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Factorizations of 99...997

Table of contents

  1. About 99...997
  2. Prime numbers of the form 99...997
  3. Factorizations of 99...997
  4. References

1. About 99...997

First ten terms

7, 97, 997, 9997, 99997, 999997, 9999997, 99999997, 999999997, 9999999997

General term

10n-3

Related tables

2. Prime numbers of the form 99...997

Last update

Feb 19, 2012

Searched up to

n≤407197

Difficulty of search

21.47%

Results

  1. 101-3 = 7 is prime.
  2. 102-3 = 97 is prime.
  3. 103-3 = 997 is prime.
  4. 1017-3 = (9)167<17> is prime.
  5. 10140-3 = (9)1397<140> is prime. (Makoto Kamada / PPSIQS / May 20, 2003)
  6. 10990-3 = (9)9897<990> is prime. (searched by Makoto Kamada / May 20, 2003) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 28, 2006)
  7. 101887-3 = (9)18867<1887> is prime. (searched by Makoto Kamada / May 20, 2003) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Jul 15, 2006)
  8. 103530-3 = (9)35297<3530> is prime. (searched by Makoto Kamada / May 20, 2003) (certified by Maksym Voznyy / Primo 3.0.9 / Jan 3, 2011)
  9. 105996-3 = (9)59957<5996> is prime. (searched by Henri Lifchitz / Nov 2002) (certified by Markus Tervooren / Primo 3.0.9 / Jan 22, 2011)
  10. 1013820-3 = (9)138197<13820> is PRP. (Henri Lifchitz / Nov 2002)
  11. 1021873-3 = (9)218727<21873> is PRP. (Henri Lifchitz / Nov 2002)
  12. 1026045-3 = (9)260447<26045> is PRP. (Henri Lifchitz / Nov 2002)
  13. 1087720-3 = (9)877197<87720> is PRP. (Markus Tervooren / srsieve, mprime & gmp's mpz_probab_prime_p function / Jul 28, 2010)
  14. 10232599-3 = (9)2325987<232599> is PRP. (Markus Tervooren / sr2sieve, mprime & PFGW / Oct 16, 2010)

History

  1. Searched up to n≤230000 by Markus Tervooren, October 16, 2010
  2. Searched up to n≤407197 by Markus Tervooren, December 4, 2010

3. Factorizations of 99...997

Last update

May 12, 2012

Completed up to

Range

n≤200

Terms which have not been factored yet

n=181, 183, 186, 193, 195, 196, 199 (7/200)

