10^4001+1 = 1000000000...<4002> = 11 * 24007 * [3786774312...<3996>] (0.14%)
10^4002+1 = 1000000000...<4003> = 101 * 349 * 829 * 1289 * 9901 * 38861 * 618049 * 997369 * 1507421 * 1569889 * 18371524594609<14> * 32967030717721<14> * 66896398043281<14> * 73019536365089<14> * 15565833747318241<17> * 536430531035337769<18> * 757108543129939106221<21> * 157002934023127338801841<24> * 4181003300071669867932658901<28> * 4477350074169470752905544969081<31> * 925473240150495502771483432977308389<36> * 19108466176791400681292709171992566565029<41> * 11811806375201836408679635736258669583187541<44> * [1371655367...<1199>] * [3003303538...<2451>] (8.83%)
10^4003+1 = 1000000000...<4004> = 11 * 5762678771<10> * [1577549166...<3993>] (0.27%)
10^4004+1 = 1000000000...<4005> = 73 * 137 * 617 * 7841 * 574393 * 1580801 * 10727809 * 119424449 * 286569193 * 2506751895649<13> * 29254656783353<14> * 127522001020150503761<21> * 503186110849316156410721<24> * 53241089690155545084545617441<29> * 753630841791572038865885886001<30> * 16205834846012967584927082656402106953<38> * 632527440202150745090622412245443923049201<42> * 780010410791719540565140196582552053062384449<45> * 146922836547557380904624883811070801579636649582426027039761<60> * 48651926154169704306969810270043128092917988274505675071805716365801863993<74> * 1236386443286416000845205982296310762602996796920706630693450425385353425494707969<82> * 494989576335933678241287643493876779780477962643805901339815106786961691436729452816424866873<93> * 3117814097707474151636414249725282442495420872481503567637409314701821275097272518686106760443668816338775822931861913879972129<127> * 2208324408...<419> * [1363484525...<2855>] (28.72%)
10^4005+1 = 1000000000...<4006> = 7 * 11 * 13 * 19 * 179 * 211 * 241 * 2161 * 8011 * 9091 * 28837 * 29611 * 49663 * 52579 * 168211 * 261127 * 3154339 * 3762091 * 4600411 * 317384681 * 2325820447<10> * 6760092011<10> * 366468369571<12> * 2290241528677<13> * 8985695684401<13> * 16115071712611<14> * 118941438655807<15> * 255690484327801<15> * 12147237304901893<17> * 269495141141814829479001<24> * 332073601264920920030201<24> * 14368738499109009207276617717065856029384012938971<50> * 1054927415257693631440903203309586374903030044747807503<55> * 80855294634541341009709576571189264494703351351547829906051<59> * 630859966703635424146382843107732835487998079409968772589281<60> * 4180967272673252032291190917188955510245874180001164839931077197586653<70> * 277647953094263129557791800758437062357091717570293219577986145801595477739802212252078988231259971169<102> * 4578874233436492255420074091728599390739701337128105672841258457419967593738672737760634060764636230914653052782313062339754313662352611<136> * 1371214206...<481> * [4190562944...<682>] * 1449774369...<2075> (82.98%)
10^4006+1 = 1000000000...<4007> = 101 * 3885821 * 5284962170189393441<19> * [4821186727...<3979>] (0.68%)
10^4007+1 = 1000000000...<4008> = 11 * [9090909090...<4006>] (0.03%)
10^4008+1 = 1000000000...<4009> = 17 * 8017 * 3591169 * 5882353 * 1947832425073<13> * 1830514304695057<16> * 9999999900000001<16> * 5380921084071102626043163955108593<34> * [1521216492...<1307>] * [1190090276...<2607>] (2.39%)
10^4009+1 = 1000000000...<4010> = 11 * 909090909090909091<18> * 2764617069785703725933625413<28> * 328830679310453754915155768227495235329261497517806584073599983097585101077717193987768606878995960468762394797684114544714219984484001065567626526501680440465693288035792812855582407<183> * [1099999999...<3781>] (5.71%)
10^4010+1 = 1000000000...<4011> = 101 * 3209 * 3541 * 27961 * 75389 * 10174308341<11> * [4092615328...<792>] * [3515138208...<1590>] * [2824060999...<1601>] (0.71%)
10^4011+1 = 1000000000...<4012> = 7^2 * 11 * 13 * 127 * 383 * 2293 * 2689 * 32089 * 104287 * 369013 * 459691 * 679961 * 909091 * 4041943 * 955059211 * 78087485383<11> * 6227068146895429303<19> * 27400114059743151607<20> * 588168061299661178374249<24> * 610639014108285241409303<24> * 3370796736173938091727422330529475982098304687381174810841794785884893349397<76> * 34355007868290105260151014423846456692008580727031775135173625397961285416300659<80> * [1749049828...<358>] * [4881647625...<1111>] * [7424548043...<2228>] (7.86%)
10^4012+1 = 1000000000...<4013> = 73 * 137 * 3313913 * 152533657 * 395026241 * 6218964172073<13> * 3410758635375200561<19> * 77354772713701196469683613841<29> * 65552746171882583264230070868884366877803237222654400793<56> * 32394937980403032343941480318880086318307142570248235727782772042697<68> * 36837015057313006096634536795587748230336921494253255771361450341226561526611901358724245001042863132758337028749847212746321<125> * [3901352662...<3677>] (8.36%)
10^4013+1 = 1000000000...<4014> = 11 * 16156339 * 986506680491<12> * 844963121863117<15> * 11092134801718675055606994656545513411<38> * [6085712525...<3941>] (1.80%)
