old log ('99/09..12)

December 30, 1999

By Aiichi Yamasaki.
(December 29, 1999)

by ppmpqs(ubasic)

(63 332 (1376482326990788416871867937878460756493) (P 52))
(63 504 (5483521 45911591907376235329777377767531946947526691) (P 47))
(75 622 (151 751 40948395137068598557920197136751 40262870401344474658035114272685001) (P 41))
(88 372 (56174619021125475792990377 5365111666963747515545794241570417) (P 44))
(100 410 (4459601 312700027923674425286701 1047761030628944610494787818751327701) (P 39))
(43 949 (173 1659457 72038980687891405933 12601725284323068493341463 41391716305012618339886243) (P 47))
(69 213 (603828396754609683959641 3554366407950811809002956213689097) (P 46))
(138 531 (139 277 651361 54243799 6197987101 1991638880939982271 29320621874053241334278413) (P 49))

by snfs(Tomabechi)1.1

(57 466 (50077268038250977485345861447346661180480497201) (P 50))


By Yuji KIDA.
(December 29, 1999)

(61 775 (472019 145334209 161101489 8920762489 15040855889 17248451034083 84918445400179 
already known
new
7653440409862116219485967336465228204423699572453) 
(P 56))

by ppmpqs 3.7 on UBasic

December 29, 1999

By Tetsuya IZU.
(December 28, 1999)

by ecm

(132 510 (397 25978517449116833569 10404578880391906655669514181) (P 59))


by ppmpqs (Tomabechi, Ver 2.6)

(132 148 (115237 2214132163374020129871784065479538722917) (P 43))


by snfs (Tomabechi, Ver 1.1)

(41 436 (83 7627091527076762648561328796573160144330690507) (P 58))
(41 460 (19681 4089746519839 358119022237070576889550446421569963060167) (P 49))
(41 492 (83 3973586993969307721 533248359286207182124982419259796187393) (P 49))

December 28, 1999

By Andy Steward (December 26, 1999)

by ECMfile2 (Ubasic - KIDA/steward)

(41 566 (83 821 8519646661 52575182072413653812629969375985256279101) (P 55))
(41 800 (13793959 4056478717793 2191620188151735572669018086020631) (P 64))

(43 605 (1643760649474533287158719135739) (C 87))

(47 800 (47 18143 33950639 1415421263 16808335584485560235306737) (P 86))

(49 174 (1667 194565651041778925851575080599103) (P 59))

by ECMfile2 & PPMPQS (Tomabechi V2.30)

(43 834 (173 2237 3011068157966280520643 512867728155859786438087 42504027630386618523588924197) (P 44))


By Yasunobu Torii.
(December 26, 1999)

by SNFS
(108 743 (433 4814330565189106582466726811168404209) (P 65))
(108 745 (109 433 541 9298801 1607000737138817846985264152766903010700581) (P 47))

December 25, 1999

By Masaki UKAI.
(December 24, 1999)

(100 410 (4459601 312700027923674425286701) (C 75))
(100 478 (5 101 3433301 25643324710934172899815574701) (P 70))
(100 706 (1901 33179433350801 1434971488303822202674901) (P 73))
(100 910 (29201 121501 8359887401 16734574513229285258801) (P 77))

(110 236 (432538261 24121741032247297382304373786818881) (P 52))
(110 681 (991 37181 4113121 126865275825751 61926341652814815938795771) (P 60))
(110 686 (5501 53593719185130446318921) (C 87))
(110 916 (8581 5017871 22377961 4324346052895514801204504401) (P 73))

(55 285 (15807038045954021348402251) (P 73))
(55 287 (2311 12695893607981 3248733900589244001331) (P 61))
(55 427 (11 331 145418681 18297723927037032659351584591) (P 66))

(75 381 (1051 4466251 154189771615815959844811402201) (P 65))
(75 791 (151 24001 241951 35463544040141767993334851) (P 79))
(75 884 (2551 19051 23251 6546852796103310015413701) (P 81))

(82 545 (83 92817594489767974197945019) (P 82))
(82 583 (83 17959 31188947 748529593433 161796722459123672668486167337) (P 56))
(82 649 (3527 6587389 729929478081258740852211649) (P 76))
(82 789 (83 739 32801 4578679891102669906114773659) (P 79))
(82 858 (821 543497 369381696837335601079909) (C 86))
(82 883 (83 6178206102266293 6545093847207809047213943621303 131214218405715579955521729040589) (P 38))

(88 710 (1409 18041 30757431644003729592049) (C 85))
(88 718 (89 617 26675478604897 4707128019221459184715696753) (P 69))
(88 928 (89 176353 4436267089 2652852587995147429937 3826964122956337856153) (P 59))
(88 931 (89 353 7131427935078322617002449) (C 90))

December 23, 1999

By Tetsuya IZU.
(December 22, 1999)

by ecm

(41 713 (83 908630029 1783194513019 85317139229203032231282295909988923) (P 57))

(132 679 (8828598142506461035279840201) (P 86))
(132 834 (9359986992963652513918975801 11539899385459968701598864940849) (P 58)

December 22, 1999

PPMPQS Ver. 2.60 (programmed by Satoshi Tomabechi) was released.


By me (Hisanori Mishima).
(December 21, 1999)

by snfs

(55 230 (59308162808869685119880861094720008571931) (P 54))
(100 255 (101 140401 3016301 50918111839628425346675291691301) (P 51))

By Satoshi Tomabechi.
(December 20, 1999)

by PPMPQS Ver. 2.60

(41 834 (83 793843 26275141350242954199883 145235708767918258181509255826879) (P 55))

By Andy Steward (December 19, 1999)

by ECMfile2 (Ubasic - KIDA/steward)

(47 313 (2101311337190591198516993547883) (P 85))

(53 187 (2333 10956797 756420424011246503514287) (P 84))

(59 306 (12391 1420142817809591 30405489382240402140419) (P 103))
(59 313 (1889 212777048817871 123598778212222867279149223) (C 102))

by PPMPQS (Tomabechi - v2.30)

(43 194 (8352553490173 1780576893510855970450381812811) (P 53))

by ECMfile2 & PPMPQS

(47 194 (659 4041862949 240986849227010611835184817 77798905325415136622955519730463) (P 35))

(49 532 (6494938930607 13636620149294766556591812371 295489001804661485478694734769) (P 45))

December 20, 1999

By Satoshi Tomabechi.
(December 19, 1999)

by snfs
(37 973 (76249796489232603431135333580199651) (P 73))

By Masaki UKAI.
(December 17, 1999)

(71 714 (174258279254281347180167975007953) (C 168))

December 17, 1999

By me (Hisanori Mishima).
(December 16, 1999)

by Tomabechi's snfs

(55 186 (331 50821 3636770338471994308420725813542998501) (P 47))

December 15, 1999

New results and errata from Aiichi Yamasaki.
(December 14, 1999)

by GMP-ECM4a

(63 802 (2570401 1797829871809920855785707002553) (P 68))
(63 889 (7057 257671 10207387 186606329957502718299316781830191073) (P 55))
(63 993 (127 1009 1744194061 5002095263396662872575501642397361) (P 60))

by GMP-ECM4b

(63 752 (237433873599064060472819650977901) (P 72))
(63 917 (379 37499406554652882561026207573690211949) (P 67))

by ppmpqs(ubasic)

(63 460 (127 21169 5031346257175896917935513135547570670010159) (P 47))
(63 485 (127 107857 3553852567205835087471092019255240031406209) (P 47))
(63 633 (248473 622189 215727763890777410957031529559020014967) (P 52))
(63 684 (127 44296156549 124700865187021844457254058476345977340509) (P 49))

errata.

false (43 949 (173 1659457 72038980687891405933 41391716305012618339886243) (C 97))
true  (43 949 (173 1659457 72038980687891405933 41391716305012618339886243) (C 72))

false (49 486 (34301 8018451593771049364821931 654485865343428229452323347 275146612028386439350640443) (P 31))
true  (49 486 (34301 8018451593771049364821931 275146612028386439350640443 654485865343428229452323347) (P 31))

December 14, 1999

By Tetsuya IZU.
(December 13, 1999)

by ecm

(132 320 (1872289 1839076306796084339408904151201) (P 64))
(132 430 (661 1453 1706199529 19079497856849056645297904197) (P 62))
(132 996 (9109 32077 56101 3629095320037147009051526083561) (P 77))

by snfs (Tomabechi, Ver 1.10)

(41 392 (6364385511721 8682388537231460863565422057609767967372247) (P 48))
(41 412 (821 4283470074893421494049896814847620950849896911767) (P 54))
(41 532 (474843379462780940396176487556679932652328523889969) (P 59))


By Andy Steward (December 12, 1999)

by ECMfile2 (Ubasic - KIDA/steward)

(41 420 (2707 43789 23100743039373392548955435528281) (P 66))

(43 449 (431 4903 1456859932159190291710934253041) (P 75))

(47 420 (6299 11297306130530421433 501897588971941295753 71724565211205429932957) (P 55))
(47 493 (2633 5641 6863 20963 2733427 682970960411 3863536374977471258711 13588554516721801901330561) (P 44))

(49 756 (411013 1261944433 14490105552847 23935229492256571786568868883441) (P 62))

(53 883 (107 65024111 1352641379918320825843 290641086926379089374043) (C 99))

(61 337 (1837578704263013 102725410576441656359261 382590140338209136264439983) (C 87))
(61 439 (367 71769917 2837056946110452193627) (C 127))
(61 571 (367 17203 138349 160637767 4901039389 25740571722631511 32127382280100501897172823) (C 94))

by PPMPQS (Tomabechi - v2.30)

