This page was automatically generated from Phin10.txt -- Factor list of Phi_n(10) (n<=100000) (4684KB).
Compressed list: Phin10.txt.bz2 (1957KB) / Phin10.txt.gz (2152KB)
Recent changes: Phin10changes.txt (40KB)
Last updated: Fri, 03 Jul 2009 16:23:00 GMT
| Kurt Beschorner | http://www.kurtbeschorner.de/ |
| Richard Brent | http://wwwmaths.anu.edu.au/~brent/factors.html |
| Greg Childers | http://tech.groups.yahoo.com/group/primefactors/files/Phi10.zip |
| Torbjörn Granlund | http://gmplib.org/~tege/repunit.html |
| Makoto Kamada | http://homepage2.nifty.com/m_kamada/math/factorizations.htm |
| Yousuke Koide | http://www.h4.dion.ne.jp/~rep/ |
| Alfred Reich | http://www.alfredreich.com/ |
| Sam Wagstaff | http://homes.cerias.purdue.edu/~ssw/cun/ |
| Paul Zimmermann | http://www.loria.fr/~zimmerma/records/ecmnet.html |
| expression | = | value value<length> ten leading digits...<length> | = | prime factor prime factorexponent prime factor<length> (probable) prime factor...<length> [composite factor...<length>] (unidentified factor...<length>) | · | ... |
101+1 = 11 = 11
102+1 = 101 = 101
103+1 = 1001 = 7 · 11 · 13
104+1 = 10001 = 73 · 137
105+1 = 100001 = 11 · 9091
106+1 = 1000001 = 101 · 9901
107+1 = 10000001 = 11 · 909091
108+1 = 100000001 = 17 · 5882353
109+1 = 1000000001<10> = 7 · 11 · 13 · 19 · 52579
1010+1 = 10000000001<11> = 101 · 3541 · 27961
1011+1 = 100000000001<12> = 112 · 23 · 4093 · 8779
1012+1 = 1000000000001<13> = 73 · 137 · 99990001
1013+1 = 10000000000001<14> = 11 · 859 · 1058313049<10>
1014+1 = 100000000000001<15> = 29 · 101 · 281 · 121499449
1015+1 = 1000000000000001<16> = 7 · 11 · 13 · 211 · 241 · 2161 · 9091
1016+1 = 10000000000000001<17> = 353 · 449 · 641 · 1409 · 69857
1017+1 = 100000000000000001<18> = 11 · 103 · 4013 · 21993833369<11>
1018+1 = 1000000000000000001<19> = 101 · 9901 · 999999000001<12>
1019+1 = 10000000000000000001<20> = 11 · 909090909090909091<18>
1020+1 = 100000000000000000001<21> = 73 · 137 · 1676321 · 5964848081<10>
1021+1 = 1000000000000000000001<22> = 72 · 11 · 13 · 127 · 2689 · 459691 · 909091
1022+1 = 10000000000000000000001<23> = 89 · 101 · 1052788969<10> · 1056689261<10>
1023+1 = 100000000000000000000001<24> = 11 · 47 · 139 · 2531 · 549797184491917<15>
1024+1 = 1000000000000000000000001<25> = 17 · 5882353 · 9999999900000001<16>
1025+1 = 10000000000000000000000001<26> = 11 · 251 · 5051 · 9091 · 78875943472201<14>
1026+1 = 100000000000000000000000001<27> = 101 · 521 · 1900381976777332243781<22>
1027+1 = 1000000000000000000000000001<28> = 7 · 11 · 13 · 19 · 52579 · 70541929 · 14175966169<11>
1028+1 = 10000000000000000000000000001<29> = 73 · 137 · 7841 · 127522001020150503761<21>
1029+1 = 100000000000000000000000000001<30> = 11 · 59 · 154083204930662557781201849<27>
1030+1 = 1000000000000000000000000000001<31> = 61 · 101 · 3541 · 9901 · 27961 · 4188901 · 39526741
1031+1 = 10000000000000000000000000000001<32> = 11 · 909090909090909090909090909091<30>
1032+1 = 100000000000000000000000000000001<33> = 19841 · 976193 · 6187457 · 834427406578561<15>
1033+1 = 1000000000000000000000000000000001<34> = 7 · 112 · 13 · 23 · 4093 · 8779 · 599144041 · 183411838171<12>
1034+1 = 10000000000000000000000000000000001<35> = 101 · 28559389 · 1491383821<10> · 2324557465671829<16>
1035+1 = 100000000000000000000000000000000001<36> = 11 · 9091 · 909091 · 4147571 · 265212793249617641<18>
1036+1 = 1000000000000000000000000000000000001<37> = 73 · 137 · 3169 · 98641 · 99990001 · 3199044596370769<16>
1037+1 = 10000000000000000000000000000000000001<38> = 11 · 7253 · 422650073734453<15> · 296557347313446299<18>
