10⁸¹⁰¹+1 = 1000000000..._<8102> = 11 × 1129698587314333_<16> × 86333227502416969_<17> × [9321091091..._<8068>] (0.41%)

10⁸¹⁰²+1 = 1000000000..._<8103> = 101 × 4306407449_<10> × 100354903429811405421636841_<27> × [2290999059..._<8065>] (0.46%)

10⁸¹⁰³+1 = 1000000000..._<8104> = 7 × 11 × 13 × 223 × 293 × 877 × 4663 × 7253 × 32413 × 48619 × 1215451 × 3601237 × 90105361 × 15190445609_<11> × 247482272761_<12> × 422650073734453_<15> × 296557347313446299_<18> × 10826684964539959837294043117_<29> × 114476157965870557634443355647_<30> × 5830219322612939561246246317093_<31> × 21606064498691505246200058094681_<32> × 48911689110891303706174193415115219_<35> × 2865788889761949979999225923309086021030­11_<42> × 3943828696311504418317587369596960932033­847171_<46> × 6114490574525744118339152320279030460928­4611733_<47> × [7020313313..._<2545>] × [4750930593..._<5169>] (4.81%)

10⁸¹⁰⁴+1 = 1000000000..._<8105> = 17 × 761777 × 5882353 × [1312720113..._<8091>] (0.17%)

10⁸¹⁰⁵+1 = 1000000000..._<8106> = 11 × 9091 × 27072155659_<11> × 70331883161_<11> × 34260542145041_<14> × 291589036860789922321_<21> × [9801448116..._<1596>] × [5363705258..._<6449>] (0.74%)

10⁸¹⁰⁶+1 = 1000000000..._<8107> = 29 × 101 × 281 × 9901 × 226549 × 121499449 × 13058938009321_<14> × 25895128707202609_<17> × 4458192223320340849_<19> × 350067212090455357429_<21> × 3516493057568485255839901_<25> × 16041626127830486357454781_<26> × 121281361155185115284360748638810161_<36> × 1439921227944130405196041866693950149_<37> × [6876063708..._<348>] × [1476279953..._<684>] × [2885160235..._<2284>] × [2927879010..._<4579>] (2.63%)

10⁸¹⁰⁷+1 = 1000000000..._<8108> = 11³ × 23 × 4093 × 4357 × 8779 × 25169 × 1485397 × 27847549423_<11> × 15046577238352837_<17> × 102502981431359171598893_<24> × 9090909090909090909090909090909090909090­90909090909090909090909091_<66> × 5444710013725792963322916526756467746442­08265246405598834086237345292487_<72> × 3950078275..._<650> × [6646029752..._<7244>] (10.65%)

10⁸¹⁰⁸+1 = 1000000000..._<8109> = 73 × 137 × 16217 × 1344922609_<10> × 59414726713_<11> × [7716043329..._<8080>] (0.35%)

10⁸¹⁰⁹+1 = 1000000000..._<8110> = 7 × 11 × 13 × 19 × 103 × 3499 × 4013 × 5407 × 46853 × 52579 × 124339 × 362521 × 2142001 × 2384047 × 2784091 × 3178729 × 5364487 × 27013783 × 28478809 × 579242089 × 832339891 × 21993833369_<11> × 31565666437_<11> × 276402747619_<12> × 291078844423_<12> × 2405782797823_<13> × 54137839415767_<14> × 377526955309799110357_<21> × 917813298871770308465539_<24> × 26526333976234009593263527_<26> × 803352514304717509522913779_<27> × 8558521377558885170560719135529_<31> × 1573934772575790000929935727527896834161­20273639369_<51> × 9090909090909090909090909090909090909090­909090909091_<52> × [2761219347..._<307>] × [1524674330..._<817>] × [1068384294..._<1615>] × [2275817825..._<4971>] (4.96%)

10⁸¹¹⁰+1 = 1000000000..._<8111> = 101 × 3541 × 27961 × 32441 × 81101 × 25822241 × 3697471947601_<13> × 3939962391181_<13> × 85205610292801_<14> × 17372751139265521_<17> × 59136153405607350577397341_<26> × [2512965636..._<1608>] × 5761392727..._<3179> × [7972320906..._<3216>] (40.53%)

10⁸¹¹¹+1 = 1000000000..._<8112> = 11 × 16223 × 1314046889_<10> × [4264472167..._<8097>] (0.18%)

10⁸¹¹²+1 = 1000000000..._<8113> = 97 × 353 × 449 × 641 × 1409 × 48673 × 69857 × 206209 × 19725473 × 57653857 × 141402977 × 4694971009_<10> × 40336502753_<11> × 66554101249_<11> × 27401751643969_<14> × 75118313082913_<14> × 754651871841089_<15> × 4155351649525441_<16> × 49190086416352961_<17> × 57251185374719385038081_<23> × 5771456256338603632030863713_<28> × 3385712628753289239019454468275018070505­6727269149496594755320455272870740814407­0214357217318801663936431733367877452215­20888878951616858121601_<143> × [8890597240..._<351>] × 1604741613..._<2420> × [1000000000..._<4993>] (34.14%)

10⁸¹¹³+1 = 1000000000..._<8114> = 11 × 81131 × 909091 × 55405813 × 231360835259_<12> × 33743718872543_<14> × 909090909090909091_<18> × 247025236977306025681323889_<27> × 3072785410997717953940247877_<28> × 437822287350745706486873039808753407_<36> × 6182864575832214084266614451996269641748­7_<41> × 7202140393374612642649166575446551001787­7_<41> × 2808648462664797249631967148819187038371­92646197734463_<54> × 1120522253011683685532152825789043757514­5023592596037161_<56> × [3055273414..._<288>] × [3579813924..._<1053>] × [6153419854..._<6431>] (4.22%)

10⁸¹¹⁴+1 = 1000000000..._<8115> = 101 × 16229 × 97369 × 243421 × 149865581 × [1717537437..._<8090>] (0.31%)

10⁸¹¹⁵+1 = 1000000000..._<8116> = 7 × 11 × 13 × 211 × 241 × 2161 × 9091 × 19477 × 64921 × 503131 × 8618131 × 63546943 × 575525539 × 780228037 × 2889259542733_<13> × 10481415133771_<14> × 13966350372352211_<17> × 73584235176376681_<17> × 589078118316588764011_<21> × 22350974299077144034230465505681_<32> × [1165160524..._<532>] × [5339378687..._<1047>] × [3523781329..._<2113>] × [7115227209..._<4252>] (2.13%)

