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Factorizations of 688...889

Table of contents

  1. About 688...889
  2. Prime numbers of the form 688...889
  3. Factorizations of 688...889
  4. References

1. About 688...889

First ten terms

69, 689, 6889, 68889, 688889, 6888889, 68888889, 688888889, 6888888889, 68888888889

General term

(62·10n+1)/9

2. Prime numbers of the form 688...889

Last update

Jan 18, 2009

Searched up to

n≤10000

Difficulty of search

11.43%

Results

  1. (62·105+1)/9 = 688889 is prime. (Makoto Kamada / Dec 6, 2004)
  2. (62·1057+1)/9 = 6(8)569<58> is prime. (Makoto Kamada / PPSIQS / Dec 6, 2004)
  3. (62·10501+1)/9 = 6(8)5009<502> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 31, 2006)
  4. (62·10515+1)/9 = 6(8)5149<516> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 31, 2006)
  5. (62·10627+1)/9 = 6(8)6269<628> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 31, 2006)
  6. (62·10641+1)/9 = 6(8)6409<642> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 31, 2006)
  7. (62·10725+1)/9 = 6(8)7249<726> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 31, 2006)

3. Factorizations of 688...889

Last update

Nov 5, 2009

Completed up to

Range

n≤150

Results

(62·101+1)/9 =
69
= 3 · 23
(62·102+1)/9 =
689
= 13 · 53
(62·103+1)/9 =
6889
= 832
(62·104+1)/9 =
68889
= 3 · 22963
(62·105+1)/9 =
688889
= definitely prime number
(62·106+1)/9 =
6888889
= 7 · 984127
(62·107+1)/9 =
68888889
= 32 · 19 · 402859
(62·108+1)/9 =
688888889
= 13 · 52991453
(62·109+1)/9 =
6888888889<10>
= 2179 · 3161491
(62·1010+1)/9 =
68888888889<11>
= 3 · 14411 · 1593433
(62·1011+1)/9 =
688888888889<12>
= 17 · 167 · 11689 · 20759
(62·1012+1)/9 =
6888888888889<13>
= 72 · 5441 · 25838921
(62·1013+1)/9 =
68888888888889<14>
= 3 · 967 · 23746600789<11>
(62·1014+1)/9 =
688888888888889<15>
= 13 · 699151 · 75794003
(62·1015+1)/9 =
6888888888888889<16>
= 53 · 129979035639413<15>
(62·1016+1)/9 =
68888888888888889<17>
= 36 · 139 · 2593 · 8713 · 30091
(62·1017+1)/9 =
688888888888888889<18>
= 43 · 71 · 673 · 335279740381<12>
(62·1018+1)/9 =
6888888888888888889<19>
= 7 · 984126984126984127<18>
(62·1019+1)/9 =
68888888888888888889<20>
= 3 · 5689 · 4036379497796267<16>
(62·1020+1)/9 =
688888888888888888889<21>
= 13 · 29 · 557 · 8527 · 89603 · 4293721
(62·1021+1)/9 =
6888888888888888888889<22>
= 419 · 2843 · 4409 · 517609 · 2534057
(62·1022+1)/9 =
68888888888888888888889<23>
= 3 · 277 · 57881 · 1432227903107999<16>
(62·1023+1)/9 =
688888888888888888888889<24>
= 23 · 98929 · 5899991 · 51315241337<11>
(62·1024+1)/9 =
6888888888888888888888889<25>
= 7 · 523 · 1471 · 6983 · 25343 · 7228309051<10>
(62·1025+1)/9 =
68888888888888888888888889<26>
= 32 · 19 · 4057 · 99299728703531530787<20>
(62·1026+1)/9 =
688888888888888888888888889<27>
= 13 · 52991452991452991452991453<26>
(62·1027+1)/9 =
6888888888888888888888888889<28>
= 17 · 52503306941<11> · 7718156851059037<16>
(62·1028+1)/9 =
68888888888888888888888888889<29>
= 3 · 53 · 1223 · 354262839028108470710177<24>
(62·1029+1)/9 =
688888888888888888888888888889<30>
= 191 · 521 · 8389 · 1505683 · 548067876850577<15>
(62·1030+1)/9 =
6888888888888888888888888888889<31>
= 7 · 61 · 197 · 1039 · 78820562762825180127329<23>
(62·1031+1)/9 =
68888888888888888888888888888889<32>
= 3 · 7680522307<10> · 2989765805645092954609<22>
