9w79w = { 7, 979, 99799, 9997999, 999979999, 99999799999, 9999997999999, 999999979999999, 99999999799999999, 9999999997999999999, … }
1013-2×106-1 = 9999997999999
<13> = 7 × 1399 × 1021137343
<10>
1015-2×107-1 = 999999979999999
<15> = 11 × 90909089090909
<14>
1017-2×108-1 = 99999999799999999
<17> = 7 × 79 × 263 × 479951 × 1432591
1019-2×109-1 = 9999999997999999999
<19> = 11 × 43 × 113 × 1964063 × 95258777
1021-2×1010-1 = 999999999979999999999
<21> = 131 × 7633587786106870229
<19>
1023-2×1011-1 = 99999999999799999999999
<23> = 11 × 9090909090890909090909
<22>
1025-2×1012-1 = 9999999999997999999999999
<25> = 7 × 19 × 1231 × 2120101 × 28809369597913
<14>
1027-2×1013-1 = 999999999999979999999999999
<27> = 11 × 244313 × 71099009 × 5233559799077
<13>
1029-2×1014-1 = 99999999999999799999999999999
<29> = 7 × 19 × 397326467 × 979610491 × 1931734499
<10>
1031-2×1015-1 = 9999999999999997999999999999999
<31> = 11 × 53 × 22741 × 754261407242101091695333
<24>
1033-2×1016-1 = 999999999999999979999999999999999
<33> = 97 × 2351 × 13092617739319
<14> × 334926220377143
<15>
1035-2×1017-1 = 99999999999999999799999999999999999
<35> = 11 × 628145336279
<12> × 14472620531996164916971
<23>
1037-2×1018-1 = 9999999999999999997999999999999999999
<37> = 7 × 1428571428571428571142857142857142857
<37>
1039-2×1019-1 = 999999999999999999979999999999999999999
<39> = 11 × 257 × 2293 × 5199660705602609
<16> × 29668468698309401
<17>
1041-2×1020-1 = 99999999999999999999799999999999999999999
<41> = 7 × 89 × 79575060225257
<14> × 2017135057206834451144009
<25>
1043-2×1021-1 = 9999999999999999999997999999999999999999999
<43> = 11 × 79 × 3017557 × 3813508696574825813422844578943303
<34>
1045-2×1022-1 = 999999999999999999999979999999999999999999999
<45> = 2341 × 101279239 × 4217723999443276138877577121948501
<34>
1047-2×1023-1 = 99999999999999999999999799999999999999999999999
<47> = 11 × 607 × 196975547 × 76033732155232045642149775584237721
<35>
1049-2×1024-1 = 9999999999999999999999997999999999999999999999999
<49> = 7 × 61723 × 116827 × 31611379 × 380138027413
<12> × 16486442432361157471
<20>
1051-2×1025-1 = 999999999999999999999999979999999999999999999999999
<51> = 11 × 2693 × 19916209 × 3542998395720131
<16> × 478402379002749872572547
<24>
1053-2×1026-1 = 99999999999999999999999999799999999999999999999999999
<53> = 7 × 83 × 67579 × 160864547 × 15977267245776461
<17> × 990944352105574066703
<21>
1055-2×1027-1 = 9999999999999999999999999997999999999999999999999999999
<55> = 11 × 10067 × 531701 × 169839917075523257222772638155455420307261427
<45>
1057-2×1028-1 = 999999999999999999999999999979999999999999999999999999999
<57> = 53 × 18867924528301886792452830188301886792452830188679245283
<56>
1059-2×1029-1 = 99999999999999999999999999999799999999999999999999999999999
<59> = 11 × 10635689 × 181232045781500722951
<21> × 4716357230667148455924536134531
<31>
1061-2×1030-1 = 9999999999999999999999999999997999999999999999999999999999999
<61> = 7
2 × 19 × 43 × 107 × 74131 × 2621433476195267556019
<22> × 12013218769583770482255302261
<29>
1063-2×1031-1 = 999999999999999999999999999999979999999999999999999999999999999
<63> = 11 × 97 × 937207122774133083411433926897825679475164011246485473289597
<60>
1065-2×1032-1 = 99999999999999999999999999999999799999999999999999999999999999999
<65> = 7
3 × 19 × 303421182901
<12> × 163661526369353426464507
<24> × 309000928642486250929693621
<27>
1067-2×1033-1 = 9999999999999999999999999999999997999999999999999999999999999999999
<67> = 11 × 3115910670077980613
<19> × 39223777474717178899
<20> × 7438286465774208854116491907
<28>
1069-2×1034-1 = 999999999999999999999999999999999979999999999999999999999999999999999
<69> = 79 × 1213 × 48272323835503423
<17> × 216179198102369011327474682685721242069083051419
<48>
1071-2×1035-1 = 99999999999999999999999999999999999799999999999999999999999999999999999
<71> = 11 × 169493 × 235621 × 2445285590671019
<16> × 93091915063096912678712257452512911231061087
<44>
1073-2×1036-1 = 9999999999999999999999999999999999997999999999999999999999999999999999999
<73> = 7 × 49716675952181112605547917
<26> × 28734250655564110277423868074254964444125659821
<47>
1075-2×1037-1 = 999999999999999999999999999999999999979999999999999999999999999999999999999
<75> = 11 × 7483078511
<10> × 8582794076349347
<16> × 1415462344299970427580495768422081967733800382577
<49>
1077-2×1038-1 = 99999999999999999999999999999999999999799999999999999999999999999999999999999
<77> = 7 × 389 × 1147651617419
<13> × 31999433182705200640712524120939158024514702565895136278912127
<62>
1079-2×1039-1 = 9999999999999999999999999999999999999997999999999999999999999999999999999999999
<79> = 11 × 186286741562876719
<18> × 4883993859409904022599
<22> × 999195016449737971988769434688419678389
<39>
1081-2×1040-1 = 999999999999999999999999999999999999999979999999999999999999999999999999999999999
<81> = 26833 × 37267543696194983788618492155182051950955167144933477434502291953937315991503
<77>
1083-2×1041-1 = 99999999999999999999999999999999999999999799999999999999999999999999999999999999999
<83> = 11 × 53 × 81883 × 180539 × 2205034471069