Results

101-3 =
7
= definitely prime number
102-3 =
97
= definitely prime number
103-3 =
997
= definitely prime number
104-3 =
9997
= 13 · 769
105-3 =
99997
= 192 · 277
106-3 =
999997
= 757 · 1321
107-3 =
9999997
= 7 · 1428571
108-3 =
99999997
= 1297 · 77101
109-3 =
999999997
= 71 · 2251 · 6257
1010-3 =
9999999997<10>
= 13 · 769230769
1011-3 =
99999999997<11>
= 17 · 5882352941<10>
1012-3 =
999999999997<12>
= 5507 · 181587071
1013-3 =
9999999999997<13>
= 72 · 56527 · 3610339
1014-3 =
99999999999997<14>
= 839 · 119189511323<12>
1015-3 =
999999999999997<15>
= 599 · 2131 · 3733 · 209861
1016-3 =
9999999999999997<16>
= 13 · 433 · 39323 · 45177491
1017-3 =
99999999999999997<17>
= definitely prime number
1018-3 =
999999999999999997<18>
= 47 · 1283 · 949261 · 17469877
1019-3 =
9999999999999999997<19>
= 7 · 103 · 9431 · 155027 · 9486361
1020-3 =
99999999999999999997<20>
= 23 · 19031 · 859249 · 265883581
1021-3 =
999999999999999999997<21>
= 1164288119<10> · 858893931563<12>
1022-3 =
9999999999999999999997<22>
= 13 · 769230769230769230769<21>
1023-3 =
99999999999999999999997<23>
= 19 · 983513 · 2972507 · 1800293893<10>
1024-3 =
999999999999999999999997<24>
= 37967337697<11> · 26338428255901<14>
1025-3 =
9999999999999999999999997<25>
= 7 · 1428571428571428571428571<25>
1026-3 =
99999999999999999999999997<26>
= 83 · 6947 · 173430153607087049797<21>
1027-3 =
999999999999999999999999997<27>
= 17 · 29 · 1335869 · 1518410537203064741<19>
1028-3 =
9999999999999999999999999997<28>
= 132 · 109 · 542858693881982519950057<24>
1029-3 =
99999999999999999999999999997<29>
= 223283 · 228859 · 5834659 · 335398307039<12>
1030-3 =
999999999999999999999999999997<30>
= 24551 · 1514197 · 26899761675796814351<20>
1031-3 =
9999999999999999999999999999997<31>
= 7 · 1063 · 2089 · 95633 · 167826727 · 40083104483<11>
1032-3 =
99999999999999999999999999999997<32>
= 59 · 4814471 · 36799991 · 9566469711577703<16>
1033-3 =
999999999999999999999999999999997<33>
= 757 · 4492009 · 294078654564558761050369<24>
1034-3 =
9999999999999999999999999999999997<34>
= 13 · 769230769230769230769230769230769<33>
1035-3 =
99999999999999999999999999999999997<35>
= 2111 · 3759289 · 1501972065791<13> · 8389656836773<13>
1036-3 =
999999999999999999999999999999999997<36>
= 1811 · 5963471 · 69425387 · 1333718356890134051<19>
1037-3 =
9999999999999999999999999999999999997<37>
= 7 · 5779 · 702780737 · 40483675109<11> · 8688593630053<13>
1038-3 =
99999999999999999999999999999999999997<38>
= 2399 · 34367 · 1212908750097169152242159463709<31>
1039-3 =
999999999999999999999999999999999999997<39>
= 107 · 827 · 1093 · 187423 · 55165513569618566444754607<26>
1040-3 =
9999999999999999999999999999999999999997<40>
= 13 · 4787 · 48239 · 5853526052603<13> · 569085301052150111<18>
1041-3 =
99999999999999999999999999999999999999997<41>
= 19 · 44909 · 6387259 · 18348412175865138486980597873<29>
1042-3 =
999999999999999999999999999999999999999997<42>
= 23 · 61 · 1597 · 3369415196267<13> · 132459430228679414184601<24>
1043-3 =
9999999999999999999999999999999999999999997<43>
= 7 · 17 · 63473 · 71861 · 1004537 · 6948583 · 2639420403553807201<19>
1044-3 =
99999999999999999999999999999999999999999997<44>
= 71 · 467 · 13825941769007037889<20> · 218137357234515008089<21>
1045-3 =
999999999999999999999999999999999999999999997<45>
= 1511 · 143091007 · 7084864849<10> · 7665370631<10> · 85164473749219<14>
1046-3 =
9999999999999999999999999999999999999999999997<46>
= 13 · 44436195239<11> · 74716684251563<14> · 231687279868248212917<21>
1047-3 =
99999999999999999999999999999999999999999999997<47>
= 409 · 967 · 66977 · 230999 · 26846177 · 9450382559<10> · 64414344031291<14>
1048-3 =
999999999999999999999999999999999999999999999997<48>
= 8737 · 106669 · 726599 · 554508243299<12> · 2663156190955741239949<22>
1049-3 =
9999999999999999999999999999999999999999999999997<49>
= 7 · 168557936063381<15> · 10024665283411171<17> · 845440161194356421<18>
1050-3 =
99999999999999999999999999999999999999999999999997<50>
= 14627 · 3674333699<10> · 44848033061277421<17> · 41488023184722935209<20>
1051-3 =
(9)507<51>
= 144203 · 1991177 · 273871783 · 1876732427<10> · 6775887552190427787707<22>
1052-3 =
(9)517<52>
= 13 · 179 · 1947862590871197811021597<25> · 2206202131092079878657863<25>
1053-3 =
(9)527<53>
= 103 · 28966193 · 33517479718779992603489942082562596233732843<44>
1054-3 =
(9)537<54>
= 21518801375655714851137<23> · 46470989835488840363806434126781<32>
1055-3 =
(9)547<55>
= 72 · 29 · 3989 · 1764175903156622301759112718314562795753064064813<49>
1056-3 =
(9)557<56>
= 313 · 3941689 · 19336103 · 4191836705988181479348939975589788043307<40>
1057-3 =
(9)567<57>
= 1439 · 694927032661570535093815149409312022237665045170257123<54>
1058-3 =
(9)577<58>
= 13 · 173219 · 171132083 · 3214902282801317877541<22> · 8071642288696029355717<22>
1059-3 =
(9)587<59>
= 17 · 19 · 1249 · 4345511 · 57041926629930666036665011901733531105845315401<47>
1060-3 =
(9)597<60>
= 719 · 757 · 6755603 · 271963805968702864258461551790513043662751795453<48>
1061-3 =
(9)607<61>
= 7 · 157 · 1321 · 6888100737095659876606563395668348970470023329997196543<55>
