10⁴⁰⁰¹+1 = 1000000000..._<4002> = 11 × 24007 × [3786774312..._<3996>] (0.14%)

10⁴⁰⁰²+1 = 1000000000..._<4003> = 101 × 349 × 829 × 1289 × 9901 × 38861 × 618049 × 997369 × 1507421 × 1569889 × 18371524594609_<14> × 32967030717721_<14> × 66896398043281_<14> × 73019536365089_<14> × 15565833747318241_<17> × 536430531035337769_<18> × 757108543129939106221_<21> × 157002934023127338801841_<24> × 4181003300071669867932658901_<28> × 4477350074169470752905544969081_<31> × 925473240150495502771483432977308389_<36> × 1910846617679140068129270917199256656502­9_<41> × 1181180637520183640867963573625866958318­7541_<44> × [1371655367..._<1199>] × [3003303538..._<2451>] (8.83%)

10⁴⁰⁰³+1 = 1000000000..._<4004> = 11 × 5762678771_<10> × [1577549166..._<3993>] (0.27%)

10⁴⁰⁰⁴+1 = 1000000000..._<4005> = 73 × 137 × 617 × 7841 × 574393 × 1580801 × 10727809 × 119424449 × 286569193 × 2506751895649_<13> × 29254656783353_<14> × 127522001020150503761_<21> × 503186110849316156410721_<24> × 53241089690155545084545617441_<29> × 753630841791572038865885886001_<30> × 16205834846012967584927082656402106953_<38> × 6325274402021507450906224122454439230492­01_<42> × 7800104107917195405651401965825520530623­84449_<45> × 1469228365475573809046248838110708015796­36649582426027039761_<60> × 4865192615416970430696981027004312809291­7988274505675071805716365801863993_<74> × 1236386443286416000845205982296310762602­9967969207066306934504253853534254947079­69_<82> × 4949895763359336782412876434938767797804­7796264380590133981510678696169143672945­2816424866873_<93> × 3117814097707474151636414249725282442495­4208724815035676374093147018212750972725­1868610676044366881633877582293186191387­9972129_<127> × 2208324408..._<419> × [1363484525..._<2855>] (28.72%)

10⁴⁰⁰⁵+1 = 1000000000..._<4006> = 7 × 11 × 13 × 19 × 179 × 211 × 241 × 2161 × 8011 × 9091 × 28837 × 29611 × 49663 × 52579 × 168211 × 261127 × 3154339 × 3762091 × 4600411 × 317384681 × 2325820447_<10> × 6760092011_<10> × 366468369571_<12> × 2290241528677_<13> × 8985695684401_<13> × 16115071712611_<14> × 118941438655807_<15> × 255690484327801_<15> × 12147237304901893_<17> × 269495141141814829479001_<24> × 332073601264920920030201_<24> × 1436873849910900920727661771706585602938­4012938971_<50> × 1054927415257693631440903203309586374903­030044747807503_<55> × 8085529463454134100970957657118926449470­3351351547829906051_<59> × 6308599667036354241463828431077328354879­98079409968772589281_<60> × 4180967272673252032291190917188955510245­874180001164839931077197586653_<70> × 2776479530942631295577918007584370623570­9171757029321957798614580159547773980221­2252078988231259971169_<102> × 4578874233436492255420074091728599390739­7013371281056728412584574199675937386727­3776063406076463623091465305278231306233­9754313662352611_<136> × 1371214206..._<481> × [4190562944..._<682>] × 1449774369..._<2075> (82.98%)

10⁴⁰⁰⁶+1 = 1000000000..._<4007> = 101 × 3885821 × 5284962170189393441_<19> × [4821186727..._<3979>] (0.68%)

10⁴⁰⁰⁷+1 = 1000000000..._<4008> = 11 × [9090909090..._<4006>] (0.03%)

10⁴⁰⁰⁸+1 = 1000000000..._<4009> = 17 × 8017 × 3591169 × 5882353 × 1947832425073_<13> × 1830514304695057_<16> × 9999999900000001_<16> × 5380921084071102626043163955108593_<34> × [1521216492..._<1307>] × [1190090276..._<2607>] (2.39%)

10⁴⁰⁰⁹+1 = 1000000000..._<4010> = 11 × 909090909090909091_<18> × 2764617069785703725933625413_<28> × 3288306793104537549151557682274952353292­6149751780658407359998309758510107771719­3987768606878995960468762394797684114544­7142199844840010655676265265016804404656­93288035792812855582407_<183> × [1099999999..._<3781>] (5.71%)

10⁴⁰¹⁰+1 = 1000000000..._<4011> = 101 × 3209 × 3541 × 27961 × 75389 × 10174308341_<11> × [4092615328..._<792>] × [3515138208..._<1590>] × [2824060999..._<1601>] (0.71%)

10⁴⁰¹¹+1 = 1000000000..._<4012> = 7² × 11 × 13 × 127 × 383 × 2293 × 2689 × 32089 × 104287 × 369013 × 459691 × 679961 × 909091 × 4041943 × 955059211 × 78087485383_<11> × 6227068146895429303_<19> × 27400114059743151607_<20> × 588168061299661178374249_<24> × 610639014108285241409303_<24> × 3370796736173938091727422330529475982098­304687381174810841794785884893349397_<76> × 3435500786829010526015101442384645669200­8580727031775135173625397961285416300659_<80> × [1749049828..._<358>] × [4881647625..._<1111>] × [7424548043..._<2228>] (7.86%)

10⁴⁰¹²+1 = 1000000000..._<4013> = 73 × 137 × 3313913 × 152533657 × 395026241 × 6218964172073_<13> × 3410758635375200561_<19> × 77354772713701196469683613841_<29> × 6555274617188258326423007086888436687780­3237222654400793_<56> × 3239493798040303234394148031888008631830­7142570248235727782772042697_<68> × 3683701505731300609663453679558774823033­6921494253255771361450341226561526611901­3587242450010428631327583370287498472127­46321_<125> × [3901352662..._<3677>] (8.36%)

10⁴⁰¹³+1 = 1000000000..._<4014> = 11 × 16156339 × 986506680491_<12> × 844963121863117_<15> × 11092134801718675055606994656545513411_<38> × [6085712525..._<3941>] (1.80%)

