10⁴⁴⁰¹+1 = 1000000000..._<4402> = 7 × 11 × 13 × 19 × 653 × 13693 × 52579 × 52813 × 59659 × 228853 × 233743 × 2341333 × 70541929 × 199552099 × 14175966169_<11> × 14286890032106357_<17> × 28925281846910321281_<20> × 4857284845525633573357_<22> × 6695347994383903097965599192075381609975­4871899_<47> × 1062881061565441896011124521244632741184­4160316876726377750029028546467748157093­4480831778653_<93> × [3949005368..._<306>] × [4373986790..._<967>] × [5756053266..._<2864>] (6.02%)

10⁴⁴⁰²+1 = 1000000000..._<4403> = 101 × 569 × 7669 × 17609 × 2049349 × 380623849488714809_<18> × 7716926518833508778689508504941_<31> × 93611382287513950329431625811490669_<35> × 8251988265906196670876248348671944663928­8430446081_<50> × 4831285495545122373055545883590398223973­07149685578249_<54> × [5735703333..._<4196>] (4.69%)

10⁴⁴⁰³+1 = 1000000000..._<4404> = 11 × 103 × 1259 × 4013 × 7253 × 8807 × 909091 × 1065527 × 1868879293_<10> × 21993833369_<11> × 3586448252081_<13> × 422650073734453_<15> × 296557347313446299_<18> × 135854006382839702339_<21> × 5673320472670315859129_<22> × 4748510899300162563150136104999362670229­727801_<46> × 3091086674769589337569777240589592264676­648718635101423877_<58> × 1037466478304215512424864306226369010022­36971549990724717454338463_<66> × 7494178266687108057213970786485169361385­2773414268140020183607240075991444673103­041682886153162527722083599097543_<113> × [1793204977..._<541>] × [9687571099..._<3446>] (9.47%)

10⁴⁴⁰⁴+1 = 1000000000..._<4405> = 73 × 137 × 61657 × 2322377 × 22548481 × 99990001 × 1617589201_<10> × 25062377380593204857_<20> × [2786244319..._<1434>] × [2741939688..._<2912>] (1.34%)

10⁴⁴⁰⁵+1 = 1000000000..._<4406> = 11 × 9091 × 312312739 × 17711949274714801_<17> × 530507479218619361_<18> × 9022769640122436503_<19> × 2204984688498108026870051_<25> × [1821425390..._<837>] × [9403537333..._<3478>] (2.06%)

10⁴⁴⁰⁶+1 = 1000000000..._<4407> = 101 × 4594127389_<10> × 33878921911713381689_<20> × 2885487104534490150241_<22> × [2204585127..._<4354>] (1.20%)

10⁴⁴⁰⁷+1 = 1000000000..._<4408> = 7 × 11 × 13² × 157 × 859 × 2939 × 4973 × 6397 × 216451 × 4426889 × 8743489 × 1058313049_<10> × 388847808493_<12> × 50785062644369_<14> × 271236358253303_<15> × 104120568827856356216891091637981484179_<39> × 5397511769683444928966129716536741688329­069042441479613115913313907895924533_<76> × 4129431088139783859996416179822426674855­1911970994071194269355370951724011428162­9255685010553886849303_<102> × 1955367882960696464416125380046679206894­8060793881858575770817633713035315603665­0166508246335832764566608042973_<111> × [2717122394..._<1313>] × [1040774455..._<2682>] (9.38%)

10⁴⁴⁰⁸+1 = 1000000000..._<4409> = 17 × 929 × 23201 × 134369 × 182353 × 4465073 × 5882353 × 57123254369_<11> × 31735795756961_<14> × 3218158442172653368321_<22> × 3114824318784041623490389014199610366824­348609_<46> × 4948797624251336428769758769452316283490­536687091682910619153_<61> × 3696603330750000688567094922124549915574­4897643777997943492126583399578160290634­4537626232976067313_<99> × 2345046820394523854722286018373912171012­6330850830571913874990515654086653442723­8711769806579683320997636600725852987602­204289_<126> × [5439758762..._<4000>] (9.26%)

10⁴⁴⁰⁹+1 = 1000000000..._<4410> = 11 × 8819 × 58340080226430081731_<20> × [1766936532..._<4385>] (0.56%)

10⁴⁴¹⁰+1 = 1000000000..._<4411> = 29 × 61 × 101 × 181 × 281 × 421 × 1009 × 3529 × 3541 × 5881 × 8821 × 9901 × 27961 × 226549 × 1140721 × 3471301 × 4188901 × 13489841 × 39526741 × 121499449 × 268330861 × 516305161 × 1011251221_<10> × 1384194841_<10> × 42681134161_<11> × 43266855241_<11> × 60368344121_<11> × 158201922061_<12> × 424451728681_<12> × 999999000001_<12> × 366395073564101_<15> × 833147737695001_<15> × 1351855459456741_<16> × 354434210886621881_<18> × 570816592546829581_<18> × 4458192223320340849_<19> × 848654483879497562821_<21> × 1073270134789210697641_<22> × 4999437541453012143121_<22> × 33822732328831925621101_<23> × 1105097795002994798105101_<25> × 56541586842121464411050521_<26> × 77283257918807517906248641_<26> × 139790941013628227711346421_<27> × 19825744781339712457003608841_<29> × 121313976737890972425991459741_<30> × 420119355377045523106806397381_<30> × 1075429309713599962569015420301_<31> × 32422034720694602873554553373241_<32> × 32947048425915036940409828576569_<32> × 28706164502711390875680641913825481_<35> × 282448028612066894256984424869264385801_<39> × 938366482703941691072746568832156530761_<39> × 1063795972097308740343464151173592140661_<40> × 3847233515464125662198753564777764246306­6081_<44> × 8368525376634310242625942457345062531184­86892761_<48> × 2292099475416119162504685490734919773460­97487987121_<51> × 5389978935326357919942790146424528038212­66462568112860601_<57> × 2290624689643723122789957563362013976604­4690040039603689929_<59> × 1044845694645532615440579579338650347038­975456315052342814839763722781_<70> × 2374210228947235142310460558271832939956­0972065457968561934785062599221_<71> × 9999999999999900000000000000999999999999­9900000000000000999999999999990000000000­0001_<84> × 4211926929669690057191123321028486011918­1841417224327914548495484369630946481330­639729038447921181_<98> × 2685182852519969161222911119932065926432­1926211755790365181721224173410626748400­4209003780641949203741_<102> × 1148298545657619053989750841199882335621­3764198634286427880534854135362802144107­6133668350909404160578580106494602411458­108349501_<129> × 1142522103..._<220> × 2475980612..._<258> × 1032309224..._<455> × [2772395539..._<910>] × [4727297112..._<957>] (57.68%)