1062-3 =
(9)617<62>
= 3625031 · 603220214617<12> · 45731177968650786903285932397336219226657811<44>
1063-3 =
(9)627<63>
= 1346919923<10> · 259449246196264501631<21> · 2861579460492886363697385972683569<34>
1064-3 =
(9)637<64>
= 13 · 23 · 47 · 711591830925780972034441044616807799046466946559453497473849<60>
1065-3 =
(9)647<65>
= 640113583 · 156222274695895650131829806836015851268070966711543754259<57>
1066-3 =
(9)657<66>
= 3923 · 2546962972527613<16> · 100082710942204725571854029984014199096850397403<48>
1067-3 =
(9)667<67>
= 7 · 83 · 4462531 · 52308679461327694413683<23> · 73734181764135557483526518495064769<35>
1068-3 =
(9)677<68>
= 181 · 10927079 · 1407477156450817<16> · 16618414584512959499<20> · 2161655080961323535207341<25>
1069-3 =
(9)687<69>
= 347 · 911 · 240347 · 6719463889<10> · 724445935328640404936057<24> · 2703789257357684025009811<25>
1070-3 =
(9)697<70>
= 13 · 2838853 · 609124139649827<15> · 12036938568862646965703<23> · 36956589665321881667605033<26>
1071-3 =
(9)707<71>
= 4957 · 390869 · 911624502096187117724092068409<30> · 56615306657739612877438471735301<32>
1072-3 =
(9)717<72>
= 4919 · 725437 · 280235709382592215021783942116823254062739685689808590303568199<63>
1073-3 =
(9)727<73>
= 7 · 31820483 · 44894712269811510134166455882251333879142294243975761506466492937<65>
1074-3 =
(9)737<74>
= 191 · 277 · 445792777 · 20025961396631<14> · 211719305898683240805292394343293049479508278233<48>
1075-3 =
(9)747<75>
= 17 · 593 · 3019 · 29593547 · 203287386737<12> · 5461674546661760187240499608772098204986115329557<49>
1076-3 =
(9)757<76>
= 13 · 47843 · 695017 · 18660707022367378937999<23> · 1239694634341423432349916056158844097321901<43>
1077-3 =
(9)767<77>
= 19 · 9770545391<10> · 50670908789<11> · 492691725102017033<18> · 21577127639648878849780469624000867189<38>
1078-3 =
(9)777<78>
= 659 · 117361 · 7062049 · 1830880745642327756127708628460154103036454601740305990569843647<64>
1079-3 =
(9)787<79>
= 7 · 71 · 113 · 66457829 · 227601541763<12> · 13755478715667106004852653<26> · 855791776632840528315673335967<30>
1080-3 =
(9)797<80>
= 2663 · 4110612782962333<16> · 1634764941685338629653189<25> · 5588135774935638678380176533658718987<37>
1081-3 =
(9)807<81>
= 619 · 82711432890473<14> · 19531869160556511907230090805735936797585412429882883916315932831<65>
1082-3 =
(9)817<82>
= 13 · 1151 · 432661 · 6702143138293367<16> · 230472904760975218695860182014530586110889780505824741637<57>
1083-3 =
(9)827<83>
= 29 · 6286051 · 2384189546677451999<19> · 230082359474216559463433395796447020827820649934059530357<57>
1084-3 =
(9)837<84>
= 136039691 · 13631181661<11> · 21392516536095359<17> · 16775491065354149113<20> · 1502670426032911987830107685541<31>
1085-3 =
(9)847<85>
= 7 · 4073 · 64849 · 33819758330585864983<20> · 159924045213327762917315647618256183211961766315464550981<57>
1086-3 =
(9)857<86>
= 23 · 4347826086956521739130434782608695652173913043478260869565217391304347826086956521739<85>
1087-3 =
(9)867<87>
= 103 · 257 · 757 · 113123 · 4632613 · 95226283921568354649911469910374171419599375062477580588497655609249<68>
1088-3 =
(9)877<88>
= 13 · 302303497 · 2544564574556572962069409237534454425346031538731320831426673073619023437129577<79>
1089-3 =
(9)887<89>
= 269 · 1663 · 711780703 · 50085008861179389314983865307479<32> · 6270490382978711525333242984143695967656023<43>
1090-3 =
(9)897<90>
= 59 · 1981462151<10> · 5427392805973<13> · 6775211799337<13> · 78160868906623597<17> · 2976176599680018387033042268965119689<37>
1091-3 =
(9)907<91>
= 7 · 17 · 622802562607<12> · 541191531367411<15> · 249316864069717043485091626653147919697908905053883660187580519<63>
1092-3 =
(9)917<92>
= 107 · 3557017 · 76772438105837719738754548269930764941<38> · 3422354146951056095066841448159662200272103243<46>
1093-3 =
(9)927<93>
= 233 · 10744219 · 291653535584641<15> · 52792348845059647<17> · 25943645194741155506563259922410371213134407504184593<53>
1094-3 =
(9)937<94>
= 13 · 151548409 · 1465865413328343894556166417276893<34> · 3462670511054145557735868404409558124203646135593037<52>
1095-3 =
(9)947<95>
= 19 · 509 · 2591 · 11279 · 37728203 · 9378307897647822189773362682835304573974710330908432747151623394481317471521<76>
1096-3 =
(9)957<96>
= 38604899 · 67135031 · 3339133451<10> · 75802272361<11> · 1274839317373<13> · 371370564511057<15> · 3210299262702817<16> · 1002960752029899359<19>
1097-3 =
(9)967<97>
= 72 · 2281 · 56978387 · 572041744923931<15> · 2744989966329896961448749127879070039002143600805487375898998297932229<70>
1098-3 =
(9)977<98>
= 97 · 227 · 4907420475243384479<19> · 925441856044986409718150197395729413167764668894414882028382058169268699297<75>
1099-3 =
(9)987<99>
= 367 · 1517627 · 2113775865581<13> · 10526423190323<14> · 80691749292003731118629647616252267832462124947404914376760456191<65>
10100-3 =
(9)997<100>
= 13 · 596275259857<12> · 27089835581037121<17> · 47621545764299677617779790257997285086538394033923200643767527821353377<71>
10101-3 =
(9)1007<101>
= 811 · 1660609 · 104506081 · 458290213 · 3490351201<10> · 70036821437399159898409<23> · 6342114199338576625556578199506049340359539<43>
10102-3 =
