10^3801+1 = 1000000000...<3802> = 7^2 * 11 * 13 * 127 * 1087 * 2689 * 13757 * 22807 * 152041 * 190051 * 304081 * 459691 * 909091 * 9822131521<10> * 19366133011<11> * 2374405879931<13> * 2658556578091<13> * 5137872488351527<16> * 1467439874822650361<19> * 124016216479696838809<21> * 484165712170909795871964783465540188248186710475652666425207<60> * 25900548863672930451831053961363718303143744545008210388536104834284881<71> * 57813769227978665304109403799291636496876923883191635824278127299864929561<74> * 778918424933155393480511088578762495409547716376329687166271120021739022042090054703<84> * 66182298069357042371041913724627286229243632428483707077116950007693132994895137102285753741715535137859859396449494118180542197662470918942734935105825763243741598154908973645214837925427979563331<197> * [1146122551...<1051>] * [6938851564...<2119>] (16.63%)
10^3802+1 = 1000000000...<3803> = 101 * [9900990099...<3800>] (0.05%)
10^3803+1 = 1000000000...<3804> = 11 * 7607 * 3010521107084834173465967<25> * [3969650045...<3774>] (0.77%)
10^3804+1 = 1000000000...<3805> = 73 * 137 * 99990001 * 1068836516672887538001262066480057<34> * [9355032265...<1231>] * [1000099999...<2529>] (1.18%)
10^3805+1 = 1000000000...<3806> = 11 * 9091 * 9133 * 39436456769<11> * 527464845091<12> * 174710739618281761<18> * [2524038465...<746>] * [1193645101...<3012>] (1.28%)
10^3806+1 = 1000000000...<3807> = 89 * 101 * 1052788969<10> * 1056689261<10> * 19368443729478869<17> * 9970640571320679438520961989<28> * 54681575751290909883901945368061<32> * [5126970743...<300>] * [1847057232...<3409>] (2.58%)
10^3807+1 = 1000000000...<3808> = 7 * 11 * 13 * 19 * 1459 * 2539 * 5077 * 6299 * 52579 * 86293 * 251263 * 309637 * 344887 * 9127213 * 70541929 * 187357699 * 615771253 * 2458921051<10> * 14175966169<11> * 39461146327<11> * 4855067598095567<16> * 456502382570032651<18> * 6678842172224365369<19> * 1160803383934463712259<22> * 610600386089858349939139<24> * 297262705009139006771611927<27> * 8147270298945964118744634040617462692098679807835492529<55> * 30073566270559048948142559741512708796590524703892560552659<59> * 29874549234147150563417893319435781563246822689420867869526123029384708535314860658249277906939207757999026128433796893742812829982156826308475414151559767043882554568996178493027654798173575517<194> * 1155508585...<806> * [1352566911...<2466>] (35.25%)
10^3808+1 = 1000000000...<3809> = 6529 * 19841 * 224129 * 365569 * 976193 * 6187457 * 1050766310593<13> * 834427406578561<15> * 9436966498586910837121<22> * 10057985820552786713090497<26> * 417067672004431016027567793820801<33> * 707285850117624346067550937755073<33> * 10570228101106458083884416927081704098561<41> * 3389990665995333265366836872252020333482336548986397735456228533820597306799173793346530834741952645058293656375786341106265537<127> * [6482183876...<404>] * [2735461704...<3067>] (8.87%)
10^3809+1 = 1000000000...<3810> = 11 * 859 * 1378859 * 438027383 * 1058313049<10> * 863075280588142208263<21> * 9090909090...<292> * [2110196449...<3469>] (8.94%)
10^3810+1 = 1000000000...<3811> = 61 * 101 * 509 * 3049 * 3541 * 7621 * 9901 * 27961 * 86869 * 629921 * 4188901 * 39526741 * 70983349 * 5909268714841<13> * 47363086944961<14> * 379625156630821<15> * 503340347310181<15> * 621385610460229<15> * 211584774771750421<18> * 983073019467046801<18> * 8328795561676005901<19> * 16002166404515305621<20> * 2852046362258779986901<22> * 49051465598243304065801<23> * 1643031444531412945030981<25> * 17763222432585594755925061<26> * 50829600231219476261019743787481<32> * 2844397351...<214> * [5441288118...<419>] * [1980578281...<453>] * [3576409999...<504>] * [1333679687...<945>] * [7786582188...<950>] (14.21%)
10^3811+1 = 1000000000...<3812> = 11 * 1237 * 7253 * 44092859 * 102860539 * 984385009 * 1529461009<10> * 422650073734453<15> * 612053256358933<15> * 296557347313446299<18> * 182725114866521155647161<24> * 1471865453993855302660887614137521979<37> * [7192076120...<3663>] (3.89%)
10^3812+1 = 1000000000...<3813> = 73 * 137 * 1490223163070218716284713<25> * [6709733379...<3784>] (0.74%)
10^3813+1 = 1000000000...<3814> = 7 * 11 * 13 * 373 * 739 * 2543 * 44641 * 148339 * 4934023 * 16419517 * 3590254957<10> * 2007538696766521<16> * 2670502781396266997<19> * 3404193829806058997303<22> * 909090909090909090909090909091<30> * 18381907262281244633158190677786966663091011<44> * 61051796035522969271171274876554178504544683763248923853725596423<65> * [8766881884...<1190>] * [4532913868...<2385>] (6.25%)
10^3814+1 = 1000000000...<3815> = 101 * 248493028104175911360721<24> * [3984413637...<3789>] (0.67%)