<13> × 136568927285174205111464729
<27> × 38530033407023241269583350542669
<32>
1085-2×1042-1 = 9999999999999999999999999999999999999999997999999999999999999999999999999999999999999
<85> = 7 × 157 × 32617434891596421268895749
<26> × 278966788895091381659828490609018716625386771382153630649
<57>
1087-2×1043-1 = 999999999999999999999999999999999999999999979999999999999999999999999999999999999999999
<87> = 11 × 30919979 × 80767507 × 36402519783254101487499187845411885753141802515731412116409903952105453
<71>
1089-2×1044-1 = 99999999999999999999999999999999999999999999799999999999999999999999999999999999999999999
<89> = 7 × 57193 × 240283 × 12929507 × 80399633893530037974623259630334093745339127305161067703074396415906929
<71>
1091-2×1045-1 = 9999999999999999999999999999999999999999999997999999999999999999999999999999999999999999999
<91> = 11 × 89 × 307 × 1209433635749
<13> × 9572217953245682266391
<22> × 2873983770914752571151494095448291915286933493839037
<52>
1093-2×1046-1 = 999999999999999999999999999999999999999999999979999999999999999999999999999999999999999999999
<93> = 113 × 653 × 148262919821
<12> × 91406236209898414784287489179251968060729020422868130152556423159275526947671
<77>
1095-2×1047-1 = 99999999999999999999999999999999999999999999999799999999999999999999999999999999999999999999999
<95> = 11 × 79 × 78850921096160777
<17> × 79110283156596495399801359118203
<32> × 18447627204558399538203199780692362658523841
<44>
1097-2×1048-1 = 9999999999999999999999999999999999999999999999997999999999999999999999999999999999999999999999999
<97> = 7 × 19 × 313 × 9743 × 288997 × 8949419 × 29608763 × 321960711939272821596015740909796587268811277967651029086116741275513
<69>
1099-2×1049-1 = 999999999999999999999999999999999999999999999999979999999999999999999999999999999999999999999999999
<99> = 11 × 2211919 × 2734211 × 1546931800215780517834021
<25> × 9717060398409069873712230059336265687747922477148425836148381
<61>
10101-2×1050-1 =
(9
)507
(9
)50<101> = 7 × 19 × 6151 × 90073 × 446055228834029907440715213577
<30> × 3042421416697031040911352190413335620934496497566066939291093
<61>
10103-2×1051-1 =
(9
)517
(9
)51<103> = 11 × 43 × 433 × 39805279121
<11> × 104511043708403
<15> × 2520136347599369
<16> × 72209000768572803604109
<23> × 64495992603819978310965366915948857
<35>
10105-2×1052-1 =
(9
)527
(9
)52<105> = 1863079667124649535843265309290442882620142287
<46> × 536745699953524798805570660299784549337566683355200355789777
<60> (Makoto Kamada / GGNFS-0.72.7 / 0.62 hours)
10107-2×1053-1 =
(9
)537
(9
)53<107> = 11 × 1231 × 291344230262719112021
<21> × 6447518571930157509519707
<25> × 3931427202384724310895923362701144323342177102997781304837
<58>
10109-2×1054-1 =
(9
)547
(9
)54<109> = 7 × 53 × 131 × 267569 × 404338078154841536371
<21> × 1901841661052587769632596084523395998914488203091972701458954362219543104513501
<79>
10111-2×1055-1 =
(9
)557
(9
)55<111> = 11 × 227 ×
400480576692030436523828594313175810973167801361633960744893872647176611934321185422507008410092110532639167<108>
10113-2×1056-1 =
(9
)567
(9
)56<113> = 7 × 2145408709
<10> × 426875033556510001
<18> × 1454395592450963321
<19> × 10725279429216543299262326977194791907015998624833800305630291792813
<68>
10115-2×1057-1 =
(9
)577
(9
)57<115> = 11 × 1358797333889942281358846059
<28> × 1112908627391431786400307420053803591
<37> × 601164213411373474442564513491518505316203770786161
<51> (Makoto Kamada / msieve 0.88 for P37 x P51 /
May 14, 2005 2005 年 5 月 14 日)
10117-2×1058-1 =
(9
)587
(9
)58<117> = 2243 × 1231423 × 9038605741961777510197
<22> × 1210666670797158277867670099763948435443
<40> × 33085479697070598617439471766081213044857813221
<47> (Makoto Kamada / msieve 0.88 / 1.1 hours)
10119-2×1059-1 =
(9
)597
(9
)59<119> = 11 × 317 × 4463 × 3167237723290723022627763701000062201290487
<43> × 2028805924177070278738189526016446215925057127787218042322616836553417
<70> (Kenichiro Yamaguchi / GGNFS-0.77.0 / 3.34 hours on Pentium 4 2.4BGHz /
June 1, 2005 2005 年 6 月 1 日)
10121-2×1060-1 =
(9
)607
(9
)60<121> = 7 × 79 × 55843 × 847537822828545129739
<21> × 109571578298887190277624203489639735475924721
<45> × 3486977310257406995437536241850930394553144208599
<49> (Kenichiro Yamaguchi / msieve.exe 0.88 for P45 x P49 / 06:27:16 on Pentium 4 2.4BGHz /
May 25, 2005 2005 年 5 月 25 日)
10123-2×1061-1 =
(9
)617
(9
)61<123> = 11 × 586819 × 68326809933615200155550743
<26> × 81621426753868787364476347607262473
<35> × 27778437982184395248642414400527508129182616184176574449
<56> (Kenichiro Yamaguchi / msieve.exe 0.88 for P35 x P56 / 08:08:12 on Pentium III 866MHz /
May 22, 2005 2005 年 5 月 22 日)
10125-2×1062-1 =
(9
)627
(9
)62<125> = 7 × 5221343 × 9955173566814934899191711689
<28> × 274834279196493912984344687915946198771497911368153612161553647269102139792563972019071391
<90>
10127-2×1063-1 =
(9
)637
(9
)63<127> = 11 × 1721 × 3701 × 747123618743846530729537
<24> × 191035858095460476954927547272141669168030253821754813700957582267146730671537510305564520516817
<96>
10129-2×1064-1 =
(9
)647
(9
)64<129> = 89 × 34483629199335949314967
<23> × 34090512215571938963550265483
