old log ('00/01..04)


April 27, 2000.

By Tetsuya IZU (April 25, 2000)

by ecm (Izu, Ver B.01)
(150 329 (135948601 27338553008629652075225383501) (P 65))
(150 595 (601 78362437706009826371117851) (P 83))
(150 706 (151 243331486319054490801994346851) (P 83))
(150 722 (1201 86219075473896324299251 80255623097908433585577001) (C 63))
(150 730 (151 1677275445429939843879181847311419001) (C 77))
(150 731 (601 1801 1124075551 5455104112697374706733834751) (P 72))
(150 876 (1099051 160582292875607400158401 286423665276432853357801) (P 65))

by ppmpqs (Tomabechi, Ver2.6)
(132 255 (226777 957020009905378987299998912535195637) (P 55))
(132 314 (10429 1914001 136605166633379522475794763689120751827017) (P 49))
(132 822 (96097 268914029475860620941937 195641977455486482639678310593881) (P 56))
(150 722 (1201 86219075473896324299251 80255623097908433585577001 19034205820168833459120961051) (P 35))
(150 730 (151 89540319913875224195380517401 1677275445429939843879181847311419001) (P 48))

by snfs (Tomabechi, Ver1.1)
(41 515 (83 821 11331768093964893457092161678752746377) (P 67))
(41 533 (725331652369085226587024728070104321976943199965899) (P 59))
(132 323 (21121 7736871497493374765408473181230557581432949349) (P 51))
(132 345 (1453 672550357185164785240775413017674473) (P 63))
(132 346 (11164301400984344396286037346793169) (P 68))
(132 364 (19750109654307289273462723257914582338231670701) (P 57))
(132 410 (5790603982346965197196314307874653198251773113) (P 59))
(132 429 (24643140409887721338682971317649337) (P 71))


By Igor Schein (April 24, 2000)

(75 483 (858091951 92765690029303728443173201 475440970928656578868460675469151) (P 40))
(82 195 (3691 3200789 6278534034264707633036273487597183274879) (P 42))

April 25, 2000.

By Yasunobu Torii (April 24, 2000)

by SNFS

(108 966 (21447599187182401 26098830069713906108114520831806019901) (P 54))
(108 971 (109 872731933096117066615482955453983313) (P 70))


By Igor Schein (April 23, 2000)

(55 498 (11 217851278591 70688027219261 390951667304933786565145501) (P 56))
(55 790 (11 76478821 15297444714788744842287911 3923842851844375291572853834354088611) (P 46))
(55 791 (661 12211 84811 5307659941 17570653016731 2359626508938527260192211395121) (P 51))
(75 224 (74101 72141451 109091210950082460929563742574789451) (P 47))
(75 755 (10376298984693601 506918622245764051 121295079891056663958602295761582401) (P 47))


By Masaki UKAI (April 23, 2000)

GMP-ECM 4c
(75 483 (858091951 92765690029303728443173201) (C 73))

(82 585 (21714421 7835853862724169698073771227) (P 76))
(82 702 (739 2974633 29457271 44651051 385536159095087755819458019 221007851869151174575522859717) (P 34))
(82 721 (83 2707 9092028017882586883249420259) (C 82))
(82 889 (237883 7906277 814036372855567053683363 163402327158903179803974140033) (P 53)) (already found)

(100 352 (5 401 1477021754594401 17356653535393750784697401) (P 59))
(110 393 (11 2378641 6742555610891 93912877610939885125864501) (P 58))
(110 403 (11 231551 60456266861 233038576503720500094120064445661171989959511) (P 43))

SNFS 1.1
(114 847 (479602681971555403022253497102560271530383648060421) (P 55))


By Tetsuya Kobayashi ("Hamayan") (April 22, 2000)

(94 253 (7333 2575319 2334130970009 47235941765378457987658343517355381) (P 54))
(94 555 (26278829 63953885505108739873 77067595140639249418815787 2376493338696565634925241847) (P 46))
(94 696 (74449 616190416519 1271715393204072087275631013 242513251354937128547170181046611) (P 55))
(94 731 (45602970121 163911947563912308245964900708431) (P 89))
(94 753 (20681 3472643 38474601115063853676086749) (P 96))
(94 935 (14759 7183125223039 152381485983751 2091732404708669664456397 349672794279931755922788897858661517377) (P 43))
(94 968 (11939 19553 151153 101109621336556685939899) (P 101))

April 20, 2000.

Erratum pointed out by Andy Steward.

false
(94 515 (283 13733175959649165037 555961065525277584233) (C 85))
true
(94 510 (13733175959649165037 555961065525277584233 638396439283699314695809) (P 61))

What is the true factor of 
(94 515 (283) (C 123))

By Tetsuya IZU (April 18, 2000)

by ecm (Izu, Ver B.01)
(150 194 (4895356920912597782728801) (P 67))
(150 274 (595351 190699096069781340723563701) (P 66))
(150 292 (151 6301 79188301 618022773282776356725301) (P 61))
(150 308 (151 1592401 3563236101330407186689304956651) (C 61))
(150 458 (135777806929543501824301) (P 84))
(150 482 (95558851 85201247051251 9143185664888998162425151) (P 61))
(150 703 (197551 15089306315821836987049201) (C 84))
(150 833 (7803756139951 36032087613423106614323469151) (P 76))
(150 836 (159785522826078670403919636429451) (C 85))

by ppmpqs (Tomabechi, Ver2.6)
(41 948 (68963 70111 455921 1017734789833 721654578418242496027139622764380136988991) (P 50))
(132 985 (3301 72337 3686515422567969803976649 425849473569066732625483070752311944322769) (P 46))
(150 308 (151 1592401 846661046894217204010018380901 3563236101330407186689304956651) (P 31))

by snfs (Tomabechi, Ver1.1)
(41 752 (310781 3321768816011 665543951931605846577358427539001826466157411) (P 53))
(132 329 (397 8934485030581450287957148909199758671949) (P 59))
(132 335 (274693 103113461789128811932209041260309373740840893697) (P 49))
(132 339 (202621 1123775809196006248114911596012905155780080377) (P 51))
(132 432 (230862642750733503186874171914123477167650701817) (P 59))
(132 435 (4621 398148477456927548001205417449318349333) (P 64))

April 18, 2000.

By Tetsuya Kobayashi ("Hamayan") (April 17, 2000)

(94 199 (1246049440225266467939914238772161092999279988417) (P 58))
(94 346 (40166153189 98269916784111171285367) (P 84))
(94 515 (283 13733175959649165037 555961065525277584233 638396439283699314695809) (P 61))
(94 562 (283 2069 386009146677980748491) (C 101))
(94 582 (1337621 1416142507891496705869993) (P 97))
(94 803 (1588834878931667 52549273405533567315701) (P 96))
(94 939 (47 12503 20023 3661771 2952684479 9510359072024151665975983 8646104108645916145608891419110197103) (P 49))
(94 998 (283 188189 5348754673253352121807) (P 109))


By Andy Steward (April 16, 2000)

by ECMfile2 (Ubasic - KIDA/steward)

(47 827 (15259578451249851328445221702694410367) (P 98))

by PPMPQS (Tomabechi)

(47 208 (131413 210764092153469 20461642787879581122321235635917) (P 56))
(47 264 (283 11216213387 525610965787 13369611729725922375049500854314512802463203) (P 45))

(49 860 (21122792132051 50837872577648303654711 38931432639093250687040205475717875899) (P 50))


By Igor Schein (April 16, 2000)

(69 680 (139 691 586087 2653741 40155224974899482891790967 4654870597925758865597574249945721) (P 49))
(69 704 (139 8971 223423 911877119215429 278520359041284667 100801706707499601915573982951) (P 53))
(138 681 (20149 1622270869 96276464797 6862589222629586989 560396765984488807357) (P 61))
(138 988 (139 535564891 99272398567 49262396554213 947802668518423 6787216364085726236116131411875368405999) (P 42))

April 15, 2000.

By Yasunobu Torii (April 14, 2000)

by SNFS

(108 936 (4969 18741462190202257512174678653236849213) (P 66))
(108 950 (21601 42856810854266394647257451934781) (P 72))
(108 958 (757 17695390606163788225437814171021732446301) (P 65))


By Tetsuya Kobayashi ("Hamayan") (April 13, 2000)

(94 262 (11939 325399649775698906483 11242662651084031091277915733) (P 59))
(94 515 (283 13733175959649165037 555961065525277584233) (C 85))
(94 591 (152657 842993 37906257697922709935029) (P 94))
(94 611 (17579 201033101 21064697316395921141320501) (P 91))
(94 917 (92849647500141044893057) (P 114))
(94 939 (47 12503 20023 3661771 2952684479 9510359072024151665975983) (C 86))
(94 948 (108057043 5523776897 627085460387 2452675212104933 2350740711958428445267 4983080688020907847373) (P 49))


By Igor Schein (April 12, 2000)

(98 565 (20483 670183879 619801480902123458429 471225733706826937889387555597) (P 52))

April 12, 2000.

By Tetsuya IZU (April 11, 2000)

by ecm (Izu, Ver A.30)
(55 824 (47883551 41101368881 40800155062968212183812603801) (P 70))
(55 826 (881 96495275911 14519073594010095131189040401) (P 75))
(55 940 (11 3851 341979330221 9288080865921278064659434441991) (P 72))

by ppmpqs (Tomabechi, Ver2.6)
(41 927 (821 38445453509 46267049524961 54799473346848402349539044096672069524880339) (P 48))
(41 996 (1231 1470532159 1621533209543881 115830613696226564726293179420253205380052389) (P 49))
(132 478 (4489536913506337969 1904286869441588861426787021645181) (P 56))
(132 798 (661 1321 1453 2473813 33975435180061 11121289494282207378007203135615616713455557) (P 45))

by snfs (Tomabechi, Ver1.1)
(132 327 (397 17966714580828543497926077275748013489) (P 61))

April 11, 2000.

By Satoshi Tomabechi (April 10, 2000)

by snfs v1.5 (using polynomial x^6+x^5+x^4+x^3+x^2+x+1)
(49 148 (7 12061574642720740560526155341419291448144999) (P 48))
(49 198 (3807057632789930319311102639602167379057817) (P 54))
(49 249 (10026727351639762337117215914917744910552450425009) (P 52))


By Igor Schein (April 10, 2000)

(86 224 (2325613 27463964981 142379539557563634370063552761313) (P 50))
(86 804 (102964619 159060044659 2029095926496645584833 6508885443964795571759) (P 60))
(86 848 (2237 25457 46441 379163366789 503148631884196097 4987443403596522156546005450537) (P 51))
(86 984 (17701090954389182939 6052243796077197691292899 1070017305992441527401999880873) (P 52))
(110 699 (11 6133271 29160001975837607812384591 63635992003792598226438652634443505911) (P 43))
(150 764 (770401 19200388930501 641066814436801 26578506734064317437534339501) (P 53))

April 10, 2000.

By Tetsuya Kobayashi ("Hamayan") (April 09, 2000)

(94 176 (289508655517 67168491948216663078187) (P 70))
(94 178 (87204348278501 191728451417968389072461) (P 67))
(94 215 (5171 44996771751927583456079) (P 81))
(94 220 (1659359050937532289746080963) (P 81))
(94 326 (283 2633 17089598114977993961 2342117243053468131895137157) (P 64))
(94 330 (4231 3516101021 19343525203 1691423184020022282502124597 39554818579226955219739165409153) (P 34))
(94 404 (62705897 28529225450369297 1894624190527779657264397463) (P 69))
(94 515 (283 555961065525277584233) (C 104))
(94 567 (1787 12503 892224272168265913 2278108353110720901061) (P 81))
(94 597 (397134648812633180437151 5620582523034198608430781) (P 80))
(94 638 (4231 45497 10886208614406326021 301285083914986590391161247) (P 76))

April 08, 2000.

