29w3 = { 23, 293, 2993, 29993, 299993, 2999993, 29999993, 299999993, 2999999993, 29999999993, … }
3×101-7 = 23 =
definitely prime number 素数
3×102-7 = 293 =
definitely prime number 素数
3×105-7 = 299993 =
definitely prime number 素数
3×107-7 = 29999993 = 19 × 311 × 5077
3×109-7 = 2999999993
<10> = 227 × 13215859
3×1010-7 = 29999999993
<11> =
definitely prime number 素数
3×1011-7 = 299999999993
<12> = 73 × 22133 × 185677
3×1012-7 = 2999999999993
<13> = 59 × 50847457627
<11>
3×1013-7 = 29999999999993
<14> = 41 × 479 × 1527572687
<10>
3×1014-7 = 299999999999993
<15> = 17
2 × 2137 × 3023 × 160687
3×1015-7 = 2999999999999993
<16> = 467 × 6423982869379
<13>
3×1016-7 = 29999999999999993
<17> = 43 × 21277 × 44263 × 740801
3×1017-7 = 299999999999999993
<18> = 4363 × 2782159 × 24714629
3×1018-7 = 2999999999999999993
<19> = 41 × 1429 × 1665023 × 30752819
3×1019-7 = 29999999999999999993
<20> = 73 × 727 × 45341 × 12467313763
<11>
3×1020-7 = 299999999999999999993
<21> = 47 × 6382978723404255319
<19>
3×1021-7 = 2999999999999999999993
<22> = 29 × 14939 × 18307 × 378254887229
<12>
3×1022-7 = 29999999999999999999993
<23> = 64098527 × 468029475934759
<15>
3×1023-7 = 299999999999999999999993
<24> = 23 × 41 × 151 × 8761 × 240479984004041
<15>
3×1024-7 = 2999999999999999999999993
<25> = 56546197 × 53053965768909269
<17>
3×1025-7 = 29999999999999999999999993
<26> = 19
2 × 5660731 × 14680523253055523
<17>
3×1026-7 = 299999999999999999999999993
<27> = 5939 × 13907 × 173291 × 20960346940051
<14>
3×1027-7 = 2999999999999999999999999993
<28> = 73 × 83 × 8340752393
<10> × 59362895149139
<14>
3×1028-7 = 29999999999999999999999999993
<29> = 41 × 193 × 3791229622140780993302161
<25>
3×1029-7 = 299999999999999999999999999993
<30> =
definitely prime number 素数
3×1030-7 = 2999999999999999999999999999993
<31> = 17 × 176470588235294117647058823529
<30>
3×1031-7 = 29999999999999999999999999999993
<32> = 127453 × 33120937 × 7106709737797915013
<19>
3×1032-7 = 299999999999999999999999999999993
<33> = 67 × 4477611940298507462686567164179
<31>
3×1033-7 = 2999999999999999999999999999999993
<34> = 41 × 378411155279
<12> × 193363040931942888287
<21>
3×1034-7 = 29999999999999999999999999999999993
<35> = 127 × 236220472440944881889763779527559
<33>
3×1035-7 = 299999999999999999999999999999999993
<36> = 73 × 139 × 64969 × 8001611909
<10> × 56872186918708639
<17>
3×1036-7 = 2999999999999999999999999999999999993
<37> = 8291 × 15213119 × 23784612329642446512944717
<26>
3×1037-7 = 29999999999999999999999999999999999993
<38> = 43 × 697674418604651162790697674418604651
<36>
3×1038-7 = 299999999999999999999999999999999999993
<39> = 41 × 302941 × 614863 × 39282668639885187200647531
<26>
3×1039-7 = 2999999999999999999999999999999999999993
<40> =
definitely prime number 素数
3×1040-7 = 29999999999999999999999999999999999999993
<41> = 194167 × 2676917 × 57717954094800936155245947187
<29>
3×1041-7 = 299999999999999999999999999999999999999993
<42> = 61 × 1699 × 1129133 × 2563615806052953325816712606539
<31>
3×1042-7 = 2999999999999999999999999999999999999999993
<43> = 131 × 739 × 9413 × 58706613131
<11> × 56077731378430703911159
<23>
3×1043-7 = 29999999999999999999999999999999999999999993
<44> = 19 × 41 × 73 × 4679321 × 105566730011
<12> × 1067950267835171525809
<22>
3×1044-7 = 299999999999999999999999999999999999999999993
<45> = 1811 × 165654334621755935946990612921038100496963
<42>
3×1045-7 = 2999999999999999999999999999999999999999999993
<46> = 23 × 521 × 563 × 613919983 × 9462887771
<10> × 76544121199288610969
<20>
3×1046-7 = 29999999999999999999999999999999999999999999993
<47> = 17 × 2377 × 252381433753051
<15> × 2941614437604474434732834227
<28>
3×1047-7 = 299999999999999999999999999999999999999999999993
<48> = 1613 × 349823429 × 531664906496470899353100146638535609
<36>
3×1048-7 = 2999999999999999999999999999999999999999999999993
<49> = 41 × 89 × 719 × 2957 × 1165872165481
<13> × 331677676614535440225583259
<27>
3×1049-7 = 29999999999999999999999999999999999999999999999993
<50> = 29 × 173 × 3025369 × 3450697297
<10> × 178896439009
<12> × 3201770815343579417
<19>
3×1050-7 = 299999999999999999999999999999999999999999999999993
<51> = 5694486468763
<13> × 52682538038441998362242618863241257211
<38>
3×1051-7 = 2
(9
)503
<52> = 73 × 97 × 429570716502509
<15> × 986261300021320591903991131292917
<33>
3×1052-7 = 2
(9
)513
<53> = 38833 × 39863 × 60107 × 133789490251
<12> × 2409923634153698499717890231
<28>
3×1053-7 = 2
(9
)523
<54> = 41 × 44898546488662394786777
<23> × 162969043387170361806111445049
<30>
3×1054-7 = 2
(9
)533
<55> = 4057290239390967318353
<22> × 739409759468014964747695349027881
<33>
3×1055-7 = 2
(9
)543
<56> = 32665169 × 610358441181169
<15> × 6976225339896877
<16> × 215690436695812669
<18>
3×1056-7 = 2
(9
)553
<57> = 4589444731
<10> × 65477631887
<11> × 998316264207105833544335690930066869
<36>
3×1057-7 = 2
(9
)563
<58> = 59168881 × 7682753902800453193333
<22> × 6599499143290305535669023941
<28>
3×1058-7 = 2
(9
)573
<59> = 41 × 43 × 3990749511865583
<16> × 4263973267093125175567911209654453501117
<40>
3×1059-7 = 2
(9
)583
<60> = 73 × 163 × 25127 × 6135061588459367723
<19> × 163550254238434027608380315287367
<33>
3×1060-7 = 2
(9
)593
<61> = 109 × 2008225567242057245851228907
<28> × 13705101771816599211970478043511
<32>
3×1061-7 = 2
(9
)603
<62> = 19 × 55977197 × 152648470361440633
<18> × 184783866057050946989986973194331047
<36>
3×1062-7 = 2
(9
)613
<63> = 17 × 14124571339
<11> × 20126872010957233
<17> × 62075577991749361724417101512976267
<35>
3×1063-7 = 2
(9
)623
<64> = 41 × 937 × 78090428716453653330556784756748314548246869875315615482729
<59>
3×1064-7 = 2
(9
)633
<65> = 2762849 × 10858356718011009649821615296384275796469513896705900322457
<59>
3×1065-7 = 2
(9
)643
<66> = 67 × 661 × 5807 × 178521407 × 17792791233404596831187
<23> × 367247444439121441483719853
<27>
3×1066-7 = 2
(9
)653
<67> = 47 × 8941 × 7138998684044575907783174331968198140528809429189461886075859
<61>
3×1067-7 = 2
(9
)663
<68> = 23 × 73 × 313 × 2833 × 732889955570420529792047
<24> × 27494186665736922923964291981943409
<35>
3×1068-7 = 2
(9
)673
<69> = 41 × 83 × 487 × 929 × 1033 × 954952261 × 197529810719025559771655747127450876142381029169
<48>
3×1069-7 = 2
(9
)683
<70> = 896947 × 112842827 × 822427339 × 7344841710623
<13> × 4906824622945938092484244546324901
<34>
3×1070-7 = 2
(9
)693
<71> = 59 × 3169063 × 132074707 × 1214838968175389449030210093135645815191851627588101247
<55>
3×1071-7 = 2
(9
)703
<72> = 149 × 77377 × 1191293 × 576763553 × 37870993660572697198300908541206230781390180477529
<50>
3×1072-7 = 2
(9
)713
<73> = 4496651918177
<13> × 667163048105408665186644021277780391502794740160718246413209
<60>
3×1073-7 = 2
(9
)723
<74> = 41 × 883 × 1117 × 691437589 × 1072927892606161434458283514437101060262952971040534496587
<58>
3×1074-7 = 2
(9
)733
<75> = 7691 × 519369682548231169
<18> × 1447112285977984957481
<22> × 51899075057568853399874353813907
<32>
3×1075-7 = 2
(9
)743
<76> = 73 × 22993 × 144773 × 12345684702690221215690727658471481200746127272298324605881690669
<65>
3×1076-7 = 2
(9
)753
<77> = 127 × 754633628964966973809046907
<27> × 313026697160233703777658958599629306969374056037
<48>
3×1077-7 = 2
(9
)763
<78> = 29 × 4496509 × 47273727563
<11> × 48666256610101450693770379883958247889029074363758568768851
<59>
3×1078-7 = 2
(9
)773
<79> = 17 × 41
2 × 30491 × 1917317 × 50128051 × 35822691217329452883535973372324375749278686797074020197
<56>
3×1079-7 = 2
(9
)783
<80> = 19 × 43 × 2072057437
<10> × 524222960180108353057807908398059
<33> × 33805033443334190185461635447442263
<35>
3×1080-7 = 2
(9
)793
<81> = 1217 × 1351099 × 9418537 × 2313020227702423
<16> × 11398590629043678321871
<23> × 734732868148376568253047451
<27>
3×1081-7 = 2
(9
)803
<82> = 139 × 146084400680863009
<18> × 147741536484100240702785606335371798030497553204677813231395243
<63>
3×1082-7 = 2
(9
)813
<83> = 105041792255800663
<18> × 285600610535501664630910801196245459713208417984924484364044292911
<66>
3×1083-7 = 2
(9
)823
<84> = 41 × 73 × 4373 × 16706531 × 248433393185469030804567971
<27> × 5522539215804046633907535836205387510458237
<43>
3×1084-7 = 2
(9
)833
<85> = 1831 × 238145213 × 799426924271
<12> × 8606216821833434280793632376048651261821540928636858989221861
<61>
3×1085-7 = 2
(9
)843
<86> = 5257559 × 16292161 × 350234082530206643545873000220423449117716831546591807227963415158865007
<72>
3×1086-7 = 2
(9
)853
<87> = 534073 × 256830289 × 698096864068085227884551909064009967
<36> × 3132987804392042217894882713321800607
<37>
3×1087-7 = 2
(9
)863
<88> = 49074331215135871662164352061620157
<35> × 61131755150128619573827193417726050993904641966003949
<53> (Makoto Kamada / GGNFS-0.54.5b for P35 x P53)
3×1088-7 = 2
(9
)873
<89> = 41 × 32668049842108543
<17> × 1879560371784273560052702852157
<31> × 11916752199520156001544300802205904815323
<41>
3×1089-7 = 2
(9
)883
<90> = 23 × 529956721278463
<15> × 1221735429632752897111
<22> × 20145397717380594702864766144334667714272774673702487
<53>
3×1090-7 = 2
(9
)893
<91> = 27073 × 300073 × 128035463783099
<15> × 7155270250560533
<16> × 403089634945954657923428956224600453296801968926551
<51>
3×1091-7 = 2
(9
)903
<92> = 73 × 1912129 × 12723947 × 16434248219657
<14> × 113149242742746923725832569
<27> × 9083597058727784463071328219055034579
<37>
3×1092-7 = 2
(9
)913
<93> = 89 × 173 × 631 × 492971606256827
<15> × 2081663667995930171
<19> × 934932643516228947551119
<24> × 32184220413324863260992821813
<29>
3×1093-7 = 2
(9
)923
<94> = 41 × 3319 × 221212198618532822657518266919
<30> × 99660043725599786755884788217021864728527174110556729974193
<59> (Makoto Kamada / GGNFS-0.54.5b for P30 x P59)
