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Factorizations of 188...883

Table of contents

  1. About 188...883
  2. Prime numbers of the form 188...883
  3. Factorizations of 188...883
  4. References

1. About 188...883

First ten terms

13, 183, 1883, 18883, 188883, 1888883, 18888883, 188888883, 1888888883, 18888888883

General term

(17·10n-53)/9

2. Prime numbers of the form 188...883

Last update

Jan 18, 2009

Searched up to

n≤10000

Difficulty of search

12.61%

Results

  1. (17·101-53)/9 = 13 is prime. (Makoto Kamada / Sep 26, 2004)
  2. (17·1016-53)/9 = 1(8)153<17> is prime. (Makoto Kamada / PPSIQS / Sep 26, 2004)
  3. (17·1022-53)/9 = 1(8)213<23> is prime. (Makoto Kamada / PPSIQS / Sep 26, 2004)
  4. (17·1028-53)/9 = 1(8)273<29> is prime. (Makoto Kamada / PPSIQS / Sep 26, 2004)
  5. (17·1034-53)/9 = 1(8)333<35> is prime. (Makoto Kamada / PPSIQS / Sep 26, 2004)
  6. (17·1090-53)/9 = 1(8)893<91> is prime. (Makoto Kamada / PPSIQS / Sep 26, 2004)
  7. (17·102068-53)/9 = 1(8)20673<2069> is prime. (searched by Makoto Kamada / Sep 26, 2004) (certified by Sinkiti Sibata / PRIMO 3.0.4 / Oct 7, 2007)
  8. (17·102374-53)/9 = 1(8)23733<2375> is PRP. (Makoto Kamada / Sep 26, 2004)
  9. (17·102854-53)/9 = 1(8)28533<2855> is PRP. (Makoto Kamada / Sep 26, 2004)
  10. (17·103720-53)/9 = 1(8)37193<3721> is PRP. (Makoto Kamada / PFGW / Dec 17, 2004)
  11. (17·104242-53)/9 = 1(8)42413<4243> is PRP. (Makoto Kamada / PFGW / Dec 18, 2004)

3. Factorizations of 188...883

Last update

Nov 8, 2009

Completed up to

Range

n≤200

Terms which have not been factored yet

n=175, 177, 179, 180, 181, 184, 188, 192, 193, 194, 195, 196 (12/200)

