10^4301+1 = 1000000000...<4302> = 11^2 * 23^2 * 47 * 103 * 139 * 2531 * 4013 * 4093 * 8779 * 192611 * 2955961 * 6866927 * 2140571729<10> * 21993833369<11> * 37633218241<11> * 202494039089<12> * 1095558685453<13> * 1284680342573<13> * 9101279023169<13> * 549797184491917<15> * 6315203673292075607<19> * 125797399492676917721<21> * 134411715692212607377411<24> * 473608692432035450677211738101499095303<39> * 55957395872359820769658435528889482277826574998014018514928782197341726428854387236670658714503098749571<104> * 518161682105441937939808904314725384155713341883811066168098350771698037823583202138442087113080605799348512678760456904991628242013240243722358296452409076794591284845951908904139995059681<189> * 1071693871...<275> * [4097881781...<3497>] (18.70%)
10^4302+1 = 1000000000...<4303> = 101 * 9901 * 208409 * 999999000001<12> * 971376562548289<15> * 5903990588893921<16> * 2491653754605959598248971533744219901<37> * 10797227871160341111429503179257533464512022361<47> * [1765884106...<389>] * [1761114782...<922>] * [1000000999...<2857>] (3.17%)
10^4303+1 = 1000000000...<4304> = 11 * 859 * 38329801 * 1058313049<10> * 5943603127859<13> * 510587492552436211823<21> * 1932782378208168486700373<25> * 66287629848519079879793946893<29> * 573408944084407647616987278212508727<36> * 37597427372633848169498753071057309208493613<44> * 1444717414116629325014741879647282362357909367956352378595000668188348845124645807623208351032316317811617655604213036600335625808152140581460631346308342601069504206134844531691<178> * [2154381014...<3940>] (8.45%)
10^4304+1 = 1000000000...<4305> = 353 * 449 * 641 * 1409 * 69857 * [9999999999...<4288>] (0.37%)
10^4305+1 = 1000000000...<4306> = 7^2 * 11 * 13 * 127 * 211 * 241 * 739 * 2161 * 2689 * 3691 * 9091 * 148339 * 459691 * 909091 * 4147571 * 16344241 * 16419517 * 22873327 * 1309140169<10> * 29970369241<11> * 5317679142481<13> * 19214818177409<14> * 1661378260814161<16> * 3479575598798881<16> * 265212793249617641<18> * 2670502781396266997<19> * 3404193829806058997303<22> * 18276168846821336356291<23> * 2227500794590370844147583<25> * 436026711667335044426416921<27> * 63315126142382340775081879883434386905247847<44> * 1102678522581138741425727962459101300689046291<46> * 1109649393276867840472199951726880949173205522051<49> * 5004844858427955006137433437029141894459256983171<49> * 1843455308146833369419577117401177102515401880306453871619994561<64> * 61051796035522969271171274876554178504544683763248923853725596423<65> * 25227559933282973049929756675369873687524422119109873612963516263168625757367193407132891393542516779351543564997326723299457284056291<134> * 125761437902016505677234724081955995672315729956135907016809707020411705489302810599648062430084467242774758397202086029812476912145657137081<141> * 5724747847...<227> * [2154768431...<396>] * [2612675210...<945>] * [2195652475...<1872>] (25.41%)
10^4306+1 = 1000000000...<4307> = 101 * 226700608661<12> * [4367429870...<4293>] (0.31%)
10^4307+1 = 1000000000...<4308> = 11 * 293 * 1889 * 637375703 * 3037106893<10> * 1090805842068098677837<22> * 10826684964539959837294043117<29> * 4411922770996074109644535362851087<34> * 286578888976194997999922592330908602103011<42> * [5682469373...<4158>] (3.47%)
10^4308+1 = 1000000000...<4309> = 73 * 137 * 11489 * 172321 * 183809 * 11892953 * 99990001 * 3178907405521<13> * [3981235504...<1416>] * [1825691287...<2847>] (1.07%)
10^4309+1 = 1000000000...<4310> = 11 * 557 * 2503 * 909090909090909090909090909091<30> * 652065570931334169846518762110895357104035953330623783530923329412897765703841859492780362601926814638167836591846272150911969126521<132> * [1099999999...<4141>] (3.92%)
10^4310+1 = 1000000000...<4311> = 101 * 3541 * 27961 * 12102481 * 78924721 * 4722658277801<13> * 50709700557334097021<20> * 50921940372153308337883310816081<32> * [1952484433...<841>] * [5545862901...<1689>] * [7928176566...<1692>] (2.07%)
10^4311+1 = 1000000000...<4312> = 7 * 11 * 13 * 19 * 8623 * 40237 * 52579 * 2952557 * 10303291 * 11898361 * 35054179 * 531896929 * 1180564477<10> * 5859735373<10> * 50217054247<11> * 1899591271579<13> * 5688359348583444455165351401<28> * 14567368563720005113024127497117<32> * [7573485234...<446>] * [2655394775...<940>] * [3883427612...<2771>] (3.60%)
10^4312+1 = 1000000000...<4313> = 17 * 113 * 3697 * 54881 * 5882353 * 10100113 * 30357713 * 51255635489677438513<20> * 73765755896403138401<20> * 403539336813078648113<21> * 2348605968070081355329<22> * 119968369144846370226083377<27> * 69107936491313674237030826849<29> * 5649333362757164788488040397332687608183771313<46> * 9900879227786858424257223656804730798555422102713108259184822982673560177<73> * [7992725630...<265>] * [1289298797...<441>] * [8307076643...<3319>] (6.68%)