10⁸¹¹⁶+1 = 1000000000..._<8117> = 73 × 137 × [9999000099..._<8112>] (0.05%)

10⁸¹¹⁷+1 = 1000000000..._<8118> = 11 × 23977619 × 362970762419_<12> × 9198752638685767_<16> × 2034318105456567019_<19> × [5581896908..._<8063>] (0.67%)

10⁸¹¹⁸+1 = 1000000000..._<8119> = 89 × 101 × 9901 × 68389 × 509221 × 3539449 × 165628849 × 838151029 × 1052788969_<10> × 1056689261_<10> × 5419170769_<10> × 9227715841_<10> × 79082656489_<11> × 999999000001_<12> × 2764555025761_<13> × 789390798020221_<15> × 2361000305507449_<16> × 66881844823755776761_<20> × 1538607523068637497164701_<25> × 216667590115007379484962361_<27> × 952708264855931692546907041_<27> × 7170172761396005732191662987589_<31> × 16759443696240714850396104854453041_<35> × 8399157903472060939265697411239739500688­0745482841386049_<56> × 1447745997018511893740076606031686237538­345362413531560645573104006506749609_<76> × 5549977730960882375135249589624499286760­83464040648051002127127164539795044109_<78> × 8218476795659338409712353841905411607826­2306591511439985225455868667042390990755­12109_<85> × [4437742030..._<414>] × [6097971495..._<792>] × [6200968553..._<1539>] × [1219316317..._<4773>] (7.41%)

10⁸¹¹⁹+1 = 1000000000..._<8120> = 11 × 47 × 139 × 2531 × 1006029527_<10> × 549797184491917_<15> × 5654000177636083959487421885693964261705­0503_<44> × [1598235487..._<300>] × [1099999999..._<7745>] (0.93%)

10⁸¹²⁰+1 = 1000000000..._<8121> = 17 × 113 × 929 × 23201 × 182353 × 1378721 × 4465073 × 5070721 × 5882353 × 9808961 × 89904641 × 112705601 × 33593219521_<11> × 5758943337281_<13> × 73765755896403138401_<20> × 6717658458758041138199521_<25> × 6786388376709122766807041_<25> × 19721061166646717498359681_<26> × 119968369144846370226083377_<27> × 1081862991605594332069477594870669601_<37> × 3114824318784041623490389014199610366824­348609_<46> × 7048825036889724792070988576679306254761­6862669921_<50> × 4948797624251336428769758769452316283490­536687091682910619153_<61> × 2458520835510512175414654124612029223953­95232640413677301754561_<63> × 3696603330750000688567094922124549915574­4897643777997943492126583399578160290634­4537626232976067313_<99> × [1000000009..._<897>] × [1019475977..._<1338>] × [4328944791..._<5325>] (6.93%)

10⁸¹²¹+1 = 1000000000..._<8122> = 7 × 11 × 13 × 373567 × 9999659 × 11210082223_<11> × 167615050980463_<15> × [4838383773..._<2675>] × [2941643932..._<5407>] (0.49%)

10⁸¹²²+1 = 1000000000..._<8123> = 101 × 1049 × 14149 × 2049349 × 3849829 × 6172721 × 33887081 × 45401981 × 59022997676009_<14> × 322185369274849_<15> × 4831285495545122373055545883590398223973­07149685578249_<54> × 1345744499..._<224> × [7200821137..._<7773>] (4.30%)

10⁸¹²³+1 = 1000000000..._<8124> = 11 × 3821709041_<10> × 247375003249116113633609_<24> × [9615987324..._<8089>] (0.42%)

10⁸¹²⁴+1 = 1000000000..._<8125> = 73 × 137 × 5417 × 99990001 × 11105638292858233_<17> × 115725333011847193_<18> × 3143081341461164156325559673_<28> × [4569515480..._<2640>] × [1000099999..._<5409>] (0.94%)

10⁸¹²⁵+1 = 1000000000..._<8126> = 11 × 131 × 251 × 859 × 3251 × 5051 × 9091 × 21001 × 107251 × 160001 × 162251 × 4271801 × 1034855251_<10> × 1058313049_<10> × 10893295001_<11> × 82009322851_<11> × 6340299030001_<13> × 50779597795001_<14> × 78875943472201_<14> × 128372635774581251_<18> × 318942474614140390001_<21> × 7551470154673690011100506251_<28> × 8396862596258693901610602298557167100076­327481_<46> × 2694097928717316276645861946622812338537­0101110890672605575327268108228244170925­1_<81> × 5155980583494268934255123245395069977106­0820328070035168090472947360446489351242­6851_<84> × 1618471741300957926037194539868177094144­6381711386794528198581933829095273175764­3195331250705338664714884091786251_<114> × [9587725422..._<464>] × [2972373788..._<1188>] × [2088616711..._<5960>] (6.33%)

10⁸¹²⁶+1 = 1000000000..._<8127> = 101 × 208409 × 28559389 × 1491383821_<10> × 5775213209_<10> × 2324557465671829_<16> × 19928376468523861275100215975269_<32> × 2491653754605959598248971533744219901_<37> × 1079722787116034111142950317925753346451­2022361_<47> × [1765884106..._<389>] × [8775693219..._<7575>] (2.00%)

10⁸¹²⁷+1 = 1000000000..._<8128> = 7² × 11 × 13 × 19 × 127 × 379 × 2689 × 3613 × 5419 × 52579 × 459691 × 909091 × 1708219 × 3613807 × 5274739 × 10455967 × 57009401 × 70541929 × 2182600451_<10> × 14175966169_<11> × 348066943183_<12> × 41130156794062447_<17> × 212057054080446499_<18> × 8642670625016390971_<19> × 120525789336558438197_<21> × 2027076204536144589137059_<25> × 7306116556571817748755241_<25> × 216980684707341625953442561_<27> × 189772422673235585874485732659_<30> × 43304701938592897922269981296083376277_<38> × 63060936944326674212591995662102125143_<38> × 3047680368470744910648946080146958676329­97_<42> × 3605696680890791382725432167911038465896­663_<43> × 6798855735656881396055959081077830421892­567_<43> × 4841193139246416682912992055944726358563­520908223_<49> × 3503742361099708662209606335321225392619­5272207441939622830330161546317292588303_<80> × 3888962863856960110488574591030581052130­9841050950415367273378889527486268283796­0292927601154279397218087934885439100106­56122551369920766848757_<143> × 1752088930844817629923654387608505754917­7040060630786419006322010941244780445558­8707117116636558355328705360270056801068­3873135238140340718711012045219107751867­190380847_<169> × [2101388648..._<467>] × [1000000000..._<757>] × [2516585799..._<1478>] × [1324085851..._<4499>] (11.43%)

