old log ('00/05..08)


Aug. 31, 2000.

By Andy Steward (August 30, 2000)

by ECMfile2 (Ubasic - KIDA/steward)

(49 687 (7 491 43938497 8714938441842966019093363540151) (P 78))
(49 964 (18804853160275292531 608114834727685453660367 420306058220071339282252007) (P 56))

(53 375 (136590011 4980122905460508045919489) (P 102))
(53 964 (3741589 15665873251371627721142369) (C 124))

by ECM and PPMPQS (Tomabechi)

(47 525 (733479103216571 512702839515319617067896118921 52455443408207722624967447849730289) (P 46))


By Henrik Olsen

(49 489 (42382061 92704571 11176441627614562477863362133124657817641) (P 58))

By Jo Yeong Uk

(47 805 (1129 93719 442271 9255130398550277876804034211 11517524793616122800996821937631226913727293) (P 49))

By Joe Leherbauer

(43 290 (173 431 1549 23632505760496115144742901323768161359) (P 58))
(43 650 (3011 6967 133387 3293411969 869681200231131546711834099643591) (P 64))
(47 465 (16697467973 12528083596403946154060323438037183) (P 79))
(49 636 (48620641924118957071361053749632097613) (P 81))

By Sean Irvine

(43 319 (1979 295153 2640163110762541640069190339219378051623) (P 57))
(43 357 (908591 191858347 713744918533157175833798970420883231725073) (P 52))
(43 398 (173 154543 627710647 24422568706619236573906303753678856117) (P 56))
(43 525 (173 14621 6168523 86020813 10326231737851320864121165678759836668207) (P 54))
(43 552 (761531 86756543 97022449 9061529915658964063947203485375970249) (P 57))
(43 964 (5910523 60966863403983296643423219 4336615094482034921355198920700329776839269) (P 51))
(47 146 (143821 204950489178377955590764053221128541719) (P 57))
(47 155 (283 2633 2704369948059839225660515232873) (P 65))
(47 247 (955511 1064049263 223745367770412361311236246073733103) (P 60))
(47 330 (47 5641 15511 451013 1373059 1540041030225910047318650681034348995713550287) (P 50))
(47 375 (1166306411 43033323686990701 41840901410601492189621200157010952362609) (P 53))
(47 858 (941 323549 10656726139 38080819713436747574021 29512435174080401091125296108915189693) (P 57))
(49 679 (197 776357 219941401 318711583 539251032805459406431633985351727429188115673) (P 50))


By Igor Schein (Aug. 29, 2000)

(98 584 (110434314756263 126498581494667997165223 1020033327090369741250378832340652501727) (P 41))
(98 545 (7 6219532369 3266945104596015851009 97902347376280553902186273) (P 57))
(100 892 (5 401 1201 22286860501 293987199910389551838307201 70252122274733305540262895842133301) (P 40))


By Tetsuya IZU (Aug. 29, 2000)

by snfs (Kida, Ver1.8)
(41 523 (83 76535029 6125527633436350406205722634417211456795315961) (P 54))

by snfs (Tomabechi, Ver1.1)
(132 590 (58477 10870838693990611131790691691733201) (P 73))
(132 609 (397 661 1436913017540368084261466979025233241531716484753) (P 58))

by ecm (Izu, VerB.30)
(150 834 (751 48363901 9485381085678449222310684061951) (P 76))

Aug. 29, 2000.

By Aiichi Yamasaki (Aug. 28, 2000)

by ppmpqs(ubasic)

(57 799 (18239940721 460438093078466952588893685959901884936538787) (P 50))
(63 568 (127 3907 3171771793173242390831248605115313936544490027) (P 48))
(63 570 (127 5167 632759881127027044221325940954533006630318777) (P 49))
(63 590 (127 23059 13566706340076906454626232876679417928404131) (P 51))
(63 680 (10711 12853 14624349058408058179776018159560867539) (P 57))
(114 415 (1897640948163909357210052625794669965439) (P 55))
(114 417 (2831176936457309820414148022693769246001) (P 55))
(114 704 (2281 945289 54290562611979494476172012857055052947431) (P 53))
(114 844 (19 87819144409 893118697466767325077666226515471) (P 61))
(114 854 (305407 7461073 432661709051386726639338811229969566503637) (P 52))
(114 988 (51871 7792444579 9332596019185798909598822269413769513) (P 57))
(126 504 (631 8999760660013874852708792200734008122687 (P 55))
(126 760 (3793844881 45567813431319747226622782432810755423607) (P 54))
(126 814 (2143 126171361 794639139044630785473974484074850913127009257) (P 49))
(126 833 (404034708547 136573119136155782104934336407) (P 65))
(126 980 (127 3509667558181 449859082993244962435437922470680607175543) (P 52))