By Yasunobu Torii (April 08, 2000)

by snfs

(108 910 (21792241 170110755563030206295993237881) (P 70))
(108 932 (12097 63962622001 78704979442422211363100981163991021) (P 58))

April 07, 2000.

By Tetsuya Kobayashi ("Hamayan") (April 06, 2000)

(94 438 (2069 115384090076712281889293) (P 96))
(94 693 (941 225601 120133693 302768724330178429 3795021960473786693355310271 103347401151708286086733354071983) (P 38))
(94 710 (362112629 557501894596913211229013) (C 99))
(94 721 (10529 2254957681124363 9206772891541440893) (C 94))
(94 737 (1693 28859 17376841 332630056309384382136617) (P 94))
(94 742 (659 128616347 1070838413 200109053399 8140741727439563354774771) (P 76))
(94 754 (420764764771927 1487360184990039612179581) (P 94))
(94 789 (283 3761 39808343 570157283 430164299649959984332151 1247496838045717269277469 8190953066111703783847951) (P 39))
(94 800 (189881 163174111577 1435248658734307011979 169146401855728009772707) (P 73))


By Igor Schein (April 05, 2000)

(55 426 (5281 33808044474844436198996687501 2422482559208118477859121335799501) (P 40))
(88 762 (2532926673024001 331009814490904682184041 560387592505828515827081 368789623321663051667268121) (P 27))
(110 908 (11 16831 14880789221 7588765810279216495901 446220968421411680800394073174701081) (P 46))
(150 410 (151 6301 102451 891587998201 43864477337374544078959864167301) (P 50))

April 06, 2000.

By Igor Schein (April 04, 2000)

(88 652 (89 218417 189513057977 1696026109889 79800167039716557455423934929) (P 53))
(88 922 (237958626407536673 151344586980078137449 821965218053191202923071266434561) (P 49))
(100 795 (20101 7878176101 139086777318453314401 7664742325698353037456668745013901) (P 48))
(110 338 (11 331 98011 45316611121 451964278911214287038263865831971) (P 50))


By Tetsuya IZU (April 04, 2000)

by ecm
(55 426 (5281 33808044474844436198996687501) (C 73))

by ecm (Izu, Ver A.23)
(55 380 (331 691085891 355442450506413209068745304151) (P 63))
(55 684 (331 881 2311 135466600079563627291730281) (P 79))
(55 723 (464201 2195060341 632334236780291 30592589319264924003812761) (P 60))
(55 767 (331 5173743552646662553318660441) (P 86))

by ppmpqs (Tomabechi, Ver2.6)
(41 849 (821 641300990624340282567887 23147081708427623852797371814250394977) (P 54))
(132 355 (189817 40132497109 20812121692630664650752990412273) (P 55))
(132 735 (1561955034288182986318404121 4941065618550834689605372041815329881889) (P 48))

by snfs (Tomabechi, Ver1.1)
(132 253 (11011530356220588642549142702443817) (P 63))
(132 272 (397 50919306163156770599267173386926501098034357473) (P 49))
(132 300 (29833 46277704591447786431817209750936961) (P 60))
(132 322 (342800487555258836631117774837640741381) (P 62))

April 04, 2000.

Errata pointed out by Andy Steward.

(94 371 (76793677 320864448248606146852319079887) (P 85))
320864448248606146852319079887 does not divide M(94,371)

This is the factor of (94 370).
(94 370 (8273 320864448248606146852319079887) (P 85))

By Andy Steward (April 02, 2000)

by ECMfile2 (Ubasic - KIDA/steward)

(43 597 (3567617579671 17031548032695769909911881) (P 79))
(43 767 (68192153 22947872589438300769 4348173712119409083133072243) (P 67))

(47 909 (283 16921 104376145550197529407537) (P 107))

(53 404 (107 3499 282703 2344297 1701169516359035724123491) (C 94))
(53 605 (3181 12721 1508252633840684609939) (C 116))

(59 859 (1063 1181 25253 1020446439961177651 665116351814829043181233) (P 118))

by PPMPQS (Tomabechi)

(49 605 (966869 615058624024947121114649 1330732251032478651880365949368889229) (P 51))

by ECM & PPMPQS

(47 597 (72109065904551901 2928917096220621397 16506776677119848177345633 3555369977387454533149654025272843) (P 34))
(47 767 (659 773234372011837 1433497880432741511785167319 1945120661533309061226763939 7056098951386922683586283941) (P 33))


By Henrik Olsen

(49 184 (6763 175544263714516095746624172213069991) (P 57))


By Masaki UKAI (April 03, 2000)

GMP-ECM 4C
(110 699 (11 6133271 29160001975837607812384591) (C 81))
(150 210 (55727190087879910050862415101) (P 65))
(88 609 (89 1660732083330262330433 76031784560409147626345201 622443350209662060622301721601) (P 33))
(88 762 (2532926673024001 368789623321663051667268121) (C 74))
(88 902 (2535017 105306693123752422231385809) (P 86))

PPMPQS 2.6
(126 840 (127 2143 10247759173 54113739776506254340718471721139662711850183) (P 47))


By me (Hisanori Mishima) (April 03, 2000)

by GMP-ECM 3b (B1=3000000)

(114 975 (13629959929 146388427893778674861733314958375385401) (P 60))

April 02, 2000.

By Tetsuya Kobayashi ("Hamayan") (April 01, 2000)

(94 187 (47 126494643827512719989356393) (P 77))
(94 238 (44651 220041593 4429363151103276578873 9352482037245800096628947) (P 50))
(94 292 (2351 98494248566540054017 375436800650489876549) (P 70))
(94 306 (32454514273877313561107233) (C 89))
(94 364 (10529 71445379903 300419552503490713) (P 86))
(94 501 (498013 3041127406963 330205050351271442111 3198899744720445557643259 23457616070845884359125411) (P 36))
(94 510 (13733175959649165037 555961065525277584233 638396439283699314695809) (P 61))
(94 646 (15589934183101 1452538192285443643 965397558456351922778927 10097223895633977365145829) (P 49))
(94 682 (8179 17659217 220193709146577857399 114923026950908134533413329919 1727217383132189273287166018303) (P 40))
(94 738 (283 2069 409331289942666233 109013290435742128619 1171708540252355154475823) (P 65))
(94 740 (2069 114493 1165037 813480233572189 59676988911489465009679511 19778895494406531416126874341) (P 49))
(94 744 (9871 22279 772196492800379 12247540104591017476753 44133934125698788022182871) (P 62))
(94 794 (10407493 5344845414119 1385260033858397 495249580394628887 766427269348599878897673935484041777) (P 45))
(94 855 (2069 4513 825509 121777753 245538341 450747194487569240867 396472093670332643152547 606017117349940818174881699) (P 35))


By Igor Schein (March 31, 2000)

(75 700 (48829201 12307416964721164861507501 27127779592444787850192491228251) (P 50))
(75 933 (135601 102861181051 2429660500395216830251 21596716161033125610837178501) (P 53))
(82 615 (83 83 61404248198486450981895649 5167049841103689205811055808313) (P 52))
(82 889 (237883 7906277 814036372855567053683363 163402327158903179803974140033) (P 53))


By Yasunobu Torii (March 31, 2000)

by SNFS

(108 852 (541 404173332793208566817701381429203412021251957913) (P 56))
(108 897 (541 38361487310154078401110375310635117) (P 69))
(108 905 (3885733 19524997 160756014867114752493655964462831850703452973) (P 49))

March 31, 2000.

By Tetsuya Kobayashi ("Hamayan") (March 29, 2000)

(94 159 (28753567 4908103822661417687) (P 76))
(94 208 (5441892937625836457 65615543768086637798958299140859899) (P 54))
(94 501 (498013 3041127406963 330205050351271442111) (C 86))
(94 553 (1223 1693 63824031547 1843187381295262053532181) (P 85))
(94 597 (5620582523034198608430781) (C 103))
(94 675 (136207 71072726209 661864647137342910589) (C 94))
(94 689 (1169534371 353409220943417156179) (P 101))
(94 698 (283 4519617703814791 409179050642843009) (C 96))
(94 738 (283 2069 409331289942666233 109013290435742128619) (C 89))
(94 744 (9871 22279 772196492800379 12247540104591017476753) (C 87))
(94 748 (241323333158931179690971) (C 109))
(94 792 (9534061218897629 78111943798938279719) (P 98))
(94 906 (13537 8054529413471482285432864172333851) (P 98))
(94 908 (1129 9858426572609 3945530341311090474972257) (C 96))
(94 910 (93106380162109346542243) (C 114))
(94 915 (211501 624687247 2048839646771 55375946900837 152988682437886629277) (P 76))
(94 934 (11672402719 461356285606143046686751) (P 103))
(94 962 (2633 21136673745731232794269) (C 112))
(94 973 (168731 20901188601695287421) (C 113))
(94 996 (183770343853 17086385595348323981) (P 108))

March 29, 2000 (Many data arrived today.)

By Igor Schein (March 28, 2000)

(138 771 (11559540607 8132023227487 582852725025403147256059 492503853702615526460563388678288938831) (P 42))

Comment from Igor.

  "This finishes factorization of all composites of length 81 or less.
   On to C82 now."


By Tetsuya IZU (March 28, 2000)

by ecm
(55 363 (135301 442140632280601 800392377873795861291516723803471) (P 50))

by ecm (Izu, Ver A.22)
(55 327 (177625037725465891334510221) (P 75))
(55 495 (1403078244041 18627747740511690690898561) (P 71))
(55 573 (5008998176736022522850957161) (C 83))
(55 575 (11 261581 266641 573741742384277721264300181) (P 72))
(55 648 (161921 6861557796281 46858853135277858575603671) (P 69))
(55 688 (4703711 15039648380674322164651 52668066971045884863817563131) (P 56))
(55 744 (12285527981 880496941274981280784381) (P 81))
(55 856 (11 8767511424904658201454890531) (C 89))

by ppmpqs (Tomabechi, Ver2.6)
(41 767 (1931921 2871065043172423 3396363779765783019855878575104921278545647871) (P 49))
(41 909 (821 18287 3049470367 1518732114209 244615609310795304154530761353100321) (P 55))
(41 976 (83 283591922112322322645306093 15016012921799533135173363383036459) (P 58))
(132 210 (32852716550180471115255278285815619677) (P 56))
(132 222 (2113 21091325391558575769299848777023673723429) (P 51))
(132 543 (14389 9773149 25932511177 1059204692360445618720756278240574101403001) (P 46))

by snfs (Tomabechi, Ver1.1)
(41 552 (157277 1853890300733416051081668541625892285211045891229851) (P 54))


By Igor Schein (March 27, 2000)

(100 901 (101 401 196501 8916764092128951843689459701 6222324624836856715189888298458509301) (P 44))
(138 732 (42643 81460657440907 1519357699954789492891406431 17557043243561951741706531049) (P 53))


By Andy Steward (March 26, 2000)

by ECMfile2 (Ubasic - KIDA/steward)

(43 693 (54121604346659719 2536302036370054679258390288674687) (P 70))
(43 873 (11353 733213299554818171549 46113924011797241992185752815271) (P 67))

(47 404 (181421 505852729 6374116914917741590405116062293727011) (P 70))
(47 873 (2773196056267587094162882021) (P 108))

(61 509 (2441 2605189 3008263801 118114277438849872412081413) (P 118))

by PM1file (Ubasic - Steward)

(55 432 (11 2087416663861 10329410194794067333370758386901) (P 62))

by PPMPQS (Tomabechi)

(47 260 (26321 588674447486851359721 1251705897489863522403153794905595051389) (P 47))
(47 425 (57544169 2214742985280682240160275459 339024477107222486203671982109509) (P 54))

(49 852 (3137 1265279 35866173869 112834536845557171 13184818558099881569935358099410945489) (P 49))


Following data are transformed in the Cyclotomic form by Andy.