10⁴⁰¹⁴+1 = 1000000000..._<4015> = 101 × 9901 × 4388641 × 9574729 × 999999000001_<12> × 5721432945541_<13> × 45738054413461_<14> × 27740261651692489_<17> × 21324502683608069609_<20> × 202541585235806968718340098089_<30> × 1151849959315534266411044521456433499421_<40> × 6159486985016013075067913427429040588111­855293215481915322769_<61> × 4638735768..._<260> × [1054859087..._<882>] × [2186365408..._<2651>] (12.02%)

10⁴⁰¹⁵+1 = 1000000000..._<4016> = 11² × 23 × 293 × 331 × 1607 × 4093 × 5171 × 8779 × 9091 × 20163494891_<11> × 318727841165674579776721_<24> × 10826684964539959837294043117_<29> × 2865788889761949979999225923309086021030­11_<42> × 2095674198155750888930395023740170445651­8046571950461414323965365231223961865580­9712098924957353042723741728874079596356­118568603287093812371_<141> × 5248855003692933364739585667866481201678­3560226163896808143205880215983961493196­9984557055910618390350523030637683617149­6217871464621288358987576841_<148> × [6845052893..._<717>] × [9091000000..._<2880>] (10.42%)

10⁴⁰¹⁶+1 = 1000000000..._<4017> = 353 × 449 × 641 × 1409 × 24097 × 69857 × 433729 × 34554815338492246487263153419841_<32> × [2768917301..._<3959>] (1.43%)

10⁴⁰¹⁷+1 = 1000000000..._<4018> = 7 × 11 × 13² × 157 × 619 × 859 × 1237 × 6397 × 24103 × 216451 × 522211 × 3580487 × 34200739 × 44092859 × 102860539 × 984385009 × 1058313049_<10> × 388847808493_<12> × 612053256358933_<15> × 182725114866521155647161_<24> × 1471865453993855302660887614137521979_<37> × 1775284489..._<202> × [7136708810..._<1200>] × [9100000000..._<2448>] (9.19%)

10⁴⁰¹⁸+1 = 1000000000..._<4019> = 29 × 101 × 281 × 24109 × 68389 × 121499449 × 139723081 × 367470209 × 1447745997018511893740076606031686237538­345362413531560645573104006506749609_<76> × 9999999999999900000000000000999999999999­9900000000000000999999999999990000000000­0001_<84> × [1967121041..._<464>] × [4147828611..._<3356>] (4.95%)

10⁴⁰¹⁹+1 = 1000000000..._<4020> = 11 × [9090909090..._<4018>] (0.03%)

10⁴⁰²⁰+1 = 1000000000..._<4021> = 73 × 137 × 1676321 × 99990001 × 213875257 × 5964848081_<10> × 27316505681_<11> × 179093946929_<12> × 1086098236481_<13> × 5570533633681_<13> × 551715373109737_<15> × 1062496987134964686759841_<25> × 100009999999899989999000000010001_<33> × 27437339325626356979018615179776401_<35> × 1885596633278764718883633156859928453117­74522520360566601659121_<63> × 1083931224855529288843363709480842047163­1769022740820189046352816521272769520589­2706957878856003556674951264580888994601­3865548858442895580378678360552528197692­322041991044570589569_<181> × [7977009150..._<481>] × [3356080152..._<1010>] × [1794980653..._<2100>] (10.70%)

10⁴⁰²¹+1 = 1000000000..._<4022> = 11 × 88463 × 184967 × 711419447 × 19042068258132844499863_<23> × 218903428972603156296752043241_<30> × 3613740590384116835954173411741899601_<37> × [5184441879..._<3913>] (2.69%)

10⁴⁰²²+1 = 1000000000..._<4023> = 101 × 201101 × [4923391777..._<4015>] (0.18%)

10⁴⁰²³+1 = 1000000000..._<4024> = 7 × 11 × 13 × 19 × 2087 × 52579 × 70541929 × 2930436343_<10> × 14175966169_<11> × 452421222259_<12> × 2079121605721_<13> × 9725905402942447_<16> × 9615683031450065714899_<22> × 48190605294889499589640639353007_<32> × 65123750727058508179886800105813_<32> × 1654596091767978658661343653297922706352­07840943_<48> × 2737869430252705432917439814481839640694­075521336313521691938014929169431049_<76> × 3986607281..._<263> × 1537073629..._<857> × [2133573349..._<2617>] (34.97%)

10⁴⁰²⁴+1 = 1000000000..._<4025> = 17 × 5882353 × [9999999900..._<4016>] (0.20%)

10⁴⁰²⁵+1 = 1000000000..._<4026> = 11 × 47 × 139 × 251 × 691 × 967 × 2531 × 5051 × 9091 × 366851 × 594091 × 909091 × 1302491 × 1835401 × 2157401 × 2197651 × 4147571 × 459903401 × 1569936761_<10> × 3612546001_<10> × 46688538121_<11> × 299547376801_<12> × 3383037210281_<13> × 62170786600441_<14> × 78875943472201_<14> × 167811745562651_<15> × 549797184491917_<15> × 134946626777348891_<18> × 265212793249617641_<18> × 1203881882727712699967_<22> × 23391028206417273637358380573_<29> × 7775058388319250595762800404689_<31> × 3309383964775818489317002654646529291847_<40> × 3244083444544184147292930519599766806309­2782499890401_<53> × 1591879884384947756889998393793196655587­7132981347465830696251648192619376266439­940521_<86> × 9241137585308473837647875304009126599764­6354969374382095286967217633444509064918­2638712486115217201_<99> × [1827073412..._<374>] × 8865812680..._<462> × [6847826328..._<2607>] (25.96%)

10⁴⁰²⁶+1 = 1000000000..._<4027> = 89 × 101 × 9901 × 76129 × 85889 × 190321 × 390889 × 1587221 × 3534829 × 4801921 × 1052788969_<10> × 1056689261_<10> × 2834820061_<10> × 3812801341_<10> × 5419170769_<10> × 81183810541_<11> × 5538076536829_<13> × 10084101518041_<14> × 789390798020221_<15> × 2361000305507449_<16> × 19699111703264994820381_<23> × 2418666002101476599410229029_<28> × 1014441626560371517458785583858927535968­49_<42> × 7574338876826097411632784892018433752805­9461788181539337429709_<62> × 1305704182448226909845888790598975114740­359397093421223355030629345156521_<73> × 1087990925195463452802538049940594096989­1307269712082534286658985580897686985529­71751226781442226809_<100> × [1166129060..._<1183>] × [2567468091..._<2359>] (12.06%)

