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Factorizations of 199...997

Table of contents

  1. About 199...997
  2. Prime numbers of the form 199...997
  3. Factorizations of 199...997
  4. References

1. About 199...997

First ten terms

17, 197, 1997, 19997, 199997, 1999997, 19999997, 199999997, 1999999997, 19999999997

General term

2·10n-3

Related tables

2. Prime numbers of the form 199...997

Last update

Jan 18, 2009

Searched up to

n≤10000

Difficulty of search

24.32%

Results

  1. 2·101-3 = 17 is prime. (Makoto Kamada / Sep 26, 2004)
  2. 2·102-3 = 197 is prime. (Makoto Kamada / Sep 26, 2004)
  3. 2·103-3 = 1997 is prime. (Makoto Kamada / Sep 26, 2004)
  4. 2·104-3 = 19997 is prime. (Makoto Kamada / Sep 26, 2004)
  5. 2·1013-3 = 1(9)127<14> is prime. (Makoto Kamada / Sep 26, 2004)
  6. 2·1014-3 = 1(9)137<15> is prime. (Makoto Kamada / Sep 26, 2004)
  7. 2·1076-3 = 1(9)757<77> is prime. (Makoto Kamada / PPSIQS / Sep 26, 2004)
  8. 2·10237-3 = 1(9)2367<238> is prime. (Makoto Kamada / PPSIQS / Sep 26, 2004)
  9. 2·10872-3 = 1(9)8717<873> is prime. (Makoto Kamada / PFGW / Sep 26, 2004)
  10. 2·10988-3 = 1(9)9877<989> is prime. (Makoto Kamada / PFGW / Sep 26, 2004)
  11. 2·101280-3 = 1(9)12797<1281> is prime. (Makoto Kamada / PFGW / Sep 26, 2004)
  12. 2·101370-3 = 1(9)13697<1371> is prime. (searched by Makoto Kamada / Sep 26, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Sep 6, 2006)
  13. 2·102686-3 = 1(9)26857<2687> is PRP. (Makoto Kamada / PFGW / Dec 23, 2004)
  14. 2·103612-3 = 1(9)36117<3613> is PRP. (Makoto Kamada / PFGW / Dec 23, 2004)
  15. 2·104051-3 = 1(9)40507<4052> is PRP. (Makoto Kamada / PFGW / Dec 23, 2004)
  16. 2·104645-3 = 1(9)46447<4646> is PRP. (Makoto Kamada / PFGW / Dec 23, 2004)
  17. 2·109162-3 = 1(9)91617<9163> is PRP. (Makoto Kamada / PFGW / Jan 3, 2005)

3. Factorizations of 199...997

Last update

Nov 8, 2009

Completed up to

Range

n≤200

Terms which have not been factored yet

n=172, 178, 179, 183, 185, 187, 193, 195, 196 (9/200)