Results

(17·101-53)/9 =
13
= definitely prime number
(17·102-53)/9 =
183
= 3 · 61
(17·103-53)/9 =
1883
= 7 · 269
(17·104-53)/9 =
18883
= 23 · 821
(17·105-53)/9 =
188883
= 32 · 31 · 677
(17·106-53)/9 =
1888883
= 47 · 40189
(17·107-53)/9 =
18888883
= 13 · 1452991
(17·108-53)/9 =
188888883
= 3 · 89 · 593 · 1193
(17·109-53)/9 =
1888888883<10>
= 7 · 4099 · 65831
(17·1010-53)/9 =
18888888883<11>
= 51539 · 366497
(17·1011-53)/9 =
188888888883<12>
= 3 · 62962962961<11>
(17·1012-53)/9 =
1888888888883<13>
= 139 · 13589128697<11>
(17·1013-53)/9 =
18888888888883<14>
= 132 · 267419 · 417953
(17·1014-53)/9 =
188888888888883<15>
= 32 · 43 · 59 · 283 · 29231897
(17·1015-53)/9 =
1888888888888883<16>
= 72 · 38548752834467<14>
(17·1016-53)/9 =
18888888888888883<17>
= definitely prime number
(17·1017-53)/9 =
188888888888888883<18>
= 3 · 192 · 113 · 1543474688377<13>
(17·1018-53)/9 =
1888888888888888883<19>
= 4152877 · 454838630879<12>
(17·1019-53)/9 =
18888888888888888883<20>
= 13 · 131 · 1913 · 25933 · 223575409
(17·1020-53)/9 =
188888888888888888883<21>
= 3 · 31 · 2803 · 167413 · 4328238529<10>
(17·1021-53)/9 =
1888888888888888888883<22>
= 7 · 103 · 487 · 42620723 · 126218023
(17·1022-53)/9 =
18888888888888888888883<23>
= definitely prime number
(17·1023-53)/9 =
188888888888888888888883<24>
= 33 · 4057 · 1724398514582832497<19>
(17·1024-53)/9 =
1888888888888888888888883<25>
= 277 · 3881 · 1757045468099134159<19>
(17·1025-53)/9 =
18888888888888888888888883<26>
= 13 · 29 · 127 · 990994561 · 398098067957<12>
(17·1026-53)/9 =
188888888888888888888888883<27>
= 3 · 23 · 71 · 64919 · 3071617 · 193357084279<12>
(17·1027-53)/9 =
1888888888888888888888888883<28>
= 7 · 9784133 · 343545019 · 80279076547<11>
(17·1028-53)/9 =
18888888888888888888888888883<29>
= definitely prime number
(17·1029-53)/9 =
188888888888888888888888888883<30>
= 3 · 155231 · 350483999 · 1157280156609169<16>
(17·1030-53)/9 =
1888888888888888888888888888883<31>
= 149 · 397 · 2447 · 401119 · 32532874175257427<17>
(17·1031-53)/9 =
18888888888888888888888888888883<32>
= 13 · 92377 · 94463 · 4520368471<10> · 36835251071<11>
(17·1032-53)/9 =
188888888888888888888888888888883<33>
= 32 · 20987654320987654320987654320987<32>
(17·1033-53)/9 =
1888888888888888888888888888888883<34>
= 7 · 827 · 20681 · 13411847 · 603469661 · 1949338661<10>
(17·1034-53)/9 =
18888888888888888888888888888888883<35>
= definitely prime number
(17·1035-53)/9 =
188888888888888888888888888888888883<36>
= 3 · 19 · 31 · 43 · 41231 · 7756387 · 7773526240684986619<19>
(17·1036-53)/9 =
1888888888888888888888888888888888883<37>
= 11801297173<11> · 160057734433672911703135271<27>
(17·1037-53)/9 =
18888888888888888888888888888888888883<38>
= 13 · 733 · 24421 · 37403617 · 2170111458225427295311<22>
(17·1038-53)/9 =
188888888888888888888888888888888888883<39>
= 3 · 773803 · 81368207364100375629149748660787<32>
(17·1039-53)/9 =
1888888888888888888888888888888888888883<40>
= 7 · 3251 · 12355051 · 6718106123871269003792356069<28>
(17·1040-53)/9 =
18888888888888888888888888888888888888883<41>
= 4003 · 304506173 · 15496182436389757774844554757<29>
(17·1041-53)/9 =
188888888888888888888888888888888888888883<42>
= 32 · 20987654320987654320987654320987654320987<41>
(17·1042-53)/9 =
1888888888888888888888888888888888888888883<43>
= 2103106799<10> · 131087114267<12> · 6851490840606215537351<22>
(17·1043-53)/9 =
18888888888888888888888888888888888888888883<44>
= 13 · 54577 · 26622779797193927688458351558192150383<38>
(17·1044-53)/9 =
188888888888888888888888888888888888888888883<45>
= 3 · 4032748307550797<16> · 15612916592159495596993945813<29>
(17·1045-53)/9 =
1888888888888888888888888888888888888888888883<46>
= 7 · 2086960377375157<16> · 129298702920588572237307034817<30>
(17·1046-53)/9 =
18888888888888888888888888888888888888888888883<47>
= 11519 · 959805453907614191<18> · 1708474182082880838394627<25>
(17·1047-53)/9 =
188888888888888888888888888888888888888888888883<48>
= 3 · 7607893375738040774981<22> · 8276004914021936313279581<25>
(17·1048-53)/9 =
1888888888888888888888888888888888888888888888883<49>
= 23 · 3559 · 261167 · 88355235246888634304099442613643384957<38>
(17·1049-53)/9 =
18888888888888888888888888888888888888888888888883<50>
= 13 · 1452991452991452991452991452991452991452991452991<49>
(17·1050-53)/9 =
188888888888888888888888888888888888888888888888883<51>
= 33 · 31 · 29717 · 7594094369425289793209728011658239254453627<43>
(17·1051-53)/9 =
1888888888888888888888888888888888888888888888888883<52>
= 7 · 84960544993514627251<20> · 3176077435259718347112632798519<31>
(17·1052-53)/9 =
18888888888888888888888888888888888888888888888888883<53>
= 47 · 89 · 4515632055675086992323425505352352113050176640901<49>
(17·1053-53)/9 =
188888888888888888888888888888888888888888888888888883<54>
= 3 · 19 · 29 · 19433 · 838993 · 40833701 · 171639257024090722305321363331219<33>
(17·1054-53)/9 =
1888888888888888888888888888888888888888888888888888883<55>
= 167 · 9341 · 19319 · 59443 · 20371783 · 51758557637957409188619667960099<32>
(17·1055-53)/9 =
18888888888888888888888888888888888888888888888888888883<56>
= 13 · 103 · 14106713135839349431582441291179155256825159737781097<53>
(17·1056-53)/9 =
188888888888888888888888888888888888888888888888888888883<57>
= 3 · 43 · 13831 · 105867612799294747328570909909090235387918549942517<51>
(17·1057-53)/9 =
1888888888888888888888888888888888888888888888888888888883<58>
= 72 · 8563 · 2317984129<10> · 1773392884339<13> · 1095138301451398651303731887339<31>
(17·1058-53)/9 =
18888888888888888888888888888888888888888888888888888888883<59>
= 139 · 1597 · 26203 · 52423698933087721<17> · 61945251120519856261418645774527<32>
(17·1059-53)/9 =
188888888888888888888888888888888888888888888888888888888883<60>
= 32 · 7559287 · 19181531 · 72783636466081<14> · 1988685237387679990328727737191<31>
(17·1060-53)/9 =
1888888888888888888888888888888888888888888888888888888888883<61>
