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Factorizations of Phi_n(10) <Page 11>

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Φ1001(10) = 1111110999...<721> = 2003 · 48049 · 9252125311545133037192458425610961276645­9318729<47> · [1247816252...<666>] (7.63%)

Φ1002(10) = 1098901098...<333> = 107154371983<12> · 4551304599799744355996136613<28> · 3373655510986818739235196204547769790250­8313099<47> · 3991682749552894902673962957124418797917­278009299<49> · 1673231604783581202191614925998671476588­0504506685421534879636783942469103682008­1117874949263758935227680048722737445473­4584105258179583258226198219279441096528­046762469147380935906915618783308520809<199>(100.00%)

Φ1003(10) = 9000000000...<928> = 1003001 · 136901477 · 26030787743220035718311<23> · 312364786492896451349063229952945673957<39> · [8060901786...<853>] (8.09%)

Φ1004(10) = 9900990099...<500> = 35141 · 162649 · 117412781 · 877561261 · 7787188843931699008561<22> · 2158935103...<452>(100.00%)

Φ1005(10) = 1109988900...<529> = 5402602770751<13> · 18572574884565149431<20> · [1106225029...<497>] (6.06%)

Φ1006(10) = 9090909090...<502> = [9090909090...<502>] (0.00%)

Φ1007(10) = 9000000000...<936> = 340056616174163627<18> · 27710615804413557042289<23> · 172358178102983968116191222304067<33> · [5541319721...<864>] (7.72%)

Φ1008(10) = 1000000000...<289> = 1114737869182936469693737960974486017089<40> · [8970718835...<249>] (13.56%)

Φ1009(10) = 1111111111...<1009> = 168965123 · 36951371323419830256523<23> · 74060894529000814380797<23> · [2402928830...<955>] (5.32%)

Φ1010(10) = 1099989000...<401> = 178241771 · 1011343309515211<16> · 10013779702381498531<20> · 6093716070...<358>(100.00%)

Φ1011(10) = 9009009009...<672> = 248707 · 12652477149085504014830875594123<32> · [2862947938...<636>] (5.43%)

Φ1012(10) = 1009999999...<441> = 12618302246788689711565695281<29> · 69691163546816853278309618463969524441<38> · [1148531028...<375>] (14.99%)

Φ1013(10) = 1111111111...<1013> = 2027 · 6079 · 196523 · 494468803627<12> · [9279387618...<988>] (2.38%)

Φ1014(10) = 1000000000...<313> = 13 · 15762546853<11> · 112389066692347771<18> · [4342163700...<284>] (9.09%)

Φ1015(10) = 1111099888...<673> = 34511 · 83231 · 257844511 · 2780168231<10> · 557750664523991<15> · 4827809875948348560272055088024895895900­1<41> · [2003970046...<590>] (12.31%)

Φ1016(10) = 9999000099...<504> = 3921761 · 3988541681<10> · 764515044486144085977569<24> · 2575212027850692464577982171078840918884­244921649<49> · [3246850456...<416>] (17.56%)

Φ1017(10) = 9990000009...<672> = 1832705191<10> · 20650382305224541702722991<26> · 3147212159250913115067863413<28> · 1184866983794931351430180741341847600392­37<42> · [7078629210...<569>] (15.35%)

Φ1018(10) = 9090909090...<508> = 1019 · 7127 · [1251775283...<502>] (1.35%)

Φ1019(10) = 1111111111...<1019> = 2039 · 207877 · 2091532147<10> · 20152775761957<14> · 1164875952920329463736875905335015089<37> · 19546240918513258853789109982103832107<38> · [2731438836...<914>] (10.28%)

Φ1020L(10) = 2529932862...<129> = 8161 · 2586721 · 5071197096181<13> · 6778271250833427230755514692133576484914­41<42> · 3486475319440674008607957277969304463510­523376893744438151274361<64>(100.00%)

Φ1020M(10) = 3913542587...<128> = 1021 · 855781 · 1147976358984279587940335423151806637475­42680841<48> · 3901653858374518059866330406674956405263­36339013830593297226360344237401<72>(100.00%)

Φ1021(10) = 1111111111...<1021> = 4073791 · [2727462236...<1014>] (0.65%)

Φ1022(10) = 1099999890...<433> = [1099999890...<433>] (0.00%)

Φ1023(10) = 1109999999...<601> = 14323 · 671988291649812920641<21> · [1153260136...<576>] (4.16%)

Φ1024(10) = 1000000000...<513> = 1514497 · 302078977 · 3611707318387778163302401<25> · [6051994595...<473>] (7.66%)

