912659976463549693743820952869672176334445090649182638712486115217201<99> * 171885313809023973316297299617001972028698082056007969699724137675797535402763434997577528908814962221209301350715566313549141490281<132> * 1810329304...<212> * 1769728718...<238> * [9343574757...<616>] * 1908268586...<795> * [3016729290...<1893>] * [3408426747...<2643>] * [9999999999...<13440>] (10.73%)
10^20826+1 = 1000000000...<20827> = 101 * 521 * 1069 * 3121 * 9901 * 38449 * 138841 * 784981 * 2804569 * 5164849 * 8522774569<10> * 83860840961<11> * 999999000001<12> * 14522194096021<14> * 53397071018461<14> * 5592576708439808569<19> * 1900381976777332243781<22> * 11761957262582764997761<23> * 83537209582631573369436421<26> * 6060517860310398033985611921721<31> * 117609798518967483441609863271124249<36> * 833845535443385228657693694666672878355349<42> * 722898512786203801042951920020842806081459364277150501545096737658329011666631945714409<87> * 18547092770394661955046893866403953444141877738854819606028843831344546174591125346548473015452312338456023705554686130669604243301021812682716262365263155956618360389<167> * [1133072310...<308>] * [1494721522...<1041>] * [4294336094...<2095>] * [2825512809...<4160>] * [9999990000...<12672>] (2.65%)
10^20827+1 = 1000000000...<20828> = 11 * 1889 * 588654329 * 1006029527<10> * 8241327209<10> * 1090805842068098677837<22> * 4411922770996074109644535362851087<34> * 56540001776360839594874218856939642617050503<44> * [1598235487...<300>] * [2267436771...<20398>] (0.63%)
10^20828+1 = 1000000000...<20829> = 73 * 137 * 3624073 * 3921761 * 121553521 * 3988541681<10> * 36637591407529194237097<23> * 764515044486144085977569<24> * 2575212027850692464577982171078840918884244921649<49> * 2245236606248397162554620353530247131809555439174332456262048578539955402631665831489925370072038825037489223972536291929859656473<130> * [3246850456...<416>] * [2759602248...<20154>] (1.24%)
10^20829+1 = 1000000000...<20830> = 7 * 11 * 13 * 263 * 3499 * 41659 * 2784091 * 78447517 * 1397382241<10> * 8829829681<10> * 54137839415767<14> * 306662501757259<15> * 525786373041914526306757<24> * 917813298871770308465539<24> * 26526333976234009593263527<26> * 8558521377558885170560719135529<31> * 112506283680098168752627601991569<33> * 1363608083180796048411168783196497071688492468691<49> * 9090909090909090909090909090909090909090909090909091<52> * 22470645744200057762885095342697894721605325430609487291715500041029950763944163993319007373686738769124162721892380653<119> * 62339577231074552025417800627219902399609765276523884060897664718644575416179222125766565878683978340565955467874226181636354165574411<134> * [1099999999...<6761>] * [2473889088...<13506>] (2.71%)
10^20830+1 = 1000000000...<20831> = 101 * 3541 * 27961 * 33329 * 1333121 * 195560331423161<15> * 377603385150057784266709<24> * 680445408889792780179826779807875306556149<42> * [8672765544...<4088>] * [1828801359...<8314>] * [2824060999...<8329>] (0.48%)
10^20831+1 = 1000000000...<20832> = 11 * 7253 * 12498601 * 579098423 * 422650073734453<15> * 296557347313446299<18> * 5089082809028683211<19> * 29283791702184825961<20> * 36265008707438890601092610924794499<35> * 2324014940...<474> * [1099999999...<20233>] (2.88%)
10^20832+1 = 1000000000...<20833> = 193 * 769 * 5953 * 19841 * 205633 * 297601 * 976193 * 1234049 * 1342657 * 4546753 * 6187457 * 10418689 * 29111233 * 1725820097<10> * 6920487617<10> * 8813977537<10> * 274680731375489<15> * 834427406578561<15> * 1253224535459902849<19> * 417067672004431016027567793820801<33> * 707285850117624346067550937755073<33> * 1466242627909963541642846554503169<34> * 53763491189967221358575546107279034709697<41> * 3389990665995333265366836872252020333482336548986397735456228533820597306799173793346530834741952645058293656375786341106265537<127> * 5214609962...<326> * [2871494547...<927>] * [1154263635...<1908>] * [1639424287...<5741>] * [9999999999...<11520>] (3.54%)
