10^3401+1 = 1000000000...<3402> = 11 * 163249 * 909090909090909091<18> * 32955332158747323167<20> * 523661705392754764972834211810001059<36> * 17360270948380236765442123580448180934246742941840774929827069381097446101825710313953633305039247538221205037054245870292654737645806593390849<143> * [2044638161...<3180>] (6.52%)
10^3402+1 = 1000000000...<3403> = 29 * 101 * 109 * 281 * 1009 * 2269 * 4861 * 9901 * 138349 * 153469 * 226549 * 2925721 * 121499449 * 605070649 * 43266855241<11> * 999999000001<12> * 40798705910329<14> * 1119862419800041<16> * 4458192223320340849<19> * 17438498092526867749<20> * 31893385500901391256721<23> * 729719975272091111399590489<27> * 59779577156334533866654838281<29> * 9391041808951630899634282002781<31> * 168199595687205968107363838899561<33> * 165358820733883770736233015527320175869593121<45> * 22906246896437231227899575633620139766044690040039603689929<59> * 344410449392555791991391842565560527204857067026484035552706583597118812185729<78> * 17558859918233971274267353045256604123625708155378236163954582400346807794005623131429977614689<95> * 341796090604674881849636380229010216626944264336893367139245334739710314141368913850637159182300704681<102> * 4108154882...<248> * [5606213323...<600>] * [1605556631...<1888>] (26.90%)
10^3403+1 = 1000000000...<3404> = 11 * 167 * 997 * 13613 * 3565183 * 2097307081<10> * 4255390247<10> * 343276429750699<15> * 2670502781396266997<19> * 7742098247001476863<19> * 3404193829806058997303<22> * 943176903141330068482602900960294299878841<42> * [5531659789...<3252>] (4.44%)
10^3404+1 = 1000000000...<3405> = 73 * 137 * 2393 * 61544617 * 16444765848115921<17> * 4178437150016715837818641871709193476807772628503969494400330129962348520684914375257<85> * 987958734776503660730847298429926744644928427487850380038560428638070909650210480224210297181360032908354907525523774393<120> * [1000099999...<3169>] (6.93%)
10^3405+1 = 1000000000...<3406> = 7 * 11 * 13 * 211 * 241 * 2161 * 9091 * 115771 * 1825081 * 2669521 * 6081331 * 36346333 * 52135091 * 590179571 * 113058412361<12> * 2152139463931<13> * 3861904074787001<16> * 62582482880509718700841<23> * 6476572499...<203> * [1098901098...<453>] * [1037057595...<842>] * [6005883409...<1784>] (9.64%)
10^3406+1 = 1000000000...<3407> = 101 * 521 * 1049 * 14149 * 33887081 * 45401981 * 322185369274849<15> * 1900381976777332243781<22> * 1345744499...<224> * [1009999999...<3121>] (8.40%)
10^3407+1 = 1000000000...<3408> = 11 * 47699 * 291427967 * 169517769502927888474512365281<30> * [3857905493...<3364>] (1.27%)
10^3408+1 = 1000000000...<3409> = 97 * 353 * 449 * 641 * 1409 * 2273 * 69857 * 206209 * 742316929 * 66554101249<11> * 95132959073<11> * 146398348897<12> * 75118313082913<14> * [6229887350...<1097>] * [6830678129...<2229>] (2.42%)
10^3409+1 = 1000000000...<3410> = 11 * 909091 * 1842809 * 3113951051<10> * 1171842843942793551649<22> * 46031771059124302914419<23> * 105311292346148375021459<24> * [1071690314...<458>] * [2862441011...<2863>] (2.63%)
10^3410+1 = 1000000000...<3411> = 89 * 101 * 661 * 3541 * 18041 * 27281 * 27961 * 47741 * 148721 * 2049349 * 26291101 * 96271121 * 183276589 * 1052788969<10> * 1056689261<10> * 1121407321<10> * 854097155341<12> * 57283461787861<14> * 5694051098461516747661<22> * 1395900370916327245555441901<28> * 82154200322378494269088725509<29> * 36380545029953205956377406702261<32> * 925323140307633681633371781508201<33> * 483128549554512237305554588359039822397307149685578249<54> * 357640999964236257644576374235721183076427881763885411823611483852508851614756267658524373235935767676406423590000357641<120> * 2824060999717591075967240892404687941259531205309234679469076729737362327026207286077379271406382377859361759390002824061<121> * [2056524992...<528>] * [4932729323...<1144>] * [7704315216...<1187>] (16.19%)
10^3411+1 = 1000000000...<3412> = 7 * 11 * 13 * 19 * 6823 * 10613 * 52579 * 30817249 * 6735899539<10> * 1370866601089<13> * 41226509921428927<17> * 204325427392775929<18> * 1393761321069755973619<22> * 4918445244727502358176820280164673127<37> * 33584520860278767011970207517032237108309731086439023<53> * [1682706163...<278>] * [7884428146...<735>] * [1886118270...<2209>] (5.59%)
10^3412+1 = 1000000000...<3413> = 73 * 137 * 818186717146550377<18> * 2054446842971035766997257<25> * [5948524289...<3366>] (1.35%)
10^3413+1 = 1000000000...<3414> = 11 * [9090909090...<3412>] (0.03%)