10⁸¹²⁸+1 = 1000000000..._<8129> = 145621249 × 1265011073_<10> × 1370510849_<10> × 396655340801_<12> × 15343168188889137818369_<23> × 159598692016900681330817_<24> × 515217525265213267447869906815873_<33> × [7914985735..._<8012>] (1.43%)

10⁸¹²⁹+1 = 1000000000..._<8130> = 11² × 23 × 2957 × 4093 × 8779 × 25127 × 127427249 × 308574398454851_<15> × 24358569084536808645026202437_<29> × [9601808569..._<722>] × [1463460555..._<7338>] (0.86%)

10⁸¹³⁰+1 = 1000000000..._<8131> = 61 × 101 × 3541 × 7589 × 9901 × 27961 × 108401 × 4188901 × 39526741 × 195998041 × 7622151421_<10> × 131567289967913427781_<21> × 27796241057530015431721_<23> × 453374924088683525535372341_<27> × 7232934780311654535925465700775281_<34> × [1803763208..._<503>] × [2067270081..._<1027>] × [7676672448..._<1060>] × [3576409999..._<1080>] × [2619634888..._<2142>] × [2529932837..._<2161>] (1.97%)

10⁸¹³¹+1 = 1000000000..._<8132> = 11 × 6299 × 9689 × 390289 × 16864733 × 4855067598095567_<16> × 79183430667597023_<17> × 297262705009139006771611927_<27> × 5563510205554383683546545704914850146980­3488052399095459738250346232835862545261­8143028489824347845773903751383591396913­8814438028961942675024261456156912807554­3_<161> × [3559361184..._<7890>] (2.97%)

10⁸¹³²+1 = 1000000000..._<8133> = 73 × 137 × 457 × 857 × 17977 × 162641 × 1403417 × 17845889 × 4724110777_<10> × 3400407379969_<13> × 5240808656722481737_<19> × 1174728377118274186697_<22> × 610278304060012464870755221969_<30> × 2974783307863656284148053052903024835550­43017_<45> × [1073828389..._<350>] × [1808349795..._<7615>] (2.07%)

10⁸¹³³+1 = 1000000000..._<8134> = 7 × 11 × 13 × 298211 × 28632931361_<11> × 749507806009_<12> × 144765760714756900321_<21> × 1516118559345749741731_<22> × 1051066137192328479468110659013_<31> × 14671494940156574836425872707127_<32> × [9211646654..._<2621>] × [5006792427..._<5379>] (1.64%)

10⁸¹³⁴+1 = 1000000000..._<8135> = 29 × 101 × 281 × 97609 × 2131109 × 121499449 × 1723692209_<10> × 13870856749_<11> × 1255194468361_<13> × 375203735417488713709_<21> × 2302396795526516076776837687352113616978­6061_<44> × 9999999999999900000000000000999999999999­9900000000000000999999999999990000000000­0001_<84> × 4300297028838474156015268798064619519844­2861652725689411586949534183336343885152­2239838194937434654367240751665935313744­1_<121> × [7281453613..._<974>] × [5921975204..._<6835>] (4.00%)

10⁸¹³⁵+1 = 1000000000..._<8136> = 11 × 9091 × 45557 × 25690331 × 85970681 × 136820939 × 22472615587552597_<17> × 84781658335540387182681091_<26> × [6490019593..._<1597>] × [5874438592..._<6463>] (0.93%)

10⁸¹³⁶+1 = 1000000000..._<8137> = 17 × 8929 × 16273 × 5882353 × 658576657 × 9999999900000001_<16> × 1231443814141854193_<19> × 1119946242580356142905139433307201254339­79169_<45> × [9999999900..._<896>] × [1233045406..._<1766>] × [6145148405..._<5372>] (1.27%)

10⁸¹³⁷+1 = 1000000000..._<8138> = 11 × 1237 × 1423 × 48823 × 44092859 × 102860539 × 984385009 × 9615060929_<10> × 612053256358933_<15> × 182725114866521155647161_<24> × 251125701386549663111897441_<27> × 23824821207333348486876449303_<29> × 1471865453993855302660887614137521979_<37> × 6644317454149057909799751015802107695839­2938976011506949065646573_<65> × [3765714672..._<7897>] (2.95%)

10⁸¹³⁸+1 = 1000000000..._<8139> = 101 × 521 × 3955069 × 1776574229_<10> × 1171417416329_<13> × 1900381976777332243781_<22> × [8452145205..._<612>] × [1437420887..._<7473>] (0.66%)

10⁸¹³⁹+1 = 1000000000..._<8140> = 7 × 11 × 13 × 10853 × 5435918729_<10> × 178274566399795662073302997_<27> × 421794296629383911904809584049_<30> × [2049247740..._<2643>] × [1098901098..._<5425>] (0.89%)

10⁸¹⁴⁰+1 = 1000000000..._<8141> = 73 × 137 × 617 × 881 × 3257 × 1676321 × 31094801 × 61544617 × 1922863361_<10> × 5964848081_<10> × 16444765848115921_<17> × 69872374128903104881_<20> × 165553216084681453513_<21> × 453327400041552921193_<21> × 1200208041009256171817_<22> × 2587615968623127199913_<22> × 5158143091517340832801_<22> × 4805245671633605313329281_<25> × 18837370424185047846474799441_<29> × 89062217122354312168960127809_<29> × 16205834846012967584927082656402106953_<38> × 9879587347765036607308472984299267446449­2842748785038003856042863807090965021048­0224210297181360032908354907525523774393_<120> × 1135187287173666288297388195232690124858­2292849023836549375698070374687854710556­2996594778661748013609534619750272417707­26447219069239499432349602724177071521_<158> × [2141973864..._<502>] × [1479197691..._<1325>] × [2393397685..._<5724>] (7.26%)