(62·1032+1)/9 =
688888888888888888888888888888889<33>
= 13 · 97 · 546303639087144241783417041149<30>
(62·1033+1)/9 =
6888888888888888888888888888888889<34>
= 38259209 · 180058319786195498419449521<27>
(62·1034+1)/9 =
68888888888888888888888888888888889<35>
= 32 · 47 · 120319 · 1353550921752568214965840097<28>
(62·1035+1)/9 =
688888888888888888888888888888888889<36>
= 863 · 1699 · 469834609881546359073525554797<30>
(62·1036+1)/9 =
6888888888888888888888888888888888889<37>
= 7 · 263899 · 308303 · 225861137 · 53554273809522643<17>
(62·1037+1)/9 =
68888888888888888888888888888888888889<38>
= 3 · 89189 · 257464070266097421912600914495767<33>
(62·1038+1)/9 =
688888888888888888888888888888888888889<39>
= 13 · 43 · 2130981749747677<16> · 578305924975742049923<21>
(62·1039+1)/9 =
6888888888888888888888888888888888888889<40>
= 639811247 · 1928413213<10> · 5583380319939417490499<22>
(62·1040+1)/9 =
68888888888888888888888888888888888888889<41>
= 3 · 787 · 13259 · 33461 · 2503252457<10> · 26272346017815392543<20>
(62·1041+1)/9 =
688888888888888888888888888888888888888889<42>
= 53 · 17881 · 10936703390411<14> · 66465315912868313843543<23>
(62·1042+1)/9 =
6888888888888888888888888888888888888888889<43>
= 7 · 1033 · 68674451 · 13872528390188464832295969889469<32>
(62·1043+1)/9 =
68888888888888888888888888888888888888888889<44>
= 33 · 17 · 19 · 7899196065690733733389392144122106282409<40>
(62·1044+1)/9 =
688888888888888888888888888888888888888888889<45>
= 13 · 83 · 20611 · 3055777 · 917445382993<12> · 11049097219357931221<20>
(62·1045+1)/9 =
6888888888888888888888888888888888888888888889<46>
= 23 · 131 · 98893 · 2500163 · 2053871880397<13> · 4502387021375414111<19>
(62·1046+1)/9 =
68888888888888888888888888888888888888888888889<47>
= 3 · 2411 · 9524248429267093721676882191191606372029433<43>
(62·1047+1)/9 =
688888888888888888888888888888888888888888888889<48>
= 421 · 15161 · 3891749 · 789918873979<12> · 35108471578998729810539<23>
(62·1048+1)/9 =
6888888888888888888888888888888888888888888888889<49>
= 7 · 29 · 769 · 518113 · 5812397 · 14653691461177189794786706614007<32>
(62·1049+1)/9 =
68888888888888888888888888888888888888888888888889<50>
= 3 · 3669073 · 6258518967314894787583393124901838410672931<43>
(62·1050+1)/9 =
688888888888888888888888888888888888888888888888889<51>
= 13 · 1245175641943361<16> · 6776860807884967<16> · 6279812047929467419<19>
(62·1051+1)/9 =
6888888888888888888888888888888888888888888888888889<52>
= 114974082255943769<18> · 59916885212038792020790531598944481<35>
(62·1052+1)/9 =
68888888888888888888888888888888888888888888888888889<53>
= 32 · 71 · 12377 · 187423 · 409301441 · 113544675155368804234547016584641<33>
(62·1053+1)/9 =
688888888888888888888888888888888888888888888888888889<54>
= 149 · 593796253 · 7786198276448866758750340763735200026021337<43>
(62·1054+1)/9 =
6888888888888888888888888888888888888888888888888888889<55>
= 72 · 53 · 499 · 28564787 · 186099709334719829299872294169982045263549<42>
(62·1055+1)/9 =
68888888888888888888888888888888888888888888888888888889<56>
= 3 · 59 · 424593779745854598497831<24> · 916647347771038295842616954447<30>
(62·1056+1)/9 =
688888888888888888888888888888888888888888888888888888889<57>
= 13 · 72869512669<11> · 727210201503056129255358571903406006748238337<45>
(62·1057+1)/9 =
