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Factorizations of 599...99

Table of contents

  1. About 599...99
  2. Prime numbers of the form 599...99
  3. Factorizations of 599...99
  4. References

1. About 599...99

First ten terms

59, 599, 5999, 59999, 599999, 5999999, 59999999, 599999999, 5999999999, 59999999999

General term

6·10n-1

2. Prime numbers of the form 599...99

Last update

Jan 18, 2009

Searched up to

n≤10000

Difficulty of search

27.43%

Results

  1. 6·101-1 = 59 is prime.
  2. 6·102-1 = 599 is prime.
  3. 6·104-1 = 59999 is prime.
  4. 6·105-1 = 599999 is prime.
  5. 6·107-1 = 59999999 is prime.
  6. 6·1010-1 = 5(9)10<11> is prime.
  7. 6·1013-1 = 5(9)13<14> is prime.
  8. 6·1022-1 = 5(9)22<23> is prime.
  9. 6·1023-1 = 5(9)23<24> is prime.
  10. 6·1028-1 = 5(9)28<29> is prime.
  11. 6·1034-1 = 5(9)34<35> is prime.
  12. 6·1040-1 = 5(9)40<41> is prime.
  13. 6·1061-1 = 5(9)61<62> is prime.
  14. 6·1073-1 = 5(9)73<74> is prime.
  15. 6·10361-1 = 5(9)361<362> is prime.
  16. 6·10490-1 = 5(9)490<491> is prime.
  17. 6·10613-1 = 5(9)613<614> is prime.
  18. 6·101624-1 = 5(9)1624<1625> is prime.
  19. 6·102000-1 = 5(9)2000<2001> is prime.
  20. 6·102994-1 = 5(9)2994<2995> is prime.
  21. 6·104301-1 = 5(9)4301<4302> is prime. (Harvey Dubner / Dubner Cruncher / 1988)
  22. 6·104332-1 = 5(9)4332<4333> is prime. (Harvey Dubner / Dubner Cruncher / 1988)
  23. 6·1018668-1 = 5(9)18668<18669> is prime. (Ray Ballinger / OpenPFGW / Feb 22, 2000)
  24. 6·1032544-1 = 5(9)32544<32545> is prime. (Eric J. Sorensen / Yves Gallot's Proth.exe / Sep 26, 2001)
  25. 6·1034936-1 = 5(9)34936<34937> is prime. (Eric J. Sorensen / Yves Gallot's Proth.exe / Sep 30, 2001)

3. Factorizations of 599...99

Last update

Feb 8, 2010

Completed up to

Range

n≤200

Terms which have not been factored yet

n=191, 195, 196, 199 (4/200)