(47 335 (3761 324929123237507 20109121613205015697 106505399715365436361062635780230537487) (P 41))

by ECMFile2 & PPMPQS

(43 365 (44549 2600194951 400725780063765009089 2773771843113507714592722522460913) (P 40))
(43 429 (173 1291 3075113319061095044335128371 403078911223302207734936368284151929479) (P 40))


By me (Hisanori Mishima).
(December 13, 1999)

(114 694 (10831 7610953515684359007951023820469) (P 68))

December 13, 1999

By Yasunobu Torii.
(December 12, 1999)

by SNFS
(108 732 (9721 80689501 3189884699779154460668587255890832081) (P 55))

December 09, 1999

By Masaki UKAI.
(December 07, 1999)

(114 520 (229 239287 525698409790936056868251421154707) (P 58))

(126 649 (127 1466090011 88799982118637908073324706860430219253957) (P 50))

(150 674 (56551259701 112684751701 501073805359228268745751 1303808498150400703239151) (P 44))
(150 873 (70051 1060555192920179451531331651) (C 86))
(150 978 (38851 6983113703228000648887051) (P 91))

(43 949 (173 1659457 72038980687891405933 41391716305012618339886243) (C 97))

(49 486 (34301 8018451593771049364821931 654485865343428229452323347 275146612028386439350640443) (P 31))
(49 887 (2647 1979993 2884445229037 210532095043748887535073988433) (P 73))

(55 280 (11 24971 36458291 3701309486429924424995304971 23886111856000394419281517381) (P 29))

(69 124 (139 967 29463786055817276330560111 512833699670982499314664542769) (P 32))
(69 213 (603828396754609683959641) (C 79))
(69 272 (829 636319 110300041771 1398855725275931953 46482705535410377143882745863) (P 41))
(69 279 (1857091709580685471) (P 90))
(69 362 (277 522883 13166412043510425697 764850088527738620581 870946768453726804632129966709) (P 35))
(69 466 (139 3816551421144031 2975453924422700389) (C 82))
(69 528 (1085122567 43456036188093947784756787) (C 86))
(69 624 (18642076062921604909211077) (C 98))

(75 754 (1051 2551 51151 2144900609764506365601784351) (P 77))

(82 746 (14873326507554351400588979) (P 90))
(82 790 (83 1231 844479351142607569 1970117548754913168643952683) (P 66))

(86 262 (173 2237 378784797466499632241443 209582165842540731491321683) (P 47))
(86 936 (1291 6163879 12850865816191654661 172664557922265785456879) (P 73))
(86 984 (17701090954389182939 6052243796077197691292899) (C 82))

(98 558 (124446967 100211006612450902561) (C 88))
(98 775 (85751 163367 744333336690559151637949) (C 88))
(98 813 (197 988855177870887346010202947) (P 93))
(98 966 (12834100483 24196045063 268231684571605438097) (C 85))

By Satoshi Tomabechi.
(December 06, 1999)

by snfs
(37 853 (99020057732053356284705703422062797101189126401) (P 59))
(37 939 (17647278565883242995817491240307923653495090609) (P 61))

December 07, 1999

By Tetsuya IZU.
(December 06, 1999)

by ecm

(132 473 (3603469 780770337587168813947931378137) (P 71))
(132 638 (94509390123527388173018353489) (C 84))

by snfs (Tomabechi, Ver 1.02)

(41 365 (83 34519951 23065095487870986715679355820900868231) (P 56))

by snfs (Tomabechi, Ver 1.10)

(41 429 (5781916813838167 26343811837140709426488816619199) (P 59))
(41 493 (41 83 2297 5469073 2129237927946734468890240156214633041) (P 58))

By Andy Steward.
(December 05, 1999)

by ECMfile2 (Ubasic - KIDA/steward)

(41 763 (83 2953 105086129272309856395261702995369329) (P 75))

(43 568 (1273231 314149761840653756169491979810143) (P 78))

(47 335 (3761 324929123237507 20109121613205015697) (C 79))
(47 568 (659 343311447643 18566764490357 1485646821702106972409) (P 78))
(47 705 (19072883 4364387091608003586355345228103) (C 94))

(49 675 (3386092898340005325811961231) (P 92))
(49 763 (197 642881 4996892503 10487788991 383316092111 93616618151512365762049) (P 59))

(59 582 (73751 250043 315179 174163227839445861148927 708912254099768146712302385267) (P 92))
(59 763 (19471 34767353776149154774171) (C 141))

December 05, 1999

Errata and new result from Aiichi Yamasaki.
(December 04, 1999)

by GMP-ECM4a

(142 717 (220304323724173525094911) (P 177))
(63 642 (240913 3479133645472329050232323348510374819) (P 60))
(63 671 (127 15121 6903252275062753037172633841) (P 68))

Errata.

false (37 724 (2414729299 13928863772963882489144497350330211206827) (P 59))
true  (37 724 (2414729299 13928863772963882489144497350330211206827) (P 54))

false (86 310 (173 1549 330405715379 87888267798814225133861 53043909753329491443479) (P 43))
true  (86 310 (173 1549 330405715379 53043909753329491443479 87888267798814225133861) (P 43))

false (94 534 (5641 29611 303023584987 99984879816806418439) (C 86))
true  (94 534 (5641 29611 99984879816806418439) (C 98))

By Yasunobu Torii.
(December 04, 1999)

by SNFS

(108 731 (541 1307227897 97589810130822351691647396466592053) (P 57))

Errata and new result from Andy Steward.
(December 03, 1999)

(108 715 (1297 10851304311034111063013476093385378251954357 (P 57))
(108 716 (109 198937 310060967774144867940193197542801285159501389 (P 51))
should be
(108 715 (1297 10851304311034111063013476093385378251954357) (P 57))
(108 716 (109 198937 310060967774144867940193197542801285159501389) (P 51))

A factor that I had missed (probably from Prof. Brent's table):
(126 421 (1) (C 95))
should be
(126 421 (13935517593356076201946358334581511966171431761) (P 49))

And,

(55 659 (53144110743901 342091868116334631462664270740341) (P 67))
(88 353 (89 40129 11141471898795026696470150907834665921) (P 59))
(100 433 (5 101 1201 97001 12835151273950687647856201211078441871914831201) (P 49))
(100 457 (5 101 1136204701 2377320512302235782266616281142856296301) (P 56))
(100 829 (701 49801 5305411301 735507685462656281336497338701) (P 70))
(100 967 (5 1601 12301 2479719901 2771311602611424564101 55453987533193666618102001) (P 55))
(110 659 (6046601299201 521101642323225683840643321811) (P 71))
(110 997 (11 27941 30627432474945590681 9805595607202731587859923519338459774993171) (P 52))
(132 421 (7051952953 159613718052865354435455506558461) (P 63))
(150 853 (32080399495821694987201 29993386894471979134095405756069326101) (P 58))
(49 691 (197 1013533213579907776603 30438236839108773547338299 5755999176172039311290854473160433) (P 37))
(138 659 (340551254596922631439 25268000281559243030113 2051434094643393069322561) (P 57))
(138 787 (139 2773494734893 123934167838241774403142303) (P 87))
(138 821 (139 277 145177 101707685408353 10701070603296285007 138308037637890141675757 168655263195578585076061) (P 40))
(138 991 (139 629209400719 2979679735414450095793) (C 97))

December 01, 1999

By me (Hisanori Mishima).
(November 30, 1999)

(126 693 (127 18523 102792359382430459863296043408457) (P 64))

November 30, 1999

By Tetsuya IZU.
(November 29, 1999)

by ecm

(132 508 (246577 7453682075507043124819477177) (P 75))
(132 819 (71374909 706742521 26335418610051013 506727396657632655124835638897) (P 54))
(132 834 (11539899385459968701598864940849) (C 86))

by snfs (Tomabechi, Ver 1.02)

(41 335 (83 2543 284131 87898475947581148554294783414476432571899) (P 50))

By Andy Steward (November 28, 1999)

by ECMfile2 (Ubasic - KIDA/steward)

(43 675 (5591 4449899 52703301913 534651545373761109329032158324685559) (P 62))
(43 851 (5865753857644898080120742001941 130201514322778798198235582179666661) (P 58))

(47 297 (51043 5908912958759 1801508407665984449611 50085176318406030793811) (P 53))
(47 469 (659 5641 41737 376847 822519482231363901667 10003413764637649325169955987) (P 58))
(47 792 (64712684006807188514650781 147840527216210413209376606709) (P 79))

(53 782 (107 331530137578774176995209 3261589191649998811590221) (C 101))

(55 297 (388886364930079409310192661) (P 73))

(59 180 (2266479545541271488761611) (P 107))
(59 190 (2833 28793 3103813903747841 13894916546506714831512181) (C 84))
(59 224 (1754646431 223977897133217659493 7401807082837437478331) (C 85))

by ECMfile2 & PPMPQS (Tomabechi)

(43 478 (173 209497 135264025035495671478678734537 2027170037513143151389410493021413881) (P 40))

By Satoshi Tomabechi.
(November 29, 1999)

by snfs
(37 763 (9761492633607013912986838198954835190157667) (P 61))
(37 915 (362499585903540984544988410993654242312791) (P 66))

November 29, 1999

By Aiichi Yamasaki.
(November 28, 1999)

by snfs(ubasic)