By Conrad Curry

(37 617 (223 282874208866371095869833902196308306033) (P 60))

(47 108 (659 7422608716709092555300865613922444029380857) (P 48))

By Nicolas Daminelli

(43 404 (1291 474119 2315704044319 10391894412230393781673832665171075944547) (P 49))

By Richard Brent

(43 463 (173 431 1305402483560336432381015011272118853) (P 71))

(47 467 (107904371296112724878570673929 678305068508062949122512002362273110362327) (P 52))

(53 163 (107 43889513 518065567 415881525478433860458043674378402941) (P 62))
(53 433 (3041401924411 661419182975563 1931264065573496553000082473841) (P 80))
(53 509 (107 74413 74731 8900010283677116819 550765340455160078537646171388349) (P 78))

(59 269 (77527 508960787 4090167229121329 3203327226420834649550231716649147 699660527835095459400667546829852869) (P 43))

(67 109 (2991005432194369 3296412882698629 23657039021543605553712713230111 300769820001773419578552841160525897) (P 37))

(71 92 (853 1279 23857 175032577175845297 4974904370700787649639655690659241909667549) (P 68))
(71 93 (571781609101421 65418869630268150712100771219961113494457) (P 83))

(119 441 (239 14281 44983 78541 2799538602198455356994757392557147 228981930777446745490310485965805923037 19822950076647947256661837016844167085154211713 456547149396215146316989552005017911648766803061935886988961) (P 61))

(43 385 (1979 3908768143371370435417 5279010915872634135204829128550034097923) (P 44))
(43 523 (947 7741 3846948642661751465437162070587 44899758226491909248181413081201) (P 46))
(43 953 (712339 23480839 343079038213 403003753664774657862235541703583) (P 68))

(47 787 (1223 2738503 2715825911 11115934669775671560440713173007) (P 84))

59,881,4418950180923698662966363
61,499,799436389954452544792733228852563
61,757,14870630683655423386257629

(63 439 (28905914109612078603324285300225018811) (P 58))

65,397,6377449652226614128368177161636015344732741361
65,491,3246607994999539562566712510180273488009991
65,659,429290473958175535100401891
65,673,278284483712600159185611093079923211171
67,139,23638082377174360644753377163439
67,139,12943184994719385320104910384076697
67,163,6201020518735103937898973044643
67,163,48447440113727727495992970544859
67,293,12769539150286017732831073
67,547,1410187819702027360347277
67,691,696904628600665890071549
67,719,40549647206759452348673
67,809,85810956388077709879901588257093

(69 293 (1381 4831 109849 9389397492074724709034000005522922941) (P 53))
(69 653 (1213573 4206925049909403856132656827934649) (P 85))
(69 857 (89622626613671563165450738411) (C 101))

71,149,153672559567156361009143
71,227,78483186554848034277802437505969
71,229,5430412486634424814545092533
71,457,1478914441632303993589
71,929,873859268883514608911543
73,131,132553124864164829627451822673
73,131,3425278634208608409328919368197389
73,151,4268803679210525960790449
73,293,603908965365789068429
73,463,9045227951117433134783
73,547,13072496470500424881773159
73,619,38295084174584757913
73,709,285731774547291409501
73,883,1269232451301504955586525287
73,907,1672674032536202805464027
73,941,7924174664572203276731689

(75 659 (151 7951 183451 453301 61071747651847765096261179191551) (P 64))

77,97,7901804462232554766805212666247463074397521
77,103,8803818977322000593221518413
77,113,39767554107471302341543713680051
77,179,2107151525728153793812771
77,257,3097766572320760573619
77,797,3432335352983592022121771
77,839,591209506142305065646093
77,947,4528971196674471567993589
77,971,22338308764312650628300923538784773
77,977,6202528435044353611747703
79,137,44312188393521543266974897
79,191,21171410850926677162090135405471
79,307,24086847346369178648489
79,409,2540375875658040835637
79,431,3079388046200909770813
79,443,23199982495904651016367219
79,557,7505927959251866740411
79,569,268254755094471433308287
79,659,414620721835985680819
79,673,34717364497414980259033
79,887,600074591603797678924747
79,967,925664877565264565821
81,263,756494969455238942814517
81,283,53895202972634616574552518176004890792194219
81,367,848677011316605827491087
81,521,10557175736448503044903
81,719,16751009658352319165377
81,823,55968302151516505995558541
81,853,1093473083183127520033

(82 631 (83 2592620556935984696344371462791 193194697651070842852839246872531279) (P 45))
(82 967 (83 90663907966880288841883 57984189322774378071004323813994633785774137) (P 51))

83,109,31891653475013551594511
83,113,319335269808562417381759
83,131,1751089121680626117446317
83,223,1517255560849219504628827
83,283,1243498384392964643772641
83,283,769874413018164485231
83,373,2923200201164615899
83,479,4603185080454736801583
83,577,1363257959938650713437
83,619,4224298128178819211980237
83,659,108814399108205588592913
83,673,1091977664921693173343
83,683,14618511271038745960091
83,787,2803298892540250609
83,941,6405256984267854630241
85,337,12600779755355521220662291146536555124117541
85,853,44967857628215560749838035131
85,883,139495310702580567491
87,277,88519837535501392983657989559511
87,349,166028461545902914244930648689801224462854623
87,443,3083590270436306259264736776676414237
87,661,10117982701536866856841
87,661,271271486570651116291569241
87,661,2702445701568734409304967905651
87,797,21363466599993404598343
88,983,4665263705966526190652769226033
89,103,186788101887834027543173
89,109,250127315524611451332517
89,409,18655999256060785318729
89,457,1183724891141193211729
89,523,9385035646397915299
89,647,36389005646914900787
91,113,112655811112872213660179161
91,317,1414239311921964022123721

(92 593 (7604264141 55280335321 2503246497291696983878876968732577) (P 68))

93,283,201674465942915607823
93,379,301008580929185297476425632716507
93,379,77185276794763814318700094921

(94 631 (134228821687699 1263065527738214832521 1229689062259390069220043102010573256821871) (P 52))
(94 691 (283 215499983 20633886285022966973465535406806587) (P 86))
(94 757 (136745617050346610780407) (P 110))
(94 809 (44360011 3922562847362514844826111) (P 102))
(94 983 (17203 64579 48922019 11838202838211637126522961) (P 96))

95,241,38424420192910494761
95,419,54932064110527606592521
97,109,94230466273024488051643
97,151,132175155844711821209
97,379,3243008760373161338477
97,397,134020486533002534256047

(98 499 (1667 546404944156567006843229118581302013) (P 75))
(98 503 (7 197 18719 2441724453725468085503590129727377 80295819444883903991134440939607889) (P 38))
(98 863 (911603697198002868468314809) (C 97))
(98 937 (7 95747 6839412470786334811532651 437099936035453236992597100812225335613154277) (P 50))
(98 941 (149157853076660118945556793) (P 99))
(98 953 (176597 313259778679705620644528031352213) (P 88))

99,78,3390601780704001313469870728529432067982022571
99,84,93427641669673979896042961119658551000444690249
99,103,185697886139927080538245825573
99,139,395530581555530208174129245473609
99,181,276960490440594982398083655001845579943
99,181,505946969922889113884237809

(100 757 (5 101 3504218701 1332462624707463640693343512423301) (P 70))

104,577,100371293881185255078436704809
104,823,3766635700592887820817548729
104,907,553745625945623659380980010263699547268697
104,907,1004145001445033699816634577
106,137,1697643654370502843177193825656989
106,821,18485377316130874070386361299679

(110 547 (11 135730321 1718923071025572604257530448325211) (P 68))
(110 991 (881 4199761282629472505221 4782211358046073356444245783831) (P 65))

112,337,18203913120698389946579745819119472817
112,503,3159634801305745688453594190209
112,587,39037158901730315039168989436113
116,191,5760035073014380901021
116,283,77758416553290540814831289130301
116,859,184455234160444666469
116,953,828951188649594979217
116,977,2038852175220236891117
118,487,20347623415157246619403
118,853,9281915252827117473821957
118,881,4626319573028565333013
118,929,426778133704744266853051477
122,191,2926980925470410909045003
122,241,12565979129151323837807
122,359,7408070261710148372789626457351917
122,479,7332363537273765189435214953283
124,523,218528044551983738548397
124,733,518120346806580955950197
124,773,6010250265925072337477833
124,809,3622676276182430334687243341
128,421,15293680267965152742960769
128,599,316589174794103198269441
128,937,1602406260118094508797569
130,199,6290541450692593539091469328422281
130,199,757207590542614913924953531841
130,569,15115779425107806331545209284543031
130,967,30507540191770595117108321131

(132 373 (661 106657 157499112590827729915742967313640683474811089) (P 51))

134,701,775867570389043325403983
134,997,13506589657308395156301697
136,127,848757976348533236071049
136,163,56469295421149428609228289
136,263,3478679069097689734951001
136,773,25308190632704466025457

(138 557 (829 3037 498117653789140293557722882021) (P 85))

140,283,6366076817544914538571821574829161
140,421,43318233705749247882502535664974200621
140,503,19988208650897867569967821
140,599,2384758891198612502724294531264221
140,947,1290484350104254124951741
142,31,1331988009281919919112231122509158475284430963251
142,92,342804550495340923660779873387527633842021
142,179,2209179445412981021147148647779
142,197,37549411933502262980652637
142,467,3079896185652486844133503913
142,647,17829539332960629738203801
142,911,155645508952063072467191687
144,379,1248871973348906222158071083984054212657
144,379,147708295411190274389711850049
144,577,15145162790950715126885857
144,593,3331615875712702354405419820993
144,751,73655911148697447025236282195409
146,90,30860518545302964051298648241719000693
146,103,73026805131078944933082431
146,197,530168809432576512409
146,433,9281957223125241604511
146,443,198322666029463570457573
146,599,231424823031196727687
146,673,561342137124079543307
146,677,138564399061151828304809
146,743,1089409464767132681
146,853,9434526703353303701497
146,859,1801320711128874507035963
146,863,786153078353252444213
146,881,2933284113988981601027239
146,983,629119704842440420297519
148,92,11586965661371993852473684535529588537700394113
148,103,3201725300087763397952406021401
148,113,547658034417440547947629
148,197,145313642697560917590133
148,227,336837029186577681183932127701
148,271,188476901053733027729261
148,281,9910486216059805195429
148,311,18472676570573265485095621
148,487,178819129046018939573
148,659,1766001670480279441334243597
148,967,139973925243983191943081

(150 431 (151 31664811159057810951349843762651) (P 72))
(150 953 (243644190281468593706669888251) (P 90))
(150 977 (151 653629332001 6876673211635917648360152671749601) (P 72))