By Igor Schein (Aug. 27, 2000)

(150 314 (151 1004031786260551 3741800689489193241098193771001) (P 53))
(150 428 (151 144558682783580851501 945589919091457705209327467458351) (P 50))
(150 880 (751 6451 1239001 90911270842432881237301 3062400337027257107229171885601) (P 52))
(49 332 (197 13179714437 197226572999 1259194369076477999764459673) (P 56))
(49 543 (17053 42043 91003152311 1349229426973 221434555357213829711883259686830119) (P 48))


By Takahiro Nohara (Aug. 27, 2000)

(69 111 (9583270793033120366828428410168031562089) (P 51))
(69 414 (139 5521 5579812027843561 12301427589590944617455281) (P 69))
(69 556 (20091697 5796954040369 142532787417217 236964969395044345709896929232532278135159) (P 46))
(69 568 (951787 9440596790920023410121511 50982858934760786112707911) (P 65))
(69 581 (139 829 2000112817470324048601 64691379184891081429399515427) (P 67))
(69 737 (311743 23323075987 2284205066521556881559557) (P 86))
(69 762 (139 920954354227 1273421684767138667433365419) (P 86))
(69 785 (2257324343074814757433 476875213729809850816480647319 822098707255979054387636886566057839) (P 41))
(69 999 (10820336707 47085184759 773047255384289763012433 781777767023674803840918546523) (P 58))

Aug. 28, 2000.

By Tetsuya Kobayashi ("Hamayan") (Aug. 27, 2000)

(55 365 (16061 4109318401 6031236091231746766217112067118113095817541) (P 46))
(55 382 (661 881 2531 357611 22302036702444827543919486148741) (P 58))
(55 856 (11 8767511424904658201454890531 3285537252431671602293009325492425981) (P 52))

(92 136 (12973 18283155646672560112272576169 22131325643550711040227556217) (P 34))
(92 212 (1735121 57803509203869130961111081 2576922759687676819556796577) (P 43))
(92 382 (810761503589 13912345802455469174269) (P 80))
(92 395 (277 1013 1289 634652498244627940534302964637 1075506537606072201889607310541) (P 46))
(92 456 (321596857 11026905641 12784836600932782628942473) (P 74))
(92 488 (829 12697 6165922802209 579386916603574405316717885321) (P 69))
(92 605 (277 5521 23369 103674985013 29849919846773472619386252569 3726106224182342478908210461613809) (P 39))
(92 640 (461 829 9309149448601 7380603832306830589 190981208763395060091525593081) (P 57))
(92 646 (476929 7942951298813 3169177176187261861 160079041765556251175897893) (P 61))
(92 669 (1477337 162791701 5179844541370976328818302229) (C 83))
(92 705 (1289 10467735038473337 5752410430826181369462737) (P 82))
(92 750 (154907117 155472181 636838360824193567517 42232994032889778402174893) (P 64))
(92 830 (1289 16087397 189264765413 1406542392224199294097301) (P 83))
(92 859 (145177 6237260158901 1333449173274156922033374184633) (P 82))
(92 969 (277 18676093 310411016592629666898589) (P 99))
(92 987 (49037 91541 4585373732294073170800573) (C 98))
(92 990 (277 669403668106210364259901) (C 106))

(94 960 (2539 18143 3153455507 967873057501713256967601861271 33207458575750143920136939209195581) (P 56))


By Masaki UKAI (Aug. 27, 2000)

SNFS 1.1
(57 558 (19 115970980723953529123651409670974405250233400241) (P 51))


GMP-ECM 4c
(82 341 (2214466521089233 1937266537852737268640642563) (P 59))
(82 862 (83 92269111567119466585693770517) (C 87))

(88 672 (1317835682503990295801 216969963880484783968162417) (P 66))

(100 790 (101 6430901 269160730351363955696551738601) (P 78))
(100 892 (5 401 1201 22286860501 293987199910389551838307201) (C 75))

(86 474 (7741 10269433 377318316154868849 727733447718422627759261) (P 61))

(98 468 (7 171175229 244706064877 14046385021438242706112587) (P 67))
(98 553 (117209 20260913 123683660715159233753 164487927917105013404122787) (P 57))
(98 584 (110434314756263 126498581494667997165223) (C 80))
(98 690 (55814722256047804639745317) (C 94))

Aug. 26, 2000.

By Tetsuya IZU (Aug. 22, 2000)

by snfs (Tomabechi, Ver1.1)
(41 659 (83 37904694372040739658696033736681854866578053726193727) (P 59))
(41 687 (83 739 280996699 12048683489692366649058396492928225496879) (P 61))
(41 701 (83 112698587 12108419505623023403995978704599575639570619489) (P 58))

Aug. 23, 2000.