10⁴⁰²⁷+1 = 1000000000..._<4028> = 11 × 21057827321_<11> × 16872981766925707296667327_<26> × [2558597184..._<3991>] (0.91%)

10⁴⁰²⁸+1 = 1000000000..._<4029> = 73 × 137 × 457 × 18233 × 1403417 × 173993489 × 67406298457_<11> × 1488067111584049_<16> × 899319337247551841_<18> × 3911081495364545809_<19> × 5240808656722481737_<19> × 23641392997940421257_<20> × 2974783307863656284148053052903024835550­43017_<45> × 5446917923904711630084568262371769716257­7784999950014081337618457_<65> × 4721039325728010820594679541353546669967­335225378893722566311366791400472881_<76> × [1469648801..._<3718>] (7.72%)

10⁴⁰²⁹+1 = 1000000000..._<4030> = 7 × 11 × 13 × 103 × 1423 × 2687 × 4013 × 6637 × 8059 × 132247 × 660757 × 9615060929_<10> × 18694414957_<11> × 21993833369_<11> × 195547985051_<12> × 291078844423_<12> × 49331361513743_<14> × 251929300973667058933_<21> × 377526955309799110357_<21> × 2762442988033795145503_<22> × 6644317454149057909799751015802107695839­2938976011506949065646573_<65> × 1251990291329257796002278912741887225923­3625083098068343593414449482912759813271­7422361832740215079208573831826637913864­4493775947105115101637978649_<148> × [4243738078..._<1220>] × [1313513618..._<2435>] (9.31%)

10⁴⁰³⁰+1 = 1000000000..._<4031> = 101 × 521 × 3541 × 6449 × 27961 × 427181 × 2049349 × 2311921 × 195052001 × 949347101 × 10577123401729_<14> × 1031498834064949381_<19> × 12763852652999774041_<20> × 1900381976777332243781_<22> × 12119730504567977254081_<23> × 182435290172703727083336361_<27> × 1239858939218539856857839641_<28> × 2737820036624672031089487008281_<31> × 82592760966277013868739662817141_<32> × 9563613411880480653886428115541468801_<37> × 4831285495545122373055545883590398223973­07149685578249_<54> × 3576409999642362576445763742357211830764­2788176388541182361148385250885161475626­7658524373235935767676406423590000357641_<120> × 2824060999717591075967240892404687941259­5312053092346794690767297373623270262072­8607737927140638237785936175939000282406­1_<121> × [3466167114..._<698>] × 3728749773..._<1363> × [8025919910..._<1378>] (48.50%)

10⁴⁰³¹+1 = 1000000000..._<4032> = 11 × 59 × 557 × 2503 × 4982317 × 59298412477_<11> × 15224672957979493_<17> × 154083204930662557781201849_<27> × 3958015527680907296567567953663_<31> × 6520655709313341698465187621108953571040­3595333062378353092332941289776570384185­9492780362601926814638167836591846272150­911969126521_<132> × [6178638645..._<3800>] (5.74%)

10⁴⁰³²+1 = 1000000000..._<4033> = 1153 × 3457 × 12289 × 23041 × 473089 × 588673 × 983809 × 105528193 × 418725889 × 791159041 × 1265011073_<10> × 632968941697_<12> × 3007219953131521_<16> × 15343168188889137818369_<23> × 80819665754328935121409_<23> × 71496883142749489503687942051713_<32> × 275158773279860146670791344679553_<33> × 515217525265213267447869906815873_<33> × 338579887181973006729167651681190977281_<39> × 1660324999011469461300940104511992358095­7837937462177950368477911534904193_<74> × 4816826731..._<312> × 3764171210..._<377> × [1736715616..._<704>] × [1726692854..._<2293>] (25.71%)

10⁴⁰³³+1 = 1000000000..._<4034> = 11 × 7253 × 422650073734453_<15> × 3338786746233023_<16> × 296557347313446299_<18> × 709945811293900121590840009_<27> × 14060959683864286267405933000927102019_<38> × 1936438332114871929518057885332574185585­8987848620134943_<56> × [1549414029..._<3862>] (4.26%)

10⁴⁰³⁴+1 = 1000000000..._<4035> = 101 × 8069 × 243537843869770129776781_<24> × [5038397803..._<4005>] (0.73%)

10⁴⁰³⁵+1 = 1000000000..._<4036> = 7 × 11 × 13 × 211 × 241 × 2161 × 9091 × 269539 × 895771 × 2582401 × 127142398459291_<15> × 53154512397409181192081_<23> × 29789326200125445381652099_<26> × 21044037584000626448961059324881_<32> × 1306056668..._<257> × [3688908878..._<511>] × [7734437511..._<1004>] × [1015894799..._<2139>] (9.48%)

10⁴⁰³⁶+1 = 1000000000..._<4037> = 73 × 137 × 242161 × 829914254559409_<15> × [4975298560..._<4012>] (0.60%)

10⁴⁰³⁷+1 = 1000000000..._<4038> = 11² × 23 × 4093 × 8779 × 6337012003051224701798337646203298967_<37> × 1434573437..._<330> × [1099999999..._<3661>] (9.34%)

10⁴⁰³⁸+1 = 1000000000..._<4039> = 101 × 9901 × 185749 × 790835789839489_<15> × 1147159382893201_<16> × 213608404018568951197473659249281_<33> × [9900990099..._<1344>] × [2805860290..._<2621>] (1.82%)

10⁴⁰³⁹+1 = 1000000000..._<4040> = 11 × 36929 × 909091 × 36724333053682037_<17> × 4085803565117909125465863327515767_<34> × [6025072598..._<538>] × [2995288950..._<3440>] (1.53%)

10⁴⁰⁴⁰+1 = 1000000000..._<4041> = 17 × 32321 × 48481 × 5070721 × 5752961 × 5882353 × 63783521 × 241512820454226049_<18> × 1153293594368277071989921_<25> × 19721061166646717498359681_<26> × 5897861123026503881036334241_<28> × [7020455063..._<755>] × [1508008697..._<3153>] (3.29%)