152,101,2358333664302949024242229656654985225827241
152,103,108179938341337815226223449143961
152,431,9809479632558869664497
152,467,13402684302466973205953
152,503,740032538274683513
152,563,576937985427932651158081
152,719,936798351786569541793
152,733,25731860019549786839449
152,757,4844137623135489586751201
152,853,49869006431928602261257
152,881,16339665822711876377
152,937,10975886433148223868937
154,151,5845771924861380250849612366481
154,151,20673472946912638165291163891451593
154,173,8829555173166134638203421890827
154,239,19931943974327525795042348108900753
154,277,175427395122760386866082399193
154,421,9267215667959514566806155883
154,773,2579528697533568181068823
154,881,11863236411426153955741
156,409,148074417149806676484926263865531233
156,557,33086098499001011574540628333669
156,937,385349299752123553204489
158,179,8911197555776601815321369
158,331,105138701320354541508667
158,347,537771934929328829
158,433,16650666640883152363
158,701,287809914169088906279
158,709,527233456811191076627
158,863,802843722393019963646041
158,883,30089206364192900397107473
158,887,10405292343465340338563837
158,991,539462866274626599611
160,157,3958044651279459902401
160,257,4213850194983883745653121
160,757,8233955213413962597678401
160,757,2540292992353286500923259295521
160,941,10808381896188340441921
162,509,3329553722929792155649
162,571,500523903579605479044004766971
162,607,680440750329499460299
162,823,2770827156537523744681
164,109,895887813158530822162549
164,137,2657955102934719630901
164,401,93640335550832669986417
164,631,37918086044293796070101
166,151,120952920001378439187757
166,193,2612077586315115173713
166,239,18591722213439558971
166,307,2313776445760983455423
166,313,2273383802306645973240467
166,317,123325193936955764409011
166,331,2503047043581723719
166,337,41378538351630602522129
166,433,368009155837079358795451
166,571,681722388405253851059
166,659,63414632971339484053
166,757,3195826191374594912863723
166,859,2301499502993280721
166,859,1271287931531147262181
166,881,405800428281347308757
166,883,12767683398319729788149
166,887,188653877084483879912443
166,919,926077812362152439533
168,359,6968642878558070894301011470801
170,107,46651973852199683913883121
170,151,8611397820669902815861
170,881,869975024566040359568051
172,113,1366062119353154863907753
172,241,3458990860236204192593
172,463,55501642211923957108153
172,491,2243583840721632281691872953
172,613,37678706581924697566237
172,761,47881013004733828397
172,839,163990364751851100653261
172,853,1318261648784117967323586649114809941
172,859,2516466864090104369
172,907,88396986258522801624341
172,907,8473069079020217373448141
174,811,72456221777198409956008393
174,821,181766724810782683242283
176,149,222657895890686057015281
176,149,8706922404013233576979793
176,337,213397650462326937983053393
176,461,6424297420765786998833
176,739,5184657609406667962417
178,57,2192157171641992171752715420617497503
178,307,17030161386462092226286811
178,311,571611949969454803571359
178,431,93805929930501783702469
178,661,968284050078412951861
180,179,4422971135046733895598034161961
180,269,141514840761546658424488090051778602201
182,131,1390619460301428385393
182,173,34353174725159945131387
182,199,10531465275539628660862987
182,277,5243360967854856159221819
182,359,44885602169032105946921
182,619,2344213598933938183271
184,113,350868162860139707111993
184,191,14067543982773720747574856137
184,283,967161057622309097
184,353,28009216087163122817
184,401,3639630209576330369
184,421,1459218330806111608129
184,449,68427658249324204093369
184,509,740319658379348411513
186,167,24267239180979060691251537772951
186,487,200196954427197377639749579
186,503,4124653464003609686557
188,127,2940308751629974797926082259729
188,131,1916573278092971757520021
190,149,6081636045253973069479181
190,257,21173752384753248811
190,263,226354717784956652531
190,389,864850582276446841
190,439,1861868063682802863341
190,479,1884398879515569246990791
192,283,21544409165345213402113
194,103,2143028018279919742382907557
194,113,35617487874683499857
194,149,119319319088788176949
194,157,14081897990815926113341
194,233,3043785790216187364417791
194,313,28896960648726649274594983
196,151,2204999406684678651881
196,181,1008653437465863460181
196,379,37480491362900446031333849
198,77,45495610700908433529819589513080984946748161
198,93,1046593170659606668874902551966945873371864086207782336319
198,229,13571922359583165173702920961599
200,139,16045918603813165601
200,149,79291728607003349401
200,149,1125667850489632675201
200,293,74864906875899245274170201
208,19,11921717317891576212964238697496225698902188241
216,41,2401875630912132869922741680893871713
216,50,3179127994551850121335614108443093948179642398199777
216,56,77269422265903079004924816398089280538908780827441
216,65,82752024826980784879415044606474973792900051662547281
216,66,15915530970669877644827794199017137485065417
216,67,161278104573929166365840295552095998416579961268302489
238,21,456547149396215146316989552005017911648766803061935886988961
246,33,56308049672325192318828400932741877001053
280,22,3749932998019858488545281
300,26,38891338979941503242814958501
336,18,44363539957177959540736657058216966536919376666199888513

March 26, 2000

By Tetsuya Kobayashi ("Hamayan") (March 25, 2000)

(94 315 (283 246857608779558563 10789244729957810724989179 492082128711166212181525319924861) (P 38))
(94 435 (577067 36605508226979 4199849978779433436043 202127639228982505814208328500024330809) (P 43))
(94 514 (1566093746844960819989) (P 104))
(94 532 (423268277 96153131730616109 486309503000794375785899) (P 77))
(94 555 (26278829 63953885505108739873) (C 100))
(94 567 (1787 12503 892224272168265913) (C 102))
(94 577 (719180747723213726633791333) (C 101))


By Yasunobu Torii (March 25, 2000)

by SNFS

(108 846 (26893 156817 3185034937570995883830164347129297) (P 63))
(108 894 (1792072621 2103719889416977135993203025775850304421317) (P 55))


By Tetsuya Kobayashi ("Hamayan") (March 24, 2000)

(69 996 (277 197933539 7049014214839 9370955120612125517733114007 3417545444304016989493308145932493) (P 47))
(92 635 (1560655249 762489151605193 16174297852735454261 5947708336039519470910652627953023089) (P 44))
(94 185 (1787 246187 484261158368276263100933) (P 72))
(94 316 (283 2782019485181 11787025592167865404559 3239704610219129586966037 67311135266493150381689437) (P 28))
(94 321 (3304853 72968629 203648275866932609239169) (P 78))
(94 371 (76793677 320864448248606146852319079887) (P 85))
(94 396 (5860243 1908245497 3993659561 60083737654546926533) (P 75))
(94 417 (4513 73133 1643497 79811676473 2601107753547350053 389094399214918812240700991172211) (P 44))
(94 468 (113585148862669114901) (C 103))
(94 488 (283 8837 79697057721365741407) (P 98))
(94 498 (237257 1043213 112762205969106359 24984283661719378411382633 347970861750417856167643726951699) (P 38))

March 24, 2000

By Igor Schein (March 22, 2000)

(75 368 (28351432744955052917101 31024375648726133264122990544551) (P 49))
(82 565 (83 60888414272907520140752630827 77549234426502456481321817977) (P 51))
(150 950 (180231348780368251 1539540673197116710914601 264780498669213525765943801) (P 52))


By Tetsuya Kobayashi ("Hamayan") (March 22, 2000)

(69 336 (1381 231289 291043 10726879 9244476067 3981974726819646327573313417) (P 53))
(69 413 (277 4969 7353021157 2995913335551363811 85217460632597833386697992511297) (P 49))
(94 259 (1223 1216432238248471 10812930790624982821) (P 74))
(94 262 (11939 325399649775698906483) (C 87))
(94 274 (2046927997505707 40690060784411836351) (P 78))
(94 327 (30518952929 22314772065203 2800026855232750751) (P 74))
(94 345 (22279 355697 1174518164611518856621) (P 86))
(94 366 (121138574606611368589261) (P 95))

March 22, 2000

By Tetsuya IZU (March 21, 2000)

by ecm
(132 678 (747428969379442681 21113552327846584043998107850544353) (P 62))

by ecm (Izu, Ver A.22)
(55 392 (1476641 4503337060688015177502601) (P 73))
(55 621 (11 271854242288329529639988761) (P 85))
(55 687 (11 1568917901 13338839042981 2266337306109054871573511291) (P 63))

by ppmpqs (Tomabechi, Ver2.6)
(132 522 (397 67057 251197 335574361 86096211908244195901703577173949553) (P 53))

by snfs (Tomabechi, Ver1.1)
(41 597 (83 1922935270854033226407951251449540330302621735742231) (P 58))
(41 600 (1443613993800239705797283834654878729915320741106033) (P 60))


By Andy Steward (March 19, 2000)

by ECMfile2 (Ubasic - KIDA/steward)

(43 471 (2753 1587389 1217012905804171248979982431) (P 76))
(43 575 (431 2753 117563 13585841482217 4779674782221080526716906560272319) (P 58))
(43 936 (29286331813 1006358484469385601580711) (P 91))
(43 964 (5910523 60966863403983296643423219) (C 93))

(47 677 (283 45076764172628712132761819478740951939239) (P 88))

(49 471 (2647 39213623 1473115788453149 24166124295256745496252223) (P 61))

by PPMPQS (Tomabechi)

(43 837 (42829 12381851 20679081694390389791133091 481144400464996865565676239067877807) (P 51))

(49 518 (491 3323867 465074681 21068121047 1880884248006735972306836627675007485371) (P 47))


By Igor Schein (March 20, 2000)

(49 795 (4019 278909 9699561761 66519818681 94178640137 40740000117220133568912692035156657) (P 47))
(150 536 (1801 13539260749953743093901751 31428667173716101345249731011009823751) (P 44))


By Satoshi Tomabechi (March 20, 2000)

by snfs v1.4
(41 859 (83 269844403867219622196315286197847808239) (P 78))

March 21, 2000

By Tetsuya Kobayashi ("Hamayan") (March 20, 2000)

(86 696 (173 3613 20430763 101403561041380337494325569 39233090021077696414269299091739320437) (P 43))
(98 274 (2895983811406711099999 2512497983055995149835475298549) (P 51))
(94 273 (20023 53893326226732372771 349800553188786947761) (P 68))

March 20, 2000

By Masaki UKAI (March 19, 2000)

GMP-ECM 4c
(150 667 (151 4880401 250878272663678851 45012497618559585041384851) (P 62))
(150 950 (180231348780368251 1539540673197116710914601) (C 78))

PPMPQS 2.6
(126 703 (39354253597 2517774829925287330312956492157667017) (P 56))

March 18, 2000

By Tetsuya Kobayashi ("Hamayan") (March 18, 2000)

(86 273 (28293743 162357779710981 388948210349617346639509) (P 58))
(94 153 (5171 12658516610339036506257157) (P 72))
(94 154 (200154150839 94475274245488892144282514700549) (P 58))
(94 156 (283 358997134207 269625809252787769455296410931701477) (P 52))
(94 403 (283 941 10529 372598431194926660621 17510859390572484321104509) (P 65))
(94 832 (451859 363449265158583407 38621919510388551095340469 53138477221215700945694501) (P 60))