10^4014+1 = 1000000000...<4015> = 101 * 9901 * 4388641 * 9574729 * 999999000001<12> * 5721432945541<13> * 45738054413461<14> * 27740261651692489<17> * 21324502683608069609<20> * 202541585235806968718340098089<30> * 1151849959315534266411044521456433499421<40> * 6159486985016013075067913427429040588111855293215481915322769<61> * 4638735768...<260> * [1054859087...<882>] * [2186365408...<2651>] (12.02%)
10^4015+1 = 1000000000...<4016> = 11^2 * 23 * 293 * 331 * 1607 * 4093 * 5171 * 8779 * 9091 * 20163494891<11> * 318727841165674579776721<24> * 10826684964539959837294043117<29> * 286578888976194997999922592330908602103011<42> * 209567419815575088893039502374017044565180465719504614143239653652312239618655809712098924957353042723741728874079596356118568603287093812371<141> * 5248855003692933364739585667866481201678356022616389680814320588021598396149319699845570559106183903505230306376836171496217871464621288358987576841<148> * [6845052893...<717>] * [9091000000...<2880>] (10.42%)
10^4016+1 = 1000000000...<4017> = 353 * 449 * 641 * 1409 * 24097 * 69857 * 433729 * 34554815338492246487263153419841<32> * [2768917301...<3959>] (1.43%)
10^4017+1 = 1000000000...<4018> = 7 * 11 * 13^2 * 157 * 619 * 859 * 1237 * 6397 * 24103 * 216451 * 522211 * 3580487 * 34200739 * 44092859 * 102860539 * 984385009 * 1058313049<10> * 388847808493<12> * 612053256358933<15> * 182725114866521155647161<24> * 1471865453993855302660887614137521979<37> * 1775284489...<202> * [7136708810...<1200>] * [9100000000...<2448>] (9.19%)
10^4018+1 = 1000000000...<4019> = 29 * 101 * 281 * 24109 * 68389 * 121499449 * 139723081 * 367470209 * 1447745997018511893740076606031686237538345362413531560645573104006506749609<76> * 999999999999990000000000000099999999999999000000000000009999999999999900000000000001<84> * [1967121041...<464>] * [4147828611...<3356>] (4.95%)
10^4019+1 = 1000000000...<4020> = 11 * [9090909090...<4018>] (0.03%)
10^4020+1 = 1000000000...<4021> = 73 * 137 * 1676321 * 99990001 * 213875257 * 5964848081<10> * 27316505681<11> * 179093946929<12> * 1086098236481<13> * 5570533633681<13> * 551715373109737<15> * 1062496987134964686759841<25> * 100009999999899989999000000010001<33> * 27437339325626356979018615179776401<35> * 188559663327876471888363315685992845311774522520360566601659121<63> * 1083931224855529288843363709480842047163176902274082018904635281652127276952058927069578788560035566749512645808889946013865548858442895580378678360552528197692322041991044570589569<181> * [7977009150...<481>] * [3356080152...<1010>] * [1794980653...<2100>] (10.70%)
10^4021+1 = 1000000000...<4022> = 11 * 88463 * 184967 * 711419447 * 19042068258132844499863<23> * 218903428972603156296752043241<30> * 3613740590384116835954173411741899601<37> * [5184441879...<3913>] (2.69%)
10^4022+1 = 1000000000...<4023> = 101 * 201101 * [4923391777...<4015>] (0.18%)
10^4023+1 = 1000000000...<4024> = 7 * 11 * 13 * 19 * 2087 * 52579 * 70541929 * 2930436343<10> * 14175966169<11> * 452421222259<12> * 2079121605721<13> * 9725905402942447<16> * 9615683031450065714899<22> * 48190605294889499589640639353007<32> * 65123750727058508179886800105813<32> * 165459609176797865866134365329792270635207840943<48> * 2737869430252705432917439814481839640694075521336313521691938014929169431049<76> * 3986607281...<263> * 1537073629...<857> * [2133573349...<2617>] (34.97%)
10^4024+1 = 1000000000...<4025> = 17 * 5882353 * [9999999900...<4016>] (0.20%)
10^4025+1 = 1000000000...<4026> = 11 * 47 * 139 * 251 * 691 * 967 * 2531 * 5051 * 9091 * 366851 * 594091 * 909091 * 1302491 * 1835401 * 2157401 * 2197651 * 4147571 * 459903401 * 1569936761<10> * 3612546001<10> * 46688538121<11> * 299547376801<12> * 3383037210281<13> * 62170786600441<14> * 78875943472201<14> * 167811745562651<15> * 549797184491917<15> * 134946626777348891<18> * 265212793249617641<18> * 1203881882727712699967<22> * 23391028206417273637358380573<29> * 7775058388319250595762800404689<31> * 3309383964775818489317002654646529291847<40> * 32440834445441841472929305195997668063092782499890401<53> * 15918798843849477568899983937931966555877132981347465830696251648192619376266439940521<86> * 924113758530847383764787530400912659976463549693743820952869672176334445090649182638712486115217201<99> * [1827073412...<374>] * 8865812680...<462> * [6847826328...<2607>] (25.96%)
10^4026+1 = 1000000000...<4027> = 89 * 101 * 9901 * 76129 * 85889 * 190321 * 390889 * 1587221 * 3534829 * 4801921 * 1052788969<10> * 1056689261<10> * 2834820061<10> * 3812801341<10> * 5419170769<10> * 81183810541<11> * 5538076536829<13> * 10084101518041<14> * 789390798020221<15> * 2361000305507449<16> * 19699111703264994820381<23> * 2418666002101476599410229029<28> * 101444162656037151745878558385892753596849<42> * 75743388768260974116327848920184337528059461788181539337429709<62> * 1305704182448226909845888790598975114740359397093421223355030629345156521<73> * 1087990925195463452802538049940594096989130726971208253428665898558089768698552971751226781442226809<100> * [1166129060...<1183>] * [2567468091...<2359>] (12.06%)