10⁸¹⁴¹+1 = 1000000000..._<8142> = 11 × 909091 × 2930761 × 908305432997_<12> × 34649350411801_<14> × 197880946702887449_<18> × 6725761392658111304398921266899_<31> × [2170375460..._<1089>] × [3753291005..._<6966>] (1.07%)

10⁸¹⁴²+1 = 1000000000..._<8143> = 101 × 709 × 829 × 1289 × 9901 × 32569 × 81421 × 113989 × 1569889 × 25679869 × 430148941 × 18371524594609_<14> × 536430531035337769_<18> × 757108543129939106221_<21> × 4181003300071669867932658901_<28> × 1910846617679140068129270917199256656502­9_<41> × 2301758566693739922539762779746120311824­9662502388680738607258133387102794008715­4579555293851089822885094561_<108> × 1424540183..._<230> × [1240466218..._<2548>] × [1038529622..._<5088>] (6.24%)

10⁸¹⁴³+1 = 1000000000..._<8144> = 11 × 103 × 4013 × 40237 × 2952557 × 531896929 × 21993833369_<11> × 1899591271579_<13> × 6133159727875372933847_<22> × [7573485234..._<446>] × [1793529027..._<7627>] (0.87%)

10⁸¹⁴⁴+1 = 1000000000..._<8145> = 353 × 449 × 641 × 1409 × 69857 × [9999999999..._<8128>] (0.20%)

10⁸¹⁴⁵+1 = 1000000000..._<8146> = 7 × 11 × 13 × 19 × 211 × 241 × 1087 × 1811 × 2161 × 3259 × 9091 × 13757 × 29611 × 52579 × 103171 × 521281 × 3762091 × 12271801 × 5393504971_<10> × 9822131521_<10> × 7877937064771_<13> × 8985695684401_<13> × 11367667498264291_<17> × 501662682945077131_<18> × 1108903090151913481_<19> × 1467439874822650361_<19> × 124016216479696838809_<21> × 8141331381881366449493557771_<28> × 83987602268031622311662880241_<29> × 120856583251466840154268833761_<30> × 4841657121709097958719647834655401882481­86710475652666425207_<60> × 2590054886367293045183105396136371830314­3744545008210388536104834284881_<71> × 5781376922797866530410940379929163649687­6923883191635824278127299864929561_<74> × 7789184249331553934805110885787624954095­4771637632968716627112002173902204209005­4703_<84> × 6618229806935704237104191372462728622924­3632428483707077116950007693132994895137­1022857537417155351378598593964494941181­8054219766247091894273493510582576324374­1598154908973645214837925427979563331_<197> × [5025734938..._<688>] × [3071494320..._<1077>] × [9479285026..._<1353>] × [7909103854..._<4258>] (9.45%)

10⁸¹⁴⁶+1 = 1000000000..._<8147> = 101 × 570221 × 1792121 × [9688757585..._<8132>] (0.17%)

10⁸¹⁴⁷+1 = 1000000000..._<8148> = 11 × 2851451 × 7723357 × 5695555331329833707303_<22> × 20056881577150959212650877_<26> × [3613564461..._<8086>] (0.75%)

10⁸¹⁴⁸+1 = 1000000000..._<8149> = 73 × 137 × 7841 × 114073 × 99990001 × 243087433 × 11189053009_<11> × 398282138129_<12> × 603812429055411913_<18> × 127522001020150503761_<21> × 148029423400750506553_<21> × 86426983626665652269725227649_<29> × 17577261734458283472370156758001_<32> × 8988960626907390108290157843627796598388­3967076039535258233_<59> × 1112364433..._<326> × [1000099999..._<769>] × [5876772384..._<2253>] × [1014201745..._<4575>] (6.79%)

10⁸¹⁴⁹+1 = 1000000000..._<8150> = 11 × 59 × 6560496291091_<13> × 435709453047047_<15> × 58513940129535379432477007_<26> × 154083204930662557781201849_<27> × 1431135121058581084714805848152798178115­6825517304025972437630442871247925720843­19412841582786640330468733_<106> × 1654743324648052017434917920719343388118­1252010316221293841402155991914006665222­5037848628410922623655327402658744071445­59674728417785771_<137> × [2524618165..._<7826>] (3.97%)

10⁸¹⁵⁰+1 = 1000000000..._<8151> = 101 × 3541 × 16301 × 27961 × 60101 × 7019801 × 498698470009_<12> × 1097055741161_<13> × 1389424958501_<13> × 14103673319201_<14> × 79299079505641_<14> × 1680588011350901_<16> × 14953813568954801_<17> × 10524260798399543681_<20> × 1719430830390762437101_<22> × 2348108119553742714216401_<25> × 76232914055207003005318654163381_<32> × 2604342325..._<281> × [4111028237..._<622>] × 1646145519..._<626> × [2827295434..._<3191>] × [4216372289..._<3216>] (13.77%)

10⁸¹⁵¹+1 = 1000000000..._<8152> = 7 × 11² × 13² × 23 × 157 × 419 × 859 × 4093 × 6007 × 6397 × 8779 × 40129 × 51767 × 85691 × 216451 × 258743 × 1458973 × 6982691 × 38816051 × 82266809 × 162025579 × 599144041 × 1058313049_<10> × 22144088539_<11> × 51470076373_<11> × 183411838171_<12> × 196339580053_<12> × 264752347289_<12> × 388847808493_<12> × 20733189985223_<14> × 210991557708361_<15> × 384171943341499_<15> × 909090909090909091_<18> × 104730101107272149081_<21> × 80216851991399964961367677_<26> × 753201806271328462547977919407_<30> × 4398526783100422870888251951691_<31> × 9493467562479980587204226253298411_<34> × 6379603923183116557572498736754081808902­892003349145377489_<58> × 3460752460920951256221365127056152886287­9196390936320471942325254862879783_<74> × 4387259075771561776852018194191142555333­0513423366940280796464989101671998970339­2491612289098617653_<99> × 7851694660671039223020743416020582394261­6261812033852023976676722234797361422590­0721518268190627331693_<102> × 2034912907341890579508004374922618204834­5743806231961039526244407434201293317243­0003527282053786028163285013432528393216­3005113368044494901325885217871107832645­761419_<166> × 1184063086040147380329868803939835534836­9873648652373709121433689111103721666356­9858459578047055026965068496734007753047­7246997846873893490310131726641084013831­34457213_<168> × [1907025981..._<253>] × 2368731022..._<418> × [3875562825..._<2132>] × [2135029081..._<4310>] (17.88%)