10⁴⁴¹¹+1 = 1000000000..._<4412> = 11² × 23 × 4093 × 4813 × 8779 × 5733532487_<10> × 12061085521_<11> × 4488792458298882059329_<22> × 307108566292640123813209321_<27> × 2971245460182291007178927517460929280931­723051_<46> × [1174186273..._<320>] × [6247100273..._<3964>] (2.90%)

10⁴⁴¹²+1 = 1000000000..._<4413> = 73 × 137 × 3017809 × 38410873 × 601297617497_<12> × 2904627054976878313_<19> × 1085004112757674131137929817_<28> × [4551970089..._<4337>] (1.71%)

10⁴⁴¹³+1 = 1000000000..._<4414> = 7 × 11 × 13 × 703139 × 102222733 × 40092227857921_<14> × 849583907529514349038129_<24> × 19334791114228286793680848447_<29> × [6686927943..._<1436>] × [3156055648..._<2895>] (1.87%)

10⁴⁴¹⁴+1 = 1000000000..._<4415> = 101 × 15148849 × 9377534713994796925601_<22> × 908048334163502127235157462720849_<33> × [7675405747..._<4350>] (1.45%)

10⁴⁴¹⁵+1 = 1000000000..._<4416> = 11 × 3533 × 9091 × 10064610601_<11> × 85557600710321_<14> × 386236903818131_<15> × 50537708359236641_<17> × 23341218662287312957_<20> × 1796709486977412994959502244801_<31> × [1588577921..._<815>] × [2527651663..._<3488>] (2.57%)

10⁴⁴¹⁶+1 = 1000000000..._<4417> = 3457 × 12289 × 3709441 × 418725889 × 1265011073_<10> × 4647198209_<10> × 524668351489_<12> × 26557209681054721_<17> × 80816792812011521_<17> × 135845938570783489_<18> × 15343168188889137818369_<23> × 60304426207985580625793_<23> × 515217525265213267447869906815873_<33> × 338579887181973006729167651681190977281_<39> × 1660324999011469461300940104511992358095­7837937462177950368477911534904193_<74> × [4415277485..._<1359>] × [1424221583..._<2765>] (6.64%)

10⁴⁴¹⁷+1 = 1000000000..._<4418> = 11 × 909091 × 4399333 × 111478771 × 1585568705533_<13> × 7144726022423651_<16> × 25275592878679576093_<20> × 324340568278356513982411_<24> × 215007779702918011813855565694983_<33> × [6475491890..._<531>] × [1576960226..._<3762>] (2.83%)

10⁴⁴¹⁸+1 = 1000000000..._<4419> = 101 × 45121 × 132541 × 220223496957947853458206317209921_<33> × 762429049468135967923701517715821_<33> × 2144906157509411684424913774078958939881_<40> × 1023037643093214557651333120422980213172­396059301_<49> × [4493519879..._<4254>] (3.72%)

10⁴⁴¹⁹+1 = 1000000000..._<4420> = 7 × 11 × 13 × 19 × 983 × 52579 × 491983 × 1016371 × 169586491 × 829375597 × 129785559623_<12> × 301240316407_<12> × 66098047998761_<14> × 16169320097461693_<17> × 1806175016152162558504969_<25> × 4446707518200584686853006555169342665260­6026434296940573_<56> × [1635825721..._<390>] × [3587628975..._<948>] × [7344103702..._<2909>] (3.92%)

10⁴⁴²⁰+1 = 1000000000..._<4421> = 73 × 137 × 1361 × 1580801 × 1676321 × 152533657 × 787131281 × 5964848081_<10> × 306745325017_<12> × 74923940370137_<14> × 955309260344401_<15> × 33284509324725958001_<20> × 1754696500121460304617371593_<28> × 120920505705101252491925533049923433521_<39> × 6325274402021507450906224122454439230492­01_<42> × 1750670387248635638548480451079633036111­28869041_<48> × 6279815040943032407714418831204387527919­360005277361_<52> × 7523020307427066273763456609903850552762­967576510974081_<55> × 6555274617188258326423007086888436687780­3237222654400793_<56> × 3706128023114119218916379460291345996769­984434163189932241_<58> × 2518939361843542777324186815596987183284­7616402602493165089012697837571522380171­1824591828829715475342255247346366961412­2198237833353657872273444231835817866237­166090882172690592655745121_<187> × [2479949603..._<716>] × [3144636319..._<3038>] (15.09%)

10⁴⁴²¹+1 = 1000000000..._<4422> = 11 × 565889 × 11943512775751092105302053_<26> × [1345067206..._<4390>] (0.72%)

10⁴⁴²²+1 = 1000000000..._<4423> = 89 × 101 × 269 × 4021 × 9901 × 1919149 × 1963369 × 260587121 × 1052788969_<10> × 1056689261_<10> × 5419170769_<10> × 8009141141_<10> × 35576803021_<11> × 2224666544761_<13> × 213172394349469_<15> × 789390798020221_<15> × 2361000305507449_<16> × 25394661042771989_<17> × 94927228208573594069_<20> × 411108592242640071999067201_<27> × 2302527353565357450759725122262880394277­261_<43> × 1607103056527759457698658255252179917706­5559188277159741_<56> × 5869910682..._<217> × [2232174191..._<1282>] × [1450118346..._<2624>] (11.70%)

10⁴⁴²³+1 = 1000000000..._<4424> = 11 × 176921 × 1822277 × 1110751908779_<13> × 72814609828984253_<17> × [3486405842..._<4382>] (0.94%)