10^3414+1 = 1000000000...<3415> = 101 * 6829 * 9901 * 2066432749<10> * [9900990099...<1136>] * [7157190071...<2259>] (0.56%)
10^3415+1 = 1000000000...<3416> = 11 * 1367 * 9091 * 245881 * 17539022047657361<17> * 37575634343860927081<20> * 178360625706599929091<21> * 188379244625933266629990168251<30> * [6650262685...<679>] * [2020317557...<2638>] (2.90%)
10^3416+1 = 1000000000...<3417> = 17 * 113 * 977 * 6833 * 5882353 * 5943841 * 967901760520372289<18> * 73765755896403138401<20> * 7849115417706986501273297<25> * 119968369144846370226083377<27> * 12126864657751886263647243158401<32> * 1333621378380781329750868926173511152429445865079521<52> * 8330524721...<352> * [2462189076...<2870>] (16.00%)
10^3417+1 = 1000000000...<3418> = 7 * 11 * 13 * 103 * 4013 * 7237 * 82009 * 232357 * 17830074841<11> * 21993833369<11> * 291078844423<12> * 274116723646663<15> * 851109498533797<15> * 377526955309799110357<21> * 45360300267343173645804799921<29> * 909090909090909090909090909090909090909090909090909090909090909091<66> * 220589842618680198991086731354678488275926380957742565496334997548411735059<75> * [1341316197...<1052>] * [1428729787...<2093>] (8.01%)
10^3418+1 = 1000000000...<3419> = 101 * 3951209 * 223147549 * 20415654231968489599172591591429<32> * [5500386419...<3370>] (1.41%)
10^3419+1 = 1000000000...<3420> = 11 * 859 * 410280001 * 1058313049<10> * 104165866117<12> * 935875736987641<15> * 32599997500413773<17> * 33626248303504467820105928929<29> * 11752801686094820502490861046771611<35> * 9713799312...<247> * [1997788540...<3046>] (10.93%)
10^3420+1 = 1000000000...<3421> = 73 * 137 * 457 * 3169 * 4561 * 27361 * 27817 * 77977 * 98641 * 205201 * 1403417 * 1676321 * 99990001 * 265183201 * 376102873 * 5964848081<10> * 36120612721<11> * 3199044596370769<16> * 5240808656722481737<19> * 2717962829681813765353<22> * 24899977366537056115201<23> * 543743669900453389252544881<27> * 17413881492892638194125874641<29> * 13591271120229398317886003161009<32> * 100009999999899989999000000010001<33> * 12231385993824607429587973444912801<35> * 95853807664312827399794371014650641<35> * 297478330786365628414805305290302483555043017<45> * 39340929985040037939860550511566010202173435808159761<53> * 194720331913760546074906161375930267923071695863299678749187377754543757962841785054377649<90> * 8176505920...<254> * [4718347949...<406>] * [8804355055...<550>] * [1881043168...<1664>] (23.42%)
10^3421+1 = 1000000000...<3422> = 11^2 * 23 * 4093 * 8779 * 82727 * 2011741416499<13> * 2122689869717<13> * 7966595011106561<16> * 19203277218193440703<20> * 3416317897947415066069561<25> * 835375365056917236891484436143<30> * 972257004001983078662961403513565995843134142539444914120798476327<66> * 6233584499738299340076596109269276052417987101388073691610569618213<67> * 375700593067719892293634457990858198043520716058451444985194026578547509426501929457106333<90> * [2847378337...<3069>] (10.31%)
10^3422+1 = 1000000000...<3423> = 101 * 349 * 38861 * 618049 * 430148941 * 465097709 * 653196364958731709<18> * 11811806375201836408679635736258669583187541<44> * 230175856669373992253976277974612031182496625023886807386072581333871027940087154579555293851089822885094561<108> * [3324554174...<3222>] (5.86%)
10^3423+1 = 1000000000...<3424> = 7^2 * 11 * 13 * 127 * 653 * 2689 * 11411 * 13693 * 59659 * 233743 * 459691 * 909091 * 101971171 * 199552099 * 67960926601<11> * 14286890032106357<17> * 2832911283482389117<19> * 5674611488598845899<19> * 39793958616147394012943<23> * 65607397074578078075413<23> * 66953479943839030979655991920753816099754871899<47> * 106288106156544189601112452124463274118441603168767263777500290285464677481570934480831778653<93> * [3949005368...<306>] * [2422433102...<946>] * [1245038618...<1866>] (8.97%)
10^3424+1 = 1000000000...<3425> = 19841 * 976193 * 6187457 * 834427406578561<15> * [9999999999...<3392>] (0.93%)
10^3425+1 = 1000000000...<3426> = 11 * 251 * 5051 * 9091 * 28771 * 364393423 * 1039508051<10> * 13546296961<11> * 117651465889<12> * 222884971201<12> * 78875943472201<14> * 441651480271681<15> * 676321006412903<15> * 472277212928930033041611851<27> * 218801242136856556680173235529<30> * 3244569580634956101009646791013296826459859399717968478099<58> * [1266286589...<519>] * [2036945897...<2685>] (6.50%)
10^3426+1 = 1000000000...<3427> = 101 * 9901 * 34261 * 95929 * 8032558489<10> * 41899423610749<14> * 10365429021851924749<20> * 925878184670269334484641<24> * 72902178953713285322996186513081<32> * [4543310341...<1056>] * [2844026393...<2257>] (3.32%)