By Igor Schein (Aug. 21, 2000)

(88 210 (881 137369 28192149817185426770690728121) (P 57))
(100 451 (252728273701 2908560883301 224536390128097863686681284256801) (P 50))
(100 862 (5 133079370508882796226266983108001 13823682327610306786104217583010701) (P 51))
(100 904 (17401 66797349301 627781651677034563001 6090366829855236492752635201) (P 55))
(110 851 (145065691 325840351 2628850719204736181 3426287539897335442505773741) (P 55))

Aug. 22, 2000.

By Andy Steward (August 21, 2000)

by ECMfile2 (Ubasic - KIDA/steward)

(43 658 (173 3613 25995195038165195609929273) (P 88))

(49 956 (1471 1753417 2635587991 7281444115114969373682763243) (P 79))

(59 268 (261868670724541359491 34981232014951334496591353711) (C 92))
(59 310 (2243 44435293867 278670260671864483439) (C 111))

(61 762 (4027 30486854623 81472263437 4582254540169 14708331590977 4516473486213935253487421) (P 98))

by PPMPQS (Tomabechi)

(47 280 (287449687006156084759451122721 1707171541671054188981327105284691) (P 50))

(53 626 (743 1697 576667031 643101772949 3684799573463 5948556262859071479954482269 28087356936381958756448378985482041) (P 44))


By Henrik Olsen

(49 268 (988475155739 44736784524327849417951560908295184532730069) (P 47))
(49 462 (41223442163 1125330669121281566938157295662503) (P 69))
(49 475 (197 1496127845621977 641832282039186930994357055109303349) (P 60))
(49 476 (4019 84522166795697 147286148770869530545927080156118280107860823) (P 51))


By Sean Irvine

(41 799 (335732427915246418912688485676761191073) (P 78))

(47 310 (28344103 561578867696298251 88948261463193141690027782522836557331190257) (P 46))
(47 851 (90464450587129316437031014433017) (P 103))

(49 637 (491 342168374298489676901573 1590116238340390477868530679008340711469979) (P 50))
(49 703 (1373 286063 90316703 174569687321 2375986309751273672863445393306477131) (P 56))


By Masaki UKAI (Aug. 21, 2000)

(86 394 (9461 16300573129 20267842547885454263064787 5824036688878701988314177314539) (P 39))
(86 480 (6762439 1082319547 37192708800490164290606551) (P 72))
(86 781 (173 431 4838649030899429507 1560376404055968072754931941 878760109953661639699225528303) (P 41))
(86 850 (431 206183969 1584348709117363518019699) (C 88))
(86 888 (36551 25021757879 3819597969206883717162539) (P 85))

(98 732 (25579 819084758768472336196046747) (P 89))
(98 775 (85751 163367 744333336690559151637949 142754941253356331768923489) (P 62))
(98 812 (1027821426053359458949) (P 102))
(98 835 (197 24697 98282569293176666753699) (P 94))

Aug. 21, 2000.

By Takahiro Nohara (Aug. 20, 2000)

(69 170 (139 1595512531 38196673424635181653238254977862843) (P 53))
(69 204 (75021585578491 50754683508241898593302413460491300404740223) (P 45))
(69 286 (277 55505156583787103748617341 7092215455584120640144748780635323949) (P 44))
(69 447 (139 2362146151224123379 7532483722099147473871893282229) (P 66))
(69 515 (277 77893285174281194571571 42820498319051514782881219) (P 69))
(69 585 (139 967 419748138614696372209 35997773419759172944231 432580130275823867804715547093) (P 44))


By Yasunobu Torii (Aug. 20, 2000)

by SNFS

(63 486 (4780586865167789043659884299001168330726081) (P 55))
(126 462 (12194055582680453131491419482759958161266433) (P 53))
(126 521 (194323218528171659638983901775793809259463) (P 57))

Aug. 19, 2000.

By Igor Schein (Aug. 17, 2000)

(75 217 (608701 12126358117382822146607959457401) (P 57))
(82 785 (26945201 6667456093121 14618365009477 352771097814002335237450321676414779) (P 47))
(82 873 (83 99713 7809920999 4638003005151974867 91440702575638866644815561449404647109047) (P 42))
(86 515 (43 182634589 442907357290140522961788037 2272024760421637149635832131) (P 50))


By Satoshi Tomabechi (Aug. 17, 2000)

by PPMPQS V2.7 beta
(86 270 (2577851 3521663021 10118370363776162524463374603402833132268109) (P 44))
(86 381 (173 23909 1904906035794594451 621798028860936349993054747080791654657) (P 45))

Aug. 16, 2000.

