10²⁰⁰¹+1 = 1000000000..._<2002> = 7 × 11 × 13 × 47 × 59 × 139 × 2531 × 12007 × 26681 × 31051 × 976489 × 2628957823_<10> × 6652516597_<10> × 37832309369_<11> × 638453709757_<12> × 135080726389891_<15> × 143574021480139_<15> × 549797184491917_<15> × 24649445347649059192745899_<26> × 154083204930662557781201849_<27> × 1274194732898148471766404179653_<31> × [1089752138..._<602>] × [4437822634..._<1203>] (9.86%)

10²⁰⁰²+1 = 1000000000..._<2003> = 29 × 89 × 101 × 281 × 521 × 120121 × 121499449 × 1052788969_<10> × 1056689261_<10> × 39511854229_<11> × 654721485601_<12> × 17576772101461_<14> × 1900381976777332243781_<22> × 754309323029578981494450523147961_<33> × 4832227158939716614468345433242909_<34> × 3571618567996393297210217238290456648947­344377957590363519828421_<64> × 4319164138206177545460534768046354494614­10533962843828981966782964481_<69> × 4052019124515366329161607597930173756665­3577978261825599617472901135361_<71> × 3890576401025757952383148172224064194438­3267437992820699295414780582742505383339­8395365869_<90> × 2556194893173839918095986049303563300534­6674997219855227412314112685523898853595­360610683149167147379131162769_<110> × [8242513881..._<1435>] (28.33%)

10²⁰⁰³+1 = 1000000000..._<2004> = 11 × 4007 × 41005460154133_<14> × 15893884505804386451_<20> × 26812925200960363811_<20> × [1298290959..._<1947>] (2.84%)

10²⁰⁰⁴+1 = 1000000000..._<2005> = 73 × 137 × 224449 × 705409 × 99990001 × 2205206684756014505809_<22> × 1921752617028724103640763466297_<31> × [3286248647..._<623>] × [4535175804..._<1307>] (3.73%)

10²⁰⁰⁵+1 = 1000000000..._<2006> = 11 × 4813 × 9091 × 12061085521_<11> × 146420963398401154361_<21> × 4488792458298882059329_<22> × 1292945277584884163181284041_<28> × 2971245460182291007178927517460929280931­723051_<46> × [1174186273..._<320>] × 5810385374..._<1553> (84.09%)

10²⁰⁰⁶+1 = 1000000000..._<2007> = 101 × 28559389 × 430148941 × 1491383821_<10> × 38447934809_<11> × 2324557465671829_<16> × 6039088599068831748114461_<25> × 2301758566693739922539762779746120311824­9662502388680738607258133387102794008715­4579555293851089822885094561_<108> × [4349876787..._<1821>] (9.24%)

10²⁰⁰⁷+1 = 1000000000..._<2008> = 7 × 11 × 13 × 19 × 52579 × 108379 × 208729 × 1697477 × 6635143 × 5156432569_<10> × 9788817308832037247383_<22> × 30342571174416055157303235536809_<32> × 1966032824334071843648738236716922141567­459089390154109618864643162638011_<73> × 2530932231709740427780783573710212979327­7608545288591963388932694573150696796738­6342851064208779696417921593338374442943­683661653_<129> × [1098901098..._<445>] × [4686580139..._<1267>] (14.76%)

10²⁰⁰⁸+1 = 1000000000..._<2009> = 17 × 5882353 × 144261921121729_<15> × [6931836081..._<1986>] (1.10%)

10²⁰⁰⁹+1 = 1000000000..._<2010> = 11 × 197 × 4019 × 909091 × 9295490317_<10> × 257737121251_<12> × 19214818177409_<14> × 2670502781396266997_<19> × 3404193829806058997303_<22> × 5076141624365532994918781726395939035533_<40> × 5724747847..._<227> × [1038562796..._<1656>] (17.62%)

10²⁰¹⁰+1 = 1000000000..._<2011> = 61 × 101 × 269 × 3541 × 4021 × 9901 × 24121 × 27961 × 1963369 × 4188901 × 39526741 × 260587121 × 10076053621_<11> × 36633267373561_<14> × 99908656408081_<14> × 213172394349469_<15> × 28120888763986481_<17> × 741560771027460361_<18> × 94927228208573594069_<20> × 1395068152979602616341_<22> × 411108592242640071999067201_<27> × 2302527353565357450759725122262880394277­261_<43> × 1607103056527759457698658255252179917706­5559188277159741_<56> × 2724793634966652364625335678635927602947­729873812054161996498021_<64> × 5995443157660664523926782792125621452979­75293811672567632442645781_<66> × 1728698150280068137198270521277194937031­0989327074660585067951779767723632131638­6395986569089804728615411297606100943444­6365564534720661_<136> × 5869910682..._<217> × 1272961120..._<234> × [1556474887..._<475>] × [6906107531..._<515>] (50.79%)

10²⁰¹¹+1 = 1000000000..._<2012> = 11 × 24220872147369299_<17> × [3753336806..._<1994>] (0.87%)

10²⁰¹²+1 = 1000000000..._<2013> = 73 × 137 × 52313 × 3466233361_<10> × 671993811416332376336511771193_<30> × [8205855689..._<1964>] (2.39%)

10²⁰¹³+1 = 1000000000..._<2014> = 7 × 11² × 13 × 23 × 367 × 4093 × 8053 × 8779 × 81131 × 10334743 × 51745081 × 599144041 × 183411838171_<12> × 40498340376691_<14> × 80378537928632188367_<20> × 4293674404051268505730897152041702807799­0465463_<47> × 3327799391606549896523481221243658725565­6671587921_<50> × 1120522253011683685532152825789043757514­5023592596037161_<56> × [1368524519..._<581>] × [1093412443..._<1190>] (12.11%)