10^4027+1 = 1000000000...<4028> = 11 * 21057827321<11> * 16872981766925707296667327<26> * [2558597184...<3991>] (0.91%)
10^4028+1 = 1000000000...<4029> = 73 * 137 * 457 * 18233 * 1403417 * 173993489 * 67406298457<11> * 1488067111584049<16> * 899319337247551841<18> * 3911081495364545809<19> * 5240808656722481737<19> * 23641392997940421257<20> * 297478330786365628414805305290302483555043017<45> * 54469179239047116300845682623717697162577784999950014081337618457<65> * 4721039325728010820594679541353546669967335225378893722566311366791400472881<76> * [1469648801...<3718>] (7.72%)
10^4029+1 = 1000000000...<4030> = 7 * 11 * 13 * 103 * 1423 * 2687 * 4013 * 6637 * 8059 * 132247 * 660757 * 9615060929<10> * 18694414957<11> * 21993833369<11> * 195547985051<12> * 291078844423<12> * 49331361513743<14> * 251929300973667058933<21> * 377526955309799110357<21> * 2762442988033795145503<22> * 66443174541490579097997510158021076958392938976011506949065646573<65> * 1251990291329257796002278912741887225923362508309806834359341444948291275981327174223618327402150792085738318266379138644493775947105115101637978649<148> * [4243738078...<1220>] * [1313513618...<2435>] (9.31%)
10^4030+1 = 1000000000...<4031> = 101 * 521 * 3541 * 6449 * 27961 * 427181 * 2049349 * 2311921 * 195052001 * 949347101 * 10577123401729<14> * 1031498834064949381<19> * 12763852652999774041<20> * 1900381976777332243781<22> * 12119730504567977254081<23> * 182435290172703727083336361<27> * 1239858939218539856857839641<28> * 2737820036624672031089487008281<31> * 82592760966277013868739662817141<32> * 9563613411880480653886428115541468801<37> * 483128549554512237305554588359039822397307149685578249<54> * 357640999964236257644576374235721183076427881763885411823611483852508851614756267658524373235935767676406423590000357641<120> * 2824060999717591075967240892404687941259531205309234679469076729737362327026207286077379271406382377859361759390002824061<121> * [3466167114...<698>] * 3728749773...<1363> * [8025919910...<1378>] (48.50%)
10^4031+1 = 1000000000...<4032> = 11 * 59 * 557 * 2503 * 4982317 * 59298412477<11> * 15224672957979493<17> * 154083204930662557781201849<27> * 3958015527680907296567567953663<31> * 652065570931334169846518762110895357104035953330623783530923329412897765703841859492780362601926814638167836591846272150911969126521<132> * [6178638645...<3800>] (5.74%)
10^4032+1 = 1000000000...<4033> = 1153 * 3457 * 12289 * 23041 * 473089 * 588673 * 983809 * 105528193 * 418725889 * 791159041 * 1265011073<10> * 632968941697<12> * 3007219953131521<16> * 15343168188889137818369<23> * 80819665754328935121409<23> * 71496883142749489503687942051713<32> * 275158773279860146670791344679553<33> * 515217525265213267447869906815873<33> * 338579887181973006729167651681190977281<39> * 16603249990114694613009401045119923580957837937462177950368477911534904193<74> * 4816826731...<312> * 3764171210...<377> * [1736715616...<704>] * [1726692854...<2293>] (25.71%)
10^4033+1 = 1000000000...<4034> = 11 * 7253 * 422650073734453<15> * 3338786746233023<16> * 296557347313446299<18> * 709945811293900121590840009<27> * 14060959683864286267405933000927102019<38> * 19364383321148719295180578853325741855858987848620134943<56> * [1549414029...<3862>] (4.26%)
10^4034+1 = 1000000000...<4035> = 101 * 8069 * 243537843869770129776781<24> * [5038397803...<4005>] (0.73%)
10^4035+1 = 1000000000...<4036> = 7 * 11 * 13 * 211 * 241 * 2161 * 9091 * 269539 * 895771 * 2582401 * 127142398459291<15> * 53154512397409181192081<23> * 29789326200125445381652099<26> * 21044037584000626448961059324881<32> * 1306056668...<257> * [3688908878...<511>] * [7734437511...<1004>] * [1015894799...<2139>] (9.48%)
10^4036+1 = 1000000000...<4037> = 73 * 137 * 242161 * 829914254559409<15> * [4975298560...<4012>] (0.60%)
10^4037+1 = 1000000000...<4038> = 11^2 * 23 * 4093 * 8779 * 6337012003051224701798337646203298967<37> * 1434573437...<330> * [1099999999...<3661>] (9.34%)
10^4038+1 = 1000000000...<4039> = 101 * 9901 * 185749 * 790835789839489<15> * 1147159382893201<16> * 213608404018568951197473659249281<33> * [9900990099...<1344>] * [2805860290...<2621>] (1.82%)
10^4039+1 = 1000000000...<4040> = 11 * 36929 * 909091 * 36724333053682037<17> * 4085803565117909125465863327515767<34> * [6025072598...<538>] * [2995288950...<3440>] (1.53%)
10^4040+1 = 1000000000...<4041> = 17 * 32321 * 48481 * 5070721 * 5752961 * 5882353 * 63783521 * 241512820454226049<18> * 1153293594368277071989921<25> * 19721061166646717498359681<26> * 5897861123026503881036334241<28> * [7020455063...<755>] * [1508008697...<3153>] (3.29%)