10^3427+1 = 1000000000...<3428> = 11 * 47 * 139 * 2087 * 2531 * 794769223169<12> * 549797184491917<15> * 9615683031450065714899<22> * 151412933024377099958108209<27> * 165459609176797865866134365329792270635207840943<48> * 2737869430252705432917439814481839640694075521336313521691938014929169431049<76> * [9140893980...<3218>] (6.10%)
10^3428+1 = 1000000000...<3429> = 73 * 137 * 6857 * 5610491276756975405466473<25> * [2599091277...<3396>] (0.95%)
10^3429+1 = 1000000000...<3430> = 7 * 11 * 13 * 19 * 2287 * 3557 * 52579 * 70541929 * 857772733 * 1094479651<10> * 1125629957<10> * 14175966169<11> * 451897625287<12> * 22242405278881<14> * 24458633354539121167<20> * 616896149073719728613<21> * 10860110813777339731289<23> * 1053449334720579590200819<25> * 233289732122131763102049253<27> * 36099531273603138218699301565567581705151216702113889<53> * 4444349792156709907895752551798631908946180608768737946280238078881<67> * 227106988265159616528571981140572415396122551755756282296008613353922816015404819504625289055134338407924996143023758066472872886277706507970899321<147> * [4500412551...<743>] * [1752557150...<2223>] (13.53%)
10^3430+1 = 1000000000...<3431> = 29 * 101 * 281 * 421 * 3541 * 13721 * 27961 * 3471301 * 13489841 * 28523881 * 121499449 * 268330861 * 60368344121<11> * 366395073564101<15> * 59698658458259101<17> * 354434210886621881<18> * 848654483879497562821<21> * 32422034720694602873554553373241<32> * 74398155353151480548471742495521<32> * 28706164502711390875680641913825481<35> * 999999999999990000000000000099999999999999000000000000009999999999999900000000000001<84> * 268518285251996916122291111993206592643219262117557903651817212241734106267484004209003780641949203741<102> * 114829854565761905398975084119988233562137641986342864278805348541353628021441076133668350909404160578580106494602411458108349501<129> * [9999999999...<588>] * [2251506787...<1128>] * [2555086572...<1165>] (16.04%)
10^3431+1 = 1000000000...<3432> = 11 * 293 * 6299 * 6863 * 27449 * 102931 * 3693698261653<13> * 4855067598095567<16> * 297262705009139006771611927<27> * 10826684964539959837294043117<29> * 286578888976194997999922592330908602103011<42> * [1535834969...<3287>] (4.22%)
10^3432+1 = 1000000000...<3433> = 17 * 1249 * 49297 * 300977 * 648961 * 960961 * 5882353 * 10100113 * 148068337 * 9100359841<10> * 10662171313<11> * 325807801400017<15> * 1882265863878401<16> * 9999999900000001<16> * 249227787818677482257<21> * 75675153541982860202858401<26> * 11786300284844910479546815969<29> * 333632766438409011274705987026407639670042305536743429073<57> * 14051485220127306539558738857309372503949399323665750407976449<62> * 9900879227786858424257223656804730798555422102713108259184822982673560177<73> * 138359326498705141346583789519515896493739312069900779478063763162990060463305717055848920585883537<99> * 11211641228630565679165073415717349211301068854209340842417386559363002502053200017505737086336239008966529<107> * [5312745819...<945>] * [1143498680...<1905>] (16.99%)
10^3433+1 = 1000000000...<3434> = 11 * [9090909090...<3432>] (0.03%)
10^3434+1 = 1000000000...<3435> = 101^2 * 6869 * 453289 * 721141 * 28559389 * 1298676989<10> * 1491383821<10> * 3679329001<10> * 19384130081<11> * 2324557465671829<16> * 12793360409007449<17> * 4908990488743183603681<22> * 18999600804120422640629<23> * 5383539446793990416488818114381662511041<40> * 147987024898557331825270928295100820916509<42> * 274709671055935535763734628625616947603714681537231287179261<60> * [1823000836...<3154>] (8.18%)
10^3435+1 = 1000000000...<3436> = 7 * 11 * 13 * 211 * 241 * 2161 * 9091 * 2796091 * 7447081 * 62901721 * 147430724100851<15> * 2317091604522004723965449<25> * 38625769889283860775279091<26> * 14333485763997084637130491135368291169<38> * 22122368173743271094350225612207534262957<41> * 13270807703600518273110858480695033043595534787235597140531<59> * 1336395914067475494619360928220680511145198857935330550248985354190742963795052553003443246310484435548877<106> * [1029486629...<413>] * [7461056756...<898>] * [1339537132...<1785>] (9.93%)
10^3436+1 = 1000000000...<3437> = 73 * 137 * 81096473 * 583845121 * 173514039586444751362099802953<30> * [1217088979...<3387>] (1.45%)
10^3437+1 = 1000000000...<3438> = 11 * 983 * 491983 * 909091 * 5306729 * 100580369 * 129785559623<12> * 301240316407<12> * 66098047998761<14> * 44467075182005846868530065551693426652606026434296940573<56> * [1635825721...<390>] * [2060879063...<2926>] (3.56%)