<29> × 9557922400736079804251742037292005442316355363395076627523233150617445543331
<76>
10131-2×1065-1 =
(9
)657
(9
)65<131> = 11 × 1433 × 20912212709
<11> ×
303361970573830083860107133357593600474017535398978690625964696023634300628891244471725928802192126708444859046957697<117>
10133-2×1066-1 =
(9
)667
(9
)66<133> = 7 × 19 × 1213 × 44816507 × 394567953887
<12> × 12208820704529
<14> × 62269105148808013
<17> × 4610854346170834525159966318676839335270099363749349904563199080952834400988767
<79>
10135-2×1067-1 =
(9
)677
(9
)67<135> = 11 × 53 × 83 × 431 × 510449 × 5962477 × 55432178381089703
<17> × 284207191299760316626932476560171394759296296682881220092257023179649455295217086798686009574870519
<99>
10137-2×1068-1 =
(9
)687
(9
)68<137> = 7 × 19 × 506600706529
<12> × 38441493794379124235296597148224755847178273731
<47> × 38608445186394108523037268509940384027364224838065637538612437090089075939697
<77> (Sinkiti Sibata / GGNFS-0.77.1 / 35.10 hours /
July 8, 2005 2005 年 7 月 8 日)
10139-2×1069-1 =
(9
)697
(9
)69<139> = 11 × 5407255003
<10> × 216663342583
<12> × 100329276245299
<15> × 254029515331736633
<18> × 155429258217714295487
<21> × 195884643903434483143511972868768681166798008199199807277122508029
<66>
10141-2×1070-1 =
(9
)707
(9
)70<141> = 151 × 29952681391
<11> × 26707653448326308357669563
<26> × 776542093594587270889336430100377
<33> × 10660721824502037370806767990901105962219062345005297373975234579520189
<71> (Makoto Kamada / GMP-ECM 6.0 B1=3000000, sigma=1326514849 for P26 /
May 24, 2005 2005 年 5 月 24 日) (Sinkiti Sibata / GGNFS-0.77.1 / 46.66 hours /
June 5, 2005 2005 年 6 月 5 日)
10143-2×1071-1 =
(9
)717
(9
)71<143> = 11 × 3420316723
<10> × 2689592284789
<13> × 388813191244537
<15> × 35851493023476203089118525408940305117995409
<44> × 70893481324272999965729006376984212264740636943886258399324859
<62> (Sinkiti Sibata / GGNFS-0.77.1 / 134.64 hours /
June 13, 2005 2005 年 6 月 13 日)
10145-2×1072-1 =
(9
)727
(9
)72<145> = 7
2 × 43 × 333494405578599951508082591758373
<33> ×
14231376601563902084598105879773330680524057902968345305670008783724452852536115763742510732038567091916804809<110> (Sinkiti Sibata / GGNFS-0.77.1 / 133.37 hours /
June 20, 2005 2005 年 6 月 20 日)
10147-2×1073-1 =
(9
)737
(9
)73<147> = 11 × 79 × 5413 × 624835533695896517
<18> × 364226024782606601290393
<24> × 469193742913951833708341512136612121140630107
<45> × 1990917625212558203593236322683252097549924778395642201
<55> (Sinkiti Sibata / GGNFS-0.77.1 gnfs / 21.34 hours for P45 x P55 /
June 21, 2005 2005 年 6 月 21 日)
10149-2×1074-1 =
(9
)747
(9
)74<149> = 7
2 × 157 × 6329 × 358681 ×
5726124678960330499291239625019835477914264473149751013405462339944790060670613258991663387939877232440108045472104358747063258106944907<136>
10151-2×1075-1 =
(9
)757
(9
)75<151> = 11 × 26293 × 58045103092320579472867801802574971275755973
<44> ×
595664319591700023546971601179237285279082212336048740598250401382315669912840159022722808886547371381<102> (Sinkiti Sibata / GGNFS-0.77.1 / 121.32 hours /
July 26, 2005 2005 年 7 月 26 日)
10153-2×1076-1 =
(9
)767
(9
)76<153> = 1177697 × 117778715947108513307862999394975958977559
<42> ×
7209408197454908180146876530385649406687593752385911757865345944000656307871718704734472764693568967704313<106> (Dmitry Domanov / Msieve 1.40 snfs /
February 17, 2011 2011 年 2 月 17 日)
10155-2×1077-1 =
(9
)777
(9
)77<155> = 11 × 607 × 50435569329701827
<17> × 82753806265775191
<17> ×
3588341086830393298495474535513524322087640226477521226818132563981759269773349066369811315000812331605383141706981991<118>
10157-2×1078-1 =
(9
)787
(9
)78<157> = 7 × 44711 × 59572452390548608948618743981883
<32> ×
536342358941429025826194365552194371932693748615996616568877853043839629885023209015363819524381508602468863426614918589<120> (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=3440631564 for P32 /
February 15, 2011 2011 年 2 月 15 日)
10159-2×1079-1 =
(9
)797
(9
)79<159> = 11 × 5435603 × 2855502781163
<13> ×
5857023920070166780632978143317375594535670364307399251387965283291985348970377704555978998275492859842554754830714385414953747769928873581<139>
10161-2×1080-1 =
(9
)807
(9
)80<161> = 7 × 53 × 110623 × 632669 × 8208061 × 9766514186848495755274691173759
<31> × 303614863679694713149714707958539283742764702292621047
<54> × 158234403342280507130320770556678492897117943779071714379
<57> (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=1995563998 for P31 /
February 15, 2011 2011 年 2 月 15 日) (Dmitry Domanov / Msieve 1.40 gnfs for P54 x P57 /
February 17, 2011 2011 年 2 月 17 日)
10163-2×1081-1 =
(9
)817
(9
)81<163> = 11 × 359 × 743 × 38231707 × 1850355846215891345147701
<25> ×
48177593919113706593199460665037284496466923916784316708985952020204178598271151003986788368613977470478669658879288844815451<125>
10165-2×1082-1 =
(9
)827
(9
)82<165> = 1901 × 81574153 × 2036322763
<10> × 15292536881287140183895184392070210581
<38> × 212997503031356046023302186923513439858151279
<45> × 972220211010917021520617739931421062363557962962190839100584459
<63> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=1784389907 for P38 /
