10^100001+1 = 1000000000...<100002> = 11^2 * 23 * 4093 * 8779 * 70126096080080007841401603001<29> * [1296366060...<9062>] * [1099999999...<90901>] (0.04%)
10^100002+1 = 1000000000...<100003> = 29 * 101 * 281 * 9901 * 226549 * 6000121 * 15400309 * 107402149 * 121499449 * 371769341 * 1740350548143409<16> * 17304568836312181<17> * 4458192223320340849<19> * 55475311333185554401<20> * [2663207803...<4752>] * [6045380963...<9469>] * [6558309966...<28553>] * [1536406305...<57106>] (0.12%)
10^100003+1 = 1000000000...<100004> = 11 * 75002251 * 46284695788418677<17> * [2618759425...<99978>] (0.03%)
10^100004+1 = 1000000000...<100005> = 73 * 137 * 2393 * 622586702473<12> * 4178437150016715837818641871709193476807772628503969494400330129962348520684914375257<85> * 9999000099...<4344> * [1606362609...<95557>] (4.45%)
10^100005+1 = 1000000000...<100006> = 7 * 11 * 13 * 211 * 241 * 1889 * 2161 * 4973 * 9041 * 9091 * 160009 * 4426889 * 60247408327<11> * 968385024074451409<18> * 2676157881043509853<19> * 363201781172207089841<21> * 1090805842068098677837<22> * 2353867026803341982771<22> * 25602601418102182972721<23> * 6628925590922901572512321<25> * 193428272579096534429098931<27> * 500989149202714474584144001<27> * 803454205095303821868753731<27> * 302841383970711301680945052526521<33> * 3203031926532314264104769060847481<34> * 4411922770996074109644535362851087<34> * 219734968010040680865912320713950289<36> * 104120568827856356216891091637981484179<39> * 5397511769683444928966129716536741688329069042441479613115913313907895924533<76> * 412943108813978385999641617982242667485519119709940711942693553709517240114281629255685010553886849303<102> * 195536788296069646441612538004667920689480607938818585757708176337130353156036650166508246335832764566608042973<111> * 1174468140649914584097264138153408637853221082957239399275046690523556598768034374284436218737159495708861498925726659983288086179744161<136> * [3349838759...<424>] * 1372785208...<440> * [5997941054...<837>] * [1099999999...<6497>] * [5687180096...<12987>] * [9091000000...<25984>] * [1098890109...<51969>] (1.31%)
10^100006+1 = 1000000000...<100007> = 101 * 2049349 * 3000181 * 93386564913748719489800681<26> * 483128549554512237305554588359039822397307149685578249<54> * [1060215686...<3199>] * [3366463556...<96714>] (0.09%)
10^100007+1 = 1000000000...<100008> = 11 * 2063 * 102527361354613106010527<24> * 323338434891034089173475790125293<33> * 27422699366054621683295623079471066588881<41> * [4406645220...<1027>] * [1099999999...<98881>] (0.10%)
10^100008+1 = 1000000000...<100009> = 17 * 433 * 8929 * 200017 * 266689 * 5882353 * 15534577 * 5490283633<10> * 11910552769<11> * 28240268374081<14> * 9999999900000001<16> * 8222818400641693169441<22> * 491413179769291800875985377355914924161<39> * 111994624258035614290513943330720125433979169<45> * 42329002505294251119371713750694841859239120433<47> * 111026658464799772810971884821271839945529173378999198369<57> * [2215055006...<3665>] * [1327779875...<7374>] * [3218352862...<22164>] * [8395915952...<66518>] (0.29%)
10^100009+1 = 1000000000...<100010> = 11 * 197 * 859 * 3823 * 4397 * 15289 * 32971 * 73477 * 92317 * 583727 * 909091 * 1646303 * 3448663 * 3641773 * 21705503 * 69129299 * 1058313049<10> * 641599138727<12> * 2545650309889<13> * 24847037583161<14> * 1003409362715761<16> * 281711192047033009<18> * 5076141624365532994918781726395939035533<40> * 1727311850410986782582477577505934019333847<43> * 50678387411703889101759125785290439894389920385627096501794498837<65> * 56772494575417679209143612613936371702842084190817259161711159777577563483338093894447335028905724214106839545113870547643014663862360146330362411<146> * 9904804597...<454> * [3800239951...<913>] * [3663977254...<1831>] * [9485676053...<6518>] * [9090910000...<11232>] * [1558605427...<78613>] (0.90%)
10^100010+1 = 1000000000...<100011> = 101 * 2741 * 3541 * 8221 * 27961 * 5911541 * 28082809 * 718606649 * 3280528021<10> * 16109090749<11> * 40160350429<11> * 48977697281<11> * 306881485081<12> * 16692085818029<14> * 25667599314241<14> * 318831012420101<15> * 405007685327621<15> * 5774294197526381<16> * 226156389267388981<18> * 1127464840979776921<19> * 1574095173557315161<19> * 8383648187691944581<19> * 665787365080314723361<21> * 14947162642878875393981<23> * 3791567446721424644978141<25> * 182202742802607835615596881<27> * 4941698957237831273165154533595725287181<40> * 430290068517717503314541569581514324311872414409341453561896330801<66> * 11621897163409200201223887528138662702903389700229845471814520224606678003269<77> * 9537037576103752545861071409967321761728999089417907986752766348817191016093460769<82> * 1651732052430074361873884440693609861769561877782463897348222686035759826875067120033981<88> * 178720049686128661890023146702383771619725932844782734965468342419910154928823674286045929<90> * 793084462855827171335753970699020081002924981454056931498319132299844099185216484891923333424235138982063044398547237214483804048283583256988890615083783536750038581006589754338020321<183> * 11260112207896040874002007107014124774805761321095776797478182328172015176628222795012170990924732503802736103829932798737583983791138174340456766434684366622613096537908123588539155307167594701<194> * [3930789898...<523>] * [1393355863...<531>] * [3216845853...<19538>] * [5155395865...<39105>] * [2796100000...<39169>] (1.15%)