10^3815+1 = 1000000000...<3816> = 11 * 1091 * 9091 * 283837 * 909091 * 4147571 * 17788583 * 2755580006681<13> * 1107565782360491<16> * 3338786746233023<16> * 265212793249617641<18> * 8333861613298742126117<22> * 1359322464803502776636005411<28> * 7884537470256430322347573586201<31> * 14060959683864286267405933000927102019<38> * 19364383321148719295180578853325741855858987848620134943<56> * [3082352623...<344>] * [2614183051...<614>] * [9091000909...<2592>] (6.98%)
10^3816+1 = 1000000000...<3817> = 17 * 8929 * 30529 * 5882353 * 623778784273<12> * 1223383661358193<16> * 9999999900000001<16> * 27249519156823169<17> * 31877937199028449<17> * 3598147325458648817<19> * 105801292309560102097<21> * 417194755086545179633<21> * 861058685955278521729<21> * 111994624258035614290513943330720125433979169<45> * [3157611242...<357>] * [1000000009...<833>] * [1144313236...<2412>] (5.67%)
10^3817+1 = 1000000000...<3818> = 11^2 * 23 * 4093 * 8779 * 63804973 * 368720813 * 441962797 * 805697219 * 60612104939<11> * 89700105169<11> * [3411495834...<318>] * [6435659764...<3433>] (1.75%)
10^3818+1 = 1000000000...<3819> = 101 * 1289 * 18371524594609<14> * 4181003300071669867932658901<28> * 23023967955265160767768376873521136169786061<44> * 4300297028838474156015268798064619519844286165272568941158694953418333634388515222398381949374346543672407516659353137441<121> * [1009999999...<3609>] (5.50%)
10^3819+1 = 1000000000...<3820> = 7 * 11 * 13 * 7237 * 122209 * 356441 * 1458973 * 2376747013<10> * 17830074841<11> * 27948551625727<14> * 851109498533797<15> * 909090909090909091<18> * 45360300267343173645804799921<29> * 753201806271328462547977919407<30> * 909090909090909090909090909090909090909090909090909090909090909091<66> * 220589842618680198991086731354678488275926380957742565496334997548411735059<75> * [9035299123...<1164>] * [3828762569...<2367>] (7.55%)
10^3820+1 = 1000000000...<3821> = 73 * 137 * 161969 * 1676321 * 5964848081<10> * 8464809710844890517494016141257<31> * [7293021137...<724>] * [1000099999...<3041>] (1.47%)
10^3821+1 = 1000000000...<3822> = 11 * 121632161805797327<18> * [7474099741...<3803>] (0.47%)
10^3822+1 = 1000000000...<3823> = 29 * 101 * 281 * 521 * 2549 * 3121 * 9901 * 178361 * 226549 * 121499449 * 37275014869<11> * 428085457801<12> * 654721485601<12> * 53397071018461<14> * 4902137591818741<16> * 4458192223320340849<19> * 798407634963349034989<21> * 1900381976777332243781<22> * 6060517860310398033985611921721<31> * 3571618567996393297210217238290456648947344377957590363519828421<64> * 431916413820617754546053476804635449461410533962843828981966782964481<69> * 23742102289472351423104605582718329399560972065457968561934785062599221<71> * 999999999999990000000000000099999999999999000000000000009999999999999900000000000001<84> * 42119269296696900571911233210284860119181841417224327914548495484369630946481330639729038447921181<98> * 1585333300...<230> * [2199531904...<1000>] * [9999999999...<2016>] (21.11%)
10^3823+1 = 1000000000...<3824> = 11 * 114691 * 7024120237<10> * 660627069324011287783<21> * 204127208789082072501811<24> * 33442352683608448219070647<26> * [2502257234...<3738>] (2.24%)
10^3824+1 = 1000000000...<3825> = 353 * 449 * 641 * 1409 * 69857 * 1682561 * 3276664198087069132056353<25> * [1813832778...<3778>] (1.22%)
10^3825+1 = 1000000000...<3826> = 7 * 11 * 13 * 19 * 103 * 211 * 241 * 251 * 1531 * 2161 * 4013 * 5051 * 9091 * 29611 * 52579 * 87211 * 102001 * 270001 * 2142001 * 2254201 * 3762091 * 5364487 * 39053251 * 787223761 * 832339891 * 21993833369<11> * 276402747619<12> * 291078844423<12> * 2405782797823<13> * 5516286288241<13> * 7947357582331<13> * 8985695684401<13> * 12804651623971<14> * 40984651817371<14> * 78875943472201<14> * 377526955309799110357<21> * 4270914986978327797975291<25> * 165564988462016408581266824201<30> * 3228529113769803189332045176651<31> * 201069283252703294533187911388251<33> * 216219010761333454086082249502131<33> * 10000099999999989999899999000000000100001<41> * 73610520788177438692703784333146668068451<41> * 157393477257579000092993572752789683416120273639369<51> * 160220794821014452066741918303580917664386555934641<51> * 175137725562337579790651749196120587807233668420015131<54> * 3703689986333387654119799556297939637260602734804685908570705293684097466301976659345706127014344391317072899730001<115> * 1810329304...<212> * [1564512225...<342>] * [3097354754...<610>] * [2560606286...<1913>] (25.15%)
10^3826+1 = 1000000000...<3827> = 101 * 27272409029<11> * 216770516069<12> * 11959078003786173585306809701<29> * 2963322469241467480348839392075501<34> * [4725832234...<3741>] (2.23%)
10^3827+1 = 1000000000...<3828> = 11 * 179 * 1630303 * 19800899 * 57009401 * 2182600451<10> * 13006733053<11> * 25476453811<11> * 12147237304901893<17> * 7306116556571817748755241<25> * 4180967272673252032291190917188955510245874180001164839931077197586653<70> * [1028329383...<3663>] (4.31%)