(37 724 (2414729299 13928863772963882489144497350330211206827) (P 59))

by GMP-ECM4a

(63 758 (631 35675137 51429582297197146228349672739576739) (P 59))
(63 996 (8317798522488756978813039890795716153) (P 72))

(100 493 (5 101 78702891602516801 3710532373968551077150948901 7192968967935272482418844901) (P 33))

(110 408 (11510731 17118046121221 251870488560682505001381191) (P 58))
(110 789 (11 7151 1253042729438182630091 3260219830100703152909381 1189258196749931606929962357401) (P 36))
(110 879 (881 6491 44252090642042200562296961) (P 86))

(126 774 (127 340453 999595549 10427985004448624453690299564843) (P 57))
(... already found)

(138 762 (3037 153457 94300783 646852023900467389) (C 93))
(138 771 (11559540607 8132023227487 582852725025403147256059) (C 81))
(138 792 (45403 15232639273 3190008841461465740434867) (P 89))
(138 796 (139 108045262805756873119) (P 106))
(138 821 (139 277 145177 101707685408353 168655263195578585076061) (C 82))
(138 830 (139 2347 31787473 2522169809725476765422683051) (C 89))

(47 436 (659 6834647 172705645268777 198223676443470177626327) (P 75))

(49 970 (197 16661 3390389166067 2828146948274060284873) (C 85))

(63 847 (671005761833330029 52003285552249356089387843856721) (P 56))
(... already found)

(69 234 (7867 1473705702495239977) (C 83))
(69 511 (115372359348649990549) (P 100))
(69 665 (829 147661 45909928137553696792489) (C 94))
(69 834 (277 229293222310637209) (P 109))

(86 310 (173 1549 330405715379 87888267798814225133861 53043909753329491443479) (P 43))

(88 840 (6073 137949241 4117817535388393 1704857504764851677027559759857) (P 60))
(88 969 (11617 253969 2310703233704225114555153) (P 86))

(94 231 (2114601918886423017803) (P 88))
(94 534 (5641 29611 303023584987 99984879816806418439) (C 86))
(94 984 (1566468085118817380573) (C 117))

November 26, 1999

By Masaki UKAI.
(November 25, 1999)

(138 531 (139 277 651361 54243799 6197987101 1991638880939982271) (C 74))
(138 584 (26793253 2392360135775281745413) (C 93))
(138 609 (139 31524810239084920033) (P 101))

(43 600 (173 3328373 594350056368623 1705848561055163836771) (P 72))
(43 767 (68192153 22947872589438300769) (C 94))
(43 949 (173 1659457 41391716305012618339886243) (C 91))

(49 477 (7 4999 8527 9308465717094314472791657) (C 80))
(49 920 (197 1189126252357855771) (C 105))

(55 920 (331 33405012775032487193011851594481) (P 85))

(75 714 (38341179528573488551 69421884381255787388340914401) (P 66))
(75 861 (160689675301 33616852799790751 824943548381540637753351448501) (P 60))

(82 588 (739 30013 45962363737590541459889821) (P 78))
(82 822 (33211 52432955192840156207964162097) (C 84))

(86 528 (173 4129 4903 121470996013 708565292652776568547 1797042975710103259043) (P 52))
(86 685 (64157 100621 35399149 51721003 58601691979 77263008615567896257 17623742337428527757701) (P 42))
(86 695 (22904173343 17215304961472551897288737) (C 84))
(86 703 (2237 12745401963858097063) (C 98))
(86 726 (173 947 40279133 6848283093416503 21914494116550660327) (P 73))

(92 370 (3909279642341387581) (C 95))
(92 560 (1289 9957161 573503639297671141) (C 94))
(92 675 (3313 7177 563029059612467906041) (P 97))
(92 756 (3313 9129954855713 391860528254888460601) (P 90))
(92 854 (1013 50417 308957077017179916653) (C 101))
(92 992 (3221 2959549 13640121202967117 6564404847123979442281) (P 84))

(98 636 (7 25987151 23525569963771 319306606710376936126519) (P 73))
(98 713 (7 83791 470597 550663 853377613797838941337) (C 82))
(98 942 (14939340773024181220771) (P 103))

By me (Hisanori Mishima).
(November 25, 1999)

(126 704 (1512703459 42827057223200934801617248057) (P 65))

November 25, 1999

By Tetsuya IZU.
(November 24, 1999)

by ecm

(132 334 (22980915426613 14482425103998766568838583576717) (P 57))

by ppmpqs (Tomabechi, Ver 2.50)

(132 201 (12541 564301 45228529283044622856479686486481812126573) (P 42))

by snfs (Tomabechi, Ver 1.02)

(41 297 (83 821 16729 7635953881950424295946543127991680125683) (P 50))

November 23, 1999

By Andy Steward (November 21, 1999)

by ECMfile2 (Ubasic - KIDA/steward)

(43 219 (1549 531078089496452258971520818423337) (P 63))
(43 622 (11783 29327 1703812393 27119686009369014052034335547939903) (P 66))

(47 244 (283 43313380349 2094671467151905836582656167) (P 70))
(47 622 (19088334268599884516399) (C 107))
(47 831 (304091 1084704392623083053 59054187903538282283 245593328069463463757) (P 71))

(53 283 (107 28621 12426399163585498623907717) (C 96))
(53 557 (2639175345721 246727245975906011 2811819421688479223461409) (C 89))
(53 663 (743 28800413 32027689 6569523961133179304471) (P 108))

(61 142 (22937 66946386115835570883727) (P 102))
(61 526 (78691 3908639783 7137524331264013 3190654904209508357377523) (C 109))

(67 212 (247341623 2163606077 2127633463513 955147442183497 534796778745030510654114620161) (C 79))

by PPMPQS (Tomabechi)

(43 753 (4129 215087 3427306608564019 13857518253874913 263324007047953402475153253899847161447) (P 42))

by ECMfile2 & PPMPQS

(43 245 (812948146773677813391515134561 1931679184365583073852564110718479) (P 38))

November 20, 1999

By Aiichi Yamasaki.
(November 19, 1999)

by GMP-ECM4a

(63 861 (631 32621297710362387750009088265737) (P 72))
(63 554 (20463044284268004917339042594149) (P 68))
(63 708 (1805416734732011930294528703067) (P 73))
(63 553 (2143 19152696187587336160004876359423) (P 65))

by ECM4a B1=1000000

(114 740 (3510072883 234164349456578693777359133133563341) (P 59))

November 19, 1999

By Yasunobu Torii.
(November 18, 1999)

by SNFS

(108 715 (1297 10851304311034111063013476093385378251954357 (P 57))
(108 716 (109 198937 310060967774144867940193197542801285159501389 (P 51))

By me (Hisanori Mishima).
(November 18, 1999)

by ecm3b,4a B1=1000000

(114 533 (5291043425639349655125658783 8798519901034256749282360521123319) (P 37))
(114 965 (229 56302767973633995101492285660443) (P 74))

November 17, 1999

By Andy Steward.
(November 15, 1999)

(37 949 (3446551 1142342283296472438337167200111209) (P 68))

by ECMFile2 - 1116 curves.

November 16, 1999

By Aiichi Yamasaki.
(November 15, 1999)

by GMP-ECM4a

(63 588 (53173 1763011014234188688068729815837) (P 65))

By Satoshi Tomabechi.
(November 15, 1999)

by snfs
(37 754 (59844080634174360109388875960882949744781857) (P 60))
(37 844 (409813335850842631422184971260838660378258031) (P 61))
(82 340 (83 413861029417589735724949369161541) (P 67))

By Tetsuya IZU.
(November 14, 1999)

by ecm

(41 364 (1723 2707 248910731262126266007048077461949) (P 64))
(41 831 (10333 145480958104800437129215020899) (P 84))

(132 644 (375719917 41546202721 16048312571614802519921811877) (P 65))

by ecm + PPMPQS(Tomabechi,Ver2.3)

(132 751 (7789 215689 330719914847254954266749041561 20793646803759256431923121465901) (P 45))

By Andy Steward (November 14, 1999)

by ECMfile2 (Ubasic - KIDA/steward)

(43 580 (431 19037219861468920464330268881263) (P 83))
(43 837 (42829 12381851 20679081694390389791133091) (C 86))
(43 944 (5419 6448188497 27012049043052659604243677) (P 86))
(43 945 (1167193 11609829646228467276334688687 13828055388316180081327984864196069) (P 57))

(47 580 (12973 10072839439483655665393) (C 102))
(47 681 (2081537 135147638411887 19135622775788772548103834203) (P 82))
(47 944 (55399215841 4174198821741647392537) (C 105))
(47 945 (6299 211806300599 5467647803192962203880537) (P 98))

(49 768 (2843 5783 159706681 171872140025511361083262088867) (P 77))

By Masaki UKAI.
(November 14, 1999)

(100 465 (101 401 7001 552695898468385614597901) (P 75))
(100 688 (5 12401 2169873545917597591392901) (C 85))
(100 718 (5 101 25952177494615028947573501) (P 87))
(100 898 (5 101 7259101 184142134775674758414332417151701) (P 77))
(100 958 (5 401 1387801 159028373701 817306834950980963628004001) (P 72))

(110 595 (331 8630821 64283965337351 114285172029458064494353891 7717756950651530968524000971) (P 34))
(110 635 (11 58631 8344016213431275732961 11289406763385389173371541) (P 60))
(110 812 (236911511 27139657266570356977811 21367659630942146161169678638745861) (P 52))

(63 632 (127 6313945299002279761204719193249) (P 68))