10²⁰¹⁴+1 = 1000000000..._<2015> = 101 × 1061 × 5051749 × 722817036322379041_<18> × 1369778187490592461_<19> × 245391150214875249502685807421982149521_<39> × 7527704835280872962667987585290144803454­0173569840168229_<56> × [1009999999..._<1873>] (7.05%)

10²⁰¹⁵+1 = 1000000000..._<2016> = 11 × 131 × 859 × 9091 × 11161 × 195886211 × 1058313049_<10> × 22787296481_<11> × 45029785321_<11> × 3925963357681_<13> × 5167617497664851_<16> × 909090909090909090909090909091_<30> × 35065183927133465514193983196961_<32> × 8396862596258693901610602298557167100076­327481_<46> × 4857900688365130469291831549890842547443­9173769354062250546461438565798929702369­11030721_<88> × [1601447471..._<321>] × [8859699224..._<1419>] (13.69%)

10²⁰¹⁶+1 = 1000000000..._<2017> = 193 × 577 × 769 × 12097 × 19841 × 205633 × 976193 × 1342657 × 2140993 × 4546753 × 6187457 × 10418689 × 317752351489_<12> × 303778646805313_<15> × 834427406578561_<15> × 1253224535459902849_<19> × 152928103893304997144442241_<27> × 417067672004431016027567793820801_<33> × 707285850117624346067550937755073_<33> × 1466242627909963541642846554503169_<34> × 5376349118996722135857554610727903470969­7_<41> × 3389990665995333265366836872252020333482­3365489863977354562285338205973067991737­9334653083474195264505829365637578634110­6265537_<127> × 5454254688947363287683007582959957955687­7428501805560638197790719877643207587229­1901238475752871142202298332796782100563­3305513155176634315060424546674322713747­588377841693274817_<178> × 5214609962..._<326> × [8311176875..._<1101>] (45.39%)

10²⁰¹⁷+1 = 1000000000..._<2018> = 11 × 80681 × 5058637 × 2311391715047_<13> × 16312925451211_<14> × 148445520337769_<15> × 45764260260272632237_<20> × [8695680599..._<1945>] (3.57%)

10²⁰¹⁸+1 = 1000000000..._<2019> = 101 × 12109 × [8176554710..._<2012>] (0.30%)

10²⁰¹⁹+1 = 1000000000..._<2020> = 7 × 11 × 13 × 2693 × 36343 × 847451023 × 53120389367_<11> × 2418135902717_<13> × 1982160256400708939410214263_<28> × [1325837329..._<619>] × [3567986687..._<1331>] (3.48%)

10²⁰²⁰+1 = 1000000000..._<2021> = 73 × 137 × 1074641 × 1676321 × 408815681 × 712421681 × 2519069281_<10> × 5964848081_<10> × 2631727693841_<13> × 10583998483915493463601_<23> × 278710178518122629663521331318131201_<36> × [9999000099..._<400>] × [1633923379..._<1498>] (6.08%)

10²⁰²¹+1 = 1000000000..._<2022> = 11 × 6299 × 37602727 × 57009401 × 2182600451_<10> × 1172644955303_<13> × 4855067598095567_<16> × 1624393053107105478863_<22> × 7306116556571817748755241_<25> × 297262705009139006771611927_<27> × [1535732872..._<1892>] (6.42%)

10²⁰²²+1 = 1000000000..._<2023> = 101 × 8089 × 9901 × 5938136708249_<13> × 31275833988360461_<17> × 500886356409960490141_<21> × 67079887303595804787649681_<26> × 27059960733094256545658977321_<29> × [1315786716..._<619>] × [5564183616..._<1290>] (5.64%)

10²⁰²³+1 = 1000000000..._<2024> = 11 × 103 × 4013 × 8093 × 909091 × 511438099 × 1868879293_<10> × 21993833369_<11> × 587063793048979091_<18> × 5673320472670315859129_<22> × 42323992639419349049079264521_<29> × 1037466478304215512424864306226369010022­36971549990724717454338463_<66> × 1136558791710654899629429576107642694020­211020408036719308522808314581197380973_<79> × 6923777301528230940787780295400313221683­7931499487471683017546895556923961389690­1051476486900230773676279104245977387969­9664648964996271733_<139> × [1235635734..._<1629>] (19.52%)

10²⁰²⁴+1 = 1000000000..._<2025> = 17 × 5882353 × 10100113 × 1261547057_<10> × 218524201166171139219321617_<27> × 1205530548914055885457278225432810661628­03459003848166118314367809_<66> × 9900879227786858424257223656804730798555­422102713108259184822982673560177_<73> × 8295102856587101112151219663083514451877­4133555852877567503980614227065994320281­8322753067885238020768017585089_<111> × [3627413026..._<1725>] (14.79%)

10²⁰²⁵+1 = 1000000000..._<2026> = 7 × 11 × 13 × 19 × 211 × 241 × 251 × 811 × 1459 × 2161 × 4051 × 5051 × 6481 × 9091 × 29611 × 52579 × 270001 × 371251 × 1931851 × 3762091 × 70541929 × 2458921051_<10> × 14175966169_<11> × 213872067091_<12> × 577603663291_<12> × 8985695684401_<13> × 31023833790241_<14> × 78875943472201_<14> × 71764372708675651_<17> × 456502382570032651_<18> × 610600386089858349939139_<24> × 115690846857912397278375911371_<30> × 1000009999999998999989999900000000010000­1_<41> × 8610583349234340055547908764091017276717­091_<43> × 1377206548249672561974389193550868011092­0779677692987735503476415888170706078656­81921_<85> × 3618486858661907554721447497991672856747­4724193812138011846129157788970353909164­911894611_<89> × 3703689986333387654119799556297939637260­6027348046859085707052936840974663019766­59345706127014344391317072899730001_<115> × [2693595438..._<355>] × [1780554358..._<1054>] (30.48%)