Results

6·101-1 =
59
= definitely prime number
6·102-1 =
599
= definitely prime number
6·103-1 =
5999
= 7 · 857
6·104-1 =
59999
= definitely prime number
6·105-1 =
599999
= definitely prime number
6·106-1 =
5999999
= 1013 · 5923
6·107-1 =
59999999
= definitely prime number
6·108-1 =
599999999
= 97 · 6185567
6·109-1 =
5999999999<10>
= 7 · 1483 · 577979
6·1010-1 =
59999999999<11>
= definitely prime number
6·1011-1 =
599999999999<12>
= 17 · 35294117647<11>
6·1012-1 =
5999999999999<13>
= 1823 · 3291278113<10>
6·1013-1 =
59999999999999<14>
= definitely prime number
6·1014-1 =
599999999999999<15>
= 19 · 43 · 67 · 1153 · 9506597
6·1015-1 =
5999999999999999<16>
= 7 · 541 · 1584367573277<13>
6·1016-1 =
59999999999999999<17>
= 23 · 2608695652173913<16>
6·1017-1 =
599999999999999999<18>
= 709 · 846262341325811<15>
6·1018-1 =
5999999999999999999<19>
= 29 · 1411679 · 146560621589<12>
6·1019-1 =
59999999999999999999<20>
= 353 · 8171 · 304021 · 68422313
6·1020-1 =
599999999999999999999<21>
= 157197917 · 3816844468747<13>
6·1021-1 =
5999999999999999999999<22>
= 7 · 6954153317<10> · 123256249621<12>
6·1022-1 =
59999999999999999999999<23>
= definitely prime number
6·1023-1 =
599999999999999999999999<24>
= definitely prime number
6·1024-1 =
5999999999999999999999999<25>
= 163 · 2780353 · 13239259889273141<17>
6·1025-1 =
59999999999999999999999999<26>
= 3757451 · 15968272107873129949<20>
6·1026-1 =
599999999999999999999999999<27>
= 5179 · 115852481173971809229581<24>
6·1027-1 =
5999999999999999999999999999<28>
= 72 · 17 · 7202881152460984393757503<25>
6·1028-1 =
59999999999999999999999999999<29>
= definitely prime number
6·1029-1 =
599999999999999999999999999999<30>
= 1336429 · 448957632616472704498331<24>
6·1030-1 =
5999999999999999999999999999999<31>
= 701 · 2420509718477<13> · 3536115172721687<16>
6·1031-1 =
59999999999999999999999999999999<32>
= 61 · 22118294004137<14> · 44470272309115507<17>
6·1032-1 =
599999999999999999999999999999999<33>
= 19 · 71 · 3359 · 57119 · 2318188256057723764531<22>
6·1033-1 =
5999999999999999999999999999999999<34>
= 7 · 2075336443577<13> · 413013928317813530641<21>
6·1034-1 =
59999999999999999999999999999999999<35>
= definitely prime number
6·1035-1 =
599999999999999999999999999999999999<36>
= 43 · 197 · 70829890213670168811238342580569<32>
6·1036-1 =
5999999999999999999999999999999999999<37>
= 139 · 6711197 · 6431858225276248123179749953<28>
6·1037-1 =
59999999999999999999999999999999999999<38>
= 283 · 212014134275618374558303886925795053<36>
6·1038-1 =
599999999999999999999999999999999999999<39>
= 23 · 173 · 163993 · 10382260530139<14> · 88564582112771903<17>
6·1039-1 =
5999999999999999999999999999999999999999<40>
= 7 · 13585514603343721<17> · 63092409979957161627617<23>
6·1040-1 =
59999999999999999999999999999999999999999<41>
= definitely prime number
6·1041-1 =
599999999999999999999999999999999999999999<42>
= 2633 · 13757 · 1696097521<10> · 9766204963901981379423299<25>
6·1042-1 =
5999999999999999999999999999999999999999999<43>
= 499 · 2971 · 4047138369637288714082490123296070431<37>
6·1043-1 =
59999999999999999999999999999999999999999999<44>
= 17 · 349 · 1931 · 42257 · 49040897 · 236822219 · 10671245604213763<17>
6·1044-1 =
599999999999999999999999999999999999999999999<45>
= 47 · 12765957446808510638297872340425531914893617<44>
6·1045-1 =
5999999999999999999999999999999999999999999999<46>
= 7 · 2203 · 389079826211010959081771610142014136567019<42>
6·1046-1 =
59999999999999999999999999999999999999999999999<47>
= 29 · 193 · 11833 · 3675671 · 246470216804503779155871608258069<33>
6·1047-1 =
599999999999999999999999999999999999999999999999<48>
= 67 · 10594079 · 509629207 · 172126441013<12> · 9636322847872464473<19>
6·1048-1 =
5999999999999999999999999999999999999999999999999<49>
= 14364664709266377269<20> · 417691614906229723147036723171<30>
6·1049-1 =
59999999999999999999999999999999999999999999999999<50>
= 11411 · 153470661252539<15> · 34261169279554150649900389710431<32>
6·1050-1 =
599999999999999999999999999999999999999999999999999<51>
= 19 · 31578947368421052631578947368421052631578947368421<50>
6·1051-1 =
5999999999999999999999999999999999999999999999999999<52>
= 7 · 131 · 353 · 2535223 · 7311240046555136784604228098129848554613<40>
6·1052-1 =
59999999999999999999999999999999999999999999999999999<53>
= 797 · 5129261 · 14677028261471875891777001595586464177906647<44>
6·1053-1 =
599999999999999999999999999999999999999999999999999999<54>
= 179 · 87977 · 38100359267337711360949278071217572546100323453<47>
6·1054-1 =
5999999999999999999999999999999999999999999999999999999<55>
= 337 · 2663 · 177019 · 24641179 · 74613852559083283<17> · 20542313455702536763<20>
6·1055-1 =
59999999999999999999999999999999999999999999999999999999<56>
= 15727 · 4032547 · 946075782737782847860688869654804161852628571<45>
6·1056-1 =
599999999999999999999999999999999999999999999999999999999<57>
= 43 · 66721 · 15578587 · 60445750997<11> · 222088671514308544355119229159947<33>
6·1057-1 =
5999999999999999999999999999999999999999999999999999999999<58>
= 7 · 14863789 · 555149869 · 2666242199<10> · 23159937533<11> · 1682195456365039376531<22>
6·1058-1 =
59999999999999999999999999999999999999999999999999999999999<59>
= 619 · 3142949 · 276578971 · 63691243577507717<17> · 1750750997131002324416447<25>
6·1059-1 =
599999999999999999999999999999999999999999999999999999999999<60>
= 17 · 59 · 598205383848454636091724825523429710867397806580259222333<57>
