10²⁵⁰¹+1 = 1000000000..._<2502> = 11 × 81131 × 2670502781396266997_<19> × 3404193829806058997303_<22> × 522346250245015592799109827193626997_<36> × 9257979664211852962861062975013161250901­383_<43> × 1120522253011683685532152825789043757514­5023592596037161_<56> × [2274667807..._<2322>] (7.18%)

10²⁵⁰²+1 = 1000000000..._<2503> = 101 × 1669 × 9901 × 10009 × 2420269 × 94869169 × 316045969 × 999999000001_<12> × 35612816445873361_<17> × 154220035640400941_<18> × 55429120655142293701_<20> × 112055960419281090008995224529_<30> × 681395720294658810682438883431201_<33> × 2256620385195547580971963636990419029428­6729_<44> × 5389783657965083045690889312930975376749­17585678041_<51> × 1757855013584091345691131668356707515113­2274090424405862513992032108985729_<74> × 1799155074645263677888568684590719168648­3610285262887318124980694534367263929242­005840749_<89> × [2042596332..._<497>] × [4516795963..._<1587>] (16.75%)

10²⁵⁰³+1 = 1000000000..._<2504> = 11 × 85103 × 2878451 × 10926536129_<11> × 1905473841391051_<16> × 1782453081..._<2466> (100.00%)

10²⁵⁰⁴+1 = 1000000000..._<2505> = 17 × 5882353 × 697494209 × 8483196433_<10> × [1690051216..._<2478>] (1.07%)

10²⁵⁰⁵+1 = 1000000000..._<2506> = 7 × 11 × 13 × 211 × 241 × 2161 × 5011 × 9091 × 63716179 × 107154371983_<12> × 36022606341394182241_<20> × 116011189311149998139_<21> × 272828068791212993437_<21> × 4551304599799744355996136613_<28> × 461278897961764513411218521401_<30> × 3373655510986818739235196204547769790250­8313099_<47> × 3991682749552894902673962957124418797917­278009299_<49> × 3015252949189504320875202981299415587115­51656822567015411_<57> × 1495012804425531262945788741160430069296­6728690551568705030373_<62> × 1673231604783581202191614925998671476588­0504506685421534879636783942469103682008­1117874949263758935227680048722737445473­4584105258179583258226198219279441096528­046762469147380935906915618783308520809_<199> × [4758831767..._<631>] × [2526216707..._<1309>] (22.59%)

10²⁵⁰⁶+1 = 1000000000..._<2507> = 29 × 101 × 281 × 121499449 × 530819489 × 7788750761855821_<16> × [2394770832..._<332>] × [1009999999..._<2137>] (1.54%)

10²⁵⁰⁷+1 = 1000000000..._<2508> = 11 × 47 × 139 × 2531 × 60169 × 65183 × 549797184491917_<15> × 3338786746233023_<16> × 14060959683864286267405933000927102019_<38> × 1936438332114871929518057885332574185585­8987848620134943_<56> × 2804694396..._<2367> (100.00%)

10²⁵⁰⁸+1 = 1000000000..._<2509> = 73 × 137 × 457 × 617 × 2377 × 6689 × 16369 × 27817 × 135433 × 432961 × 1403417 × 5166481 × 99990001 × 376102873 × 6796152793_<10> × 24387741577_<11> × 36120612721_<11> × 5240808656722481737_<19> × 126197002179733470481_<21> × 820004198104771341817_<21> × 23031241974699402181708609_<26> × 283830826522232279893972777_<27> × 13591271120229398317886003161009_<32> × 23158577135309255466647638358377_<32> × 16205834846012967584927082656402106953_<38> × 2974783307863656284148053052903024835550­43017_<45> × 1947203319137605460749061613759302679230­7169586329967874918737775454375796284178­5054377649_<90> × [1103971171..._<712>] × [4425032139..._<1356>] (17.60%)

10²⁵⁰⁹+1 = 1000000000..._<2510> = 11 × 859 × 1931 × 10037 × 1430131 × 166376423 × 282894769 × 1058313049_<10> × 13106298984001244218783_<23> × 1971303592086415433699486018997726858813­1479788059136184198723981290523755287675­8580360078419442702688883521253076425640­4612155186751987040696800248062364073483­74092599681_<171> × [2966796084..._<2274>] (9.39%)

10²⁵¹⁰+1 = 1000000000..._<2511> = 101 × 3541 × 5021 × 15061 × 27961 × 35141 × 162649 × 15893321 × 34582781 × 117412781 × 877561261 × 8781864634980901_<16> × 74807386176380021_<17> × 49156857924868353161_<20> × 7787188843931699008561_<22> × 4275063964888153570238143950361_<31> × 19865883513841398705494094049167881_<35> × 2158935103..._<452> × [2850829283..._<922>] × [3107890630..._<939>] (25.90%)

10²⁵¹¹+1 = 1000000000..._<2512> = 7 × 11 × 13 × 19 × 373 × 1117 × 1459 × 5023 × 20089 × 44641 × 52579 × 70541929 × 2458921051_<10> × 3590254957_<10> × 14175966169_<11> × 261315626851_<12> × 456502382570032651_<18> × 610600386089858349939139_<24> × 909090909090909090909090909091_<30> × 183372282864547916749018225828651_<33> × 108131551600520034721722272883130729_<36> × 1838190726228124463315819067778696666309­1011_<44> × 4887054837129490444185770642291712106451­4457084666434832708876218571635120769270­9355690283279269679651852988021899348479­8134507347686651311824503_<145> × [7045616588..._<490>] × [4977848573..._<1616>] (16.15%)

10²⁵¹²+1 = 1000000000..._<2513> = 353 × 449 × 641 × 1409 × 69857 × 609220289 × [1641442378..._<2488>] (0.99%)