10^3438+1 = 1000000000...<3439> = 101 * 9901 * 77929 * 103141 * 106961 * 206281 * 57277081 * 999999000001<12> * 1781089125861109<16> * 717942325692136609<18> * 73472746903541420644308378889<29> * 25762160699044581625996505932981<32> * 13968004259021399202183274452648726337203224861<47> * [8503930644...<324>] * [2749008351...<740>] * [1245632984...<2190>] (5.40%)
10^3439+1 = 1000000000...<3440> = 11 * 13757 * 1900054379<10> * 47343133646129<14> * 909090909090909091<18> * 1467439874822650361<19> * 57813769227978665304109403799291636496876923883191635824278127299864929561<74> * 778918424933155393480511088578762495409547716376329687166271120021739022042090054703<84> * [1222840049...<3218>] (6.45%)
10^3440+1 = 1000000000...<3441> = 353 * 449 * 641 * 1409 * 69857 * 1634881 * 18453761 * 248776673 * 947147262401<12> * 1815275379329<13> * 16330640885569<14> * 4192535854321921<16> * 349954396040122577928041596214187605761<39> * [1355952881...<639>] * [2385191289...<2673>] (3.76%)
10^3441+1 = 1000000000...<3442> = 7 * 11 * 13 * 223 * 373 * 4663 * 7253 * 44641 * 3590254957<10> * 44386050853<11> * 1320477480499<13> * 422650073734453<15> * 296557347313446299<18> * 14995929010926962313847<23> * 909090909090909090909090909091<30> * 21606064498691505246200058094681<32> * 48911689110891303706174193415115219<35> * 18381907262281244633158190677786966663091011<44> * [2478256071...<1070>] * [4595544938...<2126>] (7.15%)
10^3442+1 = 1000000000...<3443> = 101 * 23026981 * 70664261 * 10966451538208346707801<23> * [5548501123...<3403>] (1.14%)
10^3443+1 = 1000000000...<3444> = 11^2 * 23 * 4093 * 5009 * 8779 * 5254019 * 414635814407<12> * 449661136651<12> * 1074844665139845442819616837<28> * 9319081484273070606130677117435797717<37> * 3942061217624131929520541160207424212724650028976527<52> * 589855742530873303648997100606906463934277315614405401704255573694516882878454393085805024793769310885400567<108> * 72617518122470447454518812762092739764061943025353225549543353013253141910591452067570296901386356517079584442320341255503<122> * [1204968714...<3054>] (11.32%)
10^3444+1 = 1000000000...<3445> = 73 * 137 * 2297 * 2953 * 7841 * 68881 * 826561 * 1144393 * 99990001 * 121553521 * 11189053009<11> * 1158471408529<13> * 51635353141921<14> * 115655432914609337<18> * 603812429055411913<18> * 127522001020150503761<21> * 148029423400750506553<21> * 36637591407529194237097<23> * 39901494083192290798369<23> * 19525935860882579293542098233<29> * 1523756597661425772732982608015377525913129160101547143097<58> * 2245236606248397162554620353530247131809555439174332456262048578539955402631665831489925370072038825037489223972536291929859656473<130> * 3761335188...<240> * [2799014134...<907>] * [2617020865...<1880>] (19.11%)
10^3445+1 = 1000000000...<3446> = 11 * 131 * 859 * 9091 * 538481 * 80096251 * 83176081 * 1058313049<10> * 2040723131<10> * 3961565781890816563346704051<28> * 8396862596258693901610602298557167100076327481<46> * 9090909090909090909090909090909090909090909090909091<52> * 2526777489848353556260463473948408884731636893126614892491647668607221061047888823703614571160074916162049747740059809135560066761697620048479221189904530026582759451<166> * [1099999999...<625>] * [1364586325...<2481>] (9.89%)
10^3446+1 = 1000000000...<3447> = 101 * [9900990099...<3444>] (0.06%)
10^3447+1 = 1000000000...<3448> = 7 * 11 * 13 * 19 * 4597 * 11491 * 52579 * 262739 * 1838401 * 4685623 * 3185570329<10> * 1782520048534812718342476943<28> * [6426249820...<366>] * [4081846405...<745>] * [5615645107...<2265>] (2.08%)
10^3448+1 = 1000000000...<3449> = 17 * 5882353 * 215497151953<12> * [4640432511...<3429>] (0.56%)
10^3449+1 = 1000000000...<3450> = 11 * 6899 * 1427887 * [9228419543...<3438>] (0.32%)
10^3450+1 = 1000000000...<3451> = 61 * 101 * 461 * 601 * 829 * 1289 * 1381 * 3541 * 9661 * 9901 * 27961 * 60101 * 131101 * 261301 * 509681 * 1569889 * 3903901 * 4188901 * 7019801 * 39526741 * 61092601 * 62056301 * 93744372901<11> * 168290119201<12> * 617347181401<12> * 1970429073901<13> * 4107757827661<13> * 14103673319201<14> * 18371524594609<14> * 1680588011350901<16> * 6193371433274461<16> * 536430531035337769<18> * 1432932516494710801<19> * 8225357978845859081<19> * 16637631264355748201<20> * 25074091038628125301<20> * 439120676164610394481<21> * 757108543129939106221<21> * 13711691889120319921601<23> * 63691382029918881694921<23> * 59483540558994759763795801<26> * 316699822269639096888937801<27> * 4181003300071669867932658901<28> * 354969305477178480614478251861<30> * 18769033515469256054311509073901<32> * 38654658795718156456729958859629701<35> * 114061789660900413328637822705950861<36> * 53836677179343252802536411876638569921<38> * 73137716939443396538710479664316724061<38> * 19108466176791400681292709171992566565029<41> * 800347835624048997614541100944192471049901<42> * 1088692523027573678098234350084974616005410140417841<52> * 870647723077443424730240122490394960350773424147330153671641266669332491181<75> * 204242351548925251893633264773947067986088317488293580275772558732707021165093113635856162801<93> * [3354436479...