10²²⁰¹+1 = 1000000000..._<2202> = 11 × 290249 × 237708001 × 909090909090909090909090909091_<30> × 3132106946418106835541520932340538954170­6979493156189716729115659_<65> × [4627526189..._<2092>] (4.97%)

10²²⁰²+1 = 1000000000..._<2203> = 101 × 9901 × 36334469 × 6856295012927633680741_<22> × 5199635803411913284713990963149_<31> × 5240670838..._<694> × [1473097333..._<1443>] (34.51%)

10²²⁰³+1 = 1000000000..._<2204> = 11 × 13219 × 44593127 × 6055889093853522371939670185927_<31> × 76179004467076342877840445457742271571_<38> × [3342932280..._<2122>] (3.70%)

10²²⁰⁴+1 = 1000000000..._<2205> = 73 × 137 × 233 × 457 × 355193 × 1403417 × 21591416633_<11> × 5240808656722481737_<19> × 17468739848498438039329935679794457_<35> × 2974783307863656284148053052903024835550­43017_<45> × 3203269941631699433842950669924393166558­40979654890345228609_<60> × [1000099999..._<2017>] (8.53%)

10²²⁰⁵+1 = 1000000000..._<2206> = 7³ × 11 × 13 × 19 × 127 × 197 × 211 × 241 × 491 × 2161 × 2521 × 2647 × 2689 × 9091 × 18131 × 29611 × 52579 × 57331 × 131041 × 459691 × 909091 × 3762091 × 4147571 × 5274739 × 6007303 × 7691041 × 5650149331_<10> × 11933166001_<11> × 29970369241_<11> × 525326613841_<12> × 8320908344491_<13> × 8985695684401_<13> × 117601149473851_<15> × 1661378260814161_<16> × 2622832433505481_<16> × 184721167146702691_<18> × 265212793249617641_<18> × 18276168846821336356291_<23> × 189772422673235585874485732659_<30> × 653518704357372488880162997801_<30> × 1275784731048123659634702312820051_<34> × 5076141624365532994918781726395939035533_<40> × 5213600916753429504543143915097894587811­57156524647_<51> × 1428571571428571428569999999857142857142­8585714285714285571428557142857142857285­7143_<84> × 4512103729930413243964733865733316041820­9369019158095278577428897515955419107089­71709035851_<91> × 1718853138090239733162972996170019720286­9808205600796969972413767579753540276343­4997577528908814962221209301350715566313­549141490281_<132> × 1206226142359151995765814974690188684077­0760501774728809041482325280912099002046­8006404654192783823649565330780189120560­3731363358813212170994860337470438735804­18793246097727626773386959905463_<192> × [4808418242..._<287>] × [1475495720..._<967>] (43.18%)

10²²⁰⁶+1 = 1000000000..._<2207> = 101 × 848787650843384174801_<21> × 7227537640807768291288003861_<28> × [1613946787..._<2156>] (2.30%)

10²²⁰⁷+1 = 1000000000..._<2208> = 11 × 582649 × [1560271980..._<2201>] (0.31%)

10²²⁰⁸+1 = 1000000000..._<2209> = 193 × 769 × 19841 × 136897 × 976193 × 1404289 × 6187457 × 25687873 × 32620993 × 873388871233_<12> × 834427406578561_<15> × 83115883946780353_<17> × 1253224535459902849_<19> × 1776447133160385409_<19> × 30942987586585490641217_<23> × 894705848646498831447982849_<27> × 275568764703416069789958894913_<30> × 76996357306427057284490116314433_<32> × 5376349118996722135857554610727903470969­7_<41> × [4565408279..._<645>] × [1794973218..._<1284>] (12.69%)

10²²⁰⁹+1 = 1000000000..._<2210> = 11 × 6299 × 8837 × 22091 × 1283484033996607_<16> × 4855067598095567_<16> × 3813307731001850321_<19> × 297262705009139006771611927_<27> × [1046616181..._<2121>] (4.03%)

10²²¹⁰+1 = 1000000000..._<2211> = 101 × 521 × 3541 × 4421 × 26861 × 27961 × 63649 × 1211081 × 2311921 × 28559389 × 1491383821_<10> × 1248821288261_<13> × 7568346838961_<13> × 2324557465671829_<16> × 158621640452332721_<18> × 1031498834064949381_<19> × 1900051373962924001_<19> × 12763852652999774041_<20> × 52756042539394310741_<20> × 237612993541791006121_<21> × 1900381976777332243781_<22> × 12119730504567977254081_<23> × 6219342207515923652594221_<25> × 1988731184935761442996825520561_<31> × 2737820036624672031089487008281_<31> × 3299267708829529052354703610141777660085­71741_<45> × 3222807278720691007758873866228863738282­4935282889_<50> × 1051361091529803074497312148085134194834­726090632313891925201_<61> × [1921467971..._<249>] × [6309489198..._<727>] × [1843277529..._<745>] (22.20%)

10²²¹¹+1 = 1000000000..._<2212> = 7 × 11² × 13 × 23 × 4093 × 4423 × 7237 × 8779 × 599144041 × 17830074841_<11> × 27847549423_<11> × 183411838171_<12> × 3495251584969_<13> × 851109498533797_<15> × 45360300267343173645804799921_<29> × 9090909090909090909090909090909090909090­90909090909090909090909091_<66> × 2205898426186801989910867313546784882759­26380957742565496334997548411735059_<75> × 3950078275..._<650> × [5886349052..._<1304>] (41.03%)

10²²¹²+1 = 1000000000..._<2213> = 73 × 137 × 7841 × 259121 × 73921249 × 245291677963417_<15> × 127522001020150503761_<21> × 5220170227..._<299> × [4077186834..._<1858>] (16.02%)