6·1060-1 =
5999999999999999999999999999999999999999999999999999999999999<61>
= 23 · 307 · 409 · 42996776323493<14> · 48319878684414627110100126971371116007007<41>
6·1061-1 =
59999999999999999999999999999999999999999999999999999999999999<62>
= definitely prime number
6·1062-1 =
599999999999999999999999999999999999999999999999999999999999999<63>
= 481455309663211522505074333441<30> · 1246221586837858472996034981123839<34>
6·1063-1 =
5999999999999999999999999999999999999999999999999999999999999999<64>
= 7 · 182090291 · 4707240855268099620188661553310698717358537568281755027<55>
6·1064-1 =
59999999999999999999999999999999999999999999999999999999999999999<65>
= 149 · 922679 · 1076138510256801743<19> · 405551649875241548705630010965374800283<39>
6·1065-1 =
599999999999999999999999999999999999999999999999999999999999999999<66>
= 191 · 3769 · 833473403169143703316807407911607367349235079784241518366281<60>
6·1066-1 =
5999999999999999999999999999999999999999999999999999999999999999999<67>
= 512086480243041716904352319029253<33> · 11716770958593431073689738064524083<35>
6·1067-1 =
59999999999999999999999999999999999999999999999999999999999999999999<68>
= 71 · 223 · 419 · 1009 · 534789177407766941138934659<27> · 16761012100018487396746981330927<32>
6·1068-1 =
599999999999999999999999999999999999999999999999999999999999999999999<69>
= 19 · 16103 · 410687 · 32575393559<11> · 146585235598193905479820633258368417722287457179<48>
6·1069-1 =
5999999999999999999999999999999999999999999999999999999999999999999999<70>
= 73 · 4363 · 14925243566839106351<20> · 268627512297654440079816502608191438902480261<45>
6·1070-1 =
59999999999999999999999999999999999999999999999999999999999999999999999<71>
= 269 · 83611765935126911<17> · 2667666740953734314255705828515187875516958950798661<52>
6·1071-1 =
599999999999999999999999999999999999999999999999999999999999999999999999<72>
= 8537523206038031<16> · 160536790774987307652150061<27> · 437768770113197664779845516789<30>
6·1072-1 =
5999999999999999999999999999999999999999999999999999999999999999999999999<73>
= 191159277378239<15> · 1121444937597739<16> · 27988389907696451784860066243917985518945219<44>
6·1073-1 =
59999999999999999999999999999999999999999999999999999999999999999999999999<74>
= definitely prime number
6·1074-1 =
599999999999999999999999999999999999999999999999999999999999999999999999999<75>
= 29 · 143257 · 1983714555547<13> · 72804499447593125523576754351902314776031760853484405689<56>
6·1075-1 =
5999999999999999999999999999999999999999999999999999999999999999999999999999<76>
= 7 · 17 · 324507460003408069339447<24> · 155374449840682749967187331577323990500818002732943<51>
6·1076-1 =
59999999999999999999999999999999999999999999999999999999999999999999999999999<77>
= 54798810369826641979919054039<29> · 1094914279982932632625619455096050588507603599641<49>
6·1077-1 =
599999999999999999999999999999999999999999999999999999999999999999999999999999<78>
= 43 · 113682574240013903791278929819755310803<39> · 122740784727776557547820060924937272431<39>
6·1078-1 =
5999999999999999999999999999999999999999999999999999999999999999999999999999999<79>
= 329236493 · 68633373329249138786099613619<29> · 265526541278329254098319632359607855633497<42>
6·1079-1 =
59999999999999999999999999999999999999999999999999999999999999999999999999999999<80>
= 11154494040315119399<20> · 10897822857471661965989099<26> · 493584633251858229744377239500181499<36>
6·1080-1 =
599999999999999999999999999999999999999999999999999999999999999999999999999999999<81>
= 67 · 643 · 12099201990040870847<20> · 1151088586254657461985785604780115941561457524689802083257<58>
6·1081-1 =
5999999999999999999999999999999999999999999999999999999999999999999999999999999999<82>
= 7 · 173 · 99103 · 46338537573040032390121<23> · 24566875926013482922781177<26> · 43916533254733096516803059<26>
6·1082-1 =
59999999999999999999999999999999999999999999999999999999999999999999999999999999999<83>
= 232 · 139 · 1733 · 3616872907<10> · 15959181619<11> · 2287791772297<13> · 3565511619419132267898966591607687360212913<43>
6·1083-1 =
599999999999999999999999999999999999999999999999999999999999999999999999999999999999<84>
= 293 · 353 · 119983 · 70427657 · 15505451461<11> · 44275303996792920142579402320741662065023016421950874641<56>
6·1084-1 =
5999999999999999999999999999999999999999999999999999999999999999999999999999999999999<85>
= 1901 · 51907 · 11049121 · 1101514496339484553<19> · 2587931299664311230903961<25> · 1930512039750799268342299849<28>
6·1085-1 =
59999999999999999999999999999999999999999999999999999999999999999999999999999999999999<86>
= 92521827497544598437240105917<29> · 648495621226162195745665172860106182808755301191062640747<57>
6·1086-1 =
599999999999999999999999999999999999999999999999999999999999999999999999999999999999999<87>
= 192 · 4229 · 47686553926173250937117<23> · 8241578965236278767565312866845070579477993756728009140663<58> (Tetsuya Kobayashi / GMP-ECM 5.0.1)
6·1087-1 =
5999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<88>
= 7 · 4261 · 285528496020419<15> · 704518202567600678090787719212678342508784719362753529050477193164423<69>
6·1088-1 =
59999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<89>
= 523 · 577 · 1873 · 171323443 · 120742693494479891477306458967<30> · 5131665238246009824632632073100623917188313<43>
6·1089-1 =
599999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<90>