By Andy Steward (August 15, 2000)

by ECMfile2 (Ubasic - KIDA/steward)

(43 634 (6967 80094464797 7689976348144583003175869652473) (P 73))

(47 280 (287449687006156084759451122721) (C 84))

(53 513 (107 743 625976125477 419913260666359 91975463102557087 278018573246252254569027453547) (P 64))

(59 623 (4541113 1989702825301 8705306657237778911591378042887) (P 113))

(61 213 (1563799812989 584609139338908355515573) (P 104))
(61 387 (3619619 9586151 727841753 125234141608145120333474137) (P 107))


By David A. Miller

(43 762 (3730500450491 101136207341862799 46491200379825383259385771946219636646217) (P 51))

(47 201 (380596897732781 173314888321514050040363643071006752631) (P 54))

(49 640 (197 54064151 35569374201878203 174561822414176124500028552420700165693) (P 54))


By Henrik Olsen

(49 177 (7547 415983597717846765006661765139360187881713) (P 49))
(49 235 (1271747 1436507251280543194849560777186333036683) (P 55))
(49 320 (21650067739730210111053211609115363004211) (P 65))
(49 413 (1667 790172531 214084261003302182908487538784551859739) (P 60))


By Sean Irvine

(43 328 (78691 9172182511 33970767035111376207994462776612378628581721) (P 48))

(49 994 (2373840493968396114094559883606829813 53530727104516622519227239889522516061) (P 52))

Aug. 15, 2000.

By Igor Schein (Aug. 14, 2000)

(75 175 (384300528215235831760251351901) (P 61))
(82 303 (83 1723 56827 7942357 153911279725204012649893373429) (P 54))
(82 354 (83 2789 3929687 49970801 1725773481982265706205924469588273) (P 50))
(82 380 (272484221605382415449 36372203263365511823143861036825658988979) (P 43))
(82 722 (83 182779 2519594871783716705581697 15376621673922753775733186232091) (P 52))


By Tetsuya Kobayashi ("Hamayan") (Aug. 13, 2000)

(55 585 (989397514967900869763791 1211201466660905511458462879711983682911) (P 48))

(92 198 (82270541 1905014602193408889335849) (P 69))
(92 235 (277 33029 85331529541320591043581821869) (P 69))
(92 247 (153457 456501026448299145307361 7859006145647172268017570532859444489) (P 40))
(92 334 (62412386223148829093 1059102931036760259712104673) (P 65))
(92 357 (1059197 52397738738012090039232017) (P 81))
(92 391 (1657 217489 1331614348555100033 12402949374519097187077 16655184458552979320386106777) (P 38))
(92 412 (328931687240556293846594869 5732876847928544515317721637 7988179016868007261234156129) (P 33))
(92 416 (277 1265652281 21124311269 298572793820587590271523209) (P 67))
(92 494 (4049 987308213 254107244405130708328421) (C 83))
(92 580 (277 281153 689540910278798749 74354534393609617971010561853 95399526238466903847244358967353) (P 36))
(92 621 (24841 109966056853257528005456713) (P 93))
(92 704 (461 349648106889517 111420409108286824177889) (P 86))
(92 748 (20149 118081633 110401869349 217407062401493313447517) (P 80))
(92 791 (258061 470213 154257121698049 406453061955020541930426101 1809729186548809911173622673453) (P 46))
(92 816 (277 2394761 19603637 5544942056220877485582276253) (P 85))
(92 909 (461 475985297584673 253763577045718297 2818902871163354952228785823893) (P 65))
(92 913 (277 763417 1686637 438275837104397 8336325485065709034296177) (P 77))
(92 928 (11317 149794916419747453828792877) (C 101))

(94 873 (659 960493 1110611 76219243 3104742169 73933780542714138226507871 188038305674260142866775411931403759553) (P 39))


By Takahiro Nohara (Aug. 13, 2000)

(69 327 (139 1933 152767 3255283 1202522638442939023710307 18201236355815482683617821354313347) (P 36))
(69 378 (11317 72414079868650722647077 251394773312012991938093587039002739) (P 52))
(69 475 (3037 228169682449 25777930315520150214163147393 840515907204691580283884118645589) (P 42))
(69 483 (139 691 12411859 1425291063577706885752917799339) (P 76))
(69 596 (1877366077 5175076425405058351969) (P 92))
(69 746 (139 83022078262583039905592353) (P 99))
(69 817 (139 2755841584854032937193627) (P 102))
(69 820 (967 64901090390037944073613 225199487658026468968927914607 197105452003944232048396812864361) (P 41))
(69 922 (277 691 66164929 17379192979 1771415232812654115305407 4500470914629846040177452550102550380111) (P 44))


