10⁴⁵⁰¹+1 = 1000000000..._<4502> = 11 × 909091 × 19136334597001397_<17> × 303748618326650573_<18> × 376149678436378911877_<21> × 1773905868435604806439129685405998696327­7_<41> × [8816651555..._<568>] × [2924367487..._<3832>] (2.26%)

10⁴⁵⁰²+1 = 1000000000..._<4503> = 101 × [9900990099..._<4500>] (0.04%)

10⁴⁵⁰³+1 = 1000000000..._<4504> = 7 × 11 × 13 × 1423 × 6637 × 9007 × 18013 × 132247 × 1458973 × 48872561 × 610219543 × 9615060929_<10> × 688628849047_<12> × 248825904983015317_<18> × 909090909090909091_<18> × 16613365587974134609688767_<26> × 753201806271328462547977919407_<30> × 1657766035273726743927877478533_<31> × 6644317454149057909799751015802107695839­2938976011506949065646573_<65> × 1251990291329257796002278912741887225923­3625083098068343593414449482912759813271­7422361832740215079208573831826637913864­4493775947105115101637978649_<148> × [2188965792..._<1351>] × [2002700547..._<2753>] (8.89%)

10⁴⁵⁰⁴+1 = 1000000000..._<4505> = 17 × 5882353 × [9999999900..._<4496>] (0.18%)

10⁴⁵⁰⁵+1 = 1000000000..._<4506> = 11 × 103 × 4013 × 5407 × 9011 × 9091 × 46853 × 87211 × 538481 × 6496211 × 28478809 × 787223761 × 2040723131_<10> × 21993833369_<11> × 3961565781890816563346704051_<28> × 1602207948210144520667419183035809176643­86555934641_<51> × 9090909090909090909090909090909090909090­909090909091_<52> × 2526777489848353556260463473948408884731­6368931266148924916476686072210610478888­2370361457116007491616204974774005980913­5560066761697620048479221189904530026582­759451_<166> × [1524674330..._<817>] × [1553025352..._<3318>] (8.25%)

10⁴⁵⁰⁶+1 = 1000000000..._<4507> = 101 × 9901 × 1613149 × 313119416641_<12> × 7645879571110132917902245261_<28> × 15038232004133372033157105509_<29> × [6583879073..._<1472>] × [2615224666..._<2955>] (1.77%)

10⁴⁵⁰⁷+1 = 1000000000..._<4508> = 11 × 676051 × 273237646777544237_<18> × [4921384747..._<4483>] (0.54%)

10⁴⁵⁰⁸+1 = 1000000000..._<4509> = 73 × 137 × 2393 × 7841 × 227977 × 135326297 × 52781463673_<11> × 3765421073009_<13> × 10481421720254129_<17> × 127522001020150503761_<21> × 10899332765626348613852706136553_<32> × 11393116914681770882003704354321_<32> × 42256126489094363510123459600153_<32> × 5010620991340707523594168804430658367520­003649793780623118456073_<64> × 4178437150016715837818641871709193476807­7726285039694944003301299623485206849143­75257_<85> × 3781177083560380583441154025352663121070­1509683070486332093588590272731625338812­99502797579969_<94> × [6932887927..._<440>] × [2257824186..._<3649>] (9.31%)

10⁴⁵⁰⁹+1 = 1000000000..._<4510> = 7 × 11 × 13 × 19 × 52579 × 63127 × 787573 × 63716179 × 70541929 × 14175966169_<11> × 107154371983_<12> × 116011189311149998139_<21> × 272828068791212993437_<21> × 4551304599799744355996136613_<28> × 3373655510986818739235196204547769790250­8313099_<47> × 3991682749552894902673962957124418797917­278009299_<49> × 3015252949189504320875202981299415587115­51656822567015411_<57> × 1495012804425531262945788741160430069296­6728690551568705030373_<62> × 1673231604783581202191614925998671476588­0504506685421534879636783942469103682008­1117874949263758935227680048722737445473­4584105258179583258226198219279441096528­046762469147380935906915618783308520809_<199> × 1270993290..._<991> × [1584108227..._<2984>] (33.84%)

10⁴⁵¹⁰+1 = 1000000000..._<4511> = 89 × 101 × 661 × 821 × 3541 × 18041 × 27961 × 68389 × 148721 × 189421 × 369821 × 639601 × 59090021 × 165628849 × 1052788969_<10> × 1056689261_<10> × 1121407321_<10> × 11036695406441_<14> × 1073380218518144441_<19> × 9591184837241636861_<19> × 1266925593264677597290950641_<28> × 1350059351915828990550200161_<28> × 1395900370916327245555441901_<28> × 53962012769610863186035632361_<29> × 36380545029953205956377406702261_<32> × 496066227685392670146060647887021_<33> × 1390746719040117784739843667585275241217­92121_<45> × 3061973722987905774729667496411417875958­731844861_<49> × 1447745997018511893740076606031686237538­345362413531560645573104006506749609_<76> × 3772322547793638325666578485954787003249­3061983039590628163343261024239999542518­2118630038629742647815490833575187477845­254601_<126> × [6097971495..._<792>] × [1888313459..._<1528>] × [2915310265..._<1582>] (13.51%)

10⁴⁵¹¹+1 = 1000000000..._<4512> = 11 × 859 × 189463 × 368720813 × 805697219 × 1058313049_<10> × 2385633329_<10> × 89700105169_<11> × [3411495834..._<318>] × [2433686213..._<4138>] (1.24%)

10⁴⁵¹²+1 = 1000000000..._<4513> = 193 × 769 × 19841 × 976193 × 6187457 × 834427406578561_<15> × 1253224535459902849_<19> × 4379960442001143777409_<22> × 4682471332925593513849729_<25> × 5376349118996722135857554610727903470969­7_<41> × [2135624393..._<1448>] × [2283125642..._<2923>] (3.15%)

10⁴⁵¹³+1 = 1000000000..._<4514> = 11 × 45131 × 48705730678909081_<17> × [4135731114..._<4491>] (0.50%)