10^100011+1 = 1000000000...<100012> = 7 * 11 * 13 * 103 * 223 * 1259 * 3499 * 4013 * 4663 * 5407 * 7253 * 46853 * 56611 * 124339 * 200023 * 2784091 * 7600837 * 8977459 * 27013783 * 28478809 * 32936957 * 21993833369<11> * 28827103967<11> * 31565666437<11> * 40893697813<11> * 187970180329<12> * 291078844423<12> * 293448558811<12> * 3586448252081<13> * 29196464791223<14> * 54137839415767<14> * 302782446205819<15> * 422650073734453<15> * 296557347313446299<18> * 135854006382839702339<21> * 377526955309799110357<21> * 917813298871770308465539<24> * 26526333976234009593263527<26> * 803352514304717509522913779<27> * 8558521377558885170560719135529<31> * 21606064498691505246200058094681<32> * 48911689110891303706174193415115219<35> * 9090909090909090909090909090909090909090909090909091<52> * [1793204977...<541>] * [1524674330...<817>] * [5477830437...<1136>] * [1068384294...<1615>] * [6518539427...<1854>] * [9100000000...<3744>] * [5274664238...<29898>] * [3629342165...<59890>] (0.52%)
10^100012+1 = 1000000000...<100013> = 73 * 137 * 617 * 12401489 * 5439052609<10> * 1004939178233<13> * 2999683797882171117794957593<28> * 16205834846012967584927082656402106953<38> * [3333351370...<9061>] * [1475389055...<90852>] (0.10%)
10^100013+1 = 1000000000...<100014> = 11 * 1237 * 44092859 * 48812171 * 102860539 * 984385009 * 612053256358933<15> * 8392200095843491<16> * 182725114866521155647161<24> * 1471865453993855302660887614137521979<37> * [2219235344...<947>] * [1099999999...<98941>] (0.13%)
10^100014+1 = 1000000000...<100015> = 101 * 5689 * 9901 * 10429 * 132721 * 200029 * 5867489 * 26203669 * 1677004369<10> * 386959166701<12> * 507998564486483655774880939989709<33> * 303066247254931709383875352640800481<36> * 99707249976318584149879765693999680809341<41> * 646301962916453492325383567253991760083617720844121<51> * 530084044837791203267418958734478905892862260111193658629289735929681<69> * 7296903902...<303> * 3276531267...<344> * [6022637797...<831>] * [6569116816...<32746>] * [1279148475...<65504>] (0.93%)
10^100015+1 = 1000000000...<100016> = 11 * 167 * 997 * 2411 * 9091 * 11087 * 116201 * 140263 * 3565183 * 15616801 * 20793481 * 21403211 * 374425451 * 2097307081<10> * 8082612211<10> * 2451656293291<13> * 166118970220264489<18> * 7742098247001476863<19> * 2065548882433064749302848511798666276437<40> * 166854369766695909292136736839975373279641<42> * 339253988826893206353360433625657116128281<42> * 943176903141330068482602900960294299878841<42> * 10734328616712968433093169061034947601976065423298090207036703<62> * 158715941546670849311391020024189333149081432811742569113700460903741956467151269742335031378183866433849119125209<114> * [4466327524...<232>] * [1404985543...<943>] * [1099999999...<19681>] * [2143489682...<78691>] (0.47%)
10^100016+1 = 1000000000...<100017> = 353 * 449 * 641 * 673 * 1409 * 4513 * 69857 * 200033 * 1863457 * 3031489 * 14117153 * 502280353 * 35983288321<11> * 43735845217<11> * 167032623073<12> * 795439669537<12> * 2062979799392641<16> * 6007240825571329<16> * 253008419987866863713<21> * 1243901356065474275689633<25> * 312910899745589556275258593<27> * 19707705753382679457016969672961<32> * 217860610452031121598489279950204653537<39> * 155944009296214054100626916003794407157304353<45> * 57060943016570586495482365104744705358198487226448999934446131233808207036744145484562761542433<95> * 5781027809699670982923066276961517370230745596931095554485247693107795262271528712840958833270594810840162223912128043002803675468602053212831240543425351530884548678958775494494557904673<187> * [8902392316...<694>] * 1178557371...<1700> * [2722980648...<4379>] * [2563947132...<13173>] * [9952957758...<79474>] (2.30%)
10^100017+1 = 1000000000...<100018> = 7 * 11 * 13 * 19 * 44453 * 52579 * [2045060871...<11108>] * [1098901098...<22225>] * [1000999998...<66673>] (0.01%)
10^100018+1 = 1000000000...<100019> = 101 * 338669 * 2923500556298303355222653948542706598448925085853709961673200056984872843366529<79> * [9900990099...<2324>] * [1009999999...<97609>] (0.09%)
10^100019+1 = 1000000000...<100020> = 11 * 131706309584526487<18> * [6902409702...<100001>] (0.02%)
10^100020+1 = 1000000000...<100021> = 73 * 137 * 13337 * 1676321 * 4640929 * 65213041 * 99990001 * 5358271441<10> * 5964848081<10> * 15550149409<11> * 100009999999899989999000000010001<33> * [1615449912...<6654>] * [6431449458...<13318>] * [1533588964...<26649>] * [1866086892...<53303>] (0.10%)
10^100021+1 = 1000000000...<100022> = 11 * 59 * 6899 * 1427887 * 154083204930662557781201849<27> * [9228419543...<3438>] * [1099999999...<96545>] (0.04%)
10^100022+1 = 1000000000...<100023> = 101 * 521 * 2290980829<10> * 3282722041<10> * 37771769501<11> * 62671832465662169<17> * 1900381976777332243781<22> * [1825649687...<7656>] * [3076714956...<92295>] (0.07%)
10^100023+1 = 1000000000...<100024> = 7^2 * 11^2 * 13 * 23 * 127 * 463 * 1733 * 2689 * 4093 * 8317 * 8779 * 24179 * 28579 * 400093 * 459691 * 590437 * 909091 * 7444361 * 36036859 * 599144041 * 784046957 * 932614453 * 183411838171<12> * 55783879554131<14> * 66327179000413<14> * 4539402627853030477<19> * 84117224721504486289<20> * 4924630160315726207887<22> * 7144160276638301161253<22> * 136094982876222218559943<24> * 7261669631404450683741293<25> * 803956626149925031112757148192164970057208483589704631288984124647169634536861236854805849361<93> * 9403727541...<415> * [1098901098...<865>] * [2120337360...<2546>] * [1099999999...<4321>] * [1081823721...<5165>] * [1332158520...<8615>] * [1243263383...<25903>] * [2746613884...<51835>] (0.78%)
10^100024+1 = 1000000000...<100025> = 17 * 5882353 * [9999999900...<100016>] (0.01%)
10^100025+1 = 1000000000...<100026> = 11 * 251 * 5051 * 9091 * 24007 * 360091 * 1800451 * 14603651 * 23525881 * 78875943472201<14> * 3288315716700811<16> * [3786774312...<3996>] * [3948723016...<15972>] * [3803308823...<79987>] (0.07%)
10^100026+1 = 1000000000...<100027> = 101 * 9901 * 22229 * 800209 * 2800729 * 5001301 * 239395561 * 999999000001<12> * 51422976087181949<17> * [1291856608...<11077>] * [1009998990...<22225>] * [2498699383...<66660>] (0.07%)