= 257 · 607 · 1232395141<10> · 7410777529<10> · 7937321699<10> · 25937084389<11> · 2045599199279662161477597924249094516075429019<46>
6·1090-1 =
5999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<91>
= 47 · 359 · 6192047 · 322574521 · 286528840291<12> · 1052948450353<13> · 590091266338469332232898137792138863194191118763<48>
6·1091-1 =
59999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<92>
= 17 · 61 · 62743 · 70997 · 176834701 · 42222391854265069913<20> · 63301975193223513127<20> · 27481449142179013026350133313987<32>
6·1092-1 =
599999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<93>
= 178127 · 50954492803<11> · 32819397762694041878759<23> · 2014226967777106368216365252229371506902148482918071981<55>
6·1093-1 =
5999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<94>
= 7 · 113 · 311 · 60972829549<11> · 187033703933281<15> · 7619712846828406201<19> · 280685222580723572304926112460115809083699971<45>
6·1094-1 =
59999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<95>
= 83029447679<11> · 12275273393783982103943230116374643869<38> · 58869172066335929958071717527393677055287002549<47>
6·1095-1 =
599999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<96>
= 109 · 5023 · 17550393529<11> · 174035923236994005541<21> · 16378905177749982130984433<26> · 21905387753381293140125274299091961<35>
6·1096-1 =
5999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<97>
= 593934787367<12> · 9893298335444792119782551023860658801<37> · 1021107301677480201413825263694188987466034072697<49>
6·1097-1 =
59999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<98>
= 1388489372339<13> · 82066776620057<14> · 526552058190132357546167752136946222702158138255650291528553002505281613<72>
6·1098-1 =
599999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<99>
= 43 · 2504077131362617<16> · 4073304960137957<16> · 52056073425725141<17> · 330121506368824607<18> · 79605475764378461582094688536931<32>
6·1099-1 =
5999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<100>
= 7 · 1018425725159<13> · 3590607182124377<16> · 18604859485320170130830237771<29> · 12598810968018677378492590536357526179792469<44>
6·10100-1 =
5(9)100<101>
= 719 · 356604254034942391508138861<27> · 234010767130393864013951027837530020686026294818131076157212640347340661<72> (Tetsuya Kobayashi / GMP-ECM 5.0.1)
6·10101-1 =
5(9)101<102>
= 391314156763852811<18> · 1533294897792525507891980519119037431688732503176657888199279564303972117562635887709<85>
6·10102-1 =
5(9)102<103>
= 29 · 71 · 167 · 571 · 40709 · 750674891946992748873816237429457812962689622060880721390598122924679946232775547640621997<90>
6·10103-1 =
5(9)103<104>
= 5039 · 66868801 · 93712667891<11> · 1539870184739<13> · 422065794502320883<18> · 2923619075427181525703434716264422110697393203508323<52>
6·10104-1 =
5(9)104<105>
= 19 · 23 · 97 · 9791 · 69379 · 1182143 · 1222157 · 11354069 · 1270265342574280817617418160697432061114080650290968906813085331282447601<73>
6·10105-1 =
5(9)105<106>
= 7 · 163 · 1277 · 223138130881<12> · 1311750790827327166963<22> · 6817618902475209118987<22> · 2063558865389558071204449760966444981523860687<46>
6·10106-1 =
5(9)106<107>
= 40751 · 98999 · 28926391422069887<17> · 514147719118617305159840102080000885923166969806318421742664488657181009876012073<81>
6·10107-1 =
5(9)107<108>
= 17 · 2213 · 15607 · 4372073 · 45875154537158388279688574953909<32> · 5094910270059673286797389445344151447772643625914936877707481<61>
6·10108-1 =
5(9)108<109>
= 983 · 1319 · 2879 · 1377936220991900892143876049623<31> · 15727768119140553102115299513499<32> · 74167742155184056600770204460124004389<38> (Naoki Yamamoto)
6·10109-1 =
5(9)109<110>
= 1097 · 177127 · 40526865419503344030560725081973<32> · 7619331015587068965128617236216530435918061305625862481832120448431677<70> (Tetsuya Kobayashi / GMP-ECM B1=1e6)
6·10110-1 =
5(9)110<111>
= 10625306341368217<17> · 56468960114964384998464314775752258511396912074001628375906733059745552466884838958950545071447<95>
6·10111-1 =
5(9)111<112>
= 72 · 10520047 · 1550892611<10> · 116729400829<12> · 64294749278994892575094959854622567772815734108995564474638032495541619431846705607<83>
6·10112-1 =
5(9)112<113>
= 7873 · 627064686431686180556447069365942930637<39> · 12153424154991108248207141560671491643347371910061844293900500637895099<71> (Naoki Yamamoto / GGNFS / 13h)
6·10113-1 =
5(9)113<114>
= 67 · 243080819 · 108302138014087<15> · 936262098457003<15> · 1177187532919133<16> · 346477659553285613<18> · 890779866920244911623406497394776949906827<42>
6·10114-1 =
5(9)114<115>
= 6226439 · 74835913 · 12876607303113335013164833061010825997367725273981214767604030137507384634530120047380909809363069057<101>
6·10115-1 =
5(9)115<116>
= 353 · 29753 · 98809 · 279777283 · 89915295521439214464304782013102496477<38> · 2298281675665954480084479869603733788667763610645868165769<58> (Naoki Yamamoto)
6·10116-1 =
5(9)116<117>
= 2342090630142461438660076396094112368358070139<46> · 256181375852011342805382689051963508114368392834344932319990234698993741<72> (Naoki Yamamoto / GGNFS / 12h)
6·10117-1 =
5(9)117<118>
= 7 · 59 · 319391 · 2936334949<10> · 5651209770127<13> · 3369183553139983757389434865413077244083459<43> · 813592300514340900565043243322628790619572629<45>
6·10118-1 =
5(9)118<119>
= 3019 · 10685679670849<14> · 1859884548196575870380219728826844524032010008416743632214459452493243202834364855362915368168279083229<103>
6·10119-1 =