= 229 · 11503 · 192082787709791872717259<24> · 3733114922925761149990536928651<31>
(17·1061-53)/9 =
18888888888888888888888888888888888888888888888888888888888883<62>
= 13 · 71 · 17050705256819578185948301537<29> · 1200224157520245279672184963433<31>
(17·1062-53)/9 =
188888888888888888888888888888888888888888888888888888888888883<63>
= 3 · 61 · 503 · 271919 · 3414349 · 1203554034310669<16> · 1836429577958211619303050039653<31>
(17·1063-53)/9 =
1888888888888888888888888888888888888888888888888888888888888883<64>
= 7 · 853 · 4423 · 33703951 · 2122079190734117880851160984674084615116000348601<49>
(17·1064-53)/9 =
18888888888888888888888888888888888888888888888888888888888888883<65>
= 291691 · 1247959 · 3012437 · 3032047641632925571987<22> · 5681056010194894616897153<25>
(17·1065-53)/9 =
188888888888888888888888888888888888888888888888888888888888888883<66>
= 3 · 31 · 491 · 534408034690354291<18> · 7740499594725429529304049414113129048173151<43>
(17·1066-53)/9 =
1888888888888888888888888888888888888888888888888888888888888888883<67>
= 181 · 7116740989<10> · 789455777753<12> · 1857457430840842475865961041446497355845579<43>
(17·1067-53)/9 =
18888888888888888888888888888888888888888888888888888888888888888883<68>
= 13 · 127 · 36385573957<11> · 226931298507928805717273<24> · 1385593095265702887218312157653<31>
(17·1068-53)/9 =
188888888888888888888888888888888888888888888888888888888888888888883<69>
= 32 · 2377 · 8829471737899728363898886967180334169536244981484078384933804931<64>
(17·1069-53)/9 =
1888888888888888888888888888888888888888888888888888888888888888888883<70>
= 7 · 1202807 · 24346982507<11> · 193908423075957744417713<24> · 47519362614957344992135522537<29>
(17·1070-53)/9 =
18888888888888888888888888888888888888888888888888888888888888888888883<71>
= 23 · 732352460369<12> · 2523411855224439317212687<25> · 444396154203768726737303602010107<33>
(17·1071-53)/9 =
188888888888888888888888888888888888888888888888888888888888888888888883<72>
= 3 · 19 · 3313840155945419103313840155945419103313840155945419103313840155945419<70>
(17·1072-53)/9 =
1888888888888888888888888888888888888888888888888888888888888888888888883<73>
= 59 · 32015065913370998116760828625235404896421845574387947269303201506591337<71>
(17·1073-53)/9 =
18888888888888888888888888888888888888888888888888888888888888888888888883<74>
= 13 · 52263168301009<14> · 27801442205397282358554324290585951296867515552686339305999<59>
(17·1074-53)/9 =
188888888888888888888888888888888888888888888888888888888888888888888888883<75>
= 3 · 710921243 · 88565313785345647581054154775007845648189419714615227727782165827<65>
(17·1075-53)/9 =
1888888888888888888888888888888888888888888888888888888888888888888888888883<76>
= 7 · 10795981329907<14> · 24994603232015253899148664835074392176584394696585881366712567<62>
(17·1076-53)/9 =
18888888888888888888888888888888888888888888888888888888888888888888888888883<77>
= 109 · 881 · 10822807 · 31974300573899<14> · 3898886869633027<16> · 145788210321262542318941099030321257<36>
(17·1077-53)/9 =
188888888888888888888888888888888888888888888888888888888888888888888888888883<78>
= 34 · 43 · 7283 · 73243 · 2332541 · 43586020298657272033175817483246697795401150564407215082269<59>
(17·1078-53)/9 =
1888888888888888888888888888888888888888888888888888888888888888888888888888883<79>
= 587677 · 496328597 · 430951521263<12> · 253104211891576618491937<24> · 59370489392798632052612777597<29>
(17·1079-53)/9 =
18888888888888888888888888888888888888888888888888888888888888888888888888888883<80>
= 13 · 332617 · 412384261 · 1036763971<10> · 10217311621998305543797278929043504778297708866118148233<56>
(17·1080-53)/9 =
188888888888888888888888888888888888888888888888888888888888888888888888888888883<81>
= 3 · 31 · 571 · 13243128133<11> · 23866116788370922368214741<26> · 11254209945188910691274384704852069915637<41>
(17·1081-53)/9 =
1888888888888888888888888888888888888888888888888888888888888888888888888888888883<82>
= 7 · 29 · 5919269 · 406251889 · 3869429192252864276645646413364984605223981139747451491430849621<64>
(17·1082-53)/9 =
18888888888888888888888888888888888888888888888888888888888888888888888888888888883<83>
= 1091 · 4073 · 1278161832671<13> · 115649832101737<15> · 28756524732446171559109582907035557686159835710303<50>
(17·1083-53)/9 =
188888888888888888888888888888888888888888888888888888888888888888888888888888888883<84>
= 3 · 349 · 1553 · 3943694143244656699<19> · 2183682737197394633914157<25> · 13489489306705111507932505516174891<35>
(17·1084-53)/9 =
1888888888888888888888888888888888888888888888888888888888888888888888888888888888883<85>
= 283316308855409<15> · 5771109098205160017822250646671<31> · 1155248870405503948338477679439320562797<40>
(17·1085-53)/9 =
18888888888888888888888888888888888888888888888888888888888888888888888888888888888883<86>
= 13 · 19571 · 9656607736140522644929918094131<31> · 7688213808741051604923308140008887699397198633191<49>
(17·1086-53)/9 =
188888888888888888888888888888888888888888888888888888888888888888888888888888888888883<87>
= 32 · 50341 · 5634067496575774947991<22> · 75761568425772673681962111623<29> · 976722206140044652513825027999<30>
(17·1087-53)/9 =
1888888888888888888888888888888888888888888888888888888888888888888888888888888888888883<88>
= 7 · 18253 · 155461 · 23476697 · 1632582545897<13> · 2481078568040057202805333834630633226705609179838028148277<58>
(17·1088-53)/9 =
18888888888888888888888888888888888888888888888888888888888888888888888888888888888888883<89>
= 2521 · 285101 · 1213633 · 52115281 · 31282124921<11> · 104415865369<12> · 1514273141539<13> · 84006986790143122629725881207741<32>
(17·1089-53)/9 =
188888888888888888888888888888888888888888888888888888888888888888888888888888888888888883<90>
= 3 · 19 · 103 · 219714178743778870959555396659231461649<39> · 146432085455201027658532262339648199757602917677<48> (Makoto Kamada / GGNFS-0.54.5b)