1038+1 = 100000000000000000000000000000000000001<39> = 101 · 722817036322379041<18> · 1369778187490592461<19>
1039+1 = 1000000000000000000000000000000000000001<40> = 7 · 11 · 132 · 157 · 859 · 6397 · 216451 · 1058313049<10> · 388847808493<12>
1040+1 = 10000000000000000000000000000000000000001<41> = 17 · 5070721 · 5882353 · 19721061166646717498359681<26>
1041+1 = 100000000000000000000000000000000000000001<42> = 11 · 2670502781396266997<19> · 3404193829806058997303<22>
1042+1 = 1000000000000000000000000000000000000000001<43> = 29 · 101 · 281 · 9901 · 226549 · 121499449 · 4458192223320340849<19>
1043+1 = 10000000000000000000000000000000000000000001<44> = 11 · 57009401 · 2182600451<10> · 7306116556571817748755241<25>
1044+1 = 100000000000000000000000000000000000000000001<45> = 73 · 137 · 617 · 16205834846012967584927082656402106953<38>
1045+1 = 1000000000000000000000000000000000000000000001<46> = 7 · 11 · 13 · 19 · 211 · 241 · 2161 · 9091 · 29611 · 52579 · 3762091 · 8985695684401<13>
1046+1 = 10000000000000000000000000000000000000000000001<47> = 101 · 1289 · 18371524594609<14> · 4181003300071669867932658901<28>
1047+1 = 100000000000000000000000000000000000000000000001<48> = 11 · 6299 · 4855067598095567<16> · 297262705009139006771611927<27>
1048+1 = 1000000000000000000000000000000000000000000000001<49> = 97 · 353 · 449 · 641 · 1409 · 69857 · 206209 · 66554101249<11> · 75118313082913<14>
1049+1 = 10000000000000000000000000000000000000000000000001<50> = 11 · 197 · 909091 · 5076141624365532994918781726395939035533<40>
1050+1 = 100000000000000000000000000000000000000000000000001<51> = 101 · 3541 · 27961 · 60101 · 7019801 · 14103673319201<14> · 1680588011350901<16>
1051+1 = 1000000000000000000000000000000000000000000000000001<52> = 7 · 11 · 13 · 103 · 4013 · 21993833369<11> · 291078844423<12> · 377526955309799110357<21>
1052+1 = 10000000000000000000000000000000000000000000000000001<53> = 73 · 137 · 1580801 · 632527440202150745090622412245443923049201<42>
1053+1 = 100000000000000000000000000000000000000000000000000001<54> = 11 · 9090909090909090909090909090909090909090909090909091<52>
1054+1 = 1000000000000000000000000000000000000000000000000000001<55> = 101 · 109 · 9901 · 153469 · 999999000001<12> · 59779577156334533866654838281<29>
1055+1 = 10000000000000000000000000000000000000000000000000000001<56> = 112 · 23 · 331 · 4093 · 5171 · 8779 · 9091 · 20163494891<11> · 318727841165674579776721<24>
1056+1 = 100000000000000000000000000000000000000000000000000000001<57> = 17 · 113 · 5882353 · 73765755896403138401<20> · 119968369144846370226083377<27>
1057+1 = 1000000000000000000000000000000000000000000000000000000001<58> = 7 · 11 · 13 · 1458973 · 909090909090909091<18> · 753201806271328462547977919407<30>
1058+1 = 10000000000000000000000000000000000000000000000000000000001<59> = 101 · 349 · 38861 · 618049 · 11811806375201836408679635736258669583187541<44>
1059+1 = 100000000000000000000000000000000000000000000000000000000001<60> = 11 · 1889 · 1090805842068098677837<22> · 4411922770996074109644535362851087<34>
1060+1 = 1000000000000000000000000000000000000000000000000000000000001<61> = 73 · 137 · 1676321 · 99990001 · 5964848081<10> · 100009999999899989999000000010001<33>
1061+1 = 10000000000000000000000000000000000000000000000000000000000001<62> = 11 · 81131 · 11205222530116836855321528257890437575145023592596037161<56>
1062+1 = 100000000000000000000000000000000000000000000000000000000000001<63> = 101 · 2049349 · 483128549554512237305554588359039822397307149685578249<54>
1063+1 = 1000000000000000000000000000000000000000000000000000000000000001<64> = 72 · 11 · 13 · 19 · 127 · 2689 · 52579 · 459691 · 909091 · 5274739 · 189772422673235585874485732659<30>
