10³¹⁰¹+1 = 1000000000..._<3102> = 11 × 887 × 2659 × 909091 × 3646836465960880692292201915543408162476­049_<43> × [1056936920..._<394>] × [1099999890..._<2653>] (1.80%)

10³¹⁰²+1 = 1000000000..._<3103> = 89 × 101 × 1129 × 2069 × 9901 × 12409 × 45121 × 7817041 × 40307389 × 46325269 × 1052788969_<10> × 1056689261_<10> × 5419170769_<10> × 789390798020221_<15> × 2361000305507449_<16> × 3792128943527581_<16> × 10552000464646380283016441_<26> × 47262742054849858774670788301_<29> × 2246285860430986548506215527001_<31> × 2144906157509411684424913774078958939881_<40> × 1023037643093214557651333120422980213172­396059301_<49> × 4416594546258097201926470552762575286378­32621638030289_<54> × 2377887731204762925852743951147119066491­6585162920869352217582651463222567423724­41_<82> × [5242090933..._<848>] × [1020704163..._<1830>] (13.71%)

10³¹⁰³+1 = 1000000000..._<3104> = 11 × 59 × 1499 × 12413 × 28463 × 74687 × 392263 × 795653 × 31817206277_<11> × 154083204930662557781201849_<27> × 9140689231828972552925524522037823147045­9375713794943226862262823522886708019884­51_<82> × [2785183965..._<2954>] (4.82%)

10³¹⁰⁴+1 = 1000000000..._<3105> = 19841 × 428353 × 782209 × 976193 × 6187457 × 15203393 × 834427406578561_<15> × 2810895759475841_<16> × [6983773026..._<3038>] (2.13%)

10³¹⁰⁵+1 = 1000000000..._<3106> = 7 × 11 × 13 × 19 × 47 × 139 × 211 × 241 × 691 × 2161 × 2531 × 6211 × 6481 × 9091 × 29611 × 31051 × 52579 × 155251 × 1372411 × 3762091 × 11313931 × 30602881 × 70541929 × 138276001 × 14175966169_<11> × 37916801893_<11> × 64454533921_<11> × 74378092807_<11> × 127688571001_<12> × 194656286401_<12> × 577603663291_<12> × 8985695684401_<13> × 31023833790241_<14> × 143574021480139_<15> × 201548060483167_<15> × 549797184491917_<15> × 90333198282079891_<17> × 143409436964525899_<18> × 955338588767195458291_<21> × 831759677425747570837717_<24> × 2414667616251762189340783_<25> × 24649445347649059192745899_<26> × 139138587366910292036460961_<27> × 7452208606098951380132935380091_<31> × 117680633072620952134930832292859_<33> × 8610583349234340055547908764091017276717­091_<43> × 7386441591567953769105190285927615814299­177561_<46> × 1880709802856952955373413305337158032187­793270681_<49> × 1591879884384947756889998393793196655587­7132981347465830696251648192619376266439­940521_<86> × 4381032561373952229810899174127764174713­7547565878057174130075470872858289958280­148759277150273598401_<101> × 2762606195..._<347> × [4384121933..._<450>] × [7055101640..._<1526>] (36.38%)

10³¹⁰⁶+1 = 1000000000..._<3107> = 101 × 869335389301_<12> × [1138914879..._<3093>] (0.45%)

10³¹⁰⁷+1 = 1000000000..._<3108> = 11 × 859 × 1058313049_<10> × 508399838327574001_<18> × 48091594451421524838823_<23> × 2846390188891241030645451773087716881978­563746547069042984813032147999326242449_<79> × 6282138071505210318841228543562283508437­5696198844381770006528017966159354889557­7774743119827923459254362276610101539366­5597896857185313159459_<142> × [2287301996..._<2834>] (8.81%)

10³¹⁰⁸+1 = 1000000000..._<3109> = 73 × 137 × 6217 × 7841 × 4889921 × 11176369 × 61544617 × 99990001 × 1033354057_<10> × 11189053009_<11> × 54615849443593_<14> × 9729249786231809_<16> × 16444765848115921_<17> × 31495401976675753_<17> × 603812429055411913_<18> × 7891066544885327833_<19> × 127522001020150503761_<21> × 148029423400750506553_<21> × 539165208964537291648900107685729_<33> × 7842339718903594605832160720054618017661­7061948406580747828212881_<65> × 9879587347765036607308472984299267446449­2842748785038003856042863807090965021048­0224210297181360032908354907525523774393_<120> × 7413647414915912456095291913585548438617­2984223253788796799108348614185080440835­1227914193459832509953363475917245566172­9929526151907909705700148668130193294652­504402201795631932236872015298449_<193> × [3375907120..._<793>] × [2038168097..._<1706>] (19.63%)

10³¹⁰⁹+1 = 1000000000..._<3110> = 11 × 12437 × 45753952927_<11> × 7816020408444847_<16> × 965342691743892569_<18> × 1424009469938975232796518416207_<31> × [1486904186..._<3030>] (2.57%)

10³¹¹⁰+1 = 1000000000..._<3111> = 101 × 3541 × 6221 × 27961 × 130621 × 60511946433415661_<17> × 1166896641458602659041_<22> × 20270411022697016392828178929_<29> × 650984681718130029836870181208361_<33> × [4884454532..._<592>] × [5488443236..._<1186>] × [4926684022..._<1215>] (3.79%)

10³¹¹¹+1 = 1000000000..._<3112> = 7 × 11 × 13 × 103 × 367 × 4013 × 81131 × 51745081 × 9019855037_<10> × 21993833369_<11> × 291078844423_<12> × 2412809214499_<13> × 20491367789077_<14> × 21268460590327_<14> × 40498340376691_<14> × 6691871324185933_<16> × 377526955309799110357_<21> × 4258640747595358437053677_<25> × 4293674404051268505730897152041702807799­0465463_<47> × 3327799391606549896523481221243658725565­6671587921_<50> × 1120522253011683685532152825789043757514­5023592596037161_<56> × [1219531794..._<951>] × 3036636568..._<1841> (69.46%)