10^20833+1 = 1000000000...<20834> = 11 * 167 * 503 * 997 * 3565183 * 2097307081<10> * 5213439677<10> * 58750244356051<14> * 7742098247001476863<19> * 4067568702062638144916699<25> * 17764334637927138067713031681<29> * 2212012955306294098346533984373<31> * 943176903141330068482602900960294299878841<42> * 21689196734582708053660794891232689909538844325990924677397646308082829007403196597363377256966074584447477581688161456723290029877534439668145537718911503<155> * [1872332638...<20487>] (1.66%)
10^20834+1 = 1000000000...<20835> = 89 * 101 * 41669 * 1052788969<10> * 1056689261<10> * 174213138035820269<18> * [9900990099...<1892>] * [1391321166...<18899>] (0.21%)
10^20835+1 = 1000000000...<20836> = 7 * 11 * 13 * 19 * 211 * 241 * 2161 * 5557 * 9091 * 29611 * 52579 * 3762091 * 6908887 * 50839253 * 51337441 * 605048401 * 1794435211<10> * 256712535361<12> * 537667443289<12> * 721855053971<12> * 893210409451<12> * 1860679164649<13> * 8985695684401<13> * 968838896570999197717<21> * 33443462676716374314214817708653<32> * [1729403218...<439>] * [1641719481...<897>] * [1523836390...<1837>] * [6232400076...<2717>] * [5858798231...<3676>] * [1084435993...<11072>] (0.96%)
10^20836+1 = 1000000000...<20837> = 73 * 137 * 238780561 * [4187526848...<20824>] (0.06%)
10^20837+1 = 1000000000...<20838> = 11 * 82727 * 2122689869717<13> * 51379701111139<14> * 7966595011106561<16> * 3416317897947415066069561<25> * 835375365056917236891484436143<30> * 909090909090909090909090909090909090909090909090909090909090909091<66> * 972257004001983078662961403513565995843134142539444914120798476327<66> * 6233584499738299340076596109269276052417987101388073691610569618213<67> * 375700593067719892293634457990858198043520716058451444985194026578547509426501929457106333<90> * [2140923314...<20447>] (1.87%)
10^20838+1 = 1000000000...<20839> = 101 * 829 * 1289 * 9901 * 15101 * 1569889 * 20481641 * 629585441 * 138314517181<12> * 5535505633909<13> * 18371524594609<14> * 461089615110001<15> * 536430531035337769<18> * 757108543129939106221<21> * 7209117207289041811973881<25> * 4181003300071669867932658901<28> * 19108466176791400681292709171992566565029<41> * 188981422179250214477885038956646476812007525220846625175628245017547495717341304519447280552146559165713534073382085460954497219653965265520569<144> * 16939050239764829744069756733623580001118023970162008400581443223287867889068114889297596061940113207297675910159110046284460131801859007072447569<146> * 1009998990...<601> * [3479215715...<6577>] * [1793791294...<13152>] (5.33%)
10^20839+1 = 1000000000...<20840> = 11 * 859 * 9619 * 83357 * 909091 * 2244659 * 21705503 * 1058313049<10> * 4201402087<10> * 168122436888310576099<21> * 2317091604522004723965449<25> * 22122368173743271094350225612207534262957<41> * 13270807703600518273110858480695033043595534787235597140531<59> * 50678387411703889101759125785290439894389920385627096501794498837<65> * 1336395914067475494619360928220680511145198857935330550248985354190742963795052553003443246310484435548877<106> * [1618984883...<1335>] * [4900521638...<2730>] * [1090599469...<16412>] (1.75%)
10^20840+1 = 1000000000...<20841> = 17 * 5070721 * 5882353 * 22987578673<11> * 19721061166646717498359681<26> * [4350175389...<4150>] * [1000000009...<16641>] (0.24%)
10^20841+1 = 1000000000...<20842> = 7 * 11 * 13 * 97259 * 6002209 * 33735944399453<14> * 878529212293200157<18> * 15263720847594106949459<23> * 2901008169904488681078961<25> * [1042471431...<6875>] * [1250841842...<13875>] (0.45%)
10^20842+1 = 1000000000...<20843> = 101 * 28559389 * 38974541 * 1491383821<10> * 2324557465671829<16> * 2149907130405534590488241<25> * 504392963324080336398758570422609<33> * [9130402158...<1167>] * [2591435265...<19577>] (0.47%)
10^20843+1 = 1000000000...<20844> = 11 * 41687 * 489263 * 513397 * 1097601157<10> * 1983708991186253<16> * 5081709505813049<16> * 909090909090909091<18> * [1662222269...<1061>] * [5192568180...<19708>] (0.36%)