10⁴⁴²⁴+1 = 1000000000..._<4425> = 17 × 113 × 3793 × 5882353 × 33802522696443169_<17> × 73765755896403138401_<20> × 119968369144846370226083377_<27> × 3041610227520272973007139521013344769_<37> × [2564274301..._<568>] × [1000000009..._<3745>] (2.55%)

10⁴⁴²⁵+1 = 1000000000..._<4426> = 7 × 11 × 13 × 211 × 241 × 251 × 1889 × 2161 × 5051 × 9091 × 11801 × 35401 × 60247408327_<11> × 78875943472201_<14> × 968385024074451409_<18> × 2676157881043509853_<19> × 1090805842068098677837_<22> × 2353867026803341982771_<22> × 25602601418102182972721_<23> × 6628925590922901572512321_<25> × 193428272579096534429098931_<27> × 803454205095303821868753731_<27> × 3203031926532314264104769060847481_<34> × 4411922770996074109644535362851087_<34> × 219734968010040680865912320713950289_<36> × 1000009999999998999989999900000000010000­1_<41> × 1174468140649914584097264138153408637853­2210829572393992750466905235565987680343­7428443621873715949570886149892572665998­3288086179744161_<136> × 1372785208..._<440> × [8473942886..._<1156>] × [2824750713..._<2316>] (21.55%)

10⁴⁴²⁶+1 = 1000000000..._<4427> = 101 × 51633311820982632974516449_<26> × [1917558597..._<4399>] (0.63%)

10⁴⁴²⁷+1 = 1000000000..._<4428> = 11 × 552677 × 9562321 × 909090909090909091_<18> × 131293689927974865167_<21> × 1104211639510104471092325504815084487468­17791459_<48> × 1134592082241812086025433183314893126820­7872250962261786909131335180907668227111­7469696149897954452324260422892067519437­0887660714303521711888923919224666398211_<160> × [1150348330..._<4170>] (5.83%)

10⁴⁴²⁸+1 = 1000000000..._<4429> = 73 × 137 × 2953 × 3169 × 98641 × 1144393 × 55152217 × 99990001 × 121553521 × 10919421433_<11> × 51635353141921_<14> × 1252387050026401_<16> × 3199044596370769_<16> × 36637591407529194237097_<23> × 1726290008991504500177463302688697_<34> × 579276943498154282123686999881829009033_<39> × 1523756597661425772732982608015377525913­129160101547143097_<58> × 2245236606248397162554620353530247131809­5554391743324562620485785399554026316658­3148992537007203882503748922397253629192­9859656473_<130> × 3761335188..._<240> × [1447766278..._<938>] × [9157994369..._<2870>] (14.02%)

10⁴⁴²⁹+1 = 1000000000..._<4430> = 11 × 1237 × 372037 × 44092859 × 57009401 × 102860539 × 984385009 × 2182600451_<10> × 1615061255699_<13> × 216320327434397_<15> × 612053256358933_<15> × 30108706395556556939_<20> × 182725114866521155647161_<24> × 7306116556571817748755241_<25> × 1725584647573468699462902169_<28> × 1471865453993855302660887614137521979_<37> × [1628890371..._<4206>] (5.05%)

10⁴⁴³⁰+1 = 1000000000..._<4431> = 101 × 3541 × 8861 × 27961 × 8913161 × 3341035121_<10> × 1206616643049066628787861_<25> × 1715636541285455667635429_<25> × [5771030087..._<860>] × [7859446637..._<1728>] × [4036124590..._<1764>] (1.78%)

10⁴⁴³¹+1 = 1000000000..._<4432> = 7² × 11 × 13 × 127 × 2689 × 8863 × 459691 × 909091 × 9388709407477_<13> × 38087571415274724997_<20> × 2764617069785703725933625413_<28> × 3288306793104537549151557682274952353292­6149751780658407359998309758510107771719­3987768606878995960468762394797684114544­7142199844840010655676265265016804404656­93288035792812855582407_<183> × 2885196031..._<401> × [1099999890..._<1261>] × [1093590651..._<2504>] (15.07%)

10⁴⁴³²+1 = 1000000000..._<4433> = 353 × 449 × 641 × 1409 × 69857 × 79777 × 203873 × [6148406678..._<4406>] (0.59%)

10⁴⁴³³+1 = 1000000000..._<4434> = 11² × 23 × 859 × 2729 × 4093 × 8779 × 43649 × 51767 × 204601 × 30853681 × 195886211 × 1058313049_<10> × 22144088539_<11> × 264752347289_<12> × 104730101107272149081_<21> × 626254207448316529499143_<24> × 909090909090909090909090909091_<30> × 2177860289102579516374524848693_<31> × 35065183927133465514193983196961_<32> × 2521683376335623264853169025426175893_<37> × 3460752460920951256221365127056152886287­9196390936320471942325254862879783_<74> × 2858024101..._<227> × [1601447471..._<321>] × [1352914382..._<3563>] (12.42%)

10⁴⁴³⁴+1 = 1000000000..._<4435> = 101 × 9901 × 40016859385301_<14> × 11884853582668511941_<20> × 59370937592109234901_<20> × 146917778247278843528826087229_<30> × [2081813350..._<1444>] × [1157904335..._<2904>] (1.98%)

10⁴⁴³⁵+1 = 1000000000..._<4436> = 11 × 9091 × 97571 × 390281 × 6076232821367050832910011_<25> × 2848444344012968465447811971_<28> × [9317224473..._<881>] × [1628428852..._<3487>] (1.53%)

10⁴⁴³⁶+1 = 1000000000..._<4437> = 73 × 137 × 13343489 × 1094804801_<10> × [6844637897..._<4416>] (0.45%)

10⁴⁴³⁷+1 = 1000000000..._<4438> = 7 × 11 × 13 × 19 × 59 × 103 × 1973 × 4013 × 52579 × 155557 × 776969 × 2142001 × 5364487 × 158613877 × 235166917 × 832339891 × 21993833369_<11> × 276402747619_<12> × 291078844423_<12> × 638453709757_<12> × 2405782797823_<13> × 40256406669887_<14> × 135080726389891_<15> × 2184943628221853_<16> × 31510242708543451_<17> × 2345603468472542539_<19> × 47574748029818884687_<20> × 377526955309799110357_<21> × 865788741404845009303_<21> × 3034393079896950320251_<22> × 2762580729671077856014459_<25> × 31776198009594043756225807_<26> × 154083204930662557781201849_<27> × 1274194732898148471766404179653_<31> × 2844366024589741098287806157501475277_<37> × 6811645794372004956047418049529911921_<37> × 1573934772575790000929935727527896834161­20273639369_<51> × 3419617126180238738338893297973229765943­7730917935891719545686910386309666489481­5555956884183686442687_<102> × 3312754470..._<353> × [3467640564..._<850>] × [2072999615..._<2617>] (21.89%)