10^4313+1 = 1000000000...<4314> = 11 * 36346333 * 3861904074787001<16> * 909090909090909091<18> * 6476572499...<203> * [1099999999...<4069>] (5.68%)
10^4314+1 = 1000000000...<4315> = 101 * 8629 * 9901 * 170296589 * [6737708348...<1424>] * [1009998990...<2873>] (0.42%)
10^4315+1 = 1000000000...<4316> = 11 * 9091 * 198491 * 207121 * 450487 * 33993571 * 1584705713225403483147160166143<31> * [1273433962...<827>] * [7870939948...<3430>] (1.37%)
10^4316+1 = 1000000000...<4317> = 73 * 137 * 1993 * 1580801 * 160322137 * 1627839311921131673455277189737<31> * 632527440202150745090622412245443923049201<42> * [3082036244...<295>] * [6238065551...<3928>] (2.17%)
10^4317+1 = 1000000000...<4318> = 7 * 11 * 13 * 120877 * 690721 * 22141854291195452217499201<26> * 75673683062427966236317236967<29> * 6652742443560007068799568102809<31> * [1805767085...<1379>] * [5944266695...<2840>] (2.29%)
10^4318+1 = 1000000000...<4319> = 101 * 509 * 3049 * 7621 * 28559389 * 1491383821<10> * 1532095489<10> * 47363086944961<14> * 621385610460229<15> * 2324557465671829<16> * 376217070797284235689<21> * 2844397351...<214> * [1752253927...<4003>] (7.31%)
10^4319+1 = 1000000000...<4320> = 11 * 23447 * 515813 * 909091 * 57969619 * 1503320851747641663675331<25> * 45135180224672561394876945851667198023<38> * [1665377017...<569>] * [1262235860...<3665>] (2.01%)
10^4320+1 = 1000000000...<4321> = 193 * 577 * 769 * 19841 * 976193 * 6187457 * 59546881 * 1164746881<10> * 317752351489<12> * 988764203521<12> * 834427406578561<15> * 902671810006533121<18> * 1253224535459902849<19> * 6123088911854233729<19> * 325134829391007224091957121<27> * 53763491189967221358575546107279034709697<41> * 269540431689328877571039011529688228976641<42> * 25847314845878688998082949169327534633072641<44> * 543185295592672549499302394643640275918374120256093130759988042950370991361<75> * 2642485680977517391378418105893565400120906568749114540486543532701285392233930427735879112610561<97> * 99999999999999999999999999999999000000000000000000000000000000009999999999999999999999999999999900000000000000000000000000000001<128> * 5454254688947363287683007582959957955687742850180556063819779071987764320758722919012384757528711422022983327967821005633305513155176634315060424546674322713747588377841693274817<178> * [1633162631...<558>] * [4968477362...<695>] * [1000000000...<2305>] (17.69%)
10^4321+1 = 1000000000...<4322> = 11 * 59 * 2087 * 51853 * 1906105447<10> * 9569438330387745929023<22> * 9615683031450065714899<22> * 154083204930662557781201849<27> * 73573502807427343834002456451<29> * 101599598603089933081005893438131<33> * 165459609176797865866134365329792270635207840943<48> * 2737869430252705432917439814481839640694075521336313521691938014929169431049<76> * [1555865323...<4048>] (6.34%)
10^4322+1 = 1000000000...<4323> = 101 * 405639937342891653901<21> * [2440832173...<4300>] (0.52%)
10^4323+1 = 1000000000...<4324> = 7 * 11^2 * 13 * 23 * 263 * 4093 * 8647 * 8779 * 14411 * 3585209 * 78447517 * 599144041 * 1397382241<10> * 12075418609<11> * 183411838171<12> * 306662501757259<15> * 80721317359181731<17> * 525786373041914526306757<24> * 125280707777993740466868133<27> * 112506283680098168752627601991569<33> * 1363608083180796048411168783196497071688492468691<49> * 22470645744200057762885095342697894721605325430609487291715500041029950763944163993319007373686738769124162721892380653<119> * 62339577231074552025417800627219902399609765276523884060897664718644575416179222125766565878683978340565955467874226181636354165574411<134> * [1407335671...<1254>] * [1303730099...<2580>] (11.35%)
10^4324+1 = 1000000000...<4325> = 73 * 137 * 2393 * 70313 * 79337 * 250793 * 485041 * 118710721 * 6578404633<10> * 75249643241249774429441<23> * 169905327561162104198557246291921<33> * 4178437150016715837818641871709193476807772628503969494400330129962348520684914375257<85> * 27851538931791182813585932285490596820623900747164894668499167046712090201879423948069199442816537475115348268729799177<119> * [5299361807...<4020>] (7.04%)
10^4325+1 = 1000000000...<4326> = 11 * 251 * 5051 * 9091 * 9689 * 16864733 * 16002307438891<14> * 78875943472201<14> * 771499676068505184897451<24> * 927317454109739561766501011<27> * 55635102055543836835465457049148501469803488052399095459738250346232835862545261814302848982434784577390375138359139691388144380289619426750242614561569128075543<161> * [7412714918...<648>] * [1296189785...<3417>] (6.04%)