10^4041+1 = 1000000000...<4042> = 7 * 11 * 13 * 19 * 52579 * 114045103 * 2402657371<10> * 10985587813<11> * 481869541779887<15> * 149875511372280830299739<24> * 1979498820250457412915603811<28> * 8696733443479669848434340373<28> * 5788534334...<373> * [1098901098...<897>] * [4200581672...<2643>] (12.43%)
10^4042+1 = 1000000000...<4043> = 101 * 45121 * 242521 * 338669 * 525461 * 8741281867261<13> * 2790585923686397120521<22> * 2144906157509411684424913774078958939881<40> * 1023037643093214557651333120422980213172396059301<49> * 2923500556298303355222653948542706598448925085853709961673200056984872843366529<79> * [3249084540...<3819>] (5.53%)
10^4043+1 = 1000000000...<4044> = 11 * 859 * 8087 * 82727 * 1625287 * 89609053 * 1058313049<10> * 7703548373<10> * 2122689869717<13> * 7966595011106561<16> * 3416317897947415066069561<25> * 835375365056917236891484436143<30> * 972257004001983078662961403513565995843134142539444914120798476327<66> * 6233584499738299340076596109269276052417987101388073691610569618213<67> * 375700593067719892293634457990858198043520716058451444985194026578547509426501929457106333<90> * [1212362455...<3693>] (8.68%)
10^4044+1 = 1000000000...<4045> = 73 * 137 * 207593 * 22622137 * 99990001 * 6417136062678937<16> * 28060177869481210079003327188873<32> * 87621827832372981614062571297033<32> * [1349479413...<1253>] * [1000099999...<2689>] (2.57%)
10^4045+1 = 1000000000...<4046> = 11 * 1619 * 9091 * 25889 * 35597 * 14305637609<11> * 4916637124331<13> * 389074661646211<15> * [1094691193...<772>] * [2237279205...<3220>] (1.35%)
10^4046+1 = 1000000000...<4047> = 29 * 101 * 281 * 2381 * 28559389 * 121499449 * 1491383821<10> * 7948763509<10> * 275855329893529<15> * 2324557465671829<16> * 249594146127827929<18> * 239872348404046672381<21> * 20087794479102305428621<23> * 2183679952332451283732916241<28> * 2655317356577780943118905699484715479872507421<46> * 5582637833682557709253612812885341475900082138954691763178176941<64> * 13712255219708533473813623053189821987961076229175414555827926545777661379291311684923609<89> * [2880580367...<434>] * [1258057305...<3255>] (8.86%)
10^4047+1 = 1000000000...<4048> = 7 * 11 * 13 * 2699 * 56659 * 290249 * 1458973 * 2107849 * 17202612969211<14> * 2522080008372409<16> * 909090909090909091<18> * 21977699107816352490639478201<29> * 753201806271328462547977919407<30> * 31321069464181068355415209323405389541706979493156189716729115659<65> * 2372121273417053818094646796447673682891780435916485887293151054782924005644394241806042716589462595192339<106> * [4181445848...<1239>] * [3608132957...<2505>] (7.51%)
10^4048+1 = 1000000000...<4049> = 353 * 449 * 641 * 1409 * 11969 * 69857 * 153089 * 4913921 * 470909313601<12> * 1704278609811914968161380775058049<34> * 107896522139513920752730643638401909724513<42> * 361057759540097288072937247979725352972055181853408265699800478521559326591153094457376181755912540092512773699689532234798987224827675649<138> * 6054085745...<306> * [5867585230...<3487>] (13.86%)
10^4049+1 = 1000000000...<4050> = 11 * 185460397 * 3919481511173<13> * 7583584954715414619739841<25> * [1649122637...<4003>] (1.16%)
10^4050+1 = 1000000000...<4051> = 61 * 101 * 109 * 181 * 541 * 601 * 1621 * 1801 * 3541 * 8101 * 9901 * 19441 * 27541 * 27961 * 33301 * 56701 * 60101 * 68041 * 72901 * 119881 * 139501 * 153469 * 261301 * 329941 * 437401 * 560701 * 1903501 * 2925721 * 3903901 * 3933901 * 4188901 * 5030101 * 7019801 * 34146901 * 39526741 * 49229101 * 68189581 * 187053301 * 168290119201<12> * 999999000001<12> * 14103673319201<14> * 396466222125601<15> * 1680588011350901<16> * 25074091038628125301<20> * 29639179139212862101<20> * 46451545582789362601<20> * 4999437541453012143121<22> * 13029637224192121671301<23> * 1105097795002994798105101<25> * 8359025705527014660939301<25> * 67128593062302476037266041<26> * 7997499229153265919258822361<28> * 58492177198550575553528635501<29> * 59779577156334533866654838281<29> * 8751155967804851127450182913301<31> * 38654658795718156456729958859629701<35> * 152372720018473862927761564984708391701<39> * 30504342109530022290339930441561275249401<41> * 292833529380862495499652402770042860551961<42> * 2187911623791867750065408022595894263802921<43> * 141849229571534821256183437819902857798933927761<48> * 902957305935680526667861848839993076071896366838581<51> * 156769564119516597956194927133905066434402684839835301<54> * 278122726554927608421392646682775110116681922088002932901<57> * 79802900676249574386310013540996547368285959759708473463717727701<65> * 216228542818328308783433809596084627890392881018159564738348653328755727601<75> * 71618803865606542412383896587352242997259054038820075447553395780556284501401142201<83> * 341796090604674881849636380229010216626944264336893367139245334739710314141368913850637159182300704681<102> * 99117149282563722929051566237497937720056695397183763904238474736246500418974132909060059378824349483926175101<110> * 297134935059434848691686488189687003283048362636793125222145082651787396540653146423539079787300761023519093629701<114> * 999999900000004999999899999998000000199999995000000000000002999999999999995000000199999997999999900000004999999900000001<120> * 3680459508...<312> * 1619554435...<1046> * [2419222405...<1071>] (73.57%)