10³¹¹²+1 = 1000000000..._<3113> = 17 × 5882353 × 1460882093441_<13> × 3874716444076129_<16> × [1766627164..._<3077>] (1.15%)

10³¹¹³+1 = 1000000000..._<3114> = 11² × 23 × 1699 × 4093 × 8779 × 241117 × 5031537408893579_<16> × 41957106050157390686441_<23> × 3197838295350890098487501692066693_<34> × 60679993426051204677628074865732853_<35> × 61945573305222690279363663578823967_<35> × 4901999948893733786655871555821130375092­5973449_<47> × 1511683480129204931881648121504080561751­48228488823_<51> × 4834389726736518293852244130660191969670­7976106339486456947619775581596788967635­9171209724331727292029682663034137421755­3659008741548305187653_<142> × [2685248171..._<2714>] (12.84%)

10³¹¹⁴+1 = 1000000000..._<3115> = 101 × 6229 × 9901 × 78889 × 999999000001_<12> × 19368443729478869_<17> × 19855343455987682761_<20> × 244742578244977884949_<21> × 9970640571320679438520961989_<28> × [5126970743..._<300>] × [4229599275..._<640>] × [1000000999..._<2065>] (3.55%)

10³¹¹⁵+1 = 1000000000..._<3116> = 11 × 179 × 3739 × 9091 × 100927 × 909091 × 1096481 × 4147571 × 4600411 × 4688699 × 11830771 × 317384681 × 6760092011_<10> × 12147237304901893_<17> × 265212793249617641_<18> × 332073601264920920030201_<24> × 1436873849910900920727661771706585602938­4012938971_<50> × 8085529463454134100970957657118926449470­3351351547829906051_<59> × 6308599667036354241463828431077328354879­98079409968772589281_<60> × 4180967272673252032291190917188955510245­874180001164839931077197586653_<70> × 4578874233436492255420074091728599390739­7013371281056728412584574199675937386727­3776063406076463623091465305278231306233­9754313662352611_<136> × [6216951209..._<513>] × [7008055661..._<2099>] (16.16%)

10³¹¹⁶+1 = 1000000000..._<3117> = 73 × 137 × 457 × 1403417 × 121553521 × 5240808656722481737_<19> × 36637591407529194237097_<23> × 1678170209698767229147552001_<28> × 2974783307863656284148053052903024835550­43017_<45> × 2245236606248397162554620353530247131809­5554391743324562620485785399554026316658­3148992537007203882503748922397253629192­9859656473_<130> × [5959467008..._<2853>] (8.45%)

10³¹¹⁷+1 = 1000000000..._<3118> = 7 × 11 × 13 × 4157 × 21033517 × 58565955103_<11> × 1285805828294013499728732278551423_<34> × [8086116674..._<994>] × [1876347951..._<2066>] (1.85%)

10³¹¹⁸+1 = 1000000000..._<3119> = 101 × 146801785085541786650745616501_<30> × [6744461651..._<3087>] (1.00%)

10³¹¹⁹+1 = 1000000000..._<3120> = 11 × 230807 × 2245681 × [1753921994..._<3107>] (0.41%)

10³¹²⁰+1 = 1000000000..._<3121> = 97 × 353 × 449 × 641 × 1409 × 69857 × 177601 × 206209 × 232961 × 1634881 × 18453761 × 19725473 × 57653857 × 4694971009_<10> × 40336502753_<11> × 66554101249_<11> × 947147262401_<12> × 75118313082913_<14> × 754651871841089_<15> × 4155351649525441_<16> × 49190086416352961_<17> × 22916502761856583361_<20> × 23280575144430433054218241_<26> × 349954396040122577928041596214187605761_<39> × 1786971871341978412769793172635403245447­905376001_<49> × 3150916372611608799973465944081684225163­85623286349240690538356681453806401_<75> × 3385712628753289239019454468275018070505­6727269149496594755320455272870740814407­0214357217318801663936431733367877452215­20888878951616858121601_<143> × [8890597240..._<351>] × [1873132229..._<744>] × [4295426525..._<1511>] (16.51%)

10³¹²¹+1 = 1000000000..._<3122> = 11 × 2042906729_<10> × 434792283851_<12> × [1023474314..._<3100>] (0.70%)

10³¹²²+1 = 1000000000..._<3123> = 29 × 101 × 281 × 4388641 × 121499449 × 4624741013621_<13> × 5721432945541_<13> × 27740261651692489_<17> × 21324502683608069609_<20> × 202541585235806968718340098089_<30> × 1151849959315534266411044521456433499421_<40> × 6159486985016013075067913427429040588111­855293215481915322769_<61> × 4638735768..._<260> × [2183906076..._<2652>] (15.08%)

10³¹²³+1 = 1000000000..._<3124> = 7 × 11 × 13 × 19 × 6247 × 52579 × 368720813 × 805697219 × 2383773409_<10> × 89700105169_<11> × 323639994086138461920134200724809_<33> × 213176320566932405923739316144183121_<36> × [3411495834..._<318>] × [5154892888..._<657>] × [2076994830..._<2031>] (3.79%)

10³¹²⁴+1 = 1000000000..._<3125> = 73 × 137 × 617 × 168697 × 4672937 × 11473030297_<11> × 15011313593_<11> × 273919647900781361_<18> × 302265719497171388215121034171443993_<36> × 16205834846012967584927082656402106953_<38> × 2284811904185513934602789046132513875275­2437281_<47> × 4464770518736461252212297564895830819002­3012536081192611094211843306393900887680­445089061753_<92> × 6674453733225557488251415205037932916521­8699128683683755465038638131167410465821­6820684054966269965371491433_<108> × [1306557340..._<2750>] (12.00%)