10^4326+1 = 1000000000...<4327> = 29 * 101 * 281 * 9901 * 43261 * 226549 * 467209 * 764261 * 801341 * 121499449 * 346973629 * 5439760205641<13> * 29286597879221<14> * 17001340047779821<17> * 4458192223320340849<19> * 33670587927455442579575167786879669<35> * 95000575486937988681435170477136054984821<41> * 13189107332310223355029963340219071854700685799054091470161603102678459019911637791726472505162050327675229109<110> * [3147469726...<371>] * [3054802387...<1214>] * [2119180067...<2443>] (6.93%)
10^4327+1 = 1000000000...<4328> = 11 * 411222259397597<15> * [2210704523...<4312>] (0.36%)
10^4328+1 = 1000000000...<4329> = 17 * 4760801 * 5882353 * 44559019217<11> * 865588623131698184950812116593<30> * [5445939400...<4273>] (1.28%)
10^4329+1 = 1000000000...<4330> = 7 * 11 * 13^2 * 19 * 157 * 223 * 859 * 2887 * 4663 * 6397 * 7253 * 52579 * 158731 * 216451 * 461917 * 865801 * 60034573 * 1058313049<10> * 1961853739<10> * 78426117823<11> * 388847808493<12> * 902659997773<12> * 126294442654927<15> * 422650073734453<15> * 1690016281413487<16> * 296557347313446299<18> * 5406655992229067083561<22> * 7116181512528105949933<22> * 62562101977662753776437<23> * 21606064498691505246200058094681<32> * 37344700192938647404842813656089<32> * 48911689110891303706174193415115219<35> * 36096800156828895568286578224818258719817914995401933354161<59> * 2490872691908137575166466088291355643827701079891978578274835994080775464595974553558911862020407649324804027436087292675616017146240063168618749945139990951997<160> * [8299292652...<406>] * [3969394594...<779>] * [1153845976...<2587>] (12.90%)
10^4330+1 = 1000000000...<4331> = 101 * 3541 * 17321 * 25981 * 27961 * 58889 * 4070201 * 5291261 * 43871561 * 1927014541<10> * 14618209901<11> * 235887852121<12> * 8246900052197820521<19> * [2599278814...<825>] * [1330156601...<1705>] * [2107888981...<1708>] (2.17%)
10^4331+1 = 1000000000...<4332> = 11 * 8663 * 81131 * 290249 * 289873296505973447<18> * 141669866571745562549077<24> * 11205222530116836855321528257890437575145023592596037161<56> * 31321069464181068355415209323405389541706979493156189716729115659<65> * [3091994241...<4156>] (4.05%)
10^4332+1 = 1000000000...<4333> = 73 * 137 * 457 * 27817 * 1403417 * 72881569 * 99990001 * 376102873 * 36120612721<11> * 5240808656722481737<19> * 13591271120229398317886003161009<32> * 297478330786365628414805305290302483555043017<45> * 194720331913760546074906161375930267923071695863299678749187377754543757962841785054377649<90> * [9999999999...<1368>] * [1372089011...<2729>] (5.44%)
10^4333+1 = 1000000000...<4334> = 11 * 13619 * 17333 * 909091 * 24152143 * 573248334583<12> * 634201866251<12> * 592119999726203887006567<24> * [1777562374...<579>] * [4583744814...<3685>] (1.62%)
10^4334+1 = 1000000000...<4335> = 89 * 101 * 8669 * 27581 * 1386881 * 1052788969<10> * 1056689261<10> * 1179453305210211114939901<25> * 39183683903547299202471125940449908897423309<44> * 95857172574244109092139928579854506165297073472804809<53> * 9557377469...<291> * [7122499388...<3886>] (10.34%)
10^4335+1 = 1000000000...<4336> = 7 * 11 * 13 * 103 * 211 * 241 * 2161 * 4013 * 9091 * 87211 * 102001 * 17088571 * 511438099 * 787223761 * 21993833369<11> * 291078844423<12> * 5516286288241<13> * 27608334534637<14> * 587063793048979091<18> * 1972638068686670089<19> * 377526955309799110357<21> * 48447958585300048257961<23> * 3434599112338341945743041<25> * 4270914986978327797975291<25> * 6794665217550790190548807<25> * 42323992639419349049079264521<29> * 22309443196006787833758691239331<32> * 216219010761333454086082249502131<33> * 1363267285346876343226104657933729291571<40> * 160220794821014452066741918303580917664386555934641<51> * 175137725562337579790651749196120587807233668420015131<54> * 1136558791710654899629429576107642694020211020408036719308522808314581197380973<79> * 6923777301528230940787780295400313221683793149948747168301754689555692396138969010514764869002307736762791042459773879699664648964996271733<139> * [5771480751...<424>] * 2623043673...<1050> * [2064070456...<2154>] (40.55%)
10^4336+1 = 1000000000...<4337> = 353 * 449 * 641 * 1409 * 26017 * 69857 * 9820116546045473<16> * [3914047942...<4300>] (0.84%)
10^4337+1 = 1000000000...<4338> = 11 * 444561143349139<15> * [2044917606...<4322>] (0.36%)
10^4338+1 = 1000000000...<4339> = 101 * 9901 * 83869 * 253686241 * 265555009 * 61896232441<11> * 999999000001<12> * 70578857936809<14> * [7182215783...<456>] * [3981291953...<952>] * [1416856306...<2867>] (1.48%)
10^4339+1 = 1000000000...<4340> = 11 * 144316078534379<15> * 6355522135287976197010517<25> * [9911545062...<4299>] (0.92%)