10²⁵¹³+1 = 1000000000..._<2514> = 11 × 25849 × 909091 × 19210610797963667218565939_<26> × 206317525449270759638548304557_<30> × 2731764846587782091546914066524656594612­608438032609803989298453_<64> × [6701608956..._<265>] × [5331587259..._<2119>] (5.15%)

10²⁵¹⁴+1 = 1000000000..._<2515> = 101 × 9901 × 30169 × 1030741 × 3694282184532746187389_<22> × 6104774989353056000147746129_<28> × 45115562873269905501469036909_<29> × 1683735308680418754311470527721_<31> × 48399906424442267926223136380644501_<35> × [1591749570..._<785>] × [2436519602..._<1571>] (6.34%)

10²⁵¹⁵+1 = 1000000000..._<2516> = 11 × 9091 × 522325748166690961_<18> × [9090909090..._<502>] × [2105944430..._<1991>] (0.90%)

10²⁵¹⁶+1 = 1000000000..._<2517> = 73 × 137 × 50321 × 19020961 × 61544617 × 152533657 × 38175539729_<11> × 263470794953_<12> × 1309034769146777_<16> × 16444765848115921_<17> × 6683957970735097993_<19> × 6555274617188258326423007086888436687780­3237222654400793_<56> × 9879587347765036607308472984299267446449­2842748785038003856042863807090965021048­0224210297181360032908354907525523774393_<120> × [1187296395..._<2237>] (11.13%)

10²⁵¹⁷+1 = 1000000000..._<2518> = 7 × 11 × 13 × 25171 × 107314813 × 6019610075586611191360847_<25> × 4395225577825309207971784237_<28> × 7131794437527456792116415477675332097533­03_<42> × [1973242516..._<764>] × [9932920707..._<1644>] (4.36%)

10²⁵¹⁸+1 = 1000000000..._<2519> = 101 × 21493649 × 46987264901_<11> × 4214425096681_<13> × [2326215625..._<2486>] (1.30%)

10²⁵¹⁹+1 = 1000000000..._<2520> = 11² × 23 × 4093 × 8779 × 2317091604522004723965449_<25> × 2212236817374327109435022561220753426295­7_<41> × 1327080770360051827311085848069503304359­5534787235597140531_<59> × 1336395914067475494619360928220680511145­1988579353305502489853541907429637950525­53003443246310484435548877_<106> × [1099999999..._<2281>] (9.49%)

10²⁵²⁰+1 = 1000000000..._<2521> = 17 × 113 × 337 × 3361 × 8929 × 20161 × 1378721 × 5070721 × 5882353 × 1132716961_<10> × 5758943337281_<13> × 75500478859681_<14> × 9999999900000001_<16> × 73765755896403138401_<20> × 6717658458758041138199521_<25> × 14636399401905958775427841_<26> × 19721061166646717498359681_<26> × 119968369144846370226083377_<27> × 281259985248437790051014401_<27> × 826427348932069065539097601_<27> × 31388506438433752927908678241_<29> × 2070270028985341766616009080161_<31> × 681246048580017390433849414006037281_<36> × 1081862991605594332069477594870669601_<37> × 1114737869182936469693737960974486017089_<40> × 1119946242580356142905139433307201254339­79169_<45> × 7048825036889724792070988576679306254761­6862669921_<50> × 2582785559040998185916696136639544586696­154922477921_<52> × 2458520835510512175414654124612029223953­95232640413677301754561_<63> × 1433319827159466789806966856379479179916­136529424792832495021393_<64> × 1182479250391477638386549290101910067046­0517256833712771719617457_<65> × 3871788722449359058897720807807102936880­4554488143036175468457327094122416016469­8232378629400751141017399632124896823872­033355066626985720481_<141> × 7586364693314701559182826840192398626198­6397730196168081539267851470929961346053­3606458533588747771269201779588838754037­5033677584427170052476698256022115031025­6906229475838502330430737_<185> × 3471850615..._<300> × [6832281441..._<1127>] (55.28%)

10²⁵²¹+1 = 1000000000..._<2522> = 11 × 54072907292576561_<17> × 122405201850384889312889_<24> × [1373497014..._<2481>] (1.62%)

10²⁵²²+1 = 1000000000..._<2523> = 101 × 389 × 521 × 136189 × 1900381976777332243781_<22> × 898484614742435248795384427389_<30> × 7841265533423516760616281051300442061096­6509546603404268745999503561001_<71> × 3245957760067555786094253757954702020796­0799876413377335594586605416959347268194­103170247296625068200526946320832808609_<119> × [8254080458..._<2269>] (10.04%)

10²⁵²³+1 = 1000000000..._<2524> = 7 × 11 × 13 × 59 × 176611 × 3464921 × 119226889 × 638453709757_<12> × 31208910232441_<14> × 135080726389891_<15> × 279730811663731_<15> × 5708922049340287_<16> × 154083204930662557781201849_<27> × 1274194732898148471766404179653_<31> × 1630777462352881403814023114519396413_<37> × [2978274529..._<718>] × [5662161473..._<1619>] (7.40%)

10²⁵²⁴+1 = 1000000000..._<2525> = 73 × 137 × 1347817 × 10782529 × 24016751116761447569489_<23> × [2864776533..._<2485>] (1.57%)

10²⁵²⁵+1 = 1000000000..._<2526> = 11 × 251 × 607 × 809 × 1213 × 5051 × 9091 × 178241771 × 1327067281_<10> × 78875943472201_<14> × 1011343309515211_<16> × 5782345697661601_<16> × 10013779702381498531_<20> × 156514384347514272257251_<24> × 2137610198133903210926015051_<28> × 1150049039411782458546879600357516307683­6624586334794818271756072956027758946488­969_<83> × 6093716070..._<358> × [5169130785..._<1934>] (23.42%)