10³¹²⁵+1 = 1000000000..._<3126> = 11 × 251 × 5051 × 9091 × 21001 × 160001 × 162251 × 10893295001_<11> × 50779597795001_<14> × 78875943472201_<14> × 128372635774581251_<18> × 2694097928717316276645861946622812338537­0101110890672605575327268108228244170925­1_<81> × [9587725422..._<464>] × [9999999999..._<2500>] (5.15%)

10³¹²⁶+1 = 1000000000..._<3127> = 101 × 9901 × 41681 × 215287621 × 470883318073866891469_<21> × [5044605293..._<1015>] × [4691393705..._<2072>] (1.27%)

10³¹²⁷+1 = 1000000000..._<3128> = 11 × 1889 × 1090805842068098677837_<22> × 15777337219585290858407_<23> × 4411922770996074109644535362851087_<34> × 9090909090909090909090909090909090909090­909090909091_<52> × [6972025663..._<2994>] (4.26%)

10³¹²⁸+1 = 1000000000..._<3129> = 17² × 6257 × 43793 × 5882353 × 7300753 × 13355595217_<11> × 9405151701521833837543345297_<28> × 1205530548914055885457278225432810661628­03459003848166118314367809_<66> × 8295102856587101112151219663083514451877­4133555852877567503980614227065994320281­8322753067885238020768017585089_<111> × 4404410875574787768521718346256386184129­4905937408483757953142563366126920380374­1415744566525108430933975383194546209_<117> × [5314907269..._<2773>] (11.36%)

10³¹²⁹+1 = 1000000000..._<3130> = 7² × 11 × 13 × 127 × 2087 × 2689 × 459691 × 909091 × 22290997 × 2930436343_<10> × 452421222259_<12> × 2079121605721_<13> × 9615683031450065714899_<22> × 1654596091767978658661343653297922706352­07840943_<48> × 2737869430252705432917439814481839640694­075521336313521691938014929169431049_<76> × 3986607281..._<263> × [4934727190..._<881>] × [9100000909..._<1776>] (15.10%)

10³¹³⁰+1 = 1000000000..._<3131> = 101 × 3541 × 27961 × 143981 × 196153882361_<12> × 1171417416329_<13> × 443245568878434790681_<21> × 30086868043761191489057701_<26> × 103140906729876578126172018161_<30> × [8452145205..._<612>] × [5433338557..._<1193>] × [4785200987..._<1212>] (3.63%)

10³¹³¹+1 = 1000000000..._<3132> = 11 × 607 × 809 × 1213 × 6263 × 1327067281_<10> × 909090909090909090909090909091_<30> × 1150049039411782458546879600357516307683­6624586334794818271756072956027758946488­969_<83> × [1756346798..._<2997>] (4.30%)

10³¹³²+1 = 1000000000..._<3133> = 73 × 137 × 233 × 3169 × 13921 × 98641 × 355193 × 99990001 × 10797632641_<11> × 21591416633_<11> × 192346125251257_<15> × 3199044596370769_<16> × 11090099157944399977_<20> × 1625458218739290128864916634393_<31> × 4340215883106282426859450870777_<31> × 1726290008991504500177463302688697_<34> × 17468739848498438039329935679794457_<35> × 246900403017958787131873605843061988161_<39> × 579276943498154282123686999881829009033_<39> × 3203269941631699433842950669924393166558­40979654890345228609_<60> × 2623709608263520547879954791214412810391­7039851666735622202088676307751213851644­8290525904445527393923049141488305055748­3687370269811018178176841590586944036054­473_<163> × 3198458699..._<628> × [2133831491..._<1976>] (36.93%)

10³¹³³+1 = 1000000000..._<3134> = 11 × 859 × 11087 × 140263 × 1058313049_<10> × 3915093615120091_<16> × 5707310482356887_<16> × 166118970220264489_<18> × 2065548882433064749302848511798666276437_<40> × 1073432861671296843309316906103494760197­6065423298090207036703_<62> × 1587159415466708493113910200241893331490­8143281174256911370046090374195646715126­9742335031378183866433849119125209_<114> × [4922877567..._<2849>] (9.07%)

10³¹³⁴+1 = 1000000000..._<3135> = 101 × 6269 × 797090542244111281_<18> × [1981402471..._<3111>] (0.76%)

10³¹³⁵+1 = 1000000000..._<3136> = 7 × 11² × 13 × 23 × 211 × 241 × 331 × 419 × 571 × 2161 × 4093 × 5171 × 8779 × 9091 × 40129 × 85691 × 258743 × 1458973 × 27663241 × 599144041 × 4124507971_<10> × 20163494891_<11> × 183411838171_<12> × 196339580053_<12> × 1812604116731_<13> × 121450506296081_<15> × 909090909090909091_<18> × 1218267416150439601_<19> × 11382273828031938028891_<23> × 318727841165674579776721_<24> × 19835636682880495867311241_<26> × 43135513763991692454656851_<26> × 753201806271328462547977919407_<30> × 9493467562479980587204226253298411_<34> × 1112314101311286003379752617807870409611­285281_<46> × 4996731930447843676185843959746621491531­100801_<46> × 6379603923183116557572498736754081808902­892003349145377489_<58> × 3245978377655567212760904825925262846295­1980219023093305171626002054148822574802­87263152055681_<94> × 1184063086040147380329868803939835534836­9873648652373709121433689111103721666356­9858459578047055026965068496734007753047­7246997846873893490310131726641084013831­34457213_<168> × [1907025981..._<253>] × [7462236845..._<702>] × [3972383821..._<1433>] (23.87%)

10³¹³⁶+1 = 1000000000..._<3137> = 275969 × 45114497 × 86679041 × 105528193 × 1265011073_<10> × 12543059201_<11> × 15343168188889137818369_<23> × 64415633698117956580263169_<26> × 71496883142749489503687942051713_<32> × 275158773279860146670791344679553_<33> × 515217525265213267447869906815873_<33> × 4816826731..._<312> × [1146871411..._<2632>] (16.10%)

10³¹³⁷+1 = 1000000000..._<3138> = 11 × 3734818091_<10> × [2434096887..._<3127>] (0.34%)