Φ1025(10) = 9999900000...<800> = 6151 · 267148259201<12> · 24207825527302870064951<23> · [2513864128...<763>] (4.70%)

Φ1026(10) = 1000000000...<325> = 60966262009<11> · 595904172463<12> · 28821826124280860786408658529<29> · 9550200998...<273>(100.00%)

Φ1027(10) = 9000000000...<936> = 79 · 36973 · [3081276894...<930>] (0.69%)

Φ1028(10) = 9900990099...<512> = 1147249 · 14933005561<11> · 116930738941<12> · [4942481101...<485>] (5.33%)

Φ1029(10) = 9999999999...<588> = 195511 · 5601877 · 627317574031<12> · 148172112555338929<18> · 3490768024601785172710639399<28> · 5251883801810361738321967993835730178938­8002597<47> · [5358030840...<473>] (19.60%)

Φ1030(10) = 1099989000...<409> = 7211 · 497491 · 569836171 · 2013681931<10> · 567664121498896654896380203841<30> · 896048585318577702680084550566846611<36> · 2040619763175137074842000959911624010859­536873041143037361<58> · 1657969142449522781178526791145290638579­81242517889432600011<60> · [1552763077...<199>] (51.43%)

Φ1031(10) = 1111111111...<1031> = 1111111111...<1031>(100.00%)

Φ1032(10) = 1000099999...<337> = 1033 · 1549033 · 5182673393399113<16> · 2495954708243557026161099704758223677054­8713<44> · 4831610257...<268>(100.00%)

Φ1033(10) = 1111111111...<1033> = 4133 · 91141591 · 5491748231<10> · 11260653374091533<17> · 6233985452496976734761<22> · 4373965078767799648655507<25> · [1749283400...<949>] (8.12%)

Φ1034(10) = 1099999999...<461> = 61007 · 1677113809386268722922187052796817841111­5969<44> · 1075104008...<413>(100.00%)

Φ1035(10) = 1001000999...<529> = 9977093641<10> · 2663723102675119512509797649863842906582­2390561311<50> · [3766529607...<469>] (11.25%)

Φ1036(10) = 1009999999...<433> = 9392332326728043169<19> · 4854742668404878074271409128116889281113­614904383409<52> · [2215040689...<362>] (16.36%)

Φ1037(10) = 9000000000...<960> = 5333477295952381129<19> · [1687454450...<942>] (1.95%)

Φ1038(10) = 1098901098...<345> = 447112926793237<15> · [2457770806...<330>] (4.26%)

Φ1039(10) = 1111111111...<1039> = 445201111 · 14238624319<11> · 1141275956307919<16> · 1535827896...<1005>(100.00%)

Φ1040(10) = 1000000009...<385> = 2081 · 6160961 · 14852911841<11> · [5251312472...<364>] (5.28%)

Φ1041(10) = 9009009009...<692> = 2083 · 8329 · 387498606374535498907<21> · 577252559308332845030620001242246603<36> · 1225538270501680836617623745656594201<37> · [1894226898...<593>] (14.41%)

Φ1042(10) = 9090909090...<520> = 47933 · [1896586712...<516>] (0.90%)

Φ1043(10) = 9000000900...<888> = 719671 · 598859311 · 270280335319<12> · 144365952204517<15> · [5351857178...<848>] (4.53%)

Φ1044(10) = 1000000999...<337> = 2089 · 31753261 · 1108860589<10> · 1452031741<10> · 803137587589<12> · 650879996698098220470166549<27> · 6056737037810293115984257165034255830432­2238516849<50> · 2957270207...<219>(100.00%)

Φ1045(10) = 1111099999...<721> = 6271 · 27400787294560871386457792195718029231<38> · 6065907141857527262259770236059489417807­8191<44> · [1066000841...<636>] (11.81%)

Φ1046(10) = 9090909090...<522> = 3920488472716099<16> · [2318820512...<507>] (2.99%)

Φ1047(10) = 9009009009...<696> = 37693 · 345511 · [6917583948...<686>] (1.45%)

Φ1048(10) = 9999000099...<520> = 9433 · 83572468886561<14> · [1268362829...<503>] (3.44%)

Φ1049(10) = 1111111111...<1049> = 71333 · 144763 · 62186482321<11> · 443749299080176592307442853<27> · [3899202189...<1001>] (4.53%)

Φ1050(10) = 9999900001...<240> = 1051 · 3146327779391852182051<22> · 22771401850597648936801<23> · 17911809459808314248342142601<29> · 2497196984921216324165698954266700684929­8004553698828087959894069143145851<74> · 2968977772769512973288048599442977679186­2651873860748152980797376212977017452165­562616616651<92>(100.00%)