(17·1090-53)/9 =
1888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883<91>
= definitely prime number
(17·1091-53)/9 =
18888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883<92>
= 132 · 97 · 435181 · 1132675328911502137<19> · 318509463629715691505846383<27> · 7339226068669195546353022642342729681<37>
(17·1092-53)/9 =
188888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883<93>
= 3 · 232 · 79595079972655229147337841381655400719111<41> · 1495351400332865014995535500443407380651146625719<49> (Makoto Kamada / GGNFS-0.54.5b)
(17·1093-53)/9 =
1888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883<94>
= 7 · 277 · 983 · 17137 · 76549741 · 342658722832633<15> · 385396031877529<15> · 5720414938048517722683818149227254239107476611<46>
(17·1094-53)/9 =
18888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883<95>
= 3391 · 167821037 · 81619148516554874134925700720657042662869<41> · 406668151888876876773881814279552153048221<42> (Makoto Kamada / GGNFS-0.54.5b)
(17·1095-53)/9 =
188888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883<96>
= 32 · 31 · 401 · 809 · 276902651773999<15> · 7536716853999325427537465507017305768026843387997159619473629775359654947<73>
(17·1096-53)/9 =
1888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883<97>
= 71 · 89 · 141632089 · 2110553647170967608833503415342595190300435676168279479827413834401728578788359671813<85>
(17·1097-53)/9 =
18888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883<98>
= 13 · 179 · 13337 · 689093 · 48767374319995596305129<23> · 6522929962696023550890850999<28> · 2776527314919077655096385020512839<34>
(17·1098-53)/9 =
188888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883<99>
= 3 · 43 · 47 · 733 · 102132040443007<15> · 167593427955402399431586244158329<33> · 2483109528283539287324070841842142967974940759<46>
(17·1099-53)/9 =
1888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883<100>
= 72 · 2087 · 17959 · 243869243399<12> · 9882807262175504533<19> · 3481428345556494471379<22> · 122577543824213124461803850912600316443<39>
(17·10100-53)/9 =
18888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883<101>
= 409 · 647 · 749437853 · 66507566773<11> · 1432096024790847623130118358255312319118455351525380904326868539024158827709<76>
(17·10101-53)/9 =
1(8)1003<102>
= 3 · 463 · 2351 · 59747 · 139318629690671<15> · 6949062846550674074487698038696873659116645794527626408313207048699132116981<76>
(17·10102-53)/9 =
1(8)1013<103>
= 8893 · 9931 · 21387751906561763165605286268221479234366843226458774799335802609679892448594604342989101907501<95>
(17·10103-53)/9 =
1(8)1023<104>
= 13 · 1439 · 3623 · 278698051037806867722949001983016963748706761122419940292090213726305585570106102102188414312503<96>
(17·10104-53)/9 =
1(8)1033<105>
= 33 · 139 · 1215463 · 15853792454098265153552008138381<32> · 2611878293362696035834569502178477397915530892823191844676083137<64> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 0.60 hours on Cygwin on AMD 64 X2 6000+ / May 3, 2008)
(17·10105-53)/9 =
1(8)1043<106>
= 7 · 1507889 · 51241951 · 354185281722766111<18> · 11492814405145589190698862712093151<35> · 857939055847532207005818807697300707611<39> (Makoto Kamada / Msieve 1.35 for P35 x P39 / 3.8 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / May 2, 2008)
(17·10106-53)/9 =
1(8)1053<107>
= 8630106820148450673420782464300565409835605393871<49> · 2188720172592715591130753702142474055753413658268136225373<58> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 0.68 hours on Cygwin on AMD 64 X2 6000+ / May 3, 2008)
(17·10107-53)/9 =
1(8)1063<108>
= 3 · 19 · 9789899963<10> · 1060679948543<13> · 93231858661753747555233330990664897834019<41> · 3422981886629292384067736826750714955820389<43> (Robert Backstrom / Msieve v. 1.34 for P41 x P43 / May 3, 2008)
(17·10108-53)/9 =
1(8)1073<109>
= 523 · 1567 · 436466083 · 23056961040173<14> · 402659857745813<15> · 23065712250659218583<20> · 24659141584044872210885936907639037826296940683<47>
(17·10109-53)/9 =
1(8)1083<110>
= 13 · 29 · 1272 · 1489 · 6379 · 133163092855224104302363788449929<33> · 2455989164158808006628046290075502317087684176170758096093506249<64> (Sinkiti Sibata / Msieve v. 1.35 for P33 x P64 / 7.11 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / May 3, 2008)
(17·10110-53)/9 =
1(8)1093<111>
= 3 · 31 · 1123 · 353321 · 753913910669<12> · 6789729922027019037805710068563120180055137942658005558540560954764387097184152438047953<88>
(17·10111-53)/9 =
1(8)1103<112>
= 7 · 741937667 · 21406727974433936850882602900693924335418266933<47> · 16989893695587092805835674132504936884778981121981724779<56> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 0.78 hours on Core 2 Quad Q6700 / May 3, 2008)
(17·10112-53)/9 =
1(8)1113<113>
= 223 · 4001 · 8549198048140881562228719565616138334096186877231<49> · 2476324871342590569760961715536698238992882278782339631491<58> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 0.93 hours on Cygwin on AMD 64 X2 6000+ / May 3, 2008)
(17·10113-53)/9 =
1(8)1123<114>
= 32 · 898374064668333973654196301031<30> · 23361821257313318306446981242709332423583119435491566355727548435325558375139533677<83> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=451145600 for P30 / Apr 25, 2008)
(17·10114-53)/9 =
1(8)1133<115>
= 23 · 135963488010063195216983<24> · 45407051110420976718615060333667020841308287<44> · 13302491197732416716475505613313966954879008701<47> (Sinkiti Sibata / Msieve v. 1.35 for P44 x P47 / 2.29 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / May 3, 2008)
(17·10115-53)/9 =
1(8)1143<116>
= 13 · 6856083938923<13> · 211927313891623489737243495802133402181171242652635087164624102001258921183562304971743037601660213117<102>
(17·10116-53)/9 =
1(8)1153<117>
= 3 · 3238037953<10> · 200976479996422199<18> · 40639575279507524445937749287780453<35> · 2380722773741498849314583916531534950249488824911854571<55> (Sinkiti Sibata / Msieve v. 1.35 for P35 x P55 / 2.54 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / May 3, 2008)