10⁴⁵¹⁴+1 = 1000000000..._<4515> = 101 × 149 × 3109 × 9029 × 111149 × 1587221 × 31742449 × 81183810541_<11> × 708840373781_<12> × 9146983292603669_<16> × 669031686661427842829_<21> × 40548140514062774758071840361_<29> × 1464758504041686136002192290225809_<34> × 1014441626560371517458785583858927535968­49_<42> × 7574338876826097411632784892018433752805­9461788181539337429709_<62> × [2630252102..._<4260>] (5.64%)

10⁴⁵¹⁵+1 = 1000000000..._<4516> = 7² × 11 × 13 × 127 × 211 × 241 × 1291 × 1721 × 2161 × 2689 × 3011 × 3613 × 9091 × 27091 × 129001 × 459691 × 909091 × 4147571 × 57009401 × 2182600451_<10> × 29970369241_<11> × 54156465241_<11> × 99014266051_<11> × 1448122377234121_<16> × 1661378260814161_<16> × 2282619848254651_<16> × 212057054080446499_<18> × 265212793249617641_<18> × 120525789336558438197_<21> × 18276168846821336356291_<23> × 131703989313193891811731_<24> × 7306116556571817748755241_<25> × 18920435284033918144809657490533251_<35> × 1458403742372587441269682405403605121_<37> × 43304701938592897922269981296083376277_<38> × 3047680368470744910648946080146958676329­97_<42> × 3605696680890791382725432167911038465896­663_<43> × 6798855735656881396055959081077830421892­567_<43> × 4691838919241768425249419297779898397115­7315180037905073531_<59> × 3378129921434409662267801407399018816966­5709715070094241770549427870082246252574­5206615317681106702473737182699794629638­49500442241_<131> × 1752088930844817629923654387608505754917­7040060630786419006322010941244780445558­8707117116636558355328705360270056801068­3873135238140340718711012045219107751867­190380847_<169> × [7153202059..._<220>] × [2101388648..._<467>] × [2070251822..._<969>] × [2828955707..._<1986>] (19.38%)

10⁴⁵¹⁶+1 = 1000000000..._<4517> = 73 × 137 × 91774153 × [1089522460..._<4505>] (0.26%)

10⁴⁵¹⁷+1 = 1000000000..._<4518> = 11 × 2112314427024188715300943526715275533_<37> × [4303766984..._<4480>] (0.83%)

10⁴⁵¹⁸+1 = 1000000000..._<4519> = 101 × 9901 × 27109 × 35141 × 162649 × 117412781 × 877561261 × 999999000001_<12> × 2497742116507789_<16> × 7787188843931699008561_<22> × 104384225205357273799356477841_<30> × 2158935103..._<452> × [3873811379..._<956>] × [3688815522..._<2996>] (12.55%)

10⁴⁵¹⁹+1 = 1000000000..._<4520> = 11 × 1844931789555532325419857430771_<31> × [4927504172..._<4488>] (0.69%)

10⁴⁵²⁰+1 = 1000000000..._<4521> = 17 × 90401 × 5070721 × 5882353 × 19721061166646717498359681_<26> × [9999999900..._<896>] × [1106182464..._<3580>] (0.99%)

10⁴⁵²¹+1 = 1000000000..._<4522> = 7 × 11² × 13 × 23 × 823 × 4093 × 8779 × 25423091 × 364393423 × 599144041 × 1049622487_<10> × 117651465889_<12> × 183411838171_<12> × 1825469894491_<13> × 441651480271681_<15> × 676321006412903_<15> × 11015241709984117_<17> × 533823991710350917_<18> × 36497963117203265504917_<23> × 218801242136856556680173235529_<30> × 86778193639335707300180875246597_<32> × 2486054981025256563094860861395446629778­93_<42> × 1352382306313219449249741838100919048668­09004766932500659_<57> × 3244569580634956101009646791013296826459­859399717968478099_<58> × 2038364498600905942232898988015372216877­4862359936646058908806309888853141771168­6527248294546247282437382306667288672207­557471524899_<132> × [4122220386..._<1344>] × [5215093272..._<2660>] (11.45%)

10⁴⁵²²+1 = 1000000000..._<4523> = 29 × 101 × 281 × 2129 × 2381 × 18089 × 19381 × 28559389 × 121499449 × 497573749 × 1270745309_<10> × 1491383821_<10> × 14691812549_<11> × 225391239809_<12> × 275855329893529_<15> × 687761449307269_<15> × 2324557465671829_<16> × 722817036322379041_<18> × 1369778187490592461_<19> × 1728095716605342484009_<22> × 20087794479102305428621_<23> × 3845225778323318739662926792353902964405­172909187389_<52> × 5582637833682557709253612812885341475900­082138954691763178176941_<64> × 1371225521970853347381362305318982198796­1076229175414555827926545777661379291311­684923609_<89> × 4859378131018035310593858490137688922829­4686867750687975773965201485452900557996­1674235437261629373578579882107331026589­6384033181_<130> × [5211289407..._<572>] × [5584357730..._<3408>] (12.00%)

10⁴⁵²³+1 = 1000000000..._<4524> = 11 × 150760637 × 8102833425229496322521731762234223_<34> × 29106719227380924261687718736389163183_<38> × [2556755409..._<4443>] (1.78%)

10⁴⁵²⁴+1 = 1000000000..._<4525> = 73 × 137 × 233 × 313 × 13921 × 355193 × 1101673 × 1580801 × 99990001 × 21591416633_<11> × 11090099157944399977_<20> × 1358074433371719716641_<22> × 291593563046646669491593_<24> × 17468739848498438039329935679794457_<35> × 246900403017958787131873605843061988161_<39> × 6325274402021507450906224122454439230492­01_<42> × 7323941687838105624847742701467683590147­273_<43> × 3203269941631699433842950669924393166558­40979654890345228609_<60> × 2623709608263520547879954791214412810391­7039851666735622202088676307751213851644­8290525904445527393923049141488305055748­3687370269811018178176841590586944036054­473_<163> × [1000099999..._<1345>] × [9999000100..._<2688>] (10.88%)