10²⁵²⁶+1 = 1000000000..._<2527> = 101 × 9901 × 60624001 × 30374617640449_<14> × 284806981346628361_<18> × 1923449716625508568977467261_<28> × 2247655167439226784970227794185484982678­1_<41> × [7539755905..._<759>] × 5849593856..._<1655> (69.96%)

10²⁵²⁷+1 = 1000000000..._<2528> = 11 × 43321 × 60649 × 909091 × 909090909090909091_<18> × 283504953263765981441_<21> × 247025236977306025681323889_<27> × 169713561095221779668217237487_<30> × 1358096129569726808048754943201_<31> × 6182864575832214084266614451996269641748­7_<41> × 7202140393374612642649166575446551001787­7_<41> × 5140192330491733331414521378576126342075­768810496980939_<55> × 3223374037812410694155224757327965568352­798312019085047331_<58> × 1393193546..._<226> × [2523298599..._<1968>] (22.14%)

10²⁵²⁸+1 = 1000000000..._<2529> = 19841 × 257857 × 976193 × 6187457 × 191510247809_<12> × 834427406578561_<15> × 24217557668390306359169_<23> × 11293715911607412802561853633_<29> × [7403922335..._<2429>] (3.92%)

10²⁵²⁹+1 = 1000000000..._<2530> = 7 × 11 × 13 × 19 × 5059 × 52579 × 236016397 × 55667235241_<11> × 6560496291091_<13> × 4917833840230807_<16> × 180885872382193545247_<21> × 58513940129535379432477007_<26> × 1431135121058581084714805848152798178115­6825517304025972437630442871247925720843­19412841582786640330468733_<106> × 1654743324648052017434917920719343388118­1252010316221293841402155991914006665222­5037848628410922623655327402658744071445­59674728417785771_<137> × [2234522626..._<545>] × [8325741457..._<1637>] (13.75%)

10²⁵³⁰+1 = 1000000000..._<2531> = 89 × 101 × 461 × 661 × 1289 × 3541 × 18041 × 27961 × 148721 × 509681 × 13687301 × 18878861 × 1052788969_<10> × 1056689261_<10> × 1121407321_<10> × 48358465541_<11> × 93744372901_<11> × 1380874339021_<13> × 4107757827661_<13> × 18371524594609_<14> × 8225357978845859081_<19> × 439120676164610394481_<21> × 53567677337920222626622001_<26> × 1395900370916327245555441901_<28> × 4181003300071669867932658901_<28> × 12618302246788689711565695281_<29> × 354969305477178480614478251861_<30> × 36380545029953205956377406702261_<32> × 102312134712463700602953982768261_<33> × 205091346557483823616165925832292741_<36> × 69691163546816853278309618463969524441_<38> × 8706477230774434247302401224903949603507­73424147330153671641266669332491181_<75> × [1148531028..._<375>] × 3446670730..._<757> × [1481089331..._<874>] (50.70%)

10²⁵³¹+1 = 1000000000..._<2532> = 11 × 2722936246988371_<16> × [3338641916..._<2515>] (0.65%)

10²⁵³²+1 = 1000000000..._<2533> = 73 × 137 × 111409 × 167113 × 9165841 × 99990001 × 52816940406092138527647186529_<29> × [9999000099..._<840>] × [1109602321..._<1635>] (2.29%)

10²⁵³³+1 = 1000000000..._<2534> = 11 × 103 × 2087 × 4013 × 238103 × 21993833369_<11> × 9615683031450065714899_<22> × 1654596091767978658661343653297922706352­07840943_<48> × 2737869430252705432917439814481839640694­075521336313521691938014929169431049_<76> × [4619849392..._<2363>] (6.72%)

10²⁵³⁴+1 = 1000000000..._<2535> = 29 × 101 × 281 × 121499449 × 928417781 × 469968172441_<12> × 2136569912461_<13> × 15470952779187481_<17> × 3467369151629862044701_<22> × 314547891171506427278717744569_<30> × 2278010629257235173065873023473821640439­4547689_<47> × 2763057708..._<214> × [1009999999..._<2161>] (14.76%)

10²⁵³⁵+1 = 1000000000..._<2536> = 7 × 11 × 13³ × 131 × 157 × 211 × 241 × 677 × 859 × 2161 × 6397 × 6761 × 9091 × 15601 × 35491 × 216451 × 925081 × 436623331 × 987001237 × 1058313049_<10> × 15762546853_<11> × 388847808493_<12> × 112389066692347771_<18> × 2132178310436954247617371_<25> × 8396862596258693901610602298557167100076­327481_<46> × 1592730232155679902273246343099578009020­762979379345291_<55> × 6305412991157180194163926340576846142599­9152026392552531582926655481271974023945­336611_<86> × 9396181793001671106914228395252953637292­3039994594561690888076477964771217059054­7747265739_<90> × [4342163700..._<284>] × [6936901740..._<596>] × 6453195542..._<1235> (65.31%)

10²⁵³⁶+1 = 1000000000..._<2537> = 17 × 5340817 × 5882353 × 143862209 × [1301504199..._<2514>] (0.90%)

10²⁵³⁷+1 = 1000000000..._<2538> = 11 × 1889 × 57009401 × 2182600451_<10> × 1090805842068098677837_<22> × 7306116556571817748755241_<25> × 4411922770996074109644535362851087_<34> × [1099999999..._<2437>] (3.98%)

10²⁵³⁸+1 = 1000000000..._<2539> = 101 × 109 × 1129 × 9901 × 45121 × 153469 × 999999000001_<12> × 3792128943527581_<16> × 59779577156334533866654838281_<29> × 2246285860430986548506215527001_<31> × 2144906157509411684424913774078958939881_<40> × 1023037643093214557651333120422980213172­396059301_<49> × 4416594546258097201926470552762575286378­32621638030289_<54> × 2377887731204762925852743951147119066491­6585162920869352217582651463222567423724­41_<82> × [1000000999..._<553>] × [1000000000..._<1657>] (13.00%)