By Masaki UKAI (Aug. 12, 2000)

SNFS 1.1
(57 736 (28728001 49047539347212737955882665794160917333) (P 59))

GMP-ECM 4c
(100 999 (101 401 16889332191245691091001 390659003355993434171524201 15709690450631823302448269886101) (P 36))

(110 470 (11 174859465346481166373407451) (P 80))
(110 844 (11 1231834561 181600722933041277882516257757451) (P 75))

(55 273 (11 661 42571 57873730397509312885289404781) (P 61))

(86 515 (43 182634589 442907357290140522961788037) (C 78))
(86 630 (2088683 2224560131099687 11471838605704146958097111) (P 71))
(86 650 (11353 65979423305818028178386171) (C 89))
(86 666 (55901 817163551155114436644379) (C 90))
(86 689 (226670893913791 542374130145491779 427784979471240217917313931) (P 61))
(86 777 (490849043 12209775790536194804612401 14726877487075613952207121) (P 63))
(86 946 (16427 54181 14711161 18066971813146050268673) (C 87))

(98 372 (421891 12465271430298195290469724247) (P 75))
(98 387 (385958103737361142583 1193831987931485773921) (P 68))
(98 804 (7 491 133379 3407343603059663 5315430343126465509080211107) (P 71))


By Tetsuya IZU (Aug. 10, 2000)

by snfs (Tomabechi, Ver1.1)
(41 653 (1559 17348934851673254356746527609053577095149855677) (P 64))
(41 658 (83 821 498980087 30722559357900797860554905395973) (P 68))


By Igor Schein (Aug. 09, 2000)

(47 956 (1693 2069 2633 38198763739 70183272573235130267302908490445209 36567072430140655297093043398492519501009) (P 42))
(98 682 (11654735379205558697 447329720101250596187509 32406440917392074900463097) (P 51))
(110 696 (15731 633684811 1275561211 1470924841 260266796845132707828752969711011) (P 51))
(110 718 (541531 1443311 40647437378676713311 20357052066463219538183918970641) (P 52))

Aug. 09, 2000.

By Igor Schein (Aug. 07, 2000)

(88 604 (89 220177 4286264943851208139273 49563593739011472768415141319290282385009) (P 42))
(88 781 (2729 820073 1379178408732639710052881 77489140351897152576054130692435387289) (P 45))
(110 481 (11 2129051 328188875727088751 662321780678183824953415467107291) (P 50))
(110 666 (11 46091 2568941 55670561 43693599841 97466644030672673635685075658731) (P 51))

Aug. 08, 2000.

By Satoshi Tomabechi (Aug. 07, 2000)

by PPMPQS V2.7 beta
(86 309 (216119 5117173 1069560931 114857217176768399527796404704001097) (P 49))
(86 695 (22904173343 17215304961472551897288737 526814711560315845926900903166244493) (P 49))


By Takahiro Nohara (Aug. 07, 2000)

(69 602 (139 277 5107 18217 7829293 32511559 2963632801 4358453568248403215219846958277) (P 56))
(69 628 (1404979 2675402099666701404877489 3386821455545271883177954609) (P 66))
(69 634 (139 88873 347191717 15733415743 3133990001413 543574556598717000991367189588527) (P 53))
(69 696 (18217 2945473 561633091 200153003710496057187523 346481434381468447208204177217925447) (P 47))
(69 706 (139 23495881 2598664753 1403993103332389 311143799205087468384869281) (P 65))
(69 712 (829 11567851 269896822521816282262530727 76011264723490863526898582503 904456222480351462035862692289) (P 31))
(69 850 (139 64436479 243124813 78112886794845658631639311) (P 85))
(69 908 (2754914977 9668937571 25460259631 1180796185290229 18234588485082522177767994823) (P 57))
(69 944 (1657 1933 44851 1636825227121411 25435343678619070789 56884414609207539040650601612753699) (P 51))
(69 945 (926533 348838537570410845034577) (P 102))


By Tetsuya Kobayashi ("Hamayan") (Aug. 06, 2000)

(55 730 (11 331 361241 1462891 204008203961 798561655233951862655150346695021) (P 56))
(55 731 (11 661 123381344605188748346731 3918268694594390051937673705460475496231) (P 49))
(55 810 (4211353631 18844834089168107791 42819187608696120910768435483011016685791) (P 47))

(94 177 (283 7333 11657 2540678051018363675661101) (P 69))
(94 276 (407366579 174863557209340855202167191289) (P 75))
(94 314 (1693 5171 2259102283 2932591016329842619186541) (P 75))
(94 320 (3305214617384143880972239169) (P 88))
(94 468 (113585148862669114901 349641246548865496979687) (P 80))
(94 672 (243274093757 234149475688812701361823) (P 96))
(94 717 (3937562053 157557113833689419102137343) (C 96))
(94 932 (68771727187 82753896223788893470457) (P 103))

Aug. 06, 2000.