10^100027+1 = 1000000000...<100028> = 11 * 47 * 139 * 2531 * 8699 * 21188329 * 58518195649<11> * 549797184491917<15> * 17403586346212757<17> * [4842967976...<4310>] * [1099999999...<95657>] (0.06%)
10^100028+1 = 1000000000...<100029> = 73 * 137 * 152533657 * 27772095581292701782049<23> * 65552746171882583264230070868884366877803237222654400793<56> * [3600376525...<5858>] * [1000099999...<94081>] (0.09%)
10^100029+1 = 1000000000...<100030> = 7 * 11 * 13 * 1000291 * 101395729571<12> * 516626178157<12> * 1482406798568976981343<22> * [6048117952...<33310>] * [2126453242...<66667>] (0.05%)
10^100030+1 = 1000000000...<100031> = 29 * 101 * 281 * 421 * 3541 * 27961 * 160049 * 3471301 * 13489841 * 13604081 * 121499449 * 138384361 * 330859229 * 594778381 * 1886965921<10> * 60368344121<11> * 109724947057549<15> * 3129701329553081<16> * 9774023014138989901<19> * 848654483879497562821<21> * 1100087549082723565240291061<28> * [9023463090...<2842>] * [6671305193...<5670>] * [3251023068...<5685>] * [7430052621...<17106>] * [5947527487...<34263>] * [2798897498...<34273>] (0.19%)
10^100031+1 = 1000000000...<100032> = 11 * 20903 * 200063 * 259783 * 909090909090909090909090909090909090909090909090909090909090909091<66> * [1674125326...<1483>] * [5498268045...<98467>] (0.08%)
10^100032+1 = 1000000000...<100033> = 3457 * 12289 * 418725889 * 1265011073<10> * 15343168188889137818369<23> * 515217525265213267447869906815873<33> * 338579887181973006729167651681190977281<39> * 16603249990114694613009401045119923580957837937462177950368477911534904193<74> * [9999999999...<33280>] * [1000000000...<66561>] (0.19%)
10^100033+1 = 1000000000...<100034> = 11 * 265957 * 2200727 * 63716179 * 116011189311149998139<21> * 272828068791212993437<21> * 566182860314268445323284219<27> * 301525294918950432087520298129941558711551656822567015411<57> * 14950128044255312629457887411604300692966728690551568705030373<62> * 6037250154...<566> * [4998348273...<99262>] (0.77%)
10^100034+1 = 1000000000...<100035> = 89 * 101 * 44942549 * 1052788969<10> * 1056689261<10> * 4054196141<10> * 52277464296641<14> * 2003415859958656298341<22> * 34018425575174140525589641<26> * [7973166846...<9028>] * [1931998832...<90907>] (0.10%)
10^100035+1 = 1000000000...<100036> = 7 * 11 * 13^2 * 19^2 * 131 * 157 * 211 * 241 * 571 * 811 * 859 * 1171 * 1459 * 2053 * 2161 * 4447 * 6397 * 6481 * 7411 * 9091 * 10531 * 13339 * 15601 * 29611 * 52579 * 214891 * 216451 * 333451 * 461917 * 480169 * 564409 * 592489 * 800281 * 911899 * 925081 * 1160407 * 1458973 * 2667601 * 3425131 * 3762091 * 4617001 * 38816051 * 60034573 * 70541929 * 82266809 * 529465249 * 795750211 * 862126201 * 1058313049<10> * 2458921051<10> * 4410785971<10> * 8190425647<10> * 14175966169<11> * 60966262009<11> * 88308289681<11> * 213872067091<12> * 388847808493<12> * 577603663291<12> * 595904172463<12> * 597371740291<12> * 1812604116731<13> * 2911579215499<13> * 8985695684401<13> * 30742515591607<14> * 31023833790241<14> * 37588147236251<14> * 75417940111411<14> * 121450506296081<15> * 252914652748369<15> * 384171943341499<15> * 584451536729131<15> * 1186198372859761<16> * 3663186671831779<16> * 456502382570032651<18> * 806455612111546801<18> * 909090909090909091<18> * 2489470279262672161<19> * 11382273828031938028891<23> * 610600386089858349939139<24> * 14414095430001490451144281<26> * 43135513763991692454656851<26> * 223511343531391476730446841<27> * 262000063548449074471189321<27> * 307010852070382484317401373<27> * 28821826124280860786408658529<29> * 115690846857912397278375911371<30> * 383854742458924623593660909731<30> * 753201806271328462547977919407<30> * 676949894797134696311042616530611<33> * 2081121974622478917536610465323067241<37> * 46635050852360904199280507869249164331<38> * 42205061987709682564862818573232169212851<41> * 8610583349234340055547908764091017276717091<43> * 4996731930447843676185843959746621491531100801<46> * 8396862596258693901610602298557167100076327481<46> * 6508684267533856834852965580950145565983063793936631379<55> * 36096800156828895568286578224818258719817914995401933354161<59> * 6862390300547244074038319769783944997739006024946890580945655121<64> * 1377206548249672561974389193550868011092077967769298773550347641588817070607865681921<85> * 63054129911571801941639263405768461425999152026392552531582926655481271974023945336611<86> * 36184868586619075547214474979916728567474724193812138011846129157788970353909164911894611<89> * 3245978377655567212760904825925262846295198021902309330517162600205414882257480287263152055681<94> * 438725907577156177685201819419114255533305134233669402807964649891016719989703392491612289098617653<99> * 785169466067103922302074341602058239426162618120338520239766767222347973614225900721518268190627331693<102> * 8000274558764048855772521798953431026754861120047615036248955653510671403655103704934457289394961420440781989755335177962505013085247<133> * 116553245675747990053550666471392036998128264996743658407213899807766470097615620385381776017458111596045030580889722035579568124447161618179385677781172869761612071347234707389515207957110906497851<198> * 9550200998...<273> * [1087691571...<331>] * 2368731022...<418> * 1942939735...<637> * [2316899997...<800>] * [2418581565...<851>] * [1000000000...<973>] * [3006666671...<1245>] * [1256675757...<1288>] * [2177526315...<1665>] * [3624340487...<2562>] * [2138006341...<3868>] * [2421840377...<3872>] * [1000999998...<5185>] * [4802440011...<11640>] * [5020226392...<15535>] * [1000000000...<46657>] (3.57%)
10^100036+1 = 1000000000...<100037> = 73 * 137 * 158777 * 2470553 * 92632777057601349353<20> * 118638175449391414217<21> * 1125096610491026258717069231764777<34> * 205634535002357125750465106981645977<36> * [2581359359...<292>] * [3597266234...<1081>] * [1079639444...<98541>] (0.12%)