10⁴⁴³⁸+1 = 1000000000..._<4439> = 29 × 101 × 281 × 44381 × 121499449 × 366482806061_<12> × 821604454721_<12> × 42578121936812302850424703961_<29> × 20590096231646543619650987336501_<32> × [2230907392..._<628>] × [3826133389..._<3709>] (2.30%)

10⁴⁴³⁹+1 = 1000000000..._<4440> = 11 × 47 × 139 × 1931 × 2531 × 10037 × 1430131 × 166376423 × 549797184491917_<15> × 18442361029215075131_<20> × 491574168918915738167_<21> × 22219073416860568668809_<23> × 1971303592086415433699486018997726858813­1479788059136184198723981290523755287675­8580360078419442702688883521253076425640­4612155186751987040696800248062364073483­74092599681_<171> × [5460861575..._<4162>] (6.25%)

10⁴⁴⁴⁰+1 = 1000000000..._<4441> = 17 × 593 × 1777 × 17761 × 5070721 × 5882353 × 7228321 × 1132716961_<10> × 2558434561_<10> × 9999999900000001_<16> × 14645119755678294049_<20> × 3942722086472322467801441_<25> × 19721061166646717498359681_<26> × 281259985248437790051014401_<27> × 31388506438433752927908678241_<29> × 79811762757311658061523042881_<29> × 2922137698079622949054068972641_<31> × 2430356574005120498845908043009873_<34> × 1686340623..._<286> × 2187319485..._<514> × [4250714587..._<1059>] × [5630313552..._<2300>] (24.36%)

10⁴⁴⁴¹+1 = 1000000000..._<4442> = 11 × 26647 × 399691 × 37419075503_<11> × 1219803661814763235608863_<25> × [1870043192..._<4396>] (1.03%)

10⁴⁴⁴²+1 = 1000000000..._<4443> = 101 × 399781 × 6071508293830004869_<19> × [4079058028..._<4416>] (0.59%)

10⁴⁴⁴³+1 = 1000000000..._<4444> = 7 × 11 × 13 × 8887 × 2455499 × 3705463 × 4754011 × 29812050157_<11> × 28503419910211_<14> × 75252718345565866837_<20> × 414350733457660982531_<21> × 4610799943809342524332325125122139_<34> × [2997143921..._<1443>] × [7097498698..._<2876>] (2.81%)

10⁴⁴⁴⁴+1 = 1000000000..._<4445> = 73 × 137 × 617 × 6923753 × 73445497889017_<14> × 13360153946714873_<17> × 16205834846012967584927082656402106953_<38> × [9999000099..._<400>] × [1472059008..._<3964>] (1.82%)

10⁴⁴⁴⁵+1 = 1000000000..._<4446> = 11 × 3557 × 5081 × 9091 × 909091 × 4147571 × 157297121 × 857772733 × 1094479651_<10> × 1125629957_<10> × 6549246491_<10> × 2660369248721_<13> × 405519787216361_<15> × 265212793249617641_<18> × 616896149073719728613_<21> × 4514666454616035926293_<22> × 10860110813777339731289_<23> × 52034716615139419063969613_<26> × 258912669263486564449721971_<27> × 1515780514077670348158815644201_<31> × 2023676381023110295200831711358947249100­91_<42> × 3609953127360313821869930156556758170515­1216702113889_<53> × 3717737335..._<388> × [3089139056..._<679>] × [9091000909..._<3024>] (16.71%)

10⁴⁴⁴⁶+1 = 1000000000..._<4447> = 101 × 229 × 521 × 2281 × 3121 × 4789 × 9901 × 35569 × 126541 × 177841 × 304077901 × 999999000001_<12> × 52875286008709_<14> × 53397071018461_<14> × 722817036322379041_<18> × 739653893349540289_<18> × 1369778187490592461_<19> × 1900381976777332243781_<22> × 11761957262582764997761_<23> × 33950736420661075851541_<23> × 2050658332436114459080741_<25> × 8348207105308491327615593509_<28> × 6060517860310398033985611921721_<31> × 294342151630080361329671206012541_<33> × 117609798518967483441609863271124249_<36> × 3677587359155133559871630366055627737897­41_<42> × 7228985127862038010429519200208428060814­5936427715050154509673765832901166663194­5714409_<87> × 1047883174565883415444214697763115441509­2805625223194933521483159740217604649402­2900534970670424195452902355693696715063­67773081665717583993696581_<146> × [3431380773..._<400>] × [6668896143..._<831>] × [2811434113..._<2588>] (14.13%)

10⁴⁴⁴⁷+1 = 1000000000..._<4448> = 11 × 4000103183_<10> × 7362356320511163128237_<22> × [3086876739..._<4415>] (0.73%)

10⁴⁴⁴⁸+1 = 1000000000..._<4449> = 19841 × 976193 × 6187457 × 834427406578561_<15> × 18359010031708017159617_<23> × [5446916790..._<4394>] (1.22%)

10⁴⁴⁴⁹+1 = 1000000000..._<4450> = 7 × 11 × 13 × 117915759619663_<15> × 95981284857953712560599708643474527_<35> × [9471543441..._<1447>] × [9319374292..._<2950>] (1.17%)