(17·10117-53)/9 =
1(8)1163<118>
= 7 · 19963 · 194681 · 968263 · 7954543 · 22986474206855147447689<23> · 392173337773795106408899223587033290562210900273445369271499322092486423<72>
(17·10118-53)/9 =
1(8)1173<119>
= 132374213887<12> · 3436416298429411402363<22> · 1011354866382751324067587439<28> · 31862612490886293717845803187<29> · 1288582703199736438396935922051<31> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=749230199 for P31 / Apr 25, 2008)
(17·10119-53)/9 =
1(8)1183<120>
= 3 · 43 · 257 · 99119 · 391319717 · 2984398163<10> · 787581151504029361<18> · 62494652525814287720007310494333594525374795438926999600052751816672677299<74>
(17·10120-53)/9 =
1(8)1193<121>
= 112589 · 8652069511229<13> · 2508138705739007495801<22> · 4842674298537866638634043814157<31> · 159644381637953366021802311296650342678705016520399<51> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=565165582 for P31 / Apr 25, 2008)
(17·10121-53)/9 =
1(8)1203<122>
= 13 · 1867 · 2477 · 250608647 · 366522047 · 53750268615518041391177<23> · 63637914810524623771635509046537451389795814995169838390461637627831449393<74>
(17·10122-53)/9 =
1(8)1213<123>
= 32 · 61 · 193 · 188547420308555141<18> · 8683625517058930309<19> · 115816844812023315883441<24> · 1117786758274664240715307<25> · 8410549820171509807551231504210173<34>
(17·10123-53)/9 =
1(8)1223<124>
= 7 · 103 · 117563 · 3908264192111<13> · 5701860314171290706450848624362722691559980178717751917358537970734467287162859184531950047092880216311<103>
(17·10124-53)/9 =
1(8)1233<125>
= 293 · 82613 · 1363147661<10> · 572463096674631847833837829628931757176896885368753522059354929466896130339879494973658664901538089963052967<108>
(17·10125-53)/9 =
1(8)1243<126>
= 3 · 19 · 31 · 591926703067084367669371<24> · 180593423126091723373193059275084096377392885419908040521471339226222220442361501498995940505735919<99>
(17·10126-53)/9 =
1(8)1253<127>
= 2539 · 333367 · 641721697 · 727894902607689657739464596480166721<36> · 4777555082205456186505940897215974516974069492382172337337363813495100943<73> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 2.08 hours on Core 2 Quad Q6700 / May 3, 2008)
(17·10127-53)/9 =
1(8)1263<128>
= 13 · 4003 · 540251 · 328798120789209691542180686790545783365122362891647<51> · 2043396115186747802808184830871608870858489870879968003790681182801<67> (Robert Backstrom / GGNFS-0.77.1-20050930-k8 snfs, Msieve 1.34 / May 3, 2008)
(17·10128-53)/9 =
1(8)1273<129>
= 3 · 313 · 2045697173576072885436493<25> · 4004240923599095557112102414494870267401405247<46> · 24557224171047782792269547057638686525422784224174595907<56> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 2.88 hours on Core 2 Quad Q6700 / May 3, 2008)
(17·10129-53)/9 =
1(8)1283<130>
= 7 · 113 · 397 · 12158291 · 463072478903813769233<21> · 1068360732017664131709091228595261657204263070469398502225176336500504642759783818500224555422643<97>
(17·10130-53)/9 =
1(8)1293<131>
= 59 · 433 · 479 · 12851536795962440562749361929843<32> · 11614451771081002807800660499716452065000621<44> · 10341349396259693395744386085621912743878339580497<50> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=1985828501 for P32 / Apr 25, 2008) (Sinkiti Sibata / Msieve v. 1.35 for P44 x P50 / 3.5 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / May 4, 2008)
(17·10131-53)/9 =
1(8)1303<132>
= 33 · 712 · 167021 · 1116548947<10> · 7441784755409601134485764579172936662985291307816041756827135821627499976017687460861940135785416038620644198287<112>
(17·10132-53)/9 =
1(8)1313<133>
= 2527099 · 86034467933<11> · 58355590170193937<17> · 302773452238120173413<21> · 491712694436775951387499990041565266970076532928501815044828063449020163364329<78>
(17·10133-53)/9 =
1(8)1323<134>
= 13 · 9293 · 8751737149<10> · 27537178718993<14> · 3764382625358250645569863551537179<34> · 172345383011769458501536322137290527842023267217164289309509635505102629<72> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 3.61 hours on Core 2 Quad Q6700 / May 3, 2008)
(17·10134-53)/9 =
1(8)1333<135>
= 3 · 719 · 102881 · 851179371581009299588763751952465910024583447172941477628452827083206573323022186481500825784435029889887135532985412964089599<126>
(17·10135-53)/9 =
1(8)1343<136>
= 7 · 12526489 · 6994006470802381<16> · 1347794481418895554693419393197617111453<40> · 2285226791368354411931518719607928339055696989105013365535936167657426597<73> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 3.16 hours on Core 2 Quad Q6700 / May 3, 2008)
(17·10136-53)/9 =
1(8)1353<137>
= 23 · 307 · 87787008817<11> · 4634682690678541<16> · 6574911977716216942050275717807753114292495116513821799916419757939122325236307007044910646852690560826099<106>
(17·10137-53)/9 =
1(8)1363<138>
= 3 · 29 · 7481722787113<13> · 12913552174389691856827<23> · 22471901630383732291642189859123351501756183206109415929687349889068011652627736790391850287644654759<101>
(17·10138-53)/9 =
1(8)1373<139>
= 1187 · 1979 · 100520408961365189<18> · 52269084438711395174858006507068213911373<41> · 153042044567989424299284094191024360306276834800651709136147324967796139843<75> (Robert Backstrom / GGNFS-0.77.1-20050930-k8 snfs, Msieve 1.34 / May 4, 2008)
(17·10139-53)/9 =
1(8)1383<140>
= 13 · 109363 · 10038594233<11> · 1303876585637<13> · 1093771935863111803994728995558734837426133433<46> · 928018175045653313023689862079602922263543547526513521806182993649<66> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 6.77 hours on Core 2 Quad Q6600 / May 4, 2008)
(17·10140-53)/9 =
1(8)1393<141>
= 32 · 31 · 43 · 89 · 10416211045177969<17> · 2199553991945068036403<22> · 38770123268705413047738066497<29> · 199160022643799127833796061370630292550733822605403852646915352573069<69> (Sinkiti Sibata / Msieve v. 1.35 for P29 x P69 / 8.96 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / May 5, 2008)