10⁴⁰⁴¹+1 = 1000000000..._<4042> = 7 × 11 × 13 × 19 × 52579 × 114045103 × 2402657371_<10> × 10985587813_<11> × 481869541779887_<15> × 149875511372280830299739_<24> × 1979498820250457412915603811_<28> × 8696733443479669848434340373_<28> × 5788534334..._<373> × [1098901098..._<897>] × [4200581672..._<2643>] (12.43%)

10⁴⁰⁴²+1 = 1000000000..._<4043> = 101 × 45121 × 242521 × 338669 × 525461 × 8741281867261_<13> × 2790585923686397120521_<22> × 2144906157509411684424913774078958939881_<40> × 1023037643093214557651333120422980213172­396059301_<49> × 2923500556298303355222653948542706598448­925085853709961673200056984872843366529_<79> × [3249084540..._<3819>] (5.53%)

10⁴⁰⁴³+1 = 1000000000..._<4044> = 11 × 859 × 8087 × 82727 × 1625287 × 89609053 × 1058313049_<10> × 7703548373_<10> × 2122689869717_<13> × 7966595011106561_<16> × 3416317897947415066069561_<25> × 835375365056917236891484436143_<30> × 9722570040019830786629614035135659958431­34142539444914120798476327_<66> × 6233584499738299340076596109269276052417­987101388073691610569618213_<67> × 3757005930677198922936344579908581980435­2071605845144498519402657854750942650192­9457106333_<90> × [1212362455..._<3693>] (8.68%)

10⁴⁰⁴⁴+1 = 1000000000..._<4045> = 73 × 137 × 207593 × 22622137 × 99990001 × 6417136062678937_<16> × 28060177869481210079003327188873_<32> × 87621827832372981614062571297033_<32> × [1349479413..._<1253>] × [1000099999..._<2689>] (2.57%)

10⁴⁰⁴⁵+1 = 1000000000..._<4046> = 11 × 1619 × 9091 × 25889 × 35597 × 14305637609_<11> × 4916637124331_<13> × 389074661646211_<15> × [1094691193..._<772>] × [2237279205..._<3220>] (1.35%)

10⁴⁰⁴⁶+1 = 1000000000..._<4047> = 29 × 101 × 281 × 2381 × 28559389 × 121499449 × 1491383821_<10> × 7948763509_<10> × 275855329893529_<15> × 2324557465671829_<16> × 249594146127827929_<18> × 239872348404046672381_<21> × 20087794479102305428621_<23> × 2183679952332451283732916241_<28> × 2655317356577780943118905699484715479872­507421_<46> × 5582637833682557709253612812885341475900­082138954691763178176941_<64> × 1371225521970853347381362305318982198796­1076229175414555827926545777661379291311­684923609_<89> × [2880580367..._<434>] × [1258057305..._<3255>] (8.86%)

10⁴⁰⁴⁷+1 = 1000000000..._<4048> = 7 × 11 × 13 × 2699 × 56659 × 290249 × 1458973 × 2107849 × 17202612969211_<14> × 2522080008372409_<16> × 909090909090909091_<18> × 21977699107816352490639478201_<29> × 753201806271328462547977919407_<30> × 3132106946418106835541520932340538954170­6979493156189716729115659_<65> × 2372121273417053818094646796447673682891­7804359164858872931510547829240056443942­41806042716589462595192339_<106> × [4181445848..._<1239>] × [3608132957..._<2505>] (7.51%)

10⁴⁰⁴⁸+1 = 1000000000..._<4049> = 353 × 449 × 641 × 1409 × 11969 × 69857 × 153089 × 4913921 × 470909313601_<12> × 1704278609811914968161380775058049_<34> × 1078965221395139207527306436384019097245­13_<42> × 3610577595400972880729372479797253529720­5518185340826569980047852155932659115309­4457376181755912540092512773699689532234­798987224827675649_<138> × 6054085745..._<306> × [5867585230..._<3487>] (13.86%)

10⁴⁰⁴⁹+1 = 1000000000..._<4050> = 11 × 185460397 × 3919481511173_<13> × 7583584954715414619739841_<25> × [1649122637..._<4003>] (1.16%)

10⁴⁰⁵⁰+1 = 1000000000..._<4051> = 61 × 101 × 109 × 181 × 541 × 601 × 1621 × 1801 × 3541 × 8101 × 9901 × 19441 × 27541 × 27961 × 33301 × 56701 × 60101 × 68041 × 72901 × 119881 × 139501 × 153469 × 261301 × 329941 × 437401 × 560701 × 1903501 × 2925721 × 3903901 × 3933901 × 4188901 × 5030101 × 7019801 × 34146901 × 39526741 × 49229101 × 68189581 × 187053301 × 168290119201_<12> × 999999000001_<12> × 14103673319201_<14> × 396466222125601_<15> × 1680588011350901_<16> × 25074091038628125301_<20> × 29639179139212862101_<20> × 46451545582789362601_<20> × 4999437541453012143121_<22> × 13029637224192121671301_<23> × 1105097795002994798105101_<25> × 8359025705527014660939301_<25> × 67128593062302476037266041_<26> × 7997499229153265919258822361_<28> × 58492177198550575553528635501_<29> × 59779577156334533866654838281_<29> × 8751155967804851127450182913301_<31> × 38654658795718156456729958859629701_<35> × 152372720018473862927761564984708391701_<39> × 3050434210953002229033993044156127524940­1_<41> × 2928335293808624954996524027700428605519­61_<42> × 2187911623791867750065408022595894263802­921_<43> × 1418492295715348212561834378199028577989­33927761_<48> × 9029573059356805266678618488399930760718­96366838581_<51> × 1567695641195165979561949271339050664344­02684839835301_<54> × 2781227265549276084213926466827751101166­81922088002932901_<57> × 7980290067624957438631001354099654736828­5959759708473463717727701_<65> × 2162285428183283087834338095960846278903­92881018159564738348653328755727601_<75> × 7161880386560654241238389658735224299725­9054038820075447553395780556284501401142­201_<83> × 3417960906046748818496363802290102166269­4426433689336713924533473971031414136891­3850637159182300704681_<102> × 9911714928256372292905156623749793772005­6695397183763904238474736246500418974132­909060059378824349483926175101_<110> × 2971349350594348486916864881896870032830­4836263679312522214508265178739654065314­6423539079787300761023519093629701_<114> × 9999999000000049999998999999980000001999­9999500000000000000299999999999999500000­0199999997999999900000004999999900000001_<120> × 3680459508..._<312> × 1619554435..._<1046> × [2419222405..._<1071>] (73.57%)