10⁴⁴⁵⁰+1 = 1000000000..._<4451> = 101 × 3541 × 26701 × 27961 × 38449 × 60101 × 135281 × 138841 × 178001 × 498401 × 5900701 × 7019801 × 57431716021_<11> × 1457410742401_<13> × 14103673319201_<14> × 1680588011350901_<16> × 27011502947658641_<17> × 336110303423002201_<18> × 9803156822477408701_<19> × 72078063963285476754999497827094747101_<38> × 1770802747819705674494038777570386129969­127178558041_<52> × 7660395383708237627973789216434577857253­936548886784731800803873631881_<70> × 1854709277039466195504689386640395344414­1877738854819606028843831344546174591125­3465484730154523123384560237055546861306­6960424330102181268271626236526315595661­8360389_<167> × 2293095408647303704463510413366421246664­1273256857671246712962090747869686084527­3528375114013975382707715890725000190512­6900896622451035606748517849622876107204­34009040255487398947007833539127001301_<198> × 3158469855..._<324> × [2868104634..._<1698>] × [3530233754..._<1744>] (22.67%)

10⁴⁴⁵¹+1 = 1000000000..._<4452> = 11 × [9090909090..._<4450>] (0.02%)

10⁴⁴⁵²+1 = 1000000000..._<4453> = 73 × 137 × 7841 × 18233 × 99990001 × 11189053009_<11> × 67406298457_<11> × 225949462038457_<15> × 1488067111584049_<16> × 603812429055411913_<18> × 899319337247551841_<18> × 23641392997940421257_<20> × 127522001020150503761_<21> × 148029423400750506553_<21> × 52479828164257337529193_<23> × 706882718657645277228087439919935993_<36> × 5446917923904711630084568262371769716257­7784999950014081337618457_<65> × 4721039325728010820594679541353546669967­335225378893722566311366791400472881_<76> × 1193142585..._<344> × [1000099999..._<1249>] × [9999000100..._<2496>] (15.90%)

10⁴⁴⁵³+1 = 1000000000..._<4454> = 11 × 293 × 81131 × 76919131348693_<14> × 44117166341914600832827771_<26> × 10826684964539959837294043117_<29> × 2865788889761949979999225923309086021030­11_<42> × 1120522253011683685532152825789043757514­5023592596037161_<56> × [3241534918..._<4281>] (3.87%)

10⁴⁴⁵⁴+1 = 1000000000..._<4455> = 101 × 1049 × 14149 × 16310549 × 28559389 × 33887081 × 45401981 × 750944401 × 1491383821_<10> × 4739189621_<10> × 322185369274849_<15> × 2324557465671829_<16> × 15790837039253591742509_<23> × 1345744499..._<224> × [1101883737..._<4113>] (7.68%)

10⁴⁴⁵⁵+1 = 1000000000..._<4456> = 7 × 11² × 13 × 19 × 23 × 211 × 241 × 331 × 811 × 1459 × 1783 × 2161 × 2971 × 4093 × 5171 × 6481 × 7129 × 8779 × 9091 × 14851 × 29611 × 52579 × 3762091 × 25973641 × 70541929 × 146895607 × 599144041 × 756065179 × 2458921051_<10> × 4124507971_<10> × 7093127053_<10> × 14175966169_<11> × 20163494891_<11> × 183411838171_<12> × 213872067091_<12> × 577603663291_<12> × 8985695684401_<13> × 31023833790241_<14> × 1008776328735583_<16> × 456502382570032651_<18> × 318727841165674579776721_<24> × 610600386089858349939139_<24> × 8927244623941181398233253_<25> × 19835636682880495867311241_<26> × 391693499332367148243922321_<27> × 4528608452944463255687031241_<28> × 115690846857912397278375911371_<30> × 445514740907997463826918277583_<30> × 1866763546567680996103417376059_<31> × 690282702009816065768196407742211_<33> × 296612839453782466705709405330136451_<36> × 22663213771462227811088536403512441819_<38> × 8610583349234340055547908764091017276717­091_<43> × 1112314101311286003379752617807870409611­285281_<46> × 1411225248778861822822335393177961449383­05111168717_<51> × 1129703083824398594017269473417407045549­51737408511354573_<57> × 7450755712209696453100606651478898442343­8931950911932421947947339_<65> × 1377206548249672561974389193550868011092­0779677692987735503476415888170706078656­81921_<85> × 3618486858661907554721447497991672856747­4724193812138011846129157788970353909164­911894611_<89> × [2589866579..._<229>] × [4957950145..._<438>] × [1076726952..._<657>] × [8607235578..._<2098>] (23.23%)

10⁴⁴⁵⁶+1 = 1000000000..._<4457> = 17 × 5882353 × 9010033 × 151860481 × [7308509955..._<4433>] (0.52%)

10⁴⁴⁵⁷+1 = 1000000000..._<4458> = 11 × 1680862037183886151986766096284943_<34> × [5408480226..._<4423>] (0.77%)

10⁴⁴⁵⁸+1 = 1000000000..._<4459> = 101 × 9901 × 41609 × 517129 × 41525706701981_<14> × 12925109080411550270774809_<26> × [1108090987..._<1461>] × [7814239583..._<2943>] (1.24%)

10⁴⁴⁵⁹+1 = 1000000000..._<4460> = 11 × 197 × 859 × 1373 × 3823 × 14407 × 15289 × 46649 × 209917 × 275087 × 909091 × 21705503 × 42529943 × 1058313049_<10> × 4020987966062173_<16> × 85726364657562202729838047_<26> × 114668316785341956642184453_<27> × 506500014792811998378163728668881_<33> × 5076141624365532994918781726395939035533_<40> × 1727311850410986782582477577505934019333­847_<43> × 5067838741170388910175912578529043989438­9920385627096501794498837_<65> × 9214752062..._<223> × 9904804597..._<454> × [2391923879..._<3469>] (22.22%)

10⁴⁴⁶⁰+1 = 1000000000..._<4461> = 73 × 137 × 16057 × 1676321 × 5964848081_<10> × 77720932598970770971176668683177333921_<38> × [8012243918..._<846>] × [1000099999..._<3553>] (1.39%)

10⁴⁴⁶¹+1 = 1000000000..._<4462> = 7 × 11 × 13 × 188373374129_<12> × 20910141810492944459_<20> × 44377378422034449332917_<23> × [5200788310..._<1433>] × [1098901098..._<2973>] (1.26%)

10⁴⁴⁶²+1 = 1000000000..._<4463> = 101 × 389 × 1289 × 44621 × 18371524594609_<14> × 4181003300071669867932658901_<28> × 7841265533423516760616281051300442061096­6509546603404268745999503561001_<71> × 3245957760067555786094253757954702020796­0799876413377335594586605416959347268194­103170247296625068200526946320832808609_<119> × [2263508213..._<4220>] (5.44%)