10²⁰²⁶+1 = 1000000000..._<2027> = 101 × 158029 × 2830992581689_<13> × 32139764106711281_<17> × [6885895349..._<1990>] (1.78%)

10²⁰²⁷+1 = 1000000000..._<2028> = 11 × 680796329 × 16449075823228219_<17> × 3840557516666373619_<19> × [2113753469..._<1983>] (2.20%)

10²⁰²⁸+1 = 1000000000..._<2029> = 73 × 137 × 313 × 4057 × 28393 × 152777 × 190633 × 1101673 × 1580801 × 99990001 × 37357747738793_<14> × 127184409052793_<15> × 183187794354414929_<18> × 1358074433371719716641_<22> × 291593563046646669491593_<24> × 14365079587241523025573488668713_<32> × 70299582392905445997961959643489_<32> × 6325274402021507450906224122454439230492­01_<42> × 7323941687838105624847742701467683590147­273_<43> × [3767618315..._<538>] × [9000960863..._<1208>] (13.93%)

10²⁰²⁹+1 = 1000000000..._<2030> = 11 × 109567 × 594457239016215094567010503_<27> × [1395747710..._<1997>] (1.62%)

10²⁰³⁰+1 = 1000000000..._<2031> = 29² × 101 × 281 × 349 × 421 × 3541 × 11369 × 27961 × 38861 × 68209 × 618049 × 2582161 × 3471301 × 5005981 × 13489841 × 121499449 × 60368344121_<11> × 27690838620061_<14> × 117513682863781_<15> × 512592628798218592009_<21> × 848654483879497562821_<21> × 1767955366388381478541_<22> × 14087942679857610940613213182901_<32> × 396096831570425720680992129087061_<33> × 618332557258791533720221794227287741_<36> × 1181180637520183640867963573625866958318­7541_<44> × 2004594328563924403139229874961691116225­4803611180129676814249196577825262970771­61_<82> × 2022907403453455435045739409943184658625­1136936003634971287976573977944682716320­34457525101_<91> × [2212002950..._<273>] × [4127092593..._<616>] × [9223913877..._<652>] (24.14%)

10²⁰³¹+1 = 1000000000..._<2032> = 7 × 11 × 13 × 16249 × 24373 × 629611 × 1620739 × 40215202479188743_<17> × 1288273728898354139_<19> × 1373109878288117159960471296998025386367_<40> × [3162767257..._<615>] × [1098686959..._<1320>] (4.80%)

10²⁰³²+1 = 1000000000..._<2033> = 353 × 449 × 641 × 1409 × 69857 × 487681 × 238069121 × 896605378941211086401_<21> × [9606379860..._<1981>] (2.51%)

10²⁰³³+1 = 1000000000..._<2034> = 11 × 1499 × 28463 × 74687 × 392263 × 795653 × 51160368729973_<14> × 286992818389601_<15> × 909090909090909091_<18> × 28901898237947700554025014807_<29> × 9140689231828972552925524522037823147045­9375713794943226862262823522886708019884­51_<82> × [2592158912..._<1852>] (8.93%)

10²⁰³⁴+1 = 1000000000..._<2035> = 101 × 6781 × 9901 × 20341 × 52743988481_<11> × 999999000001_<12> × 132305743681936841_<18> × 4097628225636876001_<19> × 6255455776531751728208586104565529443495­5453111717816503072219942390838369658841_<80> × 2268130307978157311977782566456392657185­5645918465184155257916165140613107752464­0644151258260029762686434793845331341_<117> × [1489454343..._<445>] × [1199763324..._<1322>] (13.21%)

10²⁰³⁵+1 = 1000000000..._<2036> = 11² × 23 × 331 × 4093 × 5171 × 7253 × 8779 × 9091 × 12211 × 240131 × 6039881 × 20163494891_<11> × 33400699201_<11> × 409038414731_<12> × 422650073734453_<15> × 49173925574833481_<17> × 296557347313446299_<18> × 318727841165674579776721_<24> × 84713181371149698699040859437321_<32> × 219750014263062386251162088588835607771_<39> × 2236935504439282957619836393526121214605­1995578845131526611800779453430519897692­8924538425776038404154454146973428926799­68594131_<128> × [1444603573..._<279>] × [1536838588..._<1414>] (16.89%)

10²⁰³⁶+1 = 1000000000..._<2037> = 73 × 137 × 4073 × 39620561 × 2169736697_<10> × [2855712665..._<2012>] (1.21%)

10²⁰³⁷+1 = 1000000000..._<2038> = 7² × 11 × 13 × 127 × 2689 × 459691 × 909091 × 1935871099_<10> × 220022910900703_<15> × 268153090361731_<15> × 102527361354613106010527_<24> × 569893955922017649838601407_<27> × 1850905383730046591101045759687_<31> × 323338434891034089173475790125293_<33> × 2742269936605462168329562307947106658888­1_<41> × 1209932983651298761631732103023280632931­43_<42> × 9082330292251962304688193151167683450110­1361795433685463732751578239819170875604­9259224485047609714729365430665450971254­1945987920778472370936173919077_<151> × [3718256519..._<526>] × [2234546059..._<1108>] (19.84%)