10⁴⁰⁵¹+1 = 1000000000..._<4052> = 11 × 121531 × 49292569 × 759297743019692861027719699_<27> × [1998603673..._<4011>] (1.00%)

10⁴⁰⁵²+1 = 1000000000..._<4053> = 73 × 137 × [9999000099..._<4048>] (0.10%)

10⁴⁰⁵³+1 = 1000000000..._<4054> = 7² × 11 × 13 × 127 × 1931 × 2689 × 10037 × 459691 × 760807 × 909091 × 1430131 × 2285893 × 89052517 × 166376423 × 1971303592086415433699486018997726858813­1479788059136184198723981290523755287675­8580360078419442702688883521253076425640­4612155186751987040696800248062364073483­74092599681_<171> × [1621951668..._<371>] × [1099999890..._<1153>] × [3980939138..._<2298>] (5.75%)

10⁴⁰⁵⁴+1 = 1000000000..._<4055> = 101 × 5631092853280671492601_<22> × [1758271503..._<4031>] (0.59%)

10⁴⁰⁵⁵+1 = 1000000000..._<4056> = 11 × 9091 × 3409032013_<10> × [2666712737..._<801>] × [1099989000..._<3241>] (0.36%)

10⁴⁰⁵⁶+1 = 1000000000..._<4057> = 17 × 1249 × 49297 × 300977 × 648961 × 5882353 × 148068337 × 335131057 × 565674097 × 10662171313_<11> × 2325695579377_<13> × 325807801400017_<15> × 9999999900000001_<16> × 1055692801378229873_<19> × 249227787818677482257_<21> × 6193075131321119170897_<22> × 503339592150003436594038442561_<30> × 3336327664384090112747059870264076396700­42305536743429073_<57> × 1405148522012730653955873885730937250394­9399323665750407976449_<62> × 1383593264987051413465837895195158964937­3931206990077947806376316299006046330571­7055848920585883537_<99> × 3326864054..._<1192> × [2071696382..._<2454>] (39.51%)

10⁴⁰⁵⁷+1 = 1000000000..._<4058> = 11 × [9090909090..._<4056>] (0.03%)

10⁴⁰⁵⁸+1 = 1000000000..._<4059> = 101 × 68040718385429_<14> × [1455156608..._<4043>] (0.39%)

10⁴⁰⁵⁹+1 = 1000000000..._<4060> = 7 × 11² × 13 × 19 × 23 × 739 × 4093 × 5413 × 8779 × 52579 × 67651 × 148339 × 1426063 × 16419517 × 298693693 × 599144041 × 7093127053_<10> × 183411838171_<12> × 267003239205288169_<18> × 315073697412756811_<18> × 2670502781396266997_<19> × 3404193829806058997303_<22> × 6960601670540648499100047151502378472612­2029891_<47> × 1411225248778861822822335393177961449383­05111168717_<51> × 6105179603552296927117127487655417850454­4683763248923853725596423_<65> × 1000999998..._<241> × 5290781804..._<345> × [5530676839..._<768>] × [3741531387..._<2383>] (22.39%)

10⁴⁰⁶⁰+1 = 1000000000..._<4061> = 73 × 137 × 233 × 7841 × 355193 × 851761 × 1676321 × 17456377 × 49474001 × 5964848081_<10> × 21591416633_<11> × 127522001020150503761_<21> × 442538882251054324977361_<24> × 144919694966021542240510318821809_<33> × 17468739848498438039329935679794457_<35> × 3203269941631699433842950669924393166558­40979654890345228609_<60> × 1174155661036370531158387153086358732085­7611583542802499879661077461752756934163­45665039841_<91> × [4567882870..._<417>] × [3953319397..._<633>] × [9999000099..._<2688>] (7.95%)

10⁴⁰⁶¹+1 = 1000000000..._<4062> = 11 × 263 × 203051 × 4150343 × 143158373 × 1397382241_<10> × 5107438481_<10> × 306662501757259_<15> × 525786373041914526306757_<24> × 8002634608685273432504971_<25> × 909090909090909090909090909091_<30> × 112506283680098168752627601991569_<33> × 1363608083180796048411168783196497071688­492468691_<49> × [2230748842..._<3846>] (5.31%)

10⁴⁰⁶²+1 = 1000000000..._<4063> = 101 × 9901 × 11989453361_<11> × 105850491231217489_<18> × 36764627737869172094680667009_<29> × 1354592090378874321847140113114629_<34> × [1566562251..._<1264>] × [1009998990..._<2705>] (2.33%)

10⁴⁰⁶³+1 = 1000000000..._<4064> = 11 × 103 × 4013 × 16253 × 24379 × 3112259 × 10913219 × 547594889 × 21993833369_<11> × 34525066541041_<14> × 508399838327574001_<18> × 2373058463205177370688384659_<28> × 2846390188891241030645451773087716881978­563746547069042984813032147999326242449_<79> × 6282138071505210318841228543562283508437­5696198844381770006528017966159354889557­7774743119827923459254362276610101539366­5597896857185313159459_<142> × [1821848722..._<3737>] (8.04%)

10⁴⁰⁶⁴+1 = 1000000000..._<4065> = 19841 × 642113 × 976193 × 6187457 × 281440129 × 834427406578561_<15> × [5533533152..._<4018>] (1.14%)

10⁴⁰⁶⁵+1 = 1000000000..._<4066> = 7 × 11 × 13 × 211 × 241 × 2161 × 3253 × 9091 × 552841 × 4510549276171_<13> × 4260945193341481_<16> × 1358932280476739962681_<22> × 4002087504402581851825081_<25> × 13999867318772752070586571_<26> × 19633880890121399344333447_<26> × 13631530938380353975492092299_<29> × 399043838982071991709808323681_<30> × 2361737551129877719236265175893_<31> × 14346353391098975362754290118329_<32> × 21765743514521277143440823504372166157_<38> × 2560318146424145839200910866888342712051­76259587307504943_<57> × 8007273886099241636300663018048020523327­0947285561349320187586148230645206844076­9365930162334926086843860146404209029710­7692533312118648408855803784843307998746­8965872130196785578571_<182> × [1372794546..._<411>] × 5723385019..._<1052> × [2995137814..._<2060>] (39.25%)