10^100037+1 = 1000000000...<100038> = 11 * 240437 * 909091 * 1548961 * 1829249 * 3181823 * 1142669053<10> * 7356327287<10> * 2894359129691<13> * 313360308665807383<18> * 1661630392867152641<19> * 579210707460230341693<21> * 128829082231486522882411<24> * 90750410387663369945496340727<29> * 909090909090909090909090909091<30> * 22059227904420770836064175243763866620796477930349180699067305041042773585346008483552759881065631106663670362701807674552261329<128> * [9090909090...<460>] * [1155085372...<2697>] * [2809127935...<13753>] * [9090910000...<82800>] (0.33%)
10^100038+1 = 1000000000...<100039> = 101 * 9901 * 657722165417189<15> * [1505345360...<33330>] * [1009998990...<66689>] (0.02%)
10^100039+1 = 1000000000...<100040> = 11 * 2819 * 290249 * 1079820967<10> * 8902470611<10> * 541904753824920169979<21> * 911803204115064548437<21> * 31321069464181068355415209323405389541706979493156189716729115659<65> * [6526617545...<1363>] * [1144274923...<98542>] (0.14%)
10^100040+1 = 1000000000...<100041> = 17 * 977 * 1180961 * 5070721 * 5882353 * 147659041 * 2201280161<10> * 6051298241<10> * 277094033297<12> * 48656086054529<14> * 360054243311681<15> * 967901760520372289<18> * 7849115417706986501273297<25> * 19721061166646717498359681<26> * 12126864657751886263647243158401<32> * 669995415570582921859463287135169<33> * 1333621378380781329750868926173511152429445865079521<52> * 18798124481332409484502894235050519095834690259132073729<56> * 38497687061346649817295117852968299620995218286740952471394479857<65> * 700476027172473264821209766822521514054070905466845296151892613951533187603891645634196734073741683247230607581692473423461149663662946076318737<144> * 8330524721...<352> * [1000000009...<1281>] * [8467680219...<1914>] * [1002316539...<19175>] * [3076554640...<76783>] (0.89%)
10^100041+1 = 1000000000...<100042> = 7 * 11 * 13 * 600247 * 20875223 * 157264453 * 703335916211<12> * 1060626278557<13> * [9725703255...<33309>] * [6987600045...<66684>] (0.05%)
10^100042+1 = 1000000000...<100043> = 101 * [9900990099...<100040>] (0.00%)
10^100043+1 = 1000000000...<100044> = 11 * 200087 * [4543478132...<100037>] (0.01%)
10^100044+1 = 1000000000...<100045> = 73 * 137 * 3169 * 7841 * 66697 * 98641 * 447817 * 476401 * 1229113 * 6002641 * 9108769 * 99990001 * 1456440553<10> * 11189053009<11> * 20008599913<11> * 41593295521<11> * 4879351846777<13> * 27464052068209<14> * 584015292338393<15> * 3199044596370769<16> * 7817693817639889<16> * 393037462994330449<18> * 603812429055411913<18> * 127522001020150503761<21> * 148029423400750506553<21> * 1047215845035662232073361<25> * 7064204436768358634702473<25> * 1089832791867849323269252313<28> * 84127549110077880819608858067897680511169<41> * 40455276360748528742442560829688448751215185778145671171534342753113<68> * [3945481403...<1557>] * [6203639216...<3137>] * [8762889823...<9453>] * [3254523374...<9471>] * [3747942298...<18981>] * [4997850945...<57014>] (0.43%)
10^100045+1 = 1000000000...<100046> = 11^2 * 23 * 103 * 331 * 1499 * 4013 * 4093 * 5171 * 8779 * 9091 * 28463 * 74687 * 87211 * 192611 * 392263 * 469303 * 795653 * 1800811 * 9426059 * 14042681 * 97844011 * 787223761 * 2607209081<10> * 20163494891<11> * 21993833369<11> * 46952319041<11> * 1284680342573<13> * 1741854737919253<16> * 6315203673292075607<19> * 62078251909267793317<20> * 125797399492676917721<21> * 30328711490376212374561<23> * 318727841165674579776721<24> * 160220794821014452066741918303580917664386555934641<51> * 9140689231828972552925524522037823147045937571379494322686226282352288670801988451<82> * 55957395872359820769658435528889482277826574998014018514928782197341726428854387236670658714503098749571<104> * [4219028723...<415>] * [9091000000...<640>] * [6315107546...<1045>] * [4005619771...<1664>] * [3063539259...<4210>] * [6473835017...<6777>] * [9090909091...<16960>] * [1300957651...<67824>] (0.51%)
10^100046+1 = 1000000000...<100047> = 101 * 1051933244805881<16> * [9412184801...<100029>] (0.02%)
10^100047+1 = 1000000000...<100048> = 7 * 11 * 13 * 3601693 * 43953983 * 300474491 * 602506978583<12> * 48089549270167<14> * [1142455753...<33321>] * [6344555624...<66676>] (0.05%)
10^100048+1 = 1000000000...<100049> = 353 * 449 * 641 * 1409 * 48673 * 69857 * 4202017 * 12359777 * 19725473 * 141402977 * 40336502753<11> * 27401751643969<14> * 754651871841089<15> * 49190086416352961<17> * 57251185374719385038081<23> * 2394873478125117716711137<25> * 5771456256338603632030863713<28> * 33857126287532892390194544682750180705056727269149496594755320455272870740814407021435721731880166393643173336787745221520888878951616858121601<143> * 3378366721...<545> * 1604741613...<2420> * [1000000000...<6913>] * [2379809505...<89850>] (3.29%)
10^100049+1 = 1000000000...<100050> = 11 * 5883081299<10> * [1545263209...<100039>] (0.01%)
10^100050+1 = 1000000000...