10²⁵³⁹+1 = 1000000000..._<2540> = 11 × 1533557 × 7063499 × 191339041 × 193835759978169243928373_<24> × [2262820006..._<2494>] (1.80%)

10²⁵⁴⁰+1 = 1000000000..._<2541> = 73 × 137 × 1676321 × 3921761 × 3988541681_<10> × 5964848081_<10> × 3031161171601_<13> × 764515044486144085977569_<24> × 2575212027850692464577982171078840918884­244921649_<49> × [3246850456..._<416>] × [3299395655..._<2004>] (4.76%)

10²⁵⁴¹+1 = 1000000000..._<2542> = 7² × 11³ × 13 × 23 × 127 × 463 × 727 × 1453 × 2689 × 4093 × 4357 × 8317 × 8779 × 24179 × 25169 × 421807 × 459691 × 590437 × 909091 × 1485397 × 7444361 × 599144041 × 183411838171_<12> × 530813060317_<12> × 3481311540961_<13> × 4539402627853030477_<19> × 4924630160315726207887_<22> × 102502981431359171598893_<24> × 136094982876222218559943_<24> × 5444710013725792963322916526756467746442­08265246405598834086237345292487_<72> × 8039566261499250311127571481921649700572­0848358970463128898412464716963453686123­6854805849361_<93> × 2300111929073857464892068185683115329358­0786040140280069899850949772147842028933­1088499239362108691_<99> × 1182246711440634704950850917318118767490­3268156244494414655679899332039067660980­127211497142614121477521_<104> × [1000000000..._<661>] × [4466266333..._<1303>] (22.76%)

10²⁵⁴²+1 = 1000000000..._<2543> = 101 × 10169 × 68389 × 2049349 × 47640028721_<11> × 16438685765173540249_<20> × 15060289658182968490505726713009_<32> × 4831285495545122373055545883590398223973­07149685578249_<54> × 1447745997018511893740076606031686237538­345362413531560645573104006506749609_<76> × [8421136233..._<2335>] (8.15%)

10²⁵⁴³+1 = 1000000000..._<2544> = 11 × 5087 × 101000201191745553853_<21> × [1769389062..._<2519>] (0.97%)

10²⁵⁴⁴+1 = 1000000000..._<2545> = 97 × 353 × 449 × 641 × 1409 × 1697 × 69857 × 206209 × 1373761 × 66554101249_<11> × 75118313082913_<14> × 50666791195245169449313_<23> × 12009319775706514220108801_<26> × [7049611193..._<775>] × [1000000000..._<1665>] (4.13%)

10²⁵⁴⁵+1 = 1000000000..._<2546> = 11 × 1019 × 7127 × 9091 × 53134774681_<11> × 270996195098582964284608051_<27> × 285880231210939954055570531_<27> × [1251775283..._<502>] × [2672158291..._<1969>] (2.97%)

10²⁵⁴⁶+1 = 1000000000..._<2547> = 101 × 269 × 4021 × 534661 × 260587121 × 722817036322379041_<18> × 1369778187490592461_<19> × 94927228208573594069_<20> × 37514364632515034328589549_<26> × 207656310001320777907391876549869_<33> × 2302527353565357450759725122262880394277­261_<43> × 1607103056527759457698658255252179917706­5559188277159741_<56> × [2424935210..._<2313>] (9.18%)

10²⁵⁴⁷+1 = 1000000000..._<2548> = 7 × 11 × 13 × 19 × 1699 × 52579 × 241117 × 9170899 × 715880197 × 1941850545413860134349140850659019_<34> × 7198295568559013885196835567543447_<34> × 61945573305222690279363663578823967_<35> × 4901999948893733786655871555821130375092­5973449_<47> × 1511683480129204931881648121504080561751­48228488823_<51> × 4834389726736518293852244130660191969670­7976106339486456947619775581596788967635­9171209724331727292029682663034137421755­3659008741548305187653_<142> × [1197459604..._<482>] × [1000999998..._<1693>] (14.68%)

10²⁵⁴⁸+1 = 1000000000..._<2549> = 73 × 137 × 7841 × 101921 × 346529 × 574393 × 1580801 × 1819273 × 10727809 × 286569193 × 52781463673_<11> × 127522001020150503761_<21> × 6325274402021507450906224122454439230492­01_<42> × 1469228365475573809046248838110708015796­36649582426027039761_<60> × 5010620991340707523594168804430658367520­003649793780623118456073_<64> × 1236386443286416000845205982296310762602­9967969207066306934504253853534254947079­69_<82> × 3781177083560380583441154025352663121070­1509683070486332093588590272731625338812­99502797579969_<94> × 3117814097707474151636414249725282442495­4208724815035676374093147018212750972725­1868610676044366881633877582293186191387­9972129_<127> × [1556319877..._<2000>] (21.54%)

10²⁵⁴⁹+1 = 1000000000..._<2550> = 11 × 5099 × [1782880778..._<2545>] (0.19%)