10^20844+1 = 1000000000...<20845> = 73 * 137 * 3089 * 3169 * 77201 * 98641 * 10086953 * 99990001 * 2203876616556961<16> * 3199044596370769<16> * 14864408443649531761<20> * 1289096563711372002926829150477841<34> * 1726290008991504500177463302688697<34> * 579276943498154282123686999881829009033<39> * [4156767571...<753>] * [5219276995...<1484>] * [1000000000...<4609>] * [4537459095...<13809>] (0.92%)
10^20845+1 = 1000000000...<20846> = 11^2 * 23 * 331 * 4093 * 5171 * 8779 * 9091 * 10613 * 15161 * 30817249 * 20163494891<11> * 1700183649150188771<19> * 318727841165674579776721<24> * 1450554663158475253834801<25> * 4918445244727502358176820280164673127<37> * 33584520860278767011970207517032237108309731086439023<53> * [1682706163...<278>] * [2941917974...<1466>] * [1099999999...<3781>] * [9091000000...<15120>] (0.97%)
10^20846+1 = 1000000000...<20847> = 29 * 101 * 281 * 3543821 * 121499449 * 1724354163150049020809<22> * 7166533718813555926729<22> * 10328728452798571520648354764189<32> * [7757042090...<2902>] * [2850031082...<17850>] (0.45%)
10^20847+1 = 1000000000...<20848> = 7 * 11 * 13 * 12049567 * 2385730681<10> * 163038257983<12> * 707039748671543554903<21> * [9090909090...<6948>] * [3316136469...<13848>] (0.25%)
10^20848+1 = 1000000000...<20849> = 353 * 449 * 641 * 1409 * 69857 * [9999999999...<20832>] (0.08%)
10^20849+1 = 1000000000...<20850> = 11 * 942909011093043405175223<24> * [9641342890...<20824>] (0.12%)
10^20850+1 = 1000000000...<20851> = 61 * 101 * 601 * 1669 * 3541 * 9901 * 13901 * 27961 * 60101 * 261301 * 458701 * 1701361 * 2374121 * 2420269 * 3903901 * 4188901 * 7019801 * 11158921 * 17046961 * 39526741 * 94869169 * 143089381 * 241609801 * 316045969 * 875855681 * 4940907901<10> * 13566386101<11> * 168290119201<12> * 14103673319201<14> * 536254985893201<15> * 1680588011350901<16> * 5063031409669501<16> * 119514986578411301<18> * 154220035640400941<18> * 413560439097312181<18> * 2784525474985221601<19> * 25074091038628125301<20> * 1520814102168434294101<22> * 141450321008055729671101<24> * 1045337861333351589020041<25> * 37964253182561021441329901<26> * 681395720294658810682438883431201<33> * 38654658795718156456729958859629701<35> * 22566203851955475809719636369904190294286729<44> * 538978365796508304569088931293097537674917585678041<51> * 17578550135840913456911316683567075151132274090424405862513992032108985729<74> * 17991550746452636778885686845907191686483610285262887318124980694534367263929242005840749<89> * [2042596332...<497>] * [2218195809...<532>] * [4083332536...<543>] * 9272275924...<1020> * [3507097708...<1097>] * [2797427971...<2684>] * [7140670969...<2737>] * [2620847284...<5492>] * [2044260123...<5511>] (8.45%)
10^20851+1 = 1000000000...<20852> = 11 * 59 * 664357 * 199817291 * 85720379293<11> * 154083204930662557781201849<27> * 3535844627223287305638044572703<31> * 1936776736...<674> * [1283242105...<20094>] (3.63%)
10^20852+1 = 1000000000...<20853> = 73 * 137 * 19249 * 1580801 * 118022321 * 13790098073<11> * 201965818609<12> * 11531959347361<14> * 882085792014457<15> * 7354107232590100470986320289<28> * 632527440202150745090622412245443923049201<42> * [2493212430...<1519>] * [8473820812...<19192>] (0.68%)
10^20853+1 = 1000000000...<20854> = 7^2 * 11 * 13 * 19 * 127 * 2689 * 13903 * 25819 * 52579 * 356819 * 459691 * 909091 * 5274739 * 14638807 * 16390459 * 38329801 * 2357765299<10> * 806088855223<12> * 1006905944197<13> * 2166829484503<13> * 5310781357771<13> * 5943603127859<13> * 873784950283761960265207<24> * 1932782378208168486700373<25> * 66287629848519079879793946893<29> * 189772422673235585874485732659<30> * 133497367767000665131131678430301773<36> * 573408944084407647616987278212508727<36> * 37597427372633848169498753071057309208493613<44> * 1444717414116629325014741879647282362357909367956352378595000668188348845124645807623208351032316317811617655604213036600335625808152140581460631346308342601069504206134844531691<178> * [1964239560...<644>] * [2642818918...<1916>] * [9941345611...<1968>] * [6545350579...<3956>] * [4125030953...<11832>] (2.58%)