10^3828+1 = 1000000000...<3829> = 73 * 137 * 233 * 617 * 2377 * 13921 * 16369 * 76561 * 135257 * 355193 * 432961 * 45377113 * 99990001 * 6796152793<10> * 21591416633<11> * 24387741577<11> * 11090099157944399977<20> * 126197002179733470481<21> * 300140075118384638690081<24> * 283830826522232279893972777<27> * 5066523342506124605016947927089<31> * 17468739848498438039329935679794457<35> * 16205834846012967584927082656402106953<38> * 246900403017958787131873605843061988161<39> * 320326994163169943384295066992439316655840979654890345228609<60> * 2623709608263520547879954791214412810391703985166673562220208867630775121385164482905259044455273939230491414883050557483687370269811018178176841590586944036054473<163> * [5429037334...<1084>] * [2577738912...<2205>] (14.10%)
10^3829+1 = 1000000000...<3830> = 11 * 172853 * 909091 * 22514521 * 19223434331<11> * 75082069044649<14> * 267424908591059451289<21> * 1947685032050060422707511285778557<34> * 801184237904695710568990687788865153927<39> * [4548108181...<478>] * [9380140581...<3215>] (3.56%)
10^3830+1 = 1000000000...<3831> = 101 * 3541 * 27961 * 1194961 * 183769529 * 561018401 * 44123507341<11> * 111199904928213581<18> * 1024436415251314873508003465821<31> * [5387721322...<756>] * [5228357878...<1482>] * [5732786637...<1502>] (2.37%)
10^3831+1 = 1000000000...<3832> = 7 * 11 * 13 * 30649 * 23613395209<11> * 49737750409<11> * 38913672805876790718967<23> * [2966135629...<1272>] * [2404428185...<2509>] (1.34%)
10^3832+1 = 1000000000...<3833> = 17 * 15329 * 252913 * 5882353 * 37004849323945297<17> * [6970378767...<3798>] (0.89%)
10^3833+1 = 1000000000...<3834> = 11 * [9090909090...<3832>] (0.03%)
10^3834+1 = 1000000000...<3835> = 101 * 109 * 569 * 7669 * 9901 * 16189 * 153469 * 999999000001<12> * 2757886919571241<16> * 262786506439990609<18> * 380623849488714809<18> * 9234177915412657069<19> * 59779577156334533866654838281<29> * 7716926518833508778689508504941<31> * 40006639726526214492389221911263641<35> * 93611382287513950329431625811490669<35> * 969097263812783137216833495330823456969<39> * 1036756316443411214963176965712456280509<40> * 82519882659061966708762483486719446639288430446081<50> * 791145568078856137872408096636314622331869565265096415358925771275309<69> * 843407644889588409015473024758866665298118138956929263554289382634028509255935457469<84> * 101253197252546739391696960929770677225345517172721793498446653911414524366799333412935173798585607285941<105> * [9063415790...<790>] * [3787502091...<2425>] (16.16%)
10^3835+1 = 1000000000...<3836> = 11 * 131 * 859 * 1889 * 9091 * 14749411 * 1058313049<10> * 17063217231876704201<20> * 1090805842068098677837<22> * 2353867026803341982771<22> * 25602601418102182972721<23> * 1224110968975927611156241<25> * 193428272579096534429098931<27> * 803454205095303821868753731<27> * 839880464810966512796119739561<30> * 123060486666316245549009798292171<33> * 4411922770996074109644535362851087<34> * 8396862596258693901610602298557167100076327481<46> * 1174468140649914584097264138153408637853221082957239399275046690523556598768034374284436218737159495708861498925726659983288086179744161<136> * [1309710186...<667>] * [2397930780...<2702>] (12.19%)
10^3836+1 = 1000000000...<3837> = 73 * 137^2 * 1097 * 7673 * 7841 * 50109268944598117913<20> * 127522001020150503761<21> * [6653181603...<539>] * [2601118645...<3241>] (1.48%)
10^3837+1 = 1000000000...<3838> = 7 * 11 * 13 * 22750853 * 323725133 * 2333350277779<13> * 94189813042079366863<20> * 12700672507083711161009813<26> * [9718662370...<1237>] * [5000054449...<2524>] (1.99%)
10^3838+1 = 1000000000...<3839> = 101^2 * 43791581 * 316235849 * 447341929 * 3679329001<10> * 19384130081<11> * 304127687221<12> * 12793360409007449<17> * 374506928408557741<18> * 722817036322379041<18> * 1369778187490592461<19> * 6552307524416116849<19> * 534364925305277959169<21> * 1866315789021833248261<22> * 4908990488743183603681<22> * 5383539446793990416488818114381662511041<40> * 147987024898557331825270928295100820916509<42> * 274709671055935535763734628625616947603714681537231287179261<60> * [2190518269...<3486>] (9.19%)
10^3839+1 = 1000000000...<3840> = 11^2 * 23 * 3491 * 4093 * 8779 * 800496130623947562336613887037<30> * 3361543170437980531667161105832265329<37> * 35927713091621749764338565947172319082597<41> * 2156200781...<268> * [1374147803...<3451>] (10.13%)
10^3840+1 = 1000000000...<3841> = 10753 * 40961 * 8253953 * 9524994049<10> * 68792570881<11> * 73171503617<11> * 32622033239041<14> * 297102788984773956097<21> * 368082645507436752287233<24> * 1616596633...<225> * [9144246603...<468>] * [2441346646...<1020>] * [4456023105...<2024>] (8.57%)