(9)1017<102>
= 61 · 167341 · 48523022783<11> · 471886464223296562633<21> · 239334429244078719805120829701<30> · 17876284551980902328592233871781223<35>
10103-3 =
(9)1027<103>
= 7 · 692401 · 184181549987808479<18> · 22726445496584026420510640998186677007<38> · 492908871046517977034206424358751376938907<42>
10104-3 =
(9)1037<104>
= 15887 · 458401 · 13731328215929209456688791947124485531775729994561500117025176063615607948582945925408692322131<95>
10105-3 =
(9)1047<105>
= 1564699 · 140589838991740832020941105146256038160377<42> · 4545851677658139202437532906827438688087706303142425442239<58> (Makoto Kamada / SNFS / 30:42:45:32)
10106-3 =
(9)1057<106>
= 132 · 157752018614917<15> · 4676160827424241349622633359482724543174987<43> · 80213770421949436989344479680642134972992714547<47> (Makoto Kamada / PPSIQS 1.1 / 6:31:51:51)
10107-3 =
(9)1067<107>
= 17 · 7968678694697845825873096579<28> · 105268359025757399432466604657457309<36> · 7012403690728403318908561793540433456872731<43>
10108-3 =
(9)1077<108>
= 23 · 83 · 137401213 · 3207480541<10> · 92762470571<11> · 12813482135218256325700577527597759817402594010431832837282926939321359468931<77>
10109-3 =
(9)1087<109>
= 7 · 67083924033653745174874728162417169991<38> · 21295287196598135831894469055861840064477475149485170209040812034482381<71> (Makoto Kamada / GGNFS-0.41.4 / Total time: 1.1 hours (actual time: 1.9 hours))
10110-3 =
(9)1097<110>
= 47 · 263 · 1871 · 4443097 · 6714107380277349896183<22> · 144943428069060593210324709644363984350751705174143343752073126619771304837<75>
10111-3 =
(9)1107<111>
= 29 · 602657779 · 28696630206070791791<20> · 1993886046252076663845187938068087319893076521678350863668723255877085366512385237<82>
10112-3 =
(9)1117<112>
= 13 · 647 · 605811026672353<15> · 5310320545785083<16> · 369568082011564246318490814674287271310659910824755808150690685151322618547973<78>
10113-3 =
(9)1127<113>
= 19 · 373 · 3347 · 299261 · 1539149 · 3429445432781<13> · 2668868467392422552005114420965245432852788746018460429855287102487871476139285197<82>
10114-3 =
(9)1137<114>
= 71 · 757 · 336529 · 859221566249037791<18> · 180738878352484081081720836613058416283<39> · 356013547665340428768575295631333591720156299923<48>
10115-3 =
(9)1147<115>
= 7 · 149 · 16427 · 2086902480830030036633784894772704335879<40> · 279676051195225896934948823207443193519179150078386523465480944649163<69> (Makoto Kamada / GGNFS-0.41.4 / Total time: 1.7 hours (actual time: 3.3 hours))
10116-3 =
(9)1157<116>
= 563 · 1321 · 8774317 · 1088633633614509477084403918558191926908607051<46> · 14076468703627736973261941485232894367607527799709257855417<59> (Makoto Kamada / GGNFS-0.42.0 / Total time: 3.2 hours (actual time: 4.5 hours))
10117-3 =
(9)1167<117>
= 9127148480682127666098069205437229076855970260488284811<55> · 109563244436806168818039119184210587861133156574721974138239127<63> (Makoto Kamada / GGNFS-0.41.3 / Total time: 2.7 hours (actual time: 6.0 hours))
10118-3 =
(9)1177<118>
= 13 · 8461 · 89293 · 10073705259065735294499942560980394788643671299013<50> · 101071403953684443983895115462630189568665615571767163352181<60> (Makoto Kamada / GGNFS-0.42.0 / Total time: 2.9 hours (actual time: 3.5 hours))
10119-3 =
(9)1187<119>
= 7043 · 15599333329<11> · 300887275512254328094763<24> · 3025049262693665664747541346878285724445834135320710094168083527978858463925645677<82>
10120-3 =
(9)1197<120>
= 1314371 · 256328913578799661<18> · 2968140363021126452220649514855793697359082715974543882369932510137667044124281356330082986856987<97>
10121-3 =
(9)1207<121>
= 7 · 103 · 13869625520110957004160887656033287101248266296809986130374479889042995839112343966712898751733703190013869625520110957<119>
10122-3 =
(9)1217<122>
= 71866339938008210623739<23> · 397118863301683969907658455831<30> · 3503918176246150929723840345375125855783997495258623504869751070595633<70> (Makoto Kamada / GGNFS-0.42.0 / Total time: 4.4 hours (actual time: 6 hours))
10123-3 =
(9)1227<123>
= 17 · 15739 · 89069 · 376667884978938293477936774780616434222279<42> · 111400918951427393267751760550029690509932963494486357752363513131610869<72> (Makoto Kamada / GGNFS-0.42.0 / Total time: 4.7 hours (actual time: 7.8 hours))
10124-3 =
(9)1237<124>
= 13 · 2569393 · 520650671 · 8152274412311<13> · 901399309795043<15> · 30441559635772969237<20> · 2570495028748214654581797079357671705550480475040454114008023<61>
10125-3 =
(9)1247<125>
= 224027 · 40227639590406309217166835252731879997433918357<47> · 11096220704771508418838283142629113970847065959139563096883643429606751723<74> (Makoto Kamada / GGNFS-0.41.4 / Total time: 3.8 hours (actual time: 7.4 hours))
10126-3 =
(9)1257<126>
= 131 · 4967 · 166429 · 543769 · 1800047 · 11106023867<11> · 68240418225121295929<20> · 12448211784421770185094071021831790872657994261310382419295508082318163641<74>
10127-3 =
(9)1267<127>
= 7 · 4477018734318629180293<22> · 7609989926532955216740365501<28> · 1280396167057838504245589115975841<34> · 32747986372581105183234224891710798334981867<44>
10128-3 =
(9)1277<128>