10⁴⁰⁶⁶+1 = 1000000000..._<4067> = 101 × 142830449 × 40882343106721_<14> × 722817036322379041_<18> × 1369778187490592461_<19> × 2421825498886875706568085804897442030525­2561001802943053838404135749303145829915­5915519733583733897374728100788465877671­5423100656032123324942160620509168628560­523446063044557248001192491268292405581_<199> × [7071321325..._<3808>] (6.35%)

10⁴⁰⁶⁷+1 = 1000000000..._<4068> = 11 × 167 × 197 × 997 × 909091 × 3565183 × 2097307081_<10> × 60176593933_<11> × 4686412205793183223_<19> × 7742098247001476863_<19> × 8611567866083842493_<19> × 18471432177061658369_<20> × 22284639767043539427670611660521_<32> × 5076141624365532994918781726395939035533_<40> × 3392439970684601856648171834900099910757­9_<41> × 9431769031413300684826029009602942998788­41_<42> × [2417949630..._<410>] × [1341457011..._<3388>] (6.65%)

10⁴⁰⁶⁸+1 = 1000000000..._<4069> = 73 × 137 × 2713 × 3169 × 98641 × 170857 × 99990001 × 217294481 × 1763670553_<10> × 5691376081_<10> × 3199044596370769_<16> × 3004663012668187601_<19> × 23496896216135822356297_<23> × 958199619198582092108713_<24> × 83589345589492067422548510022510208449_<38> × [1145207867..._<390>] × [2609571800..._<822>] × [5852847703..._<2683>] (4.30%)

10⁴⁰⁶⁹+1 = 1000000000..._<4070> = 11 × 859 × 5009 × 34399327 × 1058313049_<10> × 1074844665139845442819616837_<28> × 3942061217624131929520541160207424212724­650028976527_<52> × 5898557425308733036489971006069064639342­7731561440540170425557369451688287845439­3085805024793769310885400567_<108> × 7261751812247044745451881276209273976406­1943025353225549543353013253141910591452­0675702969013863565170795844423203412555­03_<122> × [3197736978..._<3737>] (8.17%)

10⁴⁰⁷⁰+1 = 1000000000..._<4071> = 89 × 101 × 149 × 661 × 1481 × 3109 × 3541 × 15541 × 18041 × 24421 × 27961 × 32561 × 68821 × 111149 × 115589 × 148721 × 1052788969_<10> × 1056689261_<10> × 1121407321_<10> × 6336499381_<10> × 7716573481_<10> × 49058754361_<11> × 74615611921_<11> × 708840373781_<12> × 2786425101241_<13> × 4098464044501_<13> × 33965532782501_<14> × 26860773000292529_<17> × 107771345624719321_<18> × 669031686661427842829_<21> × 475941529644339249381661_<24> × 16206170837408945509907221_<26> × 1395900370916327245555441901_<28> × 40548140514062774758071840361_<29> × 36380545029953205956377406702261_<32> × 80622744652166457696395245164203461_<35> × 2718806758501803678726530231649429098807­99363524216099671322919521_<66> × 1106856391195125605067659687372491496603­851278760356356904482039681_<67> × 6260554616927865210886975275994609056323­42461236940562171461942282321_<69> × 1726229049..._<685> × [2145395820..._<1369>] × [7955362224..._<1412>] (31.69%)

10⁴⁰⁷¹+1 = 1000000000..._<4072> = 7 × 11 × 13 × 47 × 139 × 1889 × 2531 × 31051 × 7612771 × 5459968207_<10> × 60247408327_<11> × 143574021480139_<15> × 492087392670451_<15> × 549797184491917_<15> × 22312640768303969_<17> × 968385024074451409_<18> × 2676157881043509853_<19> × 1090805842068098677837_<22> × 256387471158747287936251_<24> × 24649445347649059192745899_<26> × 3203031926532314264104769060847481_<34> × 4411922770996074109644535362851087_<34> × 219734968010040680865912320713950289_<36> × [6475882285..._<1253>] × [1321028664..._<2505>] (7.71%)

10⁴⁰⁷²+1 = 1000000000..._<4073> = 17 × 5882353 × 236763662897_<12> × 5668041536949494763169457_<25> × [7451640959..._<4028>] (1.08%)

10⁴⁰⁷³+1 = 1000000000..._<4074> = 11 × [9090909090..._<4072>] (0.03%)

10⁴⁰⁷⁴+1 = 1000000000..._<4075> = 29 × 101 × 281 × 389 × 9901 × 226549 × 14980681 × 121499449 × 503750101 × 103828831429_<12> × 4458192223320340849_<19> × 5422939221250143727788109_<25> × 23888331928755038568489169001705089_<35> × 7841265533423516760616281051300442061096­6509546603404268745999503561001_<71> × 3245957760067555786094253757954702020796­0799876413377335594586605416959347268194­103170247296625068200526946320832808609_<119> × [6742009859..._<377>] × [1009999999..._<1153>] × [1461252900..._<2226>] (7.85%)

10⁴⁰⁷⁵+1 = 1000000000..._<4076> = 11 × 251 × 653 × 5051 × 9091 × 13693 × 30971 × 285251 × 2430331 × 3512651 × 3760411 × 685857336361_<12> × 78875943472201_<14> × 14286890032106357_<17> × 9903615620569964474761_<22> × 549692094842681735580674239279801_<33> × 6695347994383903097965599192075381609975­4871899_<47> × 1062881061565441896011124521244632741184­4160316876726377750029028546467748157093­4480831778653_<93> × [5721432892..._<597>] × [1815610448..._<3196>] (6.94%)

10⁴⁰⁷⁶+1 = 1000000000..._<4077> = 73 × 137 × 32609 × 1418449 × 56330321 × 700138744040321_<15> × 161152606309703520071089_<24> × 9356913858459299112409714396068556302256­81_<42> × [3635038912..._<3974>] (2.51%)