3×1094-7 = 2
(9
)933
<95> = 17 × 273857 × 50736806544125182727059957829623309042903
<41> × 127006327579537107737996122558784534366651222399
<48> (Makoto Kamada / GGNFS-0.54.5b for P41 x P48)
3×1095-7 = 2
(9
)943
<96> = 3533 × 1001544527686081
<16> × 42907833229284301
<17> × 47794793502289827289
<20> × 41341876127667250973177966751544194190969
<41>
3×1096-7 = 2
(9
)953
<97> = 105716918560885019
<18> × 84826881140613763057
<20> × 334536307856845536905409704221858141814590672022973378601771
<60>
3×1097-7 = 2
(9
)963
<98> = 19 × 521 × 14361317 × 28492109297
<11> × 2370922293737
<13> × 3123875664564538643409287322339749893623803998803594503291763239
<64>
3×1098-7 = 2
(9
)973
<99> = 41 × 67
2 × 151 × 46448341 × 14699350183747451
<17> × 751154106800146859
<18> × 21048127031018388845501130427016744996720399554603
<50>
3×1099-7 = 2
(9
)983
<100> = 73 × 1543 × 22657284571
<11> × 33994238561
<11> × 73006926117795259733621
<23> × 473647476771372501389498106143899191060172913548337
<51>
3×10100-7 = 2
(9
)993
<101> = 43 × 520474043 × 2521284071
<10> × 54259042988364807699026477681
<29> × 9798504903679346799981799815998990291317699151934007
<52>
3×10101-7 = 2
(9
)1003
<102> = 61 × 270538861909140599
<18> × 1503944237661379360868402573256481
<34> × 12087320199218433786007971497669328028718661880027
<50> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 gnfs for P34 x P50 / 2.70 hours on Pentium 4 2.4GHz, Windows XP and Cygwin /
August 26, 2007 2007 年 8 月 26 日)
3×10102-7 = 2
(9
)1013
<103> = 5503 × 3539577321355187357058316586614016942558507
<43> × 154017595180034784335600556931964288371618563510589261333
<57> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs for P43 x P57 / 0.35 hours on Core 2 Quad Q6600 /
August 27, 2007 2007 年 8 月 27 日)
3×10103-7 = 2
(9
)1023
<104> = 41 × 22093 × 23599 × 5635247 × 51407263 × 85935290864503
<14> × 19008185993682724277
<20> × 2965783485720682229873326130872834525250555929
<46>
3×10104-7 = 2
(9
)1033
<105> = 14306459 × 15418327 × 2124528671
<10> × 69658927796959
<14> × 51317164112551327
<17> × 179081126555694774392291804925465911407077526573667
<51>
3×10105-7 = 2
(9
)1043
<106> = 29 × 113 × 11939 × 32843 × 26345205751
<11> × 40345426547
<11> × 188547589391012659
<18> × 11649764616834067845518116860705408548212159084371178579
<56>
3×10106-7 = 2
(9
)1053
<107> = 269 × 351599 × 85916641609
<11> × 247442640229
<12> × 738774190963452887
<18> × 20195648113222437925515153574177134536502955251016044395929
<59>
3×10107-7 = 2
(9
)1063
<108> = 73
2 × 31957 × 277589851523296053332037672941
<30> × 1002459894818158467774433246518331
<34> × 6330513515041898460559917424038309211
<37> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs for P30 x P34 x P37 / 0.45 hours on Core 2 Quad Q6600 /
August 27, 2007 2007 年 8 月 27 日)
3×10108-7 = 2
(9
)1073
<109> = 41 × 140723320772963967845461
<24> × 348045719063430961912708909
<27> × 1493946436367187554883887397135974677940055938643149095777
<58>
3×10109-7 = 2
(9
)1083
<110> = 83 × 56809 × 16216515547
<11> × 1243071210473
<13> × 2248059687775148500471809593908702163
<37> × 140399198593424783364159287344550310097264723
<45> (Sinkiti Sibata / Msieve v. 1.26 for P37 x P45 / 1.4 hours on Celeron 750MHz,Windows 2000 /
August 26, 2007 2007 年 8 月 26 日)
3×10110-7 = 2
(9
)1093
<111> = 17 × 491039 × 5146243 × 1721445263
<10> × 4056699508782791903388906801562232920260501335354127930862027874602883948349825380940979
<88>
3×10111-7 = 2
(9
)1103
<112> = 23 × 373003 × 27835335642957025433655367694790412609627019
<44> × 12562747515193989773402390442014510943362606451247158043351463
<62> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs for P44 x P62 / 0.69 hours on Core 2 Quad Q6600 /
August 27, 2007 2007 年 8 月 27 日)
3×10112-7 = 2
(9
)1113
<113> = 47 × 51329 × 23588119 × 527190145177582333444260317030062053099466733411113735957322662540237419926423245653997929202619969
<99>
3×10113-7 = 2
(9
)1123
<114> = 41 × 51513642470265587
<17> × 23701595572502442779
<20> × 50132733817468641778099964125202773
<35> × 119540802551021556641486044708047824109037
<42> (Makoto Kamada / Msieve 1.26 for P35 x P42 / 4.9 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin /
August 26, 2007 2007 年 8 月 26 日)
3×10114-7 = 2
(9
)1133
<115> =
definitely prime number 素数
3×10115-7 = 2
(9
)1143
<116> = 19 × 73 × 183978391 × 52741576847
<11> × 148097434733
<12> × 15051415032624839272796239307797611365954407544272847296283005945190961524544515279
<83>
3×10116-7 = 2
(9
)1153
<117> = 5711 × 3219174617934997967729103654362313099113789
<43> × 16317910987225509303709497983754427492567247926719168101616013003489667
<71> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs for P43 x P71 / 0.83 hours on Core 2 Quad Q6600 /
August 27, 2007 2007 年 8 月 27 日)
3×10117-7 = 2
(9
)1163
<118> = 65663146013
<11> × 1115445346207
<13> × 218367804382939724096025924452209
<33> × 187569691815535808504272490616328250324358050799297959129311747
<63> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 gnfs for P33 x P63 / 10.53 hours on Pentium 4 2.4GHz, Windows XP and Cygwin /
August 27, 2007 2007 年 8 月 27 日)
3×10118-7 = 2
(9
)1173
<119> = 41 × 127 × 167 × 1213 × 9897661 × 14329261617626323
<17> × 200539541744802669558099610471711696723801947641295708137598305473137079551362983266923
<87>
3×10119-7 = 2
(9
)1183
<120> = 78368605499
<11> × 53095903456340370936693577
<26> × 188290868464416554619696945024940247957
<39> × 382903082208360177830892669855412560821185463
<45> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 gnfs for P39 x P45 / 2.71 hours on Pentium 4 2.4GHz, Windows XP and Cygwin /
August 26, 2007 2007 年 8 月 26 日)
3×10120-7 = 2
(9
)1193
<121> = 5839 × 40493 × 7873580993
<10> ×
1611500804618018920416277327603751960929318129969962351751472775272740456386711094959536999325299568563<103>
3×10121-7 = 2
(9
)1203
<122> = 43 × 4337 × 7031670871
<10> × 21125729592553
<14> × 169087047557767
<15> × 11849991123529165669
<20> × 540461496936340133701144762007986592828319113259134309253127
<60>
3×10122-7 = 2
(9
)1213
<123> = 227 × 541 × 5821 × 2440113394861
<13> × 83874866130091704225931620360708407017715883677
<47> × 2050494856118000514981197734640153342657783824277403827
<55> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 snfs for P47 x P55 / 2.62 hours on Pentium 4 2.4GHz, Windows XP and Cygwin /
August 27, 2007 2007 年 8 月 27 日)
3×10123-7 = 2
(9
)1223
<124> = 41 × 73 × 25229 × 80436896303091941
<17> × 25717660438571745381489038333885826323571075209
<47> × 19205593766110280619993552722286434599284651570080801
<53> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 snfs for P47 x P53 / 2.60 hours on Pentium 4 2.4GHz, Windows XP and Cygwin /
August 27, 2007 2007 年 8 月 27 日)
3×10124-7 = 2
(9
)1233
<125> = 499 × 50123 × 4979165454103
<13> × 32069277584934255341895947641
<29> × 7511694512964920660213222237541918019312926923461518825741959466812334839383
<76> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 snfs for P29 x P76 / 3.48 hours on Pentium 4 2.4GHz, Windows XP and Cygwin /
August 27, 2007 2007 年 8 月 27 日)
3×10125-7 = 2
(9
)1243
<126> = 8929 × 105642398249
<12> ×
318038854042474590841624434519546128113364597743750708667591053125474563140439565756732101437336647209578296433<111>
3×10126-7 = 2
(9
)1253
<127> = 17 × 1947761627248864935777984869025486217
<37> × 90601737793013067707297429917950567899839201443202358104654069381901149336940160966925537
<89> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs for P37 x P89 / 1.98 hours on Core 2 Quad Q6600 /
August 27, 2007 2007 年 8 月 27 日)
3×10127-7 = 2
(9
)1263
<128> = 139 × 181 × 491 × 52314763871
<11> ×
46421815166515942054629056212512630972121829637426324358911515355441565203529703724844328748618857947465260707<110>
3×10128-7 = 2
(9
)1273
<129> = 41 × 59 × 54773 × 7537788328018616405984189140699812345322214029
<46> × 300382702420089950889070923665817867552296755414839069498484220494663049491
<75> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs for P46 x P75 / 2.00 hours on Core 2 Quad Q6600 /
August 27, 2007 2007 年 8 月 27 日)
3×10129-7 = 2
(9
)1283
<130> = 13634014563100632163485094139
<29> × 139215960043020963366563162682325387847822463557
<48> × 1580550856695477889083277991070258583743421455170186591
<55> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs for P29 x P48 x P55 / 2.83 hours on Core 2 Quad Q6600 /
August 27, 2007 2007 年 8 月 27 日)
3×10130-7 = 2
(9
)1293
<131> = 1171 × 278757858367742941463
<21> ×
91904598132686346780820614473422413139780712486439835126506806791746850203603242336943654784374659215916341<107>
3×10131-7 = 2
(9
)1303
<132> = 67 × 73 × 1019 × 116345861 × 977792987 × 556928995904051921
<18> × 59726562069597109314324525106720499
<35> × 15906850721045874492067807848099118867247459356850020189
<56> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 gnfs for P35 x P56 / 4.36 hours on Pentium 4 2.4GHz, Windows XP and Cygwin /
August 27, 2007 2007 年 8 月 27 日)
3×10132-7 = 2
(9
)1313
<133> = 2521 × 12924559 ×
92073080921359787437475420014943909736351050261133039298638936043529890608166831533180614686946553381372373890860885463887<122>
3×10133-7 = 2
(9
)1323
<134> = 19 × 23 × 29 × 41 × 4133 × 845895553 × 15285736889
<11> × 63642234051349873089290850183434749198604956677859
<50> × 16976338245683764819391125937000990768709124738416339799
<56> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 snfs for P50 x P56 / 6.23 hours on Pentium 4 2.4GHz, Windows XP and Cygwin /
August 28, 2007 2007 年 8 月 28 日)
3×10134-7 = 2
(9
)1333
<135> = 593 × 1974304861
<10> × 3113816399009399331502040880885247
