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Factorizations of 200...003

Table of contents

  1. About 200...003
  2. Prime numbers of the form 200...003
  3. Factorizations of 200...003
  4. References

1. About 200...003

First ten terms

23, 203, 2003, 20003, 200003, 2000003, 20000003, 200000003, 2000000003, 20000000003

General term

2·10n+3

Related tables

2. Prime numbers of the form 200...003

Last update

Mar 9, 2010

Searched up to

n≤100000

Difficulty of search

23.69%

Results

  1. 2·101+3 = 23 is prime.
  2. 2·103+3 = 2003 is prime.
  3. 2·105+3 = 200003 is prime.
  4. 2·106+3 = 2000003 is prime.
  5. 2·107+3 = 20000003 is prime.
  6. 2·1012+3 = 2(0)113<13> is prime.
  7. 2·1016+3 = 2(0)153<17> is prime.
  8. 2·1017+3 = 2(0)163<18> is prime.
  9. 2·1022+3 = 2(0)213<23> is prime.
  10. 2·1024+3 = 2(0)233<25> is prime.
  11. 2·1035+3 = 2(0)343<36> is prime.
  12. 2·10115+3 = 2(0)1143<116> is prime. (Makoto Kamada / PPSIQS / Sep 27, 2004)
  13. 2·10120+3 = 2(0)1193<121> is prime. (Makoto Kamada / PPSIQS / Sep 27, 2004)
  14. 2·10358+3 = 2(0)3573<359> is prime. (searched by Makoto Kamada / Sep 27, 2004) (certified by Makoto Kamada / PPSIQS / Dec 30, 2004)
  15. 2·101488+3 = 2(0)14873<1489> is prime. (searched by Makoto Kamada / Sep 27, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Aug 25, 2006)
  16. 2·101819+3 = 2(0)18183<1820> is prime. (searched by Makoto Kamada / Sep 27, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Jun 29, 2006)
  17. 2·104679+3 = 2(0)46783<4680> is PRP. (Makoto Kamada / PFGW / Dec 18, 2004)
  18. 2·109821+3 = 2(0)98203<9822> is PRP. (Makoto Kamada / PFGW / Jan 3, 2005)
  19. 2·1027217+3 = 2(0)272163<27218> is PRP. (Dmitry Domanov / Prime95 v25.11, pfgw / Mar 8, 2010)
  20. 2·1027693+3 = 2(0)276923<27694> is PRP. (Dmitry Domanov / Prime95 v25.11, pfgw / Mar 8, 2010)

3. Factorizations of 200...003

Last update

Jan 12, 2012

Completed up to

Range

n≤250

Terms which have not been factored yet

n=202, 205, 206, 209, 210, 211, 215, 216, 218, 219, 220, 222, 224, 226, 231, 232, 235, 237, 239, 241, 243, 244, 250 (23/250)