10^4340+1 = 1000000000...<4341> = 73 * 137 * 1489 * 7841 * 12401 * 31249 * 851761 * 1676321 * 50755681 * 240349201 * 5964848081<10> * 8566123361<10> * 640543322297<12> * 830859185201<12> * 27908132670449<14> * 127522001020150503761<21> * 384705444182230291105649<24> * 97645954668018846467287180866355758374263120864803042536883990817097<68> * 1174155661036370531158387153086358732085761158354280249987966107746175275693416345665039841<91> * [2232494053...<447>] * [3200422413...<716>] * [4160196937...<2872>] (7.06%)
10^4341+1 = 1000000000...<4342> = 7 * 11 * 13 * 7813801 * 1311843581195246419<19> * 27578007521378077783<20> * 67433239007516266361<20> * 13151548172068925304859<23> * [1000027661...<1380>] * [3984700845...<2873>] (2.06%)
10^4342+1 = 1000000000...<4343> = 101 * 521 * 476103356904941<15> * 1900381976777332243781<22> * 8155367430991261899414881<25> * 411603787218349354280868589<27> * 1387401303965667453093373669<28> * 198607499132490748242152175454768755769289<42> * 473422134866090530705347772603209509527842120964263087241<57> * 256791351938897604127766524249910803570004341949762240760779741<63> * 15082430268839895518120138007695651193149092773167884646166709770422465462163749312903859494420307404069<104> * [1238448185...<3960>] (8.82%)
10^4343+1 = 1000000000...<4344> = 11 * 607 * 809 * 1213 * 57009401 * 1327067281<10> * 2182600451<10> * 7306116556571817748755241<25> * 11500490394117824585468796003575163076836624586334794818271756072956027758946488969<83> * [1099999999...<4201>] (3.29%)
10^4344+1 = 1000000000...<4345> = 17 * 2897 * 5882353 * 48341624801<11> * 172577741915057<15> * 9999999900000001<16> * 318590214241530097<18> * 124902811467234874428802417<27> * 3741284323572778169733000409441<31> * 3143846598630108332397250124781409<34> * 46186243200327796436048713490806993<35> * 5087286777331456707429506704063523681<37> * [4706801710...<1310>] * 7993445374...<2803> (69.85%)
10^4345+1 = 1000000000...<4346> = 11^2 * 23 * 331 * 1423 * 4093 * 5171 * 8779 * 9091 * 351077 * 521401 * 594397 * 1835329 * 9615060929<10> * 13556339171<11> * 20163494891<11> * 468789698939<12> * 18043474417651<14> * 6295632499623851<16> * 318727841165674579776721<24> * 4539787279569136988691351491<28> * 24966203549341539495819194854679625225811<41> * 36135553580039597739744803188558136917651907171<47> * 66443174541490579097997510158021076958392938976011506949065646573<65> * 42660530392229903351072436102344244250617560023502875336329183331096805000157530395542396500243031769146588091361465456452731316179986315200680926557940585563325081869311166989363491<182> * [1175032424...<746>] * [3716627735...<3097>] (11.58%)
10^4346+1 = 1000000000...<4347> = 101 * 1061 * 68389 * 5051749 * 3504171109<10> * 51649606512570029129941<23> * 245391150214875249502685807421982149521<39> * 75277048352808729626679875852901448034540173569840168229<56> * 1447745997018511893740076606031686237538345362413531560645573104006506749609<76> * [5580447823...<4128>] (5.02%)
10^4347+1 = 1000000000...<4348> = 7^2 * 11 * 13 * 19 * 47 * 127 * 139 * 379 * 967 * 2531 * 2689 * 20287 * 31051 * 52579 * 60859 * 459691 * 909091 * 5274739 * 70541929 * 1569936761<10> * 14175966169<11> * 37916801893<11> * 74378092807<11> * 143574021480139<15> * 201548060483167<15> * 549797184491917<15> * 807866280880597<15> * 143409436964525899<18> * 8642670625016390971<19> * 426231293073408134173<21> * 1203881882727712699967<22> * 831759677425747570837717<24> * 2414667616251762189340783<25> * 24649445347649059192745899<26> * 223887624278002812670730041<27> * 18563440283324889687956451007<29> * 23391028206417273637358380573<29> * 189772422673235585874485732659<30> * 7775058388319250595762800404689<31> * 117680633072620952134930832292859<33> * 5342512091349500920639852868215477<34> * 63060936944326674212591995662102125143<38> * 3309383964775818489317002654646529291847<40> * 1880709802856952955373413305337158032187793270681<49> * 4841193139246416682912992055944726358563520908223<49> * 8396109478...<226> * 2762606195...<347> * [2343800223...<772>] * [4893810546...<2302>] (29.31%)
10^4348+1 = 1000000000...<4349> = 73 * 137 * 9999000099...<4344> (100.00%)
10^4349+1 = 1000000000...<4350> = 11 * 8699 * 21188329 * 58518195649<11> * 17403586346212757<17> * [4842967976...<4310>] (0.90%)