5(9)119<120>
= 43 · 1549 · 10018997581702311832247721815336646001<38> · 899098152507238243502902200991643338169558507864629178588274218406618965304257<78> (Sander Hoogendoorn)
6·10120-1 =
5(9)120<121>
= 431 · 3931 · 29179 · 22147367289078430552209050468690669789449<41> · 5479973071803456301883906240611609272432415855628157465355568241290929<70> (Sander Hoogendoorn)
6·10121-1 =
5(9)121<122>
= 1783 · 432163 · 58395497057<11> · 529061209631<12> · 31111982718582936591461576351<29> · 81010135135456790395247016252114523867836377342910257137933843<62> (Naoki Yamamoto)
6·10122-1 =
5(9)122<123>
= 19 · 653 · 2200147865988584750385205954057<31> · 21980248526216090623720530301482643199731747929704216226269719100413363351565439099025201<89> (Tetsuya Kobayashi / GMP-ECM B1=1e6)
6·10123-1 =
5(9)123<124>
= 7 · 17 · 12377044669733<14> · 211603440423510579728862990143594923009829638741241111<54> · 19251501438454645628266285085602708447115558638247654467<56> (Chris Monico / GGNFS 0.40.2 / 9.3 hours)
6·10124-1 =
5(9)124<125>
= 173 · 210286778212909799<18> · 2680700663279446705870372166126021<34> · 615240417485281966047467941003628382326281796114799379207812928823845897<72>
6·10125-1 =
5(9)125<126>
= 421 · 93463 · 545647 · 3237911472911<13> · 87903574137334987<17> · 1658444746413726385553<22> · 1831826687633586168097385279<28> · 32319212686491550875095497235386081<35>
6·10126-1 =
5(9)126<127>
= 23 · 424632893 · 1168198956047<13> · 10116059134928881453079<23> · 51985426169802477998413804892299376608244289290425763806142409661802290122180033557<83>
6·10127-1 =
5(9)127<128>
= 39343 · 426514117910624699<18> · 43161036416394488654377663<26> · 1858121172649626356260472352927237318737<40> · 44584558418286167157075563948413243549997<41>
6·10128-1 =
5(9)128<129>
= 139 · 743 · 22020630701<11> · 91724419654932457<17> · 2876291581328565542461701900337221763959410565493433936967839682687873274105449810769594852054991<97>
6·10129-1 =
5(9)129<130>
= 7 · 1747 · 13862783757643<14> · 1505579896991409440084231<25> · 23507478592257788093192445838143633964055287587950570392419447047942786399533866299671807<89>
6·10130-1 =
5(9)130<131>
= 29 · 6480249607560684673<19> · 319272503767055606099326097382575574190042520891734460613410728257546919444714797009986795710388683956004867147<111>
6·10131-1 =
5(9)131<132>
= 1388709004444613171<19> · 298966101353909367241<21> · 96984510904556532020129445851<29> · 121692529420387560303432141445157<33> · 122448015979951131698680701904987<33>
6·10132-1 =
5(9)132<133>
= 379 · 26813 · 30156062637902914306358977610009037869<38> · 19579067133088202404308295814147018632082970323640711916809910912410948535945312249307573<89> (Chris Monico / GGNFS / 16 hours)
6·10133-1 =
5(9)133<134>
= 197 · 578160127 · 65175470809<11> · 8082630215244999152340847242434189096223119260881862086156094076747722368822747693816407490633125405113509456469<112>
6·10134-1 =
5(9)134<135>
= 79801 · 240458481986789454962421757018820831<36> · 31268195286873997919154627378571722629648454815768807050327560441530709249665151616666073434729<95> (Chris Monico / GGNFS v.0.41.0 / 12 hours)
6·10135-1 =
5(9)135<136>
= 7 · 11688976793526772140131<23> · 4288176377231874457726037<25> · 17100313560031931741036065867746303027971296631182315629673482459303226399101595569167831<89>
6·10136-1 =
5(9)136<137>
= 47 · 179053661 · 7129682451345415740088035586396377516622582222028174975255519105990123951747936162829623294956063240990132620847656794576378597<127>
6·10137-1 =
5(9)137<138>
= 71 · 2601072877662976526413355286135870141909302028099951147977<58> · 3248930200273718904077988718142805395852874875460986707043132492411918302127297<79> (Chris Monico / GGNFS v. 0.41.0 / 19.89333 hours on Athlon XP-M 2800+)
6·10138-1 =
5(9)138<139>
= 72931 · 580886831186418963907<21> · 141627487536941694811168483282622959914177340130881863295802596764653763251418984688324886040944017302289396750247<114>
6·10139-1 =
5(9)139<140>
= 17 · 2357 · 6709 · 496808164133221337<18> · 4275770358901813485322672221773875286668931<43> · 105070756286372434011307124537088529236674420342309905106523868789281077<72> (Chris Monico / GGNFS 0.41.2 / 19 hours)
6·10140-1 =
5(9)140<141>
= 19 · 43 · 21817 · 33661554056332274097731497379812683550142727794328353536530556359848520762642901011075268413024350936512121048743669453862043394343591<134>
6·10141-1 =
5(9)141<142>
= 7 · 479 · 35327731857341516423182890620321111244744477883437596583879711889<65> · 50652623205819106586824840511922265124168640897434731460921381256530991847<74> (Chris Monico / GGNFS 0.41.0 / 16.5 hours on Athlon XP 3200+)
6·10142-1 =
5(9)142<143>
= 11068943 · 98206059170719810978229<23> · 1468792004739669205077337<25> · 549489536580391766082523326763<30> · 68389131518913373071500124393756924652992656485018622987807<59>
6·10143-1 =
5(9)143<144>
= 101581 · 5906616394798239828314350124531162323662889713627548458865338990559258128980813341077563717624358886012147941051968379913566513422785757179<139>
6·10144-1 =
5(9)144<145>
= 1291 · 22104893587736689<17> · 1035020246425345865929<22> · 203136391904765037948498779785962575934929809239303476956636924620782292248430861783440819582412600521669<105>
6·10145-1 =
5(9)145<146>
= 195053 · 4434268676207479109989143296941<31> · 141166257655213649896544716751749<33> · 166472072107891429498688521947067<33> · 2951918244671889720741543537462059850380439361<46> (Tetsuya Kobayashi / GMP-ECM B1=1e6)
6·10146-1 =
5(9)146<147>