Results

2·101+3 =
23
= definitely prime number
2·102+3 =
203
= 7 · 29
2·103+3 =
2003
= definitely prime number
2·104+3 =
20003
= 83 · 241
2·105+3 =
200003
= definitely prime number
2·106+3 =
2000003
= definitely prime number
2·107+3 =
20000003
= definitely prime number
2·108+3 =
200000003
= 7 · 31 · 223 · 4133
2·109+3 =
2000000003<10>
= 17 · 211 · 233 · 2393
2·1010+3 =
20000000003<11>
= 79 · 253164557
2·1011+3 =
200000000003<12>
= 47 · 1171 · 3633919
2·1012+3 =
2000000000003<13>
= definitely prime number
2·1013+3 =
20000000000003<14>
= 617 · 64879 · 499621
2·1014+3 =
200000000000003<15>
= 7 · 8431 · 3388854059<10>
2·1015+3 =
2000000000000003<16>
= 19 · 105263157894737<15>
2·1016+3 =
20000000000000003<17>
= definitely prime number
2·1017+3 =
200000000000000003<18>
= definitely prime number
2·1018+3 =
2000000000000000003<19>
= 107 · 1279 · 14614221098551<14>
2·1019+3 =
20000000000000000003<20>
= 21977 · 910042316967739<15>
2·1020+3 =
200000000000000000003<21>
= 7 · 173 · 2339 · 81971 · 861381217
2·1021+3 =
2000000000000000000003<22>
= 11850947 · 168762884518849<15>
2·1022+3 =
20000000000000000000003<23>
= definitely prime number
2·1023+3 =
200000000000000000000003<24>
= 232 · 31 · 79 · 174456743 · 884907301
2·1024+3 =
2000000000000000000000003<25>
= definitely prime number
2·1025+3 =
20000000000000000000000003<26>
= 17 · 61 · 181 · 106554713181350794099<21>
2·1026+3 =
200000000000000000000000003<27>
= 7 · 3793020318169<13> · 7532632618541<13>
2·1027+3 =
2000000000000000000000000003<28>
= 1433 · 6053 · 335676199 · 686898522953<12>
2·1028+3 =
20000000000000000000000000003<29>
= 944220544009<12> · 21181492106794667<17>
2·1029+3 =
200000000000000000000000000003<30>
= 541 · 2659 · 139031879314767479609237<24>
2·1030+3 =
2000000000000000000000000000003<31>
= 29 · 199 · 8837 · 1632417869<10> · 24023856568681<14>
2·1031+3 =
20000000000000000000000000000003<32>
= 8898053 · 723962431 · 3104695253724121<16>
2·1032+3 =
200000000000000000000000000000003<33>
= 72 · 227 · 13326490787<11> · 1349249466612248603<19>
2·1033+3 =
2000000000000000000000000000000003<34>
= 19 · 376757 · 279392706425459492737396141<27>
2·1034+3 =
20000000000000000000000000000000003<35>
= 241 · 3229088693532413<16> · 25699991466148591<17>
2·1035+3 =
200000000000000000000000000000000003<36>
= definitely prime number
2·1036+3 =
2000000000000000000000000000000000003<37>
= 59 · 79 · 120943 · 3547890075714688351659371161<28>
2·1037+3 =
20000000000000000000000000000000000003<38>
= 5049497107807891<16> · 3960790465465279655633<22>
2·1038+3 =
200000000000000000000000000000000000003<39>
= 7 · 31 · 348331826708401<15> · 2645922409342926726059<22>
2·1039+3 =
2000000000000000000000000000000000000003<40>
= 211 · 2341 · 88033849 · 45993497522560350084477797<26>
2·1040+3 =
20000000000000000000000000000000000000003<41>
= 6770723 · 2359303200251<13> · 1252019786340070350611<22>
2·1041+3 =
200000000000000000000000000000000000000003<42>
= 17 · 11764705882352941176470588235294117647059<41>
2·1042+3 =
2000000000000000000000000000000000000000003<43>
= 473476023375163705877<21> · 4224078731047546560439<22>
2·1043+3 =
20000000000000000000000000000000000000000003<44>
= 6263 · 2187467868975357653<19> · 1459842158613772062977<22>
2·1044+3 =
200000000000000000000000000000000000000000003<45>
= 7 · 419 · 1091 · 1115911 · 22068793 · 2537961573918528140906387<25>
2·1045+3 =
2000000000000000000000000000000000000000000003<46>
= 23 · 83 · 5281 · 1137872495299<13> · 174346928210271221879232893<27>
2·1046+3 =
20000000000000000000000000000000000000000000003<47>
= 601 · 10825259 · 734482643 · 4185387670524992598018391019<28>
2·1047+3 =
200000000000000000000000000000000000000000000003<48>
= 176905403 · 1130547719902031482893713540224658938201<40>
2·1048+3 =
2000000000000000000000000000000000000000000000003<49>
= 6871 · 10949 · 26584934299123232854555060648941702283057<41>
2·1049+3 =
20000000000000000000000000000000000000000000000003<50>
= 79 · 253164556962025316455696202531645569620253164557<48>
2·1050+3 =
200000000000000000000000000000000000000000000000003<51>
= 7 · 6491 · 237151 · 1153609 · 8988086730774101<16> · 1790067864550241141<19>
2·1051+3 =
2(0)503<52>
= 19 · 197 · 159239027032849<15> · 3355526347347494765062846183242829<34>
2·1052+3 =
2(0)513<53>
= 409 · 4335631 · 10342885269851<14> · 1090467352009655798670870606607<31>
2·1053+3 =
2(0)523<54>
= 31 · 829 · 14753 · 527513318280406704433683764738692440130410049<45>
2·1054+3 =
2(0)533<55>
= 1129 · 5536417031655899<16> · 319968523864926281807959061371083793<36>
2·1055+3 =
2(0)543<56>
= 947 · 630641640613593647<18> · 33488629391928160215301711261193567<35>
2·1056+3 =
2(0)553<57>
= 7 · 87796968481<11> · 9368987878212461<16> · 34734396543207627172561909369<29>
2·1057+3 =
2(0)563<58>
= 172 · 47 · 47161 · 381357863 · 1982502477023<13> · 4129570129161813841531043869<28>
2·1058+3 =
2(0)573<59>
= 29 · 133373771 · 830083951270177<15> · 8577012162065861<16> · 726279061919048761<18>
2·1059+3 =
2(0)583<60>
= 36382287863<11> · 1715548838023451276899<22> · 3204327551100096307916697319<28>
2·1060+3 =
2(0)593<61>
= 97 · 3347 · 89627 · 13472671 · 195022804897<12> · 26159207707463133368869943944733<32>
2·1061+3 =
2(0)603<62>
= 197689 · 493060093873981<15> · 2608655530952645899<19> · 78655827078856343401733<23>
2·1062+3 =
2(0)613<63>
= 7 · 79 · 67187 · 5382940938022136860142931615845020393406317220316048073<55>
2·1063+3 =
2(0)623<64>
= 173 · 709 · 123805374165243868085316016373<30> · 131703755921620208014649133623<30>
2·1064+3 =
2(0)633<65>
= 241 · 82987551867219917012448132780082987551867219917012448132780083<62>
2·1065+3 =
2(0)643<66>
= 250214207989<12> · 799315121261189397901309758464692809702923108613928727<54>
2·1066+3 =
2(0)653<67>
= 5045396267<10> · 269952174593306396039669287<27> · 1468411861087106185253786003407<31>
2·1067+3 =
2(0)663<68>
= 23 · 3083 · 474717736202574865914293<24> · 594145999077637914442282147060469278819<39>
2·1068+3 =
2(0)673<69>
= 7 · 31 · 179 · 289067 · 12221768408569<14> · 1457419800611451039734374629295231356806366627<46>
2·1069+3 =
2(0)683<70>
= 19 · 211 · 58676451232029416603<20> · 2067397236615734055061<22> · 4112502436486078502075149<25>
2·1070+3 =
2(0)693<71>
= 193 · 1009 · 9015029 · 318197099659911533<18> · 35802897529245969120774911383627717355267<41>
2·1071+3 =
2(0)703<72>
= 107 · 155731 · 110242819 · 108873161835557496912230201617128500051561735049298977361<57>
2·1072+3 =
2(0)713<73>
= 149 · 13422818791946308724832214765100671140939597315436241610738255033557047<71>
2·1073+3 =
2(0)723<74>
= 17 · 151 · 7759 · 28481543869<11> · 35256146990949820675155255501335850511972129326274272679<56>
2·1074+3 =
2(0)733<75>
= 72 · 23909542862637059743<20> · 170711446743697725633505677829515883121491856455923629<54>
2·1075+3 =
2(0)743<76>
= 79 · 331 · 10206815431870182840270817231<29> · 7493498919620788902689385842385931447646537<43>
2·1076+3 =
2(0)753<77>
= 103035186006031<15> · 1934982246763493955490755927821<31> · 100315363558355014647859823017153<33>
2·1077+3 =
2(0)763<78>
= 7159 · 6478104454016753760887<22> · 4312505747417765608582777589439413779944095761779091<52>
2·1078+3 =
2(0)773<79>
= 5693 · 1237661 · 2486863 · 114139310551026338652399651844405362963557000608503422372020997<63>
2·1079+3 =
2(0)783<80>
= 4561 · 685978596651857<15> · 6392332516138127241768447324856462524373231004706954463263139<61>
2·1080+3 =
2(0)793<81>
= 7 · 6299 · 414473453 · 19966584998152201<17> · 548100043780603304955338234337098221979945589533507<51>
2·1081+3 =
2(0)803<82>
= 1277 · 1523 · 2530899979<10> · 133940570111507996479098559<27> · 3033556371527318787524930840338672101713<40>