10⁴⁴⁶³+1 = 1000000000..._<4464> = 11 × 5296349213_<10> × [1716448203..._<4453>] (0.24%)

10⁴⁴⁶⁴+1 = 1000000000..._<4465> = 97 × 353 × 449 × 641 × 1409 × 13249 × 69857 × 206209 × 1067329 × 1353089 × 8633377 × 10883233 × 10935809 × 66554101249_<11> × 75118313082913_<14> × 1644637217695228463041_<22> × 2431687011120612451781761_<25> × 1356168836676055305706524750288176095805­6321_<44> × 7071614705525771137412357579842860859021­9877617672752248112085912824160137075376­116481_<86> × [4983207363..._<424>] × [4112371351..._<936>] × [6471295818..._<2845>] (5.82%)

10⁴⁴⁶⁵+1 = 1000000000..._<4466> = 11 × 5641 × 6299 × 9091 × 20681 × 857281 × 1357361 × 21997411 × 1812604116731_<13> × 121450506296081_<15> × 4855067598095567_<16> × 909090909090909091_<18> × 297262705009139006771611927_<27> × 392148319610431509645804281_<27> × 4996731930447843676185843959746621491531­100801_<46> × 4286364887150220673583225059177107721806­0654759722155521252580860689593571157627­9570184017568300401917094195916970808292­9486830943679876008361716880663960188314­299305481_<169> × [1099999999..._<829>] × [1992244947..._<3274>] (8.14%)

10⁴⁴⁶⁶+1 = 1000000000..._<4467> = 29² × 89 × 101 × 281 × 349 × 11369 × 38861 × 68209 × 618049 × 121499449 × 1052788969_<10> × 1056689261_<10> × 39511854229_<11> × 17087918608069_<14> × 2079492584954269_<16> × 512592628798218592009_<21> × 188043499241195246082595481_<27> × 6861213971210390201377343641_<28> × 396096831570425720680992129087061_<33> × 1181180637520183640867963573625866958318­7541_<44> × 2556194893173839918095986049303563300534­6674997219855227412314112685523898853595­360610683149167147379131162769_<110> × [2212002950..._<273>] × [3764477538..._<491>] × [5794146335..._<3347>] (7.98%)

10⁴⁴⁶⁷+1 = 1000000000..._<4468> = 7 × 11 × 13 × 46764424423_<11> × 64630925073350332405569318739_<29> × [9090909090..._<1488>] × [3635822242..._<2937>] (0.95%)

10⁴⁴⁶⁸+1 = 1000000000..._<4469> = 73 × 137 × 140429208050264216888582509081513_<33> × [7120313671..._<4432>] (0.81%)

10⁴⁴⁶⁹+1 = 1000000000..._<4470> = 11 × 3338786746233023_<16> × 314174326086679649_<18> × 2670502781396266997_<19> × 3404193829806058997303_<22> × 14060959683864286267405933000927102019_<38> × 1936438332114871929518057885332574185585­8987848620134943_<56> × [3501240899..._<4303>] (3.72%)

10⁴⁴⁷⁰+1 = 1000000000..._<4471> = 61 × 101 × 1789 × 3541 × 8941 × 9901 × 10729 × 26821 × 27961 × 62581 × 607921 × 4188901 × 39526741 × 930761281 × 5460703981_<10> × 14118155281_<11> × 4672884738461_<13> × 22438899583501_<14> × 72286688991301_<14> × 433688693773681_<15> × 8993218673605921_<16> × 13654539703294621_<17> × 171815892427926701_<18> × 394330363955059501_<18> × 136916416686052955621_<21> × 2336398996447692315465181_<25> × 43449727365272099794386367962241_<32> × 288402714464678603661515072629901_<33> × 2647733864525435357868825323065594021_<37> × 5275415368338873197815559526085771801_<37> × 419756153580320286394669174686745894121_<39> × 1246367109888271888132768540089063179396­3396331809714158641277443477408779299864­7883415860929015950835202718655751629188­29366361_<128> × 8895507508554837180752614096475159767380­8146087064792094397309434551286882432924­3742140819672454584022003887892748841995­5380770391177802169_<139> × [3824159400..._<463>] × [4687503701..._<532>] × 1431694574..._<572> × [3861301589..._<1057>] × [1126887505..._<1156>] (28.28%)

10⁴⁴⁷¹+1 = 1000000000..._<4472> = 11 × 103 × 4013 × 21993833369_<11> × 84985107797_<11> × 935875736987641_<15> × 1807827291555251625042355567733_<31> × 1464836520301341417091423101371315459_<37> × 9713799312..._<247> × [4887691182..._<4115>] (7.97%)

10⁴⁴⁷²+1 = 1000000000..._<4473> = 17 × 1249 × 26833 × 41281 × 49297 × 300977 × 648961 × 5882353 × 2999093137_<10> × 3413503296113_<13> × 129876086622673_<15> × 249227787818677482257_<21> × 34883769795276074742193_<23> × 301141397581994586210257_<24> × 524418195375754143552289_<24> × 1296421160956157990906344669645176469287­5452342031494097_<56> × 3336327664384090112747059870264076396700­42305536743429073_<57> × 3391814169..._<207> × [2802923856..._<3992>] (10.75%)

10⁴⁴⁷³+1 = 1000000000..._<4474> = 7² × 11 × 13 × 19 × 127 × 2689 × 52579 × 290249 × 459691 × 488197 × 599383 × 909091 × 2107849 × 5274739 × 4167118369_<10> × 8895542156567641_<16> × 35214504316274557_<17> × 41743965449582047_<17> × 870769015882985730127_<21> × 284694235592871082270329703_<27> × 21977699107816352490639478201_<29> × 189772422673235585874485732659_<30> × 2572061042263969601315274902532495916809­19459_<45> × 3132106946418106835541520932340538954170­6979493156189716729115659_<65> × 2372121273417053818094646796447673682891­7804359164858872931510547829240056443942­41806042716589462595192339_<106> × [4276725442..._<376>] × [4911851953..._<398>] × [1042409150..._<777>] × [4496278904..._<2489>] (9.73%)