10²²¹³+1 = 1000000000..._<2214> = 11 × 119503 × 10519442301875293663_<20> × [7231623227..._<2188>] (1.14%)

10²²¹⁴+1 = 1000000000..._<2215> = 101 × 109 × 9901 × 44281 × 68389 × 153469 × 509221 × 9227715841_<10> × 661661361181_<12> × 999999000001_<12> × 7749361782961639741_<19> × 66881844823755776761_<20> × 433207579959564140089_<21> × 38233653831390765808009_<23> × 216667590115007379484962361_<27> × 59779577156334533866654838281_<29> × 7170172761396005732191662987589_<31> × 8399157903472060939265697411239739500688­0745482841386049_<56> × 1447745997018511893740076606031686237538­345362413531560645573104006506749609_<76> × 5549977730960882375135249589624499286760­83464040648051002127127164539795044109_<78> × [4437742030..._<414>] × [2659126625..._<1362>] (19.83%)

10²²¹⁵+1 = 1000000000..._<2216> = 11 × 887 × 2659 × 9091 × 97773824792731_<14> × 3646836465960880692292201915543408162476­049_<43> × [1056936920..._<394>] × [1125034233..._<1755>] (3.07%)

10²²¹⁶+1 = 1000000000..._<2217> = 17 × 576161 × 5882353 × 93577249 × [1854752069..._<2195>] (0.98%)

10²²¹⁷+1 = 1000000000..._<2218> = 7 × 11 × 13 × 2957 × 25127 × 127427249 × 1921210063699_<13> × 72822009528244357_<17> × 7354101158829833032701257969559251929_<37> × [9601808569..._<722>] × [1068049783..._<1411>] (3.83%)

10²²¹⁸+1 = 1000000000..._<2219> = 101 × 13309 × 1264261 × 1596961 × 2786821191693421_<16> × 2387090416040006205011899809781_<31> × 407776237784959972701044863785957701_<36> × [1358320520..._<2119>] (4.50%)

10²²¹⁹+1 = 1000000000..._<2220> = 11 × 909091 × 3536453 × 12361733 × 6800924006749893155464305961168971417625­3_<41> × 2746156096440139229939952462329743908413­73964547585372623_<57> × 1113440267..._<206> × [1099999890..._<1897>] (14.55%)

10²²²⁰+1 = 1000000000..._<2221> = 73 × 137 × 35521 × 1676321 × 9892321 × 61544617 × 99990001 × 5964848081_<10> × 54615849443593_<14> × 16444765848115921_<17> × 31495401976675753_<17> × 5158143091517340832801_<22> × 1881052756669931358587761_<25> × 4805245671633605313329281_<25> × 18837370424185047846474799441_<29> × 100009999999899989999000000010001_<33> × 7842339718903594605832160720054618017661­7061948406580747828212881_<65> × 9879587347765036607308472984299267446449­2842748785038003856042863807090965021048­0224210297181360032908354907525523774393_<120> × 7413647414915912456095291913585548438617­2984223253788796799108348614185080440835­1227914193459832509953363475917245566172­9929526151907909705700148668130193294652­504402201795631932236872015298449_<193> × [2141973864..._<502>] × [1512767593..._<1117>] (27.14%)

10²²²¹+1 = 1000000000..._<2222> = 11 × 13327 × 39979 × 11787815357_<11> × [1447470314..._<2202>] (0.89%)

10²²²²+1 = 1000000000..._<2223> = 89 × 101² × 1052788969_<10> × 1056689261_<10> × 3679329001_<10> × 19384130081_<11> × 12793360409007449_<17> × 4908990488743183603681_<22> × 5383539446793990416488818114381662511041_<40> × 1479870248985573318252709282951008209165­09_<42> × 2747096710559355357637346286256169476037­14681537231287179261_<60> × [1009999999..._<2001>] (9.99%)

10²²²³+1 = 1000000000..._<2224> = 7 × 11 × 13² × 19² × 157 × 859 × 2053 × 4447 × 6397 × 52579 × 216451 × 461917 × 1458973 × 38816051 × 60034573 × 82266809 × 1058313049_<10> × 4410785971_<10> × 388847808493_<12> × 2911579215499_<13> × 252914652748369_<15> × 384171943341499_<15> × 3663186671831779_<16> × 806455612111546801_<18> × 909090909090909091_<18> × 307010852070382484317401373_<27> × 753201806271328462547977919407_<30> × 6508684267533856834852965580950145565983­063793936631379_<55> × 3609680015682889556828657822481825871981­7914995401933354161_<59> × 4387259075771561776852018194191142555333­0513423366940280796464989101671998970339­2491612289098617653_<99> × 7851694660671039223020743416020582394261­6261812033852023976676722234797361422590­0721518268190627331693_<102> × 2368731022..._<418> × [3006666671..._<1245>] (44.02%)

10²²²⁴+1 = 1000000000..._<2225> = 353 × 449 × 641 × 1409 × 69857 × 3469441 × [2882308706..._<2202>] (1.01%)

10²²²⁵+1 = 1000000000..._<2226> = 11 × 179 × 251 × 4451 × 5051 × 9091 × 4600411 × 317384681 × 6760092011_<10> × 78875943472201_<14> × 12147237304901893_<17> × 332073601264920920030201_<24> × 425119934083432474766251_<24> × 1436873849910900920727661771706585602938­4012938971_<50> × 8085529463454134100970957657118926449470­3351351547829906051_<59> × 6308599667036354241463828431077328354879­98079409968772589281_<60> × 4180967272673252032291190917188955510245­874180001164839931077197586653_<70> × 4578874233436492255420074091728599390739­7013371281056728412584574199675937386727­3776063406076463623091465305278231306233­9754313662352611_<136> × [5284881805..._<1733>] (22.12%)