2·1082+3 =
2(0)813<83>
= 825611 · 8812588523511893<16> · 2748849941029302910494614920725892417409755520329614893557061<61>
2·1083+3 =
2(0)823<84>
= 31 · 113 · 229 · 24979 · 5278397362612613211007287739<28> · 1890937814311875696421686100672206606653923849<46>
2·1084+3 =
2(0)833<85>
= 10689751 · 30870029 · 174101240977<12> · 27501614868292675787<20> · 1265800626727778453024504210132287247243<40>
2·1085+3 =
2(0)843<86>
= 61 · 263 · 784009 · 730869849769<12> · 188791641851297<15> · 92965737425275667<17> · 123958877689262908298519237788099<33>
2·1086+3 =
2(0)853<87>
= 7 · 29 · 83 · 6271 · 3708068388463<13> · 803341897652669<15> · 606376773754238324363<21> · 1047920541237702507248025832637<31>
2·1087+3 =
2(0)863<88>
= 19 · 2633 · 13351343 · 9391183921538689<16> · 60685815889202975701<20> · 5254035963287563578959421946859218396907<40>
2·1088+3 =
2(0)873<89>
= 79 · 9712441 · 98836273 · 160330424167<12> · 259333214069<12> · 636360516185020985689<21> · 9967375987265890256911580767<28>
2·1089+3 =
2(0)883<90>
= 17 · 23 · 293 · 31220972566629346037<20> · 55916398361587507836687691938105593431350598515146351210658005213<65>
2·1090+3 =
2(0)893<91>
= 1153 · 1612351060219207303<19> · 1075823634240573613236619945236180905716293882720442899436436921102117<70>
2·1091+3 =
2(0)903<92>
= 14341 · 225859 · 751763 · 45186538905301<14> · 181770388080836974514656491761082559023131975054065757127548899<63>
2·1092+3 =
2(0)913<93>
= 7 · 9241 · 162557 · 90668547845459<14> · 188080429537884826493<21> · 6577596128333935936571<22> · 169566414790523540512576421<27>
2·1093+3 =
2(0)923<94>
= 7321913 · 159129109 · 4211620326587<13> · 175746623295851659<18> · 2319100651175680426597602137387367174469580704823<49>
2·1094+3 =
2(0)933<95>
= 59 · 241 · 94427 · 3614470427<10> · 19340062151882758570550401967047<32> · 213089577421509928559482959036656417177388199<45>
2·1095+3 =
2(0)943<96>
= 1097 · 2777 · 323537 · 3184710803<10> · 63716737888419215547415929687932010189450906872448170069806562750426211617<74>
2·1096+3 =
2(0)953<97>
= 13387084763939<14> · 6888003416488249330043<22> · 21689554339683136588679658930304369012462798870108076460065939<62>
2·1097+3 =
2(0)963<98>
= 109 · 347 · 787429 · 784377317 · 145923420596482481004347<24> · 5866952744783258583080885755055224630524999042809897791<55>
2·1098+3 =
2(0)973<99>
= 7 · 31 · 26891720626840241453<20> · 34272964492098008972146833105500148126083732893462398747862634497615158084103<77>
2·1099+3 =
2(0)983<100>
= 211 · 79382035150980920346405340690307261392830949801<47> · 119405769425714490171006230771951087269574666783273<51> (Makoto Kamada / GGNFS-0.54.5b)
2·10100+3 =
2(0)993<101>
= 170547889 · 2351903621<10> · 49861360773942694081325021246938997255965585182246410257045279125241288931457688087<83>
2·10101+3 =
2(0)1003<102>
= 79 · 383 · 617 · 774799 · 1690313 · 216954797 · 18484717176979<14> · 176407766384435368999<21> · 11562800031772242924518824714175876232173<41>
2·10102+3 =
2(0)1013<103>
= 439 · 701 · 5551873 · 322353810266010223<18> · 3631408672796406702085696216743007169009354928263686873187008923205595863<73>
2·10103+3 =
2(0)1023<104>
= 47 · 2068430377411<13> · 71811408358293195292411<23> · 77125858976287579050890129854699<32> · 37144778449564313154341134715055031<35> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=1191110923 for P35 / May 15, 2007)
2·10104+3 =
2(0)1033<105>
= 7 · 1499 · 72924583 · 32500127761170009153191422527529<32> · 8042133907689848374500596451675451989411649913723669050575553<61> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=1905153368 for P32 / May 15, 2007)
2·10105+3 =
2(0)1043<106>
= 17 · 19 · 467 · 3961175617793<13> · 3347237247165798725331239871160802804281762325288903139153487422487976442557810503419931<88>
2·10106+3 =
2(0)1053<107>
= 173 · 5594493493318388089<19> · 20909268680821569816065383<26> · 988289716009437275446318931091762783722563293522184539500353<60>
2·10107+3 =
2(0)1063<108>
= 34159 · 135257 · 8581253024316133683871<22> · 70366470719053751070081322438416837323<38> · 71688355828884849285727325871272978657<38> (Makoto Kamada / Msieve 1.21 for P38 x P38 / 7.3 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / May 17, 2007)
2·10108+3 =
2(0)1073<109>
= 131 · 971 · 1663 · 211153 · 785013631 · 10956056139051043916590023409<29> · 5206172069618515898494220381496970287426897628124942838563<58>
2·10109+3 =
2(0)1083<110>
= 2719 · 8543 · 430741 · 1991149621<10> · 17549207512483876748254230582091<32> · 57204838642635824463463028377398262905391805414776179409<56> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=785503868 for P32 / May 15, 2007)
2·10110+3 =
2(0)1093<111>
= 7 · 26184862097599361168293556342151923<35> · 1091142984253028074855253881145711454222019861072878061773867745555021996423<76> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 0.48 hours on Core 2 Quad Q6600 / May 17, 2007)
2·10111+3 =
2(0)1103<112>
= 23 · 86956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478261<110>
2·10112+3 =
2(0)1113<113>
= 677 · 54670303 · 1130429630033873669<19> · 478020270900772726633696605954219944463744295928749633602720299644323342149372542277<84>
2·10113+3 =
2(0)1123<114>
= 31 · 6451612903225806451612903225806451612903225806451612903225806451612903225806451612903225806451612903225806451613<112>
2·10114+3 =
2(0)1133<115>
= 29 · 79 · 269 · 46091 · 141642068744903728734080380860557<33> · 497100539534504959831516767690043182490203130774494939527873200330969211<72> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 0.64 hours on Core 2 Quad Q6600 / May 17, 2007)
2·10115+3 =
2(0)1143<116>
= definitely prime number
2·10116+3 =
2(0)1153<117>
= 72 · 15031 · 6544399742820969529407841<25> · 41493132409708849993961614871982844651028070979055904408757610584660729478322747116357<86>
2·10117+3 =
2(0)1163<118>
= 252481430303<12> · 14233541343533<14> · 79171895467787<14> · 7029372274658901576417661765722869204475035431907927006123940343512211180833331<79>
2·10118+3 =
2(0)1173<119>
= 714997972759321<15> · 991811671612623385550841555017839892819<39> · 28203043059484251487882072762043305121719614244673667495654922297<65> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 0.96 hours on Core 2 Quad Q6600 / May 17, 2007)
2·10119+3 =
2(0)1183<120>
= 5228659514109126391498531522208323958331928046131<49> · 38250721711810786837816564744277352704880578237524903785562032046531313<71> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 1.03 hours on Core 2 Quad Q6600 / May 17, 2007)
2·10120+3 =
2(0)1193<121>
= definitely prime number
2·10121+3 =
2(0)1203<122>
= 17 · 14488801 · 65881399 · 2194247719<10> · 45230755231<11> · 39243438138434903<17> · 82493772245610301788337353942271<32> · 3835995654100008613560231526090607813<37> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=3804634123 for P32 / May 15, 2007)
2·10122+3 =
2(0)1213<123>
= 7 · 1255591 · 1846821995548619239<19> · 873192647167017533911<21> · 2445409000264004985346080302093575163<37> · 5770283446250729246099452389095675049097<40> (Makoto Kamada / Msieve 1.21 for P37 x P40 / 7.3 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / May 17, 2007)
2·10123+3 =
2(0)1223<124>
= 19 · 252444851578307<15> · 416974864952176659286921762537731373167739280498222726745880301034569498329218744986251818415970890775078491<108>
2·10124+3 =
2(0)1233<125>
= 107 · 241 · 807932595751<12> · 15473661967469980997<20> · 62038450235564933442218840576529640620666357432793040061287595166043436265300664996855027<89>
2·10125+3 =
2(0)1243<126>