By Yasunobu Torii (March 17, 2000)

by SNFS

(108 866 (109 1297 14902070225011471591801391838828242262793393) (P 58))
(108 868 (89160632927396940674152237231388910430228357) (P 62))

March 17, 2000

By Satoshi Tomabechi (March 16, 2000)

by ecm(+ppmpqs)
(100 339 (11744801 177890335501 14673887932940745773618508901) (P 55))
(100 384 (4801 536101 7127391420996218350756865701 3546162875266748189837163503701) (P 36))

by snfs v1.4
(82 296 (83 739 92333 515428873191543122624542711) (P 63))
(82 908 (10716296871397516879728574488802824250384473940691) (P 70))

March 16, 2000

By Tetsuya IZU (March 14, 2000)

by ecm
(132 875 (3052633 66813363547807889731753 736227160975685993787465203869) (P 59))

by ppmpqs (Tomabechi, Ver2.6)
(41 861 (83 3715093 3476880266611137515267 5241141758967040913133147584479352653785019) (P 45))
(41 936 (83 76275680638748296063703259413 217333331396252330304381095676783149021) (P 50))
(41 964 (83 37557055522701376034197272859 21948107539866424115468250745950383217773969) (P 46))
(132 209 (144222454358380678075022790839629) (P 61))
(132 560 (189048456701323354897873 963626899395394459099372538413716711985849) (P 45))
(132 865 (397 3169 870037741 18735131511236053 14394505374191535090245475450493) (P 56))

by snfs (Tomabechi, Ver1.1)
(41 471 (1559 181377569629028236691806348420903628108123541151) (P 57))
(41 575 (41 83 5987 29186794270259385630253134785037188510313417497) (P 57))

March 14, 2000

By Igor Schein (March 13, 2000)

(75 670 (222151 527346151 595045207219824382722903001 1216995867343436235176709782758951) (P 40))
(100 843 (5 101 540876701 3982035004860814763232100601 450345447144131503011113079737261510501) (P 40))
(110 505 (331 1828531 4732835267684453051 13549750882133192429164498961) (P 53))
(110 513 (11 1871 73760611 9468368981512541 186819454338797927531385554552229528271) (P 42))
(110 920 (11 5171 7481 1983301 371029439213856969718811 953088152675376550374905116601) (P 51))
(150 502 (240151 3803251 8842036147932601 1967420974387178896316049760755928410451) (P 41))


By Tetsuya Kobayashi ("Hamayan") (March 13, 2000)

(94 119 (733430099079725258704942513) (P 69))
(94 120 (283 27919 954691363605429041267033 5327524618354001575103528728019) (P 35))
(94 135 (365903800285759223303 350948224039994981134088118277562057) (P 42))
(94 145 (659 941 189757065102769674708376587955151904932171) (P 53))
(94 147 (2539 39662898550158870471540240562738861) (P 62))
(94 502 (283 2539 6308999 2084580928841 30184763805863 3444112812675604039 48956352029591976798121) (P 45))


By Andy Steward (March 12, 2000)

by ECMfile2 (Ubasic - KIDA/steward)

(47 270 (2633 359598869092921979405530605997) (P 79))
(47 432 (5284117 6803717469341619961 41467083436794124679) (P 77))

(49 492 (5407249 193274230110995069 389701108368143920224086006567) (P 60))

by PPMPQS (Tomabechi)

(49 339 (197 7351 193649 2115555107 333857619900595338797092911145443401) (P 50))


By me (Hisanori Mishima) (March 13, 2000)

by GMP-ECM 3b (B1=7000000)

(126 985 (127 27093557090438111419330290956893) (P 75))

March 13, 2000

By Masaki UKAI (March 12, 2000)

(100 901 (101 401 196501 8916764092128951843689459701) (C 81))
(100 966 (893724265150145054354660372401) (P 90))

(110 689 (11 331 2953937433701 32133336254595400885216801612543372061) (P 60))

(82 565 (83 60888414272907520140752630827) (C 80))
(82 825 (4110661 27552338101254863492153 4913793815790446347262785919) (P 60))

(88 202 (89 8232332343304517560518473 15664391151348139403449489) (P 41))

March 11, 2000

By Yasunobu Torii (March 11, 2000)

by SNFS
(108 842 (109 234275258233 538775289271254285872681408161877989) (P 57))
(108 863 (240801179264317146263724555575746849169861793833893) (P 56))
(108 865 (473605625424263954553606994827975613) (P 71))


By me (Hisanori Mishima) (March 10, 2000)

by GMP-ECM 3b (B1=7000000)
(126 891 (23389461143370677577265852464465643) (P 72))


By Masaki UKAI (March 06, 2000)

by ECM (GMP-ECM 4c)
(142 712 (154949634830467896330154048457058676058918587) (P 156))


By Tetsuya IZU (March 06, 2000)

by ecm
(132 947 (1563277 3483964001969276426188583362098073) (C 80))

by ppmpqs (Tomabechi, Ver2.6)
(41 616 (41 20526648805214156192351 7602553754003363984551909640023774927281617) (P 45))
(41 704 (83 174907 416346470095808711 565033323393395739031378967449416017201671) (P 48))
(132 525 (687457 335627840244764101 2400707586626839288675225648953434015403697) (P 44))
(132 843 (1453 894301 64636177 42111215060641 56778134830751748994702826177060406945577) (P 46))
(132 947 (1563277 3483964001969276426188583362098073 914792705570621681332390694155807177) (P 44))

by snfs (Tomabechi, Ver1.1)
(41 432 (83 1559 71736528301570347947345798722833182771700337) (P 57))


By Igor Schein (March 05, 2000)

(82 535 (503765140651 61333933588812167 430376703027286224102861427052966197861) (P 43))
(88 937 (6337 372655537 41285420751565467504649513 300035016482664877753071443813873) (P 49))
(110 247 (331 1561507171181 226887569173343853497063519760990871) (P 46))


By Andy Steward (March 05, 2000)

by ECMfile2 (Ubasic - KIDA/steward)
(47 839 (21988104759090494373659929570415047) (C 101))

(59 159 (1063 58411 65609 729419039117772387541 1374779086428344048311543909) (P 68))

(71 106 (6352202299 99396220950877 4973033590041315858406783) (C 94))

by PPMPQS (Tomabechi)
(43 430 (173 197016400591096871602903 701618726762072922221764310477329) (P 53))
(43 460 (657557 8380271 58466081226887 213316317900092605166177663543277672675733) (P 44))

(47 252 (453194869 51559088747586253 327560963534987447771149295123) (P 56))


By Nicolas Daminelli (March 05, 2000)

(47 118 (941 243372762844375554817443605932842041) (P 57))


By Masaki UKAI (March 05, 2000)

(100 483 (5 41801 1548957423297050828472607425101) (P 72))
(100 843 (5 101 540876701 3982035004860814763232100601) (C 78))

(132 507 (10015633 8034187129 24652050429731662882908012931729) (P 60))

(150 260 (151 601 10501 20101 505203092381557436683259101) (P 57))
(150 711 (406155601 206510152837157101 3796609421838556450098001) (P 64))
(150 917 (8086770344329986641008573098178252351) (P 82))
(150 932 (1353301 98431829394889529714926501) (P 87))

(75 670 (222151 527346151 595045207219824382722903001) (C 73))


By Tetsuya Kobayashi ("Hamayan") (March 05, 2000)

(94 108 (283 7333 41545663008001461603059353610713660781719) (P 47))
(94 115 (283 127899891124219371793127551 62879857217350440713914506737) (P 38))
(94 116 (188980594284201821611873176264566641843834469) (P 51))
(94 117 (15511 395610835286851701768479 2125016444710334114539963957361) (P 38))
(94 360 (659 8837 42315334409 239941001531051 3730700925943911187432958096687) (P 56))

March 05, 2000

By Yasunobu Torii.
(March 03, 2000)

by SNFS

(108 838 (8113326939940502901494374262137234222830577) (P 63))
(108 860 (136039242112944337989879255725879346301) (P 68))

March 02, 2000

By me (Hisanori Mishima).
(March 01, 2000)

GMP-ECM 3b (B1=7000000)

(114 426 (19 96531598541937052722453398654179509631) (P 56))
(114 542 (571 7322293849008932461436054114467) (P 65))

March 01, 2000

By Igor Schein.
(February 29, 2000)

(82 267 (83 376709 624620077 668671673592424639076883230101546111) (P 45))
(82 522 (83 339071 290973229 5570877218429 1035582084691416981517391730540289) (P 48))
(75 272 (151 646333515617075715170101 16849807536109512885582361951) (P 44))

By Tetsuya Kobayashi ("Hamayan").
(February 29, 2000)

(94 184 (1223 2653034589928039 603702013789818142024988543446662907) (P 50))
(94 203 (134327 48601009 148196171 11801630845525447046531) (P 64))
(94 264 (2139817 904016404123177787137 615999715169085526719697 926739811199628386004443083) (P 34))

By Tetsuya IZU.
(February 29, 2000)

by ecm
(132 549 (6997 12404232228961 89793084868126494968049105038761) (P 61))

by ppmpqs (Tomabechi, Ver2.6)
(132 202 (5791195131917073532372966500357721) (P 59))
(132 387 (4241689 88007041 1133952603490812865968429962167849330850569) (P 47))
(132 496 (18481 4957906975618081 1974073329118452508702632359148073) (P 55))

February 29, 2000

By Satoshi Tomabechi.
(February 28, 2000)

by snfs V1.2
(82 842 (906348601791195661580874839751377739852942500091684944701) (P 61))


By Andy Steward (February 27, 2000)

by ECMfile2 (Ubasic - KIDA/steward)

(47 287 (283 5171 12616117 960401363330335982661653 133224108688346336835905053395503) (P 44))

(59 488 (16965070768651 4138863847331741705233051 46868914939296071835845016883) (C 90))
(59 564 (709 3659 96074415664763412426107) (P 131))

by PPMPQS (Tomabechi)

(43 287 (4817 478694223060817 4331919984862424275902186582451597392833) (P 46))
(43 551 (95891 26503169713 629283753115889 793797689433443509141960039307) (P 56))

(49 970 (197 16661 3390389166067 2828146948274060284873 617059290351736426162501386914893928131) (P 47))


By Nicolas Daminelli

(43 749 (173 6967 190147 187885321812782137 35082471745081177323995532596849) (P 61))

(47 507 (1129 10247 1658823068387 7008712358663 526043064813321951578497369061159) (P 60))
(47 703 (659 173431 37954076514139 37255883407111949 1343087110671227218011678294027601559) (P 57))

(53 821 (2333 933649 1734882497 12334133685077 27769573587400919 758148565249595991530836809884181712029493) (P 62))

February 28, 2000

By Satoshi Tomabechi.
(February 27, 2000)

by snfs V1.2
(100 372 (5 35287595608126103627871697034101) (P 71))
(100 409 (63217810898647550968379224525901) (P 73))
(100 670 (1053379850158855813989920947305409333501) (P 75))
(82 646 (20619103804734746656293649254913) (P 82)) already found (by himself)

February 26, 2000

By Masaki UKAI.
(February 25, 2000)

(110 638 (313890281 2118578089064743906253036380031) (P 74))

(75 232 (118051 7141571778991610508450520351) (P 62))
(75 272 (151 646333515617075715170101) (C 72))
(75 368 (28351432744955052917101) (C 81))

(82 901 (41 83 234029 745358061807277908063320409879638497) (P 74)) already found
(82 928 (83 635361339536496261384187) (P 93))

(88 940 (19009 791209 4483420393 4364162826761 58249416020858199568201) (P 64))