February 17, 2011 2011 年 2 月 17 日) (Jo Yeong Uk / GGNFS/Msieve v1.39 gnfs for P45 x P63 /
February 18, 2011 2011 年 2 月 18 日)
10167-2×1083-1 =
(9
)837
(9
)83<167> = 11 × 107 × 6091 × 6729659 × 7824602167
<10> × 21817696860156090160469
<23> ×
12141454320364799962846831683567017097870095800845580629686237774329647914636007204724921194623347999617658621704328835701<122>
10169-2×1084-1 =
(9
)847
(9
)84<169> = 7 × 19 × 2069 × 167413 × 56772035076838982227
<20> × 12514422348772894639585541
<26> × 91612751914706790379998257
<26> × 3649177596847379734977988783841055714454241
<43> × 913908023718714352424488058229420366056826661
<45> (Ignacio Santos /
February 16, 2011 2011 年 2 月 16 日)
10171-2×1085-1 =
(9
)857
(9
)85<171> = 11 × 6740807 × 46688940534481078397
<20> ×
288856006699810152381881791589000384487909126991066560635655335873992659867722153907518008438499447396914234646041290812347078079171324061762071<144>
10173-2×1086-1 =
(9
)867
(9
)86<173> = 7 × 19 × 79 × 97405124048753
<14> × 630250094202455942269628971837983541154554537568686746977436959
<63> × 155033854491042976632178176491000808315073176848001309291137210497076713555298384657286989491
<93> (Erik Branger / GGNFS, Msieve snfs /
May 16, 2011 2011 年 5 月 16 日)
10175-2×1087-1 =
(9
)877
(9
)87<175> = 11 × 254281 × 66424811 ×
53822402137108632916839091459495532488803426861285025731027949466667497461787611706580239382050272389987541214334465412264669678168698403923780733993893417984799<161>
10177-2×1088-1 =
(9
)887
(9
)88<177> = 8429864518136599
<16> × 242036336805842237953808823300488604325823932984348748277654118194791
<69> × 490115947419631425832426715932205745568602849630852894620554706259556126519000241366093262911
<93> (Robert Backstrom / Msieve 1.44 snfs /
January 7, 2012 2012 年 1 月 7 日)
10179-2×1089-1 =
(9
)897
(9
)89<179> = 11 × 89 × 167 × 7600812165206302769638100073763
<31> ×
80471266561205268874474705093799421162002287303821418077214920898530623333113395042790801348708329622834746515096156791882546070913611630895761<143> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=2002168925 for P31 /
February 16, 2011 2011 年 2 月 16 日)
10181-2×1090-1 =
(9
)907
(9
)90<181> = 7 × 80909 × 53769477848650813420228840997
<29> × 45059080430565566359262978348912207052532193691885414503
<56> × 7287641209950367948621474030314579365276317942110876568081129517961470613614107682057821103
<91> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs /
April 21, 2012 2012 年 4 月 21 日)
10183-2×1091-1 =
(9
)917
(9
)91<183> = 11 × 713245856539
<12> × 32845282994581082687
<20> ×
3880565777655244057038824404982505501049705541009371227495248068723349079735853881353005213298442273985278484991606149593496773558216816641020550234713<151>
10185-2×1092-1 =
(9
)927
(9
)92<185> = 7 × 42401753 × 87255799663
<11> × 48244871660225147096873238243498471580988247096467
<50> ×
80033662163605381865955376599659291230694278497951269731808372397150634842499564063168500129710056520855915290405189<116> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs /
April 26, 2012 2012 年 4 月 26 日)
10187-2×1093-1 =
(9
)937
(9
)93<187> = 11 × 43 × 53 × 22480541063
<11> × 1130770850641
<13> × 3500638360232023
<16> × 84497159662307746533090717684430643901677826342033022838427889235572673
<71> × 53050840306098921416507349978548456407312988362024514843975432992664921803
<74> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs /
April 29, 2012 2012 年 4 月 29 日)
10189-2×1094-1 =
(9
)947
(9
)94<189> = 1231 × 5099 × 8463947 × 392669230483
<12> × 192611956877226794971948061352391
<33> × 8115878692102958436434715512219314969
<37> × 30664673009138810128964433842960722824799278112734048359527460788388901734178711791409868376749
<95> (Serge Batalov / GMP-ECM B1=1000000, sigma=800738222 for P33 /
February 16, 2011 2011 年 2 月 16 日) (Dmitry Domanov / GMP-ECM B1=3000000, sigma=2494606219 for P37 /
February 17, 2011 2011 年 2 月 17 日)
10191-2×1095-1 =
(9
)957
(9
)95<191> = 11 × 547 × 110917 × 1151605098881429
<16> × 7183657402149004404679187249249
<31> × 303675040172619684934990774435473177932266730725435237048697
<60> × 59643563765441887978297947753579144103099720968835889400465764145387702100543
<77> (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=1764344037 for P31 /
February 16, 2011 2011 年 2 月 16 日) (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs /
May 1, 2012 2012 年 5 月 1 日)
10193-2×1096-1 =
(9
)967
(9
)96<193> = 7 × 3469 × 371761908559
<12> × 41289077379859504276036619822891
<32> × 29797104922419412931793437656157241065343004830454207271
<56> × 900375196076951521658746850952799868670921658029108511116380795631435184807673481715416847
<90> (Serge Batalov / GMP-ECM B1=1000000, sigma=818591442 for P32 /
February 16, 2011 2011 年 2 月 16 日) (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs /
May 5, 2012 2012 年 5 月 5 日)
10195-2×1097-1 =
(9
)977
(9
)97<195> = 11 × 71069 × 155609 × 86421427729720871
<17> ×
95119807266066368490569405655947067218635033163417332286017529596374597753654980729064324842016052544084449495768098063525251985400555321585952738197692561646822737199<167>
10197-2×1098-1 =
(9
)987
(9
)98<197> = 7 × 7032647 × 7592906983