10²⁰³⁸+1 = 1000000000..._<2039> = 101 × 25650269 × 975094961584864121_<18> × 5917737408786164921_<19> × [6689352773..._<1992>] (2.27%)

10²⁰³⁹+1 = 1000000000..._<2040> = 11 × 42733996617867198169_<20> × [2127324802..._<2019>] (1.01%)

10²⁰⁴⁰+1 = 1000000000..._<2041> = 17² × 54673 × 5070721 × 5882353 × 72547841 × 1132716961_<10> × 5637065089_<10> × 13355595217_<11> × 17319002076001_<14> × 174323368765921_<15> × 417090345288481_<15> × 9999999900000001_<16> × 325944528033956870561_<21> × 3031447252741466336597441_<25> × 19721061166646717498359681_<26> × 281259985248437790051014401_<27> × 31388506438433752927908678241_<29> × 1516395051122929541850783680941040161_<37> × 4404410875574787768521718346256386184129­4905937408483757953142563366126920380374­1415744566525108430933975383194546209_<117> × 3178246571075235723080972275640135632212­4363189689680294665332492640481157548317­36073020454216579035062833710671458881_<118> × 1020907660793056991392207062249442809067­1480292064954172591269153271836953190308­6828016478179513102970945488589674199626­33393_<125> × [5277324907..._<409>] × [1384353472..._<997>] (31.13%)

10²⁰⁴¹+1 = 1000000000..._<2042> = 11 × 859 × 4397 × 73477 × 583727 × 3641773 × 1058313049_<10> × 24847037583161_<14> × 281711192047033009_<18> × 5677249457541767920914361261393637170284­2084190817259161711159777577563483338093­8944473350289057242141068395451138705476­43014663862360146330362411_<146> × [3663977254..._<1831>] (10.31%)

10²⁰⁴²+1 = 1000000000..._<2043> = 101 × 2655866041_<10> × [3727970442..._<2031>] (0.56%)

10²⁰⁴³+1 = 1000000000..._<2044> = 7 × 11 × 13 × 19 × 52579 × 36346333 × 7652709230329_<13> × 3861904074787001_<16> × 7036296586744962637_<19> × 6476572499..._<203> × [1098901098..._<453>] × [1858980043..._<1325>] (13.05%)

10²⁰⁴⁴+1 = 1000000000..._<2045> = 73² × 137 × 1753 × 7841 × 36793 × 468953 × 31395841 × 137548937 × 127522001020150503761_<21> × 162393769017609303761_<21> × 120458784794236800616285673_<27> × 9722345620277187789066356828913697172866­35199884272325005809_<60> × 1499916515585961882150872392293911771417­4412730158634078875737296006185810419004­608104019977_<92> × 7035824104334249358887740710881970075945­2911094693221530830269202458246111885732­49681116336645956647224241_<106> × [5225289894..._<1682>] (17.72%)

10²⁰⁴⁵+1 = 1000000000..._<2046> = 11 × 4091 × 9091 × 53171 × 18601321 × 31661908159577184611_<20> × 86626333310030790682115011_<26> × 1358791302758702868906124409_<28> × 8990933218232263717426741276678007309187­4834080069255427757_<59> × 1399506617..._<318> × [5270211671..._<1576>] (22.95%)

10²⁰⁴⁶+1 = 1000000000..._<2047> = 89 × 101 × 5209 × 9901 × 2049349 × 3969241 × 183276589 × 1052788969_<10> × 1056689261_<10> × 5419170769_<10> × 57283461787861_<14> × 789390798020221_<15> × 2361000305507449_<16> × 5694051098461516747661_<22> × 82154200322378494269088725509_<29> × 139716865184144864008269344660199946429_<39> × 4831285495545122373055545883590398223973­07149685578249_<54> × 1387770812537486172424567765413032718466­560432631753219117445147282909788805041_<79> × [2056524992..._<528>] × [2494431555..._<1194>] (15.90%)

10²⁰⁴⁷+1 = 1000000000..._<2048> = 11 × 47 × 139 × 179 × 2531 × 73693 × 3560871533213_<13> × 549797184491917_<15> × 12147237304901893_<17> × 4180967272673252032291190917188955510245­874180001164839931077197586653_<70> × [4191892556..._<1919>] (6.27%)

10²⁰⁴⁸+1 = 1000000000..._<2049> = 106907803649_<12> × 3835256936681473_<16> × 9027276203313319937_<19> × 969220351349023606432543884535631873_<36> × [2787512819..._<1967>] (3.98%)

10²⁰⁴⁹+1 = 1000000000..._<2050> = 7 × 11 × 13 × 1367 × 4099 × 405703 × 6399619427371_<13> × [6650262685..._<679>] × [1032567192..._<1343>] (1.37%)

10²⁰⁵⁰+1 = 1000000000..._<2051> = 101 × 821 × 3541 × 27961 × 60101 × 68389 × 639601 × 7019801 × 59090021 × 107743901 × 141376201 × 568747901 × 11036695406441_<14> × 14103673319201_<14> × 1680588011350901_<16> × 1073380218518144441_<19> × 1266925593264677597290950641_<28> × 1350059351915828990550200161_<28> × 614939742141873776083575656007497578501_<39> × 1390746719040117784739843667585275241217­92121_<45> × 3061973722987905774729667496411417875958­731844861_<49> × 1447745997018511893740076606031686237538­345362413531560645573104006506749609_<76> × 3772322547793638325666578485954787003249­3061983039590628163343261024239999542518­2118630038629742647815490833575187477845­254601_<126> × 1524465857..._<754> × [1231291627..._<784>] (61.80%)