10^3841+1 = 1000000000...<3842> = 11 * 47 * 139 * 2531 * 4632247 * 63716179 * 6000410201<10> * 549797184491917<15> * 284924865242070397<18> * 116011189311149998139<21> * 272828068791212993437<21> * 301525294918950432087520298129941558711551656822567015411<57> * 14950128044255312629457887411604300692966728690551568705030373<62> * [1388959825...<3619>] (5.80%)
10^3842+1 = 1000000000...<3843> = 101 * 18864221 * 28559389 * 1491383821<10> * 5274236129<10> * 52743988481<11> * 2324557465671829<16> * 132305743681936841<18> * 62554557765317517282085861045655294434955453111717816503072219942390838369658841<80> * 226813030797815731197778256645639265718556459184651841552579161651406131077524640644151258260029762686434793845331341<117> * [1015132959...<3568>] (7.16%)
10^3843+1 = 1000000000...<3844> = 7^2 * 11 * 13 * 19 * 127 * 367 * 2689 * 7687 * 52579 * 81131 * 169093 * 459691 * 909091 * 5274739 * 51745081 * 55405813 * 191870011 * 2483310733<10> * 231360835259<12> * 4741477940161<13> * 40498340376691<14> * 169894323769969<15> * 140442902379685733689<21> * 74307593114918637692506291<26> * 1332637657781062159783634743<28> * 189772422673235585874485732659<30> * 182686188880054439969850506100637<33> * 42936744040512685057308971520417028077990465463<47> * 33277993916065498965234812212436587255656671587921<50> * 280864846266479724963196714881918703837192646197734463<54> * 11205222530116836855321528257890437575145023592596037161<56> * [3055273414...<288>] * 1480744226...<314> * [5239478642...<632>] * [9253568536...<2136>] (20.50%)
10^3844+1 = 1000000000...<3845> = 73 * 137 * 1489 * 640543322297<12> * 27908132670449<14> * 384705444182230291105649<24> * 5988292703521103061542638961<28> * 97645954668018846467287180866355758374263120864803042536883990817097<68> * [1669925051...<3693>] (3.95%)
10^3845+1 = 1000000000...<3846> = 11 * 7691 * 9091 * 676721 * 3661979 * 267750612251<12> * 857551598430969981703517<24> * 9287243504302734314292246493018665305411<40> * [3117054329...<698>] * [7893423504...<3051>] (2.51%)
10^3846+1 = 1000000000...<3847> = 101 * 9901 * 38461 * 71912509 * 8690934401<10> * 1049508429129709<16> * 85345508013065035581466609<26> * 27189275929548127954581257800366864533484049<44> * [1089416478...<1223>] * [1568013867...<2512>] (2.93%)
10^3847+1 = 1000000000...<3848> = 11 * 999253054425591112476411247563788023877<39> * [9097704581...<3807>] (1.04%)
10^3848+1 = 1000000000...<3849> = 17 * 593 * 1249 * 49297 * 300977 * 648961 * 5882353 * 68303082525534585457<20> * 249227787818677482257<21> * 985165691466610962673<21> * 235856767781545934137297<24> * 1367161441858551902249117993891057<34> * 333632766438409011274705987026407639670042305536743429073<57> * 1686340623...<286> * [4608740732...<3359>] (12.72%)
10^3849+1 = 1000000000...<3850> = 7 * 11 * 13 * 7699 * 564455851 * 100802115331<12> * 973195516771<12> * 1828496094259<13> * 8886294572371<13> * 680967535797761329479818305375688058373<39> * [1023025853...<1270>] * [2070160979...<2478>] (2.67%)
10^3850+1 = 1000000000...<3851> = 29 * 89 * 101 * 281 * 421 * 661 * 701 * 3541 * 18041 * 20021 * 27961 * 60101 * 148721 * 2471701 * 2741201 * 3471301 * 7019801 * 13489841 * 19658101 * 121499449 * 422100001 * 486904001 * 1052788969<10> * 1056689261<10> * 1121407321<10> * 39511854229<11> * 60368344121<11> * 1125310645201<13> * 11224024257601<14> * 14103673319201<14> * 1680588011350901<16> * 177663162067596466801<21> * 557377949694929416901<21> * 848654483879497562821<21> * 133157371602664723858501<24> * 1607415137021384783510881<25> * 54083748923334718098149101<26> * 198618138138638637771823241<27> * 212890462662706052906860201<27> * 1395900370916327245555441901<28> * 49094895915282817628267672401<29> * 36380545029953205956377406702261<32> * 38041784784146774130170998462735601<35> * 3668996113223183559833250396711179251902642533701<49> * 16110638360992570900426742492996398052881460699696765138501<59> * 126239370797267198368490274128272780260464262689211651471701<60> * 213567756617511209506778605497489645838025587933288349770601<60> * 4729413357148090640380520548670420819661897089600775548490401<61> * 2973385658387841660090191886374395419376540691403988974383959767974439471407978471880584291823101<97> * 647799461893729229242068652342456021003805852058736425973158141325454469108253161834095467738437014341<102> * 25561948931738399180959860493035633005346674997219855227412314112685523898853595360610683149167147379131162769<110> * 134256998785836474976015607982571963551270283137941042874774137056296920871596155201605656692318262737865636321<111> * 800107125395206239935430877758693441879338279715986854168759198643184320615090047781735227652512476232674239391299478587112475352432305219301<141> * 17985445993955436425474354511057804329884965700984015515856237540198834129160991706794033353930884303280095067217754630135790256327934686257744387361391589543300184805254601<173> * [4909251562...<1140>] * 1636914517...<1174> (70.40%)