6888888888888888888888888888888888888888888888888888888889<58>
= definitely prime number
(62·1058+1)/9 =
68888888888888888888888888888888888888888888888888888888889<59>
= 3 · 1199909 · 45402691 · 421500428485076883758839988255302167043405277<45>
(62·1059+1)/9 =
688888888888888888888888888888888888888888888888888888888889<60>
= 17 · 43 · 204289199 · 7163532713<10> · 8920673878808299<16> · 72187414345750187168263<23>
(62·1060+1)/9 =
6888888888888888888888888888888888888888888888888888888888889<61>
= 7 · 5715547 · 172184216860955587800105044036377292844259173116236141<54>
(62·1061+1)/9 =
68888888888888888888888888888888888888888888888888888888888889<62>
= 32 · 19 · 11877587 · 9085025783561930356771<22> · 3733349815450127768821931173667<31>
(62·1062+1)/9 =
688888888888888888888888888888888888888888888888888888888888889<63>
= 13 · 139 · 1777 · 66749 · 7942933756343<13> · 308273431392977<15> · 1312628407334020434561109<25>
(62·1063+1)/9 =
6888888888888888888888888888888888888888888888888888888888888889<64>
= 99523 · 1163273 · 59503713937593457981533953288199778961006593800820091<53>
(62·1064+1)/9 =
68888888888888888888888888888888888888888888888888888888888888889<65>
= 3 · 8221 · 284518374088747<15> · 14412429204535701016429<23> · 681170406775645062371681<24>
(62·1065+1)/9 =
688888888888888888888888888888888888888888888888888888888888888889<66>
= 1747 · 2389 · 50549 · 58321 · 1640189 · 1354888837308576001<19> · 25194458884378167570005543<26>
(62·1066+1)/9 =
6888888888888888888888888888888888888888888888888888888888888888889<67>
= 7 · 7817 · 108136394929<12> · 1164230952084291601691793206724532673859338709750839<52>
(62·1067+1)/9 =
68888888888888888888888888888888888888888888888888888888888888888889<68>
= 3 · 23 · 53 · 883 · 1297 · 4261 · 40577 · 95133192445517844848649005358017818351707623841791<50>
(62·1068+1)/9 =
688888888888888888888888888888888888888888888888888888888888888888889<69>
= 132 · 102499 · 170167 · 43839551794960317914159<23> · 5330910598457774699015103174182323<34>
(62·1069+1)/9 =
6888888888888888888888888888888888888888888888888888888888888888888889<70>
= 5347 · 1288365230762836897117802298277331005963884213369906281819504187187<67>
(62·1070+1)/9 =
68888888888888888888888888888888888888888888888888888888888888888888889<71>
= 33 · 6290419648531<13> · 405607331748358659381828767685371641134930948003125232697<57>
(62·1071+1)/9 =
688888888888888888888888888888888888888888888888888888888888888888888889<72>
= 248051 · 2777206658666519743475692050783463436506560702794541803455293019939<67>
(62·1072+1)/9 =
6888888888888888888888888888888888888888888888888888888888888888888888889<73>
= 7 · 311 · 593 · 11654899 · 273215447 · 18647534693<11> · 84867100453<11> · 1058915987475025442276480681677<31>
(62·1073+1)/9 =
68888888888888888888888888888888888888888888888888888888888888888888888889<74>
= 3 · 44203960925123143680964174885210781<35> · 519477496640172242479843730463109415023<39> (Makoto Kamada / GGNFS-0.70.1 / 0.08 hours)
(62·1074+1)/9 =
688888888888888888888888888888888888888888888888888888888888888888888888889<75>
= 13 · 10439321 · 5076139817087049191512690623408648077110709881557717350869031902693<67>
(62·1075+1)/9 =
6888888888888888888888888888888888888888888888888888888888888888888888888889<76>
= 17 · 2609 · 13562129370750386547901588512581<32> · 11452447161452842771331343032666304564773<41> (Makoto Kamada / GGNFS-0.70.1 / 0.07 hours)