10^4051+1 = 1000000000...<4052> = 11 * 121531 * 49292569 * 759297743019692861027719699<27> * [1998603673...<4011>] (1.00%)
10^4052+1 = 1000000000...<4053> = 73 * 137 * [9999000099...<4048>] (0.10%)
10^4053+1 = 1000000000...<4054> = 7^2 * 11 * 13 * 127 * 1931 * 2689 * 10037 * 459691 * 760807 * 909091 * 1430131 * 2285893 * 89052517 * 166376423 * 197130359208641543369948601899772685881314797880591361841987239812905237552876758580360078419442702688883521253076425640461215518675198704069680024806236407348374092599681<171> * [1621951668...<371>] * [1099999890...<1153>] * [3980939138...<2298>] (5.75%)
10^4054+1 = 1000000000...<4055> = 101 * 5631092853280671492601<22> * [1758271503...<4031>] (0.59%)
10^4055+1 = 1000000000...<4056> = 11 * 9091 * 3409032013<10> * [2666712737...<801>] * [1099989000...<3241>] (0.36%)
10^4056+1 = 1000000000...<4057> = 17 * 1249 * 49297 * 300977 * 648961 * 5882353 * 148068337 * 335131057 * 565674097 * 10662171313<11> * 2325695579377<13> * 325807801400017<15> * 9999999900000001<16> * 1055692801378229873<19> * 249227787818677482257<21> * 6193075131321119170897<22> * 503339592150003436594038442561<30> * 333632766438409011274705987026407639670042305536743429073<57> * 14051485220127306539558738857309372503949399323665750407976449<62> * 138359326498705141346583789519515896493739312069900779478063763162990060463305717055848920585883537<99> * 3326864054...<1192> * [2071696382...<2454>] (39.51%)
10^4057+1 = 1000000000...<4058> = 11 * [9090909090...<4056>] (0.03%)
10^4058+1 = 1000000000...<4059> = 101 * 68040718385429<14> * [1455156608...<4043>] (0.39%)
10^4059+1 = 1000000000...<4060> = 7 * 11^2 * 13 * 19 * 23 * 739 * 4093 * 5413 * 8779 * 52579 * 67651 * 148339 * 1426063 * 16419517 * 298693693 * 599144041 * 7093127053<10> * 183411838171<12> * 267003239205288169<18> * 315073697412756811<18> * 2670502781396266997<19> * 3404193829806058997303<22> * 69606016705406484991000471515023784726122029891<47> * 141122524877886182282233539317796144938305111168717<51> * 61051796035522969271171274876554178504544683763248923853725596423<65> * 1000999998...<241> * 5290781804...<345> * [5530676839...<768>] * [3741531387...<2383>] (22.39%)
10^4060+1 = 1000000000...<4061> = 73 * 137 * 233 * 7841 * 355193 * 851761 * 1676321 * 17456377 * 49474001 * 5964848081<10> * 21591416633<11> * 127522001020150503761<21> * 442538882251054324977361<24> * 144919694966021542240510318821809<33> * 17468739848498438039329935679794457<35> * 320326994163169943384295066992439316655840979654890345228609<60> * 1174155661036370531158387153086358732085761158354280249987966107746175275693416345665039841<91> * [4567882870...<417>] * [3953319397...<633>] * [9999000099...<2688>] (7.95%)
10^4061+1 = 1000000000...<4062> = 11 * 263 * 203051 * 4150343 * 143158373 * 1397382241<10> * 5107438481<10> * 306662501757259<15> * 525786373041914526306757<24> * 8002634608685273432504971<25> * 909090909090909090909090909091<30> * 112506283680098168752627601991569<33> * 1363608083180796048411168783196497071688492468691<49> * [2230748842...<3846>] (5.31%)
10^4062+1 = 1000000000...<4063> = 101 * 9901 * 11989453361<11> * 105850491231217489<18> * 36764627737869172094680667009<29> * 1354592090378874321847140113114629<34> * [1566562251...<1264>] * [1009998990...<2705>] (2.33%)
10^4063+1 = 1000000000...<4064> = 11 * 103 * 4013 * 16253 * 24379 * 3112259 * 10913219 * 547594889 * 21993833369<11> * 34525066541041<14> * 508399838327574001<18> * 2373058463205177370688384659<28> * 2846390188891241030645451773087716881978563746547069042984813032147999326242449<79> * 6282138071505210318841228543562283508437569619884438177000652801796615935488955777747431198279234592543622766101015393665597896857185313159459<142> * [1821848722...<3737>] (8.04%)
10^4064+1 = 1000000000...<4065> = 19841 * 642113 * 976193 * 6187457 * 281440129 * 834427406578561<15> * [5533533152...<4018>] (1.14%)
10^4065+1 = 1000000000...<4066> = 7 * 11 * 13 * 211 * 241 * 2161 * 3253 * 9091 * 552841 * 4510549276171<13> * 4260945193341481<16> * 1358932280476739962681<22> * 4002087504402581851825081<25> * 13999867318772752070586571<26> * 19633880890121399344333447<26> * 13631530938380353975492092299<29> * 399043838982071991709808323681<30> * 2361737551129877719236265175893<31> * 14346353391098975362754290118329<32> * 21765743514521277143440823504372166157<38> * 256031814642414583920091086688834271205176259587307504943<57> * 80072738860992416363006630180480205233270947285561349320187586148230645206844076936593016233492608684386014640420902971076925333121186484088558037848433079987468965872130196785578571<182> * [1372794546...<411>] * 5723385019...<1052> * [2995137814...<2060>] (39.25%)