10⁴⁵²⁵+1 = 1000000000..._<4526> = 11 × 251 × 1811 × 5051 × 9091 × 13757 × 1457051 × 78875943472201_<14> × 1467439874822650361_<19> × 8009985902313706959635748251_<28> × 120856583251466840154268833761_<30> × 5781376922797866530410940379929163649687­6923883191635824278127299864929561_<74> × 7789184249331553934805110885787624954095­4771637632968716627112002173902204209005­4703_<84> × [5025734938..._<688>] × [8568362619..._<3566>] (6.00%)

10⁴⁵²⁶+1 = 1000000000..._<4527> = 101 × 36209 × 2049349 × 5911541 × 16692085818029_<14> × 5774294197526381_<16> × 182202742802607835615596881_<27> × 4831285495545122373055545883590398223973­07149685578249_<54> × 9537037576103752545861071409967321761728­9990894179079867527663488171910160934607­69_<82> × [2789361760..._<4316>] (4.65%)

10⁴⁵²⁷+1 = 1000000000..._<4528> = 7 × 11 × 13 × 19 × 3019 × 6037 × 15091 × 52579 × 108649 × 679051 × 3802681 × 73962127 × 1368847099_<10> × 1109899570440856808399184133_<28> × [9090909090..._<502>] × [3872712732..._<951>] × [3275737230..._<2993>] (1.81%)

10⁴⁵²⁸+1 = 1000000000..._<4529> = 353 × 449 × 641 × 1409 × 69857 × 2775983024448536727830198592061963297_<37> × [3602327504..._<4476>] (1.16%)

10⁴⁵²⁹+1 = 1000000000..._<4530> = 11 × 9059 × 42703 × 909091 × 220435489 × 2884939357_<10> × 2237015208235543_<16> × 4546533500196049_<16> × 6782474982183484892218726327_<28> × 772645975491897020913573785287_<30> × [9529492720..._<578>] × [8003044743..._<3829>] (2.70%)

10⁴⁵³⁰+1 = 1000000000..._<4531> = 61 × 101 × 3541 × 9901 × 15101 × 27961 × 51341 × 1630801 × 2307281 × 2455261 × 4188901 × 20481641 × 39526741 × 116848737701_<12> × 102457179041535481_<18> × 168782302910214142741_<21> × 1889814221792502144778850389566464768120­0752522084662517562824501754749571734130­4519447280552146559165713534073382085460­954497219653965265520569_<144> × 1693905023976482974406975673362358000111­8023970162008400581443223287867889068114­8892975960619401132072976759101591100462­84460131801859007072447569_<146> × [1179820484..._<542>] × 1456631290..._<594> × 1009998990..._<601> × 2399767124..._<1194> × [2529932837..._<1201>] (61.56%)

10⁴⁵³¹+1 = 1000000000..._<4532> = 11 × 47 × 139 × 2531 × 15761 × 7187743 × 1623221689_<10> × 2676724499_<10> × 2624649905303_<13> × 549797184491917_<15> × 300567477887394052365757_<24> × 2981135546329774264561581279152244652468­7_<41> × 8955859986822981751383809840603974861999­2979640045275602892542651788927814470345­4003289742054897931501863508835947629446­3_<121> × [9645834185..._<4281>] (5.52%)

10⁴⁵³²+1 = 1000000000..._<4533> = 73 × 137 × 617 × 90641 × 669913 × 1299623513_<10> × 136065804073_<12> × 38450569246994805922293218161_<29> × 16205834846012967584927082656402106953_<38> × 1147321101737455681617391114217663625751­0145503232608049_<56> × [3383377151..._<319>] × [6239534444..._<4055>] (3.50%)

10⁴⁵³³+1 = 1000000000..._<4534> = 7 × 11 × 13 × 3023 × 18133 × 148519213 × 12665654955065899_<17> × [3007247466..._<1507>] × [3221652206..._<2992>] (0.77%)

10⁴⁵³⁴+1 = 1000000000..._<4535> = 101 × 427377190561621_<15> × [2316686598..._<4518>] (0.37%)

10⁴⁵³⁵+1 = 1000000000..._<4536> = 11 × 9091 × 12005053 × 1374997489_<10> × 204775223264681_<15> × 278525877024136601_<18> × [5507332888..._<890>] × [1928614305..._<3593>] (1.17%)

10⁴⁵³⁶+1 = 1000000000..._<4537> = 17 × 113 × 337 × 433 × 1297 × 8929 × 77761 × 96769 × 5882353 × 30297889 × 2342167489_<10> × 32299703857_<11> × 9999999900000001_<16> × 73765755896403138401_<20> × 119968369144846370226083377_<27> × 2070270028985341766616009080161_<31> × 44694333255810928430549389078513_<32> × 124893274758049405740610511471437777_<36> × 4340113378518966373738115853410057617_<37> × 491413179769291800875985377355914924161_<39> × 1114737869182936469693737960974486017089_<40> × 1119946242580356142905139433307201254339­79169_<45> × 4232900250529425111937171375069484185923­9120433_<47> × 1110266584647997728109718848212718399455­29173378999198369_<57> × 1433319827159466789806966856379479179916­136529424792832495021393_<64> × 1182479250391477638386549290101910067046­0517256833712771719617457_<65> × 7586364693314701559182826840192398626198­6397730196168081539267851470929961346053­3606458533588747771269201779588838754037­5033677584427170052476698256022115031025­6906229475838502330430737_<185> × [1397229892..._<408>] × [7158346943..._<817>] × [1844844950..._<2521>] (17.45%)

10⁴⁵³⁷+1 = 1000000000..._<4538> = 11 × 859 × 3491 × 370754567 × 1058313049_<10> × 514420531171_<12> × 3361543170437980531667161105832265329_<37> × 3592771309162174976433856594717231908259­7_<41> × 2156200781..._<268> × [5767503705..._<4156>] (8.40%)

10⁴⁵³⁸+1 = 1000000000..._<4539> = 101 × [9900990099..._<4536>] (0.04%)

10⁴⁵³⁹+1 = 1000000000..._<4540> = 7 × 11 × 13 × 103 × 179 × 4013 × 6053 × 15131 × 3154339 × 21993833369_<11> × 291078844423_<12> × 118941438655807_<15> × 12147237304901893_<17> × 377526955309799110357_<21> × 9788270089405071134464024815801247_<34> × 1054927415257693631440903203309586374903­030044747807503_<55> × 4180967272673252032291190917188955510245­874180001164839931077197586653_<70> × 2776479530942631295577918007584370623570­9171757029321957798614580159547773980221­2252078988231259971169_<102> × [1227010941..._<1367>] × [9100000000..._<2816>] (7.86%)