<10> × 1346807827755195357027142547369
<31> × 769877177399127473016291838513159
<33> ×
258016799807288430886803082493209679951358028404519063672066492885844640757812454539892500174532703082764249579500967<117> (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=3689432189 for P31 /
February 16, 2011 2011 年 2 月 16 日) (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=556483322 for P33 /
February 16, 2011 2011 年 2 月 16 日)
10199-2×1099-1 =
(9
)997
(9
)99<199> = 11 × 79 × 509 × 659 × 21481 × 612968047 × 244860500244209
<15> × 5895396640652689
<16> × 26641655499554366633355173657290087853921
<41> × 11096870879244194090035432024421525321865821
<44> × 6105077656244789408117089817575842657279850707592660396130063743
<64> (Jo Yeong Uk / GMP-ECM 6.3 B1=3000000, sigma=5326203946 for P44, B1=3000000, sigma=3993165955 for P41 /
April 5, 2012 2012 年 4 月 5 日)
10201-2×10100-1 =
(9
)1007
(9
)100<201> = 14423 × 76038914160767
<14> ×
911818690183988088160091292700068114609179711142998774185291351951841759020360407291694789125831237426086600565318410311796947319141322214171175088478266457222306623023205287655812839<183>
10203-2×10101-1 =
(9
)1017
(9
)101<203> = 11 × 181 × 500529871 × 809344761739
<12> × 23309536523454062583990205102723558350268745011
<47> × 18475963257596207579452272051080137417117996040135171512584817813
<65> × 287888588782495223928303960323818238973886754943943374886184878113467
<69> (Bob Backstrom / Msieve 1.54 snfs for P47 x P65 x P69 /
December 17, 2021 2021 年 12 月 17 日)
10205-2×10102-1 =
(9
)1027
(9
)102<205> = 7 × 19 × 797 × 1723 × 6521 × 1138130240338759
<16> × 2495777056830844418437759
<25> × 38960086256555697863489964423610897
<35> ×
75870491842831703510870162711813438092361053737566273917372020085180012457479506857600627418764173241824088415270000829<119> (Serge Batalov / GMP-ECM B1=2000000, sigma=2227775106 for P35 /
April 19, 2012 2012 年 4 月 19 日)
10207-2×10103-1 =
(9
)1037
(9
)103<207> = 11 × 421 × 811 × 1283 × 1020631 ×
203333507944164006010776793312884708180953064774070396963840689832760316696420397192522819656326561355745894129540128662974255609896399676522614051098380598983076398225142972091350027824078543<192>
10209-2×10104-1 =
(9
)1047
(9
)104<209> = 7 × 19 × 241757603 × 8561864456869
<13> × 164726732851516437851
<21> × 44768251089137243020013
<23> × 427579650590332506810587201
<27> × 254804375225875743694274117783
<30> × 555033301523373562752530472466691210437
<39> × 814559299318543185740567314537007932177400278673
<48> (Makoto Kamada / GMP-ECM 6.4 B1=1e6, sigma=1233180661 for P30 /
April 13, 2012 2012 年 4 月 13 日) (Serge Batalov /
April 19, 2012 2012 年 4 月 19 日)
10211-2×10105-1 =
(9
)1057
(9
)105<211> = 11 × 78645755799158139059881693173490947364947381632607814589346105131
<65> ×
11559313021449028086477487621500737527575881732736754892210399572519785846367475291992844515610620806225817974053048168535052019668762169293106839<146> (Robert Backstrom / GGNFS-0.77.1-20060513-nocona, Msieve 1.44 snfs /
August 17, 2012 2012 年 8 月 17 日)
10213-2×10106-1 =
(9
)1067
(9
)106<213> = 53
2 × 421 × 2806691 × 34508196607553
<14> × 61947473322773
<14> × 137493756253970326417
<21> × 128593021249105813765263421911056681017403
<42> × 37212390795307434120694378099885625742578526941
<47> × 214209018786663473131892534392394943847126688487277684941801755819
<66> (Serge Batalov / GMP-ECM B1=3000000, sigma=3786283855 for P42 /
January 9, 2014 2014 年 1 月 9 日) (Serge Batalov / Msieve 1.51 gnfs for P47 x P66 /
January 9, 2014 2014 年 1 月 9 日)
10215-2×10107-1 =
(9
)1077
(9
)107<215> = 11 × 313 × 1181 × 1901 × 114419 × 97954802483
<11> × 1768833675212680906291207848061
<31> ×
[652559451097500198022501349342782132760729995388168816337824110995225003609475413790408009667074858768907966661176334428809374216096703921306078947949464863849<159>] (Makoto Kamada / GMP-ECM 6.4 B1=1e6, sigma=2752171494 for P31 /
April 13, 2012 2012 年 4 月 13 日)
Free to factor
10217-2×10108-1 =
(9
)1087
(9
)108<217> = 7 × 83 × 89 × 257 × 2622143 × 7721782500064093944551
<22> × 543493508868038230424090969
<27> ×
[68380526281669422931773045299147105250158372378219251572237688772943415351717605645873438359798578089446933112998486532983154709330428706897366801424195419<155>]
Free to factor
10219-2×10109-1 =
(9
)1097
(9
)109<219> = 11 × 15561575739546721
<17> × 1879181691734731294620917
<25> × 268731921727173831839158523433355641346477
<42> ×
11568198006528551370689915376941733363260360545528067245591135016704342490819490742237013894920965662340489542872245415195862629409307181<137> (Serge Batalov / GMP-ECM B1=11000000, sigma=2332868376 for P42 /
May 19, 2014 2014 年 5 月 19 日)
10221-2×10110-1 =
(9
)1107
(9
)110<221> = 7 × 55871 × 203417 × 89455511 × 86981695460916201498187179395143
<32> × 67130564548835382093880576950673515958748503871
<47> ×
2406428715053160220508615251831843886320508947101034851563093676055225765971036490443069382384636249089119597125953692626897<124> (Warut Roonguthai / GMP-ECM 6.3 B1=1000000, sigma=2734938752 for P32 /
April 19, 2012 2012 年 4 月 19 日) (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P47 x P124 /