10³¹³⁸+1 = 1000000000..._<3139> = 101 × 9901 × 115061 × 442445449 × 913835809 × 2051894269_<10> × 105053788327845071821_<21> × 193641072040299036303661129_<27> × [2061514088..._<984>] × [2498003457..._<2071>] (2.69%)

10³¹³⁹+1 = 1000000000..._<3140> = 11 × 293 × 57009401 × 618973133 × 2182600451_<10> × 1658612537371_<13> × 146465917472783_<15> × 7306116556571817748755241_<25> × 10826684964539959837294043117_<29> × 2865788889761949979999225923309086021030­11_<42> × [7315421701..._<2989>] (4.78%)

10³¹⁴⁰+1 = 1000000000..._<3141> = 73 × 137 × 1676321 × 85822481 × 135409361 × 5964848081_<10> × 35252297613924163416857_<23> × 265992545707898899331089_<24> × 1066349768..._<579> × [8605848045..._<2480>] (21.02%)

10³¹⁴¹+1 = 1000000000..._<3142> = 7 × 11 × 13 × 19 × 3491 × 52579 × 167521 × 288973 × 312007 × 174672394075369_<15> × 448623719283759007921_<21> × 670640665786197999289687_<24> × 3361543170437980531667161105832265329_<37> × 3592771309162174976433856594717231908259­7_<41> × 2156200781..._<268> × [4686436983..._<665>] × 2957077136..._<2045> (78.84%)

10³¹⁴²+1 = 1000000000..._<3143> = 101 × 12569 × 5266431881_<10> × [1495758325..._<3127>] (0.50%)

10³¹⁴³+1 = 1000000000..._<3144> = 11 × 6287 × 909091 × 10985587813_<11> × 481869541779887_<15> × 149875511372280830299739_<24> × 1979498820250457412915603811_<28> × 5788534334..._<373> × [1749641943..._<2685>] (14.60%)

10³¹⁴⁴+1 = 1000000000..._<3145> = 17 × 23057 × 5882353 × 322360609 × 9999999900000001_<16> × 116664778888112498616358897_<27> × 3717555268..._<1010> × [3102116021..._<2072>] (34.11%)

10³¹⁴⁵+1 = 1000000000..._<3146> = 11 × 103 × 1259 × 4013 × 7253 × 9091 × 87211 × 787223761 × 21993833369_<11> × 3586448252081_<13> × 422650073734453_<15> × 49173925574833481_<17> × 296557347313446299_<18> × 16756163443410038321_<20> × 135854006382839702339_<21> × 14633634259508039993445102654641_<32> × 1602207948210144520667419183035809176643­86555934641_<51> × 2236935504439282957619836393526121214605­1995578845131526611800779453430519897692­8924538425776038404154454146973428926799­68594131_<128> × [1793204977..._<541>] × [3707531703..._<2254>] (11.17%)

10³¹⁴⁶+1 = 1000000000..._<3147> = 89 × 101 × 521 × 56629 × 170369 × 29606281 × 175225909 × 1052788969_<10> × 1056689261_<10> × 7168318301_<10> × 17576772101461_<14> × 659027901051566131229_<21> × 1900381976777332243781_<22> × 1491164086760128255001869_<25> × 754309323029578981494450523147961_<33> × 4832227158939716614468345433242909_<34> × 2093630887738168146679697488136133045598­06235889961_<51> × 4052019124515366329161607597930173756665­3577978261825599617472901135361_<71> × 3890576401025757952383148172224064194438­3267437992820699295414780582742505383339­8395365869_<90> × 1121401477221110433681152383767817503966­1021219748532792755132723848484657089955­8676962628229357741668578262708884771183­293753569_<129> × [1208037999..._<2602>] (17.32%)

10³¹⁴⁷+1 = 1000000000..._<3148> = 7 × 11 × 13 × 2099 × 2173529 × 142338811 × 12066895489219_<14> × 160922881584037_<15> × 9193462845630768469947264599743_<31> × [1522744284..._<1000>] × [5659072471..._<2069>] (2.51%)

10³¹⁴⁸+1 = 1000000000..._<3149> = 73 × 137 × 20090537 × 59216604644369_<14> × 229643478267340129_<18> × 2491277699183073169_<19> × 256192739233647077355913_<24> × [5734274138..._<3064>] (2.68%)

10³¹⁴⁹+1 = 1000000000..._<3150> = 11 × 6299 × 106354327 × 4855067598095567_<16> × 297262705009139006771611927_<27> × 4592217667794711737268685269769_<31> × 9090909090909090909090909090909090909090­90909090909090909090909091_<66> × [2252242017..._<2998>] (4.82%)

10³¹⁵⁰+1 = 1000000000..._<3151> = 29 × 61 × 101 × 181 × 281 × 421 × 601 × 701 × 1009 × 1801 × 3541 × 6301 × 9901 × 12601 × 27961 × 33301 × 60101 × 139501 × 226549 × 261301 × 560701 × 1194901 × 3471301 × 3903901 × 4188901 × 5030101 × 7019801 × 13489841 × 19240201 × 39526741 × 62134801 × 121499449 × 422100001 × 1384194841_<10> × 42681134161_<11> × 43266855241_<11> × 60368344121_<11> × 158201922061_<12> × 168290119201_<12> × 219345525001_<12> × 398230717501_<12> × 424451728681_<12> × 999999000001_<12> × 1125310645201_<13> × 5455568729101_<13> × 14103673319201_<14> × 1351855459456741_<16> × 1680588011350901_<16> × 4458192223320340849_<19> × 25074091038628125301_<20> × 848654483879497562821_<21> × 4999437541453012143121_<22> × 33822732328831925621101_<23> × 1105097795002994798105101_<25> × 19885398988994579655121501_<26> × 56541586842121464411050521_<26> × 139790941013628227711346421_<27> × 19825744781339712457003608841_<29> × 47997177034410877548362717701_<29> × 38654658795718156456729958859629701_<35> × 429302031033340221027910488160800301_<36> × 152372720018473862927761564984708391701_<39> × 282448028612066894256984424869264385801_<39> × 938366482703941691072746568832156530761_<39> × 1063795972097308740343464151173592140661_<40> × 2292099475416119162504685490734919773460­97487987121_<51> × 2781227265549276084213926466827751101166­81922088002932901_<57> × 5389978935326357919942790146424528038212­66462568112860601_<57> × 2290624689643723122789957563362013976604­4690040039603689929_<59> × 2135677566175112095067786054974896458380­25587933288349770601_<60> × 4729413357148090640380520548670420819661­897089600775548490401_<61> × 2973385658387841660090191886374395419376­5406914039889743839597679744394714079784­71880584291823101_<97> × 9999999000000049999998999999980000001999­9999500000000000000299999999999999500000­0199999997999999900000004999999900000001_<120> × [6202221911..._<215>] × 1814751034..._<228> × [4668297825..._<644>] × [8593491371..._<680>] (51.16%)