<100051> = 61 * 101 * 349 * 461 * 601 * 829 * 1289 * 1381 * 1741 * 3541 * 9661 * 9901 * 27961 * 38861 * 52201 * 60101 * 66701 * 118901 * 131101 * 139201 * 261301 * 509681 * 591601 * 618049 * 997369 * 1040521 * 1507421 * 1569889 * 1880941 * 2392501 * 3488701 * 3903901 * 4188901 * 7019801 * 9161101 * 28396801 * 39526741 * 44293441 * 46659841 * 61092601 * 62056301 * 169745701 * 350575201 * 682220941 * 904318601 * 93744372901<11> * 168290119201<12> * 566489903401<12> * 617347181401<12> * 1970429073901<13> * 4107757827661<13> * 5730569959721<13> * 14103673319201<14> * 18371524594609<14> * 32967030717721<14> * 66896398043281<14> * 73019536365089<14> * 180218186261101<15> * 400450755477401<15> * 667235003016121<15> * 1680588011350901<16> * 6193371433274461<16> * 15565833747318241<17> * 536430531035337769<18> * 936682576624695001<18> * 1432932516494710801<19> * 2102595954900526861<19> * 8225357978845859081<19> * 16637631264355748201<20> * 18748796798446051801<20> * 25074091038628125301<20> * 122678497066960463501<21> * 297539144610727899181<21> * 439120676164610394481<21> * 757108543129939106221<21> * 1767955366388381478541<22> * 13711691889120319921601<23> * 63691382029918881694921<23> * 157002934023127338801841<24> * 751548568065197502708781<24> * 37949859494080304274482401<26> * 59483540558994759763795801<26> * 316699822269639096888937801<27> * 4181003300071669867932658901<28> * 354969305477178480614478251861<30> * 2122059937446676383606257085781<31> * 4477350074169470752905544969081<31> * 14087942679857610940613213182901<32> * 18769033515469256054311509073901<32> * 38654658795718156456729958859629701<35> * 114061789660900413328637822705950861<36> * 925473240150495502771483432977308389<36> * 53836677179343252802536411876638569921<38> * 73137716939443396538710479664316724061<38> * 19108466176791400681292709171992566565029<41> * 800347835624048997614541100944192471049901<42> * 11811806375201836408679635736258669583187541<44> * 1088692523027573678098234350084974616005410140417841<52> * 870647723077443424730240122490394960350773424147330153671641266669332491181<75> * 2004594328563924403139229874961691116225480361118012967681424919657782526297077161<82> * 2022907403453455435045739409943184658625113693600363497128797657397794468271632034457525101<91> * 204242351548925251893633264773947067986088317488293580275772558732707021165093113635856162801<93> * 38500497070688096027556817882565728990416892548263819672284096593431517949011701136219584563960572421<101> * 3416328483006512256320335979072423448945322454006830297255949627404017992115810552611056496561408407441<103> * 26636991712927480521302468238210196842574038046073718232654640482565934665811782665421629637128815459489120609513028739841141750121254557418299333497201<152> * [3354436479...<327>] * [7462074404...<408>] * [9668803101...<527>] * [2121330493...<541>] * [1359139466...<849>] * [9900498997...<880>] * [1264317985...<1078>] * [6495258808...<1105>] * [1371655367...<1199>] * [3003303538...<2451>] * [6179141036...<2451>] * [2687211502...<2459>] * [2709061631...<4884>] * [5793832851...<4919>] * [1641357680...<12307>] * [2881122788...<12312>] * [5633603576...<24577>] * [9900498998...<24640>] (2.14%)
10^100051+1 = 1000000000...<100052> = 11 * 57173 * 909091 * 4630933 * 9776413 * 34617647 * 430819607 * 75862270037<11> * [3512111507...<14274>] * [9722407108...<85725>] (0.05%)
10^100052+1 = 1000000000...<100053> = 73 * 137 * 13807177 * 20410609 * 604174407409<12> * 94537578591193<14> * [6211963826...<100008>] (0.04%)
10^100053+1 = 1000000000...<100054> = 7 * 11 * 13 * 19 * 52579 * 2826497251<10> * 6006715207<10> * 48531307969<11> * 78867170335046939<17> * 133810431511298675249<21> * [8614321663...<11079>] * [1829454304...<22223>] * [7297322054...<66676>] (0.08%)
10^100054+1 = 1000000000...<100055> = 101 * 94789 * 1215961529<10> * 3554434455787169<16> * 722817036322379041<18> * 1369778187490592461<19> * [2416742278...<5235>] * [1009999999...<94753>] (0.07%)
10^100055+1 = 1000000000...<100056> = 11 * 9091 * 8004401 * 232647887 * [3907582917...<20002>] * [1374230251...<80034>] (0.02%)
10^100056+1 = 1000000000...<100057> = 17 * 1455361 * 5882353 * 10100113 * 75169404641<11> * 9999999900000001<16> * 75675153541982860202858401<26> * 293041344572790863683518193<27> * 11786300284844910479546815969<29> * 9900879227786858424257223656804730798555422102713108259184822982673560177<73> * 11211641228630565679165073415717349211301068854209340842417386559363002502053200017505737086336239008966529<107> * [9999999900...<3024>] * [2344770671...<6016>] * [1330328495...<30230>] * [9999999900...<60480>] (0.31%)
10^100057+1 = 1000000000...<100058> = 11 * 4002281 * 22104392327<11> * [1027593048...<100040>] (0.02%)
10^100058+1 = 1000000000...<100059> = 29 * 101 * 281 * 171529 * 121499449 * 2655866041<10> * 8883034889<10> * 999999999999990000000000000099999999999999000000000000009999999999999900000000000001<84> * [3727970442...<2031>] * [6628609733...<12225>] * [1000000000...<85681>] (0.12%)
10^100059+1 = 1000000000...<100060> = 7 * 11 * 13 * 1667651 * 987582331 * [5451325901...<33346>] * [1112718468...<66696>] (0.02%)
10^100060+1 = 1000000000...<100061> = 73 * 137 * 1676321 * 5964848081<10> * 2471264389513<13> * 84803870101749580789433<23> * [4771134827...<19973>] * [1000099999...<80033>] (0.06%)
10^100061+1 = 1000000000...<100062> = 11 * 859 * 2237 * 57009401 * 186313583 * 1058313049<10> * 2182600451<10> * 7124771369<10> * 109768575191242813<18> * 14550099358549973393423<23> * 7306116556571817748755241<25> * 5221433280338766111384556031249<31> * 523661705392754764972834211810001059<36> * 17360270948380236765442123580448180934246742941840774929827069381097446101825710313953633305039247538221205037054245870292654737645806593390849<143> * [4917299955...<501>] * [9666689444...<2087>] * [1130728749...<7438>] * [9090909090...<89712>] (0.32%)
10^100062+1 = 1000000000...<100063> = 101 * 109^2 * 409 * 3061 * 9901 * 20929 * 54469 * 143881 * 153469 * 400249 * 3179749 * 3402109 * 5969449 * 26082829 * 28559389 * 134703241 * 158963941 * 309825961 * 1491383821<10> * 33374345941<11> * 115270627429<12> * 576562011661<12> * 999999000001<12> * 2709009355501<13> * 3626707988341<13> * 225974065503889<15> * 547865558923909<15> * 2324557465671829<16> * 31439160336733424929<20> * 49369369412784246809<20> * 157538980319816607121<21> * 2731826794996410180301<22> * 10114560305121789749161<23> * 26574836366263859584549<23> * 35701893527078181712481<23> * 846160494149365798478410729<27> * 44398000479007997569751764249<29> * 59779577156334533866654838281<29> * 112544281755782732673671367061<30> * 783547101206294913371101984838610145434601594940320359051755346054094539252541<78> * 186542533208908650296535628715346860095610970570440898568725754271736032193933900171521062975638672064604619723224194512848019552268302687189633740722184126124790381<165> * [6178299246...<356>] * 1000000000...<577> * [1000000999...<1297>] * [2523429165...<3451>] * [5758737852...<3831>] * [1193799869...<6899>] * [2996310404...<20726>] * [2939353207...<62202>] (1.30%)