10²²²⁶+1 = 1000000000..._<2227> = 29 × 101 × 281 × 1061 × 3181 × 9901 × 125929 × 226549 × 5051749 × 121499449 × 248313269 × 1617496189_<10> × 7059580921_<10> × 4040366544061_<13> × 1138269184713223249_<19> × 4458192223320340849_<19> × 4906420449591102186036483661_<28> × 19697730718080945988100946241_<29> × 1650244260647104976802437090486126821_<37> × 245391150214875249502685807421982149521_<39> × 7527704835280872962667987585290144803454­0173569840168229_<56> × 1527859027945444456313697979780522416343­9540874769878797096077750173420678283300­3354137477138175037922165880989097169448­1902290134585191797407382076610594628578­4669_<164> × [8816140307..._<584>] × [9000219969..._<1174>] (21.03%)

10²²²⁷+1 = 1000000000..._<2228> = 11 × 103 × 263 × 4013 × 236063 × 1397382241_<10> × 21993833369_<11> × 306662501757259_<15> × 525786373041914526306757_<24> × 112506283680098168752627601991569_<33> × 1363608083180796048411168783196497071688­492468691_<49> × [4659773026..._<2075>] (6.84%)

10²²²⁸+1 = 1000000000..._<2229> = 73 × 137 × 4457 × 321357809 × 3661227841_<10> × 48065129207147089_<17> × 441659406324309521_<18> × [8982158745..._<2168>] (2.70%)

10²²²⁹+1 = 1000000000..._<2230> = 7 × 11 × 13 × 1487 × 3256026639721_<13> × 6117196793340811_<16> × 368631974486792795011_<21> × 8172691019111011124393086241_<28> × 143348597520689172713591357799289_<33> × 2722822483089541876163896892063641_<34> × 2750793293893633690646483974559334689_<37> × [2719401353..._<675>] × [3834532536..._<1370>] (8.30%)

10²²³⁰+1 = 1000000000..._<2231> = 101 × 3541 × 27961 × 1511941 × 4388641 × 9125161 × 145534261 × 2603208341_<10> × 5721432945541_<13> × 27740261651692489_<17> × 21324502683608069609_<20> × 28110300621702916301_<20> × 202541585235806968718340098089_<30> × 9513241709285351510585162662501_<31> × 1151849959315534266411044521456433499421_<40> × 6159486985016013075067913427429040588111­855293215481915322769_<61> × 4638735768..._<260> × [7192323569..._<826>] × [1004635645..._<870>] (24.00%)

10²²³¹+1 = 1000000000..._<2232> = 11 × 47 × 139 × 2531 × 4463 × 267541140731_<12> × 549797184491917_<15> × 102527361354613106010527_<24> × 442096586575707327372898973_<27> × 323338434891034089173475790125293_<33> × 2742269936605462168329562307947106658888­1_<41> × [2083809732..._<2071>] (7.20%)

10²²³²+1 = 1000000000..._<2233> = 17 × 8929 × 5882353 × 7573921 × 789592121167489_<15> × 9999999900000001_<16> × 866353530992835497979626513_<27> × 4073159644357601328532356620449_<31> × 1119946242580356142905139433307201254339­79169_<45> × 2212893713887918222645451169509853038253­459532292347577233_<58> × 6606044344042608469102813673650531547087­6521691539886208593210572807339972705125­5954484746381837884289669103543541094033­006584881480446026721_<141> × [1320320095..._<474>] × [2455096503..._<1410>] (15.66%)

10²²³³+1 = 1000000000..._<2234> = 11² × 23 × 59 × 463 × 1277 × 4093 × 8779 × 19489 × 24179 × 357281 × 590437 × 909091 × 7444361 × 243720583 × 49561573447_<11> × 235642362649_<12> × 2633162412958771_<16> × 2563963356465898129_<19> × 4539402627853030477_<19> × 4924630160315726207887_<22> × 154083204930662557781201849_<27> × 13569612563320403017443683179_<29> × 1342582464751020319415597178468299_<34> × 1963438075770260540932070878244905411_<37> × 7762772059678810794194361339307819727859­40099183_<48> × 6656280510176649041177006666533233898159­8238955516121768797834931727557023054104­07269034716016715927564139783_<109> × 6266570745..._<213> × [5557995147..._<1584>] (29.08%)

10²²³⁴+1 = 1000000000..._<2235> = 101 × 114161869 × [8672764545..._<2224>] (0.45%)

10²²³⁵+1 = 1000000000..._<2236> = 7 × 11 × 13 × 211 × 241 × 2087 × 2161 × 9091 × 49171 × 2930436343_<10> × 269809754281_<12> × 452421222259_<12> × 2079121605721_<13> × 293317433672054641_<18> × 9615683031450065714899_<22> × 110726795964772912224652481_<27> × 1654596091767978658661343653297922706352­07840943_<48> × 2737869430252705432917439814481839640694­075521336313521691938014929169431049_<76> × 3986607281..._<263> × [9934261987..._<566>] × [2338520447..._<1151>] (23.21%)

10²²³⁶+1 = 1000000000..._<2237> = 73 × 137 × 13417 × 1580801 × 113311766739494741224979664857_<30> × 277641151780258438310079109077611969_<36> × 2645778409917434965592366282025495569_<37> × 3899313584979115706106073835294410507621­7_<41> × 6325274402021507450906224122454439230492­01_<42> × 3490849329077385901705778402579215381715­0916131843303273_<56> × [6578289716..._<1983>] (11.32%)