10^4350+1 = 1000000000...<4351> = 61 * 101 * 349 * 601 * 1741 * 3541 * 9901 * 27961 * 38861 * 52201 * 60101 * 118901 * 139201 * 261301 * 591601 * 618049 * 997369 * 2392501 * 3488701 * 3903901 * 4188901 * 7019801 * 9161101 * 28396801 * 39526741 * 44293441 * 46659841 * 169745701 * 168290119201<12> * 14103673319201<14> * 400450755477401<15> * 1680588011350901<16> * 15565833747318241<17> * 2102595954900526861<19> * 25074091038628125301<20> * 122678497066960463501<21> * 297539144610727899181<21> * 1767955366388381478541<22> * 157002934023127338801841<24> * 37949859494080304274482401<26> * 2122059937446676383606257085781<31> * 4477350074169470752905544969081<31> * 14087942679857610940613213182901<32> * 38654658795718156456729958859629701<35> * 925473240150495502771483432977308389<36> * 11811806375201836408679635736258669583187541<44> * 2004594328563924403139229874961691116225480361118012967681424919657782526297077161<82> * 2022907403453455435045739409943184658625113693600363497128797657397794468271632034457525101<91> * 38500497070688096027556817882565728990416892548263819672284096593431517949011701136219584563960572421<101> * 3416328483006512256320335979072423448945322454006830297255949627404017992115810552611056496561408407441<103> * 26636991712927480521302468238210196842574038046073718232654640482565934665811782665421629637128815459489120609513028739841141750121254557418299333497201<152> * [9668803101...<527>] * [2121330493...<541>] * [1264317985...<1078>] * [6495258808...<1105>] (25.31%)
10^4351+1 = 1000000000...<4352> = 11 * 909090909090909091<18> * 2317091604522004723965449<25> * 3399416765550765170055851<25> * 13698916120719106774003876717<29> * 456434526713811364709322618761<30> * 22122368173743271094350225612207534262957<41> * 13270807703600518273110858480695033043595534787235597140531<59> * 1336395914067475494619360928220680511145198857935330550248985354190742963795052553003443246310484435548877<106> * [5175157573...<4022>] (7.57%)
10^4352+1 = 1000000000...<4353> = 10753 * 2350081 * 8253953 * 9524994049<10> * 73171503617<11> * 1616596633...<225> * [4255172481...<4090>] (6.03%)
10^4353+1 = 1000000000...<4354> = 7 * 11 * 13 * 2903 * 434525167 * 79920825893842651<17> * 53434536283464632758117<23> * [3131556696...<1447>] * [5921908114...<2852>] (1.26%)
10^4354+1 = 1000000000...<4355> = 29 * 101 * 281 * 2185709 * 121499449 * 37440786181<11> * 2710050937527881350041536549<28> * 20270411022697016392828178929<29> * [4884454532...<592>] * [4554142544...<3676>] (1.99%)
10^4355+1 = 1000000000...<4356> = 11 * 131 * 859 * 2011 * 9091 * 3274961 * 248807851 * 1058313049<10> * 7261216121<10> * 1169982318623<13> * 8396862596258693901610602298557167100076327481<46> * 909090909090909090909090909090909090909090909090909090909090909091<66> * 3027630197...<243> * 9401851485...<780> * [2775910919...<3162>] (27.41%)
10^4356+1 = 1000000000...<4357> = 73 * 137 * 617 * 2377 * 3169 * 8713 * 16369 * 98641 * 174241 * 432961 * 761113 * 99990001 * 6796152793<10> * 24387741577<11> * 99677548081<11> * 440718109921<12> * 45252944075593<14> * 3199044596370769<16> * 17295772534876211113<20> * 126197002179733470481<21> * 14923400929331693063761<23> * 283830826522232279893972777<27> * 4987445373502665124237014313<28> * 16205834846012967584927082656402106953<38> * 7408727338313716781446937691661250885891761<43> * 262533769339473652474903068060921237392956780959193<51> * 246288943607463575049631057704872789315648893038409344335438892115177<69> * 3286441734725167632640591449151190304019453738946987847768004461574472857<73> * [3809033795...<390>] * [1000000000...<881>] * [5639327547...<2576>] (11.72%)
10^4357+1 = 1000000000...<4358> = 11 * 148139 * 79932798739<11> * 138297164389640357<18> * 17978982600018216677<20> * 202697964805187412520237776677<30> * [1523298838...<4275>] (1.90%)
10^4358+1 = 1000000000...<4359> = 101 * 1289969 * 133075889 * 1477113202786819352869<22> * [3904686729...<4321>] (0.86%)
10^4359+1 = 1000000000...<4360> = 7 * 11 * 13 * 5813 * 148207 * 30356077 * 110140518139<12> * 424256237949953276059<21> * [1055208486...<1444>] * [7747072318...<2865>] (1.17%)
10^4360+1 = 1000000000...<4361> = 17 * 5070721 * 5882353 * 406893948001<12> * 3831796138952006881<19> * 19721061166646717498359681<26> * 43922242252020060474812593<26> * 5941732520...<820> * [2457642869...<3445>] (21.00%)
10^4361+1 = 1000000000...<4362> = 11 * 179 * 197 * 3739 * 100927 * 909091 * 4688699 * 12147237304901893<17> * 5076141624365532994918781726395939035533<40> * 4180967272673252032291190917188955510245874180001164839931077197586653<70> * [6216951209...<513>] * [1000000099...<3697>] (3.49%)
10^4362+1 = 1000000000...<4363> = 101 * 2909 * 9901 * 229484821 * 802889618550909581<18> * 24474149875167364484471358364249<32> * [1732093959...<1400>] * [4401158148...<2896>] (1.54%)
10^4363+1 = 1000000000...<4364> = 11 * 18461825077<11> * 166593290670819162251<21> * [2955800894...<4332>] (0.72%)
10^4364+1 = 1000000000...<4365> = 73 * 137 * 87281 * 1710689 * [6696776369...<4349>] (0.35%)