= 67 · 2979863 · 4889321383997<13> · 614655206605470622752566652685516859447192545532431331873234070967718495888232984700558429661301018373969242601564198075860527<126>
6·10147-1 =
5(9)147<148>
= 7 · 353 · 2428166734115742614326183731282881424524484014569000404694455685957102387697288547146904087414002428166734115742614326183731282881424524484014569<145>
6·10148-1 =
5(9)148<149>
= 23 · 143623072438553111<18> · 70116191139095712136541<23> · 15621998636651197677331299592611109051271<41> · 16582281729960152020747008046431377081820647054098938825685245773453<68> (Chris Monico / GGNFS)
6·10149-1 =
5(9)149<150>
= 1217 · 2089 · 58543 · 2467331209438569905957<22> · 10987226447999824436534198115279323138230080781<47> · 148707109019575208847647232019368309061651691482221984454276421168203433<72> (Chris Monico / GGNFS)
6·10150-1 =
5(9)150<151>
= 93931177 · 651403633 · 136869075743<12> · 403194830459926779059034451<27> · 4233495431238640401985025576851<31> · 419731849111705803960797413538714348813708997815204603705035287073<66> (Naoki Yamamoto)
6·10151-1 =
5(9)151<152>
= 61 · 129113 · 836660367018273797355323968615817<33> · 17524625066162102246330727763070206160904572767<47> · 519581298814572713681606589033971690588245769057952345724971828437<66> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 / 32.65 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Jun 20, 2006)
6·10152-1 =
5(9)152<153>
= 389 · 601 · 3847686757744894459<19> · 170030504027123276489357<24> · 8502194575506696329598293<25> · 103242136299206509564777334525567603879<39> · 4469023146607202468521275116811326802475031<43> (Kenichiro Yamaguchi / GMP-ECM 6.0 B1=3000000, sigma=3722269730 for P39, ppmpqs 2.8 for P25 x P43 / May 8, 2005)
6·10153-1 =
5(9)153<154>
= 72 · 11923 · 10612859 · 331784113069<12> · 453413972988539<15> · 210419824853341366020370755446106047880424773709398731<54> · 30570327461743607247656827644966362380207522643930113459529683<62> (Sinkiti Sibata / GGNFS-0.77.1 gnfs for P54 x P62 / 74.60 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / May 18, 2006)
6·10154-1 =
5(9)154<155>
= 57413 · 33391993 · 394480713417379755453806059<27> · 5080508476226699401820394941107809615305588790497635369<55> · 15615853062739861486377064170042789464317919964935221145123641<62> (Sinkiti Sibata / GGNFS-0.77.1 gnfs for P55 x P62 / 71.45 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / May 25, 2006)
6·10155-1 =
5(9)155<156>
= 17 · 855694920236157839951575243<27> · 23563769814083175297504581851112348513<38> · 1750405235111493782019464819415041844908100509751846238928281927522333980653932785261889133<91> (Makoto Kamada / GMP-ECM 5.0.3 B1=4000000, sigma=3537119689 for P27) (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 19.30 hours on Cygwin on AMD 64 3400+ / May 7, 2007)
6·10156-1 =
5(9)156<157>
= 1171 · 23536848583910572367<20> · 217693790723780714855550770914680773537247315790512529884482679993669479929372757734963455864410694483190035567035652576536759855876107<135>
6·10157-1 =
5(9)157<158>
= 46111621 · 1301190430932801082833327416531290452790631671786164272993135504822092461247458639547718350651780383083908501069611063987535810116065969574134034455219<151>
6·10158-1 =
5(9)158<159>
= 19 · 29 · 433 · 10723 · 234528404571366840872163621146147122281615806692876938358354929728373356887010580951057545820687042213282328648351838796444569243436332401437193346611<150>
6·10159-1 =
5(9)159<160>
= 7 · 181 · 349 · 536923 · 293886441448867<15> · 498147933398573<15> · 2207463153780349797617<22> · 78199838124606128476117365352793388247663893417290287653603335351459518176210809117828458533023213<98>
6·10160-1 =
5(9)160<161>
= 191 · 65357 · 111773 · 1983601 · 1571356525369<13> · 1763243682029<13> · 32747621227427948676885297484609<32> · 238928369616588467154945427484177889875796350816878145671110942435368430895342890353861<87> (Makoto Kamada / GMP-ECM 5.0.3 P-1 B1=50000000, B2=7260750615 for P32)
6·10161-1 =
5(9)161<162>
= 43 · 836569 · 2898421 · 8293782204604425278695261694855447366239429<43> · 373661139043910874867543028013950188940119372163<48> · 1856902068363473523911678753942645197496692067981158293791<58> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 38.23 hours on Cygwin on AMD 64 3200+ / Jul 26, 2007)
6·10162-1 =
5(9)162<163>
= 33413 · 15377792567<11> · 8461863041793557423309640118101540415199<40> · 1379989523873218126548187496324337406517253315539049102957670242333680936574239687581847686601665035459375931<109> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 42.45 hours on Cygwin on AMD 64 3400+ / Jul 27, 2007)
6·10163-1 =
5(9)163<164>
= 13477488289<11> · 301878096961369<15> · 14747237813253598152914843598298806799935984989268911844549944519646669966415897649395885019660468821491089441178650256794887578292958522039<140>
6·10164-1 =
5(9)164<165>
= 87666097 · 3885289277<10> · 44109614707809518761<20> · 21319013138093007519677927<26> · 965994679187553790395623209731067844315549634341<48> · 1939193395768352506478443961407393057426627632037135873<55> (Makoto Kamada / GMP-ECM 5.0.3 B1=4000000, sigma=3040730748 for P26 / Mar 7, 2005) (Anton Korobeynikov / GGNFS-0.73.3 gnfs / 24.63 hours for P48 x P55 / Mar 10, 2005)
6·10165-1 =
5(9)165<166>
= 7 · 49784269 · 58669747 · 73942442923807<14> · 2986756582631123759<19> · 37487702007109387889298593<26> · 35445770155145032934070897037423958625749385808048535416164437097147336566577935431625057711<92>