(17·10141-53)/9 =
1(8)1403<142>
= 73 · 4241 · 1717861 · 275704477 · 2741651067239635527853600760669449154284578291126612362078069994975814610763448791920486162801456268735325287122453666053<121>
(17·10142-53)/9 =
1(8)1413<143>
= 1067029 · 1527173 · 244863342785827<15> · 180280219243349327<18> · 5812880350102104118685752874347<31> · 45172977411817853583314487385516736976079129109325013547106832353973<68> (Jo Yeong Uk / GMP-ECM 6.1.3 B1=1000000, sigma=3495432361 for P31 / May 3, 2008)
(17·10143-53)/9 =
1(8)1423<144>
= 3 · 19 · 82003 · 33747234085323696229891580573<29> · 284184304370485849583806799703613180155918074201814599<54> · 4213699332694306433921848962284585352045581816321987099<55> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 10.08 hours on Core 2 Quad Q6700 / May 5, 2008)
(17·10144-53)/9 =
1(8)1433<145>
= 47 · 8699557 · 62108569 · 177541321 · 418948313036823305827385655774638051159975719244583662017610183130473402273577762086786455945340880500497900629428984473<120>
(17·10145-53)/9 =
1(8)1443<146>
= 13 · 1693 · 21139 · 152839 · 906712254747545828169857551757513<33> · 292966518254180953679091271458567512967760755284807647661567847660425624429080931183692604031429719<99> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 9.04 hours on Core 2 Quad Q6700 / May 5, 2008)
(17·10146-53)/9 =
1(8)1453<147>
= 3 · 1097 · 1127347041996924922003<22> · 50912086988301831407196927294428769528287017754861018921169424070821162495723299023883665849177785454055188716995087408371<122>
(17·10147-53)/9 =
1(8)1463<148>
= 7 · 6337 · 6633161 · 19136653 · 337720847085066287<18> · 993299631315255841386450751900954199116772872944164569394202242128109600585730638859231894611359861877960618447<111>
(17·10148-53)/9 =
1(8)1473<149>
= 599 · 1523 · 5449 · 196920964872399960571095869962957319355465848009092572272618008697<66> · 19296161407988911730535538884844824784794847267080297111232954814015304743<74> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.34 / May 4, 2008)
(17·10149-53)/9 =
1(8)1483<150>
= 32 · 131 · 255137 · 3375511 · 5388930257121078729270880943678492107897<40> · 34520499532221180433112166674230849735039209965903167809354543240545253834351079688548856476663<95> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 15.38 hours on Core 2 Quad Q6700 / May 6, 2008)
(17·10150-53)/9 =
1(8)1493<151>
= 139 · 1109 · 19867 · 53699 · 58524777302241362713821490265536758164758485666839114161<56> · 196255486079589701227585169591220827496285377009347149826952814709503321846950741<81> (Justin Card / / GGNFS / May 8, 2008)
(17·10151-53)/9 =
1(8)1503<152>
= 13 · 127 · 29327 · 373517 · 292010357 · 23463278202626958161336281<26> · 152438399886032564781634905111019103137641760103044787644588055547129585171183813506953958315645488809911<105>
(17·10152-53)/9 =
1(8)1513<153>
= 3 · 50069 · 149351 · 18723967 · 30648249803303357<17> · 14672514893342869832589570368227512292157559807519140077683273612786730092233481062320957199285909430148035743223267001<119>
(17·10153-53)/9 =
1(8)1523<154>
= 7 · 6319531639<10> · 1259809096919<13> · 77968467421217<14> · 532678978275967<15> · 68205067888519467463<20> · 18412938086992723467197<23> · 649822052117915048227388446535964553122412755759638915837521<60>
(17·10154-53)/9 =
1(8)1533<155>
= 971 · 102437 · 371631714756730591<18> · 101739334408004478253<21> · 1274109118835390829488419042276855939<37> · 3942049247854730324039591295348901289336792997888410316410784299138286157<73> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona gnfs for P37 x P73 / 11.95 hours on Core 2 Quad Q6700 / May 5, 2008)
(17·10155-53)/9 =
1(8)1543<156>
= 3 · 31 · 283 · 7176902195709901169835057900713890683114437816364181347653364067361559667498342979934225802229905729278805763474633872445339446365321208590329757547357<151>
(17·10156-53)/9 =
1(8)1553<157>
= 94115205417543442260889014109032287575728859357342112763830605058897534630713<77> · 20069965108281988776637007571562300370718669072099530779317161803679127900838091<80> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 31.24 hours on Cygwin on AMD 64 X2 6000+ / May 5, 2008)
(17·10157-53)/9 =
1(8)1563<158>
= 13 · 103 · 1606069667<10> · 96829103143<11> · 7966230062417543067682362213686161549493<40> · 11386826441643864898561421221923570419394152237250887959212635282363431012333153776133535984209<95> (Jo Yeong Uk / GMP-ECM 6.1.3 B1=1000000, sigma=3216558942 for P40 / May 6, 2008)
(17·10158-53)/9 =
1(8)1573<159>
= 36 · 23 · 5701 · 202987 · 4056804786019<13> · 58559290886515109<17> · 15148998534261869401<20> · 361116074126888201347<21> · 62424841302462897129825893621398645483<38> · 119995144131890006675094424027008873437<39> (Makoto Kamada / Msieve 1.35 for P38 x P39 / 8.2 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / May 2, 2008)
(17·10159-53)/9 =
1(8)1583<160>
= 7 · 733 · 64373087450280690223885039799015227383176824847<47> · 5718736130150877068395855148563309851888644433107510229967183373492458900540607629747479591403697254369712119<109> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.35 / May 12, 2008)
(17·10160-53)/9 =
1(8)1593<161>
= 5021 · 20521 · 22425473836472089683229<23> · 8174779402632942791266862745271566277412997899936946260947995333118878424901222799168602243155117246917414172097402684994820394147<130>
(17·10161-53)/9 =
1(8)1603<162>
= 3 · 19 · 43 · 254355202674105893<18> · 3287574485420198704133928558179<31> · 6592109827352816863838466122643365447<37> · 13980491502316873967791731851571399701122210654779288236879044841952532537<74> (Jo Yeong Uk / GMP-ECM 6.1.3 B1=1000000, sigma=3720085718 for P31 / May 7, 2008) (Justin Card / GGNFS gnfs for P37 x P74 / May 9, 2008)
(17·10162-53)/9 =
1(8)1613<163>
= 277 · 2521688466726891448397587854031<31> · 2704177598331092219820552204643591669675256637402379863078241577478040763475133718336050465295630373181424829869186858865816960809<130> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=2447176514 for P31 / Apr 27, 2008)