10³¹⁵¹+1 = 1000000000..._<3152> = 11 × 47 × 139 × 2531 × 364393423 × 117651465889_<12> × 441651480271681_<15> × 549797184491917_<15> × 676321006412903_<15> × 218801242136856556680173235529_<30> × 3244569580634956101009646791013296826459­859399717968478099_<58> × [1099999999..._<2993>] (5.04%)

10³¹⁵²+1 = 1000000000..._<3153> = 353 × 449 × 641 × 1409 × 69857 × 81953 × 80325569 × 243263715200594657_<18> × [6244590989..._<3106>] (1.47%)

10³¹⁵³+1 = 1000000000..._<3154> = 7 × 11 × 13 × 12613 × 378361 × 10795650110009506699_<20> × 5260958865520419357609127_<25> × 5399314389370712714003755826053_<31> × [9090909090..._<1050>] × [7508989974..._<2016>] (2.76%)

10³¹⁵⁴+1 = 1000000000..._<3155> = 101 × 94621 × 132469 × 722817036322379041_<18> × 1369778187490592461_<19> × 847268830628385990406529_<24> × 2302396795526516076776837687352113616978­6061_<44> × 4300297028838474156015268798064619519844­2861652725689411586949534183336343885152­2239838194937434654367240751665935313744­1_<121> × 9510390563..._<2918> (100.00%)

10³¹⁵⁵+1 = 1000000000..._<3156> = 11 × 9091 × 38787571 × 111478771 × 7144726022423651_<16> × 25275592878679576093_<20> × 324340568278356513982411_<24> × 215007779702918011813855565694983_<33> × [6475491890..._<531>] × [2835931644..._<2513>] (3.54%)

10³¹⁵⁶+1 = 1000000000..._<3157> = 73 × 137 × 637513 × 99990001 × 7614760555799554961_<19> × 81584514374060679323528661817_<29> × 1331913027989653011161766008917441681_<37> × [1313107618..._<1030>] × [1443679475..._<2026>] (3.22%)

10³¹⁵⁷+1 = 1000000000..._<3158> = 11² × 23 × 463 × 4093 × 8779 × 24179 × 410411 × 590437 × 909091 × 7444361 × 298693693 × 66761060059_<11> × 114305360093_<12> × 19214818177409_<14> × 2670502781396266997_<19> × 4539402627853030477_<19> × 3404193829806058997303_<22> × 4924630160315726207887_<22> × 6960601670540648499100047151502378472612­2029891_<47> × 5724747847..._<227> × 5290781804..._<345> × [2902675890..._<2373>] (24.85%)

10³¹⁵⁸+1 = 1000000000..._<3159> = 101 × 585775705660732037239861_<24> × [1690235700..._<3133>] (0.82%)

10³¹⁵⁹+1 = 1000000000..._<3160> = 7 × 11 × 13² × 19 × 157 × 487² × 859 × 1459 × 6397 × 52579 × 69499 × 216451 × 461917 × 564409 × 592489 × 911899 × 60034573 × 67430557 × 70541929 × 1058313049_<10> × 2458921051_<10> × 14175966169_<11> × 41067815023_<11> × 388847808493_<12> × 28955399376619_<14> × 30742515591607_<14> × 26135351739618967_<17> × 456502382570032651_<18> × 610600386089858349939139_<24> × 53434287780008408127261115957_<29> × 3609680015682889556828657822481825871981­7914995401933354161_<59> × 6862390300547244074038319769783944997739­006024946890580945655121_<64> × 8000274558764048855772521798953431026754­8611200476150362489556535106714036551037­0493445728939496142044078198975533517796­2505013085247_<133> × 8997187573495778286317613417300932207138­2277064314026460043622919594180784981981­6835925771559643276518390048146301688389­176642719947087961896703_<144> × 1942939735..._<637> × [6021718768..._<1875>] (40.65%)

10³¹⁶⁰+1 = 1000000000..._<3161> = 17 × 3793 × 5070721 × 5882353 × 35581170241_<11> × 33802522696443169_<17> × 19721061166646717498359681_<26> × 601859396315750548176086754241_<30> × 3041610227520272973007139521013344769_<37> × [2564274301..._<568>] × [4669654311..._<2456>] (4.33%)

10³¹⁶¹+1 = 1000000000..._<3162> = 11 × 59 × 44917811 × 8066872001_<10> × 3338786746233023_<16> × 3608552569495545281_<19> × 4902651505399511616947339_<25> × 154083204930662557781201849_<27> × 14060959683864286267405933000927102019_<38> × 1936438332114871929518057885332574185585­8987848620134943_<56> × [1715950975..._<2964>] (6.26%)