10^20854+1 = 1000000000...<20855> = 101 * [9900990099...<20852>] (0.01%)
10^20855+1 = 1000000000...<20856> = 11 * 971 * 1721 * 9091 * 236681 * 57009401 * 2182600451<10> * 5566733971<10> * 82489592491<11> * 102527361354613106010527<24> * 7306116556571817748755241<25> * 323338434891034089173475790125293<33> * 18920435284033918144809657490533251<35> * 27422699366054621683295623079471066588881<41> * 945810328223866785885905285429505642199347228900195881<54> * 33781299214344096622678014073990188169665709715070094241770549427870082246252574520661531768110670247373718269979462963849500442241<131> * [1102051878...<302>] * [1099999999...<4033>] * [9091000000...<16128>] (1.89%)
10^20856+1 = 1000000000...<20857> = 17 * 3793 * 5054737 * 5882353 * 10100113 * 50638369 * 1949756654737<13> * 191401869375217<15> * 9999999900000001<16> * 33802522696443169<17> * 194435362285658737<18> * 34889116571748858673<20> * 75675153541982860202858401<26> * 11786300284844910479546815969<29> * 3041610227520272973007139521013344769<37> * 9900879227786858424257223656804730798555422102713108259184822982673560177<73> * 11211641228630565679165073415717349211301068854209340842417386559363002502053200017505737086336239008966529<107> * [2564274301...<568>] * [5315939278...<1210>] * [1974787161...<6233>] * [1470041555...<12449>] (1.91%)
10^20857+1 = 1000000000...<20858> = 11 * 709139 * 750853 * [1707343965...<20845>] (0.06%)
10^20858+1 = 1000000000...<20859> = 101 * 125149 * 428155711861<12> * [1847776758...<20840>] (0.09%)
10^20859+1 = 1000000000...<20860> = 7 * 11 * 13 * 103 * 4013 * 53171 * 83437 * 1008741241<10> * 21993833369<11> * 291078844423<12> * 7833811446444211<16> * 98761782676498339<17> * 377526955309799110357<21> * 1358791302758702868906124409<28> * 1070453760938027595699552600393152583819019423<46> * 89909332182322637174267412766780073091874834080069255427757<59> * 1399506617...<318> * [1299085706...<747>] * [1113791155...<6512>] * [1090643239...<13052>] (2.64%)
10^20860+1 = 1000000000...<20861> = 73 * 137 * 1193 * 7841 * 15497 * 25033 * 851761 * 1676321 * 9094961 * 188240641 * 882811889 * 5964848081<10> * 169871816297<12> * 22058547114390961<17> * 36990372762655063361<20> * 127522001020150503761<21> * 523688999052462666529<21> * 19562499561211294001273<23> * 32057918443938776296617977<26> * 1174155661036370531158387153086358732085761158354280249987966107746175275693416345665039841<91> * [2160506596...<581>] * [4533843479...<2352>] * [6035750220...<3437>] * [5311817919...<14200>] (1.40%)
10^20861+1 = 1000000000...<20862> = 11 * 47 * 139 * 2531 * 12005053 * 1374997489<10> * 73389957607<11> * 549797184491917<15> * [5507332888...<890>] * [1498842669...<19922>] (0.24%)
10^20862+1 = 1000000000...<20863> = 101 * 229 * 2281 * 4789 * 9901 * 76129 * 83449 * 126541 * 190321 * 390889 * 625861 * 1587221 * 4801921 * 304077901 * 2834820061<10> * 3812801341<10> * 81183810541<11> * 999999000001<12> * 52875286008709<14> * 722817036322379041<18> * 739653893349540289<18> * 1369778187490592461<19> * 33950736420661075851541<23> * 68766421426049698675309<23> * 2050658332436114459080741<25> * 2418666002101476599410229029<28> * 4796645886147946366365200759449<31> * 470968966737475493698721513380861<33> * 101444162656037151745878558385892753596849<42> * 367758735915513355987163036605562773789741<42> * 75743388768260974116327848920184337528059461788181539337429709<62> * 1305704182448226909845888790598975114740359397093421223355030629345156521<73> * 1087990925195463452802538049940594096989130726971208253428665898558089768698552971751226781442226809<100> * 10478831745658834154442146977631154415092805625223194933521483159740217604649402290053497067042419545290235569369671506367773081665717583993696581<146> * [1454199563...<698>] * [2569851011...<2123>] * [2064150707...<4290>] * [1597797274...<12955>] (3.83%)