10²²³⁷+1 = 1000000000..._<2238> = 11 × 63342893 × 22767357514468691471841957019_<29> × 13102171158192561598650176685059_<32> × [4811201259..._<2169>] (3.05%)

10²²³⁸+1 = 1000000000..._<2239> = 101 × 9901 × 58189 × [9900990099..._<744>] × [1735721510..._<1484>] (0.48%)

10²²³⁹+1 = 1000000000..._<2240> = 11 × 1963109101322803865356944619_<28> × [4630873080..._<2211>] (1.27%)

10²²⁴⁰+1 = 1000000000..._<2241> = 1236481 × 105528193 × 1265011073_<10> × 15343168188889137818369_<23> × 71496883142749489503687942051713_<32> × 275158773279860146670791344679553_<33> × 515217525265213267447869906815873_<33> × 1542602350252248803060738770010587083142­8809697868716409941105675494726401_<74> × 6482552031873142167312943483783022572986­4001110549798436483689156054427373096586­9701275128505192385103313045785608085474­7491315649889616683056463331251159743313­91224959722001218233601_<183> × 4816826731..._<312> × 8087467579..._<1530> (100.00%)

10²²⁴¹+1 = 1000000000..._<2242> = 7 × 11 × 13 × 19 × 167 × 499 × 997 × 47809 × 52579 × 116533 × 667819 × 1442209 × 2184727 × 3565183 × 11196037 × 70541929 × 2097307081_<10> × 14175966169_<11> × 86143820383_<11> × 2617340908930687_<16> × 348553294793390881_<18> × 7742098247001476863_<19> × 9431769031413300684826029009602942998788­41_<42> × 8640537866821528796307988728455578923633­637199851_<49> × 8088945454234260244205089187478561681297­5777356642824606466052114880713083291412­35925700004673611573_<100> × [3436656775..._<449>] × [8897389849..._<1453>] (15.15%)

10²²⁴²+1 = 1000000000..._<2243> = 101 × 8969 × 89681 × 430148941 × 722817036322379041_<18> × 1369778187490592461_<19> × 2301758566693739922539762779746120311824­9662502388680738607258133387102794008715­4579555293851089822885094561_<108> × [1255674016..._<2080>] (7.27%)

10²²⁴³+1 = 1000000000..._<2244> = 11 × 1682251 × 10057613 × [5373058870..._<2229>] (0.64%)

10²²⁴⁴+1 = 1000000000..._<2245> = 73 × 137 × 617 × 2377 × 2857 × 16369 × 29921 × 432961 × 13266937 × 99990001 × 152533657 × 174146369 × 6796152793_<10> × 24387741577_<11> × 1119527384827710553_<19> × 126197002179733470481_<21> × 53043011765949537815976769_<26> × 283830826522232279893972777_<27> × 16205834846012967584927082656402106953_<38> × 6555274617188258326423007086888436687780­3237222654400793_<56> × 4443238479422134375589744174203253108661­5578692097502509412995439256236377_<74> × [1919344353..._<628>] × [9999000100..._<1280>] (15.01%)

10²²⁴⁵+1 = 1000000000..._<2246> = 11 × 9091 × 10985587813_<11> × 481869541779887_<15> × 149875511372280830299739_<24> × 1979498820250457412915603811_<28> × 5788534334..._<373> × [1099989000..._<1793>] (20.18%)

10²²⁴⁶+1 = 1000000000..._<2247> = 101 × 40429 × 210460452693529_<15> × [1163630582..._<2226>] (0.93%)

10²²⁴⁷+1 = 1000000000..._<2248> = 7² × 11 × 13 × 127 × 1499 × 2689 × 28463 × 32957 × 74687 × 392263 × 459691 × 795653 × 909091 × 7569823 × 77430671767_<11> × 280267614929_<12> × 2366998879807_<13> × 194749234429526109677_<21> × 75477148962003664034473049_<26> × 899788378170104270110161037_<27> × 628293465283949443537007319053023_<33> × 56551536406585191369576818265496921_<35> × 9140689231828972552925524522037823147045­9375713794943226862262823522886708019884­51_<82> × 6816076420889383530061928052932135771677­8230565334058537113874257582950028898896­5195229201450565849237338320632962384270­5963383073925056196658386867709651975318­465023_<166> × [2280204795..._<507>] × [1175244990..._<1262>] (21.34%)

10²²⁴⁸+1 = 1000000000..._<2249> = 17 × 35969 × 5882353 × 3452049297879953_<16> × 6745372125083655405553_<22> × [1193957118..._<2199>] (2.22%)

10²²⁴⁹+1 = 1000000000..._<2250> = 11 × 859 × 9689 × 16864733 × 1058313049_<10> × 19090053482014321_<17> × 5563510205554383683546545704914850146980­3488052399095459738250346232835862545261­8143028489824347845773903751383591396913­8814438028961942675024261456156912807554­3_<161> × [5762163008..._<2048>] (8.95%)