Φ1051(10) = 1111111111...<1051> = 333094661773<12> · 1058180967587981393634282624393503339168­41<42> · [3152316911...<998>] (5.00%)

Φ1052(10) = 9900990099...<524> = 5261 · 119929 · 13268398183394556944627542607703521<35> · [1182680989...<482>] (8.19%)

Φ1053(10) = 9999999999...<648> = 330643 · [3024410013...<643>] (0.85%)

Φ1054(10) = 1099999999...<481> = 2511017297567032888250549092510706855294­9771<44> · [4380694633...<437>] (9.04%)

Φ1055(10) = 9000090000...<840> = 2111 · 101281 · [4209501207...<832>] (0.99%)

Φ1056(10) = 1000000000...<321> = 123553 · [8093692585...<315>] (1.59%)

Φ1057(10) = 9000000900...<900> = 3118151 · 11649522932362334200609<23> · [2477634670...<872>] (3.17%)

Φ1058(10) = 9999999999...<506> = 49488508644018419<17> · [2020671116...<490>] (3.30%)

Φ1059(10) = 9009009009...<704> = 137079079 · 276218418252581926399<21> · 2691389034550013371833520881354751<34> · 1884505979030564450620846275681367493689­3<41> · [4691148825...<602>] (14.53%)

Φ1060L(10) = 2824060999...<209> = 10601 · 5087682140647502286078523305727177388588­041<43> · 1866584856050670751142049533200645741569­755944852998334484263922627299824538001<79> · 2805172226286031223906866144391265007990­6143641242161486831807501297209415587830­6621<84>(100.00%)

Φ1060M(10) = 3576409999...<208> = 4241 · 1103461 · 2253478948152507048106614680282420963102­9690388674663333618185041786620876200193­924826168812981<95> · 3391318151708470770070462076151542769062­2077866060861977911749380448408900845560­502173926937552593567761<104>(100.00%)

Φ1061(10) = 1111111111...<1061> = 50015590757348761<17> · 65226759299076013<17> · 687255679689046913143129<24> · 164646584836730490726437446832351<33> · 38588165982924330413786358177987183853<38> · 7800116398...<933>(100.00%)

Φ1062(10) = 1000999998...<349> = 1063 · 6373 · 2208217663<10> · 1270660938013<13> · 22554758909969009407<20> · 1497569426218349119084237939<28> · 216300405364911283995901633078340436727<39> · [7207801995...<235>] (32.51%)

Φ1063(10) = 1111111111...<1063> = 4253 · 1166805536997844883<19> · 97084995925935672818356361735759682107<38> · [2306277222...<1003>] (5.62%)

Φ1064(10) = 1000099999...<433> = 260827749862793<15> · [3834331280...<418>] (3.34%)

Φ1065(10) = 1109988900...<561> = 3971640026438261301250879548786024407872­45257923521<51> · [2794787273...<510>] (9.03%)

Φ1066(10) = 1099999999...<481> = 20289179 · 353260760112204881<18> · 5780277672136021382565530998301988506064­011453<46> · [2655119735...<410>] (14.71%)

Φ1067(10) = 9000000000...<960> = 293591453 · 327589667791<12> · 4891631790897439203199<22> · 1913000778...<919>(100.00%)

Φ1068(10) = 1009998990...<353> = 1069 · 8338455354433852286576936946666728783553­49<42> · [1133072310...<308>] (12.77%)

Φ1069(10) = 1111111111...<1069> = 782597797 · 1579478625333253<16> · 24668586612776773<17> · [3643853006...<1028>] (3.79%)

Φ1070(10) = 1099989000...<425> = 2607209081<10> · [4219028723...<415>] (2.22%)

Φ1071(10) = 1001000999...<577> = 6427 · 43834194307<11> · 7094621664153616951<19> · [5008226273...<543>] (5.78%)

Φ1072(10) = 9999999900...<528> = 3217 · 1010897 · 4374833 · 2929274744593<13> · [2399498265...<500>] (5.42%)

Φ1073(10) = 9000000000...<1008> = [9000000000...<1008>] (0.00%)

Φ1074(10) = 1098901098...<357> = 42961 · 11172823 · 406122163793038854621269776053091<33> · 5637215218...<312>(100.00%)

Φ1075(10) = 9999900000...<840> = 28808518895110018881804272718751<32> · 4017598438002068420458980887909935273415­38136201<48> · [8639889729...<761>] (9.41%)