10^20863+1 = 1000000000...<20864> = 11 * 2693 * 53120389367<11> * 2418135902717<13> * 1982160256400708939410214263<28> * 909090909090909090909090909091<30> * [1325837329...<619>] * [1099999999...<20161>] (0.41%)
10^20864+1 = 1000000000...<20865> = 257 * 15361 * 453377 * 366631763713<12> * 13333409847809<14> * 55871187633753621225794775009016131346430842253464047463157158784732544216230781165223702155223678309562822667655169<116> * [2045637531...<20712>] (0.73%)
10^20865+1 = 1000000000...<20866> = 7 * 11 * 13^2 * 131 * 157 * 211 * 241 * 859 * 1499 * 2161 * 6397 * 9091 * 15601 * 16693 * 28463 * 67411 * 74687 * 216451 * 392263 * 795653 * 925081 * 6176041 * 7569823 * 1058313049<10> * 1316998801<10> * 2607209081<10> * 12779652001<11> * 273185294773<12> * 388847808493<12> * 2366998879807<13> * 79557443172823908371<20> * 284524278115141731811<21> * 529556856977051917339<21> * 9289873078995653270647<22> * 20887862408486317826041<23> * 819286135684982014643023<24> * 122821779795297711210947489<27> * 899788378170104270110161037<27> * 150248348225536619962461703081<30> * 155490403648623445664788291934117<33> * 4298338634928851216299618775086771<34> * 8396862596258693901610602298557167100076327481<46> * 9140689231828972552925524522037823147045937571379494322686226282352288670801988451<82> * 63054129911571801941639263405768461425999152026392552531582926655481271974023945336611<86> * 6816076420889383530061928052932135771677823056533405853711387425758295002889889651952292014505658492373383206329623842705963383073925056196658386867709651975318465023<166> * [4219028723...<415>] * [1176525412...<778>] * [3133747599...<1132>] * [9100000000...<2544>] * [2673017512...<5019>] * [1351010470...<10161>] (3.93%)
10^20866+1 = 1000000000...<20867> = 101 * 218364108889<12> * 18936956036101<14> * [2394347589...<20840>] (0.13%)
10^20867+1 = 1000000000...<20868> = 11^2 * 23 * 463 * 3253 * 4093 * 8779 * 24179 * 590437 * 909091 * 1377223 * 7444361 * 60700207 * 426946409 * 361588384081<12> * 1369563811001<13> * 4539402627853030477<19> * 4924630160315726207887<22> * 21213992177071387107877<23> * 13631530938380353975492092299<29> * 286374137647729962372388663992088717<36> * 256031814642414583920091086688834271205176259587307504943<57> * 80072738860992416363006630180480205233270947285561349320187586148230645206844076936593016233492608684386014640420902971076925333121186484088558037848433079987468965872130196785578571<182> * [4244525084...<1604>] * [1314716820...<2637>] * [1835737653...<16177>] (2.16%)
10^20868+1 = 1000000000...<20869> = 73 * 137 * 13913 * 18049 * 41737 * 70313 * 79337 * 485041 * 834721 * 61544617 * 99990001 * 118710721 * 1969855729<10> * 6578404633<10> * 63360172849<11> * 54615849443593<14> * 16444765848115921<17> * 31495401976675753<17> * 60891291243097753<17> * 169905327561162104198557246291921<33> * 78423397189035946058321607200546180176617061948406580747828212881<65> * 27851538931791182813585932285490596820623900747164894668499167046712090201879423948069199442816537475115348268729799177<119> * 987958734776503660730847298429926744644928427487850380038560428638070909650210480224210297181360032908354907525523774393<120> * 7413647414915912456095291913585548438617298422325378879679910834861418508044083512279141934598325099533634759172455661729929526151907909705700148668130193294652504402201795631932236872015298449<193> * [9099868126...<347>] * [8611549503...<6614>] * [1919484326...<13224>] (3.28%)
10^20869+1 = 1000000000...<20870> = 11 * 1019 * 7127 * 2670502781396266997<19> * 3404193829806058997303<22> * [1251775283...<502>] * [1099999999...<20321>] (0.23%)
10^20870+1 = 1000000000...<20871> = 101 * 3541 * 27961 * 175309 * 1141747111121<13> * 3962188199521<13> * 106086860000300661121<21> * 102988870881423952012981<24> * 727268424983145015205506289<27> * [7765683405...<4140>] * [8261526653...<8288>] * [2473455787...<8333>] (0.53%)