(75 286 (5123803501 96903764558268469306951) (P 66))
(75 334 (601 190984829230651113396301) (P 75))
(75 434 (190026108708911591145728701) (P 80))
(75 622 (151 751 40948395137068598557920197136751) (C 76))
(75 746 (1534370701 1056466502602018627143395401) (P 79))
(75 995 (1981968476110801 6504938867871001 1912040859635272137301) (P 68))

(82 437 (83 251673701279299046085021664049) (P 75))

(88 372 (56174619021125475792990377) (C 78))

November 13, 1999

By Aiichi Yamasaki.
(November 12, 1999)

by snfs(ubasic)

(37 768 (3927456423537656841821242231570666826670365951167787) (P 53))
(37 912 (15331908714067391183846681015704926029) (P 70))
(37 944 (1777 1440305143 17013570596655654763993760105904744257) (P 58))
(37 846 (8554031 317611862344668610949953568548059752006561) (P 57))
(37 945 (7422719 177806903647862831589804592722117265726471961) (P 56))
(37 580 (90388671862459982809388702065475728465253693) (P 56))
(37 837 (1322011 38503607 54853175011725271665089920021848665770249789) (P 48))

by ppmpqs(ubasic)

(63 510 (458345287 880291041341137173561873405938989447) (P 53))
(63 703 (1573111 191090593 2356347634635042355020852269903178542940379) (P 46))
(63 713 (10333 78178449007 36204037756601998375208582754006445021) (P 51))
(63 847 (671005761833330029 52003285552249356089387843856721) (P 56))
(114 399 (1101811 7937941857285548707286612912820959491051) (P 48))
(114 537 (3567120079 1219303956601778223318614267151162062000029) (P 47))
(114 690 (80599 19182251953 221943395340013521216903952075441) (P 55))
(126 429 (127 57457 62551718318703575736918665683698727) (P 54))
(126 774 (127 340453 999595549 10427985004448624453690299564843) (P 57))
(126 786 (18397 28099 24256387 752341067631096777923029331024062762327) (P 50))

by GMP-ECM4a

(57 606 (989749 630629013274745828832669354297626135959) (P 56))
(63 824 (127 274381791299851532825230417639) (P 74))

Errata (number of digits).

(108 703 (165673 454357 6921521120504083800660679371277) (P 61))
(55 903 (6271 4488331 12252797465562519814676367421 349479837139378508865772938271) (P 51))

By Tetsuya IZU.
(November 10, 1999)

by ecm

(132 700 (392877937 16101560717562621560967212173153) (P 75))
(132 707 (21580715927018460740754515389) (P 86))
(132 885 (34842385034064055532114581 200145333631660845967809469) (P 67))
(132 913 (20593 2621691747635807033293405597) (P 87))
(132 914 (31477659049 24401977832263439851900256358901) (P 77))

By Andy Steward (November 07, 1999)

by ECMfile2 (Ubasic - KIDA/steward)

(41 755 (203897327338460459595403 138138965753118584342577365169961) (P 60))
(41 983 (83 42641 2192148472836226313843161276315625982853) (P 74))

(43 537 (24683 177763 362233 393091042193 10487782036991278898649332547991) (P 57))
(43 725 (2435011757029 277435939371739330827148987013) (P 79))
(43 755 (431 15588772543 338439912597082737517477) (P 85))
(43 983 (173 25801 100621 50723747 5362850953 15677767692976397733791959725887) (P 66))

(47 356 (1791486217 93914187194878041847) (P 89))
(47 481 (4536817 1587547508330283983027366587 26443175724230785161208034294839) (P 59))
(47 660 (941 302471530937 112603298313320961560933653 8778014034805472211510996502781) (P 59))
(47 711 (22041497 4338876911 227046664291268194622160244957493) (P 82))
(47 755 (404419867 2363040840294101198856855026749) (P 94))
(47 764 (1019842097 47800752016524720641969) (P 101))

by PM1file (Ubasic - Steward)

(49 303 (1471 6469 4302886402340485071334706663243) (P 67))

November 08, 1999

By Satoshi Tomabechi.
(November 07, 1999)

by snfs 
(41 303 (99788753 131499881583207017900416687883) (P 63))
(82 279 (16993651390223718433776765228311) (P 67))

By Yasunobu Torii.
(November 07, 1999)

by SNFS
(108 703 (165673 454357 6921521120504083800660679371277) (P 62))

November 03, 1999

By Me (Hisanori Mishima).
(November 02, 1999)

ECM B1=1000000 and PPMPQS

(126 562 (379 466143669583142938507904354299 137687833286490725367937808370679) (P 35))

By Masaki UKAI.
(November 02, 1999)

(100 649 (333785436290369441306840201) (P 86))

(110 931 (11 4621 361351 13365201851 287704212889457487012451) (P 75))

(75 589 (151 3301 170535451 255607201 50965165050122344188485546551) (P 60))
(75 931 (151 751 446671453070121476101) (P 94))

(82 620 (83 20657373007 25476076067237815639886764997) (P 72))
(82 775 (116278764477300376179396473) (P 90))

(88 500 (1269879601 520061491841 4359783698057840998913447102323009) (P 54))

By Igor Schein.
(November 01, 1999)

(82 724 (83 2707 1799081 100228426635152719126319 3276621667756240887810893843) (P 53))
(100 703 (5 401 1301 11801 12601 27907177825877457101 69484927727170445454272678401) (P 52))
(110 388 (661 5281 428674016909169461 50477544292130770441926116832907029061) (P 42))
(110 754 (11 331 57953941 5750554151 679846328905811 14379169226267901869761652705665391) (P 46))
(110 876 (11 25301 77551 48428841729511 55125401432201 662094156569641394608688751491) (P 51))
(110 904 (11 3410548001540405221 20728190437279394521 42137952698201322456829836821) (P 51))

November 02, 1999

By Tetsuya IZU.
(November 01, 1999)

by ecm

(41 447 (3972573016645301540599776729128171) (P 73))
(41 585 (83 2953 10169 591384654953941410656263794683) (P 72))
(41 764 (83 244158032197 47193072874461146965185435509131) (P 71))

(132 461 (99120707324707426028315206981) (P 78))
(132 556 (28201714100192409481 819529073938785119009242647913) (P 61))
(132 646 (18174280741 2580137513967589292849563597) (P 75))
(132 696 (1366861 29926592053953409 18950082653397956562658952797) (P 63))
(132 753 (16710287353 57060117181 69767668793014467527457405817) (P 66))
(132 870 (32826900793608730348432201 115555039737326423070373153) (P 67))

by ppmpqs (programmed by Mr.Tomabechi, Ver 2.5)

(41 378 (2069826229476847 417222320350482532264925482922109797) (P 53))
(41 725 (83 264913598342813811820065173 541603073212586469005335065919237628751551) (P 45))

By Satoshi Tomabechi.
(November 01, 1999)

by snfs
(41 356 (5705132899580272106902016559207590387) (P 66))
(82 273 (83 821 35119593054930052803576266282621444035991) (P 53))

By Andy Steward (October 31, 1999)

by ECMfile2 (Ubasic - KIDA/steward)

(47 274 (659 5469822589419434641561783 8062478894961362624447945437011059) (P 51))
(47 860 (10659977 10544680452215893 4656921450952890761724527 18774296780073178745175981911) (P 59))

(49 860 (21122792132051 50837872577648303654711) (C 88))

(53 443 (12702934637 311765411663460132189437) (C 105))
(53 567 (2333 64661 3406841 62029717 957579322660090999373 76214767004605069141363 2222548731769089764239921) (P 53))
(53 673 (27031 4449646162783048349831 43111650514308909908467 133149803022468652921667) (C 76))
(53 979 (107 4877 179671 67308522769704841 930434162331076213138399) (C 104))

(59 520 (82487689926576627934421) (C 135))
(59 567 (3317807 23480676078496670179347739) (C 128))

By Satoshi Tomabechi.
(October 31, 1999)

by ecm 
(98 610 (116131 41961244747654246203799) (C 90))

by snfs 
(82 222 (83 4486852684152607978171617584155456012568381) (P 50))
(82 247 (25339 934720019997612545083609631) (P 65))

October 29, 1999

By me (Hisanori Mishima).
(October 28, 1999)

By ECM B1=1000000

(114 378 (457 8896710218408322062759825616739) (P 60))

October 28, 1999

By Yasunobu Torii.
(October 26, 1999)

by SNFS (programmed by himself.)

(108 699 (1297 1621 62924756002850740402829320219337206673575261) (P 53))

It took about 11 days by pentium 150MHz, 48MB memory.