Results

2·101-3 =
17
= definitely prime number
2·102-3 =
197
= definitely prime number
2·103-3 =
1997
= definitely prime number
2·104-3 =
19997
= definitely prime number
2·105-3 =
199997
= 7 · 28571
2·106-3 =
1999997
= 19 · 105263
2·107-3 =
19999997
= 59 · 257 · 1319
2·108-3 =
199999997
= 743 · 269179
2·109-3 =
1999999997<10>
= 53 · 37735849
2·1010-3 =
19999999997<11>
= 43 · 337 · 1123 · 1229
2·1011-3 =
199999999997<12>
= 73 · 1733 · 336463
2·1012-3 =
1999999999997<13>
= 23 · 97 · 26161 · 34267
2·1013-3 =
19999999999997<14>
= definitely prime number
2·1014-3 =
199999999999997<15>
= definitely prime number
2·1015-3 =
1999999999999997<16>
= 71 · 28169014084507<14>
2·1016-3 =
19999999999999997<17>
= 29 · 293 · 3067 · 767450903
2·1017-3 =
199999999999999997<18>
= 7 · 17 · 1680672268907563<16>
2·1018-3 =
1999999999999999997<19>
= 112957699 · 17705743103<11>
2·1019-3 =
19999999999999999997<20>
= 241 · 82987551867219917<17>
2·1020-3 =
199999999999999999997<21>
= 331 · 431 · 4877 · 287456395901<12>
2·1021-3 =
1999999999999999999997<22>
= 50267717 · 39786967050841<14>
2·1022-3 =
19999999999999999999997<23>
= 53 · 377358490566037735849<21>
2·1023-3 =
199999999999999999999997<24>
= 7 · 67 · 191 · 4372157 · 510655527299<12>
2·1024-3 =
1999999999999999999999997<25>
= 19 · 211 · 11471 · 43490325653166523<17>
2·1025-3 =
19999999999999999999999997<26>
= 20563 · 809707 · 1201200837522317<16>
2·1026-3 =
199999999999999999999999997<27>
= 389 · 17209 · 29876158840183612897<20>
2·1027-3 =
1999999999999999999999999997<28>
= 113 · 8860097 · 1997620911401736077<19>
2·1028-3 =
19999999999999999999999999997<29>
= 509 · 62658571 · 627092674117858723<18>
2·1029-3 =
199999999999999999999999999997<30>
= 7 · 28571428571428571428571428571<29>
2·1030-3 =
1999999999999999999999999999997<31>
= 5237 · 606070113479<12> · 630121869948239<15>
2·1031-3 =
19999999999999999999999999999997<32>
= 43 · 11827 · 39326649113872278841672877<26>
2·1032-3 =
199999999999999999999999999999997<33>
= 599 · 2371 · 6883 · 20459445058501213949971<23>
2·1033-3 =
1999999999999999999999999999999997<34>
= 17 · 6299 · 11813 · 1241427542057<13> · 1273584854099<13>
2·1034-3 =
19999999999999999999999999999999997<35>
= 23 · 47 · 10055497 · 1839927713575003331301821<25>
2·1035-3 =
199999999999999999999999999999999997<36>
= 7 · 53 · 314663749 · 49300544393<11> · 34750228004651<14>
2·1036-3 =
1999999999999999999999999999999999997<37>
= 1613 · 1239925604463732176069435833849969<34>
2·1037-3 =
19999999999999999999999999999999999997<38>
= 8573 · 2332905633967106030561063804969089<34>
2·1038-3 =
199999999999999999999999999999999999997<39>
= 5653633 · 35375483339650805066405972938109<32>
2·1039-3 =
1999999999999999999999999999999999999997<40>
= 24024727 · 4860567927377<13> · 17127126974796668443<20>
2·1040-3 =
19999999999999999999999999999999999999997<41>
= 9976145988074011<16> · 2004782209874335297654727<25>
2·1041-3 =
199999999999999999999999999999999999999997<42>
= 7 · 19603 · 260809 · 16954274587<11> · 329615502427472542979<21>
2·1042-3 =
1999999999999999999999999999999999999999997<43>
= 19 · 6337 · 98327 · 10311465629<11> · 29391458183<11> · 557414635291<12>
2·1043-3 =
19999999999999999999999999999999999999999997<44>
= 109 · 131 · 8833091 · 23949661 · 6620947236743160286544093<25>
2·1044-3 =
199999999999999999999999999999999999999999997<45>
= 29 · 1201 · 218809 · 33872427605755993<17> · 774778366537166689<18>
2·1045-3 =
1999999999999999999999999999999999999999999997<46>
= 3769 · 11125019 · 126823666282673<15> · 376099532000829380399<21>
2·1046-3 =
19999999999999999999999999999999999999999999997<47>
= 647 · 6338564899<10> · 4876798072509021078191981031219049<34>
2·1047-3 =
199999999999999999999999999999999999999999999997<48>
= 7 · 5443 · 40762871 · 987525370892477<15> · 130400901777472032491<21>
2·1048-3 =
1999999999999999999999999999999999999999999999997<49>
= 53 · 1194151159441<13> · 31600563093091571718561868639841689<35>
2·1049-3 =
19999999999999999999999999999999999999999999999997<50>
= 17 · 241 · 311 · 2269 · 39317 · 161461 · 1089735593698011381725554998847<31>
2·1050-3 =
199999999999999999999999999999999999999999999999997<51>
= 71 · 144311 · 4383461 · 243852700434495407<18> · 18261123537479423831<20>
2·1051-3 =
1999999999999999999999999999999999999999999999999997<52>
= 89342573911788731<17> · 22385744135541414977650142665848487<35>
2·1052-3 =
19999999999999999999999999999999999999999999999999997<53>
= 43 · 3110999 · 140742896567473<15> · 1062270653575649523714584464177<31>
2·1053-3 =
199999999999999999999999999999999999999999999999999997<54>
= 72 · 5641 · 723565441067403738662633995275117669829853586533<48>
2·1054-3 =
1999999999999999999999999999999999999999999999999999997<55>
= 211 · 656886980652235583190527<24> · 14429686178846832587868560401<29>
2·1055-3 =
19999999999999999999999999999999999999999999999999999997<56>
= 61 · 463 · 36299 · 64577 · 86111 · 368453 · 60111533 · 158397422352643703820307<24>
2·1056-3 =
199999999999999999999999999999999999999999999999999999997<57>
= 23 · 672 · 46757 · 55243 · 169709 · 4418997809718205768560805948969128889<37>
2·1057-3 =
1999999999999999999999999999999999999999999999999999999997<58>
= 617 · 3469 · 2551886715660056082059<22> · 366166948392750909072952624571<30>
2·1058-3 =
19999999999999999999999999999999999999999999999999999999997<59>
= 167 · 317 · 6091 · 36217 · 81839 · 20926320650104033519325587218683355651331<41>
2·1059-3 =
199999999999999999999999999999999999999999999999999999999997<60>
= 7 · 24359 · 1172931096162755918903544011307055767008967058230164269<55>