10^100063+1 = 1000000000...<100064> = 11 * 4259 * 6299 * 12007561 * 8809946773<10> * 172250939131<12> * 363362606514287<15> * 4855067598095567<16> * 137537254457619255028472939<27> * 297262705009139006771611927<27> * [9009853423...<2087>] * [2861701734...<97857>] (0.12%)
10^100064+1 = 1000000000...<100065> = 19841 * 78017 * 976193 * 6187457 * 88094081 * 1130028555713<13> * 834427406578561<15> * 4175746759998991937<19> * 13995884979019493626264877987656961<35> * [2193189894...<1607>] * [1135150044...<1849>] * [8849333894...<96500>] (0.11%)
10^100065+1 = 1000000000...<100066> = 7^2 * 11 * 13 * 127 * 211 * 241 * 2161 * 2689 * 9091 * 200131 * 459691 * 571801 * 909091 * 4147571 * 64922173 * 86913601 * 110101997 * 169910371 * 2382627703<10> * 22662534413<11> * 29970369241<11> * 527629988143<12> * 97152765745927<14> * 892810263037001<15> * 1661378260814161<16> * 265212793249617641<18> * 2470062217016742967<19> * 10253404535845037851<20> * 18276168846821336356291<23> * 68421264677429209468007<23> * [3440717825...<912>] * [8741238093...<1883>] * [2101435988...<3769>] * [3544693610...<5674>] * [1047027265...<7609>] * [8249516584...<11408>] * [9091000909...<22848>] * [1098890000...<45697>] (0.27%)
10^100066+1 = 1000000000...<100067> = 101 * 1220605069<10> * 770142198787324609<18> * [1053252591...<100038>] (0.03%)
10^100067+1 = 1000000000...<100068> = 11^3 * 23 * 4093 * 4357 * 8779 * 25169 * 54583 * 1485397 * 468313561 * 2476658251<10> * 67367542397<11> * 51568547282476093<17> * 177753903581898557<18> * 102502981431359171598893<24> * 544471001372579296332291652675646774644208265246405598834086237345292487<72> * [2881508311...<807>] * [2198524143...<8222>] * [4037698780...<90851>] (0.19%)
10^100068+1 = 1000000000...<100069> = 73 * 137 * 1489 * 2153 * 21521 * 66713 * 700849 * 2627593 * 11110153 * 60436769 * 99990001 * 5195859817<10> * 5419392721<10> * 6876873097<10> * 640543322297<12> * 1220725699657<13> * 27908132670449<14> * 33116011585441<14> * 42367299139993<14> * 181048756009124007833<21> * 384705444182230291105649<24> * 2943022282018927015773940725270857<34> * 16584440161215846282167330487128069170776821649169<50> * 23140616853203983900922551785166946660605063239337678349130406077337<68> * 97645954668018846467287180866355758374263120864803042536883990817097<68> * 1194053240550935343606131291791034479414833114386116350011658511441777011841<76> * [1289740495...<994>] * [5534702999...<2128>] * [1499108119...<32156>] * [3019385373...<64307>] (0.49%)
10^100069+1 = 1000000000...<100070> = 11 * 400277 * [2271154498...<100063>] (0.01%)
10^100070+1 = 1000000000...<100071> = 101 * 3541 * 27961 * 68520530821<11> * 360014181137445941<18> * 86173349721578324461<20> * 2535592494116390399271209<25> * 75246024714751745451479549<26> * [1441438108...<19945>] * [4150250641...<40004>] * [4121481497...<40014>] (0.11%)
10^100071+1 = 1000000000...<100072> = 7 * 11 * 13 * 19 * 52579 * 5537263 * 1198116727<10> * 398106655183<12> * 2730728650529459111184389887<28> * [6979594611...<11070>] * [1984556447...<22230>] * [1000999998...<66709>] (0.06%)
10^100072+1 = 1000000000...<100073> = 17 * 113 * 600433 * 5882353 * 156112321 * 1538907217<10> * 991557779947841<15> * 73765755896403138401<20> * 196757542241782267095473<24> * 119968369144846370226083377<27> * [5082397241...<14265>] * [6991458879...<85690>] (0.12%)
10^100073+1 = 1000000000...<100074> = 11 * 47 * 139 * 2531 * 711437 * 49235917 * 1737604369<10> * 47212767691<11> * 167674502573<12> * 549797184491917<15> * 909090909090909091<18> * 84435395137042131451<20> * 1446026381377557429343<22> * 32753599226661118472929<23> * 2317091604522004723965449<25> * 3399416765550765170055851<25> * 13698916120719106774003876717<29> * 456434526713811364709322618761<30> * 8157210416556447648087047867900686079357<40> * 22122368173743271094350225612207534262957<41> * 13270807703600518273110858480695033043595534787235597140531<59> * 1336395914067475494619360928220680511145198857935330550248985354190742963795052553003443246310484435548877<106> * [2776379924...<319>] * [5175157573...<4022>] * [1365183994...<4954>] * [1846397842...<90281>] (0.50%)
10^100074+1 = 1000000000...<100075> = 101 * 521 * 3121 * 9901 * 402497629 * 739747009 * 27162085081<11> * 28994563189<11> * 53397071018461<14> * 72291131905901<14> * 184335247215601<15> * 24172791866902681<17> * 1900381976777332243781<22> * 51021605687635486432811040389<29> * 6060517860310398033985611921721<31> * [9258122203...<2511>] * [1038079943...<5104>] * [1365331644...<30760>] * [1977459372...<61512>] (0.19%)
10^100075+1 = 1000000000...<100076> = 11 * 251 * 5051 * 9091 * 120091 * 7805851 * 43032251 * 5762678771<10> * 78875943472201<14> * [1577549166...<3993>] * [9159628948...<16003>] * [2977076683...<80026>] (0.05%)
10^100076+1 = 1000000000...<100077> = 73 * 137 * 200153 * 3746153 * 3921761 * 14010641 * 630678953 * 1254953041<10> * 3988541681<10> * 12889706849<11> * 258416137532916313<18> * 764515044486144085977569<24> * 2575212027850692464577982171078840918884244921649<49> * [3246850456...<416>] * 2070751676...<768> * [1743684367...<98737>] (0.92%)
10^100077+1 = 1000000000...<100078> = 7 * 11 * 13 * 81787987095277<14> * 11732165867335373<17> * [9474135695...<33328>] * [1098901098...<66717>] (0.03%)