10²⁵⁵⁰+1 = 1000000000..._<2551> = 61 × 101 × 409 × 601 × 1021 × 3061 × 3541 × 5101 × 8161 × 9901 × 26861 × 27961 × 60101 × 261301 × 855781 × 2586721 × 3221501 × 3903901 × 4188901 × 5969449 × 7019801 × 28559389 × 39526741 × 134703241 × 1491383821_<10> × 168290119201_<12> × 5071197096181_<13> × 7568346838961_<13> × 14103673319201_<14> × 225974065503889_<15> × 1680588011350901_<16> × 2324557465671829_<16> × 7239775671637271201_<19> × 12450179422222023301_<20> × 25074091038628125301_<20> × 237612993541791006121_<21> × 228874386456730629545201_<24> × 378515002426869847204201_<24> × 14305987221084718242712901_<26> × 25230329421860324970373801_<26> × 1352344323222619544258924401_<28> × 9617937539686528098542338201_<28> × 44398000479007997569751764249_<29> × 50114277309486064080581238901_<29> × 1988731184935761442996825520561_<31> × 38654658795718156456729958859629701_<35> × 6778271250833427230755514692133576484914­41_<42> × 1147976358984279587940335423151806637475­42680841_<48> × 2095984910297609187763730708273246358018­472392101_<49> × 1858985507098878658459767235090584492547­06894935901_<51> × 1051361091529803074497312148085134194834­726090632313891925201_<61> × 3486475319440674008607957277969304463510­523376893744438151274361_<64> × 3901653858374518059866330406674956405263­36339013830593297226360344237401_<72> × [6535808879..._<242>] × [1948394174..._<245>] × [2118044402..._<511>] × 3151799287..._<596> (60.92%)

10²⁵⁵¹+1 = 1000000000..._<2552> = 11 × [9090909090..._<2550>] (0.04%)

10²⁵⁵²+1 = 1000000000..._<2553> = 17 × 929 × 15313 × 23201 × 182353 × 4465073 × 5882353 × 10100113 × 2259045713_<10> × 3114824318784041623490389014199610366824­348609_<46> × 4948797624251336428769758769452316283490­536687091682910619153_<61> × 9900879227786858424257223656804730798555­422102713108259184822982673560177_<73> × 3696603330750000688567094922124549915574­4897643777997943492126583399578160290634­4537626232976067313_<99> × [2890777745..._<2227>] (12.76%)

10²⁵⁵³+1 = 1000000000..._<2554> = 7 × 11 × 13 × 47 × 139 × 223 × 2531 × 4663 × 7253 × 30637 × 31051 × 714841 × 11605939 × 40538237 × 2348555453641_<13> × 143574021480139_<15> × 422650073734453_<15> × 549797184491917_<15> × 296557347313446299_<18> × 161293576452574036129333_<24> × 24649445347649059192745899_<26> × 21606064498691505246200058094681_<32> × 48911689110891303706174193415115219_<35> × [3270801938..._<739>] × [7840813225..._<1577>] (9.31%)

10²⁵⁵⁴+1 = 1000000000..._<2555> = 101 × 383101 × [2584433373..._<2547>] (0.30%)

10²⁵⁵⁵+1 = 1000000000..._<2556> = 11 × 293 × 9091 × 15331 × 909091 × 4147571 × 252285811 × 3096736651_<10> × 265212793249617641_<18> × 10826684964539959837294043117_<29> × 2865788889761949979999225923309086021030­11_<42> × [1099989000..._<289>] × [1099999890..._<433>] × [7590040926..._<1706>] (5.05%)

10²⁵⁵⁶+1 = 1000000000..._<2557> = 73 × 137 × 3169 × 5113 × 98641 × 4672937 × 6188929 × 99990001 × 11473030297_<11> × 465399516529_<12> × 1101887167897_<13> × 1068579142061329_<16> × 3199044596370769_<16> × 273919647900781361_<18> × 2284811904185513934602789046132513875275­2437281_<47> × 4464770518736461252212297564895830819002­3012536081192611094211843306393900887680­445089061753_<92> × 6674453733225557488251415205037932916521­8699128683683755465038638131167410465821­6820684054966269965371491433_<108> × [6790882346..._<538>] × [8492903348..._<1653>] (14.29%)

10²⁵⁵⁷+1 = 1000000000..._<2558> = 11 × 393779 × 470489 × 7287451 × 35619011 × 71386327 × 208135984957_<12> × 778905671211367877096702437_<27> × [1633430682..._<2485>] (2.85%)

10²⁵⁵⁸+1 = 1000000000..._<2559> = 101 × 1089709 × [9085902841..._<2550>] (0.31%)

10²⁵⁵⁹+1 = 1000000000..._<2560> = 7 × 11 × 13 × 3413 × 136481 × 20933353685773_<14> × 903651750549073496276006805994447_<33> × [1951636045..._<844>] × [5809231748..._<1658>] (2.26%)

10²⁵⁶⁰+1 = 1000000000..._<2561> = 1514497 × 302078977 × 16002416641_<11> × 3611707318387778163302401_<25> × [6051994595..._<473>] × [6249056142..._<2038>] (1.93%)

10²⁵⁶¹+1 = 1000000000..._<2562> = 11 × 859 × 15761 × 7187743 × 1058313049_<10> × 300567477887394052365757_<24> × 2981135546329774264561581279152244652468­7_<41> × 8955859986822981751383809840603974861999­2979640045275602892542651788927814470345­4003289742054897931501863508835947629446­3_<121> × [1099999999..._<2353>] (8.16%)

10²⁵⁶²+1 = 1000000000..._<2563> = 29 × 101 × 281 × 1709 × 9901 × 76129 × 190321 × 226549 × 390889 × 1587221 × 4801921 × 18830701 × 121499449 × 2834820061_<10> × 3812801341_<10> × 81183810541_<11> × 188991646284391469_<18> × 4458192223320340849_<19> × 420941410704575706289_<21> × 12825306489097494993329_<23> × 2418666002101476599410229029_<28> × 1014441626560371517458785583858927535968­49_<42> × 7574338876826097411632784892018433752805­9461788181539337429709_<62> × 1305704182448226909845888790598975114740­359397093421223355030629345156521_<73> × 1087990925195463452802538049940594096989­1307269712082534286658985580897686985529­71751226781442226809_<100> × [2438197887..._<678>] × [1249081916..._<1413>] (18.44%)