10⁴⁵⁴⁰+1 = 1000000000..._<4541> = 73 × 137 × 285113 × 1676321 × 9419593 × 5964848081_<10> × 6949160081_<10> × 227165039897_<12> × 3807960958399006163762044938087483809_<37> × [4304011589..._<844>] × [1439166731..._<3607>] (1.99%)

10⁴⁵⁴¹+1 = 1000000000..._<4542> = 11 × 54493 × 163477 × 445019 × 5206247419_<10> × 508399838327574001_<18> × 909090909090909091_<18> × 2846390188891241030645451773087716881978­563746547069042984813032147999326242449_<79> × 6282138071505210318841228543562283508437­5696198844381770006528017966159354889557­7774743119827923459254362276610101539366­5597896857185313159459_<142> × [5329567305..._<4259>] (6.22%)

10⁴⁵⁴²+1 = 1000000000..._<4543> = 101 × 9901 × 18169 × 63589 × 44634324841_<11> × 17361690089093779841_<20> × 18490087711348412825943841_<26> × 350811664667433614608602654291207889_<36> × [1625595921..._<1458>] × [1059253671..._<2980>] (2.33%)

10⁴⁵⁴³+1 = 1000000000..._<4544> = 11² × 23 × 463 × 1889 × 4093 × 6491 × 8779 × 24179 × 72689 × 181721 × 590437 × 909091 × 3821903 × 7444361 × 40012410197_<11> × 1720230510152961731_<19> × 4539402627853030477_<19> × 12591442037518217413_<20> × 231795118814875986371_<21> × 1090805842068098677837_<22> × 4924630160315726207887_<22> × 3292248324836710454849946929_<28> × 4411922770996074109644535362851087_<34> × [2878147064..._<342>] × [4235321311..._<566>] × [4163653283..._<3385>] (5.53%)

10⁴⁵⁴⁴+1 = 1000000000..._<4545> = 70213889 × 74948737 × 1265011073_<10> × 2163180289_<10> × 12616665338340737_<17> × 8696388664866807041_<19> × 13210163171687860097_<20> × 15343168188889137818369_<23> × 908512746496843768998401_<24> × 515217525265213267447869906815873_<33> × [6671096214..._<4377>] (3.68%)

10⁴⁵⁴⁵+1 = 1000000000..._<4546> = 7 × 11 × 13 × 19 × 211 × 241 × 607 × 809 × 1213 × 2161 × 9091 × 29611 × 52579 × 85447 × 133321 × 329059 × 389659 × 3762091 × 178241771 × 1327067281_<10> × 8985695684401_<13> × 1011343309515211_<16> × 3310628946650281_<16> × 10013779702381498531_<20> × 5048693412613565015612161_<25> × 3041043667691453912297172888609639950518­597_<43> × 1150049039411782458546879600357516307683­6624586334794818271756072956027758946488­969_<83> × 2113873057909255954597860117046517523085­4959962552905615795598083821131115347286­7946847742896540536221553757692408959528­5508298878912860778863_<142> × 6093716070..._<358> × [1171486417..._<596>] × [2748749904..._<785>] × [1978731759..._<2376>] (17.39%)

10⁴⁵⁴⁶+1 = 1000000000..._<4547> = 101 × 63533558620602128209_<20> × [1558387459..._<4525>] (0.48%)

10⁴⁵⁴⁷+1 = 1000000000..._<4548> = 11 × [9090909090..._<4546>] (0.02%)

10⁴⁵⁴⁸+1 = 1000000000..._<4549> = 73 × 137 × 99990001 × 69052674736653045563715279577_<29> × 1529712162385306709282432672390233_<34> × [1448025024..._<1484>] × [6537831263..._<2991>] (1.63%)

10⁴⁵⁴⁹+1 = 1000000000..._<4550> = 11 × 127373 × 15711767320719421742099_<23> × 51257961049356357669228681899_<29> × [8862241312..._<4492>] (1.25%)

10⁴⁵⁵⁰+1 = 1000000000..._<4551> = 29 × 101 × 281 × 421 × 521 × 701 × 1301 × 3541 × 27961 × 60101 × 2311921 × 3471301 × 7019801 × 13489841 × 23923901 × 121499449 × 422100001 × 431684501 × 13159402621_<11> × 60368344121_<11> × 173827038841_<12> × 654721485601_<12> × 1125310645201_<13> × 5494317628801_<13> × 8886004303541_<13> × 14103673319201_<14> × 1680588011350901_<16> × 19721126575796101_<17> × 131454539198398781_<18> × 527145878168855401_<18> × 1031498834064949381_<19> × 12763852652999774041_<20> × 643852143556794829021_<21> × 848654483879497562821_<21> × 1900381976777332243781_<22> × 12119730504567977254081_<23> × 23098714167966114959599501_<26> × 2737820036624672031089487008281_<31> × 1916169555595923846694360976185828515382­53404221_<48> × 2135677566175112095067786054974896458380­25587933288349770601_<60> × 4729413357148090640380520548670420819661­897089600775548490401_<61> × 3571618567996393297210217238290456648947­344377957590363519828421_<64> × 4319164138206177545460534768046354494614­10533962843828981966782964481_<69> × 2973385658387841660090191886374395419376­5406914039889743839597679744394714079784­71880584291823101_<97> × 6060417715895294965403423437916277918240­4932436722562911710488710546750366134190­8974638228005107189626160596624012465460­5663113875131500431100724633518957143031­8613812710829402180309391025505571625641_<200> × 9928937563..._<206> × 4767139238..._<223> × 7763644894..._<237> × [7684174171..._<1420>] × 9900498006..._<1440> (68.79%)