10^4365+1 = 1000000000...<4366> = 7 * 11 * 13 * 19 * 211 * 241 * 971 * 2161 * 8731 * 9091 * 10477 * 29611 * 43651 * 52579 * 236681 * 3762091 * 4097281 * 249581971 * 5566733971<10> * 82489592491<11> * 110023954291<12> * 1191471327127<13> * 2519775841411<13> * 8985695684401<13> * 321550681707243091<18> * 25285741094687300184091<23> * 102527361354613106010527<24> * 255599725304866566400921<24> * 1050177580661792271099979<25> * 28817173199926034910009721<26> * 535845096217228836681072091<27> * 323338434891034089173475790125293<33> * 116089721943926115626614365020206939<36> * 27422699366054621683295623079471066588881<41> * 120993298365129876163173210302328063293143<42> * 945810328223866785885905285429505642199347228900195881<54> * 9082330292251962304688193151167683450110136179543368546373275157823981917087560492592244850476097147293654306654509712541945987920778472370936173919077<151> * [1102051878...<302>] * [1115656535...<464>] * [1084192588...<674>] * [1425736572...<2275>] (14.98%)
10^4366+1 = 1000000000...<4367> = 101 * 149 * 3109 * 111149 * 430148941 * 708840373781<12> * 669031686661427842829<21> * 40548140514062774758071840361<29> * 230175856669373992253976277974612031182496625023886807386072581333871027940087154579555293851089822885094561<108> * [1009999999...<4177>] (4.35%)
10^4367+1 = 1000000000...<4368> = 11^2 * 23 * 4093 * 8779 * 131011 * 15149521 * 16790376230301757<17> * 4623381423183970412975545037921<31> * 3573945994...<373> * [1816039121...<3925>] (10.14%)
10^4368+1 = 1000000000...<4369> = 97 * 353 * 449 * 641 * 673 * 1409 * 8737 * 69857 * 206209 * 1454209 * 9396577 * 19725473 * 57653857 * 2149842241<10> * 4694971009<10> * 40336502753<11> * 43735845217<11> * 66554101249<11> * 75118313082913<14> * 754651871841089<15> * 4155351649525441<16> * 49190086416352961<17> * 77700458351603754241<20> * 465149401935712615628055361<27> * 20275219423179517169965224971521<32> * 52866958603164277225413781258884193<35> * 217860610452031121598489279950204653537<39> * 155944009296214054100626916003794407157304353<45> * 99866972524271704433794047804855032844718975174004188801858970187176731955358724384510844782429115617<101> * 33857126287532892390194544682750180705056727269149496594755320455272870740814407021435721731880166393643173336787745221520888878951616858121601<143> * [8890597240...<351>] * [1144557628...<1149>] * [8798508981...<2260>] (13.94%)
10^4369+1 = 1000000000...<4370> = 11 * 103 * 4013 * 17477 * 30841 * 210227543 * 7625539007<10> * 21993833369<11> * 36026104538131<14> * 41236044512156603777979544195943152517271779<44> * 6621650829759394867011952029659651154933062041670057842400167<61> * 1079532167431061415165932592055901092454451592309148326151617900514215922407756340218895879841860600138403440141998167181967545309634241890872640207<148> * [1089803836...<4061>] (7.07%)
10^4370+1 = 1000000000...<4371> = 101 * 461 * 761 * 1289 * 1901 * 3041 * 3541 * 8741 * 27961 * 74861 * 509681 * 8259301 * 15863101 * 149856041 * 417332341 * 1440247121<10> * 21631222069<11> * 93744372901<11> * 4107757827661<13> * 18371524594609<14> * 722817036322379041<18> * 1369778187490592461<19> * 8225357978845859081<19> * 439120676164610394481<21> * 4181003300071669867932658901<28> * 354969305477178480614478251861<30> * 780548018657747948342675331841<30> * 8177669991059740173635806566781<31> * 224194986265081286385797800275781<33> * 458192181720740635773018630313952996833801<42> * 20547226778782170120539430083689730394727567536361<50> * 870647723077443424730240122490394960350773424147330153671641266669332491181<75> * [4799880529...<735>] * [1205770501...<1540>] * [1762644014...<1578>] (11.88%)
10^4371+1 = 1000000000...<4372> = 7 * 11 * 13 * 373 * 6299 * 44641 * 344887 * 9127213 * 3590254957<10> * 7324375425001<13> * 715328541721481<15> * 4855067598095567<16> * 575959441688891893<18> * 1160803383934463712259<22> * 10918819300926930502446299<26> * 40423608201848849092254329<26> * 297262705009139006771611927<27> * 909090909090909090909090909091<30> * 18381907262281244633158190677786966663091011<44> * 30073566270559048948142559741512708796590524703892560552659<59> * [6049012397...<1297>] * [1242426756...<2748>] (7.48%)
10^4372+1 = 1000000000...<4373> = 73 * 137 * 1941169 * 14453833 * 703783257011456142875801113<27> * [5063738411...<4328>] (1.01%)
10^4373+1 = 1000000000...<4374> = 11 * 27204187390376287<17> * [3341731535...<4356>] (0.40%)