February 24, 2000

By Igor Schein.
(February 22, 2000)

(75 539 (7271658151 5799914766814601101 1427282376050089174670648982869471468701) (P 42))
(75 744 (5101 21001 189741151 3429080471345855701 217301672369143378458662251) (P 54))
(82 228 (83 907783991197 13265225887306192534395258918406987) (P 47))

February 23, 2000

By Tetsuya Kobayashi ("Hamayan").
(February 22, 2000)

by PPMPQS

(94 136 (659 39659390447 36190264532780217948729439) (P 60))
(94 669 (127747 352955734022571129649 652786532107743917437 6375661495054159562564114724681812478863) (P 44))
(94 943 (144667 223439 736679 9606286304158751 323647917263849624009 771004905505918245315158907709296311921167) (P 43))

By Tetsuya IZU.
(February 22, 2000)

by ecm
(132 416 (20522130466670977 1028398156075161587586188225821) (P 59))

by ppmpqs (Tomabechi, Ver2.6)
(132 290 (663961 10590361 716248230802917056965450114705189) (P 53))

by snfs (Tomabechi, Ver1.2)
(41 565 (131957456551 249454959663336248874590945273694166541) (P 61))
(41 588 (83 11317 7037159 45116306382512763265225498412584938988465643) (P 56))
(41 669 (121645872026985379 1729114720775762312203568551956214435271) (P 57))

February 22, 2000

By Yasunobu Torii.
(February 12, 2000)

by SNFS

(108 836 (541 1650995021798631505424305696100080789) (P 67))


By Andy Steward (February 20, 2000)

by ECMfile2 (Ubasic - KIDA/steward)

(43 987 (50053 2847203 1358974309373879383200945326311) (P 85))

(47 259 (142291843 171005500513176773 185807150915026966151 1258863911006395739609273) (P 42))
(47 987 (941 272507 264470096699 14990636338262120455957) (P 96))

(53 883 (107 65024111 1352641379918320825843 290641086926379089374043 15532810312697322003431197) (P 74))
(53 923 (132399196678759603 204283958481396655631593) (C 114))

by PPMPQS (Tomabechi)

(43 259 (43 7741 93684679813 2545563175105704026088961986572876143) (P 49))

(47 237 (22279 49633 3863765893551931 2016212665602125895462545638369382779231) (P 46))


By Nicolas Daminelli

(47 970 (1693 30462769 1877062783 378968429409569 5939066162740663 88514253290479106908905805523656570703) (P 50))

(49 147 (454574385254374803486760801640318796289) (P 53))

February 21, 2000

By Igor Schein.
(February 18, 2000)

(55 968 (22039711321 3348457087361 6844403963962511 4029485617858539943593595433471) (P 51))
(75 237 (92551 1650758101 39407024166792218999066119501) (P 53))
(94 395 (22845202559458952117 157524329573206152121 1823047249108316927006787834271) (P 50)) (already factored)

February 19, 2000

By Tetsuya Kobayashi ("Hamayan").
(February 16, 2000)

by PPMPQS

(94 180 (9008303 10466875840121 1187827267930755413047967 1026931626903107206664591941) (P 33))
(94 198 (659 941 36044961718153363 28119100093313086661641163) (P 58))
(94 415 (283 9871 430427 848492129 15744616728878819 9619893458366478305880202063784207) (P 50))

Errata from "Hamayan" and Andy Steward

(55 519 (1042849501 4061102531030923951 64149558129413179631246150661472508861) (P 44))
(55 968 (22039711321 3348457087361 6844403963962511 61309069292743496543991801690339131) (P 47))

should be:

(55 519 (1042849501 4061102531030923951 61309069292743496543991801690339131) (P 47))
(55 968 (22039711321 3348457087361 6844403963962511) (C 81))

February 16, 2000

By Igor Schein.
(February 14, 2000)

(55 519 (1042849501 4061102531030923951 64149558129413179631246150661472508861) (P 44))
(55 968 (22039711321 3348457087361 6844403963962511 61309069292743496543991801690339131) (P 47))

February 14, 2000

By Andy Steward (February 13, 2000)

by ECMfile2 (Ubasic - KIDA/steward)

(43 813 (40459996537 9752823191067241772426915167) (P 84))

(47 480 (941 2069 2351 45569603 28997739026049310752615858783728441867) (P 69))

(49 408 (22031479 443981759314067790115215343) (P 76))
(49 480 (16073 47109292920912620470129) (P 86))

(53 408 (107 2969 5146619 2731375883 44347245018338581833091) (C 92))
(53 480 (107 1946578171 795862122408278736186180331) (C 102))
(53 672 (107 179471047753 13132277099707 5206571540084561 10233559840504486751 10617699432974514269072081 187100122311568259312895661) (P 35))

(67 103 (2011 2824721 2986645633827767432534353) (C 99))

by PPMPQS (Tomabechi)

(43 480 (4817 353429299 6811047218069981 18962498520610012039437937518243177571) (P 48))

(47 424 (47 283 2633 429683047501 261804787937501359 23876067719411773795169095531518345544801) (P 44))


By Nicolas Daminelli

(43 408 (104147 35064085169881 124175452271126898643974129105601) (P 59))

February 14, 2000

By Masaki UKAI.
(February 13, 2000)

GMP-ECM 4c
(82 901 (41 83 234029 745358061807277908063320409879638497) (P 74))

PPMPQS 2.6
(126 955 (7010328571860223 380236972912101074969997351644379139385851) (P 50))

February 13, 2000

By Yasunobu Torii.
(February 12, 2000)

by NFS

(108 804 (284149 16366647201108168935160742079196779419947483455509) (P 50))
(108 810 (109 57781 86509 16334087362740581673034708186515302215621) (P 53))

February 10, 2000

By Igor Schein.
(February 08, 2000)

(55 423 (11 82721 1907122031775175601 64149558129413179631246150661472508861) (P 44))

February 09, 2000

By "Hamayan".
(February 08, 2000)

(94 105 (2633 34386047 8381886597102523607771008104387826009) (P 46))
(94 150 (5641 6299 44839 3304759 16890812172148465735205051) (P 57))
(94 511 (13431191 1542097739779732271 1704423697231122677 150094427010722315916495442066337) (P 49))
(94 600 (941 825697 616627499 179317785112303 276093244621739 2722156411144872832311336025254393577) (P 45))
(94 639 (941 1153878142097 555985506256723 533083776509575129 7729677898017042065807627) (P 57))

By Igor Schein.
(February 07, 2000)

(138 146 (829 5659 554043643 10669800813322686103) (P 61))

By Satoshi Tomabechi.
(February 07, 2000)

by snfs Ver 1.2
(82 287 (25935852108534739954038827974678070895839) (P 58))
(82 646 (20619103804734746656293649254913) (P 82))

February 08, 2000

By Tetsuya IZU.
(February 07, 2000)

by ecm

(132 771 (3301 129093944311923078436782901 407050155697645569892272277335117125029) (P 48))
(132 787 (533517162461317 330480130718811310774131536045677) (C 69))
(132 929 (8053 387109790583763675186602005071801) (P 83))


by ppmpqs (Tomabechi, Ver2.6)

(132 236 (29533681 561055155260035925284173598135215049993) (P 49))
(132 312 (97549 8992897 6221462694991818042231748857989869) (P 55))
(132 348 (879103357920481 786071963607847171455405720241) (P 57))
(132 415 (4093 1057194850141 1076721595318807498401729218451285193) (P 54))
(132 736 (239722785780382799528350137433 1062724237595339007870115374765733) (P 53))
(132 787 (533517162461317 330480130718811310774131536045677 11225439566307526264556215983412201) (P 35))


Erratum from Andy Steward

You state (from Igor Schein):
(138 146 (829 5659 554043643 728539032870829280183244061) (P 61))

728539032870829280183244061 does not divide M(138,146)
this factor is correctly given in the previous line as dividing M(92,166).

So the result was recovered as follows,
(138 146 (829 5659 554043643) (C 80))

By Andy Steward (February 06, 2000)

by ECMfile2 (Ubasic - KIDA/steward)

(47 590 (1693 8273 4091051174135793540503) (P 99))

(49 362 (60761 10535020199809540371570320569) (P 75))

(59 349 (1476166195298831727368597 289720523201308443953488771) (P 97))
(59 351 (525809 3948163 117763406195152082060173) (C 113))

by PPMPQS (Tomabechi)

(47 362 (527807693091857 11317630989952849711 37760849348589590274842918605451794434253) (P 44))

(55 497 (661 316471 849311 311380899611 91852337276403422798659031727499136111) (P 45))

February 07, 2000

By Masaki UKAI.
(February 06, 2000)

(110 533 (5281 3460502589175721 907723957090014149581) (P 69))

(150 339 (6502695710047818312185872051) (P 74))
(150 356 (151 1951 1372051 7796401 8803215461688228696966971851) (P 56))
(150 618 (151 4170301 205310701 4492246201 2651925961790735712958852351) (P 58))

(55 984 (11 13751 3465881 12249821 45272636717487800812135133079991) (P 70))

(75 880 (34214405837205867410682560551) (C 90))

(82 407 (120952737161 889724401894349686266587) (P 70))
(88 596 (89 3257 11617 35952577 1274703657569 19876642810262988948536265154393) (P 51))

(126 669 (189196880923 214477928447353472694477975270357625351993) (P 50))


By Igor Schein.
(February 05, 2000)

(86 837 (6033167735201 7749580706333 774768476663404907 423240996723518624613917848633766126627) (P 41))
(98 819 (31282679 155838931874123 3949790615780088705193 1745715741586243463410420623277) (P 49))
(92 166 (12973 60718363847069 728539032870829280183244061) (P 53))
(138 146 (829 5659 554043643 728539032870829280183244061) (P 61))
(94 395 (22845202559458952117 157524329573206152121 1823047249108316927006787834271) (P 50)) (already factored)

February 06, 2000

By "Hamayan".
(February 04, 2000)

by ppmpqs

(94 395 (22845202559458952117 157524329573206152121 1823047249108316927006787834271) (P 50))

February 04, 2000

By Aiichi Yamasaki.
(February 03, 2000)

by ppmpqs(ubasic)

(63 635 (114906331 20182449755161185540116372034903625069) (P 56))
(108 921 (2053 1155709 114412609 3507088119529671865586334782581826401) (P 53))
(126 722 (379 1009 2521 15121 116126048691648827698773657126548509042987) (P 49))

by GMP-ECM4c

(63 743 (478161708121759182176637551853123137263) (P 65)) (already factored)
(63 905 (30241 100927 1698002079115635877433265162386284807) (P 61))

by snfs(ubasic)

(37 948 (223 897473 191716776581667564266154463760914227427686268259) (P 52))
(37 590 (1174603 17500123105081219510008104004940143751307) (P 54))

February 02, 2000

Mr. Izu announced that today (February 02, 2000) is a historical day.
Because all digits are even number.
Last time was August 28, 888.
And odd number case, Last time was November 19, 1999,
next is January 1, 3111 !

I (Hisanori Mishima) was born in 1961 and this year is special 
because the year's digits are symmetric by pi-rotation.
(I don't know how to express it in English, but this seems to be understandable.)
Before 1961, 1881 was symmetric, and next time is 6009 !