September 10, 2018 2018 年 9 月 10 日)
10223-2×10111-1 =
(9
)1117
(9
)111<223> = 11 × 301577 × 632897 × 191871107 × 1317411533
<10> × 498739971187
<12> × 362582132006010233278783582730343195508458911
<45> × 293240343652805012584456496976437104342887422761
<48> × 355337240092633948783244442870332664514782860043778067158159949906489369980826552187423703
<90> (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P45 x P48 x P90 /
September 23, 2019 2019 年 9 月 23 日)
10225-2×10112-1 =
(9
)1127
(9
)112<225> = 79 × 97 × 8941 × 20960283557
<11> × 10767241495373171
<17> × 10074827569001564383190021088930892133
<38> ×
6419125257117716705411049997751554663207483526380596511502429968106655915480765229306779169909868387970069058043132855990425833366020235135450373689089903<154> (Makoto Kamada / GMP-ECM 6.4 B1=1e6, sigma=3368268946 for P38 /
April 14, 2012 2012 年 4 月 14 日)
10227-2×10113-1 =
(9
)1137
(9
)113<227> = 11 × 3527 × 1568892527057
<13> × 40147358625943
<14> × 703909977856670010719
<21> × 17465382939387141001660280419
<29> ×
3328560458918337620307768166466846366293993737979028603462634209767980212816456605962988442760109161078507223983590148529634025139448457864512998897<148>
10229-2×10114-1 =
(9
)1147
(9
)114<229> = 7
3 × 43 × 1118155979
<10> ×
606366268524707628308375744575706866636921367694658674621970957907444149592012916167415019663792330534023623136600793247478188754584318076196339288649005717804106709253919905816699473068068849766190469023575152874369<216>
10231-2×10115-1 =
(9
)1157
(9
)115<231> = 11 × 296783536178154487081126004383341310925281131065880947205610738885100889507959875618065061463477
<96> ×
306314467708611747960147056874030628918362694241912589376038258454214648862721017297591423775164542617592336961522247955014972785073417<135> (NFS@Home + Thomas Womack / ggnfs-lasieve4I14e on the NFS@Home grid + msieve 1.53 SVN for P96 x P135 /
September 13, 2015 2015 年 9 月 13 日)
10233-2×10116-1 =
(9
)1167
(9
)116<233> = 7
2 × 653 × 19141 ×
163277414775528732802661380061822935809327783013694418027020475675210767508069418836264162656425049461259883767674087934851044471825377508771560703023368866096334193939740938534940526699664128724439265640429690184191406573487<225>
10235-2×10117-1 =
(9
)1177
(9
)117<235> = 11 × 2381 × 47741 × 33070189 × 152418949 ×
[1586648655996492865782350165222194969337504789429255050142925004328338955149031442633050815608949674025162486082881408049860729241965865371658728196821463169791780838342107279752525115288708630042163921687499589<211>]
Free to factor
10239-2×10119-1 =
(9
)1197
(9
)119<239> = 11 × 53 × 2708996888541112009707764221
<28> × 23991146199159218642933490590685219246709403
<44> ×
2639197807439827810863311657493710682610464324410447180247708649629278092018109624233566931287114468906573664703947615146052004716009944250322984796369386630669266631<166> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=1610300136 for P44 /
April 25, 2012 2012 年 4 月 25 日)
10241-2×10120-1 =
(9
)1207
(9
)120<241> = 7 × 19 × 157 × 2381 × 2879 × 20143 × 258403 × 147245784739005570973
<21> × 22043035193075280965036959
<26> × 16822957776779906213752310953
<29> × 235198591333342709992811545789
<30> × 1464979928996319306569206623273420136363
<40> × 713416141586331034858061695960754008431294492230883089005948045645530822287317
<78> (Makoto Kamada / GMP-ECM 6.4 B1=1e6, sigma=1389126232 for P30 /
April 14, 2012 2012 年 4 月 14 日) (Warut Roonguthai / GMP-ECM 6.3 B1=1000000, sigma=2174436627 for P40 /
April 19, 2012 2012 年 4 月 19 日)
10243-2×10121-1 =
(9
)1217
(9
)121<243> = 11 × 113 × 2022062099711520766482567681672878308068650441922538456458703651309
<67> × 3993623366179975466410722351471837626001477582856143112619005520573
<67> ×
99624757567914677879713213319352297090170429994389955394810022890853048166221347768838484510478029947563349<107> (ebina / Msieve 1.54 snfs for P67 x P67 x P107 /
September 22, 2023 2023 年 9 月 22 日)
10245-2×10122-1 =
(9
)1227
(9
)122<245> = 7 × 19 × 263 × 1083847 × 2623373 × 615596024963994677609465056068064943
<36> × 6418463799599955602655962853502240729
<37> × 16590351120948519363154828122415847198656919
<44> × 198769863270145667902364744492552108873178647
<45> × 77166991134136937634167169529144813422410152960228818934476764808281
<68> (Serge Batalov / GMP-ECM B1=11000000, sigma=92628219 for P36 /
April 22, 2012 2012 年 4 月 22 日) (Serge Batalov / GMP-ECM B1=3000000, sigma=1084504988 for P37 /
January 9, 2014 2014 年 1 月 9 日) (Serge Batalov / GMP-ECM B1=11000000, sigma=1992035487 for P45, Msieve 1.51 gnfs for P44 x P68 /
May 24, 2014 2014 年 5 月 24 日)
10247-2×10123-1 =
(9
)1237
(9
)123<247> = 11 × 283 × 2561661481
<10> × 210860696302520347148701997
<27> × 1246054271338064215638171313
<28> ×
[4772726487690480583735137351306867223246747669299933996483388231417616431185548543025409052679839695045703323779154959968067694350116128896353331150157516482456613880658678865307803<181>]
Free to factor
10249-2×10124-1 =
(9
)1247
(9
)124<249> = 82279 × 72434680723348763
<17> ×
[167789370647286471946609276180029296234269059979789747884804499212862113349993735216217203281177438928853486682457800994386564622615538965067389190846785646420506838798564671580083548432631928237070785083910168802784647773698187<228>]