10²⁵⁶³+1 = 1000000000..._<2564> = 11² × 23 × 4093 × 8779 × 552677 × 10010290827891157_<17> × 131293689927974865167_<21> × 1104211639510104471092325504815084487468­17791459_<48> × 1134592082241812086025433183314893126820­7872250962261786909131335180907668227111­7469696149897954452324260422892067519437­0887660714303521711888923919224666398211_<160> × [1098869172..._<2305>] (10.10%)

10²⁵⁶⁴+1 = 1000000000..._<2565> = 73 × 137 × 35897 × 220811681 × 2956784477737_<13> × [4266352192..._<2535>] (1.15%)

10²⁵⁶⁵+1 = 1000000000..._<2566> = 7 × 11 × 13 × 19² × 211 × 241 × 571 × 2053 × 2161 × 6481 × 9091 × 29611 × 52579 × 1458973 × 3425131 × 3762091 × 4617001 × 70541929 × 795750211 × 4410785971_<10> × 14175966169_<11> × 60966262009_<11> × 577603663291_<12> × 595904172463_<12> × 1812604116731_<13> × 2911579215499_<13> × 8985695684401_<13> × 31023833790241_<14> × 121450506296081_<15> × 909090909090909091_<18> × 11382273828031938028891_<23> × 43135513763991692454656851_<26> × 223511343531391476730446841_<27> × 307010852070382484317401373_<27> × 28821826124280860786408658529_<29> × 383854742458924623593660909731_<30> × 753201806271328462547977919407_<30> × 676949894797134696311042616530611_<33> × 8610583349234340055547908764091017276717­091_<43> × 4996731930447843676185843959746621491531­100801_<46> × 6508684267533856834852965580950145565983­063793936631379_<55> × 3245978377655567212760904825925262846295­1980219023093305171626002054148822574802­87263152055681_<94> × 9550200998..._<273> × [1087691571..._<331>] × [1256675757..._<1288>] (36.95%)

10²⁵⁶⁶+1 = 1000000000..._<2567> = 101 × 28994563189_<11> × 72291131905901_<14> × 51021605687635486432811040389_<29> × [9258122203..._<2511>] (2.14%)

10²⁵⁶⁷+1 = 1000000000..._<2568> = 11 × 103 × 4013 × 92413 × 181288487 × 21993833369_<11> × 153653579173_<12> × 12331942624071394811_<20> × 2646756758131654397378192081701748003041­997_<43> × 9998823061783773451618898466551985927663­47086896770989636138585751423_<69> × [1190308722..._<2396>] (6.70%)

10²⁵⁶⁸+1 = 1000000000..._<2569> = 17 × 5882353 × 9999999900000001_<16> × [9999999900..._<848>] × [1000000009..._<1697>] (0.93%)

10²⁵⁶⁹+1 = 1000000000..._<2570> = 11 × 411041 × 909091 × 6337012003051224701798337646203298967_<37> × 1434573437..._<330> × [2676131797..._<2191>] (14.74%)

10²⁵⁷⁰+1 = 1000000000..._<2571> = 101 × 3541 × 27961 × 1147249 × 10321121 × 14933005561_<11> × 116930738941_<12> × 927497795881_<12> × 487078568940214342862745325582579441_<36> × [4942481101..._<485>] × [7670232409..._<969>] × [2824060999..._<1025>] (3.58%)

10²⁵⁷¹+1 = 1000000000..._<2572> = 7 × 11 × 13 × 62526304942903_<14> × [1453933524..._<843>] × [1098901098..._<1713>] (0.65%)

10²⁵⁷²+1 = 1000000000..._<2573> = 73 × 137 × 10289 × [9718145689..._<2564>] (0.31%)

10²⁵⁷³+1 = 1000000000..._<2574> = 11 × 167 × 997 × 3565183 × 2097307081_<10> × 21648843630059_<14> × 7742098247001476863_<19> × 909090909090909090909090909091_<30> × 9431769031413300684826029009602942998788­41_<42> × [5081102800..._<2447>] (4.91%)

10²⁵⁷⁴+1 = 1000000000..._<2575> = 89 × 101 × 521 × 3121 × 9901 × 1063921 × 697219381 × 1052788969_<10> × 1056689261_<10> × 5419170769_<10> × 79082656489_<11> × 152980598629_<12> × 999999000001_<12> × 17576772101461_<14> × 53397071018461_<14> × 789390798020221_<15> × 2361000305507449_<16> × 1900381976777332243781_<22> × 11761957262582764997761_<23> × 19553115731461918877701_<23> × 1538607523068637497164701_<25> × 6060517860310398033985611921721_<31> × 754309323029578981494450523147961_<33> × 4832227158939716614468345433242909_<34> × 117609798518967483441609863271124249_<36> × 4052019124515366329161607597930173756665­3577978261825599617472901135361_<71> × 8218476795659338409712353841905411607826­2306591511439985225455868667042390990755­12109_<85> × 7228985127862038010429519200208428060814­5936427715050154509673765832901166663194­5714409_<87> × 3890576401025757952383148172224064194438­3267437992820699295414780582742505383339­8395365869_<90> × [6083217201..._<463>] × [7335236892..._<1409>] (27.29%)