(17·10163-53)/9 =
1(8)1623<164>
= 13 · 1733 · 23472466891217<14> · 37464998032005354061197314116355187433310192513<47> · 953410757092344732158061608063141390017470114019584701189414810489033337617424683715457001145387587<99> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 62.14 hours on Cygwin on AMD 64 X2 6000+ / May 19, 2008)
(17·10164-53)/9 =
1(8)1633<165>
= 3 · 3162156699067<13> · 262881178953307<15> · 105290032030122334034954183<27> · 1216259663201331434035013956830378303572945186485863881<55> · 591464542648869639542420113968295913254867921520280460903<57> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona gnfs for P55 x P57 / 15.70 hours on Core 2 Quad Q6700 / May 7, 2008)
(17·10165-53)/9 =
1(8)1643<166>
= 7 · 29 · 43402480428621987030205003566889274936988593086053286493942371994002021584433<77> · 214385705193492725009349612317191476170118142711660225267764600968001857107379610049417<87> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.35 / May 10, 2008)
(17·10166-53)/9 =
1(8)1653<167>
= 71 · 1643251 · 49163423 · 4173193033396687973<19> · 8377636022470702931<19> · 8184120308115925347480138753229<31> · 11509065941646056948432515660425345857569615698355520088149637434614083526839114163<83> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=935727121 for P31 / Apr 28, 2008)
(17·10167-53)/9 =
1(8)1663<168>
= 32 · 2842894383216641696187208791071<31> · 823828965221082614714987491762129205824830523981<48> · 8961198957496977939253687411601927777122185598907503134441460972542651247105156582110937<88> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=2708123677 for P31 / Apr 28, 2008) (Robert Backstrom / GGNFS-0.77.1-20060513-pentium-m, Msieve 1.39 snfs / 56.29 hours, 1.74 hours / Apr 24, 2009)
(17·10168-53)/9 =
1(8)1673<169>
= 3371 · 48487 · 520151 · 149492575450278766064355105465537861991<39> · 148618640254097296463041504915115243088101259415265146325211387004955010597261896312036315375075730295290862505541119<117> (Robert Backstrom / GMP-ECM 6.2.1 B1=2528000, sigma=631359469 for P39 / Jun 10, 2008)
(17·10169-53)/9 =
1(8)1683<170>
= 133 · 1153 · 1899184819671361163387290225408063<34> · 3926266888112567544073047887536313671079408556962007900627998803362902182734040273650475604473730549935716930277198186398648831001<130> (Robert Backstrom / GMP-ECM 6.2.1 B1=386000, sigma=2244556447 for P34 / Jul 1, 2008)
(17·10170-53)/9 =
1(8)1693<171>
= 3 · 31 · 2333 · 90168271 · 115142149344161629850376984688397<33> · 1772963737984840369465746226474583<34> · 47295606304386422476579305729270226175133053046692469208394133140258992145305451848568435167<92> (Robert Backstrom / GMP-ECM 6.2.1 B1=1252000, sigma=374355149 for P33, B1=1372000, sigma=495894633 for P34 / Oct 2, 2008)
(17·10171-53)/9 =
1(8)1703<172>
= 7 · 683341357 · 39122856452740637<17> · 10093461016545113955657757815726212142735335399665534933537411666235746324914740426149514342036429576795725236496512307731624073227210703277604541<146>
(17·10172-53)/9 =
1(8)1713<173>
= 462931566953<12> · 4243054134278387643902015996987107<34> · 9616367306177254454400989800479749240068989346224909729607233753965222432813638290499093357045250756981484447816404226835696073<127> (Wataru Sakai / GMP-ECM 6.2.1 B1=3000000, sigma=2577178989 for P34 / Sep 15, 2009)
(17·10173-53)/9 =
1(8)1723<174>
= 3 · 33538283375647<14> · 344480854549100429<18> · 5082667344375497681419535599351<31> · 1072229004522264389297731966081077378110519279231987469943729528228287736187297292244073007381734462645151035597<112> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=2733813737 for P31 / Aug 8, 2008)
(17·10174-53)/9 =
1(8)1733<175>
= 996571 · 10721092702631<14> · 66193574957206441<17> · 239577184791959983<18> · 189454127509773704238671718329<30> · 58842856862639499152451052446431284653766574674469574777580305207022606914324649821968415809<92> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=2549688710 for P30 / Apr 29, 2008)
(17·10175-53)/9 =
1(8)1743<176>
= 13 · 14694077825670504732489643<26> · [98882792797863217450342541580238922065222995711823027157283782907050551453070137714817978720088799468425404803841284571619155548224745991708596853437<149>] SUBMIT/RESERVE
(17·10176-53)/9 =
1(8)1753<177>
= 32 · 461 · 1433 · 24692141 · 7846216621307<13> · 1143236734438861<16> · 143437125587705933702661928936827203210437813712467913316917409885990626648376732498704872892988727082662498331367704730957109684684357<135>
(17·10177-53)/9 =
1(8)1763<178>
= 7 · 617887 · 1034387 · 61321815157<11> · 40814705044175887905753677<26> · [168688158066328211076932664203519266765152530571964233725972984015537492893332660774495827123443053934645789134466462715182595609<129>] SUBMIT/RESERVE
(17·10178-53)/9 =
1(8)1773<179>
= 149 · 71023 · 2981057 · 738493163 · 18978130740089<14> · 43743537687611<14> · 93010512334718522114163289<26> · 40841462947354589786207930836285747643<38> · 257100965516938781704461385818273110825314784282900274223801951843<66> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona gnfs for P38 x P66 / 4.95 hours on Core 2 Quad Q6700 / May 4, 2008)
(17·10179-53)/9 =
1(8)1783<180>
= 3 · 19 · 43063 · 25359077 · [3034546746278241754546541175298947915240031680580992989847366512160046654373577614036125398773325248915730260994774404813317496390507217763107390849712504613176533769<166>] SUBMIT/RESERVE
(17·10180-53)/9 =
1(8)1793<181>
= 23 · 729690740257185401<18> · [112548507653788324686725629965802694591162152511278229182004895353801933416798118034418778686753049757692026077946774379085781696814981298118218337724119096837421<162>] SUBMIT/RESERVE
(17·10181-53)/9 =
1(8)1803<182>
= 13 · 12569 · 975496516300291<15> · [118504982536320458360472208359693700475827306632688908266254061475378195476442759113981192365718106310074394906947223616576610584484935024133224228850484607380829<162>] SUBMIT/RESERVE