<34> × 82292327352237237759282275303994140450126197932685043092723845873827586615938532821406403
<89> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=916588648 for P34 x P89 /
August 20, 2007 2007 年 8 月 20 日)
3×10135-7 = 2
(9
)1343
<136> = 173 × 3767 ×
4603408670673678169561954975594261697645049571039035371057755899651828857541380807775464138679220673601446084110414291435665062123<130>
3×10136-7 = 2
(9
)1353
<137> = 89 × 1259 × 19246037 × 50843011 ×
273610613173572184314688065898806371900333711622405918497593770818128895110745150711625752461204761515171765221862749<117>
3×10137-7 = 2
(9
)1363
<138> = 233 × 701 × 5477 × 21661 × 488603 × 6476427849686591970532300943502577690100886356016287
<52> × 4892540299472487410211328047955667103685004673915706548024083374513
<67> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs for P52 x P67 / 4.06 hours on Core 2 Quad Q6600 /
August 28, 2007 2007 年 8 月 28 日)
3×10138-7 = 2
(9
)1373
<139> = 41 × 119617 × 904286291 ×
676454429502225918046520757179306967939933913900456238419488571312244894562861677438863361825076381458797189851296464088459<123>
3×10139-7 = 2
(9
)1383
<140> = 73 × 743 × 1447 × 8089 × 44357 × 808196944503758129
<18> × 836617817977783013624277121
<27> × 1575577370354228377776494151421374328316543300862879300850332723907996910985253
<79>
3×10140-7 = 2
(9
)1393
<141> = 163 × 257 × 22303 × 277717378709055933498757
<24> × 37093886403445655363232597242736014387
<38> × 31169644391610806846824618395203670558943768245441618617177544108945299
<71> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 snfs for P38 x P71 / 11.33 hours on Pentium 4 2.4GHz, Windows XP and Cygwin /
August 28, 2007 2007 年 8 月 28 日)
3×10141-7 = 2
(9
)1403
<142> = 6397202872201
<13> ×
468954957335569090511649262700943541094113100410688877527511298162402599051005534156014161127050959282671746600219899815826225393<129>
3×10142-7 = 2
(9
)1413
<143> = 17 × 43 × 373 × 971 × 3350911 × 9620632886332129154929892341
<28> ×
3514870106914108345406517412425465775454616884446672411785268027905576643346816691885052515554485991<100>
3×10143-7 = 2
(9
)1423
<144> = 41 × 5461117 × 10069687 × 22362475732852823
<17> × 2637453503735239381
<19> × 2255980031085937390123230461692929651446696232854796074224525926167886189121112417153968514849
<94>
3×10144-7 = 2
(9
)1433
<145> = 18599213 × 17212516823
<11> ×
9370921697067736101509915668666524834479967418197513761679217340038627790407423975555652928877627886519362752811613681741052107<127>
3×10145-7 = 2
(9
)1443
<146> = 881 × 69669013 × 123399738089
<12> ×
3960877860017655387557299413351438582955602298745046582859124671697045089229849463136903602045141855351929003254850928494429<124>
3×10146-7 = 2
(9
)1453
<147> = 1854775915575395694657042218355139211068315081
<46> ×
161744606170893075229127752358828695970725053902533763048339214947771986894331414501673269180172824753<102> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs for P46 x P102 / 11.47 hours on Core 2 Quad Q6600 /
August 28, 2007 2007 年 8 月 28 日)
3×10147-7 = 2
(9
)1463
<148> = 73 × 97 × 1657063033
<10> ×
255674627260153646516206521906177265384354530316168720276398635139260630866908792603402370413630743079266622475357304138872093365346841<135>
3×10148-7 = 2
(9
)1473
<149> = 41 × 293 × 23176583 × 420246714641792212696158791990420325985853003
<45> × 256398832799819491996337343700283603386076585422635350041027234530711778924253071751054434289
<93> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 snfs for P45 x P93 / 25.94 hours on Pentium 4 2.4GHz, Windows XP and Cygwin /
August 31, 2007 2007 年 8 月 31 日)
3×10149-7 = 2
(9
)1483
<150> = 179 × 521 × 3463 × 5282612227
<10> × 35419352915554933199557
<23> × 21272798033221076607577777047006013
<35> × 233380215802854007300467394780726271343697166092228509059711875575719508047
<75> (Jo Yeong Uk / GMP-ECM 6.1.2 B1=1000000, sigma=2894591195 for P35 x P75 /
August 27, 2007 2007 年 8 月 27 日)
3×10150-7 = 2
(9
)1493
<151> = 83 × 189651047 × 16655019752526043619345197086882937152885261185068417
<53> × 11443075559040216743203773330203910152796400883206795006697965100458043235549364132362629
<89> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 snfs for P53 x P89 / 32.25 hours on Pentium 4 2.4GHz, Windows XP and Cygwin /
August 30, 2007 2007 年 8 月 30 日)
3×10151-7 = 2
(9
)1503
<152> = 19 × 156901 × 2776542823659779412773229802771285257042021400690501832194379669
<64> × 3624412053738393293775064001860434687254067055643958807515278373333482272091019563
<82> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 snfs for P64 x P82 / 37.52 hours on Pentium 4 2.4GHz, Windows XP and Cygwin /
September 2, 2007 2007 年 9 月 2 日)
3×10152-7 = 2
(9
)1513
<153> = 21419 × 39111724098589
<14> × 6256881900772855177774283
<25> ×
57234401466004564622314659495068850297923427270981654934536130156776665032786481422195112907293155615384079381<110>
3×10153-7 = 2
(9
)1523
<154> = 41 × 1367 × 152729 ×
350467197066908065138673900838897476819510509047630610421954277466994169648620804342420534240926520184963180073402277323673646790483330973857711<144>
3×10154-7 = 2
(9
)1533
<155> = 34019 × 609903171398591373643
<21> × 3638448521596708316295882652136033250258553
<43> × 397395170759107781009516079528422156485067127226121794287339983126117723660641650772993
<87> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs for P43 x P87 / 57.07 hours on Pentium 4 2.4GHz, Windows XP and Cygwin /
September 18, 2007 2007 年 9 月 18 日)
3×10155-7 = 2
(9
)1543
<156> = 23 × 73 × 10333 × 12641093 × 18943129103597
<14> ×
72211735649817090988968245723900684844204410757785843620258795826399357717876433788968295437619330193896011121330668926863924419<128>
3×10156-7 = 2
(9
)1553
<157> = 20326576471807
<14> × 755863572447083289435283827464011678816063064420816854967
<57> × 195260141964162497840754186283403004144880025879973776465137141067044484471377181806897
<87> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs for P57 x P87 / 45.23 hours on Cygwin on AMD XP 2700+ /
September 20, 2007 2007 年 9 月 20 日)
3×10157-7 = 2
(9
)1563
<158> = 1475129 × 1737809617
<10> × 1216200005067323
<16> × 14727583118035831
<17> × 727011729433678369
<18> × 6006402632184905734339
<22> × 149622433904500682887740394139684660311996484164146297871579604342815847
<72>
3×10158-7 = 2
(9
)1573
<159> = 17 × 41 × 47 × 3041 × 841123744137979613
<18> × 263885431718243596975433066048441779693678318105769
<51> × 13567470651611743221749122292261888185172901056388384006891037144978168857382893251
<83> (suberi / GGNFS-0.77.1-20060722-k8 snfs for P51 x P83 / 49.54 hours on Turion 64 X2 Mobile 1.79GHz, Windows XP and Cygwin /
November 3, 2007 2007 年 11 月 3 日)
3×10159-7 = 2
(9
)1583
<160> = 2659 × 629501473 × 3776223670753814722104781857341
<31> × 2429003868169712771564765938483840128221281
<43> × 195398061142744316558324686703766895073805079591953321661587802348156465519
<75> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=2566452289 for P31 /
August 22, 2007 2007 年 8 月 22 日) (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 gnfs for P43 x P75 / 56.60 hours on Core 2 Duo E6300 1.86GHz, Windows Vista /
September 21, 2007 2007 年 9 月 21 日)
3×10160-7 = 2
(9
)1593
<161> = 127 × 40829 × 1767818010311
<13> × 16453710424472833724720213
<26> × 156576499347676290337540161614647420749481
<42> × 1270342440851204099715174694929205958381506676212657967303937958146615630937
<76> (Jo Yeong Uk / GMP-ECM 6.1.2 B1=1000000, sigma=3734854031 for P42 x P76 /
August 28, 2007 2007 年 8 月 28 日)
3×10161-7 = 2
(9
)1603
<162> = 29 × 61 × 3257 × 53717 × 241313 × 32371309 × 103528123293945208277
<21> ×
1198573279750995653400341941182039366354667310712305043897588264383401423275498691870653282350121116813509672488529957<118>
3×10162-7 = 2
(9
)1613
<163> = 311 × 839 × 4051197719261188815701375854427236740369079486103
<49> × 20165397378055339711076080733916793276540156689149
<50> × 140737126881900958635390331620494185432391996158454693370011
<60> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs for P49 x P50 x P60 / 45.25 hours on Cygwin on AMD 64 3400+ /
September 20, 2007 2007 年 9 月 20 日)
3×10163-7 = 2
(9
)1623
<164> = 41 × 43 × 73 × 433163734125755498123
<21> × 984803325251956195887249668731139
<33> ×
546442521935781460110773913223987286991730594097092602213887622250012599971203648826978554376441175284731<105> (Jo Yeong Uk / GMP-ECM 6.1.3 B1=1000000, sigma=4192204273 for P33 x P105 /
October 24, 2007 2007 年 10 月 24 日)
3×10164-7 = 2
(9
)1633
<165> = 67 × 2552597274973289
<16> ×
1754139591152451686804312012432644493744524845024710249172627207544961301144157951346848542805329436820183510885167494526068893153304139532530922011<148>
3×10165-7 = 2
(9
)1643
<166> = 389 × 72612871 × 4893118907011
<13> × 9586550427068758139277418251508130186850823
<43> × 763966565598162182661254838642609221002481461
<45> × 2963709019423440832352969589339376348532317934047934059
<55> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.33 for P43 x P45 x P55 /
January 24, 2008 2008 年 1 月 24 日)
3×10166-7 = 2
(9
)1653
<167> = 25411 × 4718927 × 954512749 × 611255532829942634147397320551746694935812453256656449
<54> × 428796965068732802120208918501494985696065115728677764830252574676814510715480757019757325969
<93> (Robert Backstrom / GGNFS-0.77.1-20050930-k8 snfs, Msieve 1.33 for P54 x P93 /
January 26, 2008 2008 年 1 月 26 日)
3×10167-7 = 2
(9
)1663
<168> = 655467036657994741996643867126553366964783
<42> ×
457688919841947776110399176672643492197644369408954631966772160173721908536961345672536829147905758344010973197701056308278871<126> (Jo Yeong Uk / GMP-ECM 6.1.2 B1=3000000, sigma=3265550511 for P42 x P126 /
August 27, 2007 2007 年 8 月 27 日)