10⁴⁵⁵¹+1 = 1000000000..._<4552> = 7 × 11 × 13 × 223 × 739 × 4663 × 7253 × 9103 × 148339 × 16419517 × 10360674514811_<14> × 353527567231247_<15> × 422650073734453_<15> × 1260860453384263_<16> × 296557347313446299_<18> × 2670502781396266997_<19> × 3404193829806058997303_<22> × 21606064498691505246200058094681_<32> × 48911689110891303706174193415115219_<35> × 6105179603552296927117127487655417850454­4683763248923853725596423_<65> × [3003180048..._<1413>] × [7928478013..._<2861>] (6.10%)

10⁴⁵⁵²+1 = 1000000000..._<4553> = 17 × 5882353 × 2492247313_<10> × 259353841601_<12> × 30150416906184006833_<20> × [5131246192..._<4504>] (1.06%)

10⁴⁵⁵³+1 = 1000000000..._<4554> = 11 × 59 × 4397 × 3641773 × 636763156903_<12> × 154083204930662557781201849_<27> × 2731332269604221112684885769_<28> × 5677249457541767920914361261393637170284­2084190817259161711159777577563483338093­8944473350289057242141068395451138705476­43014663862360146330362411_<146> × [6324704249..._<4329>] (4.92%)

10⁴⁵⁵⁴+1 = 1000000000..._<4555> = 89 × 101 × 829 × 1289 × 4969 × 9109 × 9901 × 111781 × 956341 × 1569889 × 55932229 × 1052788969_<10> × 1056689261_<10> × 5419170769_<10> × 79082656489_<11> × 999999000001_<12> × 3390135656029_<13> × 18371524594609_<14> × 22556963333521_<14> × 789390798020221_<15> × 2361000305507449_<16> × 536430531035337769_<18> × 3141992633898777649_<19> × 757108543129939106221_<21> × 1538607523068637497164701_<25> × 2434949513991434840486329_<25> × 4181003300071669867932658901_<28> × 12618302246788689711565695281_<29> × 18242965639824039641616130801_<29> × 37566733626647399506588763761_<29> × 1165799355669826921837120215236041_<34> × 69691163546816853278309618463969524441_<38> × 1910846617679140068129270917199256656502­9_<41> × 8218476795659338409712353841905411607826­2306591511439985225455868667042390990755­12109_<85> × 1800376962..._<256> × [1148531028..._<375>] × [1937567925..._<775>] × [2243678182..._<2570>] (18.36%)

10⁴⁵⁵⁵+1 = 1000000000..._<4556> = 11 × 1823 × 9091 × 962043331 × 5456108835721_<13> × 25586968497740825335357350721_<29> × 12555609937128249776670687863910703_<35> × [3971758476..._<873>] × [8190149883..._<3590>] (2.03%)

10⁴⁵⁵⁶+1 = 1000000000..._<4557> = 73 × 137 × 91121 × 765409 × 152533657 × 27316505681_<11> × 179093946929_<12> × 1311797955790780057_<19> × 7862434629073536572422898297_<28> × 6555274617188258326423007086888436687780­3237222654400793_<56> × 1885596633278764718883633156859928453117­74522520360566601659121_<63> × 1083931224855529288843363709480842047163­1769022740820189046352816521272769520589­2706957878856003556674951264580888994601­3865548858442895580378678360552528197692­322041991044570589569_<181> × [1390296367..._<4168>] (8.54%)

10⁴⁵⁵⁷+1 = 1000000000..._<4558> = 7³ × 11 × 13 × 127 × 197 × 373 × 1303 × 2689 × 44641 × 240437 × 459691 × 909091 × 1503811 × 10439437 × 1142669053_<10> × 3590254957_<10> × 313360308665807383_<18> × 579210707460230341693_<21> × 3130102386441822159047_<22> × 8547974217374353152743331757_<28> × 786201787103280005285496252487_<30> × 909090909090909090909090909091_<30> × 13738284126212945085230983501010742373_<38> × 5076141624365532994918781726395939035533_<40> × 1838190726228124463315819067778696666309­1011_<44> × 2554079529989619742150605944993170682132­4283570117_<50> × 1428571571428571428569999999857142857142­8585714285714285571428557142857142857285­7143_<84> × 2205922790442077083606417524376386662079­6477930349180699067305041042773585346008­4835527598810656311066636703627018076745­52261329_<128> × 2619301706..._<301> × [2325460707..._<1202>] × [9894855790..._<2456>] (19.74%)

10⁴⁵⁵⁸+1 = 1000000000..._<4559> = 101 × 1061 × 338669 × 5051749 × 24008868431410304616008561_<26> × 245391150214875249502685807421982149521_<39> × 7527704835280872962667987585290144803454­0173569840168229_<56> × 2923500556298303355222653948542706598448­925085853709961673200056984872843366529_<79> × [4206778852..._<4343>] (4.73%)

10⁴⁵⁵⁹+1 = 1000000000..._<4560> = 11 × 6299 × 4855067598095567_<16> × 4392391907429523859_<19> × 102527361354613106010527_<24> × 297262705009139006771611927_<27> × 323338434891034089173475790125293_<33> × 2742269936605462168329562307947106658888­1_<41> × [2504330267..._<4398>] (3.54%)

10⁴⁵⁶⁰+1 = 1000000000..._<4561> = 97 × 353 × 449 × 641 × 1409 × 69857 × 109441 × 177601 × 206209 × 1634881 × 3031489 × 18453761 × 1252017313_<10> × 66554101249_<11> × 256378211521_<12> × 947147262401_<12> × 1253408385601_<13> × 75118313082913_<14> × 147525690733521601_<18> × 524026007884633812193_<21> × 18327432034692069824540945222401_<32> × 349954396040122577928041596214187605761_<39> × 1786971871341978412769793172635403245447­905376001_<49> × 3150916372611608799973465944081684225163­85623286349240690538356681453806401_<75> × 5706094301657058649548236510474470535819­8487226448999934446131233808207036744145­484562761542433_<95> × 5781027809699670982923066276961517370230­7455969310955544852476931077952622715287­1284095883327059481084016222391212804300­2803675468602053212831240543425351530884­548678958775494494557904673_<187> × [8316396865..._<515>] × [3900487463..._<1141>] × [4941510183..._<2270>] (13.92%)

10⁴⁵⁶¹+1 = 1000000000..._<4562> = 11 × 13737733 × [6617473997..._<4553>] (0.18%)