By Tetsuya IZU.
(February 01, 2000)

by ppmpqs (Tomabechi, Ver2.6)

(132 221 (4596373 91126094369354819301115105717861) (P 56))
(132 831 (21940381 16521601141 62786791778102569 11300041129962752782496077323948349) (P 49))
(132 862 (397 435667717 4560281375377409373819733 16618689535277816558488917028588397264593) (P 42))
(132 954 (1321 73108069 57428643236580189858241 786341985372373338207129452826098115409) (P 47))


By Igor Schein.
(January 31, 2000)

(86 126 (173 6407431 265643928945105570334117) (P 56))
(86 261 (173 4464949 4593089277187 67393467227121680479665634489979497837) (P 43))


By Andy Steward (January 30, 2000)

by ECMfile2 (Ubasic - KIDA/steward)

(43 387 (621373850897 242674084114794936776085839593) (P 68))
(43 476 (613841325332645997803269892851) (P 83))
(43 772 (1851667 16518120087214132073017783 25099160202568662283716535763699) (P 59))
(43 886 (431 176368851713521 15570443211556589 282837338028132612993840175757) (P 62))

(47 387 (217532461655508328019 7136467281139860867996968437) (P 71))
(47 564 (283 4231 11901811 22519726832749423969440719314130407) (P 80))

(49 605 (966869 615058624024947121114649) (C 88))

(53 982 (107 743 5407 48534433 189160720863589187784373669 953274951381189831280293479) (P 87))

by PPMPQS (Tomabechi)

(49 803 (9261420323 16684699845305639202292973849 1293244828491753092205913126724317) (P 51))

(59 341 (827 51803 2784792905629843 46839686061387917350069 861190256692434734388559 690133948146471380842198278269297029) (P 42))

By Nicolas Daminelli

(41 912 (16729 153259 1452631 37838647339920149 303834958585731155420013659156459249309) (P 48))

(43 605 (1643760649474533287158719135739 13265940173755261443884367948771634621) (P 50))
(43 718 (2237 940669 20364457 105502761170205661 674392573749706380582228384156118177) (P 51))

(47 360 (80747 226171427 487479963345800587 690047514530716368216543606203) (P 57))

January 30, 2000

By Igor Schein.
(January 27, 2000)

(49 477 (7 4999 8527 9308465717094314472791657 177116676021309241417245351126913) (P 47))
(49 608 (4999 255698171 98706756989 83681352078031 300990544973492189676544380143903) (P 48))

January 28, 2000

By me (Hisanori Mishima).
(January 27, 2000)

(114 936 (203808061 124759382011771467183213605939504281) (P 64))

January 27, 2000

By Yasunobu Torii.
(January 26, 2000)

by SNFS

(108 775 (13645285256595833554604100517) (P 76))
(108 791 (9397 366710757335880142578824099201655637) (P 65))


By Igor Schein.
(January 25, 2000)

(100 533 (5 101 5058874090781709113489339201 62540107132431159160307298601) (P 50))
(100 574 (43345201 209316938830017996127556101 6613086885319306401445522201) (P 49))

January 25, 2000

Last time (January 16, 2000), I made a mistake.
Mr. Andy reported,

(43 843 (358204819644329851099 1283111441599777289443379 5066262890071880064461813 145111648023796340190877799) (P 28))

and I didn't update. Because the latest value was

(43 843 (2272415896229948296494491159) (C 96))

and it seemed to be totally different. But he was right !

He says,

I have checked my work and the factors are:
358204819644329851099
1283111441599777289443379
5066262890071880064461813
145111648023796340190877799
2272415896229948296494491159

You somehow managed to find the largest factor first!

I searched the log lists and found that (83 843) had been updated
before I took over to maintain these lists of factors.
I also want to know the reason.

By Andy Steward (January 23, 2000)

by ECMfile2 (Ubasic - KIDA/steward)

(43 564 (2131253 16659462739 37868105418918779751547 14678284155173366518968320174548820929) (P 40))
(43 618 (7595574614818961963497 221979203407010512514565165007) (P 66))
(43 772 (1851667 16518120087214132073017783) (C 90))

(47 415 (253678049629726857320791312943) (P 92))
(47 798 (659 2069 10529 479316905560777 76475840369391698675239584386107049) (P 74))
(47 965 (283 40675027665381741241720384176499) (C 104))

(49 204 (7 649937 122657588683638834563433465434771) (P 59))

(53 534 (18127 240593356552673524256471) (P 115))

(59 183 (827 4162097 762560389530106943873527 2339562597640501057528975441949) (P 68))
(59 488 (16965070768651 46868914939296071835845016883) (C 115))

by PPMPQS (Tomabechi)

(47 183 (7973300084093685856211 57816018561352084770071602847416181) (P 48))

(49 589 (7 1024591 35056755413 24246211830738199 64999287429009853384980276232009078499) (P 45))


By Nicolas Daminelli

(43 415 (4468022013282470776385183 1893498621302701527111607589444632656409) (P 47))

(47 316 (5641 79901 128742401 2409539628577 45151754897311492517400564629971327753) (P 49))

(55 232 (991 31491791 508012839560112835990788763864871) (P 52))
(55 261 (32548025885659351 2486571867740616886404064224104569921) (P 44))
(55 878 (11 331 16061 33133534533551 11141046447174413661703622324043421) (P 63))

(59 224 (1754646431 223977897133217659493 7401807082837437478331 808629774102913151494061385563853767) (P 49))

January 23, 2000

By Masaki UKAI.
(January 23, 2000)

by SNFS1.1
(37 886 (7919 2527449593823758541961074524116627) (P 69))

by GMP-ECM 4b,4c (+Tomabechi ppmpqs2.6)
(150 325 (355951 6219767060265115838388301 13401399734294341557541540266751) (P 40))
(150 598 (601 1240169551 7101566066387101 13394804965255114649248801 13706507754002790668526301) (P 34))

(55 370 (14851 23431 118691 442596814784118580027348831) (P 63))
(55 459 (1143354495737242028271791) (C 83))
(55 504 (11 661 41801 2058211 47122004161 2505221331877190305961298641) (P 56))


Aiichi Yamasaki.
(January 22, 2000)

by ppmpqs(ubasic)

(63 781 (379 125859495133 7209881651795196705611676417563338567) (P 54))
(63 753 (178417 7705783 5326935115500544807844350130953984591) (P 55))
(63 763 (816756385537 9252769135026465497631543832755702559) (P 55))
(63 430 (127 1655992821868072428078249967753647329647) (P 54))
(150 130 (151 601 1270783201263349898992922101) (P 53))
(150 626 (53551 88951 123789819960650458993051 10717488468804936824155951) (P 55))
(150 779 (42901 44188549651 289127106966339012601 3514242375134502043422774130882801) (P 47))
(150 993 (492785101 38287446751 664240853583954495001 85891782779529521584394251) (P 54))

by GMP-ECM4c

(63 776 (10119313 3378008701980136229577745794267781) (P 64))
(63 743 (478161708121759182176637551853123137263) (P 65))
(63 665 (127 2722231 953619707955123317669178842066368639) (P 58))

by snfs(ubasic)

(37 772 (8363 233323 1663408993906214911271955465039775035691) (P 56))

by snfs(Tomabechi)1.1

(57 469 (98601336696646846956301083579283646919217) (P 56))

January 22, 2000

Tetsuya IZU.
(January 21, 2000)

by ecm

(132 394 (661 108432290555653312804094359316750101) (P 66))
(132 458 (661 8581 393452401 975100963828747009405750035361) (P 62))
(132 684 (9723913 245050873 1888738904741952407699928214782979237) (P 62))
(132 736 (1062724237595339007870115374765733) (C 82))


by snfs (Tomabechi, Ver1.1)

(41 496 (83 4304077784911932425894942170625939506427) (P 67))
(41 538 (83 739 1723 8095386469600151966830288105069717910679749) (P 59))
(41 564 (270191 213641653 53624707306739564885568136547045900893) (P 59))


by ppmpqs (Tomabechi, Ver2.6)

(132 638 (94509390123527388173018353489 96466171362646848844953653925148062790129) (P 43))
(132 715 (5213209 9782879450161274830578481 41661499034336015043454938666925967834149) (P 42))
(132 803 (7358341 653162641348193646989539573 25268143843213770413727600363009701030017) (P 43))
(132 816 (128381089 640316821 1504867799780533 8804367946228214505165269278105374013) (P 48))
(132 869 (36202321 2344432729 173204432031348169 20684447523915559414446461351312950582981) (P 44))
(132 888 (2113 3037 3697 62418799363240263088993 152990919426641732236778230671001) (P 53))

January 19, 2000

By Andy Steward (January 16, 2000)

by ECMfile2 (Ubasic - KIDA/steward)

(43 413 (10321 42743 1799566060157 3178322006703968033228453610389483) (P 56))
(43 425 (1549 1721 8512557007 79587830441719591439179222157929) (P 63))
(43 451 (614986366361 304046658134767 64755491332388147400510087528833585933099) (P 45))
?(43 843 (358204819644329851099 1283111441599777289443379 5066262890071880064461813 145111648023796340190877799) (P 28))

(47 425 (57544169 2214742985280682240160275459) (C 86))

(49 372 (7 197 19960785914889901532772098197897) (P 74))
(49 637 (491 342168374298489676901573) (C 92))

(53 159 (107 3923 10177 6419843577931661034373 3918743049670716595513621) (P 59))
(53 304 (107 1697 21884169443261 8383894443495789800679341) (P 86))
(53 445 (47807 39544890420209384683477) (C 111))

(59 159 (1063 58411 65609 729419039117772387541) (C 95))

(61 110 (157211857922501 37337002189263094506607350802521583) (P 74))

by PPMPQS (Tomabechi)

(43 372 (480827 113302864277 5656438785583620341 2733495298578814171152991) (P 49))

(47 637 (283 51528733 13054153784142701 527007276869459027069 4720433978388509009936490191768722498069) (P 43))

by ECMfile2 & PPMPQS

(69 212 (8663503 175355432843350361646112483 6795922769269890577511705233147771) (P 36))


By Nicolas Daminelli

(43 345 (43 795931 3068903384537 40047174361417 568265396318615006897 68043330503840070417764083) (P 27))
(43 445 (63716161516711278231031087 6301013624368554564997566129434917) (P 52))

(53 369 (107 36571 7007449 2496966243151991445787 51466176374594646955465393) (P 73))

(55 336 (881 2311 402670277016522880746070081743572651) (P 60))

(67 212 (247341623 2163606077 2127633463513 955147442183497 534796778745030510654114620161 897214885719417784566568043669760769) (P 43))

January 17, 2000

By Masaki UKAI.
(January 16, 2000)

(88 522 (25873 15261376976695147700817889) (P 80))

(110 657 (11 8720581 343322321 39979647401 368478912450608430705621091) (P 60))

(150 536 (1801 13539260749953743093901751) (C 81))
(150 876 (1099051 160582292875607400158401) (C 89))

January 15, 2000

By me (Hisanori Mishima).
(January 14, 2000)

by ecm

(126 633 (62737291 2969778330663447986498637996288661) (P 60))

January 14, 2000

By Tetsuya IZU.
(January 13, 2000)

by ecm

(41 843 (1231 2789 699379 52908943 61098529 7135500210466743061182094057480571) (P 56))
(132 856 (2377 214140839617 6774090802386718882313850769657) (C 72))
(132 893 (331583209 44350188697 1802239311973 1430919847684880352376282816837) (P 57))
(132 935 (1467565451509365398860257491377) (P 89))

by snfs (Tomabechi, Ver1.1)