= 3116303 · 3447709 · 10781786123<11> · 11821817016493727965504014725693386869935295703801<50> · 73022176650061765449324304407021730245121580937594754357<56> (Makoto Kamada / GGNFS-0.50.2 / Total time: 7.2 hours (actual time: 12.4 hours))
10129-3 =
(9)1287<129>
= 40619265259<11> · 17539599447243911<17> · 1403615855538288055865290988653397945429469842242039799304685291117752873519330257322000400837536246353<103>
10130-3 =
(9)1297<130>
= 13 · 23 · 691573 · 85078832171<11> · 568419884796013649225640400511660780275935536920717606117971907828538350105829659595877633791349852502897560241<111>
10131-3 =
(9)1307<131>
= 19 · 389 · 479 · 10185123149<11> · 324532173076818744317976869<27> · 8545495346710077139785136036953045644689885975695644116598380872477353722383518717890333<88> (Makoto Kamada / GGNFS-0.52.0 / Total time: 8.7 hours (actual time: 10.7 hours))
10132-3 =
(9)1317<132>
= 19919 · 975064193101<12> · 51487198294454081995358167267058581242465394181123605884321434040119645137816603670221076374305249088065774874697663<116>
10133-3 =
(9)1327<133>
= 7 · 311 · 27107 · 2253341 · 4594450834406689<16> · 1010842705641010535483<22> · 1796829324576277978498688716576986881951<40> · 9011750921273770846529134556364445817479919<43>
10134-3 =
(9)1337<134>
= 2845259519627857412680439112018370619<37> · 124029943290906783114900331460245831990228837<45> · 283368499045509140564835336179818819934025259684556699<54> (Makoto Kamada / GGNFS-0.42.0 / Total time: 10.1 hours (actual time: 13.4 hours) for P45) (Makoto Kamada / PPSIQS 1.1 / 3:15:12:98)
10135-3 =
(9)1347<135>
= 8891594935054218128128581330211366119702257623025863<52> · 112465762026293015888985715318626268035804442001514204439778594639800875198450472219<84> (Makoto Kamada / GGNFS-0.42.0 / Total time: 10.1 hours (actual time: 13.5 hours))
10136-3 =
(9)1357<136>
= 13 · 109 · 5194417 · 106197961 · 12793140224464242205884955416150288157100396559521578805992926399760242313447934267623249662207687031233567410146933693<119>
10137-3 =
(9)1367<137>
= 223 · 87880708839876574310987<23> · 1317974776987854639539412965694345386873<40> · 3871635708616963361655567348402090715393583483956963602661082587930518289<73> (Makoto Kamada / GGNFS-0.50.2 / Total time: 17.1 hours (actual time: 19.9 hours))
10138-3 =
(9)1377<138>
= 30047 · 20730732812459<14> · 19620811251546579405222533234378138253672631574917<50> · 81821468309254160472196820095045483222349432219761130729098894643898517<71> (Makoto Kamada / GGNFS-0.50.2-k1 / Total time: 21.82 hours (actual time: 23.28 hours))
10139-3 =
(9)1387<139>
= 72 · 17 · 29 · 157 · 2788661 · 15523411 · 44398433 · 24958916987067161555053422268090297995769<41> · 54964349212695694748863076665601324197711084936921370461642002386315059<71> (Makoto Kamada / GGNFS-0.53.0 / Total time: 14.72 hours (actual time: 14.80 hours))
10140-3 =
(9)1397<140>
= definitely prime number
10141-3 =
(9)1407<141>
= 757 · 21395260840097<14> · 1998567824579494876129<22> · 12839483153589083628646788780690801027737944337<47> · 2406135617024184285708011017528134490384412631178837377241<58> (Sander Hoogendoorn / GGNFS-0.60.6-unstable)
10142-3 =
(9)1417<142>
= 13 · 3947 · 55620027781<11> · 1448567705614466629<19> · 1745464342922221643<19> · 1385825472583120653686423290102430449498514937649419936194871100461577404398746984922103361<91>
10143-3 =
(9)1427<143>
= 277 · 1216793 · 5840089 · 8349701 · 90145919 · 20175914330451670548424029176641<32> · 214227176339184428053640364764759<33> · 15615621711258130384380831959853307643186586759613<50> (Makoto Kamada / GMP-ECM 5.0.3 B1=10000000, sigma=2092495096 for P33) (Makoto Kamada / PPSIQS 1.1 / 0:46:07:96)
10144-3 =
(9)1437<144>
= 167 · 337349307593677<15> · 24897458326243224332747<23> · 712932957281784950984395092073743731497066022895505935641190031194208447263463722058545529531369594509589<105>
10145-3 =
(9)1447<145>
= 7 · 107 · 676445318963<12> · 4763952371867371418729757278628913647895634646669909353<55> · 4143029976332174725198527972504156008079260574971910161750602000454997704627<76> (Makoto Kamada / GGNFS 0.53.0 / Total time: 25.75 hours (actual time: 26.03 hours))
10146-3 =
(9)1457<146>
= 786435493 · 33687902299127<14> · 739507611188227323791<21> · 147774458556369431910404840981974982225732968722011<51> · 34539886053501171347512504592110662553160109081260627<53> (Greg Childers / GGNFS)
10147-3 =
(9)1467<147>
= 87257 · 2581475893243546379399562049<28> · 2978486598601309977385667600190257<34> · 76939696440259536071166115723477303<35> · 19372493773537840831076728862163526175658084499<47> (Greg Childers / GGNFS)
10148-3 =
(9)1477<148>
= 13 · 59 · 8902981 · 2092098327453367265488153<25> · 1313437274082906131865018524905745892254428247173<49> · 532939316067522452437009431855311310168767228534802154162283932019<66> (Greg Childers / GGNFS)
10149-3 =
(9)1487<149>
= 19 · 71 · 83 · 37573 · 721606590563161<15> · 420200185405225537573496373857<30> · 1609561207914191556407872402061<31> · 48704586230979775559414535682143440300694313427376479940972273211<65> (Makoto Kamada / GGNFS 0.53.0 / Total time: 36.29 hours (actual time: 36.80 hours) for P31) (Tyler Cadigan / PPSIQS / 36:10:45:00 for P30)
10150-3 =
(9)1497<150>