10⁴⁴⁷⁴+1 = 1000000000..._<4475> = 101 × 4349348743525136310189771336365201_<34> × [2276430491..._<4439>] (0.80%)

10⁴⁴⁷⁵+1 = 1000000000..._<4476> = 11 × 251 × 5051 × 9091 × 35801 × 21206131 × 41987743601_<11> × 78875943472201_<14> × 6586348755220675329011_<22> × 98352890767708325565687458801_<29> × 523661705392754764972834211810001059_<36> × 1736027094838023676544212358044818093424­6742941840774929827069381097446101825710­3139536333050392475382212050370542458702­92654737645806593390849_<143> × [2199819367..._<679>] × [2421556894..._<3521>] (6.17%)

10⁴⁴⁷⁶+1 = 1000000000..._<4477> = 73 × 137 × 2005249 × 99990001 × 2169794713_<10> × 7163994044917033_<16> × 66105714868198777_<17> × 437400322416232488095017_<24> × [1470630643..._<1440>] × [7544598150..._<2953>] (1.88%)

10⁴⁴⁷⁷+1 = 1000000000..._<4478> = 11³ × 23 × 4093 × 4357 × 7253 × 8779 × 25169 × 1485397 × 18386313727_<11> × 409038414731_<12> × 422650073734453_<15> × 296557347313446299_<18> × 102502981431359171598893_<24> × 84713181371149698699040859437321_<32> × 219750014263062386251162088588835607771_<39> × 5444710013725792963322916526756467746442­08265246405598834086237345292487_<72> × [1444603573..._<279>] × [5438828113..._<3950>] (5.56%)

10⁴⁴⁷⁸+1 = 1000000000..._<4479> = 101 × 2951426436957469_<16> × 226246730064451723513841_<24> × [1482737775..._<4438>] (0.91%)

10⁴⁴⁷⁹+1 = 1000000000..._<4480> = 7 × 11 × 13 × 20903 × 259783 × 1182301776345283284253_<22> × 915316299417054078680294371_<27> × [1674125326..._<1483>] × [1015451228..._<2937>] (1.36%)

10⁴⁴⁸⁰+1 = 1000000000..._<4481> = 257 × 15361 × 17921 × 453377 × 7710977 × 727912961 × 12939800833_<11> × 45501964033_<11> × 46557699107280397718952961_<26> × 336490113384347841803678799361_<30> × 8036845650724384999755715242923368926721_<40> × 4560897401317754430626820629544566062629­889_<43> × 5587118763375362122579477500901613134643­0842253464047463157158784732544216230781­165223702155223678309562822667655169_<116> × [1091116447..._<409>] × [4829281873..._<698>] × [5580045756..._<3068>] (6.84%)

10⁴⁴⁸¹+1 = 1000000000..._<4482> = 11 × 634383935732201_<15> × [1433029523..._<4466>] (0.35%)

10⁴⁴⁸²+1 = 1000000000..._<4483> = 101 × 109 × 9901 × 17929 × 29881 × 153469 × 167329 × 999999000001_<12> × 1033593699289_<13> × 5056499909449_<13> × 329740773458209570441_<21> × 59779577156334533866654838281_<29> × 2302396795526516076776837687352113616978­6061_<44> × 4300297028838474156015268798064619519844­2861652725689411586949534183336343885152­2239838194937434654367240751665935313744­1_<121> × 9771721622..._<316> × [6065427819..._<954>] × [1103046774..._<2936>] (13.23%)

10⁴⁴⁸³+1 = 1000000000..._<4484> = 11 × 22128089 × [4108311879..._<4475>] (0.19%)

10⁴⁴⁸⁴+1 = 1000000000..._<4485> = 73 × 137 × 457 × 80713 × 1403417 × 395026241 × 1065909577_<10> × 25545141737_<11> × 664843397441_<12> × 6218964172073_<13> × 7585029286073_<13> × 3410758635375200561_<19> × 5240808656722481737_<19> × 15539912680318446206401_<23> × 2974783307863656284148053052903024835550­43017_<45> × 3239493798040303234394148031888008631830­7142570248235727782772042697_<68> × 3683701505731300609663453679558774823033­6921494253255771361450341226561526611901­3587242450010428631327583370287498472127­46321_<125> × [5806922905..._<4105>] (8.46%)

10⁴⁴⁸⁵+1 = 1000000000..._<4486> = 7 × 11 × 13² × 47 × 131 × 139 × 157 × 211 × 241 × 691 × 859 × 2161 × 2531 × 6397 × 8971 × 9091 × 15601 × 31051 × 41263 × 107641 × 216451 × 925081 × 11313931 × 1058313049_<10> × 32494323733_<11> × 127688571001_<12> × 194656286401_<12> × 388847808493_<12> × 564362592691_<12> × 40118979906877_<14> × 143574021480139_<15> × 549797184491917_<15> × 30026041946242291_<17> × 75604426642173817903321_<23> × 24649445347649059192745899_<26> × 20186272871950202514968048148247_<32> × 8506605834248913330852032305919581849_<37> × 7386441591567953769105190285927615814299­177561_<46> × 8396862596258693901610602298557167100076­327481_<46> × 1281657376897297354090423403366881099978­010686253604381263_<58> × 7569117043210563816993730850591392451422­8814615635050477687293_<62> × 1591879884384947756889998393793196655587­7132981347465830696251648192619376266439­940521_<86> × 6305412991157180194163926340576846142599­9152026392552531582926655481271974023945­336611_<86> × 4381032561373952229810899174127764174713­7547565878057174130075470872858289958280­148759277150273598401_<101> × 3489538705139086365663259641191165613827­7584475667020313941336914546684355923986­2216107575333780861060309557540714055579­224966141897413_<135> × [5269656631..._<425>] × [9091000000..._<1056>] × [5395952238..._<2069>] (20.86%)

10⁴⁴⁸⁶+1 = 1000000000..._<4487> = 101 × 80749 × 260189 × 1875149 × 1331980990053596471625571221796349_<34> × [1886769000..._<4435>] (1.15%)

10⁴⁴⁸⁷+1 = 1000000000..._<4488> = 11 × 909091 × 9090909090..._<640> × [1099999890..._<3841>] (14.42%)