10²⁰⁵¹+1 = 1000000000..._<2052> = 11 × 53327 × 566077 × 909091 × 48313357 × 1789099607_<10> × 9090909090..._<292> × [4215685891..._<1725>] (15.91%)

10²⁰⁵²+1 = 1000000000..._<2053> = 73 × 137 × 457 × 3169 × 8209 × 27817 × 77977 × 98641 × 1403417 × 99990001 × 376102873 × 36120612721_<11> × 3199044596370769_<16> × 5240808656722481737_<19> × 2717962829681813765353_<22> × 13591271120229398317886003161009_<32> × 1726290008991504500177463302688697_<34> × 579276943498154282123686999881829009033_<39> × 2974783307863656284148053052903024835550­43017_<45> × 1947203319137605460749061613759302679230­7169586329967874918737775454375796284178­5054377649_<90> × [4718347949..._<406>] × 1218175173..._<1293> (80.23%)

10²⁰⁵³+1 = 1000000000..._<2054> = 11 × 16235622114953027659_<20> × [5599359868..._<2033>] (0.99%)

10²⁰⁵⁴+1 = 1000000000..._<2055> = 101 × 521 × 5689 × 352120136681_<12> × 7071655332326729_<16> × 1900381976777332243781_<22> × 507998564486483655774880939989709_<33> × 6463019629164534923253835672539917600836­17720844121_<51> × 5300840448377912032674189587344789058928­62260111193658629289735929681_<69> × [4056107220..._<1845>] (10.19%)

10²⁰⁵⁵+1 = 1000000000..._<2056> = 7 × 11 × 13 × 211 × 241 × 823 × 2161 × 9091 × 28771 × 364393423 × 13546296961_<11> × 117651465889_<12> × 222884971201_<12> × 2491158127891_<13> × 441651480271681_<15> × 676321006412903_<15> × 533823991710350917_<18> × 36497963117203265504917_<23> × 218801242136856556680173235529_<30> × 2486054981025256563094860861395446629778­93_<42> × 1352382306313219449249741838100919048668­09004766932500659_<57> × 3244569580634956101009646791013296826459­859399717968478099_<58> × 2038364498600905942232898988015372216877­4862359936646058908806309888853141771168­6527248294546247282437382306667288672207­557471524899_<132> × [1266286589..._<519>] × [3652955987..._<1076>] (22.45%)

10²⁰⁵⁶+1 = 1000000000..._<2057> = 17 × 45233 × 5882353 × 13655953 × [1618909567..._<2037>] (0.96%)

10²⁰⁵⁷+1 = 1000000000..._<2058> = 11³ × 23 × 103 × 4013 × 4093 × 4357 × 8779 × 12343 × 25169 × 192611 × 1485397 × 21993833369_<11> × 177775862969_<12> × 1284680342573_<13> × 288070990680554533_<18> × 6315203673292075607_<19> × 125797399492676917721_<21> × 102502981431359171598893_<24> × 423816243222182164658813939_<27> × 5444710013725792963322916526756467746442­08265246405598834086237345292487_<72> × 5595739587235982076965843552888948227782­6574998014018514928782197341726428854387­236670658714503098749571_<104> × [3732753848..._<1701>] (17.33%)

10²⁰⁵⁸+1 = 1000000000..._<2059> = 29 × 101 × 281 × 9901 × 226549 × 121499449 × 33472513460401_<14> × 4458192223320340849_<19> × 19724282640618577514664673690602927661_<38> × 2374210228947235142310460558271832939956­0972065457968561934785062599221_<71> × 9999999999999900000000000000999999999999­9900000000000000999999999999990000000000­0001_<84> × 4211926929669690057191123321028486011918­1841417224327914548495484369630946481330­639729038447921181_<98> × [9999999999..._<588>] × [1514643613..._<1126>] (16.76%)

10²⁰⁵⁹+1 = 1000000000..._<2060> = 11 × 59 × 8237 × 290249 × 3172586595041_<13> × 154083204930662557781201849_<27> × 5126215301698730702342306263_<28> × 3132106946418106835541520932340538954170­6979493156189716729115659_<65> × [8211325945..._<1916>] (6.95%)

10²⁰⁶⁰+1 = 1000000000..._<2061> = 73 × 137 × 669913 × 1676321 × 4345108561_<10> × 5964848081_<10> × 38450569246994805922293218161_<29> × 1147321101737455681617391114217663625751­0145503232608049_<56> × [3383377151..._<319>] × [2301668614..._<1623>] (5.78%)

10²⁰⁶¹+1 = 1000000000..._<2062> = 7 × 11 × 13 × 19 × 52579 × 931573 × 7447081 × 366977539 × 68677493407257949129_<20> × 2317091604522004723965449_<25> × 14333485763997084637130491135368291169_<38> × 2212236817374327109435022561220753426295­7_<41> × 1327080770360051827311085848069503304359­5534787235597140531_<59> × 1336395914067475494619360928220680511145­1988579353305502489853541907429637950525­53003443246310484435548877_<106> × [1029486629..._<413>] × [4263470520..._<1334>] (15.30%)

10²⁰⁶²+1 = 1000000000..._<2063> = 101 × 229964882416767839952502442499721_<33> × [4305435679..._<2028>] (1.67%)

10²⁰⁶³+1 = 1000000000..._<2064> = 11 × 4127 × 742681 × [2965995805..._<2053>] (0.51%)