10²²⁵⁰+1 = 1000000000..._<2251> = 61 × 101 × 181 × 601 × 1801 × 3001 × 3541 × 4001 × 9901 × 27961 × 33301 × 60101 × 76001 × 139501 × 261301 × 560701 × 1610501 × 3903901 × 4188901 × 5030101 × 7019801 × 39526741 × 168290119201_<12> × 999999000001_<12> × 14103673319201_<14> × 473217092140501_<15> × 1680588011350901_<16> × 89285503565971501_<17> × 335211072005781001_<18> × 25074091038628125301_<20> × 4999437541453012143121_<22> × 1105097795002994798105101_<25> × 3405964732740856789870552501_<28> × 38654658795718156456729958859629701_<35> × 94261556590085295495069763125952125001_<38> × 152372720018473862927761564984708391701_<39> × 2781227265549276084213926466827751101166­81922088002932901_<57> × 3660583226346343773331460442670800473179­6978480010361966001_<59> × 3288608250165718724790455719578874902068­9459942486319578774270656490822624175142­646095920001_<92> × 6209247929687718293872530970176361270188­5934873686511216074999022043451075472787­66048583639501_<94> × 9999999000000049999998999999980000001999­9999500000000000000299999999999999500000­0199999997999999900000004999999900000001_<120> × 5772836960871551629739891702941582786046­9818880675777139356960904847802229361842­0248380630725945379442486374824510236954­0143501_<127> × 1095753598287580752937421686665526964598­8921321042965274194271968826264463620760­8778914867982474582923526030684077083071­626992444546444935968523216723001_<153> × [3164805596..._<545>] × [1000000000..._<601>] (49.13%)

10²²⁵¹+1 = 1000000000..._<2252> = 11 × 337651 × [2692398094..._<2245>] (0.29%)

10²²⁵²+1 = 1000000000..._<2253> = 73 × 137 × 13513 × 869420633 × 5709793490057_<13> × [1490577125..._<2223>] (1.32%)

10²²⁵³+1 = 1000000000..._<2254> = 7 × 11 × 13 × 12534547477_<11> × [9090909090..._<750>] × [8766978631..._<1490>] (0.58%)

10²²⁵⁴+1 = 1000000000..._<2255> = 29 × 101 × 281 × 1289 × 14182169 × 121499449 × 18371524594609_<14> × 216613430183025989_<18> × 33287956302895435177961_<23> × 4181003300071669867932658901_<28> × 1009805096139614383066323378818605356821­967673241_<49> × 9999999999999900000000000000999999999999­9900000000000000999999999999990000000000­0001_<84> × 4617409966317766554788668533405686826442­1940909108239479144366358071337476676592­5939715141806626504158292928487889387900­5928553193826692398321349887540466176358­283350940672581933619840253537612607049_<199> × [2118215838..._<1819>] (19.33%)

10²²⁵⁵+1 = 1000000000..._<2256> = 11² × 23 × 331 × 4093 × 5171 × 8779 × 9091 × 72161 × 298693693 × 20163494891_<11> × 154635963745622041_<18> × 2670502781396266997_<19> × 3404193829806058997303_<22> × 318727841165674579776721_<24> × 436026711667335044426416921_<27> × 6960601670540648499100047151502378472612­2029891_<47> × 2522755993328297304992975667536987368752­4422119109873612963516263168625757367193­4071328913935425167793515435649973267232­99457284056291_<134> × 5290781804..._<345> × [8147016753..._<1578>] (30.03%)

10²²⁵⁶+1 = 1000000000..._<2257> = 97 × 353 × 449 × 641 × 1409 × 4513 × 69857 × 206209 × 66554101249_<11> × 795439669537_<12> × 75118313082913_<14> × 312910899745589556275258593_<27> × [8902392316..._<694>] × [1000000000..._<1473>] (3.99%)

10²²⁵⁷+1 = 1000000000..._<2258> = 11 × 7253 × 22571 × 81131 × 58591721 × 422650073734453_<15> × 296557347313446299_<18> × 58988071364250068151049_<23> × 1120522253011683685532152825789043757514­5023592596037161_<56> × [1410072467..._<2126>] (5.84%)

10²²⁵⁸+1 = 1000000000..._<2259> = 101 × 839310559389284364084629_<24> × 2434684827527570165683501_<25> × 8231189949766405795680405749_<28> × [5886410781..._<2180>] (3.46%)

10²²⁵⁹+1 = 1000000000..._<2260> = 7 × 11 × 13 × 19 × 503 × 52579 × 105288979 × 5213439677_<10> × 89115964183_<11> × 191218066969_<12> × 1543972898449_<13> × 6392427361093_<13> × 799168560350388247_<18> × 4067568702062638144916699_<25> × 17764334637927138067713031681_<29> × 978560408745534111974975969893_<30> × 2212012955306294098346533984373_<31> × 1756473376297178637489284481878718601_<37> × 2168919673458270805366079489123268990953­8844325990924677397646308082829007403196­5973633772569660745844474775816881614567­23290029877534439668145537718911503_<155> × [4861154191..._<432>] × [9302782407..._<1429>] (17.63%)

10²²⁶⁰+1 = 1000000000..._<2261> = 73 × 137 × 36161 × 1676321 × 42777281 × 217294481 × 5691376081_<10> × 5964848081_<10> × 303412403761_<12> × 390616356961_<12> × 3004663012668187601_<19> × 23496896216135822356297_<23> × 62575127921627864148198721_<26> × [1145207867..._<390>] × [8717748105..._<1731>] (6.19%)

10²²⁶¹+1 = 1000000000..._<2262> = 11 × 103 × 647 × 4013 × 13567 × 108529 × 738379 × 909091 × 1098847 × 1446176299_<10> × 1685362967_<10> × 1868879293_<10> × 21993833369_<11> × 1644353478367_<13> × 909090909090909091_<18> × 11412245805463289333_<20> × 1078893279821424911891_<22> × 5673320472670315859129_<22> × 247025236977306025681323889_<27> × 498980288509112776905048259_<27> × 139370164384644050314672704643967_<33> × 6182864575832214084266614451996269641748­7_<41> × 7202140393374612642649166575446551001787­7_<41> × 1037466478304215512424864306226369010022­36971549990724717454338463_<66> × 2987053727365543517891562941440901383909­16509553983003911433879637774413_<72> × 4003562041819915994877635076325214047747­2791476548845372200559635028684381015278­9528224284608004363459364126945546729824­8282983860841630216482187769760112443455­4975414863_<170> × [3152443419..._<1622>] (28.28%)