10⁸¹⁵²+1 = 1000000000..._<8153> = 17 × 5882353 × 26833961551681_<14> × 36105906169889_<14> × 201272912888734212524452579713678475313_<39> × [5128042565..._<8079>] (0.90%)

10⁸¹⁵³+1 = 1000000000..._<8154> = 11 × 935875736987641_<15> × 1136255914453660881247_<22> × 909090909090909090909090909091_<30> × 9713799312..._<247> × [9680917705..._<7839>] (3.85%)

10⁸¹⁵⁴+1 = 1000000000..._<8155> = 101 × 109 × 9901 × 15101 × 153469 × 3930229 × 8197489 × 20481641 × 111791341 × 1442089261_<10> × 638173532989_<12> × 999999000001_<12> × 38154840911641_<14> × 13583253282268626115861342141_<29> × 15714849320045516866749102721_<29> × 59779577156334533866654838281_<29> × 1889814221792502144778850389566464768120­0752522084662517562824501754749571734130­4519447280552146559165713534073382085460­954497219653965265520569_<144> × 1693905023976482974406975673362358000111­8023970162008400581443223287867889068114­8892975960619401132072976759101591100462­84460131801859007072447569_<146> × 1009998990..._<601> × [2210694811..._<1731>] × [1675599335..._<5358>] (13.08%)

10⁸¹⁵⁵+1 = 1000000000..._<8156> = 11 × 9091 × 13049 × 552677 × 909091 × 4147571 × 7351777862771_<13> × 265212793249617641_<18> × 281156940804608933_<18> × 13735253988715302521_<20> × 131293689927974865167_<21> × 179719775374509719903_<21> × 1104211639510104471092325504815084487468­17791459_<48> × 1134592082241812086025433183314893126820­7872250962261786909131335180907668227111­7469696149897954452324260422892067519437­0887660714303521711888923919224666398211_<160> × 1089329516..._<897> × [1668286879..._<1351>] × [9091000909..._<5568>] (15.17%)

10⁸¹⁵⁶+1 = 1000000000..._<8157> = 73 × 137 × 212057 × 478169969 × [9861015976..._<8138>] (0.22%)

10⁸¹⁵⁷+1 = 1000000000..._<8158> = 7 × 11 × 13 × 1131522727_<10> × 2105153388463_<13> × 30452386589543717251_<20> × 10056340541291802545988422213_<29> × 242581619207145661203657331367_<30> × [1223737075..._<2642>] × [4613298762..._<5415>] (1.24%)

10⁸¹⁵⁸+1 = 1000000000..._<8159> = 101 × 2359088277293773372812038171185069_<34> × [4196956169..._<8123>] (0.43%)

10⁸¹⁵⁹+1 = 1000000000..._<8160> = 11 × 3545105703277_<13> × 10765760180213_<14> × 12277415800813_<14> × 2670502781396266997_<19> × 3404193829806058997303_<22> × 180724074168604579796294647309331_<33> × 3142931404276264910560088757241510584870­07_<42> × 3415667199916755828031645754802139743988­8515117317065783422183070342102287109965­498971_<86> × [1099999999..._<7921>] (2.93%)

10⁸¹⁶⁰+1 = 1000000000..._<8161> = 193 × 769 × 6529 × 19841 × 224129 × 976193 × 4504321 × 6187457 × 26732161 × 1280238721_<10> × 42196247809_<11> × 975679416961_<12> × 1050766310593_<13> × 6190726538881_<13> × 834427406578561_<15> × 599342212626720001_<18> × 1253224535459902849_<19> × 9436966498586910837121_<22> × 10057985820552786713090497_<26> × 24047610294247180370244481_<26> × 1057022810110645808388441692708170409856­1_<41> × 5376349118996722135857554610727903470969­7_<41> × 2695404316893288775710390115296882289766­41_<42> × 2584731484587868899808294916932753463307­2641_<44> × 5431852955926725494993023946436402759183­74120256093130759988042950370991361_<75> × 2642485680977517391378418105893565400120­9065687491145404865435327012853922339304­27735879112610561_<97> × 9999999999999999999999999999999900000000­0000000000000000000000009999999999999999­9999999999999999000000000000000000000000­00000001_<128> × [6482183876..._<404>] × [3828111204..._<1001>] × [2893375781..._<2015>] × [1594361737..._<4052>] (8.46%)

10⁸¹⁶¹+1 = 1000000000..._<8162> = 11 × 2040251 × [4455779750..._<8154>] (0.09%)

10⁸¹⁶²+1 = 1000000000..._<8163> = 29 × 89 × 101 × 281 × 1061 × 5051749 × 121499449 × 248313269 × 1052788969_<10> × 1056689261_<10> × 1617496189_<10> × 7059580921_<10> × 39511854229_<11> × 64695344429_<11> × 4040366544061_<13> × 133200830691589_<15> × 187992901187185185404878781157273270049_<39> × 245391150214875249502685807421982149521_<39> × 1293432523852858319492842361028667974073­1789_<44> × 7527704835280872962667987585290144803454­0173569840168229_<56> × 2556194893173839918095986049303563300534­6674997219855227412314112685523898853595­360610683149167147379131162769_<110> × [6816080580..._<541>] × [6234476051..._<977>] × [9900990099..._<6240>] (4.95%)

10⁸¹⁶³+1 = 1000000000..._<8164> = 7 × 11 × 13 × 19 × 32653 × 52579 × 593179 × 12005053 × 44221693 × 1374997489_<10> × 12399515371_<11> × [5507332888..._<890>] × [1282963752..._<1795>] × [8072896149..._<5426>] (0.65%)

10⁸¹⁶⁴+1 = 1000000000..._<8165> = 73 × 137 × 1580801 × 35252297613924163416857_<23> × 265992545707898899331089_<24> × 6325274402021507450906224122454439230492­01_<42> × 1066349768..._<579> × [1000099999..._<7489>] (8.28%)