10⁴⁴⁸⁸+1 = 1000000000..._<4489> = 17² × 54673 × 5882353 × 10100113 × 19516817 × 5637065089_<10> × 7574101393_<10> × 13355595217_<11> × 9999999900000001_<16> × 75675153541982860202858401_<26> × 11786300284844910479546815969_<29> × 3112019096332789739503121888657089_<34> × 394250202539694260096211322083329761_<36> × 9900879227786858424257223656804730798555­422102713108259184822982673560177_<73> × 1121164122863056567916507341571734921130­1068854209340842417386559363002502053200­017505737086336239008966529_<107> × 4404410875574787768521718346256386184129­4905937408483757953142563366126920380374­1415744566525108430933975383194546209_<117> × 3178246571075235723080972275640135632212­4363189689680294665332492640481157548317­36073020454216579035062833710671458881_<118> × 1020907660793056991392207062249442809067­1480292064954172591269153271836953190308­6828016478179513102970945488589674199626­33393_<125> × [5513732867..._<1194>] × [9999999900..._<2560>] (16.36%)

10⁴⁴⁸⁹+1 = 1000000000..._<4490> = 11 × 17957 × 129676256983649_<15> × 28313017404044567_<17> × 1246747576119831465234847_<25> × 79802716694341260342754321_<26> × 141735361457816981164214287_<27> × 9090909090909090909090909090909090909090­90909090909090909090909091_<66> × [1075586074..._<4312>] (3.96%)

10⁴⁴⁹⁰+1 = 1000000000..._<4491> = 101 × 3541 × 27961 × 116741 × 996781 × 1939681 × 1047678641_<10> × 371280853824761_<15> × 4714217554227278101_<19> × 2886354458906795587641947282821_<31> × [2804642194..._<852>] × [4982125732..._<1765>] × [5990519035..._<1774>] (2.23%)

10⁴⁴⁹¹+1 = 1000000000..._<4492> = 7 × 11 × 13 × 19 × 1997 × 52579 × 115565407 × 10595774496973_<14> × 1761645225880931_<16> × 552088553468352674401_<21> × 576128039250271961317_<21> × 90423008276017153733438983_<26> × 7016092401376747085885131800303253_<34> × [2697112988..._<441>] × [2352428554..._<934>] × [1813114930..._<2968>] (3.34%)

10⁴⁴⁹²+1 = 1000000000..._<4493> = 73 × 137 × 98928573761_<11> × [1010729228..._<4478>] (0.33%)

10⁴⁴⁹³+1 = 1000000000..._<4494> = 11 × 3537919647209_<13> × 22016774315102500517_<20> × 1934529676293140175881_<22> × [6032957457..._<4439>] (1.21%)

10⁴⁴⁹⁴+1 = 1000000000..._<4495> = 29 × 101 × 281 × 9901 × 226549 × 404461 × 1492009 × 121499449 × 1977535165849_<13> × 40882343106721_<14> × 4458192223320340849_<19> × 2421825498886875706568085804897442030525­2561001802943053838404135749303145829915­5915519733583733897374728100788465877671­5423100656032123324942160620509168628560­523446063044557248001192491268292405581_<199> × [5107362981..._<412>] × [1009999999..._<1273>] × [1640706755..._<2533>] (6.19%)

10⁴⁴⁹⁵+1 = 1000000000..._<4496> = 11 × 59 × 1451 × 9091 × 11161 × 5733823 × 30104611 × 58765601 × 87194011 × 88137961 × 728008898249_<12> × 2433146345771_<13> × 3925963357681_<13> × 5167617497664851_<16> × 17996132431060961_<17> × 154083204930662557781201849_<27> × 909090909090909090909090909091_<30> × 2568284027666111786822331496771_<31> × 1783819981751579676826660296718813_<34> × 19139674963189505655771688512382087_<35> × 9786272766548023124601100893556320774114­4491224418517422691228321_<65> × 4857900688365130469291831549890842547443­9173769354062250546461438565798929702369­11030721_<88> × [7718379575..._<754>] × [4605947162..._<3314>] (9.51%)

10⁴⁴⁹⁶+1 = 1000000000..._<4497> = 353 × 449 × 641 × 1409 × 69857 × 33270401 × 3893626303011815046971521_<25> × [7719473800..._<4448>] (1.07%)

10⁴⁴⁹⁷+1 = 1000000000..._<4498> = 7 × 11 × 13 × 170887 × 20353774330957_<14> × [2613685534..._<1480>] × [1098901098..._<2997>] (0.48%)

10⁴⁴⁹⁸+1 = 1000000000..._<4499> = 101 × 521 × 206909 × 19368443729478869_<17> × 1900381976777332243781_<22> × 267736665859843294854689_<24> × 9970640571320679438520961989_<28> × [5126970743..._<300>] × [1823199282..._<4100>] (2.20%)

10⁴⁴⁹⁹+1 = 1000000000..._<4500> = 11² × 23 × 4093 × 8779 × 53171 × 1358791302758702868906124409_<28> × 8990933218232263717426741276678007309187­4834080069255427757_<59> × 1399506617..._<318> × [1099999999..._<4081>] (9.31%)

10⁴⁵⁰⁰+1 = 1000000000..._<4501> = 73 × 137 × 401 × 1201 × 1601 × 3169 × 24001 × 32401 × 98641 × 1378001 × 1676321 × 2160001 × 31272001 × 99990001 × 113850001 × 265183201 × 5964848081_<10> × 321473851171201_<15> × 1508102541594001_<16> × 3199044596370769_<16> × 178601070881582358375601_<24> × 271453337030306516600466001_<27> × 100009999999899989999000000010001_<33> × 4711806100010561082466291127577601_<34> × 95853807664312827399794371014650641_<35> × 1216057084775405433757097429262954022602­494154001_<49> × 4482637729513780747000872935673625025127­940754401_<49> × 3934092998504003793986055051156601020217­3435808159761_<53> × 1296944190290577505513857711845642744990­75700947656757821537291527196801_<72> × 1461236573124057038200579394128634953625­7260783370326347124974631092755601_<74> × 3023577677..._<390> × [1432241739..._<395>] × [6860965463..._<743>] × [4629627486..._<2394>] (21.54%)