3×10168-7 = 2
(9
)1673
<169> = 41 × 109 × 12707934241218043
<17> ×
52824566435319229836793818203408945538558827619501267406240061485986182898660755947267906681573590490007191531323540884030414758595806839731210102479<149>
3×10169-7 = 2
(9
)1683
<170> = 19 × 43055561 × 10073117473
<11> × 310792818964334717
<18> × 275860320126853307413096987739888963147811740022702997
<54> × 42463353702343919630941476770580199897205148009535304984674887647746788420522251
<80> (matsui / GGNFS-0.77.1-20060513-prescott snfs for P54 x P80 /
March 7, 2008 2008 年 3 月 7 日)
3×10170-7 = 2
(9
)1693
<171> = 571 × 19364771 × 6500447580664317282363738571189216214014916119
<46> ×
4173779680365580296879466841090799172626675464658891545229584269857535434533778203229820960806843647214822728845567<115> (matsui / GGNFS-0.77.1-20060513-prescott snfs for P46 x P115 /
March 31, 2008 2008 年 3 月 31 日)
3×10171-7 = 2
(9
)1703
<172> = 73 × 26103770121167
<14> × 69185802781796879642077085597448791268734799821577537651715919383668229
<71> × 22755069893669253071145751833555900531496535657694741960060249774778750742959661038387
<86> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon, Msieve 1.38 snfs for P71 x P86 / 16.58 hours, 2.22 hours /
October 2, 2008 2008 年 10 月 2 日)
3×10172-7 = 2
(9
)1713
<173> = 131 × 461 × 1481339 × 19066031 × 12697821007221211
<17> × 907781215359903216323
<21> × 2441028438556608761871741655549673371
<37> × 625102233126823174647422983194808336324391991485377318806731843475223989628620169
<81> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=3296257244 for P37 x P81 /
August 23, 2007 2007 年 8 月 23 日)
3×10173-7 = 2
(9
)1723
<174> = 41 × 139 × 151 × 1093 × 1685407 × 6821392519
<10> × 22138926149
<11> × 77680027519201
<14> × 3426211144509826462542397
<25> × 715354854868831667492444551
<27> × 335733348651970999890000899829539707
<36> × 19604311645442277565086098446148222093
<38> (Makoto Kamada / Msieve 1.26 for P36 x P38 / 4.2 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin /
August 26, 2007 2007 年 8 月 26 日)
3×10174-7 = 2
(9
)1733
<175> = 17 × 13707838783
<11> × 37843367550258766630487
<23> × 2335652610416605452519508897978433
<34> ×
145648266590335890831386445560195486299154390924262334577765318323875048848015754190501837612604655871004353<108> (Serge Batalov / GMP-ECM 6.2.1 B1=1000000, sigma=4118715206 for P34 x P108 /
August 7, 2008 2008 年 8 月 7 日)
3×10175-7 = 2
(9
)1743
<176> = 773 × 4729 × 149615293 × 1357303109276593
<16> ×
40412862702780788089192628849723087500346075023752264918482149803781630513952722107404046737066773881468287242932636884334880874995308989642226721<146>
3×10176-7 = 2
(9
)1753
<177> = 3983827881785093
<16> × 6361621691528742703
<19> × 39095261597244485619068133819782484306059424743
<47> × 42468855839398963583713796156992828584395131493
<47> × 7129485079984366578469881481595333626428127113433
<49> (Wataru Sakai / GMP-ECM 6.3 B1=11000000, sigma=3970631523 for P47(4246...), B1=11000000, sigma=2531216095 for P47(3909...) x P49 /
September 3, 2011 2011 年 9 月 3 日)
3×10177-7 = 2
(9
)1763
<178> = 23 × 1753 × 925915713899395469251986786287599
<33> ×
80360022181039925458264011703983589381427749270077492993109687046726845066099393288440521768615672663893061938919668184954131153418567467753<140> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=1307875811 for P33 x P140 /
August 24, 2007 2007 年 8 月 24 日)
3×10178-7 = 2
(9
)1773
<179> = 41 × 173 × 1277 × 3421157 ×
968115988973227449763674672832386626010442244448659914206517852033181576471116631855105487651414173092600480303557739651720198680759948394513876215754799069497891109<165>
3×10179-7 = 2
(9
)1783
<180> = 73 × 3683111 × 16927973 × 584455519 × 482923793970269
<15> × 75814253468842025360202563
<26> × 666955264597468844867283661741291944087841
<42> × 4618500484221053916134988602864131972644643376658791905760135103112512419
<73> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona gnfs for P42 x P73 / 25.35 hours on Core 2 Quad Q6600 /
September 18, 2007 2007 年 9 月 18 日)
3×10180-7 = 2
(9
)1793
<181> = 89 × 379 × 7669 × 18218911558565048518907704188010364273260408975797311424365795208880848437
<74> × 636547581935478392192518274158705222612881545178444040160000302005921128060650521624507852845684651
<99> (Wataru Sakai / for P74 x P99 /
July 18, 2010 2010 年 7 月 18 日)
3×10181-7 = 2
(9
)1803
<182> = 1936760724982998289
<19> × 68808646991249141025719
<23> × 1724512309637715528857993530467193207
<37> ×
130537703533059377398780785440600547165396660129485394210598345885209061956376547057033455498259978403289<105> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=4240482263 for P37 x P105 /
August 3, 2008 2008 年 8 月 3 日)
3×10182-7 = 2
(9
)1813
<183> = 419 × 4657 × 149394995916071445497
<21> ×
1029117451889188198907257077051657562342164186763426363823483311211748925087377127130025159687821783849827109878279047192103969504565570579345811841061026043<157>
3×10183-7 = 2
(9
)1823
<184> = 41 × 1151 × 54986573 × 11349541095622322797
<20> ×
101865499526035948449977571645560665716712455648930126519740714243444955908259088083826485783758803608012602912655869192906249511905548209295610839024183<153>
3×10184-7 = 2
(9
)1833
<185> = 43 × 436988932087
<12> ×
1596549402916574016883694745270397851459235778990999918228926214112346987261629259980744612543824954064232287399971026376854119964045474194708452102759525007064875700732973<172>
3×10185-7 = 2
(9
)1843
<186> = 229 × 4679 × 38576168540177
<14> × 3156872466842098507811557111
<28> ×
2299093318610349359260445136357948350931575621414831473913776195298914528490153824765167995755012801405339136452353580268760527144132086709<139>
3×10186-7 = 2
(9
)1853
<187> = 59 × 18149 ×
2801667178749167671375646601437628818322156237771890126084361934308375770808682553364755587224771220527628640883234916991270938960077176591883943738787494478380935215182047663829823<181>
3×10187-7 = 2
(9
)1863
<188> = 19 × 73 × 1471 × 8087 × 2684475081689940476726062783
<28> ×
677306589355946429738517894949420454571084119778696051252547689181773844742676115175168648255986594277487583912011488270257527279428358527016188630029<150>
3×10188-7 = 2
(9
)1873
<189> = 41 × 797 × 16300343009
<11> × 4796490522412971876641932518607628488439561046089
<49> × 1548673479290345529774086700765886016829551091546368457457
<58> × 75822636452665473690053506995583104798022226107761589852599634157837
<68> (Dmitry Domanov / Msieve 1.40 snfs for P49 x P58 x P68 /
April 2, 2012 2012 年 4 月 2 日)
3×10189-7 = 2
(9
)1883
<190> = 29 × 4139 × 116881 × 184949 × 349757439117349435285448300528377
<33> ×
3305711616124445048311225343825846971474411661265757514018027000415495130450466308113753852376938088222883119475153546917208332615074442720531<142> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=3188158830 for P33 x P142 /
September 18, 2008 2008 年 9 月 18 日)
3×10190-7 = 2
(9
)1893
<191> = 17 × 8677 ×
203377421038716281718403622829793436332698343829868008053745873133164756048783464059820078774854415662773118928336576073324339531825176768875119484234860245815509562128412503643845460277<186>
3×10191-7 = 2
(9
)1903
<192> = 83 × 49033 × 2586047 × 337445182074243533
<18> × 2278631333105426678642989188997941682082106465747542676422629
<61> ×
37071570615475874792831155477310112380542882577696775118572376854857598428995124720928778214297628853<101> (Evan Engler / CADO-NFS - latest commit for P61 x P101 /
December 4, 2020 2020 年 12 月 4 日)
3×10192-7 = 2
(9
)1913
<193> = 12648047 × 135631362211
<12> × 2333106755322571
<16> ×
749554212448962449640869342236440428456031602228118119314157107776761347998286353324804275619138551461703244358095110448988070177519306688883700997316121619799<159>
3×10193-7 = 2
(9
)1923
<194> = 41 × 364541 × 7785800216772576316291503712882966307
<37> ×
257802878319858510467556950027222406520466634448254185169836969158945420710729762366838181616309841193336589551434596424788675155977440139488578094679<150> (Robert Backstrom / Msieve 1.42 snfs for P37 x P150 / 17.56 hours, 5.71 hours /
February 3, 2010 2010 年 2 月 3 日)
3×10194-7 = 2
(9
)1933
<195> = 1971621683
<10> × 204338781059399207261
<21> × 112071493021442909393674585029677197
<36> ×
6644337938019891239477287115706515132728307180369419919904025437013944643157929741455683656766105933130195700587489543602655323963<130> (Ignacio Santos / GMP-ECM 6.3 B1=1000000, sigma=2274255721 for P36 x P130 /
October 20, 2010 2010 年 10 月 20 日)
3×10195-7 = 2
(9
)1943
<196> = 73 × 367 × 1013 × 919621 × 3410320049990177024859778486328134861
<37> × 710588370560844311211918946607363690651
<39> ×
49602180799616044206014822452439128530879215132254198474045971548246026243176361683054309676103107706734841<107> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=3556153323 for P37 /
October 22, 2008 2008 年 10 月 22 日) (Dmitry Domanov / GMP-ECM B1=3000000, sigma=2230358255 for P39 x P107 /
January 31, 2012 2012 年 1 月 31 日)
3×10196-7 = 2
(9
)1953
<197> = 26358873989007219801079
<23> × 31773773717937730708136347678564195626607648185450043
<53> × 798258493834142218816022485265218572989636991735050515751
<57> × 44872684733249019767457114203614686817489313911832356356899274619
<65> (Edwin Hall / CADO-NFS/Msieve for P53 x P57 x P65 /
January 1, 2021 2021 年 1 月 1 日)
3×10197-7 = 2
(9
)1963
<198> = 67 × 25681669240470105277
<20> × 21451079937695822139779
<23> × 1876671100474280819361703093
<28> × 18169475745070368235047593594222882815709
<41> × 238365545013807894815720084404080433701714960158653579266908647472548106703098919265349
<87> (Erik Branger / GMP-ECM B1=3000000, sigma=3289226908 for P41 x P87 /
March 17, 2009 2009 年 3 月 17 日)
3×10198-7 = 2
(9