(41 413 (83 242639 201887710328934234005275250026755087209813) (P 57))
(41 425 (83 111837090311 91691583882758774463917813720012819) (P 58))
(41 451 (83 209316279871211 277230093365937029259545190627436986537961649) (P 46))
(41 458 (5167 1539544999 14955942389639308031847169576091927054590861441) (P 48))
(41 524 (83 2250749021950879 14786060387347521884349959594515401595671949) (P 49))

by ppmpqs (Tomabechi, Ver2.6)

(132 274 (397 91394645233 2999665470946863586585000612354908697) (P 48))
(132 303 (8316001 82265991853 481471199806160998778972480505092221) (P 46))
(132 573 (36697 11084520594804264700621 100214609703629630379315402184726145277877) (P 43))
(132 856 (2377 214140839617 6774090802386718882313850769657 77533375005247332414386419010619853) (P 37))

January 11, 2000

By Yasunobu Torii.
(January 10, 2000)

by SNFS

(108 746 (851076412957 41376304755423283364975622301236471867841) (P 51))
(108 762 (433 330915224449 625650931722876445649052026317) (P 60))

By Andy Steward (January 09, 2000)

(43 583 (30368321 14854808795170745552447702508353 177851114307742420042087866229094704397) (P 40))

January 08, 2000

By Masaki UKAI.
(January 07, 2000)

(100 394 (754889464501 290269428933731889252601) (P 69))
(100 533 (5 101 5058874090781709113489339201) (C 79))
(100 574 (43345201 6613086885319306401445522201) (C 75))
(100 712 (5 401 2801 8101 38310218897746196629601) (P 81))

(110 333 (991 162821011 3164365931 541821260831448597775931) (P 57))
(110 910 (11 80282071 826909571552534003621231) (P 86))

(150 385 (32251 511052252430404863759373101) (P 73))

(75 375 (2319683875518264301 38509640663211226156201) (P 63))

(82 662 (821 198769 2472082845223 594789207833698582429523453) (P 66))
(82 717 (83 365460770898673 12790680344807206654698806231) (P 70))
(82 780 (754483 16000448302827390163718591) (P 85))

(88 145 (89 80955371894184606662952670673) (P 56))
(88 608 (89 326657 78566660116783175443905569) (P 78))
(88 693 (89 6689 122355113 22645537851993603075483769) (P 75))

January 06, 2000

By Andy Steward (January 02, 2000)

by ECMfile2 (Ubasic - KIDA/steward)

(43 492 (2219990719279 13030734768340455180681187 47990806426009463917145149481) (P 47))
(43 642 (8171 815066033 49226873546251882493853400546879) (P 74))

(53 178 (248289310070066361405187) (C 94))
(53 283 (107 28621 12426399163585498623907717 647984390780288165348329379) (P 70))
(53 558 (107 67106021153243 2857181071453829953061 307245250400782716050843) (P 83))
(53 673 (27031 4449646162783048349831 43111650514308909908467 133149803022468652921667 277796031827764458987599141) (P 49))
(53 757 (20233345439737 19508830503052273 6380157436020630738571 18066718447095242267709481) (P 74))

(59 341 (827 51803 2784792905629843 46839686061387917350069 861190256692434734388559) (C 78))

(61 663 (12498783280296573597719 36312903940396738578643261) (C 122))

January 05, 2000

By Tetsuya IZU.
(January 04, 2000)

by ecm

(132 423 (17390690857 3858114176203071423291682658558689) (P 62))
(132 645 (202124341 38025364210676086548243238861) (P 76))
(132 712 (230462690173 500505863201439011230470740003480413) (P 68))

January 04, 2000

From Professor Brent.
(December 31, 1999)

(55 463 (19898243458139270406695371) (P 82))
(55 613 (612892553001135059607315300941) (P 82))
(55 727 (11222009261 4507868548599086492492372791) (P 77))
(55 733 (316343295432626765335362886011564571) (P 80))
(75 643 (151 751 1028101 29330378102482691355698919331351) (P 70))
(75 787 (26701 151651 373951 257109424223835220632099237301) (P 72))
(75 859 (1051 4051 1326080160709003695486651647111101) (P 78))
(75 937 (151 1801 52201 92647201 992847395721693199862634756374251) (P 68))
(82 967 (83 90663907966880288841883) (C 95))
(88 607 (617 517093160433587132463712551523001) (P 76))
(88 917 (89 12497 2905057 749841886290134366333333609) (P 80))
(88 937 (6337 372655537 41285420751565467504649513) (C 81))
(100 569 (1816901 236419301 321648650107209633855935752919708101) (P 61))
(100 659 (101 3398432801 3893903113476387520716001) (P 77))
(100 773 (5 101 701 14877454923432816258581825201 40355236405904636342141253359701) (P 51))
(100 821 (147913267832405401 62811947016067398100958955701) (P 71))
(100 887 (5 10383001 5734898476225446090712895592601 12098337720135740889803682324498745601) (P 43))
(110 719 (656064478573139155877998547281 153652014203656520186732492683411055129671) (P 44))
(132 431 (15366886288131413288820571318618961317) (P 69))
(132 911 (397 661 7789 12541 20230518365137102148063830090573) (P 74))
(150 701 (601 17079754611048087634580918551) (P 83))
(43 839 (396719 17478116140299281722694839 15049271456830364015499587462719889604433) (P 52))
(43 919 (1979 466834907551591971185251 3513558383362468334061155891) (P 70))
(49 523 (2554055617 594273750507487581394448971 5369670457970975143956633575639) (P 48))
(49 733 (197 103134135437986663904099888291) (P 90))
(49 809 (3700187 482520905575158311 2428756111663693857935467155089) (P 68))
(49 859 (6802573 2743187189 5295471712288990050077393 5839365877724681793647013467) (P 55))
(86 281 (1124237760676095057899041 6884259294897853765918354148517419) (P 45))
(86 379 (173 11353 1311166383535061418795066220513) (P 72))
(86 461 (176071843 9876933731389826793945936173) (P 76))
(86 463 (947 1040684358231864365976824887 147548444958659831783327709786617471) (P 47))
(86 491 (1033 6219754327520815009 770767537233611665718317323468539951) (P 56))
(86 643 (619231649 8453910541279578983539671017 1852297458339216937325454051782080319) (P 45))
(86 787 (3613 13155421 525235616770959740541541 6340303125509917817099629) (P 63))
(86 829 (173 777871 153984463 1424131603784955430921129337 17273513157772552827465015697591) (P 48))
(98 307 (7 748477262104060175894372625517) (P 74))
(98 541 (118189 874362371 37402554115342023395535354601 290425196970461312657609255285603) (P 40))
(98 653 (197 7253 626997942864326177102663290937466697 1356870518220841029705054723283618751) (P 41))
(98 677 (883 2838851837641961884227941) (P 92))
(98 881 (7 60271 2266447 8393705587 570631590104181209857188078487 192215305284136429559168373214579) (P 40))
(98 937 (7 95747 6839412470786334811532651) (C 95))
(69 197 (59965140165510530050359297043 96907227536902229657725999453) (P 44))
(69 239 (146555180763874667534220817) (P 79))
(69 281 (1530749038670059883503818823 714403986481650133586175539443) (P 51))
(69 317 (691 3685071222297057242363220072409) (P 77))
(69 457 (5051488542732140422469509) (P 93))
(69 563 (139 277 34701433633 35812947720695902444801) (P 84))
(69 619 (691 171673 1241693963098824458738546494786441) (P 82))
(69 631 (450559724107 1865927381495448104687658367) (P 85))
(69 643 (691 3727 7039 1988120223383103382340805867223) (P 84))
(69 797 (277 109609185840666570261128377) (P 100))
(69 887 (691 3037 41489774739392048148301) (P 101))
(69 991 (107910364898617 1147185706319815304749 967263091022279912509291) (P 73))
(92 379 (271769 22535597288077401955682881513 103869913779022616075110553521) (P 51))
(92 409 (277 28565943522965606512961053 9255081896279390817038321268767491614534989) (P 45))
(92 761 (46829 132757 139158286519109688902797909 17797033179240314021685606029) (P 63))
(92 787 (31649 104494613 627116069 17992272765045187944054997) (P 81))
(92 811 (3660037 875307385366058926310593 40485013546287922291672467262676408033) (P 60))
(92 827 (22541 55109 2014643731644917 1002361353455920081558513680097) (P 74))
(92 907 (829 42163601 92459295557 10214685831191047489805261) (P 84))
(138 223 (745343597783727933752513805853 7751408967834400769702513840927593) (P 40))
(138 353 (2357009917 31251286644648665049488167 21344974231656295492295567475071713273) (P 40))
(138 449 (139 1319419 46240502491 7098095464864044152466255556197307) (P 64))
(138 467 (139 33985950240369598767942637 36530451418816878116232732385848549451) (P 53))
(138 547 (139 1933 383859561424157201656406762105713 31880920401915686805060943793362651723) (P 45))
(138 563 (1933 152323169799568423 13878135557308670800387159) (P 76))
(138 653 (1511101 313927910759284591488247807 144893697946984976936321499314193347662207) (P 51))
(138 709 (188858821775641 1016132772822896787403506409) (P 85))
(138 829 (139 25443199 85771310840388747054368003372479) (P 87))
(138 929 (829 4969 24979 32707 2865808201279363133869 57959818603130183365673069479) (P 65))
(138 991 (139 629209400719 2979679735414450095793 1528575306146116544819681868733) (P 67))
(47 331 (350809 485417 1836805442167250057361676914293 4598781345456699037010794377031721957) (P 38))
(47 661 (767318053 2256062370599 28391638485418588135432783) (P 84))
(47 797 (941 3392162867 2593512388258860876346106861299 208866924837396380515377047928179) (P 59))
(47 809 (81508529 5227911991 1235719316504147009 13150969547926421869395574801607) (P 67))
(47 811 (1129 471379438978466011481 81193986221294457226337 673017404414781666374895644729) (P 58))
(47 929 (1129693 14939931767528353 890232095066795174738752523) (P 88))
(94 263 (27228793 1832338421930507643761927789423) (P 74))
(94 269 (122846135903340339256220495659) (P 83))
(94 353 (10175015578091672837886563) (P 93))
(94 389 (57825422464849540995403889389 356484156162308712024564989860759705941503) (P 49))
(94 421 (79940634219224537118161) (C 98))
(94 461 (941 134606615917448790939243363149) (P 91))
(94 643 (359506291 2163032062379 1084763811023667550350037) (P 85))
(94 653 (3778451449 55112071836556597726872905497189 281723108076692615170257846661569710029) (P 50))
(94 863 (4231 76274193367 24643037004160217 11653967163773638094321981 1326783646836639772795005852868911102929) (P 40))
(94 877 (20399 270157 1721893 11849077 114311051 95120203618333107521352631139) (P 76))
(94 919 (68500265028145451 192626223847858760632640987639) (P 91))

December 31, 1999

By Masaki UKAI.
(December 30, 1999)

(55 906 (11 3810444331 149070645228575425111610713201) (P 79))

(100 674 (1201 530401 16539761356140301 707650927392116904733501 10683392288242952824165701118601) (P 34))

(110 602 (11 43891 65011 166541 1834797903531388932485166841) (P 69))

(114 773 (457 207709 11167530741829152806374722878029393715867263) (P 53))

(150 955 (4774351 5642851 26198783551 619990369051 2770646351678161639483951) (P 60))

index
E-mail : kc2h-msm@asahi-net.or.jp
Hisanori Mishima