2·1060-3 =
1999999999999999999999999999999999999999999999999999999999997<61>
= 19 · 105263157894736842105263157894736842105263157894736842105263<60>
2·1061-3 =
19999999999999999999999999999999999999999999999999999999999997<62>
= 53 · 191000601601<12> · 1975692680562017890358804953016577832115900417449<49>
2·1062-3 =
199999999999999999999999999999999999999999999999999999999999997<63>
= 4145861 · 679928401 · 70949947126910415444647891266160232938407859977<47>
2·1063-3 =
1999999999999999999999999999999999999999999999999999999999999997<64>
= 1793399 · 159075667 · 7010505260167127084147004476059947918274173937609<49>
2·1064-3 =
19999999999999999999999999999999999999999999999999999999999999997<65>
= 1746565317767<13> · 148218399686044608087191<24> · 77257925744689962320417057501<29>
2·1065-3 =
199999999999999999999999999999999999999999999999999999999999999997<66>
= 7 · 17 · 59 · 773 · 723564791 · 50930050051704367752914146546619588270224810241099<50>
2·1066-3 =
1999999999999999999999999999999999999999999999999999999999999999997<67>
= 359 · 8423 · 1395047 · 488266873 · 17702820451<11> · 120840716754001<15> · 453907009693924437841<21>
2·1067-3 =
19999999999999999999999999999999999999999999999999999999999999999997<68>
= 163 · 6661 · 186283 · 2907419 · 434826671 · 3754592877473<13> · 20832581206768470618341726869<29>
2·1068-3 =
199999999999999999999999999999999999999999999999999999999999999999997<69>
= 4929272942288469413<19> · 6265355337053585617939<22> · 6475919213812378888572319171<28>
2·1069-3 =
1999999999999999999999999999999999999999999999999999999999999999999997<70>
= 22783 · 473774831 · 254128194179<12> · 729112006146231857757290002160431335436328591<45>
2·1070-3 =
19999999999999999999999999999999999999999999999999999999999999999999997<71>
= 165527 · 4205472414155209188944371<25> · 28730710303722801189996006104739370162441<41>
2·1071-3 =
199999999999999999999999999999999999999999999999999999999999999999999997<72>
= 7 · 292292453 · 97749457018750228999485760145263043889030650310456600905023807<62>
2·1072-3 =
1999999999999999999999999999999999999999999999999999999999999999999999997<73>
= 29 · 143357 · 4179362655121<13> · 115107344774745155473488635437584064431083661453869669<54>
2·1073-3 =
19999999999999999999999999999999999999999999999999999999999999999999999997<74>
= 43 · 465116279069767441860465116279069767441860465116279069767441860465116279<72>
2·1074-3 =
199999999999999999999999999999999999999999999999999999999999999999999999997<75>
= 532 · 673 · 847507 · 26834343679421<14> · 4651884471734792048380131661572294455090942337043<49>
2·1075-3 =
1999999999999999999999999999999999999999999999999999999999999999999999999997<76>
= 171077 · 73525909 · 123379312751<12> · 1288711252427299289691976770992371416501780989937179<52>
2·1076-3 =
19999999999999999999999999999999999999999999999999999999999999999999999999997<77>
= definitely prime number
2·1077-3 =
199999999999999999999999999999999999999999999999999999999999999999999999999997<78>
= 7 · 23203 · 1231367864992827282186416781081264122250201636487892575467458025747902057<73>
2·1078-3 =
1999999999999999999999999999999999999999999999999999999999999999999999999999997<79>
= 19 · 23 · 307 · 8179 · 4822777 · 45908403975780047456872133<26> · 8232288831717810579373722530878388597<37>
2·1079-3 =
19999999999999999999999999999999999999999999999999999999999999999999999999999997<80>
= 241 · 523 · 1571 · 5647 · 1372638681719<13> · 32352462130214742144908089<26> · 402766851937457023692444225437<30>
2·1080-3 =
199999999999999999999999999999999999999999999999999999999999999999999999999999997<81>
= 47 · 1987 · 16487355097<11> · 501471938213707291<18> · 259021994710197509542516797106845199244858179099<48>
2·1081-3 =
1999999999999999999999999999999999999999999999999999999999999999999999999999999997<82>
= 17 · 94728548632440270893171<23> · 313827973953327557599392191<27> · 3957387137241634817201597568481<31>
2·1082-3 =
19999999999999999999999999999999999999999999999999999999999999999999999999999999997<83>
= 1402504993<10> · 18909138091<11> · 754143246424861575508278194050733980225970187173199288191709719<63>
2·1083-3 =
199999999999999999999999999999999999999999999999999999999999999999999999999999999997<84>
= 7 · 385787823329569<15> · 74059954315926416227569410612850650660129447590211704312173034536059<68>
2·1084-3 =
1999999999999999999999999999999999999999999999999999999999999999999999999999999999997<85>
= 211 · 233713 · 1901624710396775316537341<25> · 21327495454449983020338735825860051020986349407972619<53>
2·1085-3 =
19999999999999999999999999999999999999999999999999999999999999999999999999999999999997<86>
= 71 · 1069 · 13941520301475528498949<23> · 18900957529184282114771140692935766432229545915707371997947<59>
2·1086-3 =
199999999999999999999999999999999999999999999999999999999999999999999999999999999999997<87>
= 161471 · 7562273344413334909707814556227561<34> · 163788380802911156632732710348911066987517958987<48> (Makoto Kamada / GGNFS 0.54.1-k1 / 0.12 hours)
2·1087-3 =
1999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<88>
= 53 · 1019 · 42719 · 454731869459094847<18> · 6923141487770868883<19> · 199478980651013971577<21> · 1380394194751915908017<22>
2·1088-3 =
19999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<89>
= 1031 · 19398642095053346265761396702230843840931134820562560620756547041707080504364694471387<86>
2·1089-3 =
199999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<90>