Free to factor
10251-2×10125-1 =
(9
)1257
(9
)125<251> = 11 × 79 × 644009 × 33179843087
<11> × 116439652039
<12> × 4857137548243
<13> ×
9522098239286305934987962076355774631321598228675133580918589706282979144109235649527481444330555175255419790213685716955351235970123204860253357756714314156542427287467279664318468274623853602112519000892081<208>
10253-2×10126-1 =
(9
)1267
(9
)126<253> = 7 × 64951 × 17161897 × 16441873672751
<14> × 3387802607691901379668657429026158585461283
<43> ×
[23008135259279184783489996657270681200083427459101297218674719154131008183975327910240377208382065044106274002623827328373843259761417095429058068409059853181728628060602745682238489507<185>] (Serge Batalov / GMP-ECM B1=3000000, sigma=373476968 for P43 /
May 19, 2014 2014 年 5 月 19 日)
Free to factor
10255-2×10127-1 =
(9
)1277
(9
)127<255> = 11 × 97 × 273803 × 196329677 × 24103336259
<11> × 16395708540715132777741663859
<29> ×
[44116807490151078053474651824422478293903458717107478524094567588123434767488445512468693837695031408728854144034285820766737414733543564111187704045583338149829084781766530405861607956920098935038827<200>]
Free to factor
10257-2×10128-1 =
(9
)1287
(9
)128<257> = 7 × 7085359 × 5005117247880635468280889733
<28> ×
[402833745636396138679672920942333391717433056797313460520591155709959850365646137613790935150886352359505706052624510505562842219247324006442926670529625577428480309279719084109886257457882079751375332502462299692010011931<222>]
Free to factor
10259-2×10129-1 =
(9
)1297
(9
)129<259> = 11 × 170696062936661
<15> × 23613324094130546185441
<23> ×
[225541613309472527682856768668919864478528385125799692447243775154951126029080864529346827432157011741122982096423054943137810206212549010676653183478078448003012059019396352243337760814251626821698211172062341525482918409<222>]
Free to factor
10261-2×10130-1 =
(9
)1307
(9
)130<261> = 12086319804954270127139100631231315931641
<41> ×
82738171431645615475281762189282458254144562945424316726406695743372022497636651322947298128012564142674773831191220528108892062477436699982864393664359126011066258751424078672416208088351914380626397696964285330216026039<221> (Serge Batalov / GMP-ECM B1=11000000, sigma=3022842908 for P41 /
April 21, 2012 2012 年 4 月 21 日)
10263-2×10131-1 =
(9
)1317
(9
)131<263> = 11 × 269 × 347 × 28632379 × 95036033 × 29940653731935899
<17> ×
1195414577938314982672405887894727133669875840457459166467392670634919952197442126967621772675601708227422871352774510498580584179269991920045435421444225206940937063138215129187083552470088701337876054643056874355363714664091<226>
10265-2×10132-1 =
(9
)1327
(9
)132<265> = 7 × 53 × 96053 ×
280617762043602219495677686703906701553441000943352730661977581278619679392523158612202612871268874666370034984335776213845102306641467565792167245492247471304238116742769736036621515923528629171288324283457277054169021634310550080126192685119959743698328273<258>
10267-2×10133-1 =
(9
)1337
(9
)133<267> = 11 × 89 × 4686952549
<10> ×
217934883908872029785526995130637690425188473614842349991768273218930924439902860927833153137613718408200674064039327142181211227150616715460683801496460108087958612668453352803510581157495846256419435492930431741205011738663144090210261414867976289237569<255>
10269-2×10134-1 =
(9
)1347
(9
)134<269> = 7 × 5387 × 118747 × 336263099714964571
<18> × 2293326324442655015442219497799135457067
<40> ×
28959247303354056402191181803285047296480267165632693395366820417593444959037661793481974110465118325358633008263155424152684574027140698532998783536659408760197727299522631639444444536060631571129378009<203> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=1642226039 for P40 /
April 25, 2012 2012 年 4 月 25 日)
10271-2×10135-1 =
(9
)1357
(9
)135<271> = 11 × 43 × 1231 × 2591273 × 94539277457
<11> × 3923431088113
<13> × 5239801448611801
<16> ×
3410157975056398632794566158341950061419001741152076962787222251844239085214190141797636766485869759272562059844620682622175060351736425216405037082340735173343411498666417248246578945836317375960482180479986231463555961<220>
10273-2×10136-1 =
(9
)1367
(9
)136<273> = 107 × 705188459 × 12833932669043
<14> ×
1032645530609682131325232258661271100806761268550645612554708830440012453896726157440771724896334138364375805183284166421160284830032317732351450472515995133658533783839500836915927639632481368488158742839285470362956307801585153404107813768749172461<250>
10275-2×10137-1 =
(9
)1377
(9
)137<275> = 11 × 867143 × 19156411 × 169951847467
<12> ×
[3220153364049890738962855955383210071095942976819871659577012680381676226573277581910700081054127234043918798140755126861442242446073003686373075669512355602962990381514296544973824184927191854267897731975681068759627285534844736414426959093184912899<250>]
Free to factor
10277-2×10138-1 =
(9
)1387
(9
)138<277> = 7 × 19 × 79 × 317 × 4639217719308521582471421479
<28> × 64953461060659036899946779686051284009
<38> ×