)1973
<199> = 41 × 383 × 10834836709
<11> × 134241485743
<12> × 197835467070393370849
<21> × 8802500075758542671486418965401185017
<37> × 212384281450897086772265884641508716928053917665171493
<54> × 355137834167487756278128779591238230732495635751474304374346577
<63> (Dmitry Domanov / GMP-ECM B1=11000000, sigma=4094058691, Msieve 1.48 gnfs for P37 /
February 1, 2012 2012 年 2 月 1 日) (Warut Roonguthai / Msieve 1.48 gnfs for P54 x P63 /
February 2, 2012 2012 年 2 月 2 日)
3×10199-7 = 2
(9
)1983
<200> = 23 × 152170079 × 430353680327
<12> × 652471876769
<12> ×
30526487399392689651774263149155078397800384026240819127615231748059649647496871761812017238455192441281727869964822415945908995001717358864083535426067788205120876583<167>
3×10200-7 = 2
(9
)1993
<201> = 15732113 × 863755526189
<12> × 418832359443925351
<18> × 44951452064325790309
<20> ×
1172625691123156425388693186951653980645423936681982313045099032078087799518542737600953819175328745280211938295747161126993519127664881504854511<145>
3×10201-7 = 2
(9
)2003
<202> = 521 × 233394659 × 4672031552369986670626809499465978130707974161331152603398439546146311011537
<76> ×
5280643523505586077182301594463960334870081963354059682042209561470317470642890567353455003969910783729116519924651<115> (Bob Backstrom / Msieve 1.54 snfs for P76 x P115 /
May 18, 2021 2021 年 5 月 18 日)
3×10202-7 = 2
(9
)2013
<203> = 127 × 142510913 ×
1657560585840502487621869207501035763612785472930570874560896889094939189387237439916171335401106755114885579180364657793737594230558837560354987619536052846416436319583723531912541637298259143<193>
3×10203-7 = 2
(9
)2023
<204> = 41 × 73 × 8377 × 9157 × 113891 × 25064964032797084420001
<23> ×
457737313401546278990821024689490224470963777129144349488624304526392921837237498596975563041409177524264564324068642247149428430106546569401704576797956961063477599<165>
3×10204-7 = 2
(9
)2033
<205> = 47 × 51002248147
<11> × 10749000549217158778513557457749027231026741194542467859206207
<62> × 47652203660338283574952366513377670572952146031058242436206519
<62> × 2443334923216200363548993610781570795657500575563515103027479905398469
<70> (Bob Backstrom / Msieve 1.54 snfs for P62 x P62 x P70 /
July 5, 2021 2021 年 7 月 5 日)
3×10205-7 = 2
(9
)2043
<206> = 19 × 43 × 76095278622943
<14> × 379686982565830365683
<21> × 19966634947280063053570543
<26> × 1910164605056801962748138593116089338303
<40> ×
33322694205473186360630508231473886318964276051293618476244343062950816827174736558690905758801698242429<104> (Dmitry Domanov / GMP-ECM B1=11000000, sigma=3923420883 for P40 x P104 /
February 1, 2012 2012 年 2 月 1 日)
3×10206-7 = 2
(9
)2053
<207> = 17 × 25037 × 25407727 × 34020442763937085042613013879977609
<35> × 140801971426578408284257519554963371219
<39> × 3720062413835938154892961663649333092219
<40> × 1556773055168491112293724763683697991118982438007128124441991213392696189274386379
<82> (Warut Roonguthai / GMP-ECM 6.3 B1=1000000, sigma=719488498 for P35 /
January 24, 2012 2012 年 1 月 24 日) (Dmitry Domanov / GMP-ECM B1=3000000, sigma=2209714618 for P39 /
January 27, 2012 2012 年 1 月 27 日) (Warut Roonguthai / Msieve 1.48 gnfs for P40 x P82 /
January 28, 2012 2012 年 1 月 28 日)
3×10207-7 = 2
(9
)2063
<208> = 4283 × 9176425667667057667376017012781
<31> ×
[76330767518451986798699896620642609907033541142209241008559334631604494380120898044100935293019833994137547168800074791371324296185047184739934177802725003143776336307620391<173>] (Warut Roonguthai / GMP-ECM 6.3 B1=1000000, sigma=2814858925 for P31 /
January 24, 2012 2012 年 1 月 24 日)
Free to factor
3×10208-7 = 2
(9
)2073
<209> = 41 × 294499 × 1455911428278081021532901873885292547366838901791
<49> × 553726652395484348516863240141085539457939847503285782178732493733709998043
<75> × 3081932982863625293955267093932739087696663713002317182189538458288072588386879
<79> (Bob Backstrom / Msieve 1.54 snfs for P49 x P75 x P79 /
September 13, 2020 2020 年 9 月 13 日)
3×10209-7 = 2
(9
)2083
<210> = 2909 × 403011210473
<12> × 21909999990167
<14> × 13551971611337418206009782826461843803479
<41> × 446743347437958316597541882113096328269014841349869967
<54> × 1929112041292261523812283490804809257532580123845026970901914305722645611322339668669179
<88> (Dmitry Domanov / GMP-ECM B1=43000000, sigma=4097466950 for P41 /
March 13, 2012 2012 年 3 月 13 日) (Erik Branger / GGNFS, Msieve gnfs for P54 x P88 /
October 12, 2016 2016 年 10 月 12 日)
3×10210-7 = 2
(9
)2093
<211> = 509 × 677 ×
8705922639171428322687924595102047923202154425655773622795587838406467920126061759815202282112521148137077653927967196083495602058080111900125655483425374282124129044989306225024884428876964999289016317801<205>
3×10211-7 = 2
(9
)2103
<212> = 73 × 69691 × 20114242391466369353
<20> ×
293168981967499126248709642324438392387177720156668466369590826623092732715607816014197928903546518245624796619942586938235279660512085869033613932066583830291233246222436414078707055467<186>
3×10212-7 = 2
(9
)2113
<213> = 3282134877039854878814019195676899277
<37> ×
91403921910292996094060030519972426291085521451904777869899345682975027290828057305767709673906818534726336097672280874573526027190457557009438433080073254715512952353747084509<176> (Warut Roonguthai / GMP-ECM 6.3 B1=1000000, sigma=1434698600 for P37 x P176 /
January 24, 2012 2012 年 1 月 24 日)
3×10213-7 = 2
(9
)2123
<214> = 41 × 8111 × 13248608423
<11> × 1363459054308970043
<19> ×
[499402407986336496549902704776879520789888286726894932753227849004497760800962898262973565656757876826626920019873340399204460968244687532282597114466694406114261120364951783174187<180>]
Free to factor
3×10214-7 = 2
(9
)2133
<215> = 21467 × 16257107 × 995844674781007863169
<21> ×
[86320714990293800010749818046340807763651604552110172894994317936714893773925567686362223239676278929994923373190030160159267304804903896027114964773493364197867727893371286698389113<182>]
Free to factor
3×10215-7 = 2
(9
)2143
<216> = 236215723 × 8021597989
<10> × 24172029941407032416749
<23> ×
[6549956811177379504493563411098892128610069016102969764609229823054273644576303133258597325393112199860064679160260118721576170215024978928696358373424668327507909719545125931<175>]
Free to factor
3×10216-7 = 2
(9
)2153
<217> = 1789 × 468369787 × 468235685123015091319
<21> ×
7646409147693497823720900010289541174715115687455892523436809188347983184687891187288539985299413772207552854172000009650480139185886275766706849693551394620668071927891630512967148929<184>
3×10217-7 = 2
(9
)2163
<218> = 29 × 113 × 223 × 147151 × 33473290350093451584824251859118439513363
<41> ×
[8334476528180445435404264660889521962100082600513253900453235757768392141658209378419263021820580103343742098520650898973160515979443677290611181014944273782678245791<166>] (Dmitry Domanov / GMP-ECM B1=3000000, sigma=350618792 for P41 /
January 31, 2012 2012 年 1 月 31 日)
Free to factor
3×10218-7 = 2
(9
)2173
<219> = 41 × 296415731 × 69616104641
<11> × 21455402599979
<14> ×
16526837721807175967441384794956708531173569746719657717214301128261567531928973048922635410444123260047231816557340265224086659802760223527813205395774869460879220627027132543330248897<185>
3×10219-7 = 2
(9
)2183
<220> = 73 × 139 × 149 × 28701749099324614652788368428060660519
<38> × 441426639483080898840742904280498164833
<39> × 113745001633004253174470445372996446299551901489
<48> × 1376886374731729274464750179379578942804011688188225140564924908333408151197752361104350577
<91> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=2119486916 for P38 /
January 27, 2012 2012 年 1 月 27 日) (Dmitry Domanov / GMP-ECM B1=43000000, sigma=3258675652 for P39 /
March 13, 2012 2012 年 3 月 13 日) (Erik Branger / GGNFS, Msieve gnfs for P48 x P91 /
September 19, 2012 2012 年 9 月 19 日)
3×10220-7 = 2
(9
)2193
<221> = 193 × 1066464089
<10> × 16604002291196068357904972331980013317
<38> × 8073567235996987471144993505887598059768115123573246480239
<58> ×
1087275141025375451556960700529749500179053080567070581249811561874344518120092962164374114419186704875289036119843<115> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=1027007255 for P38 /
January 27, 2012 2012 年 1 月 27 日) (Erik Branger / GGNFS, NFS_Factory, Msieve snfs for P58 x P115 /
December 1, 2018 2018 年 12 月 1 日)
3×10221-7 = 2
(9
)2203
<222> = 23 × 61 × 163 × 173 × 263 × 3530177383
<10> × 24660379901145229377894032265860448289
<38> ×
331190473992209746021357413907924708648088398186690935658134012622838434937036869482396079471853987826679800104756039702063432146623704454073062870420122129908245949<165> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=4053945542 for P38 x P165 /
January 31, 2012 2012 年 1 月 31 日)
3×10222-7 = 2
(9
)2213
<223> = 17 × 1297 ×
136060592317111887160415438341874914962129801805070524740351036328178148668873871830922037280602294888657081953830105673726699623565694589323778856183953920812735271440881672638214885028799492040455349448954601115696857<219>
3×10223-7 = 2
(9
)2223
<224> = 19 × 41 × 16273 × 175649 × 17326129109
<11> × 16579228606711
<14> ×
[46903432303585223533993368870949105520672805427223553853690911702934772407093140428301184256777588289271298043617345413550104083061858574424715417402425758336569687310190461953556254508329<188>]
Free to factor
3×10224-7 = 2
(9
)2233
<225> = 89 × 1129 × 1637 × 45954011195115144437690305175741401
<35> ×
[39688547125860803422629338050241867528730344957795426757011778987213528367608224564259545043972367080182716352551929137259233198870436472173395770976510203725910155629046119012880269<182>] (Dmitry Domanov / GMP-ECM B1=3000000, sigma=785042173 for P35 /
January 27, 2012 2012 年 1 月 27 日)
Free to factor
3×10225-7 = 2
(9
)2243
<226> = 15787 × 303655796118331