10⁴⁰⁷⁷+1 = 1000000000..._<4078> = 7 × 11 × 13 × 19 × 38053 × 52579 × 72481 × 133183 × 481087 × 2761489 × 70541929 × 181288487 × 293030299 × 5780201179_<10> × 14175966169_<11> × 123394808161_<12> × 153653579173_<12> × 28594087826041_<14> × 514317473256331_<15> × 6227951681897047_<16> × 531523386298753561_<18> × 12331942624071394811_<20> × 2646756758131654397378192081701748003041­997_<43> × 9998823061783773451618898466551985927663­47086896770989636138585751423_<69> × 2622958847..._<286> × [1010931938..._<851>] × [8354548275..._<2647>] (14.23%)

10⁴⁰⁷⁸+1 = 1000000000..._<4079> = 101 × 24469 × 25866600911881_<14> × [1564310796..._<4059>] (0.49%)

10⁴⁰⁷⁹+1 = 1000000000..._<4080> = 11 × 29319853 × 66727097725543_<14> × [4646685620..._<4057>] (0.55%)

10⁴⁰⁸⁰+1 = 1000000000..._<4081> = 97 × 353 × 449 × 641 × 1409 × 5441 × 69857 × 177601 × 206209 × 1634881 × 9449281 × 18453761 × 24561601 × 58627969 × 3156663361_<10> × 66554101249_<11> × 947147262401_<12> × 75118313082913_<14> × 94231159822538495255337526081_<29> × 39127329514182768921189838418689_<32> × 4444442797021732533861519689020084897_<37> × 8274466617334672110426476083265843201_<37> × 349954396040122577928041596214187605761_<39> × 1786971871341978412769793172635403245447­905376001_<49> × 3150916372611608799973465944081684225163­85623286349240690538356681453806401_<75> × 3283418360718165845669886219033294275390­4274373750127864196636481293558631166688­587638325415670849_<98> × 6278109986733892188252633198605132402894­3836164670064880403481030245743878416093­2972184864281054744807682885907521_<114> × 1821688856..._<435> × [7918917855..._<1006>] × [1061220090..._<2020>] (25.86%)

10⁴⁰⁸¹+1 = 1000000000..._<4082> = 11² × 23 × 463 × 743 × 4093 × 8779 × 24179 × 216877 × 590437 × 909091 × 1509971 × 7444361 × 1057997274797_<13> × 6385133303099_<13> × 2584863032795023_<16> × 4539402627853030477_<19> × 4924630160315726207887_<22> × 3096825432750653910867529_<25> × 29374061102839796677177079236872451361_<38> × 1570989606264398516186489295496926940315­60694047_<48> × 9090909090909090909090909090909090909090­909090909091_<52> × 2548171182130492354464113595833821781588­0641409868743480754592634023289710402152­43200625902015381883224397137647_<112> × 1352321123248730090708692723609127157649­5159337962861701177848071164846624221419­6619006751660947595648621283774989975906­1263_<124> × [8732297044..._<440>] × [6020585825..._<3114>] (12.92%)

10⁴⁰⁸²+1 = 1000000000..._<4083> = 101 × 521 × 1183781 × 21763689169_<11> × 1900381976777332243781_<22> × 28415783195151364586816438858689_<32> × 2664884554302831063314120789558894150113­73032402631355734921_<60> × 1307496683..._<222> × [3920283674..._<3728>] (8.68%)

10⁴⁰⁸³+1 = 1000000000..._<4084> = 7 × 11 × 13 × 8167 × 10889 × 538204729 × 3501412037_<10> × 8157101783_<10> × 22687849541449_<14> × 32794201885052294157546769_<26> × [2027837193..._<1299>] × [4843566583..._<2707>] (1.91%)

10⁴⁰⁸⁴+1 = 1000000000..._<4085> = 73 × 137 × 71699896529_<11> × 270933099089_<12> × 22282327001089_<14> × [2310018381..._<4045>] (0.97%)

10⁴⁰⁸⁵+1 = 1000000000..._<4086> = 11 × 1721 × 4903 × 8171 × 9091 × 196081 × 57009401 × 345228253 × 2182600451_<10> × 23360018579_<11> × 1812604116731_<13> × 121450506296081_<15> × 909090909090909091_<18> × 723429274163377334363411_<24> × 7306116556571817748755241_<25> × 251055550965070694188989073481_<30> × 18920435284033918144809657490533251_<35> × 4996731930447843676185843959746621491531­100801_<46> × 3378129921434409662267801407399018816966­5709715070094241770549427870082246252574­5206615317681106702473737182699794629638­49500442241_<131> × [2781962538..._<734>] × [3124172656..._<2962>] (9.55%)

10⁴⁰⁸⁶+1 = 1000000000..._<4087> = 101 × 5449 × 9901 × 46309 × 2043001 × 999999000001_<12> × 94576614536516509_<17> × 2667522520670022476468461_<25> × 3802416727162854360879394522289_<31> × 5622811333..._<417> × [1853549256..._<901>] × [1940170944..._<2665>] (12.76%)

10⁴⁰⁸⁷+1 = 1000000000..._<4088> = 11 × 81131 × 163481 × 4193263 × 117502704973_<12> × 1120522253011683685532152825789043757514­5023592596037161_<56> × 9090909090909090909090909090909090909090­90909090909090909090909091_<66> × [1365606052..._<3938>] (3.67%)

10⁴⁰⁸⁸+1 = 1000000000..._<4089> = 17 × 113 × 572321 × 5882353 × 6523957441_<10> × 19010286241_<11> × 106290678114209_<15> × 73765755896403138401_<20> × 119968369144846370226083377_<27> × 2931483180150892088295038024449_<31> × [5260310009..._<566>] × [8595410428..._<3396>] (3.09%)

10⁴⁰⁸⁹+1 = 1000000000..._<4090> = 7 × 11 × 13 × 59 × 6299 × 8179 × 344887 × 9127213 × 10101561011_<11> × 638453709757_<12> × 107065876692211_<15> × 135080726389891_<15> × 4855067598095567_<16> × 1585582793237209531_<19> × 1160803383934463712259_<22> × 154083204930662557781201849_<27> × 183524277349074336642460289_<27> × 297262705009139006771611927_<27> × 1274194732898148471766404179653_<31> × 3313107852051073288994404260571_<31> × 3007356627055904894814255974151270879659­0524703892560552659_<59> × [1129499838..._<1204>] × [1039178389..._<2559>] (8.02%)