10^3851+1 = 1000000000...<3852> = 11 * 7703 * 4724298973<10> * 46056698266063<14> * 64767109694117<14> * [8374574025...<3809>] (1.09%)
10^3852+1 = 1000000000...<3853> = 73 * 137 * 857 * 3169 * 17977 * 77041 * 98641 * 169489 * 17845889 * 99990001 * 4724110777<10> * 11656221337<11> * 3199044596370769<16> * 32125850712078289<17> * 1174728377118274186697<22> * 610278304060012464870755221969<30> * 178041560769736312478867254989953569<36> * [1073828389...<350>] * [3113069312...<832>] * [3690263630...<2489>] (4.75%)
10^3853+1 = 1000000000...<3854> = 11 * 15413 * 46237 * [1275646930...<3844>] (0.26%)
10^3854+1 = 1000000000...<3855> = 101 * 45121 * 68389 * 2029672656352469<16> * 2144906157509411684424913774078958939881<40> * 1023037643093214557651333120422980213172396059301<49> * 1447745997018511893740076606031686237538345362413531560645573104006506749609<76> * [4976171880...<3665>] (4.91%)
10^3855+1 = 1000000000...<3856> = 7 * 11 * 13 * 211 * 241 * 1543 * 2161 * 9091 * 30841 * 113081 * 678481 * 2322253 * 4094011 * 630670896521<12> * 46608601872127<14> * 411304028398321<15> * 74419367274678463<17> * 386659586209513811<18> * 4488944912811246721<19> * 596499234628354861081<21> * 8802859463727639797791299361<28> * 41236044512156603777979544195943152517271779<44> * 6621650829759394867011952029659651154933062041670057842400167<61> * 1079532167431061415165932592055901092454451592309148326151617900514215922407756340218895879841860600138403440141998167181967545309634241890872640207<148> * [3301998971...<433>] * [5879351690...<984>] * 6139174789...<1999> (63.26%)
10^3856+1 = 1000000000...<3857> = 353 * 449 * 641 * 1409 * 69857 * 14760769 * 1199636180609<13> * 1901601458559169<16> * [2969764140...<3806>] (1.31%)
10^3857+1 = 1000000000...<3858> = 11 * 59 * 1103 * 19489 * 909091 * 95483893 * 243720583 * 6416791721<10> * 94700896757<11> * 246674237689788343<18> * 909090909090909091<18> * 2563963356465898129<19> * 154083204930662557781201849<27> * 247025236977306025681323889<27> * 13569612563320403017443683179<29> * 674756255553554784010629810684186001<36> * 61828645758322140842666144519962696417487<41> * 72021403933746126426491665754465510017877<41> * 2689733081149583259955660466703961213355942983143965614283081<61> * 6656280510176649041177006666533233898159823895551612176879783493172755702305410407269034716016715927564139783<109> * [2473501391...<403>] * [1411010746...<2981>] (12.30%)
10^3858+1 = 1000000000...<3859> = 101 * 9901 * 1720669 * 3163561 * 13527817229<11> * 2550799517420069<16> * 7197355629684858889<19> * 1750440144426714472609223459681889645749<40> * [9526425463...<1213>] * [4435798036...<2543>] (2.65%)
10^3859+1 = 1000000000...<3860> = 11 * 103 * 4013 * 36346333 * 2288055127<10> * 21993833369<11> * 65048932499<11> * 3861904074787001<16> * 6476572499...<203> * [7390707717...<3596>] (6.82%)
10^3860+1 = 1000000000...<3861> = 73 * 137 * 3089 * 77201 * 1676321 * 10086953 * 5964848081<10> * 117320749876721<15> * 565220822732399199433262705921<30> * [4156767571...<753>] * [1508170508...<3029>] (2.05%)
10^3861+1 = 1000000000...<3862> = 7 * 11^2 * 13^2 * 19 * 23 * 157 * 859 * 4093 * 6007 * 6397 * 7129 * 8779 * 23167 * 51767 * 52579 * 216451 * 461917 * 592489 * 60034573 * 70541929 * 599144041 * 1058313049<10> * 7093127053<10> * 14175966169<11> * 22144088539<11> * 27774728983<11> * 183411838171<12> * 264752347289<12> * 388847808493<12> * 30742515591607<14> * 210991557708361<15> * 1542069041800717<16> * 15567222595165957<17> * 104730101107272149081<21> * 8927244623941181398233253<25> * 80216851991399964961367677<26> * 1866763546567680996103417376059<31> * 4398526783100422870888251951691<31> * 141122524877886182282233539317796144938305111168717<51> * 112970308382439859401726947341740704554951737408511354573<57> * 36096800156828895568286578224818258719817914995401933354161<59> * 6862390300547244074038319769783944997739006024946890580945655121<64> * 74507557122096964531006066514788984423438931950911932421947947339<65> * 34607524609209512562213651270561528862879196390936320471942325254862879783<74> * 8000274558764048855772521798953431026754861120047615036248955653510671403655103704934457289394961420440781989755335177962505013085247<133> * 2034912907341890579508004374922618204834574380623196103952624440743420129331724300035272820537860281632850134325283932163005113368044494901325885217871107832645761419<166> * [1498308140...<679>] * [4316484650...<2156>] (26.60%)
10^3862+1 = 1000000000...<3863> = 101 * 518700099818672173201<21> * 15899398573142579708189069<26> * 69251785270119131519483621<26> * [1733606889...<3789>] (1.91%)
10^3863+1 = 1000000000...<3864> = 11 * 7727 * 18542401 * 724451569 * 95643983406094929576432376747441<32> * [9157215208...<3810>] (1.37%)