10³¹⁶²+1 = 1000000000..._<3163> = 101 × 409 × 3061 × 5209 × 9901 × 23189 × 44269 × 2049349 × 5969449 × 28559389 × 134703241 × 1491383821_<10> × 50913535400701_<14> × 225974065503889_<15> × 2324557465671829_<16> × 5968129517579347564091776321_<28> × 44398000479007997569751764249_<29> × 1237647901269087791991429340828601_<34> × 110751832648927548270211493859285869_<36> × 111276132074930025328712302045364981_<36> × 139716865184144864008269344660199946429_<39> × 4831285495545122373055545883590398223973­07149685578249_<54> × 1387770812537486172424567765413032718466­560432631753219117445147282909788805041_<79> × [2855546921..._<853>] × [7360509103..._<1874>] (13.78%)

10³¹⁶³+1 = 1000000000..._<3164> = 11 × 12653 × 63788789928811_<14> × [1126339832..._<3145>] (0.60%)

10³¹⁶⁴+1 = 1000000000..._<3165> = 73 × 137 × 7841 × 217294481 × 5691376081_<10> × 20213998418881_<14> × 3004663012668187601_<19> × 127522001020150503761_<21> × 23496896216135822356297_<23> × [1145207867..._<390>] × [4947561483..._<2675>] (3.17%)

10³¹⁶⁵+1 = 1000000000..._<3166> = 7 × 11 × 13 × 211² × 241 × 2161 × 9091 × 14771 × 25321 × 177196221721_<12> × 268765324411_<12> × 38087571415274724997_<20> × 8708337574089530396491_<22> × 861653660761901577618091_<24> × 2708591227536778275869251_<25> × 9376657450882829279982731_<25> × 2764617069785703725933625413_<28> × 19178509602144721723538217992641_<32> × 3288306793104537549151557682274952353292­6149751780658407359998309758510107771719­3987768606878995960468762394797684114544­7142199844840010655676265265016804404656­93288035792812855582407_<183> × 2885196031..._<401> × [9907916967..._<722>] × [7354894594..._<1638>] (25.44%)

10³¹⁶⁶+1 = 1000000000..._<3167> = 101 × 80359190381_<11> × 842641284481_<12> × 3858225852889_<13> × 170527053857076781_<18> × [2222385550..._<3112>] (1.73%)

10³¹⁶⁷+1 = 1000000000..._<3168> = 11 × 1071266942629111608139345583_<28> × [8486128647..._<3139>] (0.89%)

10³¹⁶⁸+1 = 1000000000..._<3169> = 193 × 577 × 769 × 2113 × 6337 × 19841 × 976193 × 6187457 × 317752351489_<12> × 23447080358593_<14> × 834427406578561_<15> × 1253224535459902849_<19> × 14971213096504548521089_<23> × 6094906677549287702450296897_<28> × 26670033927811409112897180097_<29> × 222688353792418778799593928777532880641_<39> × 3162086824598326714007856976523611232833_<40> × 5732484411587676082027138394242906104961_<40> × 5376349118996722135857554610727903470969­7_<41> × 1964921068627143245631030869023344815967­41493532094589569_<57> × 1155769568319416848232879884038923230156­6128542366996816904708940827856565218146­3740087715495531620984715848743338424468­8679028278097388037431233_<145> × 5454254688947363287683007582959957955687­7428501805560638197790719877643207587229­1901238475752871142202298332796782100563­3305513155176634315060424546674322713747­588377841693274817_<178> × [9047603672..._<547>] × [1578033769..._<1917>] (22.25%)

10³¹⁶⁹+1 = 1000000000..._<3170> = 11 × [9090909090..._<3168>] (0.03%)

10³¹⁷⁰+1 = 1000000000..._<3171> = 101 × 3541 × 27961 × 44381 × 71314767241_<11> × 3877167355771621_<16> × [2230907392..._<628>] × [9224285854..._<1248>] × [3959994695..._<1254>] (1.30%)

10³¹⁷¹+1 = 1000000000..._<3172> = 7² × 11 × 13 × 127 × 2689 × 6343 × 72481 × 459691 × 909091 × 181288487 × 5780201179_<10> × 153653579173_<12> × 12331942624071394811_<20> × 273089472664314803659_<21> × 2646756758131654397378192081701748003041­997_<43> × 9998823061783773451618898466551985927663­47086896770989636138585751423_<69> × 2622958847..._<286> × 4027983500..._<880> × [1434652516..._<1797>] (43.36%)

10³¹⁷²+1 = 1000000000..._<3173> = 73 × 137 × 1580801 × 2438537 × 10399345405377216553_<20> × 6325274402021507450906224122454439230492­01_<42> × 8937684830337008583254725781111368001798­3140270444916137_<56> × 4411600567849560669355850439963957203397­4699185690820005696565227221756968616446­7898219919069368304598422319868082307673­772600748575192615252243347701807248793_<159> × [1000099999..._<2881>] (9.21%)

10³¹⁷³+1 = 1000000000..._<3174> = 11 × 82499 × 970939 × 63716179 × 909090909090909091_<18> × 116011189311149998139_<21> × 272828068791212993437_<21> × 8048136366742864151567_<22> × 3015252949189504320875202981299415587115­51656822567015411_<57> × 1495012804425531262945788741160430069296­6728690551568705030373_<62> × [1706305255..._<2956>] (6.86%)

10³¹⁷⁴+1 = 1000000000..._<3175> = 101 × 829 × 1289 × 9901 × 31741 × 1569889 × 886230003349_<12> × 18371524594609_<14> × 536430531035337769_<18> × 757108543129939106221_<21> × 4181003300071669867932658901_<28> × 3917382716377903378043489887249_<31> × 1910846617679140068129270917199256656502­9_<41> × [1128375248..._<1001>] × [8042357824..._<1989>] (5.83%)

10³¹⁷⁵+1 = 1000000000..._<3176> = 11 × 251 × 3557 × 5051 × 5081 × 9091 × 19051 × 1752601 × 8553451 × 157297121 × 857772733 × 1094479651_<10> × 1125629957_<10> × 6549246491_<10> × 2660369248721_<13> × 78875943472201_<14> × 405519787216361_<15> × 616896149073719728613_<21> × 10860110813777339731289_<23> × 258912669263486564449721971_<27> × 2649986345740176396129549711003058681201_<40> × 2023676381023110295200831711358947249100­91_<42> × 3609953127360313821869930156556758170515­1216702113889_<53> × 3717737335..._<388> × [1321351928..._<2464>] (22.42%)