= 41765060149<11> · 323601526579<12> · 9993023712544651881405293<25> · 397869046237867494121907980309<30> · 3721939007586273114581978136315755902636906895389<49> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=3873787057 for P30 / May 15, 2007)
2·10126+3 =
2(0)1253<127>
= 9496596035573<13> · 72990180616825855013<20> · 1363935016086710284190348118562849<34> · 2115455595883918282267614450587132366299796154935856176143403<61> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 2.12 hours on Core 2 Quad Q6600 / May 19, 2007)
2·10127+3 =
2(0)1263<128>
= 79 · 83 · 32843 · 3835231 · 1195589420583881466001<22> · 8927757006598681262632931194240133629<37> · 2268642375519091333458799446695979155571481664083795247<55> (Jo Yeong Uk / Msieve v. 1.21 / 01:31:38 on Core 2 Quad Q6600 / May 19, 2007)
2·10128+3 =
2(0)1273<129>
= 7 · 31 · 2963 · 193441 · 1608014948402127570106586247594522610290635832095644274448651737684348026668594835032873733512861038079830762256699673<118>
2·10129+3 =
2(0)1283<130>
= 199 · 211 · 108307883 · 439778908259318879132175124451656910736124888008620424152716208102430896908420952389976088353089547098694511271471669<117>
2·10130+3 =
2(0)1293<131>
= 12197 · 103423915189057<15> · 15854625846360807465839312919222637107991076910585397853870551265862533057270279414491351892335733031540359985607<113>
2·10131+3 =
2(0)1303<132>
= 8093 · 4567358173159<13> · 540506822274149821<18> · 20250623254125963298303817<26> · 494328683079133106401078242337242213766572794591865006865231436633400917<72>
2·10132+3 =
2(0)1313<133>
= 463 · 275297805609606581<18> · 81483035220514238963<20> · 192565755118774612646331983883006930030794800546537948994802291846665356618143697402920173027<93>
2·10133+3 =
2(0)1323<134>
= 23 · 2739490804091120297<19> · 202774642894094696157617<24> · 1565375987184300132253742064897937509211101557738800048039377218390189814067798915031396989<91>
2·10134+3 =
2(0)1333<135>
= 7 · 157756740409116882389<21> · 245627325886145161242134796623575019<36> · 737339247296593171731659164098751163305183427019906464474193591876106604044019<78> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 3.54 hours on Cygwin on AMD 64 3400+ / May 19, 2007)
2·10135+3 =
2(0)1343<136>
= 257 · 1039 · 99257 · 7020006299581572894488170104402102406297674139<46> · 10749361742827382298904906120880763303050229911440763032084434365062835850279407<80> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 3.55 hours on Core 2 Quad Q6600 / May 20, 2007)
2·10136+3 =
2(0)1353<137>
= 23719 · 7835404340941139<16> · 107614850749561407878824124427790571175221117550451406518629318663620901554531941180527256812039819026153650029950983<117>
2·10137+3 =
2(0)1363<138>
= 17 · 1328613771450100770246781828785320550322299965818189662049<58> · 8854872751704570530521108482218419399537655969341394293738394189902236177869491<79> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 6.22 hours on Core 2 Quad Q6600 / May 20, 2007)
2·10138+3 =
2(0)1373<139>
= 22082396421516652591<20> · 90569880271293352518303498238803858248630888025984330258335249566554794436493185827628586008360528546509702442784359533<119>
2·10139+3 =
2(0)1383<140>
= 20663 · 967913662101340560422010356676184484343996515510816435173982480762715965735856361612544161060833373663069254222523350917098194841020181<135>
2·10140+3 =
2(0)1393<141>
= 7 · 79 · 7873 · 754242675153051504745993<24> · 60905079120205992651499182035774058280731042907790381089516679191263999393874607733267630012429589633047391859<110>
2·10141+3 =
2(0)1403<142>
= 19 · 167 · 511171 · 31993217 · 416824282517<12> · 40464415611439<14> · 40059260051938443901187811141767299<35> · 57043556884754993123007599776067037686087494765852279033731828829<65> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 3.69 hours on Core 2 Quad Q6600 / May 20, 2007)
2·10142+3 =
2(0)1413<143>
= 29 · 18121 · 10062555889<11> · 5499130730309<13> · 142203315288161311512583<24> · 1628892178337141932454034590460430447783<40> · 2969240859409506695099012352547967144102089819518203<52> (Jo Yeong Uk / Msieve v. 1.21 / 01:28:26 on Core 2 Quad Q6600 / May 18, 2007)
2·10143+3 =
2(0)1423<144>
= 31 · 79869969541<11> · 213191226127907995641964733297<30> · 228969479001528543632608227557<30> · 1654770841768982551074895703714451566312262310294250115213002864298336917<73> (Makoto Kamada / GMP-ECM 6.1.2 B1=50000, sigma=3963908166 for P30(2289...) / May 12, 2007) (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona gnfs for P30(2131...) x P73 / 5.26 hours on Core 2 Quad Q6600 / May 21, 2007)
2·10144+3 =
2(0)1433<145>
= 1201 · 1168960033824751568738318599288806794044795142960334049<55> · 1424581581949223240674405227318668880791852510435284297667922774714016704281163739428947<88> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp / 9.47 hours on Cygwin on AMD 64 3200+ / May 18, 2007)
2·10145+3 =
2(0)1443<146>
= 61 · 227 · 7911360529<10> · 185405024863733<15> · 1698566896904071<16> · 511073459929064433496515670727<30> · 1134320138268801249042282616951572493682856422065040483699499756236497921<73> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=1063430585 for P30 / May 15, 2007)
2·10146+3 =
2(0)1453<147>
= 7 · 14243 · 106441 · 1088196679<10> · 11297303071<11> · 1532990132749980953389945553120218010491917071949279249377201842143209739521102656071536651055954979955117249500808887<118>
2·10147+3 =
2(0)1463<148>
= 1689189684351792543788723<25> · 37217298101001103011342694765763<32> · 31813154456124267948681707302764451170058560372489661494512147777300060017072412206709935547<92> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 16.66 hours on Core 2 Quad Q6600 / May 22, 2007)
2·10148+3 =
2(0)1473<149>
= 151 · 54917 · 79496880961<11> · 360248308916767<15> · 22142194087798266515774322687941954125664442651683<50> · 3803413556430766247732445539023188610808389140958333384583058412229<67> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp / 12.42 hours on Cygwin on AMD 64 3200+ / May 19, 2007)
2·10149+3 =
2(0)1483<150>
= 47 · 173 · 197 · 3634354939784511165317<22> · 228523786955320896343849<24> · 150335330555761799982346599520277823222294967921805913894675204804052376237077781705390405123139713<99>
2·10150+3 =
2(0)1493<151>
= 487 · 1824453361909318934020125483109157972584403451163125882265065433<64> · 2250962543871412830161298255938234659251521136933600855735504876723568950774217694093<85> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp / 16.18 hours on Cygwin on AMD 64 3200+ / May 19, 2007)
2·10151+3 =
2(0)1503<152>
= 206127409853<12> · 97027367754065425165181173621119251060810058720182234045762222524054645187828405948586729316796098149047845834331461971247418816223279407551<140>
2·10152+3 =
2(0)1513<153>
= 7 · 59 · 9437 · 1077079 · 3473719 · 764892666772199274490037661811796227973<39> · 17930947920257063532703516829435538148362253000748922501535367754063948223945638948206096726431<95> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 17.03 hours on Core 2 Quad Q6600 / May 23, 2007)
2·10153+3 =
2(0)1523<154>
= 17 · 79 · 3677 · 294240857 · 1376440289607705711643874895620590896694660344209270221136185143972927196557968203597288965288158512426106493567881141417634298421288841289<139>
2·10154+3 =
2(0)1533<155>
= 241 · 141906841 · 32826981394635607932036482961957538515492937504121287<53> · 17814706504328977485410892424619338104938573843248529336228689546358190125162267028033028349<92> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 20.71 hours on Cygwin on AMD 64 3400+ / May 19, 2007)
2·10155+3 =
2(0)1543<156>