10^3864+1 = 1000000000...<3865> = 17 * 113 * 337 * 176641 * 4165393 * 4970209 * 5882353 * 17828497 * 11266057249<11> * 9999999900000001<16> * 73765755896403138401<20> * 23839779350937685860961<23> * 119968369144846370226083377<27> * 374531874959836692094017219169<30> * 2070270028985341766616009080161<31> * 22651858853653655359251914860948647902217772389947313979551649<62> * 1433319827159466789806966856379479179916136529424792832495021393<64> * 120553054891405588545727822543281066162803459003848166118314367809<66> * 829510285658710111215121966308351445187741335558528775675039806142270659943202818322753067885238020768017585089<111> * [4998814505...<217>] * [2400733880...<1050>] * [5608997718...<2105>] (12.76%)
10^3865+1 = 1000000000...<3866> = 11 * 9091 * 2514771527<10> * 4371631931<10> * 27542107953980594633792218895027329<35> * [1312537148...<729>] * [2516197652...<3079>] (1.51%)
10^3866+1 = 1000000000...<3867> = 101 * 185569 * 378869 * 463921 * 1967330081<10> * 1038215469079602566109529<25> * [1486193533...<3815>] (1.34%)
10^3867+1 = 1000000000...<3868> = 7 * 11 * 13 * 2579 * 18047 * 57850321 * 14998296148876057160089<23> * 8181698199699349388423419<25> * [2387302752...<1256>] * [1266516668...<2547>] (1.69%)
10^3868+1 = 1000000000...<3869> = 73 * 137 * 26001663921823405952714861249<29> * [3845523167...<3836>] (0.84%)
10^3869+1 = 1000000000...<3870> = 11 * 293 * 37607770350746801<17> * 144851307671768281<18> * 19293992030199554053<20> * 10826684964539959837294043117<29> * 604950932048107064518002608095291<33> * 286578888976194997999922592330908602103011<42> * 9090909090909090909090909090909090909090909090909091<52> * [1730017251...<3659>] (5.45%)
10^3870+1 = 1000000000...<3871> = 61 * 101 * 181 * 1549 * 3541 * 7741 * 9901 * 10321 * 20641 * 25801 * 27961 * 100621 * 338669 * 614041 * 1106821 * 4188901 * 39526741 * 46076221 * 18445875121<11> * 999999000001<12> * 1044817620601<13> * 3665416010401<13> * 4996526295421<13> * 1596501606879721<16> * 2198478623863901<16> * 27055523529024347341<20> * 4999437541453012143121<22> * 230547756842639206892221<24> * 1105097795002994798105101<25> * 6056569717114034438093089<25> * 279060762796539348792116809<27> * 8045181580990560114237163201<28> * 555008993555717464119718039441<30> * 115309033658716156289440262332960681<36> * 112861408046196922060728644228472765841<39> * 7549370642855106064318428883982856249713821<43> * 13441721102334727627682496494535257828666281<44> * 202026760686388880964731015757788959143121139209<48> * 46229724820742226005075125617528225785246749164469<50> * 40577891868500992650677399803808454657267203875748156761<56> * 3209681398615442534074101309775547494759396015886801499169945861<64> * 5450116210658743893234594584043237507827598349697948371796539141<64> * 2923500556298303355222653948542706598448925085853709961673200056984872843366529<79> * 21980826109373183943087013239828174324083831078225247586850633941390323492044945842110985914964169190119801<107> * 342299931502412489149047988893055568468794699959932177819733894222776497629919381410405213349176797123378801504531160389523331369411970776284398551350113041<156> * 25703972639236041366643216382860796626687784008390077004363081003683195814794856372124751197653151604229889369066856897876942611464534270390956454721734257393202803606765035551579353836578525667341<197> * 6812006207...<211> * [2062064269...<395>] * [6431629651...<943>] * [5451693579...<977>] (40.21%)
10^3871+1 = 1000000000...<3872> = 11 * 197 * 1423 * 909091 * 9615060929<10> * 10170342449<11> * 16833477053<11> * 3737255637179<13> * 5076141624365532994918781726395939035533<40> * 66443174541490579097997510158021076958392938976011506949065646573<65> * [2894038202...<446>] * [5940543934...<3266>] (4.13%)
10^3872+1 = 1000000000...<3873> = 19841 * 976193 * 6187457 * 696874817 * 23447080358593<14> * 834427406578561<15> * 26670033927811409112897180097<29> * 222688353792418778799593928777532880641<39> * 3162086824598326714007856976523611232833<40> * 196492106862714324563103086902334481596741493532094589569<57> * 1155769568319416848232879884038923230156612854236699681690470894082785656521814637400877154955316209847158487433384244688679028278097388037431233<145> * [1434977955...<3512>] (9.32%)
10^3873+1 = 1000000000...<3874> = 7 * 11 * 13 * 15493 * 11870289377699<14> * 648021026379841<15> * 32320138096553298196155603912891601<35> * [2369587775...<1243>] * [1094545926...<2562>] (1.80%)
10^3874+1 = 1000000000...<3875> = 101 * 521 * 10729 * 85229 * 607921 * 27922759005649<14> * 136916416686052955621<21> * 1900381976777332243781<22> * 12463671098882718881327685400890631793963396331809714158641277443477408779299864788341586092901595083520271865575162918829366361<128> * 8895507508554837180752614096475159767380814608706479209439730943455128688243292437421408196724545840220038878927488419955380770391177802169<139> * [4244002713...<3534>] (8.79%)