= 7 · 67 · 52201 · 8169177456550289517691354506398079361026545374532074621024709760357587770970084513<82>
2·1090-3 =
1999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<91>
= 4000853 · 14192805091<11> · 35221606618830262913343738393249032649822049079574497991150497364103099939<74>
2·1091-3 =
19999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<92>
= 1871 · 6709 · 177127 · 1719409 · 7464124611017<13> · 94820315277907<14> · 7391867565690931020532600599163374944095489619<46>
2·1092-3 =
199999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<93>
= 1489 · 8233 · 16314628258551292008434336517105846942520383292613380752344187754615265581346898185381<86>
2·1093-3 =
1999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<94>
= 62014234844721324719<20> · 32250659949410643441501571216321459031954131891410903461965466986948633363<74>
2·1094-3 =
19999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<95>
= 432 · 313 · 170653684700895671770239219522913<33> · 202503753322468777288652868121333740631106564440682715437<57> (Makoto Kamada / GGNFS 0.54.1-k1 / 0.25 hours)
2·1095-3 =
199999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<96>
= 72 · 4081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653<94>
2·1096-3 =
1999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<97>
= 192 · 643 · 5743731053<10> · 1500091411952965086038653440170200318545430389961301405134148425303374129832161763<82>
2·1097-3 =
19999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<98>
= 17 · 14159 · 1289241992537<13> · 38650745043061<14> · 36454802699034857<17> · 45740554784041081835936926224367892182088323307351<50>
2·1098-3 =
199999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<99>
= 1033 · 1801 · 425574857812513991947<21> · 136136864578743359737953547522723<33> · 1855514081798741393807817969446545214189<40>
2·1099-3 =
1999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<100>
= 1637 · 3844549383673931497619<22> · 317786813596113683738897417841728349760581713829816055800984665620078724099<75>
2·10100-3 =
19999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<101>
= 23 · 29 · 53 · 197 · 379 · 3671 · 9187 · 28463 · 1221402604855740137021<22> · 60059632438639530286975417<26> · 107607507117527462741165517473467<33>
2·10101-3 =
1(9)1007<102>
= 7 · 2393 · 397963 · 21610019 · 217194433913<12> · 4359913632001<13> · 1466104189413658796569889069140426117523998627396976056080427<61>
2·10102-3 =
1(9)1017<103>
= 2317751 · 21897763 · 9012245475577<13> · 4372506411149619576025256338954642702426504653677338907773680184342622318497<76>
2·10103-3 =
1(9)1027<104>
= 787 · 1303454060208099067<19> · 19531312895566268888765389214062836488273<41> · 998224205171980635252280650332109241844941<42> (Makoto Kamada / Msieve 1.21 for P41 x P42 / 26 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / May 14, 2007)
2·10104-3 =
1(9)1037<105>
= 397633 · 81143272388834334896650363044075567399043782163<47> · 6198620635061424030493749864953890386771151005333743<52> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 0.86 hours on Cygwin on AMD 64 3400+ / May 15, 2007)
2·10105-3 =
1(9)1047<106>
= 2333 · 857265323617659665666523789112730390055722246035147878268324046292327475353621945992284612087441063009<102>
2·10106-3 =
1(9)1057<107>
= 53299 · 42876259 · 5159197730271147217349752990276548876845323<43> · 1696335989904637732334935062814384104990952215712079<52> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 1.03 hours on Cygwin on AMD 64 3400+ / May 15, 2007)
2·10107-3 =
1(9)1067<108>
= 7 · 5237 · 144512707 · 255054928321<12> · 148016327942507378622392718611581342547343863899729003040292494919737429668418883589<84>
2·10108-3 =
1(9)1077<109>
= 97 · 907 · 2334911 · 62038633 · 9795426399848232136433658361416964220351<40> · 16021201316639818235833142024355288672757596038111<50> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 0.51 hours on Core 2 Quad Q6600 / May 15, 2007)
2·10109-3 =
1(9)1087<110>
= 241 · 911 · 11511113 · 34640887 · 56507163833737820197672277<26> · 4042823160116869432898157597719278823120018001928691757871030681<64>
2·10110-3 =
1(9)1097<111>
= 1304659 · 3513431 · 22141753 · 12373930450664908843<20> · 159250894289275575513806398823291602495061691198560909053340523515792467<72>
2·10111-3 =
1(9)1107<112>
= 1012147 · 1975997557667018723564857673835915138808888432213897783622339442788448713477390141945784555010290007281551<106>
2·10112-3 =
1(9)1117<113>
= 12697 · 831043 · 13815806123380392068501<23> · 137192114622451866628779759037281403166279150792129455795886714703171863952755707<81>
2·10113-3 =
1(9)1127<114>
= 7 · 17 · 53 · 1372831668613383547870044381977<31> · 23098824314409211398591501573261950597735785754115833490357410540732332572989623<80> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=1244196149 for P31 / May 11, 2007)
2·10114-3 =
1(9)1137<115>
= 19 · 211 · 66720394280058370841709380872145894939733576500903<50> · 7477136952660057610131641830487159799848955980602003638351811<61> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 0.65 hours on Core 2 Quad Q6600 / May 15, 2007)
2·10115-3 =
1(9)1147<116>
= 43 · 61 · 181 · 96497 · 829756981 · 526124351571380221566747059280628606635611899137939746959670084844353770479041712935130444030667<96>
2·10116-3 =
1(9)1157<117>
= 503 · 3834191 · 5583119 · 18574254102686318016620255264499950584015414667812075794431937770191719340776172937008476822441053131<101>
2·10117-3 =
1(9)1167<118>
= 9471209741101499<16> · 506583805706942727181861<24> · 50068989168351494592204398161861<32> · 8325386712283388629555879931366734094616947743<46> (Makoto Kamada / Msieve 1.21 for P32 x P46 / 7.4 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / May 14, 2007)