By Igor Schein.
(October 25, 1999)

(55 520 (11 331 991 42131 30973471 50959931441 344970675000083519757701 15406616728585898514975761) (P 31))
(55 527 (44771 15243167889992460472281701 61119104950295350065750203111) (P 51))
(55 538 (22111 14575991 1919248750796979361 580876505143571247235441172990041) (P 47))
(55 903 (6271 4488331 349479837139378508865772938271 12252797465562519814676367421) (P 51))
(75 351 (151 1051 61570332577326151 5582914656696411632683934324401908751) (P 44))
(88 845 (617 3433 43913 6563455097 951463746575390854697 1389868299785355365810713733679089) (P 43))
(82 654 (83 2789 90681214921711 128972616993611 336334917473994461609976714746658890381) (P 41))
(110 861 (70951 1192754531 495344153056046983816113691 141980469843182293676985932274837841001) (P 39))

October 28, 1999

By Tetsuya IZU.
(October 25, 1999)

by ecm

(41 508 (83 1686413930527 5236790376930629741982324331397) (P 64))
(41 550 (18511799771713896309483162361990133) (P 76))

(132 279 (238606633 42660554859528804824555557) (P 64))
(132 280 (397 108230067312716533161017714521) (P 67))
(132 582 (397 5715733 843845886376347229 76825028133172500671138637913) (P 55))
(132 630 (5452379461 1221665486754716904658947949) (P 76))
(132 694 (20593 35509 1101529573 5881140538608182726985286753) (P 68))

by ecm + ppmpqs (programmed by Mr.Tomabechi, Ver 2.3)

(132 485 (1784773 128911167236053347036748153441 9305406209295485040120484272301) (P 42))

by ppmpqs (programmed by Mr.Tomabechi, Ver 2.3)

(41 267 (19302883 44418264337811592792031950238853) (P 59))
(41 780 (41 83 2297 83787954492949983719 13517880274239023343959172751613686292860261) (P 46))

By Andy Steward (October 24, 1999)

by ECMfile2 (Ubasic - KIDA/steward)

(41 505 (83 821 155719 1115955335592207144918353606488399) (P 66))

(43 231 (947 33001238419863554068748521) (P 71))
(43 341 (1291 1363273 57724801943663714670442783) (P 72))

(47 224 (641102097552875398484473208497) (P 79))
(47 231 (249137473251926771336411707 835624654166964179060119488293) (P 53))

(49 341 (4822800166534805084980253) (P 82))

(53 505 (20314720509456036457 13138995114492488082251) (C 100))

(59 341 (827 51803 2784792905629843 46839686061387917350069) (C 102))

(61 271 (101893303 979923439002325756392683 7942644763600055552590303) (P 90))
(61 309 (6833 2286677003588429 67781034356915615089124107) (P 105))

by ECMfile2 & PPMPQS (Tomabechi)

(43 902 (947 23362331 1922592502687398089173 3181928847221703750723825761 23809782335942019728773451837657) (P 34))

October 24, 1999

By Masaki UKAI.
(October 23, 1999)

(108 955 (4969 18361078921 754324994450800500672900349777501) (P 61))

(110 861 (70951 1192754531 495344153056046983816113691) (C 77))
(110 986 (11 182821 259381 2361250579601 178148632912031 5520235754439140781714911) (P 57))

(132 184 (29173 86402045751000977383430489007553) (P 55))

(150 910 (1051 204393968113652910103116548101) (P 87))

(55 614 (11 367810134613095791 379945498702991431064985022091) (P 64))
(55 903 (6271 4488331 349479837139378508865772938271) (C 79))
(55 936 (661 890231 35971321 64392525095426905301 157900083769998506289315205871) (P 54))

(88 775 (89 167165183386991027657 1978076181791802786442654049 8135143647011895000655464230969) (P 36))
(88 845 (617 3433 43913 6563455097 951463746575390854697) (C 76))

By Igor Schein.
(October 22, 1999)

(138 204 (1657 15319 120880968734263 107133753716529604448821302411121) (P 49))
(138 398 (277 136621 8963239 41726952213244306273 4306626391091975866967838171459848131) (P 44))
(138 666 (139 277 120889 9496471 67150391236953947959002679) (P 82))
(150 284 (151 2304479640141751 8051767621376109292247407501) (P 53))

(October 21, 1999)

(138 119 (139 2347 573253 94337306852295629705407053349632555301) (P 43))
(138 133 (277 212383 309811 5292968441223351919) (P 62))
(138 975 (139 829 3727 4003 491833 2393473 1940434728094920217) (C 89))

October 21, 1999

By Igor Schein.
(October 19, 1999)

(132 583 (2113 22365817 5834619913 14860177861 13335889718737772186198577529898089) (P 46))
(132 649 (516990541 61292801272200932352601 4280709043522924701477908450672353) (P 48))
(132 745 (1136389 1886809 17288171400543988346161 590538163233981169058493095917) (P 51))

October 19, 1999

By Igor Schein.
(October 18, 1999)

(114 701 (628414018350552825396534836569 1038826647309950256463254561311269) (P 40))
(138 937 (277 7867 11593 2261654677 4326466238907156466303 4099065018305521380219272201424571) (P 56))
(110 303 (11 974821 478253487911 555270604049088206854848499524413412221) (P 42))
(110 542 (142308431 20964888011 28208849791 214010862460242056484084213492540240911) (P 43))
(110 550 (949961 392506462967485407727231 43889843419090593598448007988591) (P 49))
(132 316 (261757 6069757 8968213 204205039062584761143166084873) (P 52))

By Satoshi Tomabechi.
(October 18, 1999)

by snfs
(41 224 (3691 517978223389182985662140970388772456186785561) (P 46))
(41 231 (83 1380594056167983135956617187420549887) (P 57))
(41 237 (43133 2684750235788863053012149962126608584891) (P 51))

By Tetsuya IZU.
(October 18, 1999)

by ecm

(41 742 (83 119344441 13441349361547 109721208080645558315421262746276193) (P 57))
(132 315 (1453 91081 207741821458657237245175441) (P 66))
(132 760 (10778197 1008663707944030513 306531942987026300508681692449) (P 61))

by ppmpqs(programmed by Mr.Tomabechi, Ver 2.30)

(41 294 (348114029117 198306934249900911104952624282124837603) (P 49))
(41 341 (83 7793528620393 104168871981396952837091891025805241) (P 52))

By Andy Steward (October 17, 1999)

by ECMfile2 (Ubasic - KIDA/steward)

(43 452 (173 12377369221261762259780957) (P 85))
(43 540 (95633 133494218766927419657 5260345582913582571015700105646329) (P 56))
(43 647 (431 68760750203 6058585050599360882855639967823) (P 74))
(43 703 (40163 73961 356227435367 9933152093581 1294996943475643282346141 236911276329624091473514613303) (P 33))

(47 388 (31397 1385480617905308909483392001) (P 88))
(47 469 (659 5641 41737 376847 822519482231363901667) (C 86))
(47 647 (2094019775798129 1142432018751828860750753329163 2313240472322675427996362646931382351) (P 48))
(47 698 (8727619 6678784881719 10728314176054199 52738872643494723023882559677394839) (P 61))
(47 946 (122895977 1049712676721349941 16148403016623529734709883) (P 86))

(49 698 (1471 880488793830143284082437 735151294791105748525335934709) (P 63))
(49 740 (628970835109 25813231199349058739 766290945339509484821664240287) (P 60))
(49 925 (7 1471 5060892971 44401316191 35531795320434741233611268249) (P 72))

(53 159 (107 3923 10177 6419843577931661034373) (C 84))
(53 162 (743 171955159312553721295620073223) (P 83))
(53 388 (743 32352090401 613556493620724320496492511) (P 95))
(53 452 (506103674281070561 1472470156052559777956037859) (P 94))

(71 102 (853 26580407741 4883636637723086509919) (C 106))

by ECMfile2 & PPMPQS (Tomabechi)

(69 145 (967 118681 208275467461867527393499 471863049910745107828408567063) (P 35))

October 17, 1999

By Yasunobu Torii.
(October 16, 1999)

by SNFS

(108 694 (109 391885532504206879474251420892670307492253) (P 59))

October 14, 1999

By Masaki UKAI.
(October 13, 1999)

ppmpqs
(37 997 (223 4227103 60647006582211182072136278931267074907561119) (P 56))

ecm
(100 730 (82338258273701 1030212047530488617595884176001) (P 71))
(100 917 (5 101 10060132801 16597385793496736216351401) (P 81))

(110 370 (11 13207723239371 155520155794863225662574961) (P 63))
(110 810 (11 171491 139593496241 731408201908535524033211) (P 76))
(110 862 (74360968771 27743544108828605668548631) (C 82))
(110 898 (11 6250861 219036573033113336221271) (P 87))

(114 701 (1038826647309950256463254561311269) (C 70))

(150 533 (1697163057978151 52923261402541248732497851) (P 69))
(150 575 (4051 24863675467665037574197084501) (P 79))
(150 580 (139110204215546251 18084785628680711280715801) (P 69))
(150 636 (1051 511721187563171636553751) (C 86))
(150 663 (4510351 325594765827855749688579001) (P 80))

(55 608 (11 5530108797468155671 1738172894666613794103991) (P 68))

(75 892 (151 397051 17222347715363145934687351) (C 86))

(88 142 (81981446465355687527113) (P 64))
(88 595 (89 353 604559269047188810612753) (C 83))
(88 613 (677179143869174667266041 6308225025186415101447130148113) (P 57))
(88 862 (89 750817 10144289 4051455118997240304902105137) (P 75))
(88 928 (89 176353 4436267089 3826964122956337856153) (C 81))

By Tetsuya IZU.
(October 12, 1999)

by ecm

(41 469 (599679422794837245320295216103) (P 78))
(41 946 (83 1231 2288964845445892894552132588073) (P 84))

(132 434 (197883649657 387676235543050387592678449) (P 68))
(132 464 (265717 714279120835633 2942643186558128456601033397) (P 59))
(132 612 (80549650511464344741723853) (P 86))
(132 705 (6742984844025621556958320729) (P 87))
(132 835 (14653 1520025277 76942890949 2970942195148363779819434773) (P 66))
(132 853 (3301 288462081884051013473446648237909) (P 82))
(132 919 (397 250848576581501886360999160353926980753) (P 78))
(132 921 (888493 336187235473 62667429254482504608101577061) (P 73))

by ecm + ppmpqs (programmed by Mr.Tomabechi, Ver 2.30)