10^3875+1 = 1000000000...<3876> = 11 * 251 * 5051 * 9091 * 11161 * 21001 * 162251 * 2452433251<10> * 4807542001<10> * 10893295001<11> * 3925963357681<13> * 78875943472201<14> * 5167617497664851<16> * 909090909090909090909090909091<30> * 269409792871731627664586194662281233853701011108906726055753272681082282441709251<81> * 4857900688365130469291831549890842547443917376935406225054646143856579892970236911030721<88> * [1000009999...<601>] * [8481637695...<2981>] (7.59%)
10^3876+1 = 1000000000...<3877> = 73 * 137 * 457 * 2857 * 7753 * 25841 * 27817 * 697681 * 1403417 * 2093041 * 13266937 * 30677249 * 99990001 * 152533657 * 183856769 * 376102873 * 464833177 * 36120612721<11> * 38063568073<11> * 67874116633<11> * 6772007217360769<16> * 48758852361961921<17> * 1119527384827710553<19> * 5240808656722481737<19> * 21099115382298983817817<23> * 53043011765949537815976769<26> * 13591271120229398317886003161009<32> * 42353923360157502447534166996835876881<38> * 297478330786365628414805305290302483555043017<45> * 65552746171882583264230070868884366877803237222654400793<56> * 44432384794221343755897441742032531086615578692097502509412995439256236377<74> * 194720331913760546074906161375930267923071695863299678749187377754543757962841785054377649<90> * [3342712114...<1095>] * [5116248991...<2203>] (14.93%)
10^3877+1 = 1000000000...<3878> = 11 * 120163739 * [7565434603...<3868>] (0.24%)
10^3878+1 = 1000000000...<3879> = 29 * 101 * 281 * 1109 * 17729 * 116341 * 121499449 * 706277981 * 1537306789<10> * 496077915001<12> * 1252336594981<13> * 66580850166860184732329<23> * [1121259994...<481>] * [8681376298...<3307>] (2.35%)
10^3879+1 = 1000000000...<3880> = 7 * 11 * 13 * 19 * 863 * 52579 * 624089 * 8293303 * 133720767001<12> * 451185706567<12> * 1459182378299533<16> * 13299088275535087<17> * 7918920301131907813<19> * 29709015781620746761<20> * 336449144493328033156009<24> * 165612020317090278784302601<27> * [2131493532...<403>] * [7534272757...<802>] * [9083194803...<2508>] (4.30%)
10^3880+1 = 1000000000...<3881> = 17 * 1553 * 4657 * 5070721 * 5882353 * 2138176433<10> * 45154373777<11> * 19721061166646717498359681<26> * 790754628893923244612618955473<30> * [1811078175...<712>] * [1000000009...<3073>] (2.49%)
10^3881+1 = 1000000000...<3882> = 11 * 13781570717<11> * 1859830451452877<16> * [3546788100...<3855>] (0.68%)
10^3882+1 = 1000000000...<3883> = 101 * 9901 * 93169 * 116461 * 194101 * 10128805771289<14> * 32651231630035441<17> * 358707685867464791644043614080398407699364549<45> * [8346033679...<1218>] * [4795580853...<2569>] (2.46%)
10^3883+1 = 1000000000...<3884> = 11^2 * 23 * 4093 * 8779 * 1006029527<10> * 186353150675539<15> * 1501635676520911267117<22> * 36544144281172830143903161<26> * 56540001776360839594874218856939642617050503<44> * [1598235487...<300>] * [1075656412...<3460>] (3.21%)
10^3884+1 = 1000000000...<3885> = 73 * 137 * 97017456724130482633<20> * [1030639272...<3861>] (0.62%)
10^3885+1 = 1000000000...<3886> = 7^2 * 11 * 13 * 127 * 211 * 223 * 241 * 2161 * 2689 * 4663 * 7253 * 9091 * 29527 * 31081 * 459691 * 826211 * 909091 * 4147571 * 29970369241<11> * 96697267717<11> * 134986808293<12> * 422650073734453<15> * 1661378260814161<16> * 49173925574833481<17> * 127227421112773339<18> * 265212793249617641<18> * 296557347313446299<18> * 18276168846821336356291<23> * 3109077346393851568780241<25> * 21606064498691505246200058094681<32> * 48911689110891303706174193415115219<35> * 4748510899300162563150136104999362670229727801<46> * 604952525701654038337824178399730400714477150228392025331<57> * 3091086674769589337569777240589592264676648718635101423877<58> * 20405858262551036238097198927251201795324405825413199508017546361<65> * 2067231225493579124691265691673517567653300635544400879316674712296736966641<76> * 35659932670748240040264579983001349652095197374575865104279861880596411416379094721760000561<92> * 74941782666871080572139707864851693613852773414268140020183607240075991444673103041682886153162527722083599097543<113> * 22369355044392829576198363935261212146051995578845131526611800779453430519897692892453842577603840415445414697342892679968594131<128> * [1855820022...<389>] * [1138660404...<830>] * [1098890000...<1729>] (24.19%)
10^3886+1 = 1000000000...<3887> = 101 * 269 * 349 * 4021 * 38861 * 618049 * 260587121 * 94927228208573594069<20> * 2302527353565357450759725122262880394277261<43> * 11811806375201836408679635736258669583187541<44> * 16071030565277594576986582552521799177065559188277159741<56> * [1009999999...<3697>] (4.89%)