= 661 · 219409451 · 6895141923876014443100467567268146905392631159761548211356179806046580541762123711605009064193916116161237785444672604185827887558556248027<139>
10151-3 =
(9)1507<151>
= 7 · 7573 · 50971 · 15184543441<11> · 243730068585584478919182949523798132584320178650870239133429187809547647306294989019226082403597339278196991144092927702654687675757<132>
10152-3 =
(9)1517<152>
= 23 · 4561 · 40897 · 45437738891493992896561871<26> · 512984128812055898727627163802656238643682023750525699947488641903977639699485179154894795956496215898216541692634677<117>
10153-3 =
(9)1527<153>
= 35603 · 108127 · 68063329 · 248622154980379092461<21> · 300828367847782232594681513978143<33> · 51027871295477704495929106254743812373411107183903051725312804583423782028610309611<83> (Kenichiro Yamaguchi / GMP-ECM 6.0 B1=3000000, sigma=970664626 for P33 / May 14, 2005)
10154-3 =
(9)1537<154>
= 13 · 11243 · 6067869097<10> · 1640121535660974334937516641312705897<37> · 632474589733957453044658343116704489644784209341<48> · 10869739116142629212501414649177235931983515829671794207<56> (suberi / GGNFS-0.77.1-20060513-pentium4 / 37.22 hours on Pentium 4 2.26GHz, Windows XP and Cygwin / Jun 24, 2006)
10155-3 =
(9)1547<155>
= 17 · 103 · 12007 · 154880702153<12> · 391686191030529649<18> · 78405002635391457030676706184615649785350711027657238478281095755337430351474499513887628112682439095176668630029454693<119>
10156-3 =
(9)1557<156>
= 47 · 193 · 123229 · 216167489536594248535065060052412135027<39> · 272299045624505473727969700938204637516311713<45> · 15198313925884879986745118948436722105397649149262271143998265333<65> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 25.97 hours on Cygwin on AMD 64 3400+ / Apr 11, 2007)
10157-3 =
(9)1567<157>
= 7 · 20931943 · 59535608413<11> · 1146345737263487202260106834601213235154300950255680685786659448040558774755069512496959672228916815351320280319430705170599927403331513169<139>
10158-3 =
(9)1577<158>
= 18148299747349<14> · 722833212759131<15> · 8287054737166991<16> · 919868505139973359950095591853139091124511216455186709452186566975892509034778546678321136339914604508216901712293<114>
10159-3 =
(9)1587<159>
= 1829717473047571<16> · 1841110211004241<16> · 224446788508453775541671<24> · 1338658590656655944935771<25> · 987990919041950689473460539182933582912002522808957325027816830283534661995265547<81>
10160-3 =
(9)1597<160>
= 13 · 383 · 52771123082243438120761219452533939<35> · 3104829324566476660204837376960208819056316254480075411<55> · 12258118210972106300910696745912453876036288591144435630300652094167<68> (Patrick Keller / GMP-ECM / B1=1000000, sigma=2766282211 / Jun 14, 2005) (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 24.28 hours on Core 2 Quad Q6600 / Oct 26, 2007)
10161-3 =
(9)1607<161>
= 1832934247661461281400687301882801770474799900077065371833785212553683<70> · 54557330753999730405854658459191838430800911789742566920056359690858206347228970175385246959<92> (Samuel Chong / GGNFS-0.77.1 / 60.24 hours on dual Athlon MP 2600+ (2.0GHz Bartons), 3GB RAM / Jun 29, 2005)
10162-3 =
(9)1617<162>
= 61 · 28573 · 2863453 · 354182214425353<15> · 63956593517591989<17> · 1666703277450239029<19> · 5307058833843425144878832431602327295573609756552142363190498888641659020136398337312984088684612281<100>
10163-3 =
(9)1627<163>
= 7 · 857 · 101212127218177995051360397159896256673<39> · 53769799816620504426761135790381137170338896156057801450767<59> · 306302235001175754564541527345578429311753804119402165243024733<63> (Kenichiro Yamaguchi / GGNFS-0.77.1 / 70.90 hours on PentiumM 760, Windows XP and Cygwin / Oct 26, 2005)
10164-3 =
(9)1637<164>
= 78059 · 36841398161094229698993656374635785098993<41> · 34772900113347798545372640730250755934955225972025356975366115874254163597722740653619367252030365507420285880379259431<119> (Kenichiro Yamaguchi / GGNFS-0.77.1 / 77.00 hours on Pentium M 760, Windows XP and Cygwin / Nov 1, 2005)
10165-3 =
(9)1647<165>
= 431 · 56725169383<11> · 6697081516361988272236718453873<31> · 6107470012775150366829754092015054516474407019707159078145089779525145974239872649362120407931411527628863447502994173893<121> (Patrick Keller / GMP-ECM B1=1000000, sigma=1182050795 for P31 / Jun 9, 2005)
10166-3 =
(9)1657<166>
= 13 · 119301064770536868551<21> · 6447811431610474163489067561741208740789494828388135936707382305996480761498633521317934527284276325497821886483378695170021429839503092367013319<145>
10167-3 =
(9)1667<167>
= 19 · 29 · 359 · 16301 · 45083 · 18584261089<11> · 31526805695475073355593889809<29> · 1174090648077126681817106763823790572520076120924866337337210638180510291756960164289667261485502749802903120385251<115> (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=1548422000)
10168-3 =
(9)1677<168>
= 757 · 24733 · 13293083 · 869228495029187<15> · 3574884941983036986718429117<28> · 975590727494159829512394250459329181<36> · 1325372390074496447669080069340310031238497245742542719972705527019954706661<76> (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=1226392717 for P28) (Kenichiro Yamaguchi / GMP-ECM 6.0 B1=3000000, sigma=3602923848 for P36 / May 14, 2005)
10169-3 =
(9)1687<169>