(132 397 (8688238342287397861907180341 56678163884491729840360453239613) (P 45))
(132 710 (1021417 19097261953332426828759433 274346321682529959049118702629) (P 54))
(132 924 (397 19790233 5733576582667210067737 3649935021268300271382919297 10213804635689656432973264581) (P 32))

by ppmpqs(programmed by Mr.Tomabechi, Ver 2.30)

(41 452 (41 83 2953 4019 139729 2002523 514482771740159392892000816902982043211) (P 46))
(41 498 (5413 6151 3106079 8955647303 2084149343101068425512723473465296339) (P 48))
(41 703 (1723 86461539149 68498121839080807 4607853608959936945539919311224341613) (P 47))
(41 932 (339071 25616179835121682504898421743 663375957435000086179601845228061082194939) (P 44))

By Satoshi Tomabechi.
(October 12, 1999)

by ecm 
(98 382 (502465803443983 70650745062076488779) (P 74))
(98 466 (417089 187942441 406610208714725180299) (P 78))
(98 494 (24697 95755507 33002339707582150870635469) (P 76))
(98 515 (197 1471 148079 12021857 65921554772926479733) (P 77))
(49 736 (7 30375061527847 41752393648897 2765628981672310769) (P 75))

October 12, 1999

By Andy Steward (October 10, 1999)

by ECMfile2 (Ubasic - KIDA/steward)

(41 675 (83 111767 100833172799 415524038736148807186380224679181) (P 63))

(43 384 (431 5564756484186091869065759 7727482453426388753046355463) (P 54))
(43 689 (43 5280487 669789504450818714922157419161497) (P 79))
(43 851 (5865753857644898080120742001941) (C 93))

(47 325 (283 659 836841581 14698320001540543646119) (P 80))
(47 467 (107904371296112724878570673929) (C 94))

(49 631 (7 197 3823 2850037 73209260451893530421939203) (P 79))
(49 803 (9261420323 16684699845305639202292973849) (C 84))

(59 908 (4721 271088399260086375739601) (C 145))

by ECMfile2 and PPMPQS (Tomabechi)

(49 426 (39397 156703 1336915571021504272315328113 70544487289017573154878994215100787) (P 39))

October 09, 1999

By me (Hisanori Mishima).
(October 08, 1999)

by GMP-ECM4a B1=1000000

(126 754 (1824859 166757880838950547285733655769) (P 69))

October 07, 1999

By Yasunobu Torii.
(October 05, 1999)

by SNFS

(108 679 (8829974197477 185334611411687336120799150877) (P 60))

New factors from Prof. Brent's table.
(announced from Aiichi Yamasaki and Andy Steward.)
(October 05, 06 1999)

(100 733 (5 101 401 5759157255076618968002401) (P 85))

(110 719 (656064478573139155877998547281) (C 85))
(110 784 (19141 845628636631651934504927886799751875681499063835527561) (P 58))
(110 941 (11 4081991 165184471 923060725390729445809102161041) (P 74))

(132 784 (475729 8341873 878210088751600066179419875616704572986588209033) (P 56))

(55 379 (11 167667798540592490696786652799301) (P 70))

(82 719 (83 739 1914947 47989553580064245790383459413) (P 75))

(88 563 (89 1321 38153222000290246567433 87997015990946625267528026103209) (P 51))
(88 613 (6308225025186415101447130148113) (C 81))

(150 347 (279451 5742426331431199529824439276551) (P 66))
(150 809 (151 23251 18033601 1361869980227655094501) (P 82))
(150 997 (6121123051 1765220423137567779062716051 23180755491509430569937520651) (P 55))

(43 619 (173 51343 107388608257457117924227109 33665363381642344882624794351733) (P 53))
(43 937 (3011 914102773 383223669223 6604976671990134174550447 93533816429507057747477886329783315369) (P 38))

(49 827 (7 51059 1013673162127379271581496721 43254887788435856433725172461625569) (P 56))

(86 617 (104533424303814769 1524891841387843444786941287) (P 73))
(86 719 (3613 5984618667876146154137 822108891998380616054317861) (P 68))
(86 787 (3613 13155421 525235616770959740541541) (C 88))
(86 877 (17126249669 18161450933 8860691831472821022978863) (P 79))

(98 593 (354876719 4571385170508805022753) (P 87))

(69 277 (3037 613361963152584186845839 1263305263129806061240755675701491) (P 48))
(69 479 (277 57449223419954107039) (C 96))
(69 661 (14223432003375443083 2113011982138705347757 818097434924577114373733671) (P 57))
(69 823 (47556137221 171864878614688144593 8634778832326525892347 14078411855085831086684519209) (P 48))
(69 991 (107910364898617 1147185706319815304749) (C 97))

(92 349 (1933 16996909 880460629973907832321556081) (P 75))
(92 599 (80961583634207693 3202335892770931496309) (P 84))
(92 617 (31189 45541 5730589 2080577187578060691397 60355336853834386006265112289) (P 57))
(92 967 (1013 15733 4102713382193 3727091568561392785973 2293568085839769673209684677) (P 63))
(92 977 (117805997149 45074939340373078031657 70363472421038479138693 573634799980978751489654706546351557) (P 40))

(138 441 (532833941184541 25811065122057230634896752078244095717) (P 65))
(138 503 (730661092734969484386457 172463194995987586460289752269) (P 66))
(138 653 (1511101 313927910759284591488247807) (C 92))
(138 857 (1657 2347 184231 419703107371 420400853616768467864557 6739493824691916515420040625856859012073) (P 43))
(138 859 (58099 2684145678967 62386004941717920247144842373) (P 84))
(138 929 (829 4969 24979 32707 2865808201279363133869) (C 94))
(138 937 (277 7867 11593 2261654677 4099065018305521380219272201424571) (C 78))

(47 631 (941 1223 2828179 297877973293053264179446377841 2149512027144932910975058305116283353) (P 51))

(94 593 (283 61544185063 12519772902856586123101079710849) (P 84))
(94 857 (283 659 12503 17770656103 92705529809556331 424926969335484636892563499 7018158220251078112590572785219) (P 41))

October 05, 1999

Finally, phi(74) series have completely factored by Aiichi Yamasaki !!! (October 04, 1999)

By Aiichi Yamasaki.
(October 04, 1999)

by snfs(ubasic)

(74 865 (149 3488463728835703426909781002244947665111394318753) (P 56))
(37 675 (13356555348072208460727043480283024360401) (P 62))
(37 704 (37 18353 14038517049069456875428410533078060191736431) (P 54))

by GMP-ECM4a

(57 884 (189127 49920888151306167726073957190769187) (P 67))
(57 675 (229 16487026170107643076500300671186089697193709) (P 57))

by ppmpqs(ubasic)

(37 498 (7126201 11963811885686930351039256928946080390866961) (P 48))
(37 554 (149 511933 7882395615591502820617284844829867) (P 57))
(37 684 (149 223 27796843 24671532767110020976132888539100244659) (P 53))
(37 956 (223 17539 37223 157769 2879714143463574373119855451840027) (P 58))

Errata. (error of digits)

(41 768 (83 12794060059679 51943855652329723446577042189 6876384497662130146068588189664523) (P 38))
(132 768 (270337 187373840221657 1066820795003534094312097 545250762609500969623689581737) (P 42))

By Tetsuya IZU.
(October 04, 1999)

by ecm

(41 615 (1723 16811 230339 454609 1465423 2404917676753239282587336390914337) (P 54))
(41 628 (6397 418447 6087662682994513538797095977) (P 75))

(132 360 (2132772049 3746175370081 1621279524874438730970609601) (P 54))
(132 374 (6337 55837 5127541 64779029092000814087355541) (P 62))
(132 558 (661 116916757 290144135991822097052517185253937) (P 67))
(132 565 (661 3301 133981 66428769397 3523619886177530091110789269) (P 61))
(132 572 (661 4376600172733874713 86981356940379824450495430349129) (P 57))
(132 667 (2377 149953 62333701 327444746625284238364733166409) (P 68))
(132 885 (34842385034064055532114581) (C 93))
(132 931 (495001057 103939280677 164989670124973 186056265369020990618794719337) (P 56))
(132 932 (228586249 24829269697 4162993036919886594863390041) (P 73))
(132 933 (56893 7722468464497049779053770233) (P 87))
(132 942 (63562526459199793213 61800739961690036081644053660037) (P 68))

by ecm + ppmpqs(programmed by Mr.Tomabechi)

(41 753 (646429192069996213953169379334749 226329313981681857790796794166262859877) (P 44))
(41 997 (220586479 31874363650078754712315973376111 41885017034208450153930925125184957337) (P 43))

by ppmpqs(programmed by Mr.Tomabechi)

(41 325 (106773651344119379 508934594522107458995017203380600004781) (P 45))
(41 384 (5768818878607130947 954050838033160277445026254967663) (P 52))

By Andy Steward.
(October 03, 1999)

by ECMfile2 (Ubasic - KIDA/steward)

(43 403 (173 4903 509999620273556393 7875304511611690727483983) (P 61))
(43 489 (32498080471425158308521820133 213224417119010242232027157229) (P 56))
(43 660 (431 947 4215199194108497580527 49197702866691935558632109) (P 66))
(43 891 (82900607974677320235812940889) (C 95))

(47 519 (29278969460793709 3075805111969914382682839813523) (P 78))
(47 602 (142787 31741639 43505009971 414155526559 87050427365068916867862807827327) (P 62))
(47 660 (941 302471530937 112603298313320961560933653) (C 90))
(47 959 (41960003 1334690209 5925231329231701964400153921659) (P 90))

(49 488 (883 515873 686197 974917896577549655451257579533) (P 69))
(49 602 (491 154057 114642000703051483425603701) (P 83))
(49 992 (2196694378693739 33810065370265204754707) (C 88))

(53 672 (107 179471047753 13132277099707 5206571540084561 10233559840504486751) (C 86))
(53 757 (20233345439737 19508830503052273 6380157436020630738571) (C 99))

by ECMfile2 & PPMPQS (Tomabechi)

(47 992 (128969 10645239396476158521411181 871864401189981235808739019709 81192424940212766897203831470849739) (P 43))

By Satoshi Tomabechi.
(October 04, 1999)

by ecm
(49 616 (823565783713800582750667079) (P 91))
(49 660 (9311569 48258820420236923942803) (P 89))
(49 686 (2110870101676186687691) (C 98))
(98 166 (5708011 3216540138667421626366099795093) (P 56))
by ecm + ppmpqs
(98 945 (197 491 6469 6959 111427 3685209440767 4221561094551431 30322536244471958411 37540111814682076556126988889) (P 32))

September 29, 1999

By Igor Schein.
(September 27, 1999)

(98 878 (720791 361047472573416973 54359660684855830879 1148490150234265667407101528015599) (P 48))
(132 719 (203017 3707617 19505579662195781349816721 21121533345013129395014804346841222969) (P 40))

By Andy Steward.