<15> ×
625806501176712341747147422155504283629032464489558791357637539472752498438797926829857163156122642446011340662207468456527769308779600863647032726593062205897963103305208396870680665166111671557157822321169<207>
3×10226-7 = 2
(9
)2253
<227> = 43 × 25300889 × 246534229 ×
[111850979660133884014053903234277684495183759381308048526255263809359525236178665974946062150219608558928599158457101177681859852757058589659060760700130749150284653034219210109948216536011150354371368047112471<210>]
Free to factor
3×10227-7 = 2
(9
)2263
<228> = 73 × 2297 × 2447 × 204534298629473
<15> × 312011515408633613
<18> × 1591423009318225351
<19> ×
[7199146782293787557878627437360587912942909941983443983394572273520195280425654821471060601854165078105500561478710497418085781729138914326212796868971564723842897110901<169>]
Free to factor
3×10228-7 = 2
(9
)2273
<229> = 41 × 1065117019
<10> ×
68697364141279459896351264026768096108796959400731096295924526177092009565451484661430724048143983048417587223560932807771772851286415387914040745711784716803691705045575590138342417351545208308302480266449781583267267<218>
3×10229-7 = 2
(9
)2283
<230> = 65423 × 74071 × 121794681863
<12> × 1244731013927
<13> × 6494499243223
<13> ×
6287718429214615879783734186815611797510696570952013143357101241665603313954482710295759639914727953554569929870155995478915100574808693973520060998894936643568737129204340346745288727<184>
3×10230-7 = 2
(9
)2293
<231> = 67 × 4012524873012221
<16> × 925754266077601678423131145817849
<33> ×
1205405010664885266422618638597295738227310639865031095012105197859742854498310930725229058988299889321026189712680131190238473087241773150307106168220149064706202171114267287746951<181> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=2364517864 for P33 x P181 /
January 27, 2012 2012 年 1 月 27 日)
3×10231-7 = 2
(9
)2303
<232> = 101561 × 4593015444705181782255967030052753
<34> ×
6431264636680521122701411234500838562852037556353553846684282922035866974209834208951813181991395555534211062754992938311962269114769075488552495516455963490620689107471993202457889789943878321<193> (Warut Roonguthai / GMP-ECM 6.3 B1=1000000, sigma=2850638255 for P34 x P193 /
January 24, 2012 2012 年 1 月 24 日)
3×10232-7 = 2
(9
)2313
<233> = 83 × 41672280807063874197742935012787460075470052599
<47> × 6313792612099629428038285076830565035628798778734915557377664806295499
<70> ×
1373743273191727061873006501827524212705989811345498992733915152201502086641542037698058205937167726229585487787871<115> (matsui / Msieve 1.52 snfs for P47 x P70 x P115 /
April 12, 2014 2014 年 4 月 12 日)
3×10233-7 = 2
(9
)2323
<234> = 41 × 52628179270046041
<17> × 650480769022243902131512412795301725119
<39> × 7972182533451401935335144380169222572678609
<43> ×
26810650867897583524571427389811788172487997471587593554418248438010498250560953024973563600634727716688499909168667118351843810614743<134> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=1164636875 for P43 /
January 27, 2012 2012 年 1 月 27 日) (Dmitry Domanov / GMP-ECM B1=11000000, sigma=3931956988 for P39 x P134 /
February 1, 2012 2012 年 2 月 1 日)
3×10234-7 = 2
(9
)2333
<235> = 185783893 × 2860919496192206027
<19> ×
[5644267112576188985592388967137531812665020033888980559090334549334713166297922688385943176184991650402512809220970242439056591950861067800213058775906029938578450954011498350523804158174724759119164819804063<208>]
Free to factor
3×10235-7 = 2
(9
)2343
<236> = 73 × 227 ×
1810391648059863617162512823607507090700621567799167219841892462736105244101140546738277714078812383078872729467141391587713475348500392251523746303783718544445114959869651801339689819564299076700259489469555247118459960171383742683<232>
3×10236-7 = 2
(9
)2353
<237> = 1919921994453070691
<19> × 28045545907756312520697910047953
<32> ×
5571521013693889156792937834676386997553152579864737884280218339010073082767048355649205341457182322750175738049498245072040976313645444378983003192647417256022306151204068657311395093891<187> (Serge Batalov / GMP-ECM B1=3000000, sigma=3632593255 for P32 x P187 /
January 24, 2012 2012 年 1 月 24 日)
3×10237-7 = 2
(9
)2363
<238> = 5861 × 236452751 × 197605083621776080059463
<24> ×
[10954865480653114014875027315105727689031826491077652737527835228965912838853887387902549907421742635369717716574602849476835957869779171829747890999605113689514166665559491327463696504827389328049208701<203>]
Free to factor
3×10238-7 = 2
(9
)2373
<239> = 17 × 41 × 176677 × 6597828427
<10> × 17829065178507126274547
<23> ×
[2070994139566605854334726674641366549959728174779705474337047343515426530478337783884363157095381576802760969274772489499192487512391673889365728670179168855198300341734520578027451748683898862022013<199>]
Free to factor
3×10239-7 = 2
(9
)2383
<240> = 1081901412368713634260297157
<28> × 1087834338566305870313819449105543724677
<40> ×
[254900568075334469074379132513091056564374798390858960851877134943908286798911094607931749535730686685658657656026088878252888338822537348537650887726873486538876951843064737<174>] (Dmitry Domanov / GMP-ECM B1=11000000, sigma=2789588278 for P40 /
February 1, 2012 2012 年 2 月 1 日)
Free to factor
3×10240-7 = 2
(9
)2393
<241> =
7856821866862916804039555540313662806917046472164148420345240531124117987328685794039870626713419725499375248833309<115> ×
381833780991377412760166174029188033289030378176211934933834928040857906934570989631774138695471941181805052295602824899732877<126> (NFS@Home + Dmitry Domanov / ggnfs-lasieve4I14e on the NFS@Home grid + msieve for P115 x P126 /
February 9, 2019 2019 年 2 月 9 日)
3×10241-7 = 2
(9
)2403
<242> = 19 × 619 × 164959063 × 1108517857
<10> × 515554889909170182700653131
<27> ×
[27057222922416577022195566912371500732796279565279536037705196987934688016708479216804119857526571105943185223009039528489609101420288946268183266951351667530798618320445924872140100400819018653<194>]
Free to factor
3×10242-7 = 2
(9
)2413
<243> = 503 × 2967131 ×
[201009483967159598494356685203870716614951404486531548140679593620975550845937592265237604838447830145603102500445214230959828735041829835752343217974484074535514671547223392914485239439076790295005893976637778590911765035715267956701<234>]
Free to factor
3×10243-7 = 2
(9
)2423
<244> = 23 × 41 × 73 × 97 × 3249488597
<10> × 334059321997
<12> × 50703343536962500546867779788535271979
<38> ×
[8162811279978986449936185496666462568085060844574156135360054926838434261586662548266181848120955526162930637021030427444698805536798239582979616643804656577458708258389845716461<178>] (Dmitry Domanov / GMP-ECM B1=3000000, sigma=3733424734 for P38 /
January 31, 2012 2012 年 1 月 31 日)
Free to factor
3×10244-7 = 2
(9
)2433
<245> = 59 × 127 × 587 × 3049 × 49559 × 2601413 × 17866427 ×
971181601769620821913101289954809214649701903576746356626297566395649246155667074271400343978995829747207798388292600920003322979970209646566465500633301171295913954358113412777437131143255525823812074332356499205303<216>
3×10245-7 = 2
(9
)2443
<246> = 29 × 1049 × 4796111 × 573759378277
<12> × 264073475062169564201253001
<27> × 141572842634311544394758566797209
<33> × 263793040919382910157206964356217
<33> × 7997849521795649410272834526716328440021703
<43> × 45434677496796700479371157072170966153744120026625416816996294663260383488250739706078321
<89> (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=3631695551 for P33(1415...), B1=1e6, sigma=2049658447 for P33(2637...) /
January 24, 2012 2012 年 1 月 24 日) (Erik Branger / GGNFS, Msieve gnfs for P43 x P89 /
February 13, 2012 2012 年 2 月 13 日)
3×10246-7 = 2
(9
)2453
<247> = 1593968066388457
<16> × 2495173065914197
<16> × 2358160984108031567
<19> ×
[319865584136715785402183782624896018081174359052980731185817284140826598841532554087959113177970119690625750111188683485106024141095558011568741059641490059357258921919282316116951953614442796050851<198>]
Free to factor
3×10247-7 = 2
(9
)2463
<248> = 43 × 64059103 × 244205869 ×
[44598047827344607256979648308707417564232949866651846516000733908425660590356007515952354677789942362990786614868525986817441639633370838644109476788625654135084988723005660531490881913321154058552543573877923575059562833570447593<230>]
Free to factor
3×10248-7 = 2
(9
)2473
<249> = 41 × 151 × 467 × 761 × 4942073959243
<13> × 4468813744772248631980589
<25> ×
[6173869122760316369510568089003408637392864391664520359586458029791558785494838585416516451055979717489159586016695386493503643942512362833836425667061898720701837592854135266416322753511146170365474427<202>]
Free to factor
3×10249-7 = 2
(9
)2483
<250> = 2213399 × 1293780824417
<13> × 1406871452769857
<16> × 677372246383580329
<18> × 228583545321445211954459202013
<30> × 4869178824519285585809006414302711
<34> ×
987684709495362895203165977420899510628196981008649126905529995945945825777765948532338199812268170540997263619113792963969656706885749<135> (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=745518297 for P30 /
January 24, 2012 2012 年 1 月 24 日) (Dmitry Domanov / GMP-ECM B1=3000000, sigma=650034800 for P34 x P135 /
January 27, 2012 2012 年 1 月 27 日)
3×10250-7 = 2
(9
)2493
<251> = 47 ×
[638297872340425531914893617021276595744680851063829787234042553191489361702127659574468085106382978723404255319148936170212765957446808510638297872340425531914893617021276595744680851063829787234042553191489361702127659574468085106382978723404255319<249>]
Free to factor
3×10251-7 = 2
(9
)2503
<252> = 73 × 164630024765241636122730186763
<30> ×
[24962573181629919871815348892044491430159022285817161010394690983057217033779049852203500403197484731472280519905465249372051990376642133382928453692234710350239119183911618147061243828746784634679572681182733777526265907<221>] (Makoto Kamada / GMP-ECM 6.4.4 B1=25e4, sigma=179459057 for P30 /