10^20871+1 = 1000000000...<20872> = 7 * 11 * 13 * 19 * 9277 * 52579 * 134503 * 9183241 * 70541929 * 2514771527<10> * 14175966169<11> * 7819497303049<13> * 191390610856147561<18> * 9971430459978077225837677<25> * 4416640857488540481682612441<28> * 27542107953980594633792218895027329<35> * [1312537148...<729>] * [2550046853...<1495>] * [1003868003...<4608>] * [5689621682...<13872>] (0.81%)
10^20872+1 = 1000000000...<20873> = 17 * 1753249 * 5882353 * 23302878353<11> * 13103047536641<14> * 1244636174017944289<19> * 128358185655788728001<21> * [1169253079...<20797>] (0.36%)
10^20873+1 = 1000000000...<20874> = 11 * [9090909090...<20872>] (0.00%)
10^20874+1 = 1000000000...<20875> = 29 * 101 * 281 * 569 * 7669 * 9901 * 9941 * 16189 * 226549 * 7208489 * 121499449 * 90128409300108649<17> * 380623849488714809<18> * 4458192223320340849<19> * 9234177915412657069<19> * 2338375031517703232780909<25> * 7716926518833508778689508504941<31> * 93611382287513950329431625811490669<35> * 20996081257263730184696490606426919949<38> * 82519882659061966708762483486719446639288430446081<50> * 791145568078856137872408096636314622331869565265096415358925771275309<69> * 23742102289472351423104605582718329399560972065457968561934785062599221<71> * 843407644889588409015473024758866665298118138956929263554289382634028509255935457469<84> * 999999999999990000000000000099999999999999000000000000009999999999999900000000000001<84> * 42119269296696900571911233210284860119181841417224327914548495484369630946481330639729038447921181<98> * 101253197252546739391696960929770677225345517172721793498446653911414524366799333412935173798585607285941<105> * [4838971398...<799>] * [9901000000...<1680>] * [5932552563...<5849>] * [1109528069...<11744>] (3.85%)
10^20875+1 = 1000000000...<20876> = 11 * 251 * 5011 * 5051 * 9091 * 21001 * 162251 * 63716179 * 3895609001<10> * 10893295001<11> * 2560937409851<13> * 78875943472201<14> * 116011189311149998139<21> * 272828068791212993437<21> * 5254726476345994733251<22> * 17873312988479586292001<23> * 461278897961764513411218521401<30> * 301525294918950432087520298129941558711551656822567015411<57> * 14950128044255312629457887411604300692966728690551568705030373<62> * 269409792871731627664586194662281233853701011108906726055753272681082282441709251<81> * [4758831767...<631>] * [3904859197...<3308>] * [2733187740...<16547>] (1.87%)
10^20876+1 = 1000000000...<20877> = 73 * 137 * 23258321 * 152533657 * 928609787614113451844377<24> * 65552746171882583264230070868884366877803237222654400793<56> * [4629615844...<1193>] * [1000099999...<19585>] (0.48%)
10^20877+1 = 1000000000...<20878> = 7 * 11 * 13 * 42502761436338487<17> * [2138898458...<6942>] * [1098901098...<13917>] (0.09%)
10^20878+1 = 1000000000...<20879> = 89 * 101 * 521 * 16061 * 334049 * 5911541 * 1052788969<10> * 1056689261<10> * 16692085818029<14> * 17576772101461<14> * 5774294197526381<16> * 40323182760982109<17> * 1900381976777332243781<22> * 128018594791661318200369<24> * 182202742802607835615596881<27> * 23029730054839183841818690841<29> * 754309323029578981494450523147961<33> * 4832227158939716614468345433242909<34> * 40520191245153663291616075979301737566653577978261825599617472901135361<71> * 9537037576103752545861071409967321761728999089417907986752766348817191016093460769<82> * 389057640102575795238314817222406419443832674379928206992954147805827425053833398395365869<90> * [2132980516...<1385>] * [7498189180...<1706>] * [9900990099...<17280>] (2.43%)
10^20879+1 = 1000000000...<20880> = 11 * 88024188379907609<17> * 3762514725049163891<19> * [2744903476...<20843>] (0.18%)