[9963569476338862795321193844892003798637101762995755731377886792730978485820774953766836764749181920832299790847923843306534737074503537691038712709530154144330888556742693533131701468034111974585167847711<205>] (Serge Batalov / GMP-ECM B1=11000000, sigma=941591142 for P38 /
May 18, 2014 2014 年 5 月 18 日)
Free to factor
10279-2×10139-1 =
(9
)1397
(9
)139<279> = 11 × 6029846682317623943
<19> ×
[15076517811917103410155702551711829511903204675839293219932151130976781451806793409099613139073253090729887164715563393140492684340087250949167341280072047345114861759443824400899824420725740092469619545319262852427652758330546341701351879333518715285062477563<260>]
Free to factor
10281-2×10140-1 =
(9
)1407
(9
)140<281> = 7 × 19 × 131 × 48023 × 86441 × 4930412219
<10> ×
[280430187887704250095233597059579345720196979196067491189109818422880278439078037663996020182045058510874459626511844868807649992670516327216393900101619312343641726845869213911480286818749735855447311222954757806534097462995807237921923085590526495409606989<258>]
Free to factor
10283-2×10141-1 =
(9
)1417
(9
)141<283> = 11 × 2999 × 186260939209
<12> × 36510761064541
<14> × 2889803373878800857109599813205287029
<37> ×
[15424812049780446334582856728916179348926510715408412758350884042820493983749217698208129984998854856084607499392199405689178482594640215171714882180555053434265384416409692730970280733176659713431523925344021027095091<218>] (Serge Batalov / GMP-ECM B1=2000000, sigma=642791430 for P37 /
April 19, 2012 2012 年 4 月 19 日)
Free to factor
10285-2×10142-1 =
(9
)1427
(9
)142<285> = 1619 × 1058272689829
<13> × 15003015372717459051839876843
<29> ×
[38902454933115737623552127192706227270469409347925799576480902689940112799269944051561150075051843046264952416353713166547226831832437894478723574567393959692088660423378209215250709341128991001948426097889688824696236787340635529589045899843<242>]
Free to factor
10287-2×10143-1 =
(9
)1437
(9
)143<287> = 11 × 38333 × 5214775156853
<13> × 36489029153569
<14> × 9948937363961597
<16> × 11158285029152786939
<20> × 88379723022228071350224137
<26> × 25100359862325936873212095675401468919
<38> ×
5060924723589614606290392174023377513137602650819698998241858130132566271625926020204389298776150697756408796919078300633968284986753913297560935314364456861<157> (Warut Roonguthai / GMP-ECM 6.3 B1=1000000, sigma=3943858894 for P38 /
April 19, 2012 2012 年 4 月 19 日)
10289-2×10144-1 =
(9
)1447
(9
)144<289> = 7 × 1153 × 4305747045007439587
<19> ×
[287755836086224624543368226827821827446425912358704049060864507185113875581582774607572041375647997753161958207488869307506269455098723614422325048334573445216432421370406224713087795075868916218759379390781454678684861294877911429523547747842360559135303140100108387<267>]
Free to factor
10291-2×10145-1 =
(9
)1457
(9
)145<291> = 11 × 53 × 151 × 73471 × 11104537 × 21069995512844480618460659
<26> ×
660805498950124260705974006284766641404400359046381550216332489131292295270217471371454959223572710401079778680453766711397196061943678785113268509060632139173943783165280939976583393556532249381654681178455563949008461388423257313206260824704476371<249>
10293-2×10146-1 =
(9
)1467
(9
)146<293> = 7 × 824374784361289403900484898363
<30> ×
17329149989446362595797864404344947346482510646271987191281039611332187808759336485751006065066076185705325503228514473543269366084645448957946710964652603290734692617262474947216831377640470636641122054716156575778211353293973295117314509890593088181335886660939<263> (Makoto Kamada / GMP-ECM 6.4 B1=1e6, sigma=337182071 /
April 18, 2012 2012 年 4 月 18 日)
10295-2×10147-1 =
(9
)1477
(9
)147<295> = 11 × 109099809713
<12> × 496318763777
<12> × 394370985462227273
<18> × 4253180596563478843
<19> ×
[10009303262860347143449918548482454132372918224432913048379778175723375355607434345818070823725612881513525931446602068588622691220082880250178763192157315215755540995891320219928718790568575969164752630811688490032241081419434723018431<236>]
Free to factor
10297-2×10148-1 =
(9
)1487
(9
)148<297> = 523 × 37258609 × 959388456347
<12> × 836186048586899
<15> × 2714093054053694884658448764796844952035163
<43> ×
[23569454687815391090163160443386473477778616256905321693168859546043663845574812883582293995326756893850694174945551949605723573307161544343410842345217449699636806259893243355833105146053619847421383047139592007239063<218>] (Serge Batalov / GMP-ECM B1=11000000, sigma=70360351 for P43 /
May 18, 2014 2014 年 5 月 18 日)
Free to factor
10299-2×10149-1 =
(9
)1497
(9
)149<299> = 11 × 83 ×
109529025191675794085432639649507119386637458926615553121577217962760131434830230010952902519167579408543263964950711938663745892661555312157721796275794085432639649507119386637458926615553121577217962760131434830230010952902519167579408543263964950711938663745892661555312157721796276013143483023<297>
10301-2×10150-1 =
(9
)1507
(9
)150<301> = 7 × 4261 × 258019638225276842364908833
<27> ×
[1299384445965460337809412285276408386522213551245569853965137039324480723033466074580362455366201969270915276392198170817816356324157672418574660039388534848101223913533600857620116390545286657400881884161313470716147664883007196608789875302954544687673911901928164148789<271>]
Free to factor