(62·1076+1)/9 =
68888888888888888888888888888888888888888888888888888888888888888888888888889<77>
= 3 · 29 · 2613547 · 2065382029<10> · 256017624151<12> · 64857448126846759<17> · 8834246214224669967433851840641<31>
(62·1077+1)/9 =
688888888888888888888888888888888888888888888888888888888888888888888888888889<78>
= 188299 · 24403603984061<14> · 53388315035353<14> · 7097279235659767007911<22> · 395648105694003788094697<24>
(62·1078+1)/9 =
6888888888888888888888888888888888888888888888888888888888888888888888888888889<79>
= 7 · 72452489 · 13583066609719703721760711134809794139496394445841386166652286909383943<71>
(62·1079+1)/9 =
68888888888888888888888888888888888888888888888888888888888888888888888888888889<80>
= 32 · 19 · 5964669947<10> · 10006621146257<14> · 6749618010498230052967496899926213732189587558665621121<55>
(62·1080+1)/9 =
688888888888888888888888888888888888888888888888888888888888888888888888888888889<81>
= 13 · 43 · 47 · 53 · 12293259168297089<17> · 4814813453546980346278517123<28> · 8358284347652808525963876865223<31>
(62·1081+1)/9 =
6888888888888888888888888888888888888888888888888888888888888888888888888888888889<82>
= 521 · 2027 · 51581 · 130729 · 53567383 · 1383653872258533080197129763<28> · 13051731138575078139808249070827<32>
(62·1082+1)/9 =
68888888888888888888888888888888888888888888888888888888888888888888888888888888889<83>
= 3 · 9721 · 44236789 · 25372505497<11> · 2104602255406609555050677076965532954115219520723216710759991<61>
(62·1083+1)/9 =
688888888888888888888888888888888888888888888888888888888888888888888888888888888889<84>
= 3089 · 309595277 · 720339027210952876802374942790406321417021802118196514380915048384476813<72>
(62·1084+1)/9 =
6888888888888888888888888888888888888888888888888888888888888888888888888888888888889<85>
= 7 · 4657 · 75244472813<11> · 13656442344656419733<20> · 394175886506997379181<21> · 521726227853295198741045094139<30>
(62·1085+1)/9 =
68888888888888888888888888888888888888888888888888888888888888888888888888888888888889<86>
= 3 · 83 · 1289 · 29077 · 3548227843<10> · 1823623259848156324629427<25> · 1140776843198028041018364914357491503010717<43>
(62·1086+1)/9 =
688888888888888888888888888888888888888888888888888888888888888888888888888888888888889<87>
= 13 · 113 · 8443 · 141959 · 8058811517<10> · 48550830715445873748101084434337766889389882269136192949535626789<65>
(62·1087+1)/9 =
6888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<88>
= 71 · 479 · 17195530291<11> · 11779849567434633678012744260502682593562068530167588389146860386304002331<74>
(62·1088+1)/9 =
68888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<89>
= 32 · 480463 · 29278692607<11> · 51687237389080453<17> · 10044163843913878933<20> · 1048088445087647982690988704575079769<37>
(62·1089+1)/9 =
688888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<90>
= 23 · 90163 · 3073240061<10> · 108092734759176483441255394935185723498740604205062139907032966502617911801<75>
(62·1090+1)/9 =
6888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<91>
= 7 · 61 · 5691137 · 2138822053<10> · 1325401968750612014842518608094745019000497431134634761004836959986371087<73>
(62·1091+1)/9 =
68888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<92>