2·10118-3 =
1(9)1177<119>
= 191 · 8248949 · 22950984299621533137884728246439<32> · 553091130404568883549143340580413178416536717655739844547962308344784263446097<78> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 1.06 hours on Core 2 Quad Q6600 / May 15, 2007)
2·10119-3 =
1(9)1187<120>
= 7 · 223 · 128122998078155028827674567584881486226777706598334401024983984625240230621396540679051889814221652786675208199871877<117>
2·10120-3 =
1(9)1197<121>
= 71 · 15565393 · 1809720710842767815340166917761946664738252406802091186211056001325106460010448078677115659855981539067984224299<112>
2·10121-3 =
1(9)1207<122>
= 17417 · 1148303381753459263937532296032611816041798243095825917207326175575587070103921456048688063386346672790951369351782741<118>
2·10122-3 =
1(9)1217<123>
= 23 · 67 · 6389 · 171991496996710309484092016279706178541733683213<48> · 118110223750443992209744996157769492200408400398154132891719193722281<69> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 1.36 hours on Core 2 Quad Q6600 / May 15, 2007)
2·10123-3 =
1(9)1227<124>
= 59 · 1559 · 13003 · 1132294115524073<16> · 1476825069370893260540808898912662128916853503986650844219312049234362445397625242702793784200603323<100>
2·10124-3 =
1(9)1237<125>
= 31536909893<11> · 9336975976397637344374611852234644275771<40> · 67921085334223439767801410472062272050391919676586092874931678368742117499<74> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 1.37 hours on Core 2 Quad Q6600 / May 16, 2007)
2·10125-3 =
1(9)1247<126>
= 7 · 233 · 144593 · 10817778017<11> · 70950032524214449038440162186879<32> · 1104938488904480115616998648501886905041655534575552950019302930656654642413<76> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 1.41 hours on Core 2 Quad Q6600 / May 16, 2007)
2·10126-3 =
1(9)1257<127>
= 47 · 53 · 887 · 10243 · 7010931025589<13> · 16510776897831556985977<23> · 763417782830847162690688109374854069023847014203787937595485836154119973418775879<81>
2·10127-3 =
1(9)1267<128>
= 6299 · 9504490972515427489<19> · 16764844081995121858257311<26> · 19926453316790260570873229151431163816821436679406746821262860054342284432777657<80>
2·10128-3 =
1(9)1277<129>
= 29 · 2477 · 3909575333<10> · 9956140027<10> · 71529536223356588000887317708692914881364823122198486570716063082947853469443365847902713213788499628499<104>
2·10129-3 =
1(9)1287<130>
= 17 · 727 · 43003 · 98411 · 91312817 · 32253271614371<14> · 10480156240669628026286652343<29> · 1238884993026977280505283074694462147755684809988667268631988063351<67>
2·10130-3 =
1(9)1297<131>
= 331 · 7741441883141489944158832660919<31> · 7805130056799676072052136059222932498058574784538345051201955549937727648892976307464232959867873<97> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=1248770251 for P31 / May 11, 2007)
2·10131-3 =
1(9)1307<132>
= 7 · 92767 · 1361827 · 22377233 · 386273829607<12> · 62212943607129307<17> · 43957292806838607565682258237<29> · 9567602985986402661630952546491957560608990072545800111<55>
2·10132-3 =
1(9)1317<133>
= 19 · 883 · 312007369 · 2035213286473<13> · 224921079033736342221790746096952105532091294451<48> · 834662212681919642405556463667806222934803506974724243740903<60> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 3.24 hours on Core 2 Quad Q6600 / May 16, 2007)
2·10133-3 =
1(9)1327<134>
= 557 · 71162352319717499<17> · 5387015255111323942626049346281287077863<40> · 93664776152606764401059753977917406656658975593547100495177002729005709733<74> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 3.51 hours on Cygwin on AMD 64 3400+ / May 16, 2007)
2·10134-3 =
1(9)1337<135>
= 7229 · 66905292289873<14> · 120160125308467<15> · 2221939400887640132398081007<28> · 1548812039046919635536662930007713724729614506751564661212755368239186562789<76>
2·10135-3 =
1(9)1347<136>
= 30169 · 66293214889456064171832012993470118333388577679074546720143193344161225098611157148065895455600119327786801020915509297623388246213<131>
2·10136-3 =
1(9)1357<137>
= 43 · 26265181432486679<17> · 930663416767988537114497<24> · 19027796247545542861547220531447668624061661591338963907296386541991857083085115088901913792033<95>
2·10137-3 =
1(9)1367<138>
= 72 · 283 · 317 · 653 · 17264088293<11> · 7000751848412477959806057766604418499857831431396426422451<58> · 576483264949148720398224057113036271804100390023761971950737<60> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 5.31 hours on Cygwin on AMD 64 3400+ / May 16, 2007)
2·10138-3 =
1(9)1377<139>
= 2792516776165070836944026656509845283656971<43> · 716199815546524866079650590503056034131183398218468977769146136824078266907549975600350599517207<96> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 8.55 hours on Core 2 Quad Q6600 / May 15, 2007)
2·10139-3 =
1(9)1387<140>
= 53 · 113 · 241 · 41803841074986331004467759752042705661<38> · 331468644256359068076837242793801952073119679096103445167011822018914725489819506339762119501373<96> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 4.88 hours on Cygwin on AMD 64 3400+ / May 16, 2007)
2·10140-3 =
1(9)1397<141>
= 438869 · 7036463668833882894493692791<28> · 64765040431139423250597025178825030172814291640805945008454962342549492619879321196452169216447274551849343<107>
2·10141-3 =
1(9)1407<142>
= 1023170883475949245909<22> · 214884373867410502156141386709<30> · 9096555792178228083391163737686299219008089428520929845394614809182168672125704646024235237<91> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=2885552593 for P30 / May 12, 2007)