10^4066+1 = 1000000000...<4067> = 101 * 142830449 * 40882343106721<14> * 722817036322379041<18> * 1369778187490592461<19> * 2421825498886875706568085804897442030525256100180294305383840413574930314582991559155197335837338973747281007884658776715423100656032123324942160620509168628560523446063044557248001192491268292405581<199> * [7071321325...<3808>] (6.35%)
10^4067+1 = 1000000000...<4068> = 11 * 167 * 197 * 997 * 909091 * 3565183 * 2097307081<10> * 60176593933<11> * 4686412205793183223<19> * 7742098247001476863<19> * 8611567866083842493<19> * 18471432177061658369<20> * 22284639767043539427670611660521<32> * 5076141624365532994918781726395939035533<40> * 33924399706846018566481718349000999107579<41> * 943176903141330068482602900960294299878841<42> * [2417949630...<410>] * [1341457011...<3388>] (6.65%)
10^4068+1 = 1000000000...<4069> = 73 * 137 * 2713 * 3169 * 98641 * 170857 * 99990001 * 217294481 * 1763670553<10> * 5691376081<10> * 3199044596370769<16> * 3004663012668187601<19> * 23496896216135822356297<23> * 958199619198582092108713<24> * 83589345589492067422548510022510208449<38> * [1145207867...<390>] * [2609571800...<822>] * [5852847703...<2683>] (4.30%)
10^4069+1 = 1000000000...<4070> = 11 * 859 * 5009 * 34399327 * 1058313049<10> * 1074844665139845442819616837<28> * 3942061217624131929520541160207424212724650028976527<52> * 589855742530873303648997100606906463934277315614405401704255573694516882878454393085805024793769310885400567<108> * 72617518122470447454518812762092739764061943025353225549543353013253141910591452067570296901386356517079584442320341255503<122> * [3197736978...<3737>] (8.17%)
10^4070+1 = 1000000000...<4071> = 89 * 101 * 149 * 661 * 1481 * 3109 * 3541 * 15541 * 18041 * 24421 * 27961 * 32561 * 68821 * 111149 * 115589 * 148721 * 1052788969<10> * 1056689261<10> * 1121407321<10> * 6336499381<10> * 7716573481<10> * 49058754361<11> * 74615611921<11> * 708840373781<12> * 2786425101241<13> * 4098464044501<13> * 33965532782501<14> * 26860773000292529<17> * 107771345624719321<18> * 669031686661427842829<21> * 475941529644339249381661<24> * 16206170837408945509907221<26> * 1395900370916327245555441901<28> * 40548140514062774758071840361<29> * 36380545029953205956377406702261<32> * 80622744652166457696395245164203461<35> * 271880675850180367872653023164942909880799363524216099671322919521<66> * 1106856391195125605067659687372491496603851278760356356904482039681<67> * 626055461692786521088697527599460905632342461236940562171461942282321<69> * 1726229049...<685> * [2145395820...<1369>] * [7955362224...<1412>] (31.69%)
10^4071+1 = 1000000000...<4072> = 7 * 11 * 13 * 47 * 139 * 1889 * 2531 * 31051 * 7612771 * 5459968207<10> * 60247408327<11> * 143574021480139<15> * 492087392670451<15> * 549797184491917<15> * 22312640768303969<17> * 968385024074451409<18> * 2676157881043509853<19> * 1090805842068098677837<22> * 256387471158747287936251<24> * 24649445347649059192745899<26> * 3203031926532314264104769060847481<34> * 4411922770996074109644535362851087<34> * 219734968010040680865912320713950289<36> * [6475882285...<1253>] * [1321028664...<2505>] (7.71%)
10^4072+1 = 1000000000...<4073> = 17 * 5882353 * 236763662897<12> * 5668041536949494763169457<25> * [7451640959...<4028>] (1.08%)
10^4073+1 = 1000000000...<4074> = 11 * [9090909090...<4072>] (0.03%)
10^4074+1 = 1000000000...<4075> = 29 * 101 * 281 * 389 * 9901 * 226549 * 14980681 * 121499449 * 503750101 * 103828831429<12> * 4458192223320340849<19> * 5422939221250143727788109<25> * 23888331928755038568489169001705089<35> * 78412655334235167606162810513004420610966509546603404268745999503561001<71> * 32459577600675557860942537579547020207960799876413377335594586605416959347268194103170247296625068200526946320832808609<119> * [6742009859...<377>] * [1009999999...<1153>] * [1461252900...<2226>] (7.85%)
10^4075+1 = 1000000000...<4076> = 11 * 251 * 653 * 5051 * 9091 * 13693 * 30971 * 285251 * 2430331 * 3512651 * 3760411 * 685857336361<12> * 78875943472201<14> * 14286890032106357<17> * 9903615620569964474761<22> * 549692094842681735580674239279801<33> * 66953479943839030979655991920753816099754871899<47> * 106288106156544189601112452124463274118441603168767263777500290285464677481570934480831778653<93> * [5721432892...<597>] * [1815610448...<3196>] (6.94%)
10^4076+1 = 1000000000...<4077> = 73 * 137 * 32609 * 1418449 * 56330321 * 700138744040321<15> * 161152606309703520071089<24> * 935691385845929911240971439606855630225681<42> * [3635038912...<3974>] (2.51%)