= 7 · 191 · 997 · 937984031 · 7997937200838313892127931718655153495116865289194887268859458211494173410942165025423695566604040066364480326329558069663167876425851246077505828792450783<154>
10170-3 =
(9)1697<170>
= 38817280012777264790994290797<29> · 785177523560258358188968099569100871126763206274307022292736906310723<69> · 3281006120624321591156094138451344572368459459917701683211206237910480987<73> (Patrick Keller / GMP-ECM B1=50000 ,sigma=1310433814 for P29 / Jun 9, 2005) (Kenichiro Yamaguchi / GGNFS-0.77.1 / 117.10 hours / PentiumM 760, Windows XP and Cygwin / Nov 8, 2005)
10171-3 =
(9)1707<171>
= 17 · 1321 · 12853 · 3464525430120745536354805319810671584361881931738032778228475966245835497521320871384548149369868130565394162990421200406717269963938898091265099558109828511846257<163>
10172-3 =
(9)1717<172>
= 13 · 601 · 2412439469605103<16> · 19951191129181681573453<23> · 47695920600537482943787602169976077<35> · 557539556864326003687860376816030662505048470832785370594510043757742996211567557732388956389983<96> (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=3844216337)
10173-3 =
(9)1727<173>
= 379 · 443 · 587 · 15166668857<11> · 47348365966898498973654947<26> · 35007558660244164081437512887499<32> · 40361001768340277480175803085457851847516030385154257084426979718995820425855241290021507034719463<98> (Patrick Keller / GMP-ECM B1=1000000, sigma=3747880546 for P32 / Jun 11, 2005)
10174-3 =
(9)1737<174>
= 23 · 1163 · 9186220463951276381973369277117<31> · 4069636176380580243700448677397479416475319991645050276797201393172279819383880927886129587096100310693561839604958692725968199665999961109<139> (Makoto Kamada / GMP-ECM 5.0.3 B1=100840, sigma=3620393782)
10175-3 =
(9)1747<175>
= 7 · 1597 · 29881 · 172999063 · 9268821528859618014021841051698997978389808253059<49> · 18669541205894303564860318174560332272211175169567548259092720680541673892290464197693810037820913078505439459<110> (Kenichiro Yamaguchi / GGNFS-0.77.1 / 291.77 hours on PentiumM 1.3GHz, Windows XP and Cygwin / Nov 20, 2005)
10176-3 =
(9)1757<176>
= 1630871011403<13> · 274954356330508669<18> · 6165326947505579813146109111140967<34> · 15902473362316519828155848907387241210869028241932019<53> · 2274568355541311973196278737571018169468417735311027313697927<61> (Patrick Keller / GMP-ECM B1=1000000, sigma=632850258 for P34 / Jun 11, 2005) (Sinkiti Sibata / GGNFS-0.77.1 gnfs for P53 x P61 / 49.15 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / May 6, 2006)
10177-3 =
(9)1767<177>
= 55371362340947<14> · 18059877122808340430742244613013563327679471278269573829298683525648181599376757758591753124682350190319081363056956527632819340314820942596332452226987651316311151<164>
10178-3 =
(9)1777<178>
= 13 · 887 · 10847 · 52170205801655912072668661692945628873867<41> · 791376560196615965346312862807404223815327503783<48> · 1936500685368344801593175804002836251063019833454008113128462336831727700966974861<82> (matsui / Msieve 1.41 snfs / 99.44 hours / May 21, 2009)
10179-3 =
(9)1787<179>
= 47527552610960667080491218952801922312569073<44> · 38918563279240249010933742596447312973214118388632853991466677<62> · 54062702222061890579230284912359478718122077297383163210696543917211696057<74> (Kenichiro Yamaguchi / GGNFS-0.77.1 / 623.03 hours on Pentium M 1.3GHz, Windows XP and Cygwin / Jan 1, 2006)
10180-3 =
(9)1797<180>
= 1367 · 157273 · 3065749 · 11776081 · 203111927 · 1997982784607846287288591439<28> · 884403266401745403066662061337<30> · 358973532348162743960395756571356050806941762717102886738109229779498599592784184526510037463<93> (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=4115912066)
10181-3 =
(9)1807<181>
= 72 · 1109 · 22283 · 276839 · 567778372236420859008223<24> · [52540305819116930956808349785897320788889785558092422224013003441803811524703086188094107375466421678391648650754442319988838303366367328104067<143>] SUBMIT/RESERVE
10182-3 =
(9)1817<182>
= 65534081280247754710444002932518609571718586565539736236949437<62> · 1525923581233455345160090558666254929382951100902891094757531494547444044927553100912619162340394581853825038559214658881<121> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 266.82 hours on Core 2 Quad Q6600 / Aug 25, 2007)
10183-3 =
(9)1827<183>
= 12923 · 17483 · 25178196771757422913199<23> · [175790772573168628123882459544293863504571995468093214648655228684550209634532372946253410661518081657531896227593819478128938329639194607798477286564667<153>] SUBMIT/RESERVE
10184-3 =
(9)1837<184>
= 132 · 71 · 682781111 · 21237789308365515286691<23> · 59850981433891272224551448459<29> · 35526514573141366935363086929873<32> · 27029640058852148978865133701306270767865770018364227207516059812926505552026723332704229<89> (Patrick Keller / GMP-ECM B1=250000, sigma=709592471 for P32, B1=B1=1000000, sigma=2309701949 for P29 / Jun 9, 2005)
10185-3 =
(9)1847<185>
= 19 · 834149 · 209205551 · 14115364562059472946776292563<29> · 26150471097842868319059494133157249<35> · 81706751742101878914198180697174396445076811730083317624603767885137213081489306839670834484075902356418751<107> (Makoto Kamada / GMP-ECM 5.0.3 B1=4000000, sigma=85275757 for P35 / Feb 28, 2005)