10⁴⁰⁹⁰+1 = 1000000000..._<4091> = 101 × 3541 × 4909 × 16361 × 27961 × 417181 × 2396741 × 34876249 × 2091195610248881_<16> × 43398572923881255601_<20> × 4829616990104344590241_<22> × 2605270211162934136387269445121_<31> × 5604859773..._<727> × [8240847011..._<1612>] × [6769390263..._<1627>] (20.81%)

10⁴⁰⁹¹+1 = 1000000000..._<4092> = 11 × 28850879428309054815593321203131133_<35> × [3150998954..._<4056>] (0.87%)

10⁴⁰⁹²+1 = 1000000000..._<4093> = 73 × 137 × 617 × 1489 × 2377 × 16369 × 432961 × 700849 × 10958377 × 11110153 × 99990001 × 1030521097_<10> × 5419392721_<10> × 6796152793_<10> × 24387741577_<11> × 640543322297_<12> × 1220725699657_<13> × 27908132670449_<14> × 42367299139993_<14> × 126197002179733470481_<21> × 384705444182230291105649_<24> × 283830826522232279893972777_<27> × 16205834846012967584927082656402106953_<38> × 1658444016121584628216733048712806917077­6821649169_<50> × 2314061685320398390092255178516694666060­5063239337678349130406077337_<68> × 9764595466801884646728718086635575837426­3120864803042536883990817097_<68> × 1194053240550935343606131291791034479414­833114386116350011658511441777011841_<76> × [1000099999..._<1201>] × [8854284008..._<2384>] (12.42%)

10⁴⁰⁹³+1 = 1000000000..._<4094> = 11 × 1378683103680023_<16> × [6593907669..._<4077>] (0.40%)

10⁴⁰⁹⁴+1 = 1000000000..._<4095> = 101 × 1289 × 38449 × 138841 × 6345701 × 39444019649_<11> × 18371524594609_<14> × 51160869803648809849_<20> × 863869165686468332362369_<24> × 567614960888093601652355189_<27> × 4181003300071669867932658901_<28> × 1854709277039466195504689386640395344414­1877738854819606028843831344546174591125­3465484730154523123384560237055546861306­6960424330102181268271626236526315595661­8360389_<167> × [1608499299..._<3785>] (7.57%)

10⁴⁰⁹⁵+1 = 1000000000..._<4096> = 7² × 11 × 13² × 19 × 127 × 131 × 157 × 211 × 241 × 859 × 1171 × 2161 × 2521 × 2689 × 2731 × 6397 × 9091 × 15601 × 24571 × 29611 × 52579 × 102103 × 131041 × 196561 × 216451 × 280099 × 286651 × 459691 × 461917 × 909091 × 925081 × 3762091 × 4147571 × 5274739 × 5528251 × 21705503 × 60034573 × 1058313049_<10> × 6097697971_<10> × 29970369241_<11> × 388847808493_<12> × 525326613841_<12> × 2475034612051_<13> × 8985695684401_<13> × 75417940111411_<14> × 1081846114760321_<16> × 1661378260814161_<16> × 46205575684179731_<17> × 265212793249617641_<18> × 18276168846821336356291_<23> × 12784978043570445859284139_<26> × 189772422673235585874485732659_<30> × 14919407400114262321144007171761_<32> × 1275784731048123659634702312820051_<34> × 5953395590224596670581957589121611_<34> × 2081121974622478917536610465323067241_<37> × 46635050852360904199280507869249164331_<38> × 8396862596258693901610602298557167100076­327481_<46> × 5009499553764433156007921686514205741644­754894222691_<52> × 3609680015682889556828657822481825871981­7914995401933354161_<59> × 5067838741170388910175912578529043989438­9920385627096501794498837_<65> × 6305412991157180194163926340576846142599­9152026392552531582926655481271974023945­336611_<86> × 4512103729930413243964733865733316041820­9369019158095278577428897515955419107089­71709035851_<91> × 8912569571903773640423787742857701624820­8359196996259570335036011683389233510270­8227868827645523726121474392613340538475­7726021771250608797_<139> × 1466817919595327188231351160432180116180­2135429614673632851403034957825865582773­9679483747341180926907303679883240476304­5989876001215861751553184924252035281973­147552669068625063450431325422201_<193> × 1165532456757479900535506664713920369981­2826499674365840721389980776647009761562­0385381776017458111596045030580889722035­5795681244471616181793856777811728697616­12071347234707389515207957110906497851_<198> × [7609917926..._<366>] × [2004998801..._<523>] × [1776573840..._<1718>] (36.38%)

10⁴⁰⁹⁶+1 = 1000000000..._<4097> = 458924033 × 728157653661622273_<18> × 50628372428722965086209_<23> × [5910712201..._<4047>] (1.20%)

10⁴⁰⁹⁷+1 = 1000000000..._<4098> = 11 × 103 × 4013 × 11087 × 140263 × 21993833369_<11> × 30375132106961_<14> × 175043959170677_<15> × 166118970220264489_<18> × 4220353505909672483199706169_<28> × 2065548882433064749302848511798666276437_<40> × 1073432861671296843309316906103494760197­6065423298090207036703_<62> × 1587159415466708493113910200241893331490­8143281174256911370046090374195646715126­9742335031378183866433849119125209_<114> × [4902059204..._<3785>] (7.62%)

10⁴⁰⁹⁸+1 = 1000000000..._<4099> = 101 × 9901 × 710321 × 2950561 × 123533251069_<12> × 81760309771009_<14> × [1704831430..._<1345>] × [2770974127..._<2711>] (1.06%)

10⁴⁰⁹⁹+1 = 1000000000..._<4100> = 11 × 33481761758183_<14> × [2715182419..._<4085>] (0.36%)

10⁴¹⁰⁰+1 = 1000000000..._<4101> = 73 × 137 × 401 × 1201 × 1601 × 1676321 × 121553521 × 5964848081_<10> × 5073514674441841_<16> × 89886355570446566401_<20> × 1020783386354597532481_<22> × 36637591407529194237097_<23> × 166721483805082566538949201_<27> × 2953847006964409484772763294802452761688­1_<41> × 1296944190290577505513857711845642744990­75700947656757821537291527196801_<72> × 2245236606248397162554620353530247131809­5554391743324562620485785399554026316658­3148992537007203882503748922397253629192­9859656473_<130> × [6537518273..._<563>] × [6672900679..._<3154>] (9.35%)