1064+1 = 10000000000000000000000000000000000000000000000000000000000000001<65> = 1265011073<10> · 15343168188889137818369<23> · 515217525265213267447869906815873<33>
1065+1 = 100000000000000000000000000000000000000000000000000000000000000001<66> = 11 · 131 · 859 · 9091 · 1058313049<10> · 8396862596258693901610602298557167100076327481<46>
1066+1 = 1000000000000000000000000000000000000000000000000000000000000000001<67> = 89 · 101 · 9901 · 1052788969<10> · 1056689261<10> · 5419170769<10> · 789390798020221<15> · 2361000305507449<16>
1067+1 = 10000000000000000000000000000000000000000000000000000000000000000001<68> = 11 · 909090909090909090909090909090909090909090909090909090909090909091<66>
1068+1 = 100000000000000000000000000000000000000000000000000000000000000000001<69> = 73 · 137 · 152533657 · 65552746171882583264230070868884366877803237222654400793<56>
1069+1 = 1000000000000000000000000000000000000000000000000000000000000000000001<70> = 7 · 11 · 13 · 47 · 139 · 2531 · 31051 · 143574021480139<15> · 549797184491917<15> · 24649445347649059192745899<26>
1070+1 = 10000000000000000000000000000000000000000000000000000000000000000000001<71> = 29 · 101 · 281 · 421 · 3541 · 27961 · 3471301 · 13489841 · 121499449 · 60368344121<11> · 848654483879497562821<21>
1071+1 = 100000000000000000000000000000000000000000000000000000000000000000000001<72> = 11 · 290249 · 31321069464181068355415209323405389541706979493156189716729115659<65>
1072+1 = 1000000000000000000000000000000000000000000000000000000000000000000000001<73> = 17 · 8929 · 5882353 · 9999999900000001<16> · 111994624258035614290513943330720125433979169<45>
1073+1 = 10000000000000000000000000000000000000000000000000000000000000000000000001<74> = 11 · 293 · 10826684964539959837294043117<29> · 286578888976194997999922592330908602103011<42>
1074+1 = 100000000000000000000000000000000000000000000000000000000000000000000000001<75> = 101 · 149 · 3109 · 111149 · 708840373781<12> · 669031686661427842829<21> · 40548140514062774758071840361<29>
1075+1 = 1000000000000000000000000000000000000000000000000000000000000000000000000001<76> = 7 · 11 · 13 · 211 · 241 · 251 · 2161 · 5051 · 9091 · 78875943472201<14> · 10000099999999989999899999000000000100001<41>
1076+1 = 10000000000000000000000000000000000000000000000000000000000000000000000000001<77> = 73 · 137 · 457 · 1403417 · 5240808656722481737<19> · 297478330786365628414805305290302483555043017<45>
1077+1 = 100000000000000000000000000000000000000000000000000000000000000000000000000001<78> = 112 · 23 · 463 · 4093 · 8779 · 24179 · 590437 · 909091 · 7444361 · 4539402627853030477<19> · 4924630160315726207887<22>
1078+1 = 1000000000000000000000000000000000000000000000000000000000000000000000000000001<79> = 101 · 521 · 3121 · 9901 · 53397071018461<14> · 1900381976777332243781<22> · 6060517860310398033985611921721<31>
1079+1 = 10000000000000000000000000000000000000000000000000000000000000000000000000000001<80> = 11 · 1423 · 9615060929<10> · 66443174541490579097997510158021076958392938976011506949065646573<65>
1080+1 = 100000000000000000000000000000000000000000000000000000000000000000000000000000001<81> = 353 · 449 · 641 · 1409 · 69857 · 1634881 · 18453761 · 947147262401<12> · 349954396040122577928041596214187605761<39>
1081+1 = 1000000000000000000000000000000000000000000000000000000000000000000000000000000001<82> = 7 · 11 · 13 · 19 · 1459 · 52579 · 70541929 · 2458921051<10> · 14175966169<11> · 456502382570032651<18> · 610600386089858349939139<24>
1082+1 = 10000000000000000000000000000000000000000000000000000000000000000000000000000000001<83> = 101 · 68389 · 1447745997018511893740076606031686237538345362413531560645573104006506749609<76>