10²⁰⁶⁴+1 = 1000000000..._<2065> = 97 × 353 × 449 × 641 × 1409 × 69857 × 206209 × 561409 × 248776673 × 66554101249_<11> × 1815275379329_<13> × 16330640885569_<14> × 75118313082913_<14> × 6992505952017481631182177_<25> × [1355952881..._<639>] × [2547345099..._<1314>] (5.45%)

10²⁰⁶⁵+1 = 1000000000..._<2066> = 11 × 1889 × 9091 × 909091 × 3821903 × 4147571 × 265212793249617641_<18> × 2242483881161926921_<19> × 1090805842068098677837_<22> × 2353867026803341982771_<22> × 25602601418102182972721_<23> × 57064640481098970747091_<23> × 193428272579096534429098931_<27> × 803454205095303821868753731_<27> × 4411922770996074109644535362851087_<34> × 1174468140649914584097264138153408637853­2210829572393992750466905235565987680343­7428443621873715949570886149892572665998­3288086179744161_<136> × [2878147064..._<342>] × [7104201739..._<1351>] (18.05%)

10²⁰⁶⁶+1 = 1000000000..._<2067> = 101 × 19386795617489_<14> × 155640839781881_<15> × 2810130567305576905370092905841_<31> × [1167676473..._<2007>] (2.90%)

10²⁰⁶⁷+1 = 1000000000..._<2068> = 7 × 11 × 13² × 157 × 859 × 3499 × 6397 × 216451 × 227371 × 2784091 × 299090767 × 1058313049_<10> × 388847808493_<12> × 26579875017931_<14> × 54137839415767_<14> × 107903069457446819028409_<24> × 917813298871770308465539_<24> × 26526333976234009593263527_<26> × 8558521377558885170560719135529_<31> × 9090909090909090909090909090909090909090­909090909091_<52> × [1099999999..._<625>] × [4665697527..._<1198>] (11.87%)

10²⁰⁶⁸+1 = 1000000000..._<2069> = 73 × 137 × 617 × 70313 × 79337 × 485041 × 118710721 × 6578404633_<10> × 3399328015249_<13> × 169905327561162104198557246291921_<33> × 16205834846012967584927082656402106953_<38> × 2785153893179118281358593228549059682062­3900747164894668499167046712090201879423­948069199442816537475115348268729799177_<119> × [2942052062..._<1828>] (11.63%)

10²⁰⁶⁹+1 = 1000000000..._<2070> = 11 × 4139 × 252419 × [8701414287..._<2059>] (0.49%)

10²⁰⁷⁰+1 = 1000000000..._<2071> = 61 × 101 × 181 × 461 × 829 × 1289 × 1381 × 3541 × 4969 × 9661 × 9901 × 27961 × 111781 × 194581 × 509681 × 1569889 × 4188901 × 39526741 × 93744372901_<11> × 999999000001_<12> × 4107757827661_<13> × 18371524594609_<14> × 6193371433274461_<16> × 6563121116134321_<16> × 536430531035337769_<18> × 8225357978845859081_<19> × 439120676164610394481_<21> × 757108543129939106221_<21> × 4999437541453012143121_<22> × 63691382029918881694921_<23> × 1105097795002994798105101_<25> × 59483540558994759763795801_<26> × 316699822269639096888937801_<27> × 4181003300071669867932658901_<28> × 354969305477178480614478251861_<30> × 114061789660900413328637822705950861_<36> × 53836677179343252802536411876638569921_<38> × 73137716939443396538710479664316724061_<38> × 1910846617679140068129270917199256656502­9_<41> × 1088692523027573678098234350084974616005­410140417841_<52> × 8706477230774434247302401224903949603507­73424147330153671641266669332491181_<75> × 2042423515489252518936332647739470679860­8831748829358027577255873270702116509311­3635856162801_<93> × 1800376962..._<256> × [8653452781..._<507>] × [9048972901..._<528>] (50.01%)

10²⁰⁷¹+1 = 1000000000..._<2072> = 11 × 13840564569619_<14> × 3338786746233023_<16> × 909090909090909091_<18> × 14060959683864286267405933000927102019_<38> × 1936438332114871929518057885332574185585­8987848620134943_<56> × [7947652673..._<1931>] (6.76%)

10²⁰⁷²+1 = 1000000000..._<2073> = 17 × 113 × 593 × 12433 × 5882353 × 14048161 × 449271663137025121_<18> × 73765755896403138401_<20> × 119968369144846370226083377_<27> × 1686340623..._<286> × [1274370083..._<1700>] (18.00%)

10²⁰⁷³+1 = 1000000000..._<2074> = 7 × 11 × 13 × 20731 × 2714249 × 21393892529359947893_<20> × 11007981173468439545767_<23> × 26578194229497643738821679856668807_<35> × [5350996532..._<608>] × [5300762620..._<1376>] (4.32%)

10²⁰⁷⁴+1 = 1000000000..._<2075> = 101 × 1587221 × 28559389 × 1491383821_<10> × 3476189921_<10> × 81183810541_<11> × 1299594596341421_<16> × 2324557465671829_<16> × 1014441626560371517458785583858927535968­49_<42> × 7574338876826097411632784892018433752805­9461788181539337429709_<62> × [2235681745..._<1896>] (8.61%)

10²⁰⁷⁵+1 = 1000000000..._<2076> = 11 × 167 × 251 × 997 × 5051 × 9091 × 116201 × 3565183 × 374425451 × 878036251 × 2097307081_<10> × 2293837801_<10> × 78875943472201_<14> × 7742098247001476863_<19> × 1116561512383357283177155008001_<31> × 1668543697666959092921367368399753732796­41_<42> × 3392539888268932063533604336256571161282­81_<42> × 9431769031413300684826029009602942998788­41_<42> × [4466327524..._<232>] × [4446789147..._<1592>] (12.13%)