10^4374+1 = 1000000000...<4375> = 101 * 109 * 4861 * 9901 * 153469 * 408241 * 2925721 * 2963341261<10> * 999999000001<12> * 22479830874469<14> * 40798705910329<14> * 434082721482552113452729<24> * 729719975272091111399590489<27> * 33729808629777514947680458609<29> * 55694301076812733545145841929<29> * 59779577156334533866654838281<29> * 168199595687205968107363838899561<33> * 4195814654151937120330327975639201<34> * 341796090604674881849636380229010216626944264336893367139245334739710314141368913850637159182300704681<102> * 4108154882...<248> * [5985576715...<858>] * [1795515843...<2888>] (14.38%)
10^4375+1 = 1000000000...<4376> = 11 * 251 * 5051 * 7001 * 9091 * 21001 * 160001 * 162251 * 909091 * 4147571 * 19320001 * 2672346251<10> * 3612546001<10> * 10893295001<11> * 299547376801<12> * 50779597795001<14> * 78875943472201<14> * 128372635774581251<18> * 265212793249617641<18> * 269409792871731627664586194662281233853701011108906726055753272681082282441709251<81> * 924113758530847383764787530400912659976463549693743820952869672176334445090649182638712486115217201<99> * [9587725422...<464>] * [1428367376...<597>] * [1936868460...<2984>] (7.58%)
10^4376+1 = 1000000000...<4377> = 17 * 8753 * 5882353 * 2427422346353<13> * 6154854161017661728588177<25> * [7646803930...<4327>] (1.12%)
10^4377+1 = 1000000000...<4378> = 7 * 11 * 13 * 26263 * 31890823 * 794157316664184535777113799277<30> * [4358694592...<1424>] * [3445822326...<2909>] (1.02%)
10^4378+1 = 1000000000...<4379> = 89 * 101 * 1052788969<10> * 1056689261<10> * 65075198729509<14> * 581140178513809<15> * 25318162873760593102299508147845874260505144789<47> * [6729232509...<335>] * [1552050581...<3947>] (2.22%)
10^4379+1 = 1000000000...<4380> = 11 * 59 * 94560127 * 181288487 * 153653579173<12> * 12331942624071394811<20> * 83611301120545643796248647<26> * 154083204930662557781201849<27> * 47117519089873575035938270583<29> * 2646756758131654397378192081701748003041997<43> * 999882306178377345161889846655198592766347086896770989636138585751423<69> * [2952821819...<4138>] (5.52%)
10^4380+1 = 1000000000...<4381> = 73^2 * 137 * 1753 * 468953 * 1676321 * 99990001 * 5964848081<10> * 201503652001<12> * 162393769017609303761<21> * 560241285391602728795407681<27> * 1151361049176683268438668401<28> * 100009999999899989999000000010001<33> * 972234562027718778906635682891369717286635199884272325005809<60> * 14999165155859618821508723922939117714174412730158634078875737296006185810419004608104019977<92> * 7035824104334249358887740710881970075945291109469322153083026920245824611188573249681116336645956647224241<106> * 1000099999...<577> * [1000099999...<1153>] * [7692845463...<2239>] (22.58%)
10^4381+1 = 1000000000...<4382> = 11 * 859 * 121321 * 1058313049<10> * 2251702571<10> * 55027074590990508852961<23> * 71489171229856447321502908314697600957469967193571<50> * 1687858617956114857563779160203327248258725852773131<52> * 621229558894454367540891695929541003114293128504188334503<57> * 102628202728030891704336946143527067063502899291229635778464234241801<69> * 7861197759376969310871284581062232753724157295719665271243468634881392447<73> * [1099999999...<4033>] (7.97%)
10^4382+1 = 1000000000...<4383> = 29 * 101 * 281 * 87641 * 121499449 * 1171417416329<13> * 4515114965644660959626141751170021<34> * [8452145205...<612>] * [2552379433...<3706>] (1.48%)
10^4383+1 = 1000000000...<4384> = 7 * 11 * 13 * 19 * 52579 * 1842809 * 4865131 * 25140889 * 60809743 * 60932105945317<14> * 181117500908540983<18> * 46031771059124302914419<23> * [1071690314...<458>] * [8157364214...<933>] * [1642812083...<2903>] (2.07%)
10^4384+1 = 1000000000...<4385> = 19841 * 976193 * 6187457 * 460075898881<12> * 834427406578561<15> * 37217610774266946974017<23> * [5840123444...<4318>] (1.51%)
10^4385+1 = 1000000000...<4386> = 11 * 9091 * 245561 * 40718146431331<14> * 988528142618675731<18> * [9090909090...<876>] * [1112889157...<3468>] (0.96%)
10^4386+1 = 1000000000...<4387> = 101 * 409 * 3061 * 9901 * 338669 * 5969449 * 28559389 * 134703241 * 1491383821<10> * 225974065503889<15> * 2324557465671829<16> * 420570647974156601149<21> * 8045181580990560114237163201<28> * 44398000479007997569751764249<29> * 13441721102334727627682496494535257828666281<44> * 202026760686388880964731015757788959143121139209<48> * 46229724820742226005075125617528225785246749164469<50> * 2923500556298303355222653948542706598448925085853709961673200056984872843366529<79> * [2401499022...<1324>] * [9901000000...<2688>] (8.54%)
10^4387+1 = 1000000000...<4388> = 11 * 1499 * 28463 * 74687 * 392263 * 795653 * 3992171 * 13070969861216173<17> * 2670502781396266997<19> * 3404193829806058997303<22> * 9140689231828972552925524522037823147045937571379494322686226282352288670801988451<82> * [2108024899...<4218>] (3.87%)
10^4388+1 = 1000000000...<4389> = 73 * 137 * 1859288337312963521<19> * [5377864153...<4366>] (0.51%)