1083+1 = 100000000000000000000000000000000000000000000000000000000000000000000000000000000001<84> = 11 · 167 · 997 · 3565183 · 2097307081<10> · 7742098247001476863<19> · 943176903141330068482602900960294299878841<42>
1084+1 = 1000000000000000000000000000000000000000000000000000000000000000000000000000000000001<85> = 73 · 137 · 7841 · 99990001 · 11189053009<11> · 603812429055411913<18> · 127522001020150503761<21> · 148029423400750506553<21>
1085+1 = 10000000000000000000000000000000000000000000000000000000000000000000000000000000000001<86> = 11 · 103 · 4013 · 9091 · 87211 · 787223761 · 21993833369<11> · 160220794821014452066741918303580917664386555934641<51>
1086+1 = 100000000000000000000000000000000000000000000000000000000000000000000000000000000000001<87> = 101 · 338669 · 2923500556298303355222653948542706598448925085853709961673200056984872843366529<79>
1087+1 = 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<88> = 7 · 11 · 13 · 59 · 638453709757<12> · 135080726389891<15> · 154083204930662557781201849<27> · 1274194732898148471766404179653<31>
1088+1 = 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<89> = 17 · 5882353 · 10100113 · 9900879227786858424257223656804730798555422102713108259184822982673560177<73>
1089+1 = 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<90> = 11 · 179 · 12147237304901893<17> · 4180967272673252032291190917188955510245874180001164839931077197586653<70>
1090+1 = 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<91> = 61 · 101 · 181 · 3541 · 9901 · 27961 · 4188901 · 39526741 · 999999000001<12> · 4999437541453012143121<22> · 1105097795002994798105101<25>
1091+1 = 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<92> = 11 · 859 · 909091 · 21705503 · 1058313049<10> · 50678387411703889101759125785290439894389920385627096501794498837<65>
1092+1 = 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<93> = 73 · 137 · 2393 · 4178437150016715837818641871709193476807772628503969494400330129962348520684914375257<85>
1093+1 = 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<94> = 7 · 11 · 13 · 373 · 44641 · 3590254957<10> · 909090909090909090909090909091<30> · 18381907262281244633158190677786966663091011<44>
1094+1 = 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<95> = 101 · 45121 · 2144906157509411684424913774078958939881<40> · 1023037643093214557651333120422980213172396059301<49>
1095+1 = 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<96> = 11 · 9091 · 1812604116731<13> · 121450506296081<15> · 909090909090909091<18> · 4996731930447843676185843959746621491531100801<46>
1096+1 = 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<97> = 193 · 769 · 19841 · 976193 · 6187457 · 834427406578561<15> · 1253224535459902849<19> · 53763491189967221358575546107279034709697<41>
1097+1 = 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<98> = 11 · 102527361354613106010527<24> · 323338434891034089173475790125293<33> · 27422699366054621683295623079471066588881<41>
1098+1 = 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<99> = 29 · 101 · 281 · 121499449 · 999999999999990000000000000099999999999999000000000000009999999999999900000000000001<84>
1099+1 = 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<100> = 7 · 112 · 13 · 19 · 23 · 4093 · 8779 · 52579 · 599144041 · 7093127053<10> · 183411838171<12> · 141122524877886182282233539317796144938305111168717<51>
10100+1 = 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<101> = 73 · 137 · 401 · 1201 · 1601 · 1676321 · 5964848081<10> · 129694419029057750551385771184564274499075700947656757821537291527196801<72>