By Masaki UKAI (Aug. 06, 2000)

SNFS 1.1
(57 650 (6043 90309372854590364162020715659819106947) (P 60))
(57 702 (1597 362600964418883877880516189052193400213573801) (P 55))


GMP-ECM 4c
(75 858 (151 751 1801 3069102403520551 23706329193950738687518892722990051) (P 60))

(82 385 (83 8447 477015731 7322801050849514999483313793838807) (P 56))
(82 934 (127921 136177417921736280323891 53619949942880583090615901157) (P 62))

(88 832 (89 555036591848201 668378555958877122898852754722777) (P 68))

(100 435 (65377391713632335178301 61113273748300954904476127898137701) (P 48))

(86 561 (1836422056241 100293058972588004906436990676801) (P 72))

(98 390 (1373 4828330817694421801354644271) (P 79))
(98 682 (11654735379205558697 447329720101250596187509) (C 77))
(98 936 (197 491 883 1667 40728146753558990427521) (P 92))

Aug. 05, 2000. News ! Phi(108) series have been completely factored by Yasunobu Torii !!!

By Yasunobu Torii (Aug. 04, 2000) (108 962 (244965499494647729893659558030929555256075973) (P 64)) (108 991 (109 27617113 6040638890571650374618870306072829137412708416537) (P 50))

Aug. 03, 2000.

By Andy Steward (August 01, 2000)

by ECMfile2 (Ubasic - KIDA/steward)

(47 513 (283 16791494571750059320432618878979) (P 91))
(47 956 (1693 2069 2633 38198763739 70183272573235130267302908490445209) (C 82))

(49 213 (197 3529 262770212348531608021650244222279) (P 60))

by ECM and PM1file (Ubasic - Steward)

(59 213 (48101698080931213 10233647512430851449791 1902830529054359001570607) (P 73))


By Henrik Olsen
(49 383 (1614836248789 99694463839091965980212586579103217779) (P 59))
(49 387 (197 491 17939587 1778913524146305099190329992815369) (P 64))

By Joe Leherbauer
(43 559 (431 607519567 264151164701701 3745652938655306154605361474699872473028471) (P 47))
(43 710 (12461831 365027077320916321835207 135200880739737948785663120481290833658383) (P 48))

By Nicolas Daminelli
(47 705 (19072883 4364387091608003586355345228103 150008394383245063148112483988621905048721351) (P 49))
(47 899 (8852827 264770925517516589 4716133978060050402859 1243360403951723615706445572384150333563) (P 51))


By Igor Schein (Aug. 01, 2000)

(98 996 (26951 358560049 31855673261194301 1507513953392167393729967 55631342715359939369878331821) (P 44))
(98 426 (7 151901 312229 46435743320701542893830291 13501673841677103697493236309919353) (P 40))
(86 706 (84324447376217 4451807624550924871908950477 6582966604430379720001177042271363) (P 45))
(88 595 (89 353 604559269047188810612753 971297718024918332955457) (P 59))


By Tetsuya IZU (Aug. 1, 2000)

by snfs (Tomabechi, Ver1.1)
(41 650 (83 66998012783587157716448435601019301468526511) (P 67))
(132 575 (1100713495958523819636826654721965909) (P 75))

by ppmpqs (Tomabechi, Ver2.6)
(43 716 (29671 56621611381 5356737600142597 72712868324276853164548738183900891790837) (P 49))

Aug. 01, 2000.

By Takahiro Nohara (Jul. 31, 2000)

(69 465 (277 691 3313 146833 485347 18595682203333 125450560620690105101852113679485693) (P 50))
(69 604 (568177327 393748452840546905287) (C 94))
(69 623 (139 21943 2606898317034811 924653811668951557607522287 126863418434798709387178944178561) (P 42))
(69 650 (246607 293928699447454384252567) (P 95))
(69 681 (2347 4240754388037914496908733) (C 97))
(69 696 (18217 2945473 561633091 200153003710496057187523) (C 83))
(69 698 (277 829 19231396963 50846704763749 832038025695035077364539063) (P 69))
(69 731 (3037 7177 5512687 2431179855317407 16071894339603733627207 401420641570579049254406959) (P 48))
(69 754 (225217 39488563 892389888905233 26622322108033499592361 6269614232877207063812312123047) (P 46))
(69 788 (1933 18007207 651019693 60406008092317333573957 10716156867007371674191147) (P 61))
(69 805 (1381 8820091429263754190202586279) (P 97))
(69 833 (56857 153319 24043115198956857111453607 217472886816238131840079457719) (P 64))
(69 843 (139 1657 143713933780762828238368095913) (P 95))
(69 999 (10820336707 47085184759 773047255384289763012433) (C 88))