10^4077+1 = 1000000000...<4078> = 7 * 11 * 13 * 19 * 38053 * 52579 * 72481 * 133183 * 481087 * 2761489 * 70541929 * 181288487 * 293030299 * 5780201179<10> * 14175966169<11> * 123394808161<12> * 153653579173<12> * 28594087826041<14> * 514317473256331<15> * 6227951681897047<16> * 531523386298753561<18> * 12331942624071394811<20> * 2646756758131654397378192081701748003041997<43> * 999882306178377345161889846655198592766347086896770989636138585751423<69> * 2622958847...<286> * [1010931938...<851>] * [8354548275...<2647>] (14.23%)
10^4078+1 = 1000000000...<4079> = 101 * 24469 * 25866600911881<14> * [1564310796...<4059>] (0.49%)
10^4079+1 = 1000000000...<4080> = 11 * 29319853 * 66727097725543<14> * [4646685620...<4057>] (0.55%)
10^4080+1 = 1000000000...<4081> = 97 * 353 * 449 * 641 * 1409 * 5441 * 69857 * 177601 * 206209 * 1634881 * 9449281 * 18453761 * 24561601 * 58627969 * 3156663361<10> * 66554101249<11> * 947147262401<12> * 75118313082913<14> * 94231159822538495255337526081<29> * 39127329514182768921189838418689<32> * 4444442797021732533861519689020084897<37> * 8274466617334672110426476083265843201<37> * 349954396040122577928041596214187605761<39> * 1786971871341978412769793172635403245447905376001<49> * 315091637261160879997346594408168422516385623286349240690538356681453806401<75> * 32834183607181658456698862190332942753904274373750127864196636481293558631166688587638325415670849<98> * 627810998673389218825263319860513240289438361646700648804034810302457438784160932972184864281054744807682885907521<114> * 1821688856...<435> * [7918917855...<1006>] * [1061220090...<2020>] (25.86%)
10^4081+1 = 1000000000...<4082> = 11^2 * 23 * 463 * 743 * 4093 * 8779 * 24179 * 216877 * 590437 * 909091 * 1509971 * 7444361 * 1057997274797<13> * 6385133303099<13> * 2584863032795023<16> * 4539402627853030477<19> * 4924630160315726207887<22> * 3096825432750653910867529<25> * 29374061102839796677177079236872451361<38> * 157098960626439851618648929549692694031560694047<48> * 9090909090909090909090909090909090909090909090909091<52> * 2548171182130492354464113595833821781588064140986874348075459263402328971040215243200625902015381883224397137647<112> * 1352321123248730090708692723609127157649515933796286170117784807116484662422141966190067516609475956486212837749899759061263<124> * [8732297044...<440>] * [6020585825...<3114>] (12.92%)
10^4082+1 = 1000000000...<4083> = 101 * 521 * 1183781 * 21763689169<11> * 1900381976777332243781<22> * 28415783195151364586816438858689<32> * 266488455430283106331412078955889415011373032402631355734921<60> * 1307496683...<222> * [3920283674...<3728>] (8.68%)
10^4083+1 = 1000000000...<4084> = 7 * 11 * 13 * 8167 * 10889 * 538204729 * 3501412037<10> * 8157101783<10> * 22687849541449<14> * 32794201885052294157546769<26> * [2027837193...<1299>] * [4843566583...<2707>] (1.91%)
10^4084+1 = 1000000000...<4085> = 73 * 137 * 71699896529<11> * 270933099089<12> * 22282327001089<14> * [2310018381...<4045>] (0.97%)
10^4085+1 = 1000000000...<4086> = 11 * 1721 * 4903 * 8171 * 9091 * 196081 * 57009401 * 345228253 * 2182600451<10> * 23360018579<11> * 1812604116731<13> * 121450506296081<15> * 909090909090909091<18> * 723429274163377334363411<24> * 7306116556571817748755241<25> * 251055550965070694188989073481<30> * 18920435284033918144809657490533251<35> * 4996731930447843676185843959746621491531100801<46> * 33781299214344096622678014073990188169665709715070094241770549427870082246252574520661531768110670247373718269979462963849500442241<131> * [2781962538...<734>] * [3124172656...<2962>] (9.55%)
10^4086+1 = 1000000000...<4087> = 101 * 5449 * 9901 * 46309 * 2043001 * 999999000001<12> * 94576614536516509<17> * 2667522520670022476468461<25> * 3802416727162854360879394522289<31> * 5622811333...<417> * [1853549256...<901>] * [1940170944...<2665>] (12.76%)
10^4087+1 = 1000000000...<4088> = 11 * 81131 * 163481 * 4193263 * 117502704973<12> * 11205222530116836855321528257890437575145023592596037161<56> * 909090909090909090909090909090909090909090909090909090909090909091<66> * [1365606052...<3938>] (3.67%)
10^4088+1 = 1000000000...<4089> = 17 * 113 * 572321 * 5882353 * 6523957441<10> * 19010286241<11> * 106290678114209<15> * 73765755896403138401<20> * 119968369144846370226083377<27> * 2931483180150892088295038024449<31> * [5260310009...<566>] * [8595410428...<3396>] (3.09%)
10^4089+1 = 1000000000...<4090> = 7 * 11 * 13 * 59 * 6299 * 8179 * 344887 * 9127213 * 10101561011<11> * 638453709757<12> * 107065876692211<15> * 135080726389891<15> * 4855067598095567<16> * 1585582793237209531<19> * 1160803383934463712259<22> * 154083204930662557781201849<27> * 183524277349074336642460289<27> * 297262705009139006771611927<27> * 1274194732898148471766404179653<31> * 3313107852051073288994404260571<31> * 30073566270559048948142559741512708796590524703892560552659<59> * [1129499838...<1204>] * [1039178389...<2559>] (8.02%)
10^4090+1 = 1000000000...<4091> = 101 * 3541 * 4909 * 16361 * 27961 * 417181 * 2396741 * 34876249 * 2091195610248881<16> * 43398572923881255601<20> * 4829616990104344590241<22> * 2605270211162934136387269445121<31> * 5604859773...<727> * [8240847011...<1612>] * [6769390263...<1627>] (20.81%)