= 23 · 1111621257288759311574554337362336029819886569891919818320899807496833211589<76> · 7822495402005635711932598925376137473625943127630073484216479297850123896513649<79> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 18.69 hours on Cygwin on AMD 64 3400+ / May 18, 2007)
2·10156+3 =
2(0)1553<157>
= 97 · 125353 · 97436968800347339<17> · 43135946585687043827750397163601212657<38> · 39134557867852232577558454632800142255822036800416522850859882961102818904957125240913476934321<95> (Robert Backstrom / GMP-ECM 5.0 B1=1358500, sigma=3378444485 for P38 / May 23, 2007)
2·10157+3 =
2(0)1563<158>
= 8678368395079<13> · 59573402681404398007654718102866364909302643<44> · 38684724398115424654512004896712075071304442379362845270019006771965113736013768988351468162809875399<101> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp / 44.23 hours on Cygwin on AMD 64 3200+ / May 21, 2007)
2·10158+3 =
2(0)1573<159>
= 73 · 31 · 176891153250092117<18> · 25560955073898763070557830367<29> · 4159977593448370364304706171478541066565887961579230858181342138794851799577442531362916884055114039300431969<109>
2·10159+3 =
2(0)1583<160>
= 19 · 211 · 1895315654240578217<19> · 27027959896545436523<20> · 9738658207678451324435719062537714360497552822646565456174754048863655310132922791044018520009793860700775434306628537<118>
2·10160+3 =
2(0)1593<161>
= 269741 · 300244161062830630302818080353294695395582491459143920704439<60> · 246949676822489123478546797860086337445136656832298441810501694114885422418729064737492466489097<96> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp / 32.43 hours on Cygwin on AMD 64 3200+ / May 26, 2007)
2·10161+3 =
2(0)1603<162>
= 1645747984609139286241<22> · 23143371269685496536153160328427093498540901<44> · 5250976096680145607463471043357442149484478476541758912748098433643075952275139383190561991897383<97> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.26 / Oct 6, 2007)
2·10162+3 =
2(0)1613<163>
= 179397930216237714296595927956723<33> · 11148400639791637102996387547716707811007020632209029670143600424942142750952687051685685837339502521886454403702834010533758301361<131> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=3516208220 for P33 / May 15, 2007)
2·10163+3 =
2(0)1623<164>
= 166140237444137244767<21> · 190635692847477990579123632346869310511<39> · 631467424737264651495425260061946168071504561817690296672097889180937084893277408137330615731353547645619<105> (Robert Backstrom / GMP-ECM 6.1.3 B1=4880000, sigma=2651749020 for P39 / Dec 29, 2007)
2·10164+3 =
2(0)1633<165>
= 7 · 10370741 · 97689419 · 205274357 · 139874026753<12> · 69298219423145010197<20> · 2153254071713608720591373<25> · 6582418788086270165044449804136959083935788871362889026363451583633652174166909560151<85>
2·10165+3 =
2(0)1643<166>
= 94136405394950299<17> · 838305023383274289860418539450587157<36> · 25343717347214324824522098723663613215893017202640604427624247481323908812513490062007103784101162836271292998421<113> (Robert Backstrom / GMP-ECM 6.0.1 B1=1495500, sigma=1080719165 for P36 / Nov 12, 2007)
2·10166+3 =
2(0)1653<167>
= 79 · 729941 · 1137496712761<13> · 3151934443985899535720514258097<31> · 29139773847805639821445881025078673003<38> · 245334893549794309989767836564265608087<39> · 13531387192579406360450949532177073435621<41> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=2603024962 for P31 / May 16, 2007) (honeycrack7 / GGNFS-0.77.1-20060513-pentium4 / 149.93 hours on DualCore Intel Core 2 Duo E6400, 1600 MHz, Windows XP and Cygwin / Jun 12, 2007)
2·10167+3 =
2(0)1663<168>
= 337473788641314954387395638036113417304047480856561<51> · 4690700023174550771994364525354487199388452766958125990189<58> · 126343321023855007144178242728859599541361819987460022346207<60> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 86.06 hours on Core 2 Quad Q6600 / May 21, 2007)
2·10168+3 =
2(0)1673<169>
= 83 · 5113 · 107171503 · 57092174517726937<17> · 17170380743133123257952990693559<32> · 44858038464611919885751480065824250801088011690093127023208432690399488635724167714133938508092027766196393<107> (Robert Backstrom / GMP-ECM 6.0 B1=598000, sigma=3172473091 for P32 / Feb 8, 2008)
2·10169+3 =
2(0)1683<170>
= 17 · 4568033 · 43680967143031<14> · 5896028798213843137237197474833906963102993131581871751699684425911935230535986344105005014558253978688551536750366043892471178185550208899868740133<148>
2·10170+3 =
2(0)1693<171>
= 7 · 29 · 1013 · 76541953053300386459<20> · 12706471680112835654690980720290430949855819667071375215198272273064756284147694488613045888308212030764851003333958296721086670252760342053743103<146>
2·10171+3 =
2(0)1703<172>
= 8627 · 41713247973026961742658321646485423054431<41> · 5557713951456074967962531890753686473889384220379793822875068616831334165905093911472798378503095080109303609626110094430409519<127> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 / 206.25 hours on Core 2 Duo E6300 1.86GHz, Windows Vista and Cygwin / Jun 7, 2007)
2·10172+3 =
2(0)1713<173>
= 2213 · 40853 · 1531324534463359<16> · 2439195933333443<16> · 59225767811436665677404655299131091454174324294278314763315069306690006550853237485054095184846979975166325383100663147992888076712071<134>
2·10173+3 =
2(0)1723<174>
= 31 · 3164590541963<13> · 1377280097548571230432695973091803101076339<43> · 10704249832674713026912742559336870309487534796404441<53> · 138284106376553420246923079942434034576006381033927871198757392949<66> (suberi / GMP-ECM 6.1.2 B1=3000000, sigma=1577510330 for P43 / May 29, 2007) (JMB / GGNFS-0.77.1-20060513-athlon-xp gnfs for P53 x P66 / Sep 18, 2007)
2·10174+3 =
2(0)1733<175>
= 797 · 6299 · 398382328716015746459924829238394574988800476783971007327645363238035632510627346596410615056501569725970723281044988718808406584224099621078648041761622754642498669901<168>
2·10175+3 =
2(0)1743<176>
= 1607 · 9041761 · 65731411 · 1081691158291<13> · 76852616085817677774513791387885482895603<41> · 251898861882089203262483987189502786622824705946228241740108420753071099837412827838656218659332309040463<105> (suberi / GMP-ECM 6.2.1 B1=11000000, sigma=1680173255 for P41 / Jul 5, 2008)
2·10176+3 =
2(0)1753<177>
= 7 · 1307 · 17785019238356023897<20> · 3214888775730183633684484492940316319<37> · 382327974808924344375250235945475131233497457127498460037175594820337444676213458154174274593752449576287105681456329<117> (suberi / GMP-ECM 6.2.1 B1=11000000, sigma=3437713636 for P37 / Jul 5, 2008)
2·10177+3 =
2(0)1763<178>
= 19 · 23 · 107 · 221303620588838744540899263379<30> · 207379590086116170683595680783934802558717377003150627710449<60> · 931987848923914489652952527655347978675348054328016114007617991049256542266907254327<84> (matsuix / GMP-ECM 6.0 B1=5764801, sigma=1348195423 for P30 / Nov 13, 2007) (Bart Jans / Msieve 1.44 gnfs for P60 x P84 / Mar 31, 2010)
2·10178+3 =
2(0)1773<179>
= 337 · 1297 · 1447 · 1787 · 29365373 · 113629080538653227<18> · 5303249027172655921940588313560365248852477668638803073380969651997775203643395415597588922210937546209863336469209756209034438146229468862433<142>
2·10179+3 =
2(0)1783<180>
= 79 · 811 · 7219 · 1989079332932927<16> · 86895751811064544336849740319641090775480253420015628669829<59> · 2501810197186437126229627022814289861260018713367709797946573918927451225309193178017466201869031<97> (Bart Jans / Msieve 1.44 snfs / Apr 7, 2010)
2·10180+3 =
2(0)1793<181>
= 1979 · 2380977433<10> · 360880371169402630105325305389368378564231281<45> · 1176157985424367085220614176274745306343457486221056269990067414713580079192985994419522536405812661021796259633723616006609<124> (Bart Jans / Msieve 1.44 snfs / Apr 11, 2010)
2·10181+3 =
2(0)1803<182>