(September 26, 1999)

by ECMfile2 (Ubasic - KIDA/steward)

(43 962 (11783 41453 136397 881055415348918050349 95397871075910470798239401 1199737167749225585428619453) (P 38))

(47 521 (1188412558710679276967851 247129614113435906909581194949) (P 72))

(49 273 (197 57527 108076949 14043304658762658281919266540932253) (P 54))
(49 521 (3529 11173 423577553312726368066116356171) (P 77))

by ECMfile2 and PPMPQS

(43 637 (173 2064947 21343557813174583243993426802383 30165505965295125327901419094673) (P 47))

(September 19, 1999)

(43 221 (947 138105635825177493796617631993) (P 67))
(43 238 (2753 348731 4780483 128692317211491304681651990987487) (P 53))
(43 878 (431 76214104297999 164681721498706833386448001) (P 81))

(47 878 (283 5261933 12518921 10604177237687856967278601 648562531454470626550878957037) (P 65))

(49 856 (3137 12383771 16973699 1921005951139096159091065747) (P 79))
(49 878 (197 491 505021587588243402854899) (P 95))

September 28, 1999

By Tetsuya IZU.
(September 27, 1999)

by ecm

(41 672 (233369459 2095842328268977373024512676693) (P 75))

(132 175 (3037 85411787594723878862814882002989) (P 55))
(132 306 (15047030165418109 128647540585289457938949225624637) (P 52))
(132 454 (51613 3184213508653 3319642832769614520664826629) (P 62))
(132 497 (175882186338118636861 730297480635031277520816133) (P 61))
(132 611 (40129 129229 6995686686649 2341406594180559568782606106758997) (P 56))
(132 629 (661 2410189 6109913499141440026078634767141) (P 72))
(132 768 (270337 187373840221657 1066820795003534094312097 545250762609500969623689581737) (P 40))
(132 897 (397 165397 3819232520482166521477552863121) (P 80))

by ecm + ppmpqs(programmed by Mr.Tomabechi)

(41 660 (667947073 1164198459964341114424980544456793 171557156374787537680877256361600589) (P 36))
(41 757 (83 2404283525279878889821137183978887 5352079402102740262213182902035978039) (P 44))
(41 768 (83 12794060059679 51943855652329723446577042189 6876384497662130146068588189664523) (P 43))

(132 614 (417649 2200546261 896593035608038989329760817 86923053155963228702457254461) (P 41))

by ppmpqs(programmed by Mr.Tomabechi)

(41 403 (145633 33801214671233773 2786692191253395146208941935486189558271) (P 44))
(41 634 (2969577490166230803163152186929 10679728763201223261792914497739321) (P 48))

By Satoshi Tomabechi.
(September 27, 1999)

by ecm 
(49 642 (197 79087 33447300495865046499101) (C 89))
(98 890 (883 302429 1027727 1653224825274982552697791) (C 86))
(98 916 (7 8527 17982687866787712097) (C 101))
(98 934 (197 37633 101845641913 46872636890496914869) (P 88))

by ecm + ppmpqs
(98 899 (634061 824006737 72317005722432011479 5055716823489345438979 264911536764059160696491) (P 45))

By Masaki Ukai.
(September 26, 1999)

(110 288 (11 2531 1044403717281174303340615093481) (P 64))
(110 740 (331 991 3536822323741899339841 1065048456262313240719871) (P 64))
(110 766 (11 65170709787423614215601) (C 92))
(110 798 (11 1113421 2987653927252171 82478520388989304066479041171) (P 65))
(110 817 (881 3851 38501 46010581 1627528931213335235115655901) (P 71))

(132 287 (7622926214065803525654626673961) (P 68))
(132 619 (1563436800623668482838222671457) (P 82))

(150 371 (315954901 14622599284040348590218890701) (P 67))
(150 413 (151 601 130051 5793827138401 6316094441698882220557981651) (P 55))
(150 478 (751 415201 1267016045666607451 662245521701073104226301 1095249574690997956939651) (P 33))
(150 686 (151 1649101 16758901 1490846341041009301 446862538950903100519051) (P 57))

(55 796 (11 991 3230521141 104784972325570565520056291) (P 77))

(82 301 (83 739 575097265289 383510935834931168756593) (P 60))
(82 844 (83 7123751 9634776747935882787072809) (C 84))

(88 432 (89 617 50514817 4026544880079706356221509969) (P 66))
(88 442 (89 154837673 302240630210396765227631017) (P 70))

September 27, 1999

By Yasunobu Torii.
(September 25, 1999)

m108_673 : c102 = p49 * p54
2028714350355930175166641109759588629658430256177,
317191405128236767953513168833289994847500565439368209

September 23, 1999

By Igor Schein.
(September 21, 1999)

(75 952 (13519651 17188051 880186831603348778425422151 9623170962285407978439421501) (P 50))
(82 429 (83 1696562085209501883043339843 576738757708196880447175893344491) (P 44))
(94 651 (27922231 264459603479 1933819463027 1168289448677605561 4398173889223511751967 1151518530157013789278747423) (P 32))
(98 325 (1699517 11419157 514342168649 8573809561648671810559144628113703) (P 47))
(98 810 (197 1373 20287 106220731 21512101129 45096200930761 4730677792436449282764889) (P 56))

September 21, 1999

By Tetsuya IZU.
(September 20, 1999)

all by ecm

(132 520 (397 8581 25609 238152058228058965251889) (P 75))
(132 728 (79594293769 14409932550553628495663428657) (P 76))
(132 737 (224154047048648185393 513344489334135400140155182117) (P 65))

-----
(41 634 (2969577490166230803163152186929) (C 82))

(132 715 (5213209 9782879450161274830578481) (C 83))
(132 719 (203017 3707617 19505579662195781349816721) (C 78))
(132 768 (270337 187373840221657 1066820795003534094312097) (C 72))
(132 771 (3301 129093944311923078436782901) (C 86))
(132 870 (32826900793608730348432201) (C 93))
(132 875 (3052633 66813363547807889731753) (C 89))
(132 939 (1756716434369123369007889) (C 95))

September 18, 1999

By Aiichi Yamasaki.
(September 17, 1999)

by snfs(ubasic)

(74 938 (3934025018723 76276956322900358938821994231862432309) (P 57))
(37 882 (2500323321631 46918733029880551174933961048423463705034799) (P 50))

by GMP-ECM4a

(57 410 (19 4295301140234080817668790563877948928784351) (P 51))
(57 583 (27375961 2996982358830185434617796663394839149770851) (P 50))
(57 777 (1112725997269 855770672332272559232412929900590871113) (P 54))
(57 778 (229 7297 671233 5262853599292038673772307523197650955397) (P 53))
(57 985 (706117 1129697259368193343452404911064413) (P 69))
(57 604 (929783164584762484657943476459) (P 71))

by ppmpqs(ubasic)

(57 875 (8348479261590726945806676287926641763393) (P 66))
(57 635 (138087130025301273315133920189169) (P 69))
(57 753 (86413 48035891433890888848268734110251569) (P 64))
(57 957 (19 40994313931 1745424913778116033669776287751962017) (P 60))

From Prof. Brent's table update

(55 599 (11 366683850214293518615831) (P 87))
(100 929 (1601 77101 1518901 339075755994482954993042501) (P 78))
(150 283 (1951 68374996355148591302650859477246101) (P 60))
(138 389 (139 277 484503373 6344860964582826211385317) (P 76))
(138 503 (730661092734969484386457) (C 96))

By Andy Steward.
(September 12, 1999)

by ECMfile2 (Ubasic - KIDA/steward)

(43 206 (7330183671721135934989811727851) (P 67))
(43 424 (261521357 2076462691 230211099964513955905596372791) (P 64))
(43 835 (241771118085428543 1086462209735149041162174529) (P 79))
(43 959 (10837 200007374711006897021974295861) (P 92))

(47 481 (4536817 1587547508330283983027366587) (C 90))
(47 593 (2633 72958932402173919056443 6929246688767572308412876231) (P 74))
(47 835 (1223 22279 222023771 27885349920408368400283 7910766185623281160030578947) (P 69))
(47 906 (13774928543 147026822677518211 1092368408619753781177) (C 88))