April 20, 2016 2016 年 4 月 20 日)
Free to factor
3×10252-7 = 2
(9
)2513
<253> = 479 × 2309009013098824767229
<22> ×
[2712439830754963425070673926599560310098125793496629627746876107925116969175977053106052012065805398499460376143002051884749181226088255581349926571853771427080156741527085850927196571684354668129792098962724582496109745594459123<229>]
Free to factor
3×10253-7 = 2
(9
)2523
<254> = 41 × 521 × 577807 × 22861869047528807
<17> × 42537224210403891563825096237536119842035843
<44> ×
[2499401330207163558421677689018065926939037306906791369368886615254445800357098452079921946230029629249705941377824177157487622827491884476618471750061058824495656051952777775922780459<184>] (ebina / GMP-ECM 7.0 B1=3000000, sigma=1:2966097456 for P44 /
December 6, 2022 2022 年 12 月 6 日)
Free to factor
3×10254-7 = 2
(9
)2533
<255> = 17 × 214163 × 2986300439717727073
<19> ×
[27592712336558221441926586631306364196906048680787188184669934011338565787178654770955384456651333490190931832874815682433225827597632385657372555889509260169610516553377929859608203411689300623628903452754495772586497130341824371<230>]
Free to factor
3×10255-7 = 2
(9
)2543
<256> = 165329707 ×
[18145559285361825506652594503176613020913416365033538709410523542511328590209138881495749581168736965099684111821476826303212404531751816387117894063648222639141312940208622035482104858505555810366251964627264475827081699237512106641548696387637099<248>]
Free to factor
3×10256-7 = 2
(9
)2553
<257> = 5934414644550671
<16> × 4144173639082847417
<19> × 375064765917692558944883
<24> × 685746832539959330892330331890410701
<36> ×
[4742805829503361352225969592007215675927407523271880597649008873245187445692592289043549462508334751534358907195260073678578087646714664163856199818499137751002153<163>] (Makoto Kamada / GMP-ECM 6.4.4 B1=25e4, sigma=1304903430 for P36 /
April 20, 2016 2016 年 4 月 20 日)
Free to factor
3×10257-7 = 2
(9
)2563
<258> = 341072496112172449
<18> × 6399383107280295134571998201
<28> × 77584963804370623318377261901492932182167057
<44> ×
1771572306698695658702933802620224539326678781318701773101012513406921552025799101660711322732730578733561106491096881542283514617341478764426097554245913400981570123601<169> (Seth Troisi / GMP-ECM 7.0.6, ecm-db 0.1 B1=10000000000 for P44 x P169 /
January 2, 2024 2024 年 1 月 2 日)
3×10258-7 = 2
(9
)2573
<259> = 41 × 16997430125344645121
<20> ×
4304811443125932009679809515402217287245036904220829924241998896334389418421812081673976701771729867569246702000723201183524826635986174768185330555066175954180105076233401426471573643951887651339467500469164039843109465939722219497970513<238>
3×10259-7 = 2
(9
)2583
<260> = 19 × 73 × 62641543 ×
345288684950941330870549572374378915374721932485981941395723004158922298922767850813761791726694191928210786981077478357513234933623243940691403812154116410699593849480343603944572785172374295820501726205284903507405965868625007654173975324306291773<249>
3×10260-7 = 2
(9
)2593
<261> = 1801 × 818691500009
<12> × 20617308780770940583
<20> ×
[9868594068292854716822732703952814506702565695093373921374878441995267854411480596127165317550726115196097774440791310981362354056497323921312356797269951338641032998222891735446408444049707942901771096176952638953765613560719<226>]
Free to factor
3×10261-7 = 2
(9
)2603
<262> = 32279069833
<11> × 185889792113
<12> × 3231156598147
<13> × 437774497355432165006903245909
<30> × 652697125402544228798613477479
<30> ×
541532513751740781223726662108865538794306502605973337320973741157570617287454082509698315875863216537221886336736138693400021964352499345827545065239222569500422623401<168> (Makoto Kamada / GMP-ECM 6.4.4 B1=25e4, sigma=752880454 for P30(6526...), B1=25e4, sigma=1657512798 for P30(4377...) x P168 /
April 21, 2016 2016 年 4 月 21 日)
3×10262-7 = 2
(9
)2613
<263> = 10357 × 271451 × 1639351318515719385825953
<25> ×
6509142783529189459514808682899372361954664626442505722831842541844105857542571740327875674510084834781267476326674097500517377179606163858761239725816520162184952550874719130054524987035764144927811409520565278657332747940778383<229>
3×10263-7 = 2
(9
)2623
<264> = 41 × 67 × 26647 × 78856991 × 48833792618891062593114207311282852891
<38> ×
[1064274404037959619013173396111196116704299207275905921129317700721483502101424234388342538014119122398884671765665464807986970333541993653089250643026957466087617546271795087124218746110402219933378601512492217<211>] (Ignacio Santos / GMP-ECM B1=3000000 for P38 /
April 7, 2024 2024 年 4 月 7 日)
Free to factor
3×10264-7 = 2
(9
)2633
<265> = 173 × 237256883 ×
[73089725546245778103473964938937446190039096712334563725911237205238169239365677340076044960957462622724616165693834205173092023708922452894349731740932820031457564984653792885342956489799988116629009689714171550041704840253777916557419321925133088080527<254>]
Free to factor
3×10265-7 = 2
(9
)2643
<266> = 23 × 139 × 35593 × 3263340349609
<13> ×
80788892203734098032541706347507965511057481824069228933015844861474678208065811100174082636299313260103712197159938805586306826444166338038289409656786167890917979008710063084210029500351517580952282744198088674889368328920527841361478549776637<245>
3×10266-7 = 2
(9
)2653
<267> = 976621 × 11169441832369
<14> × 376841554045163542666958351299
<30> × 1335133210268668848600976552768901
<34> × 11004854290195043491203256077427691
<35> × 3967118322181098507540262098513076986918764993
<46> ×
1252047744194490588840009127361144230190653963298422170780485451132702762429158376026922725901263263689961<106> (Makoto Kamada / GMP-ECM 6.4.4 B1=25e4, sigma=1048998736 for P30, B1=1e6, sigma=3297475260 for P34, B1=1e6, sigma=1568225149 for P35 /
April 21, 2016 2016 年 4 月 21 日) (Dmitry Domanov / GMP-ECM B1=11000000, sigma=1862894295 for P46 x P106 /
April 28, 2016 2016 年 4 月 28 日)
3×10267-7 = 2
(9
)2663
<268> = 73 × 3947 × 27185172613
<11> × 45051243445755512111
<20> × 96350832676846977239459005883639
<32> ×
[88234193163396850313093811997203354425684437318773518077854415657632246014337803442703771455879024917463550979763817698113963387887125874852298177850276124355224910365546011915987566062752076265737039<200>] (Makoto Kamada / GMP-ECM 6.4.4 B1=1e6, sigma=1822697706 for P32 /
April 21, 2016 2016 年 4 月 21 日)
Free to factor
3×10268-7 = 2
(9
)2673
<269> = 41 × 43 × 89 × 6301 × 251713494595411
<15> × 1810404229864466825089380417912891018202739
<43> ×
[66586686106217944322354497042581969997235205207599402582888286099741962773317359804497155921348377643481474520185551292356610629396334642973395266871945588761653874637573294420619662246195925794533747631<203>] (Ignacio Santos / GMP-ECM B1=3000000 for P43 /
April 7, 2024 2024 年 4 月 7 日)
Free to factor
3×10269-7 = 2
(9
)2683
<270> = 8929 × 21474366372390839572842678634482697
<35> ×
1564581077493744088159623570922168976237618450341363532296746801699840371020713607533580439489620479672739874325096760665394297025041178927519111695102660667712970356222028920282019709115750160272239942649999243831416488289383042961<232> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=1631517759 for P35 x P232 /
May 11, 2016 2016 年 5 月 11 日)
3×10270-7 = 2
(9
)2693
<271> = 17 ×
[176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529<270>]
Free to factor
3×10271-7 = 2
(9
)2703
<272> = 2436294367633281626084249
<25> × 981684685658319614347794958737335273
<36> ×
12543521470064076691039343649887719644067505931387638081537530198663631370049047664921461085534697493285367080889068674542617211389909006315363696712656456171290419129493775181953981481463408705339286230698727609<212> (Makoto Kamada / GMP-ECM 6.4.4 B1=1e6, sigma=2555137016 for P36 x P212 /
April 22, 2016 2016 年 4 月 22 日)
3×10272-7 = 2
(9
)2713
<273> = 224699 × 421847 × 443015159 × 926608091 ×
[7709930709628279350816471110729951958609520129000619580826978719555463173888311739319603928329068183092512570736286248745275752675014165240347487841085500368248628456435885268752107240918295388770366497786927428693424550668308339193099388988049<244>]
Free to factor
3×10273-7 = 2
(9
)2723
<274> = 29 × 41 × 83 × 3075817 × 310017606783458183822754997712063
<33> ×
[31879716850663381944183869071085896287635612366573265857798799861579604765758883449962421953986781080615531245055237742062072614856290913251580344537757009239021208699084864946782679606472894340515034534076844596438094533930035409<230>] (Makoto Kamada / GMP-ECM 6.4.4 B1=1e6, sigma=1363520405 for P33 /
April 22, 2016 2016 年 4 月 22 日)
Free to factor
3×10274-7 = 2
(9
)2733
<275> = 297237313 × 1236871552841994832590913476518783
<34> ×
[81600595264211185956556806634672356932282117533756619231786365500302534077620290947560113879829056644930758752297788396087492113752852483786511158637591824125046725157820414504472984072600914563072545153667998662149484203664130599367<233>] (Makoto Kamada / GMP-ECM 6.4.4 B1=1e6, sigma=31045889 for P34 /
April 22, 2016 2016 年 4 月 22 日)
Free to factor
3×10275-7 = 2
(9
)2743
<276> = 73 ×
[4109589041095890410958904109589041095890410958904109589041095890410958904109589041095890410958904109589041095890410958904109589041095890410958904109589041095890410958904109589041095890410958904109589041095890410958904109589041095890410958904109589041095890410958904109589041<274>]
Free to factor
3×10276-7 = 2
(9
)2753
<277> = 109 × 4999 × 30097 × 233327 × 3253021 ×
[241010824095336472527744513000796145790921523472722369706457493130363598102352755601820220778583011900066336749473435901264776355966665021864870782829510818520554299526239573299891227219224737091456466011047477996264488185999567563876831195814918772783177<255>]