= 5511837461824511266624821670808689<34> · 1147137242371709631910079611455202628254248681165795782894651629<64> · 3163138541455391797066485435516955368132165099527456308975977784797173528030758604063<85> (Jo Yeong Uk / GMP-ECM 6.1.2 B1=3000000, sigma=2741714901 for P34 / May 18, 2008) (Bart Jans / Msieve 1.44 snfs / May 7, 2010)
2·10182+3 =
2(0)1813<183>
= 7 · 4567 · 5531 · 6976873 · 325612568869149323675616094472872656162481<42> · 497892182486974750287792449089666784458187470962260411347366511635973641176575824646685926038156271581256219799204240731569729<126> (Bart Jans / Msieve 1.44 snfs / May 11, 2010)
2·10183+3 =
2(0)1823<184>
= 37441 · 107770823 · 2316040002909679<16> · 147912404254559543507<21> · 8754945331971863643578588567<28> · 165263621461343967146615234240753093905509956335838533801711393326282423692813497174787331122094424554733471<108>
2·10184+3 =
2(0)1833<185>
= 241 · 4253 · 41715550696982867<17> · 45046753479013599736939609<26> · 16450357456538149478222257267964459<35> · 56831071349735800699564104034197250430260949<44> · 11106952378085416134328784349105056515147150726616078638907<59> (suberi / GMP-ECM 6.2.1 B1=3000000, sigma=1916602259 for P44, Msieve 1.36 for P35 x P59 / 3.02 hours on Turion 64 X2 Mobile 1.8GHz, Gentoo Linux / Jun 24, 2008)
2·10185+3 =
2(0)1843<186>
= 17 · 331 · 1493783 · 23793896485348836084155362360835910425178928920797710161916857648743628889915290695980051085831247984394491270349579323987469196155415850466965348776399545418511815476929867983<176>
2·10186+3 =
2(0)1853<187>
= 673 · 156033287693<12> · 309740823289<12> · 1457961196343189999407<22> · 20134967641613105163416519618269991614702019<44> · 2094605899089145833509298930888551259266468064190461646178542207742096721296987095217288855538371<97> (Bart Jans / Msieve 1.44 snfs / May 15, 2010)
2·10187+3 =
2(0)1863<188>
= 2650288267127376709<19> · 21691476478039441219<20> · 4899431565604784118723228083483<31> · 389595763391679786994327160166767<33> · 182258522814260407226204545556975019230375927589496525253684233311399812906067616297913<87> (suberi / GMP-ECM 6.2.1 B1=3000000, sigma=2035307540 for P33, B1=3000000, sigma=1333517547 for P31 / Jun 24, 2008)
2·10188+3 =
2(0)1873<189>
= 7 · 31 · 38749227373442623<17> · 23785222277923103118099188628420429739593966260699743933477349927854486154481670084027000572733631292076243413718690001102212460927078692317655609049585990575921572073733<170>
2·10189+3 =
2(0)1883<190>
= 211 · 617 · 186762743 · 3025939986458771807<19> · 299721566142829669823<21> · 6007634365195440036739<22> · 419817276608201618522516989479656415256109781516871114787<57> · 35960856659366982010140181518614170249139085672467809368871<59> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona gnfs for P57 x P59 / 26.59 hours on Core 2 Quad Q6600 / Jul 20, 2007)
2·10190+3 =
2(0)1893<191>
= 76949 · 1032007 · 209094547936744449194474908906729<33> · 34966959780535052264850174530936020777783<41> · 34446395954434388140001513015465553314448279869307180102939860821079122131241949069764159546294081893118303<107> (suberi / GMP-ECM 6.2.1 B1=3000000, sigma=3778450102 for P33 / Jun 25, 2008) (Bart Jans / Msieve 1.44 snfs / May 18, 2010)
2·10191+3 =
2(0)1903<192>
= 2221 · 283112539 · 5806007837521<13> · 2980061483271130133454822323000539259581<40> · 182806214988875869300773608643861228898368769920609146878022777<63> · 100560756952935629434227230943212354457451323996998349267619421881<66> (suberi / GMP-ECM 6.2.1 B1=3000000, sigma=134908296 for P40 / Jun 25, 2008) (Ignacio Santos / GGNFS, Msieve gnfs for P63 x P66 / 93.02 hours / May 7, 2009)
2·10192+3 =
2(0)1913<193>
= 79 · 173 · 276519843869<12> · 35108586452041<14> · 10356144553255211560838847446569517<35> · 34876652767087367824771974117100355091162711256918297<53> · 41733446592368214066530327214400601607954236617362271592609176269988064074729<77> (suberi / GMP-ECM 6.2.1 B1=3000000, sigma=1047461786 for P35 / Jun 26, 2008) (Bart Jans / Msieve 1.44 gnfs for P53 x P77 / Apr 3, 2010)
2·10193+3 =
2(0)1923<194>
= 1999 · 2393 · 3728792911<10> · 13204518309653988285253533541223281210472029154719159416351911592177934839932596309784809<89> · 84914855627628876822887170020630119458401404969220347791519669735345970257922349845596771<89> (Bart Jans / Msieve 1.44 snfs / Jun 9, 2010)
2·10194+3 =
2(0)1933<195>
= 7 · 443 · 27107 · 2634001 · 383403235824016344915248750822050157<36> · 95581846303913650684936313179348791612051241183194251<53> · 24649019531831500007969147622486775132580007261905157612095323460036978593433099142373379147<92> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=1503835434 for P36 / May 16, 2007) (Dmitry Domanov / Msieve 1.47 for P53 x P92 / Dec 16, 2010)
2·10195+3 =
2(0)1943<196>
= 19 · 47 · 113 · 11071 · 126588259468129963800476691109<30> · 14142292454874449256385710545341601030413458600321097720419472709733367544401014551310864221172502405148901436989368784462014075518851628332348975139832488253<158> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=1143283122 for P30 / May 17, 2007)
2·10196+3 =
2(0)1953<197>
= 457661 · 1456329317141<13> · 34739974096182333336498956398761394712665299128822051<53> · 863767795454334095995331720940616645856427889828345455035329342862116841141043748872939590809968883391913076573287926075614753<126> (Bart Jans / Msieve 1.44 snfs / Jun 22, 2010)
2·10197+3 =
2(0)1963<198>
= 29836370592137497650499<23> · 16729518439454517288281783<26> · 400682673532747702599827593186249104211952228306848094072962577538564657735619425416018392875826151577920421751986920916957351046332971959489884265159<150>
2·10198+3 =
2(0)1973<199>
= 29 · 52157717415774943068631<23> · 1202575461497852123709722181169806824814923<43> · 22388361185594023898713964704438991440520568602692290206129907529<65> · 49111000098728410999628085323532736039706325695068709498811336069491<68> (Serge Batalov / GMP-ECM 6.2.3 B1=6000000, sigma=850451545 for P43 / Oct 15, 2010) (Dmitry Domanov / Msieve 1.47 for P65 x P68 / Dec 9, 2010)
2·10199+3 =
2(0)1983<200>
= 23 · 6317 · 39503 · 20536689829<11> · 241585002691<12> · 2791892855273<13> · 7002385537531<13> · 21762838802020382865799787471876924157001<41> · 1650822877321040398455081458354580460326700853503002329227022520485062724197783051668669873368413008923<103> (Dmitry Domanov / Msieve 1.47 snfs / Dec 17, 2010)
2·10200+3 =
2(0)1993<201>
= 72 · 18873739043<11> · 1737408773621<13> · 9318870262441<13> · 288930187492555799536718659699424506652533163856455735889878594247989358356453147<81> · 46229348644433214755924438644202543849471369171438338376543760504475737398042864287<83> (matsui / Msieve 1.48 snfs / Nov 30, 2010)
2·10201+3 =
2(0)2003<202>
= 17 · 499 · 8297 · 27953 · 135936284483<12> · 7478174909367156756630085410748712977422468534861737613160675169747253134057445145178556471601933441936502429024529904963269336432687778258728232544744850286476330463387837842947<178>
2·10202+3 =
2(0)2013<203>
= 75459871 · 1660757687861<13> · 132029726597383<15> · 9456009228465959506927<22> · [127828606441688584867268676834521978946369222629609868326047197832367502648525989564511885966294539144237714844944439412493766631578846639440592193<147>] SUBMIT/RESERVE
2·10203+3 =
2(0)2023<204>
= 31 · 98824771 · 31826521971951588907640018797426848260569<41> · 192464253228251425503197451645662761118021446373745679466517231707389<69> · 10657693467274606629576372196352389258616846699807994281991491308996833263256102006083<86> (Robert Backstrom / Msieve 1.44 snfs / Feb 6, 2011)
2·10204+3 =
2(0)2033<205>
= 922693552059567526219164014955711651517626553<45> · 2167566897520579402510174783317663121012032633795105207287245005273633870851781235593020963961663381430769839565223803747783161943595916201473004874971493738651<160> (Serge Batalov / Msieve v. 1.48 snfs / Jan 23, 2011)