10³¹⁷⁶+1 = 1000000000..._<3177> = 17 × 6353 × 5882353 × 38556641 × [4082460097..._<3157>] (0.61%)

10³¹⁷⁷+1 = 1000000000..._<3178> = 7 × 11 × 13 × 19 × 52579 × 1006029527_<10> × 3313892317640456569_<19> × 5654000177636083959487421885693964261705­0503_<44> × [1598235487..._<300>] × [3316043472..._<686>] × [1000999998..._<2113>] (2.53%)

10³¹⁷⁸+1 = 1000000000..._<3179> = 29 × 101 × 281 × 19069 × 46309 × 121499449 × 165338629 × 1762963721_<10> × 1669437171407543606749815921781_<31> × 3802416727162854360879394522289_<31> × 5622811333..._<417> × [1088442944..._<2661>] (16.30%)

10³¹⁷⁹+1 = 1000000000..._<3180> = 11² × 23 × 103 × 4013 × 4093 × 8779 × 192611 × 483209 × 511438099 × 21993833369_<11> × 1284680342573_<13> × 587128597716013_<15> × 587063793048979091_<18> × 6315203673292075607_<19> × 125797399492676917721_<21> × 42323992639419349049079264521_<29> × 1136558791710654899629429576107642694020­211020408036719308522808314581197380973_<79> × 5595739587235982076965843552888948227782­6574998014018514928782197341726428854387­236670658714503098749571_<104> × 6923777301528230940787780295400313221683­7931499487471683017546895556923961389690­1051476486900230773676279104245977387969­9664648964996271733_<139> × [3524777852..._<2700>] (15.08%)

10³¹⁸⁰+1 = 1000000000..._<3181> = 73 × 137 × 12721 × 18233 × 1676321 × 99990001 × 5964848081_<10> × 67406298457_<11> × 1134173360081_<13> × 225949462038457_<15> × 1488067111584049_<16> × 899319337247551841_<18> × 23641392997940421257_<20> × 52479828164257337529193_<23> × 24017595110149983857176317121_<29> × 100009999999899989999000000010001_<33> × 706882718657645277228087439919935993_<36> × 5446917923904711630084568262371769716257­7784999950014081337618457_<65> × 4721039325728010820594679541353546669967­335225378893722566311366791400472881_<76> × 1193142585..._<344> × [2886112217..._<788>] × [9999000100..._<1664>] (22.91%)

10³¹⁸¹+1 = 1000000000..._<3182> = 11 × 19087 × [4762880018..._<3176>] (0.17%)

10³¹⁸²+1 = 1000000000..._<3183> = 101 × 149 × 3109 × 111149 × 338669 × 708840373781_<12> × 669031686661427842829_<21> × 216958873469174619232843649_<27> × 34173003529432362514766613941_<29> × 40548140514062774758071840361_<29> × 58587009814376657974497513881_<29> × 2923500556298303355222653948542706598448­925085853709961673200056984872843366529_<79> × [2325195491..._<2941>] (7.59%)

10³¹⁸³+1 = 1000000000..._<3184> = 7 × 11 × 13 × 6367 × [9090909090..._<1060>] × [1725932305..._<2117>] (0.21%)

10³¹⁸⁴+1 = 1000000000..._<3185> = 353 × 449 × 641 × 1409 × 69857 × 157092193 × 1481572513_<10> × 1777143200513756811697855307873_<31> × [2417686921..._<3121>] (2.00%)

10³¹⁸⁵+1 = 1000000000..._<3186> = 11 × 131 × 197 × 491 × 859 × 3823 × 9091 × 15289 × 18131 × 909091 × 4147571 × 7930651 × 21705503 × 1058313049_<10> × 2475034612051_<13> × 1081846114760321_<16> × 46205575684179731_<17> × 265212793249617641_<18> × 848323457490779150795692051_<27> × 653518704357372488880162997801_<30> × 5076141624365532994918781726395939035533_<40> × 1727311850410986782582477577505934019333­847_<43> × 8396862596258693901610602298557167100076­327481_<46> × 5009499553764433156007921686514205741644­754894222691_<52> × 5067838741170388910175912578529043989438­9920385627096501794498837_<65> × 1718853138090239733162972996170019720286­9808205600796969972413767579753540276343­4997577528908814962221209301350715566313­549141490281_<132> × 1466817919595327188231351160432180116180­2135429614673632851403034957825865582773­9679483747341180926907303679883240476304­5989876001215861751553184924252035281973­147552669068625063450431325422201_<193> × 9904804597..._<454> × [1486379277..._<1983>] (37.77%)

10³¹⁸⁶+1 = 1000000000..._<3187> = 101 × 109 × 709 × 9901 × 84961 × 153469 × 981289 × 430148941 × 999999000001_<12> × 8628874455781_<13> × 59779577156334533866654838281_<29> × 2301758566693739922539762779746120311824­9662502388680738607258133387102794008715­4579555293851089822885094561_<108> × 1424540183..._<230> × [1364038625..._<679>] × [1019067777..._<2083>] (13.37%)

10³¹⁸⁷+1 = 1000000000..._<3188> = 11 × 8477349887_<10> × 980765767379_<12> × 175292190624591131969_<21> × [6237626113..._<3144>] (1.36%)

10³¹⁸⁸+1 = 1000000000..._<3189> = 73 × 137 × 44633 × 18943097 × 1434339865577_<13> × 14888815229469025992910831752769_<32> × [5537800436..._<3129>] (1.86%)

10³¹⁸⁹+1 = 1000000000..._<3190> = 7 × 11 × 13 × 6379 × 12757 × 176459 × 1907023 × 7532419 × 2928852075918417027638457828557_<31> × 10222699384321246317974305384893583_<35> × [2161548107..._<1019>] × [7483463016..._<2077>] (2.94%)