10²⁰⁷⁶+1 = 1000000000..._<2077> = 73 × 137 × 4153 × 99990001 × 3874978561_<10> × 37491245201_<11> × 8094332694001513_<16> × 80776359618184961_<17> × 28617637061173477921_<20> × [3301736653..._<661>] × [2682856042..._<1328>] (4.24%)

10²⁰⁷⁷+1 = 1000000000..._<2078> = 11 × 20771 × 818339 × 1129889 × 43248598357_<11> × 909090909090909090909090909091_<30> × 9090909090909090909090909090909090909090­90909090909090909090909091_<66> × [1324323887..._<1954>] (5.96%)

10²⁰⁷⁸+1 = 1000000000..._<2079> = 101 × 1291327642671538322496014167476298317884­9_<41> × [7667295093..._<2036>] (2.03%)

10²⁰⁷⁹+1 = 1000000000..._<2080> = 7² × 11² × 13 × 19 × 23 × 127 × 379 × 463 × 2689 × 4093 × 7129 × 8317 × 8779 × 24179 × 52579 × 459691 × 590437 × 644491 × 648649 × 909091 × 5274739 × 7444361 × 70541929 × 298719037 × 599144041 × 7093127053_<10> × 14175966169_<11> × 183411838171_<12> × 659164043539_<12> × 167940794674423_<15> × 4539402627853030477_<19> × 8642670625016390971_<19> × 4924630160315726207887_<22> × 136094982876222218559943_<24> × 8927244623941181398233253_<25> × 189772422673235585874485732659_<30> × 1866763546567680996103417376059_<31> × 1992239470584165788605948879953926371_<37> × 63060936944326674212591995662102125143_<38> × 4841193139246416682912992055944726358563­520908223_<49> × 1411225248778861822822335393177961449383­05111168717_<51> × 1129703083824398594017269473417407045549­51737408511354573_<57> × 7450755712209696453100606651478898442343­8931950911932421947947339_<65> × 8039566261499250311127571481921649700572­0848358970463128898412464716963453686123­6854805849361_<93> × [4603184964..._<304>] × [7880009350..._<1054>] (34.70%)

10²⁰⁸⁰+1 = 1000000000..._<2081> = 3329 × 19841 × 976193 × 1306241 × 6187457 × 6314881 × 9013889 × 580433318401_<12> × 84612439325441_<14> × 834427406578561_<15> × 17678143277867879639053562401217_<32> × 9999999999999999999999999999999900000000­0000000000000000000000009999999999999999­9999999999999999000000000000000000000000­00000001_<128> × [2985191378..._<336>] × [1558799073..._<1505>] (11.55%)

10²⁰⁸¹+1 = 1000000000..._<2082> = 11 × 129023 × 4436693 × [1588110805..._<2069>] (0.62%)

10²⁰⁸²+1 = 1000000000..._<2083> = 101 × 9901 × 15269 × 49426681 × 338134038961_<12> × 19781941587245859018154654153249_<32> × [6484373632..._<688>] × [3054932956..._<1334>] (2.92%)

10²⁰⁸³+1 = 1000000000..._<2084> = 11 × 5082521 × 8644451 × 368890969 × 14138383833678383791531_<23> × [3967280660..._<2038>] (2.18%)

10²⁰⁸⁴+1 = 1000000000..._<2085> = 73 × 137 × 22032327257_<11> × 828666564715258461215590289_<27> × [5476667601..._<2043>] (1.98%)

10²⁰⁸⁵+1 = 1000000000..._<2086> = 7 × 11 × 13 × 211 × 241 × 557 × 2161 × 2503 × 9091 × 66721 × 12797731 × 226114511710447388251_<21> × 1036412737512256032518509357_<28> × 14572843015599488197037677669601442481_<38> × 8419113429584745908849632390995169042529­6390505413654926185730285872463_<71> × 6520655709313341698465187621108953571040­3595333062378353092332941289776570384185­9492780362601926814638167836591846272150­911969126521_<132> × 6752774406016845244274826163667530593282­3309390648327259608620272905373094176870­0572367639100644988622177902681645261849­12017881807211_<134> × [1648639858..._<548>] × [4024549743..._<1084>] (21.78%)

10²⁰⁸⁶+1 = 1000000000..._<2087> = 29 × 101 × 281 × 10729 × 37549 × 607921 × 121499449 × 136916416686052955621_<21> × 1246367109888271888132768540089063179396­3396331809714158641277443477408779299864­7883415860929015950835202718655751629188­29366361_<128> × 8895507508554837180752614096475159767380­8146087064792094397309434551286882432924­3742140819672454584022003887892748841995­5380770391177802169_<139> × [2689818636..._<1772>] (15.08%)

10²⁰⁸⁷+1 = 1000000000..._<2088> = 11 × 37567 × 475837 × 872797203419_<12> × [5826788376..._<2064>] (1.11%)

10²⁰⁸⁸+1 = 1000000000..._<2089> = 17 × 929 × 4177 × 5569 × 8929 × 23201 × 182353 × 4465073 × 5559649 × 5882353 × 1859034097_<10> × 64167731975377_<14> × 9999999900000001_<16> × 76989567928473187633_<20> × 1119946242580356142905139433307201254339­79169_<45> × 3114824318784041623490389014199610366824­348609_<46> × 4948797624251336428769758769452316283490­536687091682910619153_<61> × 3696603330750000688567094922124549915574­4897643777997943492126583399578160290634­4537626232976067313_<99> × [3229798381..._<438>] × [2606751293..._<1298>] (16.91%)