10^20880+1 = 1000000000...<20881> = 97 * 353 * 449 * 641 * 1409 * 8353 * 9281 * 13249 * 69857 * 90017 * 177601 * 204161 * 206209 * 316801 * 1067329 * 1634881 * 2013761 * 3133441 * 8212801 * 18453761 * 490324577 * 66554101249<11> * 947147262401<12> * 75118313082913<14> * 692134775442241<15> * 20752917057986878529<20> * 44377100217988817256001<23> * 363050401891291226709889<24> * 3427762485430544075935398346603780801<37> * 349954396040122577928041596214187605761<39> * 1786971871341978412769793172635403245447905376001<49> * 315091637261160879997346594408168422516385623286349240690538356681453806401<75> * 70716147055257711374123575798428608590219877617672752248112085912824160137075376116481<86> * [2938875667...<336>] * 3240044370...<388> * [1444805311...<882>] * [2432312042...<1781>] * [1197174667...<2685>] * [1217611384...<3578>] * [2253414475...<10730>] (4.27%)
10^20881+1 = 1000000000...<20882> = 11 * 4397 * 11933 * 32971 * 35797 * 909091 * 924731 * 3448663 * 3641773 * 5220251 * 22387104769<11> * 2545650309889<13> * 18878230874693<14> * 1101686601717451<16> * 639669554630287241<18> * 909090909090909091<18> * 247025236977306025681323889<27> * 61828645758322140842666144519962696417487<41> * 72021403933746126426491665754465510017877<41> * 56772494575417679209143612613936371702842084190817259161711159777577563483338093894447335028905724214106839545113870547643014663862360146330362411<146> * [3800239951...<913>] * [9349922749...<2737>] * [1741469902...<16842>] (1.87%)
10^20882+1 = 1000000000...<20883> = 101 * 1061 * 27581 * 5051749 * 10286703004614149<17> * 94605857928025734629<20> * 245391150214875249502685807421982149521<39> * 39183683903547299202471125940449908897423309<44> * 95857172574244109092139928579854506165297073472804809<53> * 75277048352808729626679875852901448034540173569840168229<56> * 9557377469...<291> * [1037832207...<20349>] (2.56%)
10^20883+1 = 1000000000...<20884> = 7 * 11 * 13 * 140722088726663<15> * 8654387679629173<16> * 40514285415450607<17> * 1066943770156392366169<22> * 4452553526763061449993386983<28> * [1450894696...<6919>] * [2937463957...<13867>] (0.47%)
10^20884+1 = 1000000000...<20885> = 73 * 137 * 2393 * 285113 * 9419593 * 999048793 * 227165039897<12> * 3807960958399006163762044938087483809<37> * 4178437150016715837818641871709193476807772628503969494400330129962348520684914375257<85> * [4304011589...<844>] * [1001052207...<19880>] (0.77%)
10^20885+1 = 1000000000...<20886> = 11 * 9091 * 41771 * 9690641 * 2503204517897672317<19> * [8694329765...<4153>] * [1135104478...<16698>] (0.17%)
10^20886+1 = 1000000000...<20887> = 101 * 709 * 9901 * 430148941 * 1455336481<10> * 16472579341<11> * 230175856669373992253976277974612031182496625023886807386072581333871027940087154579555293851089822885094561<108> * 1424540183...<230> * [6070694693...<6834>] * [6871263196...<13679>] (1.79%)
10^20887+1 = 1000000000...<20888> = 11 * [9090909090...<20886>] (0.00%)
10^20888+1 = 1000000000...<20889> = 17 * 113 * 41777 * 5882353 * 21466897 * 2169763010980657<16> * 73765755896403138401<20> * 1314673426941265675169<22> * 119968369144846370226083377<27> * [3543340093...<2948>] * [1103190346...<17837>] (0.50%)
10^20889+1 = 1000000000...<20890> = 7 * 11^2 * 13 * 19 * 23 * 4093 * 8779 * 52579 * 83557 * 208891 * 570967 * 75732121 * 599144041 * 7093127053<10> * 183411838171<12> * 281722694703103<15> * 307049430679382623<18> * 38087571415274724997<20> * 29586976831484530461103<23> * 2764617069785703725933625413<28> * 15103518611026585115369311693<29> * 141122524877886182282233539317796144938305111168717<51> * 328830679310453754915155768227495235329261497517806584073599983097585101077717193987768606878995960468762394797684114544714219984484001065567626526501680440465693288035792812855582407<183> * 2885196031...<401> * [2688001800...<1228>] * [7283071106...<2072>] * [1754371227...<4155>] * [9990010000...<12600>] (4.00%)
10^20890+1 = 1000000000...<20891> = 101 * 3541 * 27961 * 376021 * 2339681 * 8272441 * 1842124557617101<16> * 3179112678155523753829488922284649<34> * [1690650016...<4128>] * [3880356671...<8334>] * [3576409999...<8352>] (0.37%)
10^20891+1 = 1000000000...<20892> = 11 * 859 * 28927 * 1058313049<10> * [3142707190...<1602>] * [1099999999...<19273>] (0.08%)