10^3887+1 = 1000000000...<3888> = 11 * 47 * 139 * 677 * 859 * 2531 * 18914143 * 987001237 * 1058313049<10> * 32494323733<11> * 549797184491917<15> * 3179553832901390104168009<25> * 1592730232155679902273246343099578009020762979379345291<55> * 1281657376897297354090423403366881099978010686253604381263<58> * 75691170432105638169937308505913924514228814615635050477687293<62> * 939618179300167110691422839525295363729230399945945616908880764779647712170590547747265739<90> * 348953870513908636566325964119116561382775844756670203139413369145466843559239862216107575333780861060309557540714055579224966141897413<135> * [1662827312...<3401>] (12.52%)
10^3888+1 = 1000000000...<3889> = 97 * 353 * 449 * 641 * 1409 * 2593 * 10369 * 13249 * 69857 * 206209 * 466561 * 1067329 * 196482241 * 66554101249<11> * 75118313082913<14> * 90090039127681<14> * 9379643807081377<16> * 4167869055947573969953<22> * 11557557539996872349469889<26> * 789462081785833165384754689<27> * 70716147055257711374123575798428608590219877617672752248112085912824160137075376116481<86> * 6873201485...<237> * [3572051970...<818>] * [5142537896...<2565>] (13.01%)
10^3889+1 = 1000000000...<3890> = 11 * 127042849693<12> * [7155781779...<3877>] (0.31%)
10^3890+1 = 1000000000...<3891> = 101 * 3541 * 27961 * 46681 * 77801 * 11413261 * 12508652881<11> * 68050337401<11> * 45336212631682365057031059082321<32> * 12732967786842381210845984691402901<35> * 1763722658625922307781888583674044509<37> * 1355157068675915381446032476103133130496209<43> * [4780780164...<653>] * [4979873327...<1511>] * [8628041424...<1535>] (4.93%)
10^3891+1 = 1000000000...<3892> = 7 * 11 * 13 * 2689979 * [3379546491...<1290>] * [1098901098...<2593>] (0.24%)
10^3892+1 = 1000000000...<3893> = 73 * 137 * 7841 * 15569 * 530778263673847121<18> * 87507637690520617249<20> * 127522001020150503761<21> * 2834278778744573810273127918507017<34> * [1883837523...<535>] * [2589966719...<3255>] (2.65%)
10^3893+1 = 1000000000...<3894> = 11 * 103 * 4013 * 17807399531<11> * 21993833369<11> * 63587857129<11> * 2317091604522004723965449<25> * 3654338123959242082450397<25> * 22122368173743271094350225612207534262957<41> * 13270807703600518273110858480695033043595534787235597140531<59> * 1336395914067475494619360928220680511145198857935330550248985354190742963795052553003443246310484435548877<106> * [2658332273...<3603>] (7.46%)
10^3894+1 = 1000000000...<3895> = 89 * 101 * 709 * 7789 * 9901 * 430148941 * 1052788969<10> * 1056689261<10> * 5419170769<10> * 48352771501<11> * 789390798020221<15> * 2361000305507449<16> * 230175856669373992253976277974612031182496625023886807386072581333871027940087154579555293851089822885094561<108> * 1424540183...<230> * [2681750052...<1146>] * [9901000000...<2320>] (11.01%)
10^3895+1 = 1000000000...<3896> = 11 * 9091 * 305369 * 2268449 * 222942011 * 1812604116731<13> * 121450506296081<15> * 909090909090909091<18> * 2670502781396266997<19> * 3404193829806058997303<22> * 436026711667335044426416921<27> * 4996731930447843676185843959746621491531100801<46> * 25227559933282973049929756675369873687524422119109873612963516263168625757367193407132891393542516779351543564997326723299457284056291<134> * [1587956928...<709>] * [4077741991...<2872>] (8.09%)
10^3896+1 = 1000000000...<3897> = 17 * 7793 * 5882353 * [1283202861...<3885>] (0.31%)
10^3897+1 = 1000000000...<3898> = 7 * 11 * 13 * 19 * 1733 * 52579 * 2847735064819<13> * 55783879554131<14> * 9403727541...<415> * [1098901098...<865>] * [3515074177...<2580>] (11.63%)
10^3898+1 = 1000000000...<3899> = 101 * 18710401 * 2979913536006478347884346800214529<34> * [1775791070...<3856>] (1.10%)
10^3899+1 = 1000000000...<3900> = 11 * 88007 * 909091 * 179268223 * 344577275324047<15> * 20862619931001299769258280552030071437<38> * [8015512680...<491>] * [1099999890...<3337>] (1.85%)
10^3900+1 = 1000000000...<3901> = 73 * 137 * 313 * 401 * 1201 * 1601 * 32401 * 1101673 * 1580801 * 1676321 * 66365521 * 99990001 * 5020298401<10> * 5964848081<10> * 156481560378001<15> * 758429752282801<15> * 4487398067478973921<19> * 1159572853677397520401<22> * 1358074433371719716641<22> * 291593563046646669491593<24> * 3377783567534940293548001<25> * 112359026146134915822246001<27> * 261765253942256632280403601<27> * 100009999999899989999000000010001<33> * 4711806100010561082466291127577601<34> * 120920505705101252491925533049923433521<39> * 632527440202150745090622412245443923049201<42> * 7323941687838105624847742701467683590147273<43> * 175067038724863563854848045107963303611128869041<48> * 4482637729513780747000872935673625025127940754401<49> * 6279815040943032407714418831204387527919360005277361<52> * 7523020307427066273763456609903850552762967576510974081<55> * 129694419029057750551385771184564274499075700947656757821537291527196801<72> * 14612365731240570382005793941286349536257260783370326347124974631092755601<74> * [3357526645...<358>] * [2960521241...<936>] * [4921233067...<1808>] (20.50%)