2·10142-3 =
1(9)1417<143>
= 477623 · 11753001510582599<17> · 3562837145624505123345782996745374516782957870662099008996375345266376225912969224718234215768341650186195378035432153661<121>
2·10143-3 =
1(9)1427<144>
= 7 · 367 · 300364480242690431385063688008727003<36> · 259189448587394079995709224242217573207735348894143323496982198581906017312796640460823662146191460771471<105> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 6.88 hours on Cygwin on AMD 64 3400+ / May 15, 2007)
2·10144-3 =
1(9)1437<145>
= 23 · 211 · 342511487 · 95528206800101<14> · 129614923656859<15> · 3137467624232877973853<22> · 30972672201765739736938580712102556265014782254894828718827693754781089763714082501<83>
2·10145-3 =
1(9)1447<146>
= 17 · 617 · 5231 · 262908713 · 42148020350828467<17> · 19181467147855111285267<23> · 1714933198151159483494274806473776743828925126376508366289766922631413467958045570827771419<91>
2·10146-3 =
1(9)1457<147>
= 149 · 1570076584418759<16> · 2011840031262686851<19> · 4448748130740857754356733813222510745804262837<46> · 95519408968726075748994090904376099816839216393188114257850974641<65> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 11.06 hours on Cygwin on AMD 64 3400+ / May 21, 2007)
2·10147-3 =
1(9)1467<148>
= 6328193 · 2807442959<10> · 9315019792951667720337833<25> · 19847917526656775016866295121378364453<38> · 608892479187265731705994468981721335175199066679255978067665568322719<69> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 12.22 hours on Cygwin on AMD 64 3400+ / May 22, 2007)
2·10148-3 =
1(9)1477<149>
= 163 · 108959 · 752584291 · 3382153529722873153<19> · 442415990509240840865930832306408338652347903847608419715878443771841429161619240227976036213865734077353497221067<114>
2·10149-3 =
1(9)1487<150>
= 7 · 1340484529<10> · 783752398071339239<18> · 36080667658326733243<20> · 153014654938477682173751<24> · 4925878260251331708626032851043074292536566448573065337112672161101403488977937<79>
2·10150-3 =
1(9)1497<151>
= 19 · 250250505961<12> · 420631149137981990420608602170580936167680773461758324158080753438724281697849613462731528024601426730766721198010524787747092795030330583<138>
2·10151-3 =
1(9)1507<152>
= 109 · 5351699092147<13> · 41659474526382217853629<23> · 232357967917576122963811199234684498812206335392391<51> · 3541933914244940727356281485918685455317930382157304642870395201<64> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 19.36 hours on Cygwin on AMD 64 3400+ / May 23, 2007)
2·10152-3 =
1(9)1517<153>
= 53 · 3773584905660377358490566037735849056603773584905660377358490566037735849056603773584905660377358490566037735849056603773584905660377358490566037735849<151>
2·10153-3 =
1(9)1527<154>
= 8990693 · 921385311825262730764919<24> · 18536972846671778888746448349596139528250921<44> · 13024370107576147632519746158741250510023486439810098022457117528012765562134071<80> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 15.54 hours on Core 2 Quad Q6600 / May 23, 2007)
2·10154-3 =
1(9)1537<155>
= 409 · 941 · 782375039 · 3782508951828121<16> · 299550549437767373<18> · 28301991263223655079<20> · 22278480958586947780123247<26> · 92971411597094466836812021838084115808539485027367635029013923<62>
2·10155-3 =
1(9)1547<156>
= 7 · 67 · 71 · 343866401642039<15> · 141423577541870006652967<24> · 1176075110392218874344361392155876226533549449<46> · 105015204394259862679542119957655122688478278199700532417643933576919<69> (Max Voznyy / GGNFS-0.77.1-20060513-pentium4 / May 29, 2007)
2·10156-3 =
1(9)1557<157>
= 29 · 21225989 · 845647631 · 1256265547<10> · 141325597716279667<18> · 21640751895235374752390739537526410686353388293787540565070651038085291064841286534914579421812560407779824260723<113>
2·10157-3 =
1(9)1567<158>
= 43 · 179 · 2733863182530927049217<22> · 496078180985187011253921599029146472448633<42> · 1915938687245105985797755896058272648806048756431283226141003881366035015771171783110925141<91> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 33.62 hours on Cygwin on AMD 64 3400+ / May 25, 2007)
2·10158-3 =
1(9)1577<159>
= 571 · 8308493 · 627908707 · 19547338624799<14> · 765613002593259893435771444351052001550447832917<48> · 4486195411014709158764439342476979691484480174887014872203008588690204116766979<79> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 24.75 hours on Core 2 Quad Q6600 / Jul 21, 2007)
2·10159-3 =
1(9)1587<160>
= 52589677955822857981<20> · 3896040234710280092225221728653869867<37> · 5874207548035032880370430336726048734418437859121<49> · 1661715856862486631625209578684315662965911900561608691<55> (Robert Backstrom / GMP-ECM 5.0 B1=1035500, sigma=66633404 for P37, GGNFS-0.77.1-20051202-athlon gnfs for P49 x P55 / 8.26 hours on Cygwin on AMD 64 3400+ / May 21, 2007)
2·10160-3 =
1(9)1597<161>
= 15073 · 1023361 · 2269267633<10> · 51894756337<11> · 1244702530203678363132386159041482385491409469399<49> · 8845587159376599603050287573778844195307606321990000300773593282138846596884883531<82> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 25.76 hours on Core 2 Quad Q6600 / Nov 2, 2007)
2·10161-3 =
1(9)1607<162>
= 7 · 17 · 6011 · 13899436859622480875900698576457<32> · 20115883014377928383893387007175234704920014913458230162438995215793488735504372470773121940594252835379458979121030084588169<125> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=3358667043 for P32 / May 12, 2007)
2·10162-3 =
1(9)1617<163>