= 3 · 17 · 277 · 4876399015282005301117639193663827344014220208741338492878097889777651935222544693770007<88>
(62·1092+1)/9 =
688888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<93>
= 13 · 68557517387<11> · 24371124339250756783<20> · 945684718731376246915793<24> · 33537355039205999650679910148392490601<38>
(62·1093+1)/9 =
6888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<94>
= 53 · 9832412509<10> · 147140627507974843<18> · 1540393625323266367219971859<28> · 58324215140546834961579538198286695961<38>
(62·1094+1)/9 =
68888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<95>
= 3 · 108379 · 11594567 · 783309510283733<15> · 2443133391616379677321<22> · 9548775271241801118135295892944526047919870587<46>
(62·1095+1)/9 =
688888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<96>
= 263 · 6133 · 57503 · 104303475607<12> · 1289783852141116807757327<25> · 55209555213943750837224859048991481738482338487173<50>
(62·1096+1)/9 =
6888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<97>
= 72 · 225164847423539<15> · 647842073864492492492810856555647<33> · 963792096584974466388656581993015177003501583917<48> (Makoto Kamada / GGNFS-0.71.1 / 0.28 hours)
(62·1097+1)/9 =
68888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<98>
= 34 · 19 · 11677 · 60337 · 153509456999469660188672869<27> · 725744150799699600132433097<27> · 570265222860987767825369717545243<33>
(62·1098+1)/9 =
688888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<99>
= 13 · 486907 · 7240799 · 2340345902680952203330623833<28> · 6422339606060821951922186396730061399032889587059823233537<58>
(62·1099+1)/9 =
6888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<100>
= 337 · 20441806791955159907682162875041213320145070886910649521925486317177711836465545664358720738542697<98>
(62·10100+1)/9 =
68888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<101>
= 3 · 10399107123321098233<20> · 2208166786883663157118660556242926557938734114380760506430498174910660054529512811<82>
(62·10101+1)/9 =
6(8)1009<102>
= 43 · 794923 · 22298899069<11> · 521414373128318801070969157<27> · 1733361879406850829640718045984603028969013088436358102097<58>
(62·10102+1)/9 =
6(8)1019<103>
= 7 · 126307 · 208654741 · 400156717 · 3093275436869<13> · 152720239844761591<18> · 2105829240635400821<19> · 93805220659517407554990943863307<32>
(62·10103+1)/9 =
6(8)1029<104>
= 3 · 109 · 210669384981311586816173972137274889568467550118926265715256540944614339109751953788651036357458375807<102>
(62·10104+1)/9 =
6(8)1039<105>
= 13 · 29 · 229 · 38244373169<11> · 139607668881823642420652311961<30> · 1494498642480030417679315385059712646147073901718284772400837<61> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=2548317768 for P30 / Oct 19, 2009)
(62·10105+1)/9 =
6(8)1049<106>
= 2377 · 10037387 · 3145444153<10> · 9237199316962640481719<22> · 9937497576468544999293386043573912503214162458588803212293674573<64>
(62·10106+1)/9 =
6(8)1059<107>
= 32 · 53 · 9187 · 15720164440019471705618318312082333296340236691416544271241193950546036108558486022403110604718975311<101>
(62·10107+1)/9 =
6(8)1069<108>
= 17 · 2011398162679<13> · 113745703825053221<18> · 177119838385459031677538125003545212751586915051072292099117905677489024518963<78>
(62·10108+1)/9 =
6(8)1079<109>