10³¹⁹⁰+1 = 1000000000..._<3191> = 89 × 101 × 349 × 661 × 3541 × 18041 × 27961 × 38281 × 38861 × 148721 × 618049 × 519861541 × 1052788969_<10> × 1056689261_<10> × 1121407321_<10> × 2079492584954269_<16> × 1767955366388381478541_<22> × 188043499241195246082595481_<27> × 1395900370916327245555441901_<28> × 5058662207573445830372445301_<28> × 6861213971210390201377343641_<28> × 14087942679857610940613213182901_<32> × 36380545029953205956377406702261_<32> × 481784225905457013096684069934321_<33> × 2745820043425052285732308383257413452721_<40> × 1181180637520183640867963573625866958318­7541_<44> × 2004594328563924403139229874961691116225­4803611180129676814249196577825262970771­61_<82> × 2022907403453455435045739409943184658625­1136936003634971287976573977944682716320­34457525101_<91> × [3764477538..._<491>] × [6659330333..._<1048>] × 1116392154..._<1080> (51.77%)

10³¹⁹¹+1 = 1000000000..._<3192> = 11 × [9090909090..._<3190>] (0.03%)

10³¹⁹²+1 = 1000000000..._<3193> = 17 × 113 × 337 × 57457 × 134369 × 5882353 × 31735795756961_<14> × 9999999900000001_<16> × 27143242619035537_<17> × 1676106728215569889_<19> × 73765755896403138401_<20> × 119968369144846370226083377_<27> × 7865110274657230201779070033_<28> × 2070270028985341766616009080161_<31> × 2814641885695164503279574218840160746078­05300753_<48> × 1433319827159466789806966856379479179916­136529424792832495021393_<64> × 2345046820394523854722286018373912171012­6330850830571913874990515654086653442723­8711769806579683320997636600725852987602­204289_<126> × 4517228317..._<213> × [1038377785..._<842>] × [3684158167..._<1712>] (20.03%)

10³¹⁹³+1 = 1000000000..._<3194> = 11 × 1237 × 44092859 × 102860539 × 984385009 × 4717417162891_<13> × 612053256358933_<15> × 175387314348950418251_<21> × 182725114866521155647161_<24> × 909090909090909090909090909091_<30> × 1471865453993855302660887614137521979_<37> × [1329505763..._<3028>] (5.19%)

10³¹⁹⁴+1 = 1000000000..._<3195> = 101 × 6389 × 954788558869_<12> × 14668886999464726296469036050269_<32> × [1106474396..._<3146>] (1.53%)

10³¹⁹⁵+1 = 1000000000..._<3196> = 7 × 11 × 13 × 19 × 211 × 241 × 2131 × 2161 × 8521 × 9091 × 25561 × 29611 × 52579 × 138451 × 290249 × 488197 × 1356811 × 2107849 × 3762091 × 8985695684401_<13> × 41743965449582047_<17> × 573331334614711921_<18> × 1026684688942915478900251_<25> × 8040918343554305172202001281_<28> × 13621052590123584243005648011_<29> × 21977699107816352490639478201_<29> × 50536830527024928096783637801_<29> × 4082614120046042598675287374891_<31> × 3132106946418106835541520932340538954170­6979493156189716729115659_<65> × 2372121273417053818094646796447673682891­7804359164858872931510547829240056443942­41806042716589462595192339_<106> × 5900342768..._<249> × [4911851953..._<398>] × [2919969372..._<462>] × [5004627231..._<1630>] (22.10%)

10³¹⁹⁶+1 = 1000000000..._<3197> = 73 × 137 × 70313 × 79337 × 485041 × 118710721 × 152533657 × 4392716633_<10> × 6578404633_<10> × 3633102023635951037090369_<25> × 169905327561162104198557246291921_<33> × 6555274617188258326423007086888436687780­3237222654400793_<56> × 2785153893179118281358593228549059682062­3900747164894668499167046712090201879423­948069199442816537475115348268729799177_<119> × [6266609676..._<2910>] (8.96%)

10³¹⁹⁷+1 = 1000000000..._<3198> = 11 × 47 × 139² × 557 × 2503 × 2531 × 19183 × 61497493 × 549797184491917_<15> × 1832528884575847_<16> × 2417039652612971_<16> × 4845825548319420226515183211_<28> × 6520655709313341698465187621108953571040­3595333062378353092332941289776570384185­9492780362601926814638167836591846272150­911969126521_<132> × [3125370920..._<2964>] (7.30%)

10³¹⁹⁸+1 = 1000000000..._<3199> = 101 × 521 × 3121 × 9901 × 68389 × 1106509 × 196879541 × 53397071018461_<14> × 666145793695687241_<18> × 1900381976777332243781_<22> × 4358520633331847997580801_<25> × 216667590115007379484962361_<27> × 6060517860310398033985611921721_<31> × 8399157903472060939265697411239739500688­0745482841386049_<56> × 1447745997018511893740076606031686237538­345362413531560645573104006506749609_<76> × 5549977730960882375135249589624499286760­83464040648051002127127164539795044109_<78> × [7701077530..._<934>] × [2052981347..._<1890>] (11.72%)

10³¹⁹⁹+1 = 1000000000..._<3200> = 11 × 825343 × 909091 × 2804755241_<10> × 199276489717_<12> × 7191076849334015303_<19> × 67610894753935762370569_<23> × 173078544916955711084574209_<27> × [1626508293..._<436>] × [1583814522..._<2663>] (3.18%)

10³²⁰⁰+1 = 1000000000..._<3201> = 257 × 15361 × 453377 × 727912961 × 46557699107280397718952961_<26> × 336490113384347841803678799361_<30> × 8036845650724384999755715242923368926721_<40> × 5587118763375362122579477500901613134643­0842253464047463157158784732544216230781­165223702155223678309562822667655169_<116> × [1091116447..._<409>] × [9999999999..._<2560>] (7.25%)