10^20892+1 = 1000000000...<20893> = 73 * 137 * 821753 * 99990001 * 4935345017<10> * 288693553177<12> * 33271417632680693329<20> * [2465458837...<6945>] * [1041202101...<13890>] (0.28%)
10^20893+1 = 1000000000...<20894> = 11 * 103 * 2459 * 4013 * 1128223 * 173733899 * 21993833369<11> * 16273195560419207<17> * [2127963722...<1217>] * [5991352784...<19626>] (0.24%)
10^20894+1 = 1000000000...<20895> = 101 * 8089 * 2049349 * 5938136708249<13> * 31275833988360461<17> * 360870110080542941<18> * 500886356409960490141<21> * 483128549554512237305554588359039822397307149685578249<54> * [1315786716...<619>] * [2798790954...<20143>] (0.64%)
10^20895+1 = 1000000000...<20896> = 7^2 * 11 * 13 * 127 * 211 * 241 * 2161 * 2689 * 3583 * 5573 * 9091 * 13931 * 29851 * 37811 * 55721 * 459691 * 909091 * 4147571 * 363555091 * 614739259 * 780302881 * 2640682241<10> * 29970369241<11> * 51423818851<11> * 1302554658007<13> * 3545105703277<13> * 10765760180213<14> * 12277415800813<14> * 1661378260814161<16> * 1797453367601081<16> * 6993293541230851<16> * 27877962807101681<17> * 28880190796545089<17> * 83603900194473037<17> * 265212793249617641<18> * 303298356916287001<18> * 18276168846821336356291<23> * 180724074168604579796294647309331<33> * 2313690662340499476839285921303291<34> * 111645105744695543769378129533591929201<39> * 314293140427626491056008875724151058487007<42> * 34156671999167558280316457548021397439888515117317065783422183070342102287109965498971<86> * [4578798353...<370>] * [2909177223...<788>] * [4805153851...<1126>] * [2476320615...<1516>] * [1088466075...<2360>] * [8850660781...<4702>] * [2013767154...<9480>] (2.66%)
10^20896+1 = 1000000000...<20897> = 19841 * 976193 * 6187457 * 834427406578561<15> * [9999999999...<20864>] (0.15%)
10^20897+1 = 1000000000...<20898> = 11 * 125383 * 540943085521<12> * [1340346498...<20880>] (0.09%)
10^20898+1 = 1000000000...<20899> = 101 * 109 * 1549 * 4861 * 9901 * 100621 * 153469 * 338669 * 2925721 * 13374721 * 73421641 * 309415789 * 1869883381<10> * 11506773169<11> * 999999000001<12> * 40798705910329<14> * 54325141710661<14> * 1596501606879721<16> * 1390820777896246391808181<25> * 6056569717114034438093089<25> * 279060762796539348792116809<27> * 729719975272091111399590489<27> * 8045181580990560114237163201<28> * 59779577156334533866654838281<29> * 168199595687205968107363838899561<33> * 115309033658716156289440262332960681<36> * 13441721102334727627682496494535257828666281<44> * 202026760686388880964731015757788959143121139209<48> * 46229724820742226005075125617528225785246749164469<50> * 2923500556298303355222653948542706598448925085853709961673200056984872843366529<79> * 341796090604674881849636380229010216626944264336893367139245334739710314141368913850637159182300704681<102> * 4108154882...<248> * [2062064269...<395>] * [1361996253...<1505>] * [6151200571...<4479>] * [2416422091...<13593>] (4.44%)
10^20899+1 = 1000000000...<20900> = 11 * [9090909090...<20898>] (0.00%)
10^20900+1 = 1000000000...<20901> = 73 * 137 * 401 * 457 * 617 * 881 * 1201 * 1601 * 6689 * 135433 * 1390801 * 1403417 * 1676321 * 4537201 * 53063201 * 2618770001<10> * 5964848081<10> * 24978492001<11> * 513171045601<12> * 5240808656722481737<19> * 18106083645138827479299841<26> * 29535930502574597943022801<26> * 1998040637750997434972713736401<31> * 12231385993824607429587973444912801<35> * 16205834846012967584927082656402106953<38> * 297478330786365628414805305290302483555043017<45> * 545358172357012292201336067885308067971306777<45> * 129694419029057750551385771184564274499075700947656757821537291527196801<72> * 11351872871736662882973881952326901248582292849023836549375698070374687854710556299659477866174801360953461975027241770726447219069239499432349602724177071521<158> * 8176505920...<254> * [2024304810...<667>] * [4003444242...<790>] * [1970338029...<1383>] * [2763934413...<2825>] * [3818586586...<14391>] (4.05%)