6·10166-1 =
5(9)166<167>
= 1415744095201<13> · 12712979409464320156621733<26> · 37154591566665333519909747568949477<35> · 64960406415076577673529410226373905391<38> · 1381204303898828183886023860415270650257402155513930927929<58> (matsuix / GMP-ECM 6.0 B1=67108864, sigma=3825239593 for P26 / Nov 10, 2007) (Robert Backstrom / GMP-ECM 6.1.3 B1=792000, sigma=1672330505 for P35, GGNFS-0.77.1-20051202-athlon gnfs for P38 x P58 / 6.46 hours on Cygwin on AMD 64 3400+ / Feb 1, 2008)
6·10167-1 =
5(9)167<168>
= 173 · 1559 · 8623 · 92761 · 1458366583<10> · 919553016868249730947567<24> · 7293628624498449156699219017293493<34> · 284346639497725940029917594329688361811266078086355525897345582582328575687665394870903<87> (JMB / GMP-ECM 6.1.3 B1=3000000, sigma=2910471932 for P34 / Jan 22, 2008)
6·10168-1 =
5(9)168<169>
= 4799 · 2017177 · 4202161651613<13> · 10503821362051<14> · 6720571008125216270124997913782507<34> · 2089441596792376491620750374295583364339925722989928143182632024080598639760461288200867439741680893<100> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=3109165435 for P34 / Oct 31, 2008)
6·10169-1 =
5(9)169<170>
= 1091 · 1979 · 3171084870127<13> · 8763404132688650796165293000571668394740697642320804899959594531259036264646446586019807295045853801975757614166188519966258298147305507733521255756033<151>
6·10170-1 =
5(9)170<171>
= 23 · 1779463768211281<16> · 708009551919839423207<21> · 20705949369879847314793453411381197872582205271858080798569388509550997952298538099335711008680823408881026826113308034411431175636239<134>
6·10171-1 =
5(9)171<172>
= 7 · 17 · 233 · 1851058172908027<16> · 116903711763968455786358981349754710183298335233206279142305747091075085239506777038078929899851633101383722715996025923311042438218146255681384855658531<153>
6·10172-1 =
5(9)172<173>
= 71 · 5333 · 10527309174692505715358220955631<32> · 309793385335839304094931297711583116445907393494103977206383<60> · 48588310663457887601219600419401179699521853543504679254780302170376409574341<77> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=3257129926 for P32 / Oct 5, 2008) (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 36.38 hours on Core 2 Quad Q6700 / Feb 1, 2010)
6·10173-1 =
5(9)173<174>
= 446221 · 13201045994383692917<20> · 20546681584297179439544553169075952341<38> · 53428999410989900919046470530953734472804557616368781<53> · 92784230298861313197303857948581192121788284162444016808767<59> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=1624081815 for P38 / Nov 7, 2008) (Serge Batalov / Msieve-1.38+pol51 gnfs for P53 x P59 / 22.00 hours on Opteron-2.6GHz; Linux x86_64 / Nov 9, 2008)
6·10174-1 =
5(9)174<175>
= 139 · 2371 · 30091 · 1665313208678010547<19> · 4377830453093505504381429331801225862588053958648601821602876203502681051<73> · 82987639321330983463201182406477468083679082354734448996697936818652462173<74> (Sinkiti Sibata / Msieve 1.40 snfs / 62.19 hours / Oct 3, 2009)
6·10175-1 =
5(9)175<176>
= 59 · 33359 · 10379703007<11> · 7176556482829<13> · 2906450927886189094536119<25> · 6758107042624471507946638020763<31> · 20835173422357410987165752695962738961399561620993958049080814342037796143303160261337748469<92> (Makoto Kamada / GMP-ECM 5.0.3 B1=4000000, sigma=2956035645 for P31)
6·10176-1 =
5(9)176<177>
= 19 · 1103 · 1997 · 36996060425134747<17> · 1199957761620461468118405565148809667093672061199543170259030057791043<70> · 322940588839473726687584052243149346589728994478475409111736442256055691359527808711<84> (Sinkiti Sibata / Msieve 1.40 snfs / 70.81 hours / Oct 6, 2009)
6·10177-1 =
5(9)177<178>
= 7 · 20780271302226927560453<23> · 2134599379553078846457397762501<31> · 2612221635774246750954450916549<31> · 630726357249729854245007611079998752429959<42> · 11728287839848260529211822787806892333944451684664859<53> (Sinkiti Sibata / GMP-ECM 6.2.3 B1=11000000, sigma=3657672614 for P31(2134...) / Oct 3, 2009) (Sinkiti Sibata / GMP-ECM B1=43000000, sigma=3697522187 for P42 / Oct 4, 2009)
6·10178-1 =
5(9)178<179>
= 283 · 22271 · 288697 · 8883239 · 165420461 · 1757045845068771165361<22> · 12771419170970104771477204754653297339574846413314204888150310697819871583068908082192775917272469509026773942146174088136665144001<131>
6·10179-1 =
5(9)179<180>
= 67 · 353 · 125707 · 298716705932280059000729938505471<33> · 675589309562746723090472275034259356819506679454841812592974658819494178186471751132798670903173117107700007029230329053233402544370951617<138> (Sinkiti Sibata / GMP-ECM 6.2.3 B1=3000000, sigma=3490299074 for P33 / Oct 4, 2009)
6·10180-1 =
5(9)180<181>
= 937 · 6389 · 279187417 · 681683799034595926517755346160165173<36> · 1667981753435024562937155702752452827541348773356261947<55> · 3157247751124818590631287053704974634760019103743289190249887893957501686709<76> (Sinkiti Sibata / GMP-ECM6.2.3, GMP-ECM B1=3000000, sigma=3992605710 for P36 / Oct 4, 2009) (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 64.41 hours on Core 2 Quad Q6700 / Feb 4, 2010)
6·10181-1 =
5(9)181<182>
= 131 · 487 · 18181 · 674898763500069035186759<24> · 19628097687242489745811747<26> · 48674443951736616443332178819393<32> · 649358366409383652721618856006943917<36> · 123546641542522653581874320775628167353811065357396519639<57> (Makoto Kamada / GMP-ECM 5.0.3 P-1 B1=50000000, B2=7260750615 for P32) (Makoto Kamada / GMP-ECM 5.0.3 B1=4000000, sigma=1577663982 for P26 / Mar 7, 2005) (Anton Korobeynikov / GGNFS-0.73.3 gnfs / 6.23 hours for P36 x P57 / Mar 17, 2005)