10⁴⁵⁶²+1 = 1000000000..._<4563> = 101 × 38412041 × 239411002745931163792241_<24> × [1076631635..._<4530>] (0.72%)

10⁴⁵⁶³+1 = 1000000000..._<4564> = 7 × 11 × 13³ × 19 × 157 × 677 × 859 × 6397 × 9127 × 18253 × 52579 × 216451 × 461917 × 592489 × 2832103 × 60034573 × 70541929 × 987001237 × 1058313049_<10> × 14175966169_<11> × 15762546853_<11> × 388847808493_<12> × 30742515591607_<14> × 112389066692347771_<18> × 1592730232155679902273246343099578009020­762979379345291_<55> × 3609680015682889556828657822481825871981­7914995401933354161_<59> × 6862390300547244074038319769783944997739­006024946890580945655121_<64> × 9396181793001671106914228395252953637292­3039994594561690888076477964771217059054­7747265739_<90> × 8000274558764048855772521798953431026754­8611200476150362489556535106714036551037­0493445728939496142044078198975533517796­2505013085247_<133> × [4342163700..._<284>] × [3868680865..._<926>] × [5478551470..._<2804>] (12.05%)

10⁴⁵⁶⁴+1 = 1000000000..._<4565> = 73 × 137 × 2609 × 7841 × 1764313 × 4545499111409_<13> × 127522001020150503761_<21> × [4778870723..._<626>] × [1000099999..._<3889>] (1.10%)

10⁴⁵⁶⁵+1 = 1000000000..._<4566> = 11² × 23 × 167 × 331 × 997 × 4093 × 5171 × 8779 × 9091 × 116201 × 2090771 × 3565183 × 4939331 × 374425451 × 2097307081_<10> × 20163494891_<11> × 7742098247001476863_<19> × 318727841165674579776721_<24> × 1240665991756395996384539_<25> × 1668543697666959092921367368399753732796­41_<42> × 3392539888268932063533604336256571161282­81_<42> × 9431769031413300684826029009602942998788­41_<42> × [4466327524..._<232>] × [8585452883..._<783>] × [9091000000..._<3280>] (5.92%)

10⁴⁵⁶⁶+1 = 1000000000..._<4567> = 101 × 9901 × 426161 × 549305648070367709_<18> × 274951523481980578889_<21> × 1406013164129239600229795221_<28> × 281068563056996594358039301259861_<33> × [5472962280..._<1444>] × [7183424848..._<3013>] (2.40%)

10⁴⁵⁶⁷+1 = 1000000000..._<4568> = 11 × 82207 × 127877 × 25854551191035295754193658612317653_<35> × [3344791668..._<4522>] (1.00%)

10⁴⁵⁶⁸+1 = 1000000000..._<4569> = 17 × 9137 × 5882353 × [1094451121..._<4557>] (0.26%)

10⁴⁵⁶⁹+1 = 1000000000..._<4570> = 7 × 11 × 13 × 86271859 × 94754969 × 438852451 × 222387488327_<12> × [4314147317..._<1503>] × [2902491275..._<3028>] (0.85%)

10⁴⁵⁷⁰+1 = 1000000000..._<4571> = 101 × 3541 × 27961 × 566681 × 312344481476645489_<18> × 2530599474153455534988281_<25> × [3169894359..._<895>] × [1413265922..._<1800>] × [4983511004..._<1819>] (1.26%)

10⁴⁵⁷¹+1 = 1000000000..._<4572> = 11 × 909091 × 1543168583919293927_<19> × 177747835323172272254489_<24> × [5891066721..._<634>] × [6188541694..._<3889>] (1.06%)

10⁴⁵⁷²+1 = 1000000000..._<4573> = 73 × 137 × 3169 × 18289 × 98641 × 384049 × 3921761 × 99990001 × 3988541681_<10> × 485166823417_<12> × 3199044596370769_<16> × 764515044486144085977569_<24> × 2575212027850692464577982171078840918884­244921649_<49> × [3246850456..._<416>] × [2061352820..._<997>] × [1423716117..._<3015>] (3.19%)

10⁴⁵⁷³+1 = 1000000000..._<4574> = 11 × 103 × 4013 × 182921 × 269539 × 2582401 × 21993833369_<11> × 14164867390249_<14> × 4116873873442049_<16> × 2034349877452566049_<19> × 1306056668..._<257> × [5069012896..._<4236>] (7.38%)

10⁴⁵⁷⁴+1 = 1000000000..._<4575> = 101 × 274441 × [3607693492..._<4567>] (0.16%)

10⁴⁵⁷⁵+1 = 1000000000..._<4576> = 7 × 11 × 13 × 211 × 241 × 251 × 367 × 2161 × 5051 × 9091 × 81131 × 51745081 × 40498340376691_<14> × 78875943472201_<14> × 4921877497889851_<16> × 645135637918058843851_<21> × 7806698104644023762974117201_<28> × 14766610244667068539180910401_<29> × 135244642306250908451982517051_<30> × 2447385101917578576518614756091_<31> × 1000009999999998999989999900000000010000­1_<41> × 4293674404051268505730897152041702807799­0465463_<47> × 3327799391606549896523481221243658725565­6671587921_<50> × 1120522253011683685532152825789043757514­5023592596037161_<56> × 4551373052947459836233390767931548638932­52334886652646220893202880060879281_<75> × 9875147617503773140446862481157739278742­7775791613526338795019184644066477591526­1101432242060019802343954353410785845186­369572771804641_<135> × [9100090999..._<480>] × [2602592403..._<1157>] × [7761465689..._<2322>] (13.48%)

10⁴⁵⁷⁶+1 = 1000000000..._<4577> = 3329 × 19841 × 27457 × 976193 × 6187457 × 6314881 × 9013889 × 23447080358593_<14> × 834427406578561_<15> × 26670033927811409112897180097_<29> × 17678143277867879639053562401217_<32> × 222688353792418778799593928777532880641_<39> × 3162086824598326714007856976523611232833_<40> × 1964921068627143245631030869023344815967­41493532094589569_<57> × 1155769568319416848232879884038923230156­6128542366996816904708940827856565218146­3740087715495531620984715848743338424468­8679028278097388037431233_<145> × [2985191378..._<336>] × [3642058491..._<3836>] (8.85%)