10²²⁶²+1 = 1000000000..._<2263> = 101 × 349 × 521 × 3121 × 9049 × 9901 × 38861 × 618049 × 997369 × 594250021 × 2081839241_<10> × 5048897101_<10> × 114550003829_<12> × 14583568490089_<14> × 53397071018461_<14> × 15565833747318241_<17> × 257100336175162366849_<21> × 1900381976777332243781_<22> × 157002934023127338801841_<24> × 4477350074169470752905544969081_<31> × 6060517860310398033985611921721_<31> × 925473240150495502771483432977308389_<36> × 1181180637520183640867963573625866958318­7541_<44> × [5751998314..._<629>] × [7161543299..._<1311>] (14.25%)

10²²⁶³+1 = 1000000000..._<2264> = 11 × 293 × 27314773463860978668379_<23> × 10826684964539959837294043117_<29> × 909090909090909090909090909091_<30> × 2865788889761949979999225923309086021030­11_<42> × [4027124740..._<2138>] (5.54%)

10²²⁶⁴+1 = 1000000000..._<2265> = 17 × 1797617 × 5882353 × [5562920188..._<2250>] (0.63%)

10²²⁶⁵+1 = 1000000000..._<2266> = 7 × 11 × 13 × 211 × 241 × 2161 × 9091 × 22651 × 72481 × 9463171 × 181288487 × 5780201179_<10> × 153653579173_<12> × 352415012896091_<15> × 5709307758717571_<16> × 12331942624071394811_<20> × 36117943403747426761_<20> × 595697094980552946577201_<24> × 154008305796493360639546122691_<30> × 2646756758131654397378192081701748003041­997_<43> × 9998823061783773451618898466551985927663­47086896770989636138585751423_<69> × 2622958847..._<286> × [4339062946..._<517>] × [1614297466..._<1170>] (25.57%)

10²²⁶⁶+1 = 1000000000..._<2267> = 89 × 101 × 801341 × 1052788969_<10> × 1056689261_<10> × 10705852961_<11> × 29286597879221_<14> × 33670587927455442579575167786879669_<35> × 9500057548693798868143517047713605498482­1_<41> × 1318910733231022335502996334021907185470­0685799054091470161603102678459019911637­791726472505162050327675229109_<110> × [9434091834..._<2030>] (10.42%)

10²²⁶⁷+1 = 1000000000..._<2268> = 11 × 144335357 × [6298463023..._<2258>] (0.41%)

10²²⁶⁸+1 = 1000000000..._<2269> = 73 × 137 × 3169 × 7841 × 98641 × 68562937 × 99990001 × 198454537 × 11189053009_<11> × 41593295521_<11> × 3199044596370769_<16> × 7596146397893257_<16> × 603812429055411913_<18> × 127522001020150503761_<21> × 148029423400750506553_<21> × 7064204436768358634702473_<25> × 1726290008991504500177463302688697_<34> × 579276943498154282123686999881829009033_<39> × 4359992252543206482185083495172767980765­7_<41> × 8412754911007788081960885806789768051116­9_<41> × 4045527636074852874244256082968844875121­5185778145671171534342753113_<68> × 3345221423650844757330057887630696655974­2891484387246195383469010412091448793471­5334187622132844561179868971005307865589­6960934716754311764809081946966357559506­57968289_<168> × [1000000000..._<433>] × [6633544422..._<1272>] (24.88%)

10²²⁶⁹+1 = 1000000000..._<2270> = 11 × 1424933 × 17331586464960997_<17> × 1032296148474774793202063_<25> × [3565908912..._<2222>] (2.09%)

10²²⁷⁰+1 = 1000000000..._<2271> = 101 × 3541 × 27961 × 46309 × 59021 × 108961 × 681001 × 11799461 × 709591748375456801_<18> × 3802416727162854360879394522289_<31> × 5622811333..._<417> × [3095510397..._<875>] × [8898012004..._<893>] (22.14%)

10²²⁷¹+1 = 1000000000..._<2272> = 7 × 11 × 13 × 172597 × 637682333731_<12> × 1003045981013_<13> × [1421287993..._<733>] × [6366860947..._<1507>] (1.41%)

10²²⁷²+1 = 1000000000..._<2273> = 13633 × 19841 × 976193 × 6187457 × 126133355633281_<15> × 834427406578561_<15> × [5815386922..._<2222>] (2.21%)

10²²⁷³+1 = 1000000000..._<2274> = 11 × 504607 × [1801582041..._<2267>] (0.30%)

10²²⁷⁴+1 = 1000000000..._<2275> = 101 × 4549 × 9901 × 277245970849_<12> × 70488629165410024923533836947449_<32> × 44887575928905286113423498281744593061_<38> × [6878875859..._<683>] × [3642970849..._<1501>] (3.98%)

10²²⁷⁵+1 = 1000000000..._<2276> = 11 × 131 × 251 × 859 × 5051 × 9091 × 107251 × 909091 × 4147571 × 4271801 × 21705503 × 1058313049_<10> × 3612546001_<10> × 82009322851_<11> × 299547376801_<12> × 2475034612051_<13> × 78875943472201_<14> × 1081846114760321_<16> × 46205575684179731_<17> × 265212793249617641_<18> × 1228724942316198601_<19> × 318942474614140390001_<21> × 541368850415085015591451_<24> × 16586780973303009819357826001_<29> × 8396862596258693901610602298557167100076­327481_<46> × 5009499553764433156007921686514205741644­754894222691_<52> × 5067838741170388910175912578529043989438­9920385627096501794498837_<65> × 5155980583494268934255123245395069977106­0820328070035168090472947360446489351242­6851_<84> × 9241137585308473837647875304009126599764­6354969374382095286967217633444509064918­2638712486115217201_<99> × 1618471741300957926037194539868177094144­6381711386794528198581933829095273175764­3195331250705338664714884091786251_<114> × 1466817919595327188231351160432180116180­2135429614673632851403034957825865582773­9679483747341180926907303679883240476304­5989876001215861751553184924252035281973­147552669068625063450431325422201_<193> × [9063284428..._<1370>] (39.78%)