10²⁰⁸⁹+1 = 1000000000..._<2090> = 11 × 83561 × 209743957 × 1598232232721_<13> × 3245445674..._<2063> (100.00%)

10²⁰⁹⁰+1 = 1000000000..._<2091> = 89 × 101 × 661 × 761 × 1901 × 3041 × 3541 × 12541 × 18041 × 27961 × 41801 × 74861 × 148721 × 1354321 × 388079561 × 417332341 × 1052788969_<10> × 1056689261_<10> × 1121407321_<10> × 346589878855462661_<18> × 722817036322379041_<18> × 1369778187490592461_<19> × 3041192204266706929561_<22> × 1395900370916327245555441901_<28> × 780548018657747948342675331841_<30> × 36380545029953205956377406702261_<32> × 4581921817207406357730186303139529968338­01_<42> × 2054722677878217012053943008368973039472­7567536361_<50> × 7944943878..._<334> × [1549998065..._<684>] × [2796127963..._<721>] (32.84%)

10²⁰⁹¹+1 = 1000000000..._<2092> = 7 × 11 × 13 × 103 × 739 × 4013 × 148339 × 16419517 × 21993833369_<11> × 291078844423_<12> × 184952466900411703_<18> × 2670502781396266997_<19> × 377526955309799110357_<21> × 3404193829806058997303_<22> × 6730074605536962252721_<22> × 4204602490092321619678858043131_<31> × 165525666279467793827703089744624213_<36> × 6105179603552296927117127487655417850454­4683763248923853725596423_<65> × [3593082690..._<588>] × [3215855829..._<1228>] (13.20%)

10²⁰⁹²+1 = 1000000000..._<2093> = 73 × 137 × 8369 × 37657 × [3172760474..._<2080>] (0.60%)

10²⁰⁹³+1 = 1000000000..._<2094> = 11 × 47 × 139 × 859 × 967 × 2531 × 909091 × 3968329 × 21705503 × 1058313049_<10> × 1569936761_<10> × 32494323733_<11> × 5046676603333_<13> × 549797184491917_<15> × 1203881882727712699967_<22> × 23391028206417273637358380573_<29> × 7775058388319250595762800404689_<31> × 3309383964775818489317002654646529291847_<40> × 1281657376897297354090423403366881099978­010686253604381263_<58> × 7569117043210563816993730850591392451422­8814615635050477687293_<62> × 5067838741170388910175912578529043989438­9920385627096501794498837_<65> × 3489538705139086365663259641191165613827­7584475667020313941336914546684355923986­2216107575333780861060309557540714055579­224966141897413_<135> × [4539355667..._<1565>] (25.24%)

10²⁰⁹⁴+1 = 1000000000..._<2095> = 101 × 9901 × 18149 × 54104497406801_<14> × [1008306480..._<679>] × [1009998990..._<1393>] (1.15%)

10²⁰⁹⁵+1 = 1000000000..._<2096> = 11 × 9091 × 1329753177464388901841_<22> × 7090831499216936060878833844687099890109­979_<43> × 1574200835907997335817135918163629758761­675764557540970547321_<61> × [8144229641..._<315>] × [8272129134..._<1651>] (6.17%)

10²⁰⁹⁶+1 = 1000000000..._<2097> = 353 × 449 × 641 × 1409 × 69857 × [9999999999..._<2080>] (0.76%)

10²⁰⁹⁷+1 = 1000000000..._<2098> = 7 × 11 × 13 × 19 × 52579 × 79687 × 552677 × 1309927 × 64264663 × 787932483841_<12> × 131293689927974865167_<21> × 22469589434122685267859016351677839053_<38> × 1104211639510104471092325504815084487468­17791459_<48> × 1134592082241812086025433183314893126820­7872250962261786909131335180907668227111­7469696149897954452324260422892067519437­0887660714303521711888923919224666398211_<160> × [3733501901..._<421>] × [2480763481..._<1368>] (14.74%)

10²⁰⁹⁸+1 = 1000000000..._<2099> = 101 × 20981 × [4719026785..._<2092>] (0.30%)

10²⁰⁹⁹+1 = 1000000000..._<2100> = 11 × 3089729 × 2352027751607928778059757_<25> × 965220747047393890044738973_<27> × [1296038299..._<2041>] (2.81%)

10²¹⁰⁰+1 = 1000000000..._<2101> = 73 × 137 × 401 × 1201 × 1601 × 2801 × 7841 × 32401 × 33601 × 134401 × 851761 × 1676321 × 99990001 × 575794801 × 1599581201_<10> × 5496338401_<10> × 5964848081_<10> × 11189053009_<11> × 507893248801_<12> × 179824257430154401_<18> × 603812429055411913_<18> × 5657636148160424401_<19> × 127522001020150503761_<21> × 148029423400750506553_<21> × 67501680066009758096678991121_<29> × 100009999999899989999000000010001_<33> × 4711806100010561082466291127577601_<34> × 4482637729513780747000872935673625025127­940754401_<49> × 1146780383632163283649175272843774050715­065531735480891145232027761_<67> × 1296944190290577505513857711845642744990­75700947656757821537291527196801_<72> × 1461236573124057038200579394128634953625­7260783370326347124974631092755601_<74> × 1669135122324312731403629879666418597315­0010984627894203679021159388463223622138­1121_<84> × 1174155661036370531158387153086358732085­7611583542802499879661077461752756934163­45665039841_<91> × 1323226585..._<425> × [1767522643..._<942>] (55.18%)