10⁸¹⁶⁵+1 = 1000000000..._<8166> = 11 × 47 × 139 × 691 × 2131 × 2531 × 8521 × 9091 × 290249 × 6529779121_<10> × 549797184491917_<15> × 723507190050691_<15> × 37711077751354321_<17> × 850431283134665625757531_<24> × 1026684688942915478900251_<25> × 34434743512248293535045225021577597_<35> × 3132106946418106835541520932340538954170­6979493156189716729115659_<65> × 1591879884384947756889998393793196655587­7132981347465830696251648192619376266439­940521_<86> × 5900342768..._<249> × 1793021701..._<1465> × [1068987016..._<6137>] (24.85%)

10⁸¹⁶⁶+1 = 1000000000..._<8167> = 101 × 9901 × 2449801 × [4041548721..._<2714>] × [1009998990..._<5441>] (0.15%)

10⁸¹⁶⁷+1 = 1000000000..._<8168> = 11 × 294013 × 1024981133011093_<16> × 13344808997458019_<17> × [2260541830..._<8130>] (0.46%)

10⁸¹⁶⁸+1 = 1000000000..._<8169> = 17 × 5882353 × [9999999900..._<8160>] (0.10%)

10⁸¹⁶⁹+1 = 1000000000..._<8170> = 7² × 11 × 13 × 127 × 2689 × 16339 × 110477 × 459691 × 909091 × 147351852638675482771921_<24> × 329092793648317084771939_<24> × 2086997763174890144712017862197558806624­9_<41> × 2675825931..._<320> × [1098901098..._<777>] × [3342521961..._<2305>] × [5569496854..._<4652>] (5.35%)

10⁸¹⁷⁰+1 = 1000000000..._<8171> = 101 × 761 × 1901 × 3041 × 3541 × 7741 × 27961 × 74861 × 81701 × 98041 × 338669 × 26209361 × 417332341 × 5940178241_<10> × 223452035969_<12> × 1014239783789_<13> × 1044817620601_<13> × 2110485315121_<13> × 2198478623863901_<16> × 722817036322379041_<18> × 1369778187490592461_<19> × 3116169437773716001_<19> × 780548018657747948342675331841_<30> × 4581921817207406357730186303139529968338­01_<42> × 7549370642855106064318428883982856249713­821_<43> × 2054722677878217012053943008368973039472­7567536361_<50> × 2923500556298303355222653948542706598448­925085853709961673200056984872843366529_<79> × 2198082610937318394308701323982817432408­3831078225247586850633941390323492044945­842110985914964169190119801_<107> × 3422999315024124891490479888930555684687­9469995993217781973389422277649762991938­1410405213349176797123378801504531160389­523331369411970776284398551350113041_<156> × [1660086812..._<1455>] × [9152166318..._<3001>] × [3540999996..._<3024>] (8.46%)

10⁸¹⁷¹+1 = 1000000000..._<8172> = 11 × 245131 × 1291019 × 2846449561_<10> × 2044291762555573_<16> × [4936624257..._<8134>] (0.46%)

10⁸¹⁷²+1 = 1000000000..._<8173> = 73 × 137 × 3169 × 98641 × 141649 × 285113 × 9419593 × 99990001 × 1858857601_<10> × 227165039897_<12> × 3199044596370769_<16> × 103869814553354881_<18> × 584044012514330255281_<21> × 258757010715575110463353_<24> × 458319145949925131674164294073_<30> × 3807960958399006163762044938087483809_<37> × [4304011589..._<844>] × [6261074342..._<1756>] × [8432180115..._<5371>] (2.47%)

10⁸¹⁷³+1 = 1000000000..._<8174> = 11² × 23 × 1487 × 4093 × 8779 × 32693 × 3677851 × 9840293 × 4230995398887217379_<19> × 12405133508386593899_<20> × 8172691019111011124393086241_<28> × 2750793293893633690646483974559334689_<37> × [2719401353..._<675>] × [1771298497..._<7365>] (1.64%)

10⁸¹⁷⁴+1 = 1000000000..._<8175> = 101 × 269 × 4021 × 16349 × 343309 × 1587221 × 260587121 × 1810622741_<10> × 81183810541_<11> × 94927228208573594069_<20> × 1014441626560371517458785583858927535968­49_<42> × 2302527353565357450759725122262880394277­261_<43> × 1607103056527759457698658255252179917706­5559188277159741_<56> × 7574338876826097411632784892018433752805­9461788181539337429709_<62> × [9938412545..._<7901>] (3.34%)

10⁸¹⁷⁵+1 = 1000000000..._<8176> = 7 × 11 × 13 × 211 × 241 × 251 × 1091 × 2161 × 5051 × 9091 × 4723689401_<10> × 2755580006681_<13> × 37896680612281_<14> × 78875943472201_<14> × 162542092844641_<15> × 1107565782360491_<16> × 3338786746233023_<16> × 4807765529966011_<16> × 48692440950655171_<17> × 574007732417758476986851_<24> × 36469932311100868909886131_<26> × 1359322464803502776636005411_<28> × 7884537470256430322347573586201_<31> × 4076646676354392328112307262086001_<34> × 14060959683864286267405933000927102019_<38> × 202945820410777383379163061571561268881_<39> × 1000009999999998999989999900000000010000­1_<41> × 1936438332114871929518057885332574185585­8987848620134943_<56> × 1098901098..._<217> × [3082352623..._<344>] × [8526264906..._<740>] × [5193019300..._<2117>] × [1742119389..._<4297>] (8.30%)

10⁸¹⁷⁶+1 = 1000000000..._<8177> = 353 × 449 × 641 × 673 × 1409 × 69857 × 133153 × 43735845217_<11> × 22478165344769_<14> × 11934567408722541302636897_<26> × 217860610452031121598489279950204653537_<39> × 1559440092962140541006269160037944071573­04353_<45> × [7510157488..._<1147>] × [3727627068..._<6874>] (1.90%)

10⁸¹⁷⁷+1 = 1000000000..._<8178> = 11 × 103 × 859 × 1259 × 4013 × 7253 × 1058313049_<10> × 21993833369_<11> × 78426117823_<11> × 3586448252081_<13> × 344954191876997_<15> × 422650073734453_<15> × 1690016281413487_<16> × 6917979239326637_<16> × 296557347313446299_<18> × 135854006382839702339_<21> × 70919383630417672662131_<23> × 2016492306990976282439501774196098215666­169_<43> × 3223223954501479327423165941405274903133­0269145707941726306320382914993613593752­90791990253041841_<97> × [8299292652..._<406>] × [1793204977..._<541>] × [9090909090..._<6912>] (3.90%)