2·10205+3 =
2(0)2043<206>
= 61 · 79 · 109 · 181 · 6270185253559475381466662879191156254002301361611799339<55> · [33549621447984636764011339891126200355574146634975356004946236571026830298469941433227123956807431698565716673365124849410489574449474627613827<143>] (Alessandro Freda / GMP-ECM B1=110000000, sigma=3201252992 for P55 / Sep 22, 2011) SUBMIT/RESERVE
2·10206+3 =
2(0)2053<207>
= 7 · 1493 · 145681 · 167379743664560507<18> · [784813266172924462965974369050174804378355199863093258517185283014668006649924757919011993654492798313823127528810021850514058694555912478093400619866237968738954660291161647406259<180>] SUBMIT/RESERVE
2·10207+3 =
2(0)2063<208>
= 28463 · 270857311749049<15> · 16288571318055836231414241813607997<35> · 15926698743264002616454695209727957772508841403462184047924135159810624034384960317665828135137766364236937909347103242031365776291895400248541818446064377<155> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=3075943084 for P35 / Jan 19, 2011)
2·10208+3 =
2(0)2073<209>
= 1109 · 71436944250506147<17> · 252450119373201597654948715446134275552730872887285725850308683488268045526638495477171048892780548376183231758379440408052665872769375794834961942805100565271952607994912789800456845359261<189>
2·10209+3 =
2(0)2083<210>
= 83 · 2939971 · [819613035032273267280363674433916738126336653111728710478674379842768140082424302906717057896723044883079393378001232886515686596416841141449993730574991779383710255678163336362390887119356185109161371<201>] SUBMIT/RESERVE
2·10210+3 =
2(0)2093<211>
= 59 · 132961 · 235960541 · 123255603492262992869380731788381<33> · [8766124927285246214322219105633140469387335247550890677839252439018586167332818874243650891446920166237358751453015511608446565822710993808068959477889552003451057<163>] (Dmitry Domanov / GMP-ECM B1=3000000, sigma=3336103212 for P33 / Jan 19, 2011) SUBMIT/RESERVE
2·10211+3 =
2(0)2103<212>
= 120129709079129747<18> · 320864695634224136102689<24> · [518868893805583602697815544902084544203139369760181967769863835788236492551992233350349143918479847164579118058479224204023746759750913843994533501875405961264202848581041<171>] SUBMIT/RESERVE
2·10212+3 =
2(0)2113<213>
= 7 · 38496606209232151<17> · 742180451340062528227535521336169138404002826725617135772703402768721777245828258151928229695371074391441333567669377366841210502466789476289267172884323948773443939155235772244657750673727756579<195>
2·10213+3 =
2(0)2123<214>
= 19 · 919 · 114540977034534104575912032529637477807685699559017238417043697382738674760895710440410056697783632094381765076456102170551514804421281713533016436630204455644006643376668002978065402897886718973712845770574423<210>
2·10214+3 =
2(0)2133<215>
= 241 · 1619 · 42221 · 37262721821558861<17> · 3632556955692305706440794709<28> · 8969135440593066498734675211077118928811663535006195925575616095025581967057826520226410860467849287373698754437042850436113023253436917353753985144312715009333<160>
2·10215+3 =
2(0)2143<216>
= 4673 · 39023 · 1872705139<10> · 2315119477427<13> · [252971007082776135066763747116216175542981454112540496602835395514433352483935139362259371385643915343246703950245513368969132886370755877136933092960218203213898861238144955345543284069<186>] SUBMIT/RESERVE
2·10216+3 =
2(0)2153<217>
= 1489 · 29573 · 34577051987<11> · 26412230044931<14> · [49733254556440467345555717781413056927413691379894465197811480329729888806319455311552540858220508149706925891189714204429129641329688474722422829095134367772028561921686063926754363567<185>] SUBMIT/RESERVE
2·10217+3 =
2(0)2163<218>
= 17 · 16699 · 559644102114152267<18> · 125886360640615329294549164099099962516705818939230272513440333767789278951309678425967239340614738015910070466395740282195750050532416460698585576215517668174106663671701131485715926439291166523<195>
2·10218+3 =
2(0)2173<219>
= 7 · 31 · 79 · 13163 · [886315387469013361554560673426685712816203373290661560828252689172840802436449092798368846432471327065715663846081689854590166900676825439329143628910843935375217564392109135877994148980106469433603563952168767<210>] SUBMIT/RESERVE
2·10219+3 =
2(0)2183<220>
= 211 · 2551 · 58733 · 3009379 · 5210336205293<13> · 39016104670831<14> · [103411385229762574181802438435958285783436018009217874447763736636810135120910644945488220657870979527127246795095840422185512351937430391289324389704528667455551112941838980283<177>] SUBMIT/RESERVE
2·10220+3 =
2(0)2193<221>
= 149 · 389 · 292661 · [1179041994141559515017301685792869639678619654902955190181062119360156988347368978086057323783407356176740182585291288733630191933167158136772766993073746868800564218472906423296342095944566915247083093126788543<211>] SUBMIT/RESERVE
2·10221+3 =
2(0)2203<222>
= 23 · 37517 · 25003480167225978761525393<26> · 9269868965482461920365872046686368716507671215562464587171310967501613185950741150960505854263916063747711092393970640563799117192019806575816404340831636335491844443016657182825495244786681<190>
2·10222+3 =
2(0)2213<223>
= 218003 · 116380960268883306723328214228163601<36> · [78828922318119065403234394615433293660469542849350510226921356392122091379600090147636111088040177054842196160015844453814149954769318101951795548509042646285277210926199665644990401<182>] (Serge Batalov / GMP-ECM B1=2000000, sigma=1752800746 for P36 / Jan 18, 2011) SUBMIT/RESERVE
2·10223+3 =
2(0)2223<224>
= 151 · 1103 · 5477 · 210791936216237<15> · 104011366447992868862075514565329112745076256206226925730827402089293655265715077204489007892479858548078769076644752390302098744911576753063789415771653062525903005338124968716736285630126760008426299<201>
2·10224+3 =
2(0)2233<225>
= 7 · 437061259067<12> · 41089321594798523<17> · 890223907372673457938571679703545757<36> · [1787151701548524387903195299690431520093373097727907094498649497906950672460141437215291719682995360031492337865605218342105884642691595091330769447087164726417<160>] (Dmitry Domanov / GMP-ECM B1=11000000, sigma=233003545 for P36 / Jul 18, 2011) SUBMIT/RESERVE
2·10225+3 =
2(0)2243<226>
= 563 · 4812707 · 3069224027<10> · 24133133373107371<17> · 1111049353573404887<19> · 8969258171752867055924296849670930550442088534415101169615212244920435090453250276086265008133638483421328413031920737788219490078168364958843642998703273968107704041335477<172>
2·10226+3 =
2(0)2253<227>
= 29 · 12720941 · 4966037309<10> · 34438403026587033518317081057<29> · [317000375895328640659077064321914980895715091059752868726899350872299949446632784374901657567845955174774039347737194439176440705188593589871127357659615217968537832393675036805879<180>] SUBMIT/RESERVE
2·10227+3 =
2(0)2263<228>
= 43487 · 307094493299567<15> · 5031198260593263891617<22> · 74886256965519871334769275700323<32> · 2101902840186131241722118415897003086697369<43> · 18910905566000687007887699558211333779414413422462577851011490134640200866850723840023041133175444944230137768633<113> (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=482573774 for P32 / Jan 16, 2011) (Wataru Sakai / GMP-ECM 6.3 B1=11000000, sigma=2936496433 for P43 / May 1, 2011)
2·10228+3 =
2(0)2273<229>
= 199 · 1181 · 6173 · 105084989 · 17083918279<11> · 767896302209505050003146912464602518879633928669251854961606907754707101127257051516487414995613832836219063828809988072496657112464532568896658630809131958305759599030725192301495881944030727513796599<201>
2·10229+3 =
2(0)2283<230>