(17·10182-53)/9 =
1(8)1813<183>
= 3 · 43 · 61 · 5791 · 160423 · 473993644702351307<18> · 111826477963936455942613406180863<33> · 487471806229642431932006327213105850347151393350146162101398545935253616249804148475785205144982282303204142873879752939<120> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=152531090 for P33 / Apr 30, 2008)
(17·10183-53)/9 =
1(8)1823<184>
= 72 · 5821 · 50658203 · 362091197858082068188978559777<30> · 361031407961693999098354936235724091615243481184799851541872277040464627609443906129093345283585731799226593933218472589257546465002577911917<141> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=3427888369 for P30 / Apr 30, 2008)
(17·10184-53)/9 =
1(8)1833<185>
= 892 · 109 · 715718755268180558753<21> · [30567329801888401159433088915799722309462968449417751765032978605529646079953664676432635340247764533024780426024491064441968510260479024378291862356258548399<158>] SUBMIT/RESERVE
(17·10185-53)/9 =
1(8)1843<186>
= 33 · 31 · 1597997386322290245461276699108764584415883034598743632467843957463923933713820829<82> · 141222823208483395121283940637151729989074192145153563988529735450619888690572081943928291407031714371<102> (Robert Backstrom / GGNFS-0.77.1-20050930-k8 snfs, Msieve 1.34 / 96.19 hours / Jun 3, 2008)
(17·10186-53)/9 =
1(8)1853<187>
= 1471 · 3373 · 921247991 · 1791547609<10> · 230660107734905393664617328196890130863114951956204295884249232801497310912180793731908990799345365945574294966407081660218899728843523095074151050538254399071679<162>
(17·10187-53)/9 =
1(8)1863<188>
= 13 · 97 · 8147 · 7079249 · 259720614007762327981180077787119942887282548838203338134942756067747338840545770817541858677408571937464871788320427189868382194410211146709582782763796536494051464931392501<174>
(17·10188-53)/9 =
1(8)1873<189>
= 3 · 59 · 100297 · 2207171 · 902424438039328610914357<24> · [5341932224368347122327354664404447609892518115862793615254832343039640727304352276552602209531904854951579464241438156996375369884151985796619092688981<151>] SUBMIT/RESERVE
(17·10189-53)/9 =
1(8)1883<190>
= 7 · 1487 · 37763269 · 107409211127<12> · 1892069578404541<16> · 3090777110713708539900218209<28> · 18308463842770442763352292651<29> · 3425376722500250431425989302857061<34> · 121989164029539344478888387906348661308781361217618006478634011<63> (Sinkiti Sibata / Msieve v. 1.35 for P34 x P63 / 8.77 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / May 4, 2008)
(17·10190-53)/9 =
1(8)1893<191>
= 47 · 320081 · 29208199 · 9647449436664621401<19> · 4455858273443522059249722914852061754006632898503696296189210359592062934432935685007825034169055247541394146517916055842893304359247567587059918499911124131<157>
(17·10191-53)/9 =
1(8)1903<192>
= 3 · 1032 · 263 · 1597 · 2683 · 5266588306233441555784851767693026499047159698783427696481164674354985902542901355475223725979320550746025528236097856798189977708720706924859327848862312008867992289490447240633<178>
(17·10192-53)/9 =
1(8)1913<193>
= 1949 · 6149779 · 3474090577886207485559<22> · [45362180915095932862608675860688471546589085050725217605287979671594186073456147079883035424966963532040498752200089448980401564272311087245625338282067116392147<161>] SUBMIT/RESERVE
(17·10193-53)/9 =
1(8)1923<194>
= 13 · 29 · 127 · 367 · 76642027853<11> · 707045930643469694171<21> · [19837213265305750708644174024415228085608004175398171051464999200291352597438561083368415899473512737788415756829094250473499919449065460713730825057183237<155>] SUBMIT/RESERVE
(17·10194-53)/9 =
1(8)1933<195>
= 32 · 419 · 48947 · 428231 · [2389712733978813620322094668637653950517565603657170554632954571896077302760989933738321106493971760505056808037246047286283413795533453736327065811340726938866983218583814822975989<181>] SUBMIT/RESERVE
(17·10195-53)/9 =
1(8)1943<196>
= 7 · 1009 · 315097 · 199832831199047859894023987911<30> · [4247233090099791646443561806393685319250482245205950826499650921048098794778599065922925207892348895210928252347640510670112645558901991645115520455716850123<157>] (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=865559548 for P30 / May 1, 2008) SUBMIT/RESERVE
(17·10196-53)/9 =
1(8)1953<197>
= 139 · 12611 · 320339 · 3147482505116597957<19> · 337109363509220322744923<24> · [31702837167169110953872916952082494379555806874677583207111719357067736963684203361611874436354764970966174644990168058397738184350965024383863<143>] SUBMIT/RESERVE
(17·10197-53)/9 =
1(8)1963<198>
= 3 · 19 · 619 · 8581 · 20073649757649413<17> · 5797970114799596368404037<25> · 2604864000866961077367688444027<31> · 2057859104406529255404097678068784747468733410880713070871039782861735411913581127133206348898129767928452882855107983<118> (Serge Batalov / GMP-ECM 6.2.1 B1=1000000, sigma=2658882083 for P31 / Jul 12, 2008)
(17·10198-53)/9 =
1(8)1973<199>
= 7603 · 30803 · 43261 · 102559 · 1042469 · 2250737867569<13> · 1941823279749679397<19> · 532909957499658687338853693037114127<36> · 12127492055545606309658842712355349019<38> · 61735571024736893980769353536098228900774070762653834895799357457201053<71> (Serge Batalov / GMP-ECM 6.2.1 B1=1000000, sigma=323913398 for P38, Msieve-1.36 gnfs for P36 x P71 / 6.00 hours on Opteron-2.8GHz; Linux x86_64 / Jul 12, 2008)
(17·10199-53)/9 =
1(8)1983<200>
= 13 · 349 · 8420156453<10> · 21260378927<11> · 23256613253305529116207791400349832193537723947953679972955659009048695172741094994645822581214721342592545024800715656066020561359324449584492571624376290038295078875501365889<176>
(17·10200-53)/9 =
1(8)1993<201>
= 3 · 31 · 820429 · 4807832063609<13> · 1629813555479937134046216265544401<34> · 315933184606345460222023644972790420698532602642072827304029035909153495390406167400003118871158393699840636533268009489385723661675135436522533171<147> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=43418887 for P34 / May 2, 2008)

4. References

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