<327>] * [7462074404...<408>] * [1359139466...<849>] * [9900498997...<880>] (28.62%)
10^3451+1 = 1000000000...<3452> = 11 * 59 * 103 * 1973 * 4013 * 19489 * 776969 * 909091 * 243720583 * 1868879293<10> * 21993833369<11> * 40256406669887<14> * 2184943628221853<16> * 2563963356465898129<19> * 865788741404845009303<21> * 963447803278063011049<21> * 5673320472670315859129<22> * 154083204930662557781201849<27> * 13569612563320403017443683179<29> * 2844366024589741098287806157501475277<37> * 103746647830421551242486430622636901002236971549990724717454338463<66> * 6656280510176649041177006666533233898159823895551612176879783493172755702305410407269034716016715927564139783<109> * 3312754470...<353> * [9435809567...<2667>] (22.72%)
10^3452+1 = 1000000000...<3453> = 73 * 137 * 70696961 * 1973147228718944629429456254350106107174641<43> * [7167972580...<3398>] (1.57%)
10^3453+1 = 1000000000...<3454> = 7 * 11 * 13 * 9209 * 1866608929<10> * 8301750943<10> * 1857763487903210808064579<25> * [1189118516...<1137>] * [3168946050...<2267>] (1.46%)
10^3454+1 = 1000000000...<3455> = 89 * 101 * 1052788969<10> * 1056689261<10> * 28415783195151364586816438858689<32> * 266488455430283106331412078955889415011373032402631355734921<60> * 1307496683...<222> * [1009999999...<3121>] (9.67%)
10^3455+1 = 1000000000...<3456> = 11 * 9091 * 2714249 * 7518222234631531<16> * 21393892529359947893<20> * 11007981173468439545767<23> * 254760341917214780576491<24> * 56522264083795692397618211<26> * 9295316865073065542488428873601<31> * 26578194229497643738821679856668807<35> * [5350996532...<608>] * [1093094253...<2665>] (5.30%)
10^3456+1 = 1000000000...<3457> = 257 * 15361 * 434689 * 453377 * 859393 * 25597441 * 260241409 * 642422244097<12> * 33649448872371457<17> * 145778507161340929<18> * 142018149548859447798990430842371897431582393270575475042667940048026473157944321<81> * 55871187633753621225794775009016131346430842253464047463157158784732544216230781165223702155223678309562822667655169<116> * 38425031666569023499290434804662265509189764624919574336880482034091688791929134441331363930601958862159411412508866084507001318401<131> * [1501160221...<753>] * [1556608615...<2293>] (11.91%)
10^3457+1 = 1000000000...<3458> = 11 * 2545135764820884815023<22> * [3571875896...<3435>] (0.65%)
10^3458+1 = 1000000000...<3459> = 29 * 101 * 281 * 521 * 2129 * 20749 * 2074801 * 16204189 * 65321621 * 121499449 * 14691812549<11> * 654721485601<12> * 722817036322379041<18> * 1369778187490592461<19> * 1728095716605342484009<22> * 1900381976777332243781<22> * 294342151630080361329671206012541<33> * 3845225778323318739662926792353902964405172909187389<52> * 3571618567996393297210217238290456648947344377957590363519828421<64> * 431916413820617754546053476804635449461410533962843828981966782964481<69> * 4859378131018035310593858490137688922829468686775068797577396520148545290055799616742354372616293735785798821073310265896384033181<130> * [3431380773...<400>] * 2172805006...<2567> (88.45%)
10^3459+1 = 1000000000...<3460> = 7 * 11 * 13 * 90064674103<11> * 2782159473611653<16> * 3001997409483091<16> * 643576595030341561<18> * [3028286787...<1137>] * [6814309640...<2260>] (1.81%)
10^3460+1 = 1000000000...<3461> = 73 * 137 * 13841 * 1676321 * 1035840961<10> * 5964848081<10> * 37491245201<11> * 181403385041<12> * 80776359618184961<17> * 16027237242460629967868641<26> * [3301736653...<661>] * [2399268352...<2703>] (2.81%)
10^3461+1 = 1000000000...<3462> = 11 * 8846317 * 34471561 * 37136531 * 37631376859<11> * 31137025119973<14> * [6851021146...<3414>] (1.36%)
10^3462+1 = 1000000000...<3463> = 101 * 2309 * 9901 * 276961 * 1871789 * 34428262901<11> * 44943028103329<14> * 768793792950361<15> * 272177565333718069<18> * 306332673158836861<18> * [7980627608...<1097>] * [1055431671...<2271>] (2.75%)