10^100078+1 = 1000000000...<100079> = 89 * 101 * 1052788969<10> * 1056689261<10> * [9900990099...<9096>] * [1009999999...<90961>] (0.02%)
10^100079+1 = 1000000000...<100080> = 11 * 59 * 103 * 1973 * 4013 * 19489 * 714851 * 776969 * 909091 * 3464921 * 57759881 * 119226889 * 243720583 * 660662689 * 1868879293<10> * 21993833369<11> * 200921288237<12> * 679911506093<12> * 918776774983<12> * 31208910232441<14> * 40256406669887<14> * 279730811663731<15> * 357849326867899<15> * 2184943628221853<16> * 5708922049340287<16> * 2563963356465898129<19> * 865788741404845009303<21> * 963447803278063011049<21> * 5673320472670315859129<22> * 154083204930662557781201849<27> * 13569612563320403017443683179<29> * 1630777462352881403814023114519396413<37> * 2844366024589741098287806157501475277<37> * 103746647830421551242486430622636901002236971549990724717454338463<66> * 6656280510176649041177006666533233898159823895551612176879783493172755702305410407269034716016715927564139783<109> * 3312754470...<353> * [2978274529...<718>] * [9435809567...<2667>] * [1513631716...<4864>] * [3666249476...<12941>] * [1470779639...<77941>] (0.95%)
10^100080+1 = 1000000000...<100081> = 97 * 353 * 449 * 641 * 1409 * 13249 * 69857 * 177601 * 206209 * 316801 * 386977 * 400321 * 1067329 * 1634881 * 3133441 * 3469441 * 18453761 * 49906561 * 13500880961<11> * 66554101249<11> * 947147262401<12> * 75118313082913<14> * 1950232527894311809<19> * 3427762485430544075935398346603780801<37> * 349954396040122577928041596214187605761<39> * 1786971871341978412769793172635403245447905376001<49> * 315091637261160879997346594408168422516385623286349240690538356681453806401<75> * 70716147055257711374123575798428608590219877617672752248112085912824160137075376116481<86> * [2938875667...<336>] * [2882308706...<2202>] * [1325038358...<4393>] * [7406924058...<8822>] * [1000000000...<13249>] * [5005344605...<17651>] * [9999999999...<52992>] (0.44%)
10^100081+1 = 1000000000...<100082> = 11 * 5245045049<10> * 133167876241<12> * 2670502781396266997<19> * 3404193829806058997303<22> * 3756722594943470463691<22> * [1817183204...<2408>] * [2097217449...<97591>] (0.08%)
10^100082+1 = 1000000000...<100083> = 101 * 1229 * 8441425501<10> * 33402367501<11> * 498698470009<12> * 467043606144413071608209<24> * 76232914055207003005318654163381<32> * 2604342325...<281> * [2043400618...<576>] * [3023737763...<99134>] (0.37%)
10^100083+1 = 1000000000...<100084> = 7 * 11 * 13 * 293 * 877 * 16453 * 1247611 * 3601237 * 2804755241<10> * 24436865779<11> * 199276489717<12> * 247482272761<12> * 10826684964539959837294043117<29> * 5830219322612939561246246317093<31> * 127539278618607069275328998039143<33> * 286578888976194997999922592330908602103011<42> * 3943828696311504418317587369596960932033847171<46> * 61144905745257441183391523202790304609284611733<47> * [1626508293...<436>] * [4197496653...<870>] * [1099999999...<32833>] * [3723881811...<65654>] (0.29%)
10^100084+1 = 1000000000...<100085> = 73 * 137 * 9433 * 161969 * 924874042153<12> * 83572468886561<14> * 8464809710844890517494016141257<31> * [1268362829...<503>] * [7293021137...<724>] * [1081336435...<98789>] (0.07%)
10^100085+1 = 1000000000...<100086> = 11 * 7253 * 9091 * 200171 * 560477 * 30345773 * 780228037 * 422650073734453<15> * 13966350372352211<17> * 49173925574833481<17> * 296557347313446299<18> * 22350974299077144034230465505681<32> * 22369355044392829576198363935261212146051995578845131526611800779453430519897692892453842577603840415445414697342892679968594131<128> * [1165160524...<532>] * [3523781329...<2113>] * [6467503687...<19427>] * [4541616917...<77755>] (0.26%)
10^100086+1 = 1000000000...<100087> = 29 * 101 * 281 * 9901 * 226549 * 121499449 * 2050406501081<13> * 60268071698495809<17> * 4458192223320340849<19> * [8012192218...<4735>] * [1009998990...<9529>] * [1009999999...<28585>] * [9901000000...<57168>] (0.07%)
10^100087+1 = 1000000000...<100088> = 11 * 859 * 167360863 * 1058313049<10> * 89183229659<11> * [6090742126...<7679>] * [1099999999...<92377>] (0.03%)
10^100088+1 = 1000000000...<100089> = 17 * 200177 * 5882353 * 55157896273<11> * [9056869823...<100064>] (0.02%)
10^100089+1 = 1000000000...<100090> = 7 * 11^2 * 13 * 19 * 23 * 4093 * 7129 * 8779 * 52579 * 121321 * 566161 * 1401247 * 2838889 * 70541929 * 599144041 * 2251702571<10> * 4213146367<10> * 7093127053<10> * 14175966169<11> * 26309261089<11> * 183411838171<12> * 1227077928253<13> * 1266135577169<13> * 1795235500603453<16> * 1992353727351329<16> * 1638838389679532281<19> * 584836120439597163259<21> * 55027074590990508852961<23> * 2406728090811807756161281<25> * 8927244623941181398233253<25> * 2962107517213815023644693237<28> * 1866763546567680996103417376059<31> * 71489171229856447321502908314697600957469967193571<50> * 141122524877886182282233539317796144938305111168717<51> * 1687858617956114857563779160203327248258725852773131<52> * 112970308382439859401726947341740704554951737408511354573<57> * 621229558894454367540891695929541003114293128504188334503<57> * 74507557122096964531006066514788984423438931950911932421947947339<65> * 102628202728030891704336946143527067063502899291229635778464234241801<69> * 7861197759376969310871284581062232753724157295719665271243468634881392447<73> * [2741158035...<609>] * [1340222837...<2000>] * [4360597749...<3333>] * [3375974690...<6021>] * [1555991444...<6700>] * [2371151896...<20151>] * [5815849497...<60462>] (0.82%)
10^100090+1 = 1000000000...<100091> = 101 * 3541 * 27961 * 1601441 * 3012709001<10> * 279272239009<12> * 453769225081<12> * 138132122754262934582561<24> * [3545282601...<20005>] * [5705813551...<39997>] * [5853369565...<40017>] (0.07%)