= 293 · 836131 · 1237373 · 922383270197<12> · 994957995931<12> · 7189045804898519263081151795037204467531679369449028078511722416595386581264805003152843804006862295551307784080752976388969<124>
2·10163-3 =
1(9)1627<164>
= 17091071 · 60901619 · 195831422029<12> · 356890571400141061<18> · 274925122460187569485340308736925473178651132530416258339342177005623400903082611229363119849296902241572092263825625137<120>
2·10164-3 =
1(9)1637<165>
= 479 · 1847 · 6359 · 6529 · 7297 · 53292601 · 3925375099814913149<19> · 25826391871341962471<20> · 138113436171072982352946240535290905803608686060864069536374354358642139888493009820335510911672656033<102>
2·10165-3 =
1(9)1647<166>
= 53 · 71881 · 238245737904007<15> · 1403781958927021896724841424949479359<37> · 2551589809127749396488652666886417210600862321179209<52> · 615183048749711493044799857844699363803138896771654939937<57> (Robert Backstrom / GMP-ECM 6.1.3 B1=1158000, sigma=307207771 for P37, GGNFS-0.77.1-20050930-k8 gnfs for P52 x P57 / 11.42 hours on / Jan 15, 2008)
2·10166-3 =
1(9)1657<167>
= 23 · 193 · 849138863352599004001<21> · 5305986400511685990731500472797459622030647462365611131005646934719617025247082571798665631818734627082725026872229312742765194453979020894123<142>
2·10167-3 =
1(9)1667<168>
= 7 · 77550151291532631003351523<26> · 1416288347210403639057173330195587867<37> · 260134302671767920102022631505867541342722247157905131978577734973578865145671722044817281277952599937931<105> (Robert Backstrom / GMP-ECM 6.0.1 B1=2542000, sigma=3477227582 for P37 / Feb 10, 2008)
2·10168-3 =
1(9)1677<169>
= 19 · 1835111041<10> · 2124971131<10> · 296146061250647<15> · 91149659654726308272585876863370948930460841622720609441608189978732758903332080233873633785536467083928748067377658532027062552593899<134>
2·10169-3 =
1(9)1687<170>
= 241 · 14153 · 93889 · 62452486324637325769890221176637781858386879943374557476881667807207732700425836737424325616490243072104147833422224539009061776816394288678935699086007041701<158>
2·10170-3 =
1(9)1697<171>
= 5784407203<10> · 1834192081578759239<19> · 262632027912846093091<21> · 71775898228022209393560983425277906302357674967666842984378404894862822000808900815660770387246947459592034389179117862851<122>
2·10171-3 =
1(9)1707<172>
= 4691 · 2769503838393179<16> · 56976208855415157152685472638791<32> · 1494197448543319671819667216019537347<37> · 1808260737095189373997972911343245292873628525108905125242459880129553110340203951049<85> (suberi / GMP-ECM 6.2.1 B1=3000000, sigma=2750456873 for P32, B1=3000000, sigma=3160208993 for P37 / Jun 29, 2008)
2·10172-3 =
1(9)1717<173>
= 47 · 220028549159<12> · 5375143005441934662479<22> · [359801591086145602805821706247375266506307297671130929620628218204021960118114055049867142055393088726215346465144223757091842812534639291<138>] SUBMIT/RESERVE
2·10173-3 =
1(9)1727<174>
= 7 · 131 · 10631 · 14367479993<11> · 1028215179829719535882320343<28> · 3226925443320811301909314322467<31> · 430361089471713503060658776757056607930496673647784651890647453877752335021838104625034871626829467<99> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=2858726630 for P31 / May 14, 2007)
2·10174-3 =
1(9)1737<175>
= 211 · 774051051841<12> · 4200221359757<13> · 2915451063446069399376601224037079185354693746657059794713463255831700287525577363096092505850841359833761517933310832779031230601002765860131859371<148>
2·10175-3 =
1(9)1747<176>
= 61 · 952681 · 13680046283699<14> · 25157361478776660853308287916031703454789032599368643203698111891201776847435320364875878065064817921353442354089767932359910670007542286114601132482129283<155>
2·10176-3 =
1(9)1757<177>
= 25892411261964964027<20> · 7724270944737886318386430126568103804958048509602408131783640761948598469607350643640066420390696866601585926287587705869592946568962890281971168022378259111<157>
2·10177-3 =
1(9)1767<178>
= 17 · 66090659226826860491<20> · 314129679887073807583524645188651<33> · 129436443535881527128893364288064480493161761142268211249<57> · 43779968748061432046513482796553162771143586000974553425324771322949<68> (suberi / GMP-ECM 6.1.2 B1=3000000, sigma=1809889519 for P33 / May 16, 2007) (Dmitry Domanov / Msieve v. 1.41 gnfs for P57 x P68 / 64.89 hours / May 17, 2009)
2·10178-3 =
1(9)1777<179>
= 43 · 53 · 216787 · 1127811197<10> · 76190529753337<14> · [471102099623677356870547589145734939744740388010571109109458543966504649089159552991614402558331952181630628043006725855151139635783414264769329301<147>] SUBMIT/RESERVE
2·10179-3 =
1(9)1787<180>
= 72 · 8969703468441893<16> · [455046553926964512105036094622354360817454845884983885513196835126109015968017485727090758919686051293496237807079087462451507308355934285854940252361425136245321<162>] SUBMIT/RESERVE
2·10180-3 =
1(9)1797<181>
= 2593 · 51067720369<11> · 2039081640448510323571<22> · 112032125257256292325042410655727<33> · 905172686450661562749851540460137766673<39> · 73041953120006531682243304867114152425466458123310047541535943923877620801<74> (suberi / GMP-ECM 6.1.3 B1=3000000, sigma=3566521925 for P33 / Sep 10, 2007) (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona gnfs for P39 x P74 / 19.07 hours on Core 2 Quad Q6600 / Sep 15, 2007)
2·10181-3 =
1(9)1807<182>
= 59 · 1164613849752444074993<22> · 65053696559439275202720977<26> · 29646802258927195774388196337379<32> · 150919791744741283064128923837226378867962889040741916589329187017248321610532109055108292989991354157<102> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=4215421620 for P32 / May 14, 2007)
2·10182-3 =
1(9)1817<183>