(49 739 (692643622689434158530130594931) (P 91))
(49 746 (82903787 500850604692782554770421) (P 90))
(49 835 (601819 528907652771 6274845503284486514989) (P 84))

by PPMPQS (Tomabechi)

(43 698 (173 2285279 15608141 5052823015816336597699 1620501771967371926975940704053) (P 52))
(43 705 (3446278141007633471 85317944407843844989 98045824946917542319174590212947) (P 50))
(43 906 (18749 6525649286477 27020210124629713498796171 273677855769544661339068664393423681) (P 47))

(47 190 (14947 1116145097 48043516091 10807689835420942679115422278458103) (P 47))
(47 746 (8491195128111535389421 395482741489897950996314099831 1281947705491989704262631928816739929) (P 45))

(49 648 (417089 4130897 1308999623504180383136089 1982481188682242221298721884968219097) (P 46))

September 16, 1999

By Igor Schein.
(September 13, 1999)

(92 506 (1013 4877 1288829 26782673 849681635137616737 1206445418739806129) (P 63))
(94 146 (2351 8179 445279 549713 3346359421339256087341 437854869817686070250623382411) (P 30))
(94 339 (1223 1405207 3756617 189916478617639759651 1169548305502435812344791) (P 57))
(94 918 (119569 418771 540877 1494189958841 585490589616240749414540417) (P 81))

By Tetsuya IZU.
(September 13, 1999)

all by ecm

(41 724 (4211029 2543149152410760522787) (P 87))
(41 945 (49037 2245489 14356495079650230357615392987) (P 80))

(132 414 (397 3037 1194601 3178005997 24717202362532021175246689 91084166933407357389593497) (P 32))
(132 714 (2113 4357 2796376969 3064655214048146016083413) (P 74))
(132 764 (661 15223719621529 205746649703761 14823439369195924713317809) (P 60))
(132 779 (397 242965438376233 495469556707857654081193) (P 75))
(132 894 (34055473 307613745988429 1576717907640510593629604209 636569658580203826876551344533) (P 40))

By Masaki UKAI.
(September 13, 1999)

(100 407 (5 101 1172401 3799345693429307211768701) (P 72))
(100 417 (5 21206401 1670718561037508628925801) (P 73))
(100 513 (5 101 2666691424080001 72496504599736902293201036501) (P 62))
(100 514 (401 552301 5507028664055516265586901) (P 76))
(100 609 (101 3701 49520224419908654501 12869265466135520990101) (P 65))
(100 623 (5 39901 1613458843501 303119067538497305677702981501) (P 65))
(100 911 (101 277601 10295227801 375443633503598112458701) (P 78))

(110 594 (331 946317791 8166407318156404360891) (P 78))

(126 438 (127 379 10482069502020101734979811793580328199) (P 54))

(132 513 (6348037541869 682873637597581 2544896938546756471718569) (P 57))

(150 168 (64342132829637483365286901) (P 64))
(150 310 (4078951 100790953390657615686844211401) (P 65))
(150 328 (111466268970019853538601) (P 78))

(55 420 (85613111 7085097547221895507603441) (P 73))
(55 763 (11 7481 238934995694213673331806341) (P 85))
(55 898 (97963998250849752690268957171) (C 90))

(75 266 (3125159767179301 7920366993501878085601) (P 60))
(75 693 (6301 2600722801 38201920720710513751 93199490379930048870601) (P 58))
(75 933 (135601 102861181051 2429660500395216830251) (C 82))
(75 952 (13519651 17188051 880186831603348778425422151) (C 78))

(82 339 (739 3057227530816848269 64954652655038898863648071) (P 55))
(82 411 (83 280651682557255800346789) (P 80))
(82 429 (83 1696562085209501883043339843) (C 77))
(82 568 (2543 15991 1127911 16520951 2273503088579145940922723027) (P 62))
(82 615 (83 83 61404248198486450981895649) (C 82))
(82 621 (5003 310781 8931701171 47508679166180746963151) (P 70))
(82 650 (5167 1105334757431207351611 131518073454358977911039 45822710101053389903325667957) (P 36))
(82 814 (83 25913 364809097742940483299 23525930999954496490211 1306278837833273462520022799) (P 41))
(82 855 (1723 46946306147190405047082707999) (P 86))

(88 793 (9857 171892531835933830802583595289) (P 83))

By Satoshi Tomabechi.
(September 13, 1999)

by ecm
(98 734 (7 197 911819737529 2451999353191220665571063479421) (P 75))
(98 749 (327474850270419209 746538887214301189) (P 86))
(98 779 (491 2843 2703008926042541072153) (C 94))

September 10, 1999

By Andy Steward.
(September 05, 1999)

by ECMfile2 (Ubasic - KIDA/steward)

(41 300 (83 84346021 1973638899823111746812561987) (P 62))
(41 633 (24109 136531 2394510785203356764418844312211) (P 73))
(41 725 (83 264913598342813811820065173) (C 87))

(43 240 (12146436367889884904510663707) (P 72))
(43 489 (32498080471425158308521820133) (C 85))
(43 640 (223724959 119784255653 7255271216851575132365487173653) (P 68))
(43 720 (5764573429859 230969388295244748799149041) (P 81))
(43 856 (173 72295230233 3909662489317367961580842816949) (P 80))

(47 240 (283 2351 8715918084013104479101) (P 82))
(47 266 (96723718073876454951391315801) (P 83))
(47 312 (283 1678277 20301660059 46542177889 21281787850847827945909) (P 63))
(47 720 (647110157056807109474983417949) (C 102))
(47 792 (147840527216210413209376606709) (C 105))
(47 793 (1787 14001800363 15894183092224015760173193 6123585466262306508063387631) (P 67))
(47 816 (283 3071063771627616326541448923217) (C 101))
(47 824 (8273 4227131231569948301300707587277) (C 100))
(47 856 (40932951075596897631337) (P 113))

(49 390 (197 173290717153 27435140748200165542239707) (P 70))
(49 643 (491 5881 533339623607961591586831 1242968738162593914394511) (P 64))
(49 747 (197 4987501967441954891020654537) (P 91))
(49 777 (8679238094353 204193596471137867110567511063) (P 80))

by PPMPQS (Tomabechi)

(49 547 (7 39397 1071664760337802070421617128333 626124939524009859536636049542903062267) (P 41))

(53 494 (1249847 23331184594453 12670576909156542191 20745540008226144514051703 63265637756742388704685447980224773) (P 42))

by ECMfile2 and PPMPQS

(47 747 (283 1693 653344315502177270680926769 16620082267443597455865604489 811514373568159620088805536987) (P 42))

September 09, 1999

By Tetsuya IZU.
(September 08, 1999)

all by ecm

(41 236 (83 2633499320598680400102630307) (P 66))
(41 456 (83 231120915699337657199 6396521878654938621906977336426107) (P 51))

(132 377 (1198033 65824507503914149 10030768164222079909424288752177) (P 50))
(132 380 (397 52009 12915527969065869951227161) (P 71))
(132 910 (1321 13270093 2165976655595467573 1109734143066016474583067481) (P 63))
(132 915 (4231393 76123565233 24442259445481563181 835056181636499629331604949) (P 55))

September 07, 1999

By Yasunobu Torii.
(September 06, 1999)

m108_666 : c96 = p42 * p55
349902078842341383104389803931116870109561,
1284704765689516208056080144804584395403518017296237293
m108_670 : c89 = p37 * p53
2481108105289343653624875787315925461,
36794123572269727119009003708828047781331497604775257
m108_671 : c88 = p40 * p49
1653292284509975044371881843293884773677,
2365331210179760963980193363848965352752218931661
m108_672 : c92 = p40 * p52
3365277938884934152378009881262188492853,
9877011325796977866636573009940427583630018708772753

September 06, 1999
Errata pointed out by Satoshi Tomabechi.
(September 05, 1999)

false (100 965 (102001 1132494131687134201 163414360565106898901
396629355458253796071591279485461201) (P 44))
true (100 965 (102001 1132494131687134201 163414360565106898901
396629355458253796071591279485461201) (P 41))

the largest prime factor 32120113470288828504358963788498463143701
is 41 digit

by ecm 
(98 375 (39084887607997511747830963489) (P 80))
(98 622 (7 1373 151901 530700479 706112811962210873386811) (P 76))
(98 642 (142060801 34621545224659 30896315110794388207) (P 77))
by ecm + ppmpqs 
(49 276 (2549 78989 2197874813 81205596396718818618791 26766645469008141632375832239) (P 34))

September 04, 1999

By Igor Schein.
(September 01, 1999)

(82 496 (215497 6041351 1892043371730286009439 2461024302931094352451) (P 54))

Errata pointed out by Igor Schein.

Correction:

<(92 366 (28168009 119493097 24481049235562489 1892043371730286009439) (P 54))
>(92 366 (28168009 119493097 24481049235562489 134473271542076347215867809 386231871247583492600261581) (P 29))

September 01, 1999

By Igor Schein.
(August 30, 1999)

(86 768 (680314009 264144200857 473121408071739744697 7232130180355346382283322793286201747) (P 44))
(92 132 (277 7177 7209673 5640838721202706383743081 4135587988899842832466493537) (P 28))
(92 366 (28168009 119493097 24481049235562489 1892043371730286009439) (P 54))
(100 965 (102001 1132494131687134201 163414360565106898901 396629355458253796071591279485461201) (P 44))
(150 965 (166376403723654720451 22675080954702407156753647951 25959385110705593306456843551) (P 43))