= 57107 · 108541 · 200971 · 1018007 · 18783727546253<14> · 139480357090048738747355796955163<33> · 6019602897740235756130241844286505519803719669335035781200606880871282490177308360796844372059325837131408698158912333639168832200933397020123068003317475286785943<163> (Serge Batalov / GMP-ECM B1=2000000, sigma=4237028320 for P33 / Jan 18, 2011)
2·10230+3 =
2(0)2293<231>
= 7 · 107 · 223 · 69904523675109869<17> · 17129237623550992616750351617709202709533809357071908993032797476481392213963174100140023682464905339612490610153686632309834113557467080452653861824477378381369274461653695705520666714985089643165962577594581<209>
2·10231+3 =
2(0)2303<232>
= 19 · 79 · 11891717 · 38773021789<11> · [2889848589223310068582898195963836639605733550349687949335421461139771004744739092568081649765636725600484496551302032050831552845719387373767476674250142611115949962655698290636649396934095749080898736387254831<211>] SUBMIT/RESERVE
2·10232+3 =
2(0)2313<233>
= 7757 · 1983458117<10> · 35477375981<11> · 32854650334137656373025109<26> · [1115230992231219525093935652700459962561930226189495351365378090501583642879698362872613182356996939184097528594356646165121534915225609606754297555863867313590072944755718784146721203<184>] SUBMIT/RESERVE
2·10233+3 =
2(0)2323<234>
= 17 · 31 · 104889594944747<15> · 6160704186583644264137<22> · 587295422704655809349817396130905113438043456227891303437473279582171770052483662201661781514575828749320095609995888002571810211543553879356143372283394678232933610496139925359228388934781475951<195>
2·10234+3 =
2(0)2333<235>
= 551441743 · 158143764891244446038167<24> · 22933919497913977171778558583614097888939205081185324665189950263391327271913165449056636945666180797040352470805868301231825776544777134600436817156295398518486563779353472664582135657555615616107347963<203>
2·10235+3 =
2(0)2343<236>
= 173 · 293 · 1516733 · 294554881 · [883163094483570495959751225364804016216796081483887433434970259668179052053232917279479098668832883409240506661897440442120102149867097006564449699198545176471841541651334592956723541180109013791343508927355344516799<216>] SUBMIT/RESERVE
2·10236+3 =
2(0)2353<237>
= 7 · 197848571 · 680172929372689<15> · 6984623751214589<16> · 416009117829833083931<21> · 112666061761374014547050603<27> · 273994941568772804037816247<27> · 148691185111062034661216400753058174723061987<45> · 15918896058929104333330760038031728946908584744344451554408900071070386231777447<80> (Andreas Tete / Yafu v1.22.2 via GGNFS on WinVista32bit / Jan 21, 2011)
2·10237+3 =
2(0)2363<238>
= 587 · 92829259 · 18877420280809<14> · 142021478699030646324860885993783768119<39> · [13690217111594783314619463689226499071555190513349892541083842609630416872677669415663111999492708401815762453729898439891566177393690214165528597076261819633127506334295042421<176>] (Dmitry Domanov / GMP-ECM B1=11000000, sigma=1464538622 for P39 / Jul 16, 2011) SUBMIT/RESERVE
2·10238+3 =
2(0)2373<239>
= 131 · 1543 · 20833460994718767148414253<26> · 4749319098808241578588785782853549672516143137789110959080051266021108694004298480837066161372210284262884736244200738150798102719444003766128819278468353043485087801017164670262032907314185556412929499602547<208> (Serge Batalov / GMP-ECM B1=2000000, sigma=821564662 for P26 / Jan 18, 2011)
2·10239+3 =
2(0)2383<240>
= 593 · 6579439 · 56572949627327999337675814857559<32> · [906103096831503939361731342546528364684210293919371206439035784124966108509353686804188830570103109859260183043890148370161842294031943573339314265046061597981936935053465686921478148223421848012971<198>] (Dmitry Domanov / GMP-ECM B1=3000000, sigma=1522721609 for P32 / Jan 19, 2011) SUBMIT/RESERVE
2·10240+3 =
2(0)2393<241>
= 8546647 · 66531131 · 3517299275323177196396323878242807957296633507054190178337309036220354881411576344233898437853877392305738457939717984652385479674563799775822117909026234210925740713862954661188386837489874709778115533632841577009120161049679<226>
2·10241+3 =
2(0)2403<242>
= 47 · 233 · 6369681529<10> · [286720336485927528157074630618560246464682164906916560287778508735396405547709213906203402043919871078730293858859443563398583806211514827063151439774576464197437626780420026839120378675172965216885214233401641105690900415972557<228>] SUBMIT/RESERVE
2·10242+3 =
2(0)2413<243>
= 72 · 598301600617633238291925741066574249<36> · 6822031979937394094042382427923263195497047248689958485459220266506440404563867042452394156523754522724427523385409471476713046867648435929206332216179985044859877132275189312944267098519986626078807305403<205> (Dmitry Domanov / GMP-ECM B1=11000000, sigma=2971613829 for P36 / Jan 21, 2011)
2·10243+3 =
2(0)2423<244>
= 23 · 14612779 · 26291210089<11> · 968296582236923032226465104845999109<36> · [233749326899097806110029159166617589598305063532831757381274243679957200416005087451099431222578019841974486267326745833842240275357267003215028562089459447719620647828761509015726182290459<189>] (Dmitry Domanov / GMP-ECM B1=3000000, sigma=2876315301 for P36 / Jan 19, 2011) SUBMIT/RESERVE
2·10244+3 =
2(0)2433<245>
= 79 · 241 · 23357 · 30306914117061908001539<23> · [1483976702264232854261938813281277880100327562156834705502405347634883182582526949591509599762246003499087045626689364686926224013083697359708684746078327315819050090130912952860709553024048266083848883483412767499<214>] SUBMIT/RESERVE
2·10245+3 =
2(0)2443<246>
= 6397592281888306385172750508836130410647589273710135869<55> · 15176510844417676322078085602490646507276983688902079473476701244300421692052915503455058979721<95> · 2059878003651738705074583981500086714416914728639047071846532324077474145687339476014622364979847<97> (RSALS + Greg Childers / ggnfs-lasieve4I14e on the RSALS grid + MPI msieve on Greg's local cluster for P55 x P95 x P97 / Jan 12, 2012)
2·10246+3 =
2(0)2453<247>
= 179 · 365531 · 30566995295999243405732433426727221310807821647818114884798573206020371465716004583765480597454542636824251805160653326119318663508871894624440828402864255840615372303939433088304732891152198281251478200788142463411574091897745636718077347<239>
2·10247+3 =
2(0)2463<248>
= 197 · 8389 · 228421 · 2035604521<10> · 1471650239089<13> · 3947817424007308101721<22> · 15422695734406081196708125159<29> · 3581989853921960120548906898407049839043637359408048176681208494286388294114721<79> · 81091966621377691240046862198509221528146383892810244318568626109720151817358689211161<86> (RSALS + Dmitry Domanov / ggnfs-lasieve4I14e on the RSALS grid + msieve 1.48 for P79 x P86 / Sep 11, 2011)
2·10248+3 =
2(0)2473<249>
= 7 · 31 · 751139 · 470548921 · 832020595489<12> · 2175023636256101<16> · 1440944025546825142960647490142040032702715767858842028691963963263079474355335659996734514032766031645514968183756071995596126153005613326680482598728281482205019126619388376059797643533787115301964915549<205>
2·10249+3 =
2(0)2483<250>
= 17 · 19 · 211 · 74405353617581747<17> · 3971025890860934787900600682943<31> · 7909666651323555630402134728237229989<37> · 12556827656486953221376911514254365828179834914555972319309764786464682771324196910728503651963646825805973789346317650824775047567969464084281316289191406502779<161> (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=2396372955 for P31 / Jan 17, 2011) (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=2777908596 for P37 / Jan 17, 2011)
2·10250+3 =
2(0)2493<251>
= 83 · 313 · 3463 · 5425951 · 64435901 · 4757674314221<13> · 50535856198897<14> · 47783392447158893860116169<26> · [55345202912122717976529347249871093304871619526576275890789523225522801519361635994586025998718817143781559185520702642413476397748917939412326798756484032362242880266787500113<176>] SUBMIT/RESERVE

4. References

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