10^3463+1 = 1000000000...<3464> = 11 * 9890329 * 4207094420428533691<19> * 471166863987333230747073973<27> * [4637026493...<3410>] (1.54%)
10^3464+1 = 1000000000...<3465> = 17 * 5882353 * 214602746417<12> * [4659772564...<3445>] (0.56%)
10^3465+1 = 1000000000...<3466> = 7^2 * 11^2 * 13 * 19 * 23 * 127 * 211 * 241 * 331 * 463 * 2161 * 2521 * 2689 * 3851 * 4093 * 5171 * 8317 * 8779 * 9091 * 14851 * 24179 * 29611 * 52579 * 101641 * 131041 * 459691 * 590437 * 648649 * 909091 * 1053361 * 3762091 * 4147571 * 5274739 * 7444361 * 25973641 * 170873011 * 599144041 * 4124507971<10> * 4774111651<10> * 7093127053<10> * 20163494891<11> * 29970369241<11> * 183411838171<12> * 525326613841<12> * 8985695684401<13> * 167940794674423<15> * 1661378260814161<16> * 265212793249617641<18> * 4539402627853030477<19> * 4924630160315726207887<22> * 18276168846821336356291<23> * 136094982876222218559943<24> * 318727841165674579776721<24> * 17188981502127912986105521<26> * 19835636682880495867311241<26> * 189772422673235585874485732659<30> * 1275784731048123659634702312820051<34> * 1992239470584165788605948879953926371<37> * 1051543809110704722613632495009411089889481<43> * 1112314101311286003379752617807870409611285281<46> * 3815465557445576556927066195758955772398238343771<49> * 141122524877886182282233539317796144938305111168717<51> * 4512103729930413243964733865733316041820936901915809527857742889751595541910708971709035851<91> * 803956626149925031112757148192164970057208483589704631288984124647169634536861236854805849361<93> * 344341844846703786817473277913191388002951653836331226276069207904024253974360331148938523782918481623963597196523579507803885921997278081<138> * [2589866579...<229>] * [4603184964...<304>] * 1081148355...<476> * [1158014844...<1400>] (44.27%)
10^3466+1 = 1000000000...<3467> = 101 * 103981 * 346601 * [2747228764...<3454>] (0.36%)
10^3467+1 = 1000000000...<3468> = 11 * 15338009 * 4933638077<10> * 11905205919413<14> * [1009099817...<3437>] (0.89%)
10^3468+1 = 1000000000...<3469> = 73 * 137 * 2857 * 13266937 * 99990001 * 152533657 * 3078437249<10> * 183116258609<12> * 1119527384827710553<19> * 295408742516206507753<21> * 53043011765949537815976769<26> * 288903890273932269026126209<27> * 65552746171882583264230070868884366877803237222654400793<56> * 44432384794221343755897441742032531086615578692097502509412995439256236377<74> * [6140297287...<1041>] * [3385140167...<2156>] (7.83%)
10^3469+1 = 1000000000...<3470> = 11 * 1501508006697088459<19> * [6054519223...<3450>] (0.55%)
10^3470+1 = 1000000000...<3471> = 101 * 3541 * 15269 * 27961 * 131861 * 10854161 * 67896775181<11> * 321993545021008061<18> * 12751230513489757736401<23> * [6484373632...<688>] * [3805833607...<1344>] * [6651361353...<1362>] (2.21%)
10^3471+1 = 1000000000...<3472> = 7 * 11 * 13^2 * 157 * 179 * 859 * 6397 * 216451 * 3154339 * 1058313049<10> * 388847808493<12> * 1669902133303<13> * 118941438655807<15> * 12147237304901893<17> * 13378213694776381948129147625293<32> * 1054927415257693631440903203309586374903030044747807503<55> * 4180967272673252032291190917188955510245874180001164839931077197586653<70> * 277647953094263129557791800758437062357091717570293219577986145801595477739802212252078988231259971169<102> * [8222323436...<1025>] * [5449421147...<2100>] (9.98%)
10^3472+1 = 1000000000...<3473> = 353 * 449 * 641 * 673 * 1409 * 69857 * 1055489 * 1353089 * 10935809 * 43735845217<11> * 217860610452031121598489279950204653537<39> * 13561688366760553057065247502881760958056321<44> * 155944009296214054100626916003794407157304353<45> * [4983207363...<424>] * [9474281588...<2874>] (5.02%)
10^3473+1 = 1000000000...<3474> = 11 * 47 * 139 * 2531 * 82518481 * 181288487 * 417906091 * 7114280743<10> * 153653579173<12> * 549797184491917<15> * 4231490774377007<16> * 12331942624071394811<20> * 2646756758131654397378192081701748003041997<43> * 999882306178377345161889846655198592766347086896770989636138585751423<69> * [1059591245...<3259>] (6.19%)
10^3474+1 = 1000000000...<3475> = 101 * 6949 * 9901 * 1500769 * 999999000001<12> * 3516493057568485255839901<25> * 16041626127830486357454781<26> * 121281361155185115284360748638810161<36> * 1439921227944130405196041866693950149<37> * [6876063708...<348>] * [1476279953...<684>] * [9588800263...<2294>] (4.29%)