= 7 · 139 · 359 · 571261 · 786719 · 2979701 · 88487325486117617422437582413031689<35> · 166430884397911127150765051393953307715521219894077<51> (Erik Branger / YAFU, Msieve 1.38 for P35 x P51 / Oct 22, 2009)
(62·10109+1)/9 =
6(8)1089<110>
= 3 · 88359769 · 321656962118179<15> · 3255012946193881919<19> · 6053539948885294234840535779447<31> · 41003248435304780435015393009752973041<38> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=3071172844 for P31 / Oct 19, 2009)
(62·10110+1)/9 =
6(8)1099<111>
= 13 · 181 · 21559 · 2174310109<10> · 63432888137017016044348166423759881<35> · 98460643496494633707032806939239407637455939456098771653683<59> (Erik Branger / GGNFS, Msieve snfs / 1.02 hours / Oct 22, 2009)
(62·10111+1)/9 =
6(8)1109<112>
= 23 · 4639 · 315057233 · 3077974809623148102960387293801097224185933679<46> · 66579795337873101825458429741248933989066545646212591<53> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon, Msieve 1.42 snfs / 0.57 hours, 0.02 hours / Oct 22, 2009)
(62·10112+1)/9 =
6(8)1119<113>
= 3 · 886283 · 424474417621500274841350325647806085712007847<45> · 61038518645710499741252246219722199134494898635738764960652863<62> (Erik Branger / GGNFS, Msieve snfs / 0.89 hours / Oct 22, 2009)
(62·10113+1)/9 =
6(8)1129<114>
= 59 · 5568859 · 64608067 · 307759447 · 988598368841<12> · 2164455170504407347901<22> · 869855747552322801388305721<27> · 56652239651942988193519461521<29>
(62·10114+1)/9 =
6(8)1139<115>
= 7 · 221346679 · 2747140819<10> · 1618442251239215176321169765044624862842585487452750491900336374410865424387068148000972693111427<97>
(62·10115+1)/9 =
6(8)1149<116>
= 32 · 19 · 4263603869989940029<19> · 94487905451492604539631341703095550490501649534901773783367983171085887628647970858109029195271<95>
(62·10116+1)/9 =
6(8)1159<117>
= 13 · 52991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991453<116>
(62·10117+1)/9 =
6(8)1169<118>
= 40464497 · 45130259711000452950944547303930885114601<41> · 3772308490515012510449614847679149216069295945683508079802035124362337<70> (Erik Branger / GGNFS, Msieve snfs / 1.96 hours / Oct 22, 2009)
(62·10118+1)/9 =
6(8)1179<119>
= 3 · 179 · 128284709290295882474653424374094765156217670184150631078005379681357334988619904821022139457893647837781915994206497<117>
(62·10119+1)/9 =
6(8)1189<120>
= 53 · 81639827347528296394011236911324937968186783394226152874541<59> · 159210326457590438894678389977581407772306683697429931033193<60> (Serge Batalov / Msieve 1.44 snfs / 0.77 hours / Oct 23, 2009)
(62·10120+1)/9 =
6(8)1199<121>
= 7 · 1520128541<10> · 230482446188707<15> · 24674280757669201<17> · 5408366139107340547253<22> · 43704165670885458627270709<26> · 481614497298797956613036738145073<33>
(62·10121+1)/9 =
6(8)1209<122>
= 3 · 91572199 · 164024522923<12> · 196938095405058523<18> · 35168395587744027943<20> · 220736020804699605701533904538393822824303411988043793634311608171<66>
(62·10122+1)/9 =
6(8)1219<123>
= 13 · 43 · 71 · 12852950743<11> · 298297116435961716457125618861217437142706371<45> · 4527173357582149631512924797923598004872719944155101719816241917<64> (Dmitry Domanov / GGNFS/msieve snfs / 1.11 hours / Oct 23, 2009)
(62·10123+1)/9 =
6(8)1229<124>
= 17 · 797 · 9853043 · 138595979 · 158482889 · 76444739699<11> · 140344436011805338070535887144534289733<39> · 218975609300055754225391098819657487228955178651<48> (Sinkiti Sibata / Msieve 1.42 for P39 x P48 / 0.64 hours / Oct 22, 2009)