By Igor Schein (Jul. 31, 2000)

(75 292 (1801 28051 802619401 369595438357673774059645447801) (P 53))
(75 338 (151 87029078397737401 2458759730480607140236781675008485986401) (P 43))
(88 201 (89 123109009 116246183274155243569320245417) (P 54))
(88 215 (109297 1154033 1210764582188151363442609) (P 59))
(88 261 (89 5141132529721 545214015217826886079457314412945297) (P 47))
(88 345 (353 3697 15685299253009 109353608698328496929356733480689) (P 51))
(88 402 (89 69192946746645901169 8173874526611943409450410601142873) (P 49))


By Masaki UKAI (Jul. 31, 2000)

SNFS 1.1
(57 531 (57638045739459056736367465176619210993381) (P 58))

GMP-ECM 4c (+PPMPQS 2.6)
(88 623 (353 4373701480968514121082611737) (P 82))

(110 952 (11 337005645425867229153537691) (C 92))

(86 700 (431 106841861575875803381 12033013516747362526030051) (P 72))
(86 706 (84324447376217 4451807624550924871908950477) (C 79))
(86 722 (59181444447317180444675370667) (P 92))
(86 753 (299711 1604028313 44579262341429 20980574556960014309308170779) (P 65))
(86 866 (3527 27830047168324215875808679) (C 95))

(98 418 (29953034116826450607181) (P 88))
(98 426 (7 151901 312229 46435743320701542893830291) (C 74))
(98 549 (197 1471 307529891823600767357) (P 90))
(98 686 (26818681 32470831 563002550248447 21783196446324891781503959) (P 65))
(98 795 (197 279203 24555929483 9077346928296697 89539493536703871767 30044538552469759492500563700667) (P 37))
(98 980 (473468493244006311188649121) (P 99))
(98 996 (26951 358560049 31855673261194301 1507513953392167393729967) (C 73))

Jul. 31, 2000.

By Tetsuya Kobayashi ("Hamayan") (Jul. 30, 2000)

(55 315 (132346359752137919535359030123354829265281967051) (P 53))
(55 348 (590999689187711 6609230387092031792302896183407746605331) (P 48))
(55 399 (11 331 1321 3191 61318291 153766419330373395143259238469108794035481) (P 45))
(55 402 (2311 72161 8933306581 1271833984347313452905551034715701) (P 53))
(55 615 (661 1321 1590700196627794451 4809703251631204368439672559459487775674131) (P 45))
(55 623 (3301321 1262370841862785601 2413422057507496686835109081656548401) (P 51))

(94 388 (1223 3733211 5502103 46265703773 1287746622797499186002403419) (P 65))
(94 960 (2539 18143 3153455507 967873057501713256967601861271) (C 91))

Jul. 29, 2000.

By Igor Schein (Jul. 25, 2000)

(75 158 (215851 1852224773664117437339250468151) (P 53))
(75 566 (333444208722031513517719573914405901 788484966363258866865934886344404601) (P 39))
(98 806 (491 92500241 23711018714329339 411993456121628070177167 12285416817359350135000211462089) (P 41))

Jul. 25, 2000.

By Takahiro Nohara (Jul. 23, 2000)

(69 152 (139 1893254707 1203473996381889591299134831249) (P 55))
(69 341 (967 303187 382457816510576497 295657834172664466103428372801) (P 56))
(69 371 (829 68087602651 1772235539517811 2150855974626718772346806947053181) (P 51))
(69 752 (691 120199 7071709399 31981336030993731196249) (P 87))
(69 873 (726159537773797 23202442215010010922884557) (P 90))
(69 874 (967 8246343871 12756318973 377264082187 1885302435964509994942095931) (P 68))
(69 921 (277 353833 519288503799209107 48552786456655451389 2192445279602062216173319) (P 61))
(69 931 (277 50105571550333288369 985132855707465685441076371) (P 82))
(69 938 (55340347 9838621733856920252440081 642049305612579490858735339) (P 72))
(69 984 (139 47059 142680120272874789643 631744501487760446666918699361001 941895466515537984293531172403783) (P 39))

(69 979 (3037 15319 109947818468061993939409) (C 101))