10^3475+1 = 1000000000...<3476> = 11 * 251 * 557 * 2503 * 5051 * 9091 * 66721 * 143046199651<12> * 19127321458801<14> * 78875943472201<14> * 167384409698972659288993463294401<33> * 652065570931334169846518762110895357104035953330623783530923329412897765703841859492780362601926814638167836591846272150911969126521<132> * [1648639858...<548>] * [2183528459...<2704>] (6.46%)
10^3476+1 = 1000000000...<3477> = 73 * 137 * 617 * 27809 * 166849 * 259121 * 73921249 * 2426630541212597809<19> * 16205834846012967584927082656402106953<38> * 5220170227...<299> * [8882409429...<3092>] (11.05%)
10^3477+1 = 1000000000...<3478> = 7 * 11 * 13 * 367 * 81131 * 1458973 * 51745081 * 49322037757<11> * 40498340376691<14> * 909090909090909091<18> * 3072785410997717953940247877<28> * 753201806271328462547977919407<30> * 42936744040512685057308971520417028077990465463<47> * 33277993916065498965234812212436587255656671587921<50> * 11205222530116836855321528257890437575145023592596037161<56> * [3579813924...<1053>] * [1845017037...<2150>] (7.91%)
10^3478+1 = 1000000000...<3479> = 101 * 149 * 3109 * 45121 * 111149 * 708840373781<12> * 6632901868961<13> * 669031686661427842829<21> * 120211879995257326922509<24> * 27269495703120268132171961<26> * 40548140514062774758071840361<29> * 2144906157509411684424913774078958939881<40> * 1023037643093214557651333120422980213172396059301<49> * [4645081153...<3251>] (6.54%)
10^3479+1 = 1000000000...<3480> = 11 * 197 * 290249 * 909091 * 6485802289<10> * 36498567794777234063<20> * 79477820796939573294671427379<29> * 5076141624365532994918781726395939035533<40> * 257206104226396960131527490253249591680919459<45> * 31321069464181068355415209323405389541706979493156189716729115659<65> * [4276725442...<376>] * [5315138234...<2882>] (6.37%)
10^3480+1 = 1000000000...<3481> = 17 * 929 * 5569 * 23201 * 182353 * 4465073 * 5070721 * 5559649 * 5882353 * 1132716961<10> * 9999999900000001<16> * 19721061166646717498359681<26> * 281259985248437790051014401<27> * 31388506438433752927908678241<29> * 10825430995573655349911905703088339464977<41> * 3114824318784041623490389014199610366824348609<46> * 4948797624251336428769758769452316283490536687091682910619153<61> * 369660333075000068856709492212454991557448976437779979434921265833995781602906344537626232976067313<99> * [2983528676...<398>] * [1000000009...<897>] * [9999999900...<1792>] (11.34%)
10^3481+1 = 1000000000...<3482> = 11 * 1889 * 20887 * 62659 * 178149538891<12> * 1090805842068098677837<22> * 37152018296153175601063<23> * 4411922770996074109644535362851087<34> * [1154445297...<3380>] (2.93%)
10^3482+1 = 1000000000...<3483> = 101 * 487481 * 34994101 * 66876455381090640401<20> * [8678663417...<3447>] (1.01%)
10^3483+1 = 1000000000...<3484> = 7 * 11 * 13 * 19 * 1459 * 6967 * 13933 * 52579 * 1708219 * 2368441 * 10455967 * 57009401 * 70541929 * 2182600451<10> * 2458921051<10> * 14175966169<11> * 41130156794062447<17> * 456502382570032651<18> * 135564781262309171263<21> * 610600386089858349939139<24> * 7306116556571817748755241<25> * 304768036847074491064894608014695867632997<42> * 3605696680890791382725432167911038465896663<43> * 35037423610997086622096063353212253926195272207441939622830330161546317292588303<80> * 38889628638569601104885745910305810521309841050950415367273378889527486268283796029292760115427939721808793488543910010656122551369920766848757<143> * [1000000000...<757>] * [3208485671...<2234>] (14.17%)
10^3484+1 = 1000000000...<3485> = 73 * 137 * 1580801 * 9239568001<10> * 27316505681<11> * 179093946929<12> * 895514891418016481<18> * 266451574608556083851467169<27> * 632527440202150745090622412245443923049201<42> * 188559663327876471888363315685992845311774522520360566601659121<63> * 1083931224855529288843363709480842047163176902274082018904635281652127276952058927069578788560035566749512645808889946013865548858442895580378678360552528197692322041991044570589569<181> * [4536288404...<3114>] (10.63%)
10^3485+1 = 1000000000...<3486> = 11 * 103 * 4013 * 6971 * 9091 * 87211 * 787223761 * 21993833369<11> * 166147624704857171<18> * 184952466900411703<18> * 2670502781396266997<19> * 3404193829806058997303<22> * 436026711667335044426416921<27> * 165525666279467793827703089744624213<36> * 160220794821014452066741918303580917664386555934641<51> * 25227559933282973049929756675369873687524422119109873612963516263168625757367193407132891393542516779351543564997326723299457284056291<134> * [3593082690...<588>] * [7849146556...<2539>] (10.29%)