10²²⁷⁶+1 = 1000000000..._<2277> = 73 × 137 × [9999000099..._<2272>] (0.18%)

10²²⁷⁷+1 = 1000000000..._<2278> = 7 × 11² × 13 × 19 × 23² × 47 × 139 × 2531 × 4093 × 8779 × 31051 × 52579 × 176089 × 6866927 × 599144041 × 7093127053_<10> × 37916801893_<11> × 183411838171_<12> × 272168891611_<12> × 143574021480139_<15> × 549797184491917_<15> × 143409436964525899_<18> × 287153457443328169_<18> × 776471438412978001_<18> × 134411715692212607377411_<24> × 831759677425747570837717_<24> × 24649445347649059192745899_<26> × 117680633072620952134930832292859_<33> × 2832165561296805799533565929552471103_<37> × 734596899604121334094674312265986668491_<39> × 1880709802856952955373413305337158032187­793270681_<49> × 1411225248778861822822335393177961449383­05111168717_<51> × 5181616821054419379398089043147253841557­1334188381106616809835077169803782358320­2138442087113080605799348512678760456904­9916282420132402437223582964524090767945­91284845951908904139995059681_<189> × [8634288537..._<369>] × [4735902820..._<1264>] (28.30%)

10²²⁷⁸+1 = 1000000000..._<2279> = 101 × 269 × 4021 × 28559389 × 260587121 × 1491383821_<10> × 2324557465671829_<16> × 94927228208573594069_<20> × 550851521313164297656169_<24> × 2302527353565357450759725122262880394277­261_<43> × 1607103056527759457698658255252179917706­5559188277159741_<56> × [1833524935..._<2089>] (8.33%)

10²²⁷⁹+1 = 1000000000..._<2280> = 11 × 57009401 × 2182600451_<10> × 7306116556571817748755241_<25> × 9090909090909090909090909090909090909090­909090909091_<52> × [1099999999..._<2185>] (4.17%)

10²²⁸⁰+1 = 1000000000..._<2281> = 17 × 134369 × 246241 × 1231201 × 1532161 × 5070721 × 5882353 × 1132716961_<10> × 1321843681_<10> × 31735795756961_<14> × 1893264050599841_<16> × 9999999900000001_<16> × 605360806791076801_<18> × 19721061166646717498359681_<26> × 281259985248437790051014401_<27> × 7865110274657230201779070033_<28> × 31388506438433752927908678241_<29> × 2814641885695164503279574218840160746078­05300753_<48> × 2345046820394523854722286018373912171012­6330850830571913874990515654086653442723­8711769806579683320997636600725852987602­204289_<126> × 4517228317..._<213> × [2799983374..._<549>] × [5075107320..._<1120>] (26.84%)

10²²⁸¹+1 = 1000000000..._<2282> = 11 × 13687 × 5157583830415157_<16> × [1287812843..._<2261>] (0.92%)

10²²⁸²+1 = 1000000000..._<2283> = 29 × 101 × 281 × 182561 × 479221 × 3203929 × 121499449 × 144347759389_<12> × 498698470009_<12> × 76232914055207003005318654163381_<32> × 2604342325..._<281> × [2496229988..._<1916>] (16.06%)

10²²⁸³+1 = 1000000000..._<2284> = 7 × 11 × 13 × 4567 × 9133 × 39436456769_<11> × 9194565524902920080058347583331_<31> × [2524038465..._<746>] × [2616955778..._<1486>] (2.29%)

10²²⁸⁴+1 = 1000000000..._<2285> = 73 × 137 × 84476666163602736427766705113_<29> × [1183640471..._<2252>] (1.44%)

10²²⁸⁵+1 = 1000000000..._<2286> = 11 × 9091 × 2804755241_<10> × 199276489717_<12> × 933702992891_<12> × 94817351931121_<14> × [1626508293..._<436>] × [1242486758..._<1799>] (2.26%)

10²²⁸⁶+1 = 1000000000..._<2287> = 101 × 509 × 3049 × 7621 × 9901 × 86869 × 70983349 × 999999000001_<12> × 47363086944961_<14> × 503340347310181_<15> × 621385610460229_<15> × 1643031444531412945030981_<25> × 2844397351..._<214> × [1980578281..._<453>] × [1000000999..._<1513>] (14.07%)

10²²⁸⁷+1 = 1000000000..._<2288> = 11 × 9303517 × [9771475766..._<2279>] (0.35%)

10²²⁸⁸+1 = 1000000000..._<2289> = 353 × 449 × 641 × 1409 × 11969 × 69857 × 4913921 × 19725473 × 310348897 × 35439976001_<11> × 40336502753_<11> × 470909313601_<12> × 3509683416097_<13> × 4534037883233_<13> × 754651871841089_<15> × 49190086416352961_<17> × 3610577595400972880729372479797253529720­5518185340826569980047852155932659115309­4457376181755912540092512773699689532234­798987224827675649_<138> × 3385712628753289239019454468275018070505­6727269149496594755320455272870740814407­0214357217318801663936431733367877452215­20888878951616858121601_<143> × [5713513878..._<1876>] (18.02%)