Φ1076(10) = 9900990099...<536> = 3229 · 8609 · 4305405011749<13> · 355838514399900341881<21> · 2324828435...<496>(100.00%)

Φ1077(10) = 9009009009...<716> = 904681 · 258077203 · 50716619281<11> · 7608194600...<691>(100.00%)

Φ1078(10) = 1000000099...<421> = [1000000099...<421>] (0.00%)

Φ1079(10) = 9000000000...<984> = 53951 · 2699343564110569439515609<25> · 1993153275992807616812220950325317<34> · [3100588622...<922>] (6.35%)

Φ1080(10) = 1000000000...<289> = 14767753476961<14> · [6771510653...<275>] (4.57%)

Φ1081(10) = 9000000000...<1012> = 312167072114485731772253<24> · [2883071535...<989>] (2.32%)

Φ1082(10) = 9090909090...<540> = 780228037 · [1165160524...<532>] (1.65%)

Φ1083(10) = 9999999999...<684> = 14830831597<11> · 100110048074161<15> · 1290118416840734700343441<25> · 4604283618329785428488803<25> · 281997552115245416778864294482683<33> · [4020868271...<579>] (15.41%)

Φ1084(10) = 9900990099...<540> = 7589 · 7232934780311654535925465700775281<34> · [1803763208...<503>] (6.99%)

Φ1085(10) = 1111099888...<721> = 2508521 · 137716815496093214785847394692441<33> · [3216239574...<682>] (5.35%)

Φ1086(10) = 1098901098...<361> = 1087 · 9822131521<10> · 124016216479696838809<21> · [8299364538...<327>] (9.20%)

Φ1087(10) = 1111111111...<1087> = 76219346479<11> · 1072243601428171668187484602917217901936­3<41> · [1359561339...<1036>] (4.69%)

Φ1088(10) = 9999999999...<512> = 6529 · 224129 · 1050766310593<13> · 9436966498586910837121<22> · 10057985820552786713090497<26> · 1057022810110645808388441692708170409856­1<41> · [6482183876...<404>] (21.13%)

Φ1089(10) = 9999999999...<660> = 415999 · 821493530731722023802199<24> · [2926197033...<631>] (4.47%)

Φ1090(10) = 1099989000...<433> = 1091 · 2755580006681<13> · 1107565782360491<16> · 1359322464803502776636005411<28> · 7884537470256430322347573586201<31> · [3082352623...<344>] (20.50%)

Φ1091(10) = 1111111111...<1091> = 6547 · 928537009 · 4101225705295771360163<22> · [4456585682...<1056>] (3.16%)

Φ1092(10) = 9901000000...<288> = 37275014869<11> · 428085457801<12> · 4902137591818741<16> · 798407634963349034989<21> · 1585333300...<230>(100.00%)

Φ1093(10) = 1111111111...<1093> = 4373 · 135533 · 137643677 · 791917849 · 16479507004453<14> · 16668070474751<14> · 846074460207803286329<21> · 16307487448746667679081<23> · 199506195135220536755902065305293<33> · 1424879814341495407733435665631903357<37> · [1596381779...<929>] (15.00%)

Φ1094(10) = 9090909090...<546> = 172853 · 19223434331<11> · 75082069044649<14> · 801184237904695710568990687788865153927<39> · [4548108181...<478>] (12.51%)

Φ1095(10) = 1109988900...<577> = 30528601 · 743778751 · 1399205517511<13> · 99519941206321<14> · 140932038048905130657965837325339961<36> · [2490959198...<499>] (13.48%)

Φ1096(10) = 9999000099...<544> = 137 · 1097 · [6653181603...<539>] (0.95%)

Φ1097(10) = 1111111111...<1097> = 440065518751539199<18> · 677482650311100157<18> · [3726850501...<1061>] (3.24%)

Φ1098(10) = 1000999998...<361> = 191870011 · 4741477940161<13> · 74307593114918637692506291<26> · 1480744226...<314>(100.00%)

Φ1099(10) = 9000000900...<936> = 1161042947<10> · [7751652015...<927>] (0.97%)

Φ1100L(10) = 9900498007...<200> = 2471701 · 486904001 · 133157371602664723858501<24> · 212890462662706052906860201<27> · 49094895915282817628267672401<29> · 3668996113223183559833250396711179251902­642533701<49> · 1611063836099257090042674249299639805288­1460699696765138501<59>(100.00%)

Φ1100M(10) = 1010050200...<201> = 1262393707972671983684902741282727802604­64262689211651471701<60> · 8001071253952062399354308777586934418793­3827971598685416875919864318432061509004­7781735227652512476232674239391299478587­112475352432305219301<141>(100.00%)

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