(62·10124+1)/9 =
6(8)1239<125>
= 33 · 191 · 13358326330984853381595673625923771357162863852799862107599164027319931915627087238489216383340874324004050589274556697477<122>
(62·10125+1)/9 =
6(8)1249<126>
= 321313 · 1505022925791217057<19> · 62028237283581396428045821<26> · 5493493946692694352198298538123<31> · 4180610217385291406336119989356729610182804263<46> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=3681457563 for P31 / Oct 19, 2009)
(62·10126+1)/9 =
6(8)1259<127>
= 7 · 47 · 83 · 1541963399<10> · 660931435820087<15> · 24438968728948515381731252918147334447671<41> · 10128889662287420283252120128975774558249253186011221512749<59> (Sinkiti Sibata / GGNFS-0.77.1-20050930-pentium4 snfs / 4.21 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Oct 29, 2009)
(62·10127+1)/9 =
6(8)1269<128>
= 3 · 17891 · 4844804631723757<16> · 27800134277149853<17> · 674359408887951554012507<24> · 14131189685330691405394812326678489380392983787551231073736394591419<68>
(62·10128+1)/9 =
6(8)1279<129>
= 13 · 97 · 197 · 1571 · 221839062921055719484107373612660853699302142746356139<54> · 7957078823320286782689262399302302972074139970168996053248181231993<67> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon, Msieve 1.43 snfs / 1.84 hours, 0.13 hours / Oct 29, 2009)
(62·10129+1)/9 =
6(8)1289<130>
= 233081622689<12> · 19764208627430219<17> · 5370357403518944491<19> · 278457248897235614613011852681120886534870266139194795069899210088061280309737048769<84>
(62·10130+1)/9 =
6(8)1299<131>
= 3 · 1021 · 4517 · 97829 · 172646517491005006256239973571080363<36> · 294799441210256853477729159395431700808480725079520017412819392555476174232512350517<84> (Sinkiti Sibata / Msieve 1.42 snfs / 1 hour 17 min, 0.11 hours / Oct 29, 2009)
(62·10131+1)/9 =
6(8)1309<132>
= 599 · 2588270609<10> · 3211874737<10> · 6371971009<10> · 50689315607939<14> · 372424554632699<15> · 1150073381041910242784515200836687330384007738097251570257564292314268383<73>
(62·10132+1)/9 =
6(8)1319<133>
= 7 · 29 · 53 · 467527552724707428829431341<27> · 1369525308671422068186030112317004583080693882949677712554639225014790222503753653177677959052215413531<103>
(62·10133+1)/9 =
6(8)1329<134>
= 32 · 192 · 23 · 521 · 13903 · 1920271 · 203516197045434218419<21> · 325659599688318185005347374634219565874756198740615971131502478117151397677641846574905657420061<96>
(62·10134+1)/9 =
6(8)1339<135>
= 13 · 52991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991453<134>
(62·10135+1)/9 =
6(8)1349<136>
= 277213 · 115204781 · 2088359971517143<16> · 103290344105197014113671483575138229359748242061096187664452948852666987834697786088327637591580311220726791<108>
(62·10136+1)/9 =
6(8)1359<137>
= 3 · 3371 · 1014970768241<13> · 77426502504949242515724093217<29> · 86681415857318770436422722340003219274859669482496823776897806280141335067727737427389633449<92>
(62·10137+1)/9 =
6(8)1369<138>
= 691 · 16724552400041<14> · 863429022865229<15> · 10646286546452465309<20> · 6484729058154525456285413801199338765366657004870082297198717713573004352799850640872579<88>
(62·10138+1)/9 =
6(8)1379<139>
= 72 · 2777 · 14838630112248264447941<23> · 3411798792251944441458942947320335495936808460622007046143663562888090249873159413763774770655315745825598658173<112>
(62·10139+1)/9 =
6(8)1389<140>