10^100091+1 = 1000000000...<100092> = 11 * 607 * 809 * 1213 * 200183 * 154326449 * 1040954329<10> * 1327067281<10> * 769150565783664091847<21> * 11500490394117824585468796003575163076836624586334794818271756072956027758946488969<83> * 7357392275...<952> * [5494972100...<98995>] (1.10%)
10^100092+1 = 1000000000...<100093> = 73 * 137 * 457 * 27817 * 175601 * 1403417 * 99990001 * 376102873 * 2836607281<10> * 36120612721<11> * 5240808656722481737<19> * 47895153361984879441753<23> * 13591271120229398317886003161009<32> * 519869419641421270740861805714609<33> * 297478330786365628414805305290302483555043017<45> * 194720331913760546074906161375930267923071695863299678749187377754543757962841785054377649<90> * [1188879996...<1725>] * [1923752315...<3472>] * [1000099999...<31537>] * [3524985699...<63063>] (0.30%)
10^100093+1 = 1000000000...<100094> = 11 * 1423 * 13757 * 152041 * 909091 * 4573249171<10> * 9615060929<10> * 10170342449<11> * 33141964819<11> * 62095094783<11> * 2374405879931<13> * 2389503487769<13> * 2658556578091<13> * 3737255637179<13> * 2367151836474851<16> * 1467439874822650361<19> * 66443174541490579097997510158021076958392938976011506949065646573<65> * 57813769227978665304109403799291636496876923883191635824278127299864929561<74> * 778918424933155393480511088578762495409547716376329687166271120021739022042090054703<84> * [2894038202...<446>] * [1146122551...<1051>] * [5867872228...<14002>] * [3201291338...<84220>] (0.38%)
10^100094+1 = 1000000000...<100095> = 101 * [9900990099...<100092>] (0.00%)
10^100095+1 = 1000000000...<100096> = 7 * 11 * 13 * 211 * 241 * 2161 * 9091 * 1601521 * 32630971 * 48846361 * 116977691 * 8935838589721<13> * 10307863816609<14> * [9090909090...<6672>] * [1066080342...<13332>] * [3683752535...<26659>] * [1018381308...<53364>] (0.07%)
10^100096+1 = 1000000000...<100097> = 10753 * 11777 * 2350081 * 8253953 * 155690497 * 9524994049<10> * 73171503617<11> * 1616596633...<225> * [4255172481...<4090>] * [5453850386...<5620>] * [1000000000...<90113>] (0.27%)
10^100097+1 = 1000000000...<100098> = 11 * 3545105703277<13> * 10765760180213<14> * 12277415800813<14> * 108135779059331<15> * 180724074168604579796294647309331<33> * 314293140427626491056008875724151058487007<42> * 34156671999167558280316457548021397439888515117317065783422183070342102287109965498971<86> * [9090909090...<502>] * [1017239631...<99383>] (0.21%)
10^100098+1 = 1000000000...<100099> = 101 * 269 * 4021 * 9901 * 29881 * 118189 * 167329 * 1601569 * 1963369 * 14614309 * 260587121 * 630195301 * 999999000001<12> * 1033593699289<13> * 1040877438989<13> * 213172394349469<15> * 94927228208573594069<20> * 329740773458209570441<21> * 440603699857284602629<21> * 411108592242640071999067201<27> * 2302527353565357450759725122262880394277261<43> * 23023967955265160767768376873521136169786061<44> * 16071030565277594576986582552521799177065559188277159741<56> * 4300297028838474156015268798064619519844286165272568941158694953418333634388515222398381949374346543672407516659353137441<121> * 5869910682...<217> * 9771721622...<316> * [3047193799...<758>] * [6065427819...<954>] * [9703351827...<10812>] * [6182062714...<21642>] * [6842602000...<64937>] (1.00%)
10^100099+1 = 1000000000...<100100> = 11 * 12917 * 416818603374264876019<21> * 44935489596001417659641<23> * 271261820148433138705738303<27> * 909090909090909090909090909091<30> * [1385225289...<3155>] * [1099999999...<96841>] (0.10%)
10^100100+1 = 1000000000...<100101> = 73 * 137 * 401 * 617 * 881 * 1201 * 1601 * 2801 * 7841 * 33601 * 574393 * 800801 * 851761 * 1041041 * 1580801 * 1676321 * 10727809 * 119424449 * 286569193 * 487344001 * 1499440801<10> * 1599581201<10> * 5496338401<10> * 5964848081<10> * 24978492001<11> * 507893248801<12> * 832227396001<12> * 2506751895649<13> * 3554426468321<13> * 9218560219441<13> * 29254656783353<14> * 179824257430154401<18> * 380606048723768561<18> * 4077633511342332481<19> * 6585921920284426721<19> * 10370343955722836801<20> * 127522001020150503761<21> * 44202718393805428890161<23> * 503186110849316156410721<24> * 2762055690704528278169201<25> * 3377783567534940293548001<25> * 164832178265399848693779521<27> * 53241089690155545084545617441<29> * 81868477458381370301631377201<29> * 753630841791572038865885886001<30> * 3935108583267695003384801747102801<34> * 16205834846012967584927082656402106953<38> * 120920505705101252491925533049923433521<39> * 632527440202150745090622412245443923049201<42> * 780010410791719540565140196582552053062384449<45> * 175067038724863563854848045107963303611128869041<48> * 6279815040943032407714418831204387527919360005277361<52> * 7523020307427066273763456609903850552762967576510974081<55> * 146922836547557380904624883811070801579636649582426027039761<60> * 129694419029057750551385771184564274499075700947656757821537291527196801<72> * 48651926154169704306969810270043128092917988274505675071805716365801863993<74> * 1236386443286416000845205982296310762602996796920706630693450425385353425494707969<82> * 1174155661036370531158387153086358732085761158354280249987966107746175275693416345665039841<91> * 494989576335933678241287643493876779780477962643805901339815106786961691436729452816424866873<93> * 3117814097707474151636414249725282442495420872481503567637409314701821275097272518686106760443668816338775822931861913879972129<127> * 11351872871736662882973881952326901248582292849023836549375698070374687854710556299659477866174801360953461975027241770726447219069239499432349602724177071521<158> * 2208324408...<419> * 1323226585...<425> * [4003444242...<790>] * [3908685242...<898>] * [2960521241...<936>] * [2304122840...<1093>] * [2791199337...<1846>] * [1363484525...<2855>] * [9999999999...<4800>] * [1467713463...<5720>] * [1978660183...<9573>] * [9606730186...<11514>] * [1248749689...<57595>] (2.48%)