10^4389+1 = 1000000000...<4390> = 7^2 * 11^2 * 13 * 23 * 127 * 419 * 463 * 2689 * 2927 * 4093 * 8317 * 8779 * 24179 * 40129 * 85691 * 258743 * 459691 * 590437 * 909091 * 1458973 * 7444361 * 105520339 * 599144041 * 183411838171<12> * 196339580053<12> * 1956057910423<13> * 425991366045253<15> * 909090909090909091<18> * 4539402627853030477<19> * 4924630160315726207887<22> * 136094982876222218559943<24> * 247025236977306025681323889<27> * 65007158613307189381152942277<29> * 753201806271328462547977919407<30> * 9493467562479980587204226253298411<34> * 61828645758322140842666144519962696417487<41> * 72021403933746126426491665754465510017877<41> * 17499101101496101893247811440257935152097401<44> * 9284668536078237580134472469990637899155265743957<49> * 6379603923183116557572498736754081808902892003349145377489<58> * 803956626149925031112757148192164970057208483589704631288984124647169634536861236854805849361<93> * 13147963643704652632557279758698587212033283223333451187877069162714784603584406816150353817835190742091970171<110> * 118406308604014738032986880393983553483698736486523737091214336891111037216663569858459578047055026965068496734007753047724699784687389349031013172664108401383134457213<168> * [1907025981...<253>] * [2943394391...<1069>] * [8642028059...<2119>] (21.63%)
10^4390+1 = 1000000000...<4391> = 101 * 3541 * 27961 * 84831373129<11> * 32524550757016458408427921<26> * [3588482418...<840>] * [3576409999...<1752>] * [2824060999...<1753>] (1.06%)
10^4391+1 = 1000000000...<4392> = 11 * 8783 * 142962179 * 174465802691<12> * 3038717194729259<16> * [1365660275...<4352>] (0.91%)
10^4392+1 = 1000000000...<4393> = 17 * 977 * 8929 * 17569 * 5882353 * 41188177 * 50303041 * 64667809 * 9999999900000001<16> * 967901760520372289<18> * 7849115417706986501273297<25> * 13501974323433688063050622369<29> * 12126864657751886263647243158401<32> * 111994624258035614290513943330720125433979169<45> * 1333621378380781329750868926173511152429445865079521<52> * 8330524721...<352> * [8380336225...<920>] * [3754389120...<2865>] (13.83%)
10^4393+1 = 1000000000...<4394> = 11 * 47 * 139 * 383 * 2531 * 679961 * 4041943 * 955059211 * 78087485383<11> * 549797184491917<15> * 7224236663364751013<19> * 1239237054052276731077<22> * 3370796736173938091727422330529475982098304687381174810841794785884893349397<76> * 34355007868290105260151014423846456692008580727031775135173625397961285416300659<80> * [1228701333...<4141>] (5.76%)
10^4394+1 = 1000000000...<4395> = 101 * 521 * 89909 * 1900381976777332243781<22> * 7249657507840161826942418511086116063748219199832125768043099150081<67> * 232372119876907280822321391951168183308631299658430083807589307649464986270410218850191981<90> * 6602301042905025014150499310047313448245682669011729128957515031149279442747958138479802877326014922521941710194942904921087201551745922931834010574449<151> * [9999999999...<4056>] (7.69%)
10^4395+1 = 1000000000...<4396> = 7 * 11 * 13 * 211 * 241 * 2161 * 9091 * 86143 * 11567641 * 25041423311011<14> * 174983611899571<15> * 4509406274733641<16> * 190675328239280761<18> * 9090909090...<292> * [1275670801...<580>] * [2439321128...<1153>] * [9415644313...<2284>] (8.64%)
10^4396+1 = 1000000000...<4397> = 73 * 137 * 7841 * 127522001020150503761<21> * 35252297613924163416857<23> * 265992545707898899331089<24> * 10231025667791599712682313<26> * 95019915984636420044068341569<29> * 1066349768...<579> * [1028749437...<3691>] (16.06%)
10^4397+1 = 1000000000...<4398> = 11 * [9090909090...<4396>] (0.02%)
10^4398+1 = 1000000000...<4399> = 101 * 9901 * 167871661 * 3967655701<10> * 3464031640636033439881<22> * 46318655049152293496020489<26> * 1250127667091820297770116921<28> * 3833872109492457114118463738183809<34> * 2286348395...<1416> * [8539176916...<2851>] (35.18%)
10^4399+1 = 1000000000...<4400> = 11 * 167 * 997 * 96779 * 3565183 * 24282481 * 2097307081<10> * 8565813134539<13> * 4418190910202809<16> * 7742098247001476863<19> * 943176903141330068482602900960294299878841<42> * 9090909090909090909090909090909090909090909090909091<52> * [1236816936...<4224>] (4.00%)
10^4400+1 = 1000000000...<4401> = 353 * 449 * 641 * 1409 * 4801 * 11969 * 14081 * 43201 * 69857 * 980801 * 1634881 * 4913921 * 18453761 * 470909313601<12> * 947147262401<12> * 5054095645487169601<19> * 21010321313771615056001<23> * 349954396040122577928041596214187605761<39> * 585903038877880401685466313109511755841<39> * 361057759540097288072937247979725352972055181853408265699800478521559326591153094457376181755912540092512773699689532234798987224827675649<138> * [4915793084...<306>] * [2398265690...<579>] * [4759565477...<3178>] (7.69%)