10⁴⁵⁷⁷+1 = 1000000000..._<4578> = 11 × 47 × 139 × 2531 × 1080173 × 3545105703277_<13> × 10765760180213_<14> × 12277415800813_<14> × 549797184491917_<15> × 19295888742826183009926986787209_<32> × 180724074168604579796294647309331_<33> × 3142931404276264910560088757241510584870­07_<42> × 3415667199916755828031645754802139743988­8515117317065783422183070342102287109965­498971_<86> × [5277577035..._<4319>] (5.64%)

10⁴⁵⁷⁸+1 = 1000000000..._<4579> = 29 × 101 × 281 × 9901 × 20929 × 143881 × 226549 × 259421 × 991901 × 121499449 × 309825961 × 7159836349_<10> × 115270627429_<12> × 547865558923909_<15> × 2079614626344109_<16> × 4458192223320340849_<19> × 31439160336733424929_<20> × 49369369412784246809_<20> × 1824311070687724362241_<22> × 26574836366263859584549_<23> × 35701893527078181712481_<23> × 633447884887973638076376581_<27> × 74574292014555719066498713223189_<32> × 1865425332089086502965356287153468600956­1097057044089856872575427173603219393390­0171521062975638672064604619723224194512­8480195522683026871896337407221841261247­90381_<165> × [6178299246..._<356>] × [5580356288..._<1201>] × [5427254243..._<2571>] (9.85%)

10⁴⁵⁷⁹+1 = 1000000000..._<4580> = 11 × 11087 × 140263 × 515796877 × 1186840169_<10> × 88093265503_<11> × 133258802563717_<15> × 166118970220264489_<18> × 909090909090909091_<18> × 2065548882433064749302848511798666276437_<40> × 1073432861671296843309316906103494760197­6065423298090207036703_<62> × 1587159415466708493113910200241893331490­8143281174256911370046090374195646715126­9742335031378183866433849119125209_<114> × [1530675477..._<4278>] (6.59%)

10⁴⁵⁸⁰+1 = 1000000000..._<4581> = 73 × 137 × 1676321 × 6540241 × 5964848081_<10> × 59785142191681_<14> × 60536258454401_<14> × 517731575900531219753_<21> × 2065438668948717815239195921_<28> × 5162633898881456926278914942913119105441­2260377_<47> × [3740938693..._<845>] × [2045636811..._<3587>] (3.26%)

10⁴⁵⁸¹+1 = 1000000000..._<4582> = 7 × 11 × 13 × 19 × 1019 × 7127 × 21379 × 52579 × 54973 × 93314971 × 14296412287_<11> × 1881956928169_<13> × 9334165317629899_<16> × [1251775283..._<502>] × [5506754710..._<996>] × [7252647498..._<3013>] (1.56%)

10⁴⁵⁸²+1 = 1000000000..._<4583> = 101 × 349 × 5689 × 38861 × 618049 × 507998564486483655774880939989709_<33> × 1181180637520183640867963573625866958318­7541_<44> × 6463019629164534923253835672539917600836­17720844121_<51> × 5300840448377912032674189587344789058928­62260111193658629289735929681_<69> × [1009999999..._<4369>] (4.67%)

10⁴⁵⁸³+1 = 1000000000..._<4584> = 11 × 3546527999823566531_<19> × 122926889272130887418906413_<27> × [2085244719..._<4538>] (1.00%)

10⁴⁵⁸⁴+1 = 1000000000..._<4585> = 17 × 3324929 × 5882353 × 8587361 × 8968198897249_<13> × 9999999900000001_<16> × [3502336735..._<1507>] × [1115051106..._<3028>] (1.10%)

10⁴⁵⁸⁵+1 = 1000000000..._<4586> = 11 × 263 × 3931 × 9091 × 144887 × 192571 × 293441 × 909091 × 4147571 × 4887611 × 288840329 × 1397382241_<10> × 905381982041_<12> × 15727277053931_<14> × 306662501757259_<15> × 1166895406706881_<16> × 8991500936656201_<16> × 265212793249617641_<18> × 525786373041914526306757_<24> × 112506283680098168752627601991569_<33> × 223908687382121511269398989390133_<33> × 1363608083180796048411168783196497071688­492468691_<49> × [1872991426..._<461>] × 1173909038..._<735> × [3291572217..._<3103>] (22.29%)

10⁴⁵⁸⁶+1 = 1000000000..._<4587> = 101 × 7521004825381_<13> × [1316445119..._<4572>] (0.32%)

10⁴⁵⁸⁷+1 = 1000000000..._<4588> = 7 × 11² × 13 × 23 × 557 × 2503 × 4093 × 8779 × 470933 × 1773641 × 12797731 × 599144041 × 183411838171_<12> × 954437698409383_<15> × 144611405432576703840517_<24> × 1036412737512256032518509357_<28> × 14572843015599488197037677669601442481_<38> × 8419113429584745908849632390995169042529­6390505413654926185730285872463_<71> × 6520655709313341698465187621108953571040­3595333062378353092332941289776570384185­9492780362601926814638167836591846272150­911969126521_<132> × 6752774406016845244274826163667530593282­3309390648327259608620272905373094176870­0572367639100644988622177902681645261849­12017881807211_<134> × [9106789426..._<1345>] × [9534409647..._<2745>] (10.84%)

10⁴⁵⁸⁸+1 = 1000000000..._<4589> = 73 × 137 × 1489 × 61544617 × 640543322297_<12> × 2973692820289_<13> × 27908132670449_<14> × 16444765848115921_<17> × 27656958830409366529_<20> × 384705444182230291105649_<24> × 9294219373611032701407977803759921_<34> × 9764595466801884646728718086635575837426­3120864803042536883990817097_<68> × 9879587347765036607308472984299267446449­2842748785038003856042863807090965021048­0224210297181360032908354907525523774393_<120> × [1308368202..._<4255>] (7.28%)