= 645503 · 18550824102112777026647<23> · 2381336767002444014015255401<28> · 7013708399743531402140830818139282059258463638362124055738476138251407779540967821286042235365980761678081831747998387238404717<127>
2·10183-3 =
1(9)1827<184>
= 84061 · 16815977 · 200270244249717633911873<24> · [7064751842768502977659281894777172164219840072412649121313361502805200153508812975706062860389517603066341772805289776004432861208956005774618961337<148>] SUBMIT/RESERVE
2·10184-3 =
1(9)1837<185>
= 292 · 2713 · 5237 · 66857737 · 89177151216694919128342839012937<32> · 280734873559781758253348251445739908956056985830730029555749391702366572037148720479831472201011105110825184173089405824194320945511353<135> (suberi / GMP-ECM 6.1.2 B1=3000000, sigma=3668427895 for P32 / May 16, 2007)
2·10185-3 =
1(9)1847<186>
= 7 · 10139 · 1629098585915315381840811732409037<34> · [1729774401844928654956193898363519632991312797796196776125859358920365912442809486382638218734874672877056576604898068320294799461787530626132748997<148>] (suberi / GMP-ECM 6.1.2 B1=3000000, sigma=3484509631 for P34 / May 16, 2007) SUBMIT/RESERVE
2·10186-3 =
1(9)1857<187>
= 19 · 536702269647034089326974744111747439562722018687<48> · 196129518818625224605331844109132005572907239230106882174824783188659356706656419547350123734666037979415918599396117880712943463613520849<138> (matsui / GGNFS-0.77.1-20060513-prescott snfs / Apr 29, 2008)
2·10187-3 =
1(9)1867<188>
= 10596105529<11> · [1887485920677451569385931886749143379544007181999442316048681549517248111959606739775420747416378434975475223959521590755572777950199669061827441903726249685975546308661154520293<178>] SUBMIT/RESERVE
2·10188-3 =
1(9)1877<189>
= 23 · 67 · 4403881 · 201496271 · 146259730403886186279957041137190761363460033867303913880003445269962997670445012943335442114705790082617920870515179332209167952282006353839688894523254296294118406917567<171>
2·10189-3 =
1(9)1887<190>
= 31618164809434211754592287712179187<35> · 26515433818872756128486451063540368813<38> · 484578537409999154675042390540664390207331844965054363441<57> · 4923006679232260879844150105623901082760825132994000095977307<61> (Jo Yeong Uk / GMP-ECM 6.1.2 B1=3000000, sigma=1799138545 for P38 / May 15, 2007) (suberi / GMP-ECM 6.1.3 B1=3000000, sigma=2083112402 for P35 / Sep 12, 2007) (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 gnfs for P57 x P61 / 89.74 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Sep 22, 2007)
2·10190-3 =
1(9)1897<191>
= 71 · 433 · 461 · 3896947 · 362124848020381435553269669228501465689771701143726180072031580407100567034965962565918393207796527030962525986428762374804385655016892692252848716727565796737003612950351342637<177>
2·10191-3 =
1(9)1907<192>
= 7 · 53 · 829 · 1031 · 12110972033<11> · 1278085313563<13> · 18580007275894843<17> · 117121349237684572025004166361887<33> · 49371617551587041843675930397116659530937545163<47> · 379266725313477244975216442892897216971059794842475211319820147649<66> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=3133556457 for P33 / May 14, 2007) (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 / 56.52 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / May 18, 2007)
2·10192-3 =
1(9)1917<193>
= 137881619042308173307367<24> · 14505196659942842895206338205973180372318448741832572534853326241618359742526002027358440505744124609747208577150542918462980365995792429450917677922476006106784912608891<170>
2·10193-3 =
1(9)1927<194>
= 172 · 7561 · 498479939 · 57498745506438625549628335013<29> · [319335249453774412030453768451900321122872125129744012335039633714538880913523513879850867231854992025457259100307287333054414635105522672220090535899<150>] SUBMIT/RESERVE
2·10194-3 =
1(9)1937<195>
= 46325179 · 125056452794705324377<21> · 34522861323878792390385877356200006655021210098971303161875903570112776063389543009387926531293432732559380227080738279210193247596555080851604262310465262862599586559<167>
2·10195-3 =
1(9)1947<196>
= 244507 · 13390259 · 21318959 · [28653899071291502788707083019206896873843843068015878413618962917713759131869582256565628826725265097975622464840884985405096220178881163844240063242952528237607837727985173491<176>] SUBMIT/RESERVE
2·10196-3 =
1(9)1957<197>
= 601 · 863 · 1009 · 4513 · 100531969 · 4588440736723<13> · [18357727236410160891208283652640137365440641424685222037060969828800623678702889344332756346452051414713297588937163937352473192811334240301262000486561476130665161<164>] SUBMIT/RESERVE
2·10197-3 =
1(9)1967<198>
= 7 · 229 · 45003138917615480291651707486311828111477830485732830843961796036510537<71> · 2772385807556537886278044630282889688258769602192237958344592362510261040148261536809278151720138041797820440202530552797127<124> (Wataru Sakai / Msieve / 744.51 hours / May 14, 2009)
2·10198-3 =
1(9)1977<199>
= 197 · 11903 · 4205947 · 202788601485676509531082557252180775897090576494738829512582300906640638515328879905860195846578508304986895285186285822618395045725527941023479420310437994781872266708839494968756465861<186>
2·10199-3 =
1(9)1987<200>
= 43 · 241 · 15953688693543275865802877<26> · 120971588687236521670810291211217797704710202102135926263422880462220595108007984055675529721463612199695520132939911182253886288797795503983566971990109205724983490250547<171>
2·10200-3 =
1(9)1997<201>
= 3917 · 1353143889460780219324261867805948229627354629623799<52> · 107421636386525513520653234479254640339061189356540018700131<60> · 351269691736020689086731151005390507435230742784114223916529804772069637453814458555389<87> (matsui / GGNFS-0.77.1-20060722-nocona / Feb 14, 2009)

4. References

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