10²²⁸⁹+1 = 1000000000..._<2290> = 7² × 11 × 13 × 127 × 2689 × 9157 × 283837 × 459691 × 909091 × 3758539 × 17788583 × 3338786746233023_<16> × 8333861613298742126117_<22> × 14060959683864286267405933000927102019_<38> × 1936438332114871929518057885332574185585­8987848620134943_<56> × 1098901098..._<217> × [2614183051..._<614>] × [2644046937..._<1286>] (17.05%)

10²²⁹⁰+1 = 1000000000..._<2291> = 101 × 2749 × 3541 × 27481 × 27961 × 64083361 × 3269576042561_<13> × 200979643441189_<15> × 445259998432021_<15> × 552153310394909_<15> × 12327385417533061_<17> × 316898171772439441_<18> × 1158022012504343321_<19> × 164938889757660593881_<21> × 16419871362498643531654501_<26> × 49387230993268625648913499473701_<32> × 55716151681286950012687536379206961_<35> × [5825202438..._<389>] × 2158832693..._<824> × [3015813170..._<833>] (46.67%)

10²²⁹¹+1 = 1000000000..._<2292> = 11 × 59 × 1423 × 4583 × 18329 × 96223 × 9615060929_<10> × 154083204930662557781201849_<27> × 6644317454149057909799751015802107695839­2938976011506949065646573_<65> × [1360896708..._<2172>] (5.23%)

10²²⁹²+1 = 1000000000..._<2293> = 73 × 137 × 161969 × 5056153 × 99990001 × 8464809710844890517494016141257_<31> × [7293021137..._<724>] × [1977986030..._<1514>] (2.39%)

10²²⁹³+1 = 1000000000..._<2294> = 11 × 9173 × 9231619 × 2739578549689772712241_<22> × [3918630296..._<2260>] (1.46%)

10²²⁹⁴+1 = 1000000000..._<2295> = 101 × 149 × 3109 × 111149 × 2049349 × 708840373781_<12> × 275891662525201_<15> × 669031686661427842829_<21> × 40548140514062774758071840361_<29> × 4831285495545122373055545883590398223973­07149685578249_<54> × [3660857275..._<2146>] (6.47%)

10²²⁹⁵+1 = 1000000000..._<2296> = 7 × 11 × 13 × 19 × 103 × 211 × 241 × 1531 × 2161 × 4013 × 6481 × 9091 × 29611 × 52579 × 87211 × 102001 × 2142001 × 3762091 × 5364487 × 70541929 × 787223761 × 832339891 × 14175966169_<11> × 21993833369_<11> × 276402747619_<12> × 291078844423_<12> × 577603663291_<12> × 2405782797823_<13> × 5516286288241_<13> × 7947357582331_<13> × 8985695684401_<13> × 12804651623971_<14> × 31023833790241_<14> × 40984651817371_<14> × 41162450759641_<14> × 377526955309799110357_<21> × 2382890985664626491011_<22> × 236186599173787727067007_<24> × 4270914986978327797975291_<25> × 1542058095171337761407296983481_<31> × 66100563990202822332249953159641_<32> × 216219010761333454086082249502131_<33> × 8610583349234340055547908764091017276717­091_<43> × 1573934772575790000929935727527896834161­20273639369_<51> × 1602207948210144520667419183035809176643­86555934641_<51> × 1751377255623375797906517491961205878072­33668420015131_<54> × 1556103065..._<220> × [1564512225..._<342>] × [2721416976..._<1101>] (37.18%)

10²²⁹⁶+1 = 1000000000..._<2297> = 17 × 113 × 5882353 × 6051298241_<10> × 1904211997297_<13> × 48656086054529_<14> × 73765755896403138401_<20> × 119968369144846370226083377_<27> × 669995415570582921859463287135169_<33> × 1879812448133240948450289423505051909583­4690259132073729_<56> × 3849768706134664981729511785296829962099­5218286740952471394479857_<65> × 7004760271724732648212097668225215140540­7090546684529615189261395153318760389164­5634196734073741683247230607581692473423­461149663662946076318737_<144> × [5251516172..._<1908>] (16.91%)

10²²⁹⁷+1 = 1000000000..._<2298> = 11 × 29948287 × 682815409 × 314051758104128053978889_<24> × 34570548950880197047394881_<26> × [4094722834..._<2231>] (2.89%)

10²²⁹⁸+1 = 1000000000..._<2299> = 101 × 9901 × 183769529 × 31867767781_<11> × 15345447877504704592586558701_<29> × [5387721322..._<756>] × [2065331302..._<1490>] (2.30%)

10²²⁹⁹+1 = 1000000000..._<2300> = 11³ × 23 × 419 × 4093 × 4357 × 8779 × 25169 × 85691 × 258743 × 1485397 × 27535507760641_<14> × 909090909090909091_<18> × 102502981431359171598893_<24> × 5444710013725792963322916526756467746442­08265246405598834086237345292487_<72> × 1184063086040147380329868803939835534836­9873648652373709121433689111103721666356­9858459578047055026965068496734007753047­7246997846873893490310131726641084013831­34457213_<168> × [3631674449..._<1967>] (14.46%)

10²³⁰⁰+1 = 1000000000..._<2301> = 73 × 137 × 401 × 1201 × 1601 × 2393 × 18401 × 1676321 × 5964848081_<10> × 1071705393820118955003204401_<28> × 1296944190290577505513857711845642744990­75700947656757821537291527196801_<72> × 4178437150016715837818641871709193476807­7726285039694944003301299623485206849143­75257_<85> × [1000099999..._<353>] × [5070877955..._<1729>] (9.53%)