10⁸¹⁷⁸+1 = 1000000000..._<8179> = 101 × 349 × 1129 × 9901 × 38861 × 45121 × 49069 × 618049 × 997369 × 97015118740321_<14> × 3792128943527581_<16> × 15565833747318241_<17> × 157002934023127338801841_<24> × 2246285860430986548506215527001_<31> × 4477350074169470752905544969081_<31> × 925473240150495502771483432977308389_<36> × 2144906157509411684424913774078958939881_<40> × 1181180637520183640867963573625866958318­7541_<44> × 1023037643093214557651333120422980213172­396059301_<49> × 4416594546258097201926470552762575286378­32621638030289_<54> × 2377887731204762925852743951147119066491­6585162920869352217582651463222567423724­41_<82> × [2058326030..._<2572>] × [1020562581..._<5139>] (5.73%)

10⁸¹⁷⁹+1 = 1000000000..._<8180> = 11 × 32717 × [2778649965..._<8174>] (0.07%)

10⁸¹⁸⁰+1 = 1000000000..._<8181> = 73 × 137 × 1676321 × 18598049 × 822449921 × 5964848081_<10> × 8890622777_<10> × 24801610931723485669544849_<26> × [2438243701..._<1590>] × [1216001089..._<6520>] (0.87%)

10⁸¹⁸¹+1 = 1000000000..._<8182> = 7 × 11 × 13 × 19 × 607 × 809 × 1213 × 1459 × 52579 × 65449 × 85447 × 133321 × 329059 × 389659 × 70541929 × 276992299 × 1327067281_<10> × 2458921051_<10> × 14175966169_<11> × 1612734672223_<13> × 456502382570032651_<18> × 1027035233977520686573_<22> × 610600386089858349939139_<24> × 1565407709424847683563503099411_<31> × 3041043667691453912297172888609639950518­597_<43> × 1150049039411782458546879600357516307683­6624586334794818271756072956027758946488­969_<83> × 2113873057909255954597860117046517523085­4959962552905615795598083821131115347286­7946847742896540536221553757692408959528­5508298878912860778863_<142> × [1171486417..._<596>] × [3856774669..._<1737>] × [5516063915..._<5387>] (5.65%)

10⁸¹⁸²+1 = 1000000000..._<8183> = 101 × 736381 × 294487476749_<12> × 72494882841718026134545350512221_<32> × [6297988577..._<8131>] (0.63%)

10⁸¹⁸³+1 = 1000000000..._<8184> = 11 × 197 × 2339 × 909091 × 63716179 × 116011189311149998139_<21> × 272828068791212993437_<21> × 5076141624365532994918781726395939035533_<40> × 3015252949189504320875202981299415587115­51656822567015411_<57> × 1495012804425531262945788741160430069296­6728690551568705030373_<62> × [4702864001..._<993>] × [1000000099..._<6973>] (2.67%)

10⁸¹⁸⁴+1 = 1000000000..._<8185> = 17 × 5882353 × 7573921 × 10100113 × 203814761569_<12> × 789592121167489_<15> × 9999999900000001_<16> × 20430277323413233_<17> × 1553500183191322115201_<22> × 75675153541982860202858401_<26> × 866353530992835497979626513_<27> × 11786300284844910479546815969_<29> × 1359528146312549413482250413457_<31> × 2212893713887918222645451169509853038253­459532292347577233_<58> × 9900879227786858424257223656804730798555­422102713108259184822982673560177_<73> × 1121164122863056567916507341571734921130­1068854209340842417386559363002502053200­017505737086336239008966529_<107> × 6606044344042608469102813673650531547087­6521691539886208593210572807339972705125­5954484746381837884289669103543541094033­006584881480446026721_<141> × [1320320095..._<474>] × [6437076872..._<2379>] × [1766452222..._<4743>] (7.21%)

10⁸¹⁸⁵+1 = 1000000000..._<8186> = 11 × 9091 × 2665037 × 585531983 × 4275155963843845114583010529681_<31> × [5825771542..._<1621>] × [2572979815..._<6514>] (0.62%)

10⁸¹⁸⁶+1 = 1000000000..._<8187> = 101 × 736741 × 1680444182201_<13> × 147099111955541_<15> × 109311299863326236609_<21> × [4973528213..._<8132>] (0.66%)

10⁸¹⁸⁷+1 = 1000000000..._<8188> = 7 × 11 × 13 × 103703 × [8766293251..._<2723>] × [1098901098..._<5457>] (0.10%)

10⁸¹⁸⁸+1 = 1000000000..._<8189> = 73 × 137 × 2393 × 158777 × 23406724457_<11> × 118638175449391414217_<21> × 616444976517723791883761_<24> × 205634535002357125750465106981645977_<36> × 4178437150016715837818641871709193476807­7726285039694944003301299623485206849143­75257_<85> × [2581359359..._<292>] × [6931200577..._<7710>] (2.28%)

10⁸¹⁸⁹+1 = 1000000000..._<8190> = 11 × 863 × 624089 × 5273717 × 909090909090909091_<18> × 7918920301131907813_<19> × 870280481234895760621743862550167_<33> × [2131493532..._<403>] × [2396716253..._<7701>] (1.05%)