10²⁵⁷⁵+1 = 1000000000..._<2576> = 11 × 251 × 1237 × 5051 × 7211 × 9091 × 15451 × 497491 × 39778601 × 44092859 × 102860539 × 569836171 × 984385009 × 2013681931_<10> × 11419172251_<11> × 78875943472201_<14> × 612053256358933_<15> × 182725114866521155647161_<24> × 1466116477001089592875229051_<28> × 567664121498896654896380203841_<30> × 896048585318577702680084550566846611_<36> × 1471865453993855302660887614137521979_<37> × 2040619763175137074842000959911624010859­536873041143037361_<58> × 1657969142449522781178526791145290638579­81242517889432600011_<60> × 2102173879615901190724805905901825960646­7315693096208293749351763851954358732851­81866611_<88> × 7386463569282964704763072670863327291863­9052360904317205551081559198999387342643­8257667855075703812004308119681_<111> × [9718408423..._<1991>] (22.68%)

10²⁵⁷⁶+1 = 1000000000..._<2577> = 353 × 449 × 641 × 673 × 1409 × 5153 × 69857 × 153089 × 43735845217_<11> × 74104013537_<11> × 20136573598661589889_<20> × 217860610452031121598489279950204653537_<39> × 1078965221395139207527306436384019097245­13_<42> × 1559440092962140541006269160037944071573­04353_<45> × 6054085745..._<306> × [1300506578..._<2079>] (19.33%)

10²⁵⁷⁷+1 = 1000000000..._<2578> = 7 × 11 × 13 × 25771 × 97927 × 1174705983343_<13> × 1486519116402317_<16> × 946500924501047876767_<21> × 17042007778696847013238321_<26> × 54846662781255516541743463_<26> × [1185374568..._<802>] × [2161647662..._<1665>] (4.33%)

10²⁵⁷⁸+1 = 1000000000..._<2579> = 101 × 12538704200582281_<17> × 251437728000141140089_<21> × 126479238566697677945721917157049_<33> × 14882737406463186583912705826059541_<35> × [1668374195..._<2474>] (4.06%)

10²⁵⁷⁹+1 = 1000000000..._<2580> = 11 × 603487 × 852629825623_<12> × 12526504286553414480387071457504877_<35> × [1410421708..._<2527>] (2.05%)

10²⁵⁸⁰+1 = 1000000000..._<2581> = 73 × 137 × 1033 × 350881 × 1549033 × 1676321 × 99990001 × 5964848081_<10> × 5182673393399113_<16> × 3210950359592401564321_<22> × 100009999999899989999000000010001_<33> × 277641151780258438310079109077611969_<36> × 2645778409917434965592366282025495569_<37> × 3899313584979115706106073835294410507621­7_<41> × 2495954708243557026161099704758223677054­8713_<44> × 3490849329077385901705778402579215381715­0916131843303273_<56> × 4831610257..._<268> × [2850254074..._<667>] × [3114031355..._<1323>] (22.91%)

10²⁵⁸¹+1 = 1000000000..._<2582> = 11 × 59 × 179 × 1909341209_<10> × 12147237304901893_<17> × 154083204930662557781201849_<27> × 4180967272673252032291190917188955510245­874180001164839931077197586653_<70> × [5761149420..._<2455>] (4.89%)

10²⁵⁸²+1 = 1000000000..._<2583> = 101 × 11217706990928909_<17> × 176192159694208111107041_<24> × [5009425881..._<2541>] (1.60%)

10²⁵⁸³+1 = 1000000000..._<2584> = 7² × 11 × 13 × 19 × 127 × 739 × 2689 × 5167 × 10333 × 52579 × 148339 × 459691 × 909091 × 5274739 × 16419517 × 22873327 × 1309140169_<10> × 19214818177409_<14> × 26726821988429179_<17> × 2670502781396266997_<19> × 3404193829806058997303_<22> × 2227500794590370844147583_<25> × 164284600769469692618640409_<27> × 189772422673235585874485732659_<30> × 248130677209447791247479586597_<30> × 6331512614238234077508187988343438690524­7847_<44> × 6105179603552296927117127487655417850454­4683763248923853725596423_<65> × 5724747847..._<227> × 1000999998..._<241> × [2154768431..._<396>] × [1717419514..._<1361>] (32.03%)

10²⁵⁸⁴+1 = 1000000000..._<2585> = 17² × 134369 × 5882353 × 13355595217_<11> × 31735795756961_<14> × 4404410875574787768521718346256386184129­4905937408483757953142563366126920380374­1415744566525108430933975383194546209_<117> × 2345046820394523854722286018373912171012­6330850830571913874990515654086653442723­8711769806579683320997636600725852987602­204289_<126> × [1000000009..._<2305>] (10.84%)

10²⁵⁸⁵+1 = 1000000000..._<2586> = 11² × 23 × 331 × 4093 × 5171 × 5641 × 6299 × 8779 × 9091 × 20681 × 61007 × 21997411 × 20163494891_<11> × 4855067598095567_<16> × 318727841165674579776721_<24> × 297262705009139006771611927_<27> × 1677113809386268722922187052796817841111­5969_<44> × 4286364887150220673583225059177107721806­0654759722155521252580860689593571157627­9570184017568300401917094195916970808292­9486830943679876008361716880663960188314­299305481_<169> × 1075104008..._<413> × [9091000000..._<1840>] (28.82%)

10²⁵⁸⁶+1 = 1000000000..._<2587> = 101 × 9901 × 50709700557334097021_<20> × [1952484433..._<841>] × [1009998990..._<1721>] (0.99%)

10²⁵⁸⁷+1 = 1000000000..._<2588> = 11 × 859 × 373428277 × 1058313049_<10> × 45099274481_<11> × 3545105703277_<13> × 10765760180213_<14> × 12277415800813_<14> × 381438481863271910939863_<24> × 2129719563805311151899739957_<28> × 180724074168604579796294647309331_<33> × 3142931404276264910560088757241510584870­07_<42> × 3415667199916755828031645754802139743988­8515117317065783422183070342102287109965­498971_<86> × [8040239829..._<2306>] (10.87%)