10⁴⁵⁸⁹+1 = 1000000000..._<4590> = 11 × 859 × 544815259 × 1006029527_<10> × 1058313049_<10> × 78325226383_<11> × 63859295918564693_<17> × 5654000177636083959487421885693964261705­0503_<44> × [1598235487..._<300>] × [4036617863..._<4188>] (2.23%)

10⁴⁵⁹⁰+1 = 1000000000..._<4591> = 61 × 101 × 109 × 181 × 409 × 541 × 1021 × 3061 × 3541 × 6121 × 8161 × 9181 × 9901 × 26861 × 27961 × 54469 × 153469 × 302941 × 329941 × 569161 × 855781 × 1266841 × 2586721 × 4188901 × 5969449 × 28559389 × 39526741 × 49229101 × 68189581 × 134703241 × 158963941 × 1491383821_<10> × 999999000001_<12> × 2709009355501_<13> × 3626707988341_<13> × 5071197096181_<13> × 7568346838961_<13> × 49281384122461_<14> × 225974065503889_<15> × 2324557465671829_<16> × 37932032823724801_<17> × 239693526486549721_<18> × 317114436682878841_<18> × 695770173564071941_<18> × 157538980319816607121_<21> × 237612993541791006121_<21> × 4999437541453012143121_<22> × 13029637224192121671301_<23> × 1105097795002994798105101_<25> × 751762284003937848349377181_<27> × 846160494149365798478410729_<27> × 44398000479007997569751764249_<29> × 59779577156334533866654838281_<29> × 112544281755782732673671367061_<30> × 1988731184935761442996825520561_<31> × 6778271250833427230755514692133576484914­41_<42> × 1147976358984279587940335423151806637475­42680841_<48> × 1418492295715348212561834378199028577989­33927761_<48> × 9029573059356805266678618488399930760718­96366838581_<51> × 1051361091529803074497312148085134194834­726090632313891925201_<61> × 3486475319440674008607957277969304463510­523376893744438151274361_<64> × 3901653858374518059866330406674956405263­36339013830593297226360344237401_<72> × 7835471012062949133711019848386101454346­01594940320359051755346054094539252541_<78> × 4388767674..._<329> × 3973385473..._<352> × 1000000000..._<577> × [7962319780..._<1111>] × [7894439831..._<1146>] (50.83%)

10⁴⁵⁹¹+1 = 1000000000..._<4592> = 11 × 348917 × 404009 × 79268207 × 32413072299387000706646663_<26> × [2510006883..._<4546>] (0.99%)

10⁴⁵⁹²+1 = 1000000000..._<4593> = 353 × 449 × 641 × 673 × 1409 × 69857 × 202049 × 936769 × 480865057 × 43735845217_<11> × 100903134230125793_<18> × 443528506325304401971649_<24> × 1949975276463991211904463972906337_<34> × 217860610452031121598489279950204653537_<39> × 1559440092962140541006269160037944071573­04353_<45> × [5082369529..._<590>] × [2477228266..._<3797>] (4.48%)

10⁴⁵⁹³+1 = 1000000000..._<4594> = 7 × 11 × 13 × 119419 × 784511976373_<12> × [9090909090..._<1530>] × [1172966475..._<3044>] (0.43%)

10⁴⁵⁹⁴+1 = 1000000000..._<4595> = 101 × 2664521 × 56689961 × 110609538675626862190901_<24> × [5925987616..._<4555>] (0.85%)

10⁴⁵⁹⁵+1 = 1000000000..._<4596> = 11 × 3677 × 9091 × 20219 × 19548848531_<11> × [1222796009..._<911>] × [5626873615..._<3662>] (0.50%)

10⁴⁵⁹⁶+1 = 1000000000..._<4597> = 73 × 137 × 99990001 × 96190980073_<11> × 233350235353_<12> × 61354806833833_<14> × 338261246934335623292406033601_<30> × 4817877286..._<1485> × [4455545000..._<3034>] (33.99%)

10⁴⁵⁹⁷+1 = 1000000000..._<4598> = 11 × 41538493 × 1071698611_<10> × [2042132469..._<4580>] (0.38%)

10⁴⁵⁹⁸+1 = 1000000000..._<4599> = 89 × 101 × 41801 × 56629 × 170369 × 29606281 × 1052788969_<10> × 1056689261_<10> × 669322047408829_<15> × 722817036322379041_<18> × 1369778187490592461_<19> × 3041192204266706929561_<22> × 41317448166585793386581_<23> × 1491164086760128255001869_<25> × 2093630887738168146679697488136133045598­06235889961_<51> × 1121401477221110433681152383767817503966­1021219748532792755132723848484657089955­8676962628229357741668578262708884771183­293753569_<129> × 7944943878..._<334> × [3616024615..._<3923>] (14.69%)

10⁴⁵⁹⁹+1 = 1000000000..._<4600> = 7² × 11 × 13 × 19 × 127 × 293 × 877 × 2689 × 18397 × 52561 × 52579 × 459691 × 909091 × 1415179 × 3601237 × 5274739 × 33237742567_<11> × 247482272761_<12> × 14874074740939_<14> × 549441513023131_<15> × 4231011039172548998893_<22> × 10826684964539959837294043117_<29> × 189772422673235585874485732659_<30> × 5830219322612939561246246317093_<31> × 2865788889761949979999225923309086021030­11_<42> × 3943828696311504418317587369596960932033­847171_<46> × 6114490574525744118339152320279030460928­4611733_<47> × [1345733557..._<422>] × [1099999890..._<433>] × [7917978690..._<804>] × [5430238625..._<2588>] (7.70%)

10⁴⁶⁰⁰+1 = 1000000000..._<4601> = 17 × 5070721 × 5882353 × 24592788001_<11> × 1608357139893807878893601_<25> × 19721061166646717498359681_<26> × 88424835854419406860480471361_<29> × 326866013321545141677800244941441_<33> × 3475700719926956233659563848134955052440­801_<43> × 1205530548914055885457278225432810661628­03459003848166118314367809_<66> × 1169903014767471390631838991078299955030­5441464043756973969673953263708106862724­1615756780789663364521811201_<108> × 8295102856587101112151219663083514451877­4133555852877567503980614227065994320281­8322753067885238020768017585089_<111> × [2151163818..._<619>] × [1000000000..._<3521>] (10.04%)