10^3486+1 = 1000000000...<3487> = 29 * 101 * 281 * 9901 * 226549 * 121499449 * 13870856749<11> * 312216339121<12> * 1033593699289<13> * 4458192223320340849<19> * 3130255357115878577477978101<28> * 23023967955265160767768376873521136169786061<44> * 4300297028838474156015268798064619519844286165272568941158694953418333634388515222398381949374346543672407516659353137441<121> * 9771721622...<316> * [7281453613...<974>] * [1013079823...<1930>] (16.73%)
10^3487+1 = 1000000000...<3488> = 11^2 * 23 * 4093 * 8779 * 3536453 * 12361733 * 68009240067498931554643059611689714176253<41> * 274615609644013922993995246232974390841373964547585372623<57> * 1113440267...<206> * [1099999999...<3161>] (9.38%)
10^3488+1 = 1000000000...<3489> = 6977 * 19841 * 976193 * 6187457 * 678904321 * 29240059969409<14> * 834427406578561<15> * 17350219800686247054785857<26> * [4161400013...<3405>] (2.39%)
10^3489+1 = 1000000000...<3490> = 7 * 11 * 13 * 908305432997<12> * 34649350411801<14> * 197880946702887449<18> * 6725761392658111304398921266899<31> * [2170375460...<1089>] * [1098901098...<2325>] (2.20%)
10^3490+1 = 1000000000...<3491> = 101 * 3541 * 18149 * 27961 * 125641 * 376921 * 1081901 * 54104497406801<14> * 10055814629359462347481<23> * [1008306480...<679>] * [3287324067...<1364>] * [5963378211...<1382>] (1.91%)
10^3491+1 = 1000000000...<3492> = 11 * 6983 * 1481009164760539230887822201<28> * [8790377513...<3459>] (0.92%)
10^3492+1 = 1000000000...<3493> = 73 * 137 * 3169 * 98641 * 4141513 * 99990001 * 781809765337<12> * 3199044596370769<16> * 89889606269073901082901578436277965983883967076039535258233<59> * 1112364433...<326> * [1000099999...<769>] * [3088445061...<2286>] (12.56%)
10^3493+1 = 1000000000...<3494> = 11 * 1997 * 909091 * 2389213 * 8334299 * 92760841531<11> * 10595774496973<14> * 246557616593933<15> * 1761645225880931<16> * 305459619551875293289<21> * 90423008276017153733438983<26> * 7557915174825502448983768447<28> * [2697112988...<441>] * 1046236272...<2902> (87.39%)
10^3494+1 = 1000000000...<3495> = 101 * [9900990099...<3492>] (0.06%)
10^3495+1 = 1000000000...<3496> = 7 * 11 * 13 * 211 * 241 * 2161 * 9091 * 552677 * 1309927 * 7351777862771<13> * 13735253988715302521<20> * 131293689927974865167<21> * 22469589434122685267859016351677839053<38> * 110421163951010447109232550481508448746817791459<48> * 1134592082241812086025433183314893126820787225096226178690913133518090766822711174696961498979544523242604228920675194370887660714303521711888923919224666398211<160> * [3733501901...<421>] * 1089329516...<897> * [9100090999...<1856>] (34.86%)
10^3496+1 = 1000000000...<3497> = 17 * 134369 * 5882353 * 31735795756961<14> * 120553054891405588545727822543281066162803459003848166118314367809<66> * 829510285658710111215121966308351445187741335558528775675039806142270659943202818322753067885238020768017585089<111> * 234504682039452385472228601837391217101263308508305719138749905156540866534427238711769806579683320997636600725852987602204289<126> * [1000000009...<3169>] (9.38%)
10^3497+1 = 1000000000...<3498> = 11 * 859 * 269539 * 699401 * 2582401 * 1058313049<10> * 45860405002639100908494191393527373<35> * 1306056668...<257> * [3429482179...<3176>] (9.19%)
10^3498+1 = 1000000000...<3499> = 89 * 101 * 1061 * 3181 * 9901 * 34981 * 125929 * 5051749 * 1052788969<10> * 1056689261<10> * 5419170769<10> * 64695344429<11> * 133200830691589<15> * 789390798020221<15> * 2361000305507449<16> * 16238579240111082928921<23> * 1650244260647104976802437090486126821<37> * 187992901187185185404878781157273270049<39> * 245391150214875249502685807421982149521<39> * 75277048352808729626679875852901448034540173569840168229<56> * 15278590279454444563136979797805224163439540874769878797096077750173420678283300335413747713817503792216588098909716944819022901345851917974073820766105946285784669<164> * [6234476051...<977>] * [1743005715...<2054>] (13.38%)
10^3499+1 = 1000000000...<3500> = 11 * 13997 * 9440303 * 50839995170094676939<20> * 22331036502147525743964433841983<32> * [6059991797...<3436>] (1.81%)
10^3500+1 = 1000000000...<3501> = 73 * 137 * 401 * 1201 * 1601 * 2801 * 7841 * 24001 * 33601 * 322001 * 851761 * 1378001 * 1676321 * 28014001 * 1599581201<10> * 5496338401<10> * 5964848081<10> * 507893248801<12> * 179824257430154401<18> * 86311821371325102001<20> * 127522001020150503761<21> * 129694419029057750551385771184564274499075700947656757821537291527196801<72> * 1174155661036370531158387153086358732085761158354280249987966107746175275693416345665039841<91> * 3023577677...<390> * 1323226585...<425> * [1284391309...<2368>] (32.37%)