10186-3 =
(9)1857<186>
= 2794375354729699423195302414791<31> · [357861730460591695334295972163707008646716815727382711793133213691689104359175453265821274899204460799312954283262817577846710943629938175631885534582999067<156>] (Patrick Keller / GMP-ECM B1=250000, sigma=3937309623 for P31 / Jun 9, 2005) SUBMIT/RESERVE
10187-3 =
(9)1867<187>
= 7 · 17 · 26384109373<11> · 120481823420297<15> · 26435593693254727464251812484252639464200435992901604382899490599643545266965330830563291255340298310876315241349765520028520079300391507697131934074806361172623<161>
10188-3 =
(9)1877<188>
= 330546084791304846847511<24> · 3562247528919238271756225579280817<34> · 4509864049590597579503737782555387503<37> · 18831305910794443918566298283063276453852879246305489811969783216115588049782475570558077809077<95> (Patrick Keller / GMP-ECM B1=1000000, sigma=1742325444 for P34 / Jun 11, 2005) (suberi / GMP-ECM 6.1.2 B1=3000000, sigma=2583964877 for P37 / Mar 28, 2007)
10189-3 =
(9)1887<189>
= 103 · 1127252375215559<16> · 14562393969983724076149829192659260150257866876834441940485289038529<68> · 591437476219810516482416279726351680918559050304296108071406764500238722425132110736588185644157436019309<105> (Ignacio Santos / GGNFS, Msieve snfs / Jun 11, 2010)
10190-3 =
(9)1897<190>
= 13 · 83 · 4643 · 60176382186443<14> · 24247727135706472746493<23> · 15856958895942670619463887<26> · 33133578244863317770306493209<29> · 2603721449712924915210778259443446461003757003516119146794621306240164054740371466779177155953<94> (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=3946195788 for P26) (Patrick Keller / GMP-ECM B1=50000, sigma=1951224432 for P29 / Jun 9, 2005)
10191-3 =
(9)1907<191>
= 113 · 2454455881<10> · 13778267355178489115141197<26> · 4177672914958740985247164938293269252349<40> · 6263791373890807735811613899906525630519387461611911965595048014000039506928204827175275652877326155130619692271533<115> (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=1441291383 for P26) (Serge Batalov / GMP-ECM 6.2.1 B1=11000000, sigma=1596751792 for P40 / Jul 17, 2008)
10192-3 =
(9)1917<192>
= 3373 · 1103279 · 30864312787215673925304239<26> · 728214226699773901950646153594957<33> · 4461889850767293887261615958368082112572949<43> · 2679561266563623732221821991758971715091712588908370052804206440102760114201548833<82> (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=3414895645 for P26) (Patrick Keller / GMP-ECM B1=50000, sigma=4283842155 for P33 / Jun 9, 2005) (Sinkiti Sibata / Msieve 1.40 gnfs for P43 x P82 / 74.34 hours on Core i7 2.93GHz,Windows 7 64bit,and Cygwin / Dec 9, 2009)
10193-3 =
(9)1927<193>
= 7 · 877 · 8231 · 1678751 · 2788197000323965150474047104253804184927<40> · [42280491275836758755087153978652869290832724846826455289157915903635208116355748143771841425689564560801169376081032947336654089972281806529<140>] (suberi / GMP-ECM 6.1.2 B1=1500000, sigma=1764724577 for P40 / Mar 30, 2007) SUBMIT/RESERVE
10194-3 =
(9)1937<194>
= 97 · 2797 · 13068964567247<14> · 670549628153749<15> · 33277844999548027200089593129<29> · 1263887731759476343000875801231412637930730552439455420562992121150851058349170733639270998372943091867382096788885439846712019565259<133> (Shusuke Kubota / GMP-ECM 5.0.3 P-1 B1=50000000, B2=7260750615 for P29)
10195-3 =
(9)1947<195>
= 29 · 757 · 10957 · 20143 · 353847791062159699<18> · [583275613848394211006060846973932998595716812487368173531414589234865038225997375003991107373880894511318430122892924560677852100967255421279281522854103254996749701<165>] SUBMIT/RESERVE
10196-3 =
(9)1957<196>
= 13 · 23 · 769 · 13230939634531520926993<23> · 925002610176773043912732992351<30> · [3553602327402028893556119121731169668177136744575884432068937264628665391192256931521572516434709261481036470145815539584064245135671768409<139>] (Patrick Keller / GMP-ECM B1=250000, sigma=2342286727 for P30 / Jun 9, 2005) SUBMIT/RESERVE
10197-3 =
(9)1967<197>
= 310081 · 7705783 · 19800200290640756281384783<26> · 2113676338782529383631911341697070869314713846244158628386025817812523873083823305465977453836754943580723873981756958063209332596570098946045694781651672856933<160> (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=1257002304)
10198-3 =
(9)1977<198>
= 107 · 41953 · 2073251 · 170947076955579065366679559020455279601325092541107320602777<60> · 628549720461649540602505044227176831559394137125927190012807677679511205356326919345974981953850728143083406586903933619438341<126> (Robert Backstrom / Msieve 1.44 snfs / Mar 16, 2012)
10199-3 =
(9)1987<199>
= 7 · 216878171849094139<18> · [6586976533375806656026420070382308141629367098553920660678210994865646716850962879287115779482098832338280819748307076911975512973091245750400255587262005488705451646057080043401889<181>] SUBMIT/RESERVE
10200-3 =
(9)1997<200>
= 709 · 9851 · 534746072974693544711<21> · 26774775732017631627514624545783732791434385215877533890041040259902843412544963322536165460075231707657753257242364780631714040810943945024002334970573964625100669885838253<173>

4. References

Copyright (C) 1999-2012 Makoto Kamada All Rights Reserved.