10⁸¹⁹⁰+1 = 1000000000..._<8191> = 29 × 61 × 101 × 181 × 281 × 421 × 521 × 1009 × 2341 × 3121 × 3541 × 9901 × 16381 × 19501 × 25741 × 27961 × 65521 × 218401 × 226549 × 681409 × 2311921 × 3471301 × 4188901 × 12891061 × 13489841 × 16822261 × 39526741 × 121499449 × 1384194841_<10> × 13159402621_<11> × 37275014869_<11> × 42681134161_<11> × 43266855241_<11> × 60368344121_<11> × 158201922061_<12> × 173827038841_<12> × 257764562641_<12> × 424451728681_<12> × 428085457801_<12> × 654721485601_<12> × 999999000001_<12> × 6253963297921_<13> × 8886004303541_<13> × 16660482995521_<14> × 17668251488161_<14> × 53397071018461_<14> × 211127556865681_<15> × 1351855459456741_<16> × 4902137591818741_<16> × 6586114851320941_<16> × 11145604741558561_<17> × 19721126575796101_<17> × 29892611785152481_<17> × 131454539198398781_<18> × 201721695849323521_<18> × 527145878168855401_<18> × 1031498834064949381_<19> × 4458192223320340849_<19> × 9160020509281917601_<19> × 12763852652999774041_<20> × 643852143556794829021_<21> × 798407634963349034989_<21> × 848654483879497562821_<21> × 1900381976777332243781_<22> × 2090713534764319827181_<22> × 4999437541453012143121_<22> × 11761957262582764997761_<23> × 12119730504567977254081_<23> × 33822732328831925621101_<23> × 1105097795002994798105101_<25> × 1242247506458774245772941_<25> × 56541586842121464411050521_<26> × 139790941013628227711346421_<27> × 2685647186330706081032050321_<28> × 19825744781339712457003608841_<29> × 2737820036624672031089487008281_<31> × 6060517860310398033985611921721_<31> × 2243751933881016388445909960981341_<34> × 117609798518967483441609863271124249_<36> × 1005585052940350795358144502613051321_<37> × 282448028612066894256984424869264385801_<39> × 938366482703941691072746568832156530761_<39> × 1063795972097308740343464151173592140661_<40> × 1916169555595923846694360976185828515382­53404221_<48> × 2292099475416119162504685490734919773460­97487987121_<51> × 7223853560460940439011640209943027480858­51637026401_<51> × 5389978935326357919942790146424528038212­66462568112860601_<57> × 2290624689643723122789957563362013976604­4690040039603689929_<59> × 1152848670073501634460803378586012729005­71486836544519515961_<60> × 3571618567996393297210217238290456648947­344377957590363519828421_<64> × 4319164138206177545460534768046354494614­10533962843828981966782964481_<69> × 1416299915797380934633085871561011683465­0947071716927166725815643512203761_<74> × 7228985127862038010429519200208428060814­5936427715050154509673765832901166663194­5714409_<87> × 5441621976834505878069380025618213807813­8198676424989328564702046179663087831396­313663972761_<92> × 1750015347384383564365927035547065720509­0174411982714039596980290556087603273388­378126638862157661_<98> × 5079495579723432319621678978929964288239­8110895597927719020263478470520459745897­8968951056658336322222747642218486635877­7723140399455362404844998395782154536625­441423665548362311949806841_<187> × 6060417715895294965403423437916277918240­4932436722562911710488710546750366134190­8974638228005107189626160596624012465460­5663113875131500431100724633518957143031­8613812710829402180309391025505571625641_<200> × 4767139238..._<223> × 1585333300..._<230> × [4691913532..._<547>] × [7395685917..._<558>] × [1467545923..._<859>] × [9577166048..._<1657>] × [1381081172..._<1724>] (34.76%)

10⁸¹⁹¹+1 = 1000000000..._<8192> = 11 × 54822563679501786404323077139_<29> × [1658242242..._<8162>] (0.36%)

10⁸¹⁹²+1 = 1000000000..._<8193> = 3635898263938497962802538435084289_<34> × [2750351982..._<8159>] (0.41%)

10⁸¹⁹³+1 = 1000000000..._<8194> = 7 × 11 × 13 × 81931 × 6734647 × 7122449 × 19138849 × 110867677 × 1429957063_<10> × 1452963007_<10> × 19666457744357_<14> × [3812641874..._<2687>] × [7689940985..._<5438>] (0.84%)

10⁸¹⁹⁴+1 = 1000000000..._<8195> = 101 × 83869 × 426089 × 28559389 × 265555009 × 955190969 × 1491383821_<10> × 61896232441_<11> × 2324557465671829_<16> × 34208242748093017125479095441_<29> × 1239052552006641587808012658390968721_<37> × [7182215783..._<456>] × [5854776913..._<7601>] (1.68%)

10⁸¹⁹⁵+1 = 1000000000..._<8196> = 11² × 23 × 331 × 2087 × 4093 × 5171 × 8779 × 9091 × 20163494891_<11> × 1309592359230077126689_<22> × 9615683031450065714899_<22> × 318727841165674579776721_<24> × 110726795964772912224652481_<27> × 1654596091767978658661343653297922706352­07840943_<48> × 2737869430252705432917439814481839640694­075521336313521691938014929169431049_<76> × [9934261987..._<566>] × [8399560307..._<1459>] × [9091000000..._<5920>] (3.05%)

10⁸¹⁹⁶+1 = 1000000000..._<8197> = 73 × 137 × 49177 × 99990001 × 519134641 × 7200400035809_<13> × 9848042033737_<13> × [1388672858..._<2716>] × [3977878304..._<5430>] (0.63%)

10⁸¹⁹⁷+1 = 1000000000..._<8198> = 11 × 909091 × 161046583127_<12> × 34687804017371_<14> × 995028127494647_<15> × 1239947580152748784428929_<25> × 62619650659347901679260093_<26> × 49299730037908119786764739353618327_<35> × 1277793770824393367115298917352334092381­609_<43> × [7226818817..._<1058>] × [5089438102..._<6966>] (2.12%)

10⁸¹⁹⁸+1 = 1000000000..._<8199> = 101 × 245941 × 5904412320687449_<16> × 23990472375687241_<17> × [2842053274..._<8159>] (0.48%)

10⁸¹⁹⁹+1 = 1000000000..._<8200> = 7 × 11 × 13 × 19 × 1823 × 52579 × 11125487052309169_<17> × 203713141799318929_<18> × 29639985903998579356394771161_<29> × 12555609937128249776670687863910703_<35> × [3971758476..._<873>] × [5394355460..._<1803>] × [3035547629..._<5416>] (1.32%)

10⁸²⁰⁰+1 = 1000000000..._<8201> = 17 × 32801 × 5070721 × 5882353 × 6051298241_<10> × 24592788001_<11> × 242493614401_<12> × 48656086054529_<14> × 19721061166646717498359681_<26> × 669995415570582921859463287135169_<33> × 3475700719926956233659563848134955052440­801_<43> × 1879812448133240948450289423505051909583­4690259132073729_<56> × 3849768706134664981729511785296829962099­5218286740952471394479857_<65> × 1169903014767471390631838991078299955030­5441464043756973969673953263708106862724­1615756780789663364521811201_<108> × 7004760271724732648212097668225215140540­7090546684529615189261395153318760389164­5634196734073741683247230607581692473423­461149663662946076318737_<144> × [1000000009..._<1281>] × [1257223843..._<6385>] (6.54%)