10^4091+1 = 1000000000...<4092> = 11 * 28850879428309054815593321203131133<35> * [3150998954...<4056>] (0.87%)
10^4092+1 = 1000000000...<4093> = 73 * 137 * 617 * 1489 * 2377 * 16369 * 432961 * 700849 * 10958377 * 11110153 * 99990001 * 1030521097<10> * 5419392721<10> * 6796152793<10> * 24387741577<11> * 640543322297<12> * 1220725699657<13> * 27908132670449<14> * 42367299139993<14> * 126197002179733470481<21> * 384705444182230291105649<24> * 283830826522232279893972777<27> * 16205834846012967584927082656402106953<38> * 16584440161215846282167330487128069170776821649169<50> * 23140616853203983900922551785166946660605063239337678349130406077337<68> * 97645954668018846467287180866355758374263120864803042536883990817097<68> * 1194053240550935343606131291791034479414833114386116350011658511441777011841<76> * [1000099999...<1201>] * [8854284008...<2384>] (12.42%)
10^4093+1 = 1000000000...<4094> = 11 * 1378683103680023<16> * [6593907669...<4077>] (0.40%)
10^4094+1 = 1000000000...<4095> = 101 * 1289 * 38449 * 138841 * 6345701 * 39444019649<11> * 18371524594609<14> * 51160869803648809849<20> * 863869165686468332362369<24> * 567614960888093601652355189<27> * 4181003300071669867932658901<28> * 18547092770394661955046893866403953444141877738854819606028843831344546174591125346548473015452312338456023705554686130669604243301021812682716262365263155956618360389<167> * [1608499299...<3785>] (7.57%)
10^4095+1 = 1000000000...<4096> = 7^2 * 11 * 13^2 * 19 * 127 * 131 * 157 * 211 * 241 * 859 * 1171 * 2161 * 2521 * 2689 * 2731 * 6397 * 9091 * 15601 * 24571 * 29611 * 52579 * 102103 * 131041 * 196561 * 216451 * 280099 * 286651 * 459691 * 461917 * 909091 * 925081 * 3762091 * 4147571 * 5274739 * 5528251 * 21705503 * 60034573 * 1058313049<10> * 6097697971<10> * 29970369241<11> * 388847808493<12> * 525326613841<12> * 2475034612051<13> * 8985695684401<13> * 75417940111411<14> * 1081846114760321<16> * 1661378260814161<16> * 46205575684179731<17> * 265212793249617641<18> * 18276168846821336356291<23> * 12784978043570445859284139<26> * 189772422673235585874485732659<30> * 14919407400114262321144007171761<32> * 1275784731048123659634702312820051<34> * 5953395590224596670581957589121611<34> * 2081121974622478917536610465323067241<37> * 46635050852360904199280507869249164331<38> * 8396862596258693901610602298557167100076327481<46> * 5009499553764433156007921686514205741644754894222691<52> * 36096800156828895568286578224818258719817914995401933354161<59> * 50678387411703889101759125785290439894389920385627096501794498837<65> * 63054129911571801941639263405768461425999152026392552531582926655481271974023945336611<86> * 4512103729930413243964733865733316041820936901915809527857742889751595541910708971709035851<91> * 8912569571903773640423787742857701624820835919699625957033503601168338923351027082278688276455237261214743926133405384757726021771250608797<139> * 1466817919595327188231351160432180116180213542961467363285140303495782586558277396794837473411809269073036798832404763045989876001215861751553184924252035281973147552669068625063450431325422201<193> * 116553245675747990053550666471392036998128264996743658407213899807766470097615620385381776017458111596045030580889722035579568124447161618179385677781172869761612071347234707389515207957110906497851<198> * [7609917926...<366>] * [2004998801...<523>] * [1776573840...<1718>] (36.38%)
10^4096+1 = 1000000000...<4097> = 458924033 * 728157653661622273<18> * 50628372428722965086209<23> * [5910712201...<4047>] (1.20%)
10^4097+1 = 1000000000...<4098> = 11 * 103 * 4013 * 11087 * 140263 * 21993833369<11> * 30375132106961<14> * 175043959170677<15> * 166118970220264489<18> * 4220353505909672483199706169<28> * 2065548882433064749302848511798666276437<40> * 10734328616712968433093169061034947601976065423298090207036703<62> * 158715941546670849311391020024189333149081432811742569113700460903741956467151269742335031378183866433849119125209<114> * [4902059204...<3785>] (7.62%)
10^4098+1 = 1000000000...<4099> = 101 * 9901 * 710321 * 2950561 * 123533251069<12> * 81760309771009<14> * [1704831430...<1345>] * [2770974127...<2711>] (1.06%)
10^4099+1 = 1000000000...<4100> = 11 * 33481761758183<14> * [2715182419...<4085>] (0.36%)
10^4100+1 = 1000000000...<4101> = 73 * 137 * 401 * 1201 * 1601 * 1676321 * 121553521 * 5964848081<10> * 5073514674441841<16> * 89886355570446566401<20> * 1020783386354597532481<22> * 36637591407529194237097<23> * 166721483805082566538949201<27> * 29538470069644094847727632948024527616881<41> * 129694419029057750551385771184564274499075700947656757821537291527196801<72> * 2245236606248397162554620353530247131809555439174332456262048578539955402631665831489925370072038825037489223972536291929859656473<130> * [6537518273...<563>] * [6672900679...<3154>] (9.35%)