= 3 · 17 · 45022889 · 484214506163729990618092275284042969<36> · 61959492079224298660493435009803532533981674214668390763156707898945653153181452537824772870179<95> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 4.64 hours / Oct 30, 2009)
(62·10140+1)/9 =
6(8)1399<141>
= 13 · 12015911326813<14> · 10098947505940741188253378705758426820362239035432097<53> · 436689750002543719167336765795082713550194093289913311609891257071910504673<75> (Erik Branger / GGNFS, Msieve snfs / 5.09 hours / Oct 29, 2009)
(62·10141+1)/9 =
6(8)1409<142>
= 568661993488414430953673552639897<33> · 107136670558984692997845953645695662813997409001629<51> · 113072457467357463380646477639339817944564509365675623543253<60> (Dmitry Domanov / GGNFS/msieve snfs / 6.00 hours / Nov 1, 2009)
(62·10142+1)/9 =
6(8)1419<143>
= 32 · 114727531 · 3575800165071310752931<22> · 53527759688163829497674421563<29> · 348567359058999619931597659950935233388714981082615696133237086287734048862496093347<84>
(62·10143+1)/9 =
6(8)1429<144>
= 43 · 99581 · 138917 · 11273287 · 281762389 · 2919397037<10> · 5280147761759531<16> · 121282972867437013<18> · 1183524895479531318516657280516253<34> · 164777834200755466127443978877428258379671<42> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=3962379111 for P34 / Oct 27, 2009)
(62·10144+1)/9 =
6(8)1439<145>
= 7 · 6947 · 4257496835970046328258574077329808655160261495634343872354609<61> · 33273578231402606240782600493794607850183398235273622964448002794566112533642949<80> (Dmitry Domanov / GGNFS/msieve snfs / 6.07 hours / Nov 1, 2009)
(62·10145+1)/9 =
6(8)1449<146>
= 3 · 53 · 3037 · 6329 · 20233 · 24151 · 289021 · 912403 · 5929006956554283372161105073815933362297298798067922111<55> · 29503850915816027505202414387618333019676491925964734615718733<62> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 4.05 hours on Core 2 Quad Q6700 / Nov 3, 2009)
(62·10146+1)/9 =
6(8)1459<147>
= 132 · 6211201993<10> · 37581034560382870644756808555485568620305131<44> · 17462969313698974114395124223099743671734245518631937018327064999870014820154330993298790107<92> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 5.79 hours on Core 2 Quad Q6700 / Nov 4, 2009)
(62·10147+1)/9 =
6(8)1469<148>
= 14609058570850068072790171345251209857<38> · 54119127478220719186968454440445122879267586001<47> · 8713169520734770932259156884452356918743245463266750664655868777<64> (Dmitry Domanov / GGNFS/msieve snfs / 14.47 hours / Oct 30, 2009)
(62·10148+1)/9 =
6(8)1479<149>
= 3 · 968893963 · 1010325931287078378105743<25> · 26271799596027579924616943<26> · 1154296887283017820556565817700236598461<40> · 773540093204736296456243349622971513303636130557709<51> (Sinkiti Sibata / Msieve 1.42 for P40 x P51 / 1.1 hours / Oct 30, 2009)
(62·10149+1)/9 =
6(8)1489<150>
= 20483 · 1451521 · 2159958576333471630827291022074668095705599543<46> · 10727212141443721091591595069382603712040863221467467516173427204992746524141860104161935808261<95> (Dmitry Domanov / GGNFS/msieve snfs / 11.72 hours / Nov 4, 2009)
(62·10150+1)/9 =
6(8)1499<151>
= 7 · 61 · 335899951 · 631812782018320361<18> · 12191688122843586596710384365301<32> · 6235325251854743704987134113434328800026549545253723826064948248579721224281529557691548137<91> (Jo Yeong Uk / GMP-ECM 6.2.3 B1=1000000, sigma=5303952899 for P32 / Nov 3, 2009)

4. References

Copyright (C) 1999-2009 Makoto Kamada All Rights Reserved.