Free to factor
3×10277-7 = 2
(9
)2763
<278> = 19 × 123791 × 13541576011
<11> × 35428036379
<11> × 230120255546290857280019
<24> ×
[115533369894753724933240381727197060432230415753558083260198349924662022213016443610798752312466943163021620624918366404111630806567954563001630908086235960422394931507430794892998460503542621884756856997859547620181816884880647<228>]
Free to factor
3×10278-7 = 2
(9
)2773
<279> = 41 × 51131 × 461119 ×
[310341670935520582083176755980706492130077874865786301322918414201445437522718373035688087435011156687055591338658080784210671043894499409424165165306040392701633249788414113273613675718655866814364622145075724345693147002316564123542256452013119425850493553322926557<267>]
Free to factor
3×10279-7 = 2
(9
)2783
<280> = 821 × 43067 × 91897056073177125395417701
<26> ×
923276705407753118422743097387883454817917702510091259172329141237283582173299911101816957903903434596993626777442961421197126775732624542536552572850068411222133744721597907853469847554535262993871654651829437161334480025343652282809635307521699<246>
3×10280-7 = 2
(9
)2793
<281> = 31360868873
<11> × 6816494935615276834213
<22> ×
140336955865902692306616325103233216894970642997605565431366695462884932751014790240495439027840571540177562299300863868514312351904676984150406971594138660312145447915196772698279627468378481265103461165715222101558581852023265892223552393954056157<249>
3×10281-7 = 2
(9
)2803
<282> = 61 × 143419 × 35263889 × 270185225753
<12> × 216661481185057
<15> × 8745389356589343799927
<22> ×
[1899468383429974571274582159407668249719239498401771849438363827890313017703442578985675621055161979482593217947178795150546172287298810059137732498409497539971401526324400295093126193533306616492511928626705822734388729<220>]
Free to factor
3×10282-7 = 2
(9
)2813
<283> = 360948319 × 2696869808964507494093807
<25> ×
[3081883727204805700422383629595968090809728530224438295568252028726197008181887525702335742765820650297941965098258612296716432348820498018775570630135997370070791746472619856563395827795497410701595366848295940868862758615728538460459251680812997321<250>]
Free to factor
3×10283-7 = 2
(9
)2823
<284> = 41
2 × 73 ×
[244472875734437264185538614490722254365878105824158809580077090446814925883973173176436074417543373562703218077954250975854228973295412873941636175466332010463439081433914907141052700202912486859582929273997050027299471123678827834051811951463985070856388483697733736441941766561<279>]
Free to factor
3×10284-7 = 2
(9
)2833
<285> = 167 × 2099 × 6904144068780579773
<19> × 276497676187687965663333164759381039260993
<42> ×
448322994193235574531733091234625637155003499830941689302710527193148089888650156360178109495754120143177573772434211932317641018702950589911721842031001268039076574670946913974690780729924470036385483794206205004386889<219> (Makoto Kamada / GMP-ECM 6.4.4 B1=1e6, sigma=1407672742 for P42 x P219 /
April 23, 2016 2016 年 4 月 23 日)
3×10285-7 = 2
(9
)2843
<286> = 661 ×
[4538577912254160363086232980332829046898638426626323751891074130105900151285930408472012102874432677760968229954614220877458396369137670196671709531013615733736762481089258698940998487140695915279878971255673222390317700453857791225416036308623298033282904689863842662632375189107413<283>]
Free to factor
3×10286-7 = 2
(9
)2853
<287> = 17
2 × 127 × 124055701587509
<15> × 3685826327586338538838017187580821
<34> ×
[1787590730455598784035327805352714239474370752227889227819952680628535311944743577149301329057588193984320383948008000848433698035096472744400033077383596895158882295147381062766601770623003330435071148999990586888544450895704980010879<235>] (Makoto Kamada / GMP-ECM 6.4.4 B1=25e4, sigma=2605470592 for P34 /
April 23, 2016 2016 年 4 月 23 日)
Free to factor
3×10287-7 = 2
(9
)2863
<288> = 23 × 122819 × 260137700003
<12> ×
[408248469781485622796785168226570399307268161459585090985832619482599973671295687644154250777159453889323499136741022032897907665388761666425122746019050408420023286060016800291834130592317300890555594459062850236828451472694794664669793036915654083198133425713836027863<270>]
Free to factor
3×10288-7 = 2
(9
)2873
<289> = 41 × 739 × 942917 × 25621303 × 1134402408569
<13> × 8608257213925292367048616771
<28> ×
[419697039932042876982893750556753040316960525323238627453655563271982023882926955112450202911578738424416583118731370828881301271563143071675707874914640521538604321702969159499321991028797584541304038655536866552248028564535326443<231>]
Free to factor
3×10289-7 = 2
(9
)2883
<290> = 43 × 178594909 ×
[3906463081792836338860575664105882498379562978888824902904498754203986960259047265399360708644862050142709822005164798125140233967556256626840145766404093963309173403093464855812909264747242586150194262542852163258888967572144863270977530600296401297702711528124268375213263764839<280>]
Free to factor
3×10290-7 = 2
(9
)2893
<291> = 679501 ×
441500454009633539906490203840759616247805374826527113278714821611741557407568200782633138141077055074238301341719879735276327775823729472068473777080534097815897254014342878082592961599762178422106810733170370610197777486714515504760110728313865616091808547743123262511754949588006493<285>
3×10291-7 = 2
(9
)2903
<292> = 73 × 7247 × 10979658574658692861810657
<26> × 2716339301281868834001344249
<28> ×
[190137281645685173638220620560246709224516924844885074693777958944060373439987530450995298980090464831723497976771522304229068965902302730692302482089100700815653066720101568062318583871535668917926839390752226543108637823510739899671<234>]
Free to factor
3×10292-7 = 2
(9
)2913
<293> = 4493 × 11965584711350604847
<20> × 1120566066952019321773874194219
<31> ×
[497981768722057340755442504605620074517908807223943266560729470240059984642825985746591797749503339841991351263451448679977987540734972795492754731440385789667999033110199734358890455848094792575992069089070387610416068830410622816319376857<240>] (Makoto Kamada / GMP-ECM 6.4.4 B1=25e4, sigma=3639454421 for P31 /
April 24, 2016 2016 年 4 月 24 日)
Free to factor
3×10293-7 = 2
(9
)2923
<294> = 41 × 1999 × 7193 × 87539 × 51743203214331557491601
<23> × 1739193938984621157006851
<25> × 1334124102827905764288733313084089
<34> ×
[48418954564512841981879652718491032438323713252712513740432250016635443219860829945063665492987409085795721194139520252500064380687223587607840175750825435279458976423467229053833865810067475291041559<200>] (Makoto Kamada / GMP-ECM 6.4.4 B1=1e6, sigma=3679921684 for P34 /
April 24, 2016 2016 年 4 月 24 日)
Free to factor
3×10294-7 = 2
(9
)2933
<295> = 293 × 8609 × 12583 ×
[94518480226174277009842033951158387760968146398466454217968057981248645123466803401527827546304130791636247247257999047634376746194166945736601590389416583083756685053565382835805574523472532248530352165251404059177123048144127386493314676655244978636495321185842346375819568005264083<284>]
Free to factor
3×10295-7 = 2
(9
)2943
<296> = 19 × 4639291 × 6160999979
<10> × 46130083942572044799431
<23> ×
[1197513965863387498317856681138090921872010481632308833551669587311606122821947271418680443356759567338570644562576084023255731466021740196443304122547816811206704328185264763206593650228987503904345651358840996087223477654105954656749535680588099230058333<256>]
Free to factor
3×10296-7 = 2
(9
)2953
<297> = 47 × 67 × 25541 × 7008619 × 15102509458463972819903
<23> ×
[35239450601108066654671771653301477065657297387163950621616535421169822441604122036148327705661623005075395444164530208895742501557526048458397640779457589437846133283794876788560435762226271653289458796375854365859811528906415239713012331128639015115699595861<260>]
Free to factor
3×10297-7 = 2
(9
)2963
<298> = 301127 × 14979061 × 8979932874083465861817488938457
<31> ×
[74065145029726721008275828002969482708775153501556167478626039263496859384875325905142710326854151427783038685948758781994403985922699432484729128526823352983650690468677558769112158034707344486613711396742479386059211890990733449904913037342857419405467<254>] (Makoto Kamada / GMP-ECM 6.4.4 B1=1e6, sigma=464049648 for P31 /
April 25, 2016 2016 年 4 月 25 日)
Free to factor
3×10298-7 = 2
(9
)2973
<299> = 41 × 1117633926439
<13> × 7608554627540027489
<19> × 59392764033480623242261
<23> ×
[1448778930042566109150558078840250383255331209014364135494860595088817158260261915792122379930536108049205917080495693553843228542884325866018096514609509860483659556376177518080010081679859944717942838729736389326575042686258264675044948766283<244>]
Free to factor
3×10299-7 = 2
(9
)2983
<300> = 73 × 1077059 × 42121378031
<11> × 1866038703793170461607810238733801
<34> ×
[48544013764172814178554887757948160373555645215749718041248527424097014145898817943421775782422553378354842005803624358556170412116621777751715022258097324867353337743425074571006358250032970761251616602130524579116046480601121040907687481783774829<248>] (Marlon Trifunovic / GMP-ECM 7.0.5-dev B1=3000000, sigma=1:1578036372 for P34 /
February 28, 2022 2022 年 2 月 28 日)
Free to factor
3×10300-7 = 2
(9
)2993
<301> = 177949 × 993557 × 15688181 × 153526095781
<12> × 1488285863180865923
<19> × 12791252491718015177647420555898011597
<38> × 307744160284198424654378950697738104493481149
<45> × 1597621547281792917760310690097577916679674965310262150733478040883
<67> ×
752687944629789309063072457711876585672074671367371457110292345250244000617720672604166122523873869564033<105> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=969462061 for P38 /
April 26, 2016 2016 年 4 月 26 日) (Dmitry Domanov / GMP-ECM B1=11000000, sigma=3094346061 for P45 /
April 28, 2016 2016 年 4 月 28 日) (Jason Parker-Burlingham / CADO-NFS-3.0.0-dev for P67 x P105 /
May 18, 2019 2019 年 5 月 18 日)