6·10182-1 =
5(9)182<183>
= 43 · 47 · 296882731321128154379020286986640277090549233052944087085601187530925284512617516081147946561108362196932211776348342404750123701138050470064324591786244433448787728847105393369619<180>
6·10183-1 =
5(9)183<184>
= 7 · 2837 · 112649776609562047883105198303449664536396037482590034913768341<63> · 2682029434148964127373780620479656968569866368989364416202844775610580864046145940166851280210227212021563042712498321<118> (Wataru Sakai / GGNFS-0.77.1-20060722-nocona snfs / 571.11 hours / Jul 17, 2008)
6·10184-1 =
5(9)184<185>
= 57389 · 2377253 · 7655279 · 2288410247<10> · 82360343640220929920893969059811<32> · 304813453761071548648407916337418821605038270640791430280993090156171195734593548049006713443227437796116990523264844889914829<126> (Makoto Kamada / GMP-ECM 5.0.3 B1=4000000, sigma=1428667152 for P32 / Feb 26, 2005)
6·10185-1 =
5(9)185<186>
= 415379 · 1913269 · 62531010235593733704349<23> · 12073556922214405108958201424621505278694418186302227933168205054778229129711573775526384793298392113271991843510286414751498138521027220461309483532901<152>
6·10186-1 =
5(9)186<187>
= 29 · 163 · 9293 · 4470815127791<13> · 30550828985343982532579565717215293631437559405612284533238990625247538342732520887314352898351299630108221917796895029658790607129637539073830979352837334662178763699<167>
6·10187-1 =
5(9)187<188>
= 17 · 643 · 60962916293<11> · 90037954869774033441994010979418657146032238626587449404797281849471129046167718224517296864491004456917910875540311535849055257008897752156807179815563243483100907506831553<173>
6·10188-1 =
5(9)188<189>
= 21778727 · 185311002839<12> · 57117698157139964753400093009593909972789011805862001560536999047391<68> · 2602836306674356872625815446311670047901248629915432935538570606381323277317170808071072441498712577313<103> (Sinkiti Sibata / Msieve 1.40 snfs / 243.25 hours / Oct 20, 2009)
6·10189-1 =
5(9)189<190>
= 7 · 1741 · 139697 · 8022403 · 1035275921415119<16> · 476094473328492680632931<24> · 891278912958549965968383095535573633910160462305690675152897242758029326139418407283162448515143541256731825127936455935716950663768123<135>
6·10190-1 =
5(9)190<191>
= 13109 · 8578966480482150503<19> · 1068669522076286577048636589543573089449403710797811316339675258967441<70> · 499233008223657734568358907858974997169170262219127947706464089319110649403939282546439796649891157<99> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 140.20 hours on Core 2 Quad Q6700 / Feb 8, 2010)
6·10191-1 =
5(9)191<192>
= 57977 · 7143820526785989427<19> · [1448655020660411709321686029932904914892812371603489889670419419960086718622809920923633397014146921840330621282015047668861645904218955937822148407174568592627956473581<169>] SUBMIT/RESERVE
6·10192-1 =
5(9)192<193>
= 23 · 267413 · 890232504322972376418629865797962384943059627593763817566906419095999519232749088479<84> · 1095815529709465005938774668510968742822557932763346596236533113736034194519679191569679150889348208619<103> (matsui / GGNFS-0.77.1-20060722-nocona / Mar 16, 2009)
6·10193-1 =
5(9)193<194>
= 9029707 · 1516632346151500277954536060378045125068422346041930999287498979457151018659890169586137<88> · 4381242358181442462982697544631107043610426689990288938779511626077241255277831936698304127384847461<100> (Robert Backstrom / Msieve 1.42 snfs / Feb 4, 2010)
6·10194-1 =
5(9)194<195>
= 19 · 552558220648518327302187386107<30> · 57150443497805430547760194830899991379283534240795388543593799035627131426642721828037543684764910233345763252213386580962086660768427630404724977220097501462854303<164> (matsuix / GMP-ECM 6.0 B1=6700417, sigma=3937428304 for P30 / Nov 12, 2007)
6·10195-1 =
5(9)195<196>
= 72 · 4441 · 50101 · [550336101268352742564175065850917931481205184392555598091471053185697161080095645688402284757417068791897730021611279524144412805156235122623724053442449406480212673871521921483484409611<186>] SUBMIT/RESERVE
6·10196-1 =
5(9)196<197>
= 2918889231513601040860699<25> · [20555764621765647911485830050053714542366345013565312334092430892405676656830728219739470267526198082556810843831327605479246095026060161057990843447396804600595052488350701<173>] SUBMIT/RESERVE
6·10197-1 =
5(9)197<198>
= 1887671 · 21510659 · 29874643 · 51335819857675817<17> · 193601769040977856894563633949553<33> · 1977341005678468116703941828020617788403<40> · 25168487085362731602320955256733472748105735580583285164870970125177601063461429215617779<89> (Makoto Kamada / GMP-ECM 5.0.3 B1=4000000, sigma=700259726 for P33) (Robert Backstrom / GMP-ECM 6.0.1 B1=2748000, sigma=1243328466 for P40 / Apr 30, 2008)
6·10198-1 =
5(9)198<199>
= 15209612701033<14> · 288967773607867<15> · 1365160403997191555550151142568146731506730750438226755732436993072562738845607331453801809998365852550737507550448475184701543652559418805186748347318261303141162891205509<172>
6·10199-1 =
5(9)199<200>
= 119813 · 33033053847941390891<20> · [15159978398253593344825911164591246862926799264607272003481374277905250397310855546664187525785667901178698609930590639490945265521886299849320035876678068475100468972565852953<176>] RESERVED
6·10200-1 =
5(9)200<201>
= 97 · 6869 · 987053 · 766069559 · 1190905556603421007771944188126767285541708326790013708666333595933475700804101980774978169443805587542546092080679221455958311038150203287279301660823867861016647772644965703389609<181>

4. References

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