10²⁵⁸⁸+1 = 1000000000..._<2589> = 73 × 137 × 18663988297_<11> × 192553806627911329_<18> × 30019061191143411182689_<23> × [9268360218..._<2534>] (2.09%)

10²⁵⁸⁹+1 = 1000000000..._<2590> = 7 × 11 × 13 × 5179 × 10357 × 450487 × 31350288530150796080533_<23> × 1584705713225403483147160166143_<31> × [1273433962..._<827>] × [6534873397..._<1694>] (2.67%)

10²⁵⁹⁰+1 = 1000000000..._<2591> = 29 × 101 × 149 × 281 × 421 × 1481 × 3109 × 3541 × 15541 × 27961 × 68821 × 111149 × 3471301 × 13489841 × 121499449 × 6336499381_<10> × 60368344121_<11> × 74615611921_<11> × 708840373781_<12> × 3353885607521_<13> × 4098464044501_<13> × 107771345624719321_<18> × 9392332326728043169_<19> × 669031686661427842829_<21> × 848654483879497562821_<21> × 16206170837408945509907221_<26> × 40548140514062774758071840361_<29> × 4854742668404878074271409128116889281113­614904383409_<52> × 2718806758501803678726530231649429098807­99363524216099671322919521_<66> × 1106856391195125605067659687372491496603­851278760356356904482039681_<67> × 6260554616927865210886975275994609056323­42461236940562171461942282321_<69> × [2215040689..._<362>] × [8345238407..._<852>] × [3537460769..._<864>] (19.81%)

10²⁵⁹¹+1 = 1000000000..._<2592> = 11 × 265603411 × [3422738080..._<2582>] (0.37%)

10²⁵⁹²+1 = 1000000000..._<2593> = 193 × 577 × 769 × 19841 × 976193 × 6187457 × 1901854081_<10> × 317752351489_<12> × 834427406578561_<15> × 25053316181280577_<17> × 1253224535459902849_<19> × 6123088911854233729_<19> × 47833256988072633601_<20> × 81463739192752760233084801_<26> × 5376349118996722135857554610727903470969­7_<41> × 5454254688947363287683007582959957955687­7428501805560638197790719877643207587229­1901238475752871142202298332796782100563­3305513155176634315060424546674322713747­588377841693274817_<178> × [1633162631..._<558>] × [5385962115..._<1657>] (14.59%)

10²⁵⁹³+1 = 1000000000..._<2594> = 11 × 25931 × [3505807369..._<2588>] (0.21%)

10²⁵⁹⁴+1 = 1000000000..._<2595> = 101 × 5189 × 160829 × 1016849 × 2782220641_<10> × 5162953115292312649_<19> × 5948280274033119425083406521_<28> × [1365503931..._<2522>] (2.81%)

10²⁵⁹⁵+1 = 1000000000..._<2596> = 7 × 11 × 13 × 211 × 241 × 2161 × 9091 × 9689 × 41521 × 16864733 × 16002307438891_<14> × 447112926793237_<15> × 927317454109739561766501011_<27> × 1819136781225737432538586049161_<31> × 5563510205554383683546545704914850146980­3488052399095459738250346232835862545261­8143028489824347845773903751383591396913­8814438028961942675024261456156912807554­3_<161> × [2457770806..._<330>] × [7412714918..._<648>] × [1204793388..._<1342>] (10.66%)

10²⁵⁹⁶+1 = 1000000000..._<2597> = 73 × 137 × 617 × 395026241 × 6218964172073_<13> × 3410758635375200561_<19> × 38260448997229780409753897_<26> × 16205834846012967584927082656402106953_<38> × 3239493798040303234394148031888008631830­7142570248235727782772042697_<68> × 3683701505731300609663453679558774823033­6921494253255771361450341226561526611901­3587242450010428631327583370287498472127­46321_<125> × [2613926459..._<2295>] (11.62%)

10²⁵⁹⁷+1 = 1000000000..._<2598> = 11 × 197 × 743 × 176597 × 909091 × 1057997274797_<13> × 25714930985983_<14> × 2584863032795023_<16> × 67597764492620783_<17> × 1997758297646989808197_<22> × 5076141624365532994918781726395939035533_<40> × 1570989606264398516186489295496926940315­60694047_<48> × 9090909090909090909090909090909090909090­909090909091_<52> × 2548171182130492354464113595833821781588­0641409868743480754592634023289710402152­43200625902015381883224397137647_<112> × 1352321123248730090708692723609127157649­5159337962861701177848071164846624221419­6619006751660947595648621283774989975906­1263_<124> × [1630632454..._<2128>] (18.09%)

10²⁵⁹⁸+1 = 1000000000..._<2599> = 101 × 9901 × 58889 × 4070201 × 1927014541_<10> × 8246900052197820521_<19> × [2599278814..._<825>] × [1009998990..._<1729>] (1.75%)

10²⁵⁹⁹+1 = 1000000000..._<2600> = 11 × 47 × 139 × 2531 × 4973 × 57179 × 150743 × 1944053 × 4426889 × 549797184491917_<15> × 579467253301597541242367_<24> × 4129431088139783859996416179822426674855­1911970994071194269355370951724011428162­9255685010553886849303_<102> × [1132874956..._<2425>] (6.73%)

10²⁶⁰⁰+1 = 1000000000..._<2601> = 17 × 1249 × 2081 × 49297 × 300977 × 648961 × 5070721 × 5882353 × 5990401 × 6160961 × 14852911841_<11> × 24592788001_<11> × 249227787818677482257_<21> × 19721061166646717498359681_<26> × 3475700719926956233659563848134955052440­801_<43> × 3336327664384090112747059870264076396700­42305536743429073_<57> × 1169903014767471390631838991078299955030­5441464043756973969673953263708106862724­1615756780789663364521811201_<108> × [5251312472..._<364>] × 1669337328..._<1914> (86.01%)