By Tetsuya Kobayashi ("Hamayan") (Jul. 23, 2000)

(55 290 (11 14081 33682393041159296660174245541483939027365951) (P 50))
(55 302 (11 2311 2861 2419365828779510384100600183611217360147701) (P 49))
(55 308 (80888720441 96614256306239773810008265198050771361) (P 51))
(55 310 (991 7151 11305477585791939347257029032617506704441) (P 53))
(55 332 (1760881 44652448831 638072515341758586550117944286960511) (P 49))
(55 388 (11 7151 66749366509321 54248747860704110449553456790705490421) (P 48))
(55 545 (331 4951 7777653600553021901 1315239115719553995900348153028401031) (P 49))
(55 858 (23368521551 7662837513129528556751 510111546555055058253007007622532475407351) (P 44))

(94 209 (37507 197348526259 19473734748420912977666345707321170873617171) (P 48))
(94 249 (736141645663888139597 92390329450723576061526097547) (P 61))
(94 285 (283 336646437288358439239 29409978853612712319288929347980269) (P 56))
(94 775 (234907 316499 10040854498536347 119688893166206491 18741023182316740340452931702765527) (P 55))


By Masaki UKAI (Jul. 23, 2000)

(110 846 (84811 58265192551552031 72058677931032460306981) (P 73))

(75 566 (788484966363258866865934886344404601) (C 75))
(75 702 (6151 3749101 20217752453904147072266551) (P 79))

(86 299 (173 1291 623542990799 932946761065601796329573) (P 63))
(86 399 (431 7102741 555632692935841847559554603) (P 74))
(86 969 (431 1033 1291 6428713344079543023820619) (C 92))

(98 320 (2843 7841 11867265126265695472627275661) (P 70))
(98 471 (223441 168883597 769391334064207 1362270746065006943147137) (P 60))
(98 789 (81047 45834797 2563516171837596487 68802366837115399227979 447976783566536678787937974329) (P 39))
(98 806 (491 92500241 23711018714329339 411993456121628070177167) (C 72))
(98 846 (7 345647 205487479 1201494859955965517155613) (P 85))
(98 849 (159720107 6972903325991 89572083862717 408544549239929616736993) (P 65))
(98 976 (166013440214863738433726063 1108658183179282955932388820817) (P 70))
(98 994 (197 11173 127595609 23467630636516485588926751365351) (P 81))

Jul. 19, 2000.

By Igor Schein (Jul. 18, 2000)

(75 148 (28351 2917778990824226259571045405973066551) (P 46))
(86 321 (431 3373781 43037574668842895395963 10259831442208001392386813412321) (P 43))
(98 272 (7 2549 6763 13218490395005274248825831 4779232351676324757274989377614993) (P 36))
(98 916 (7 8527 6214797961356693353 17982687866787712097 205415934443584908036883 6011666007036022045508449081) (P 31))
(100 382 (5 250501 5860566553807389720143442901 426987574138705758434723277669601) (P 37))


By Tetsuya IZU (July 18, 2000)

by ecm (L1=1000000)
(41 787 (83 36016861 2795018917080876150721129718338919) (P 73))

by snfs (Tomabechi, Ver1.1)
(132 593 (91224381836730600683976112985686263477157) (P 70))

Jul. 18, 2000.

By Takahiro Nohara (Jul. 16, 2000)

(69 180 (139 582499 31323379 749405949703643615136287886941101) (P 51))
(69 268 (39761905092770857511509 2369216436166600736468921819355847) (P 51))
(69 332 (139 277 16252261 44202919 410503079040945343425822583) (P 65))
(69 370 (29009774643193 113570388129589 490985045466028433450376771337) (P 56))
(69 391 (139 549517 783419384705044851191143 34506051665628576950907816430456765122397) (P 42))
(69 495 (139 1933 396159223 15163166209 369372435301 131975013980703083788938387070313413) (P 48))
(69 716 (91928402749 149455612807 708175766868734317284680502307) (P 74))
(69 772 (6861913 230801453263 1102692080923307182485710053 83925969368264988379242866132641) (P 50))
(69 774 (5828983 268617683789173 16415651919629300735623 556075189520269700894232014550908805358591) (P 42))
(69 777 (2347 1970974338086053 853328049237937621189651) (P 85))
(69 793 (90529 236589271 12025992868001803279 164520351645360702483313 1036046873226267769403106403) (P 45))
(69 798 (1381 1497577 36383287 3710524325539144317157 34579793431180849740373) (P 67))
(69 915 (139 967 14847559 50478826170583 3146540208644493178375657 554500536387385138629582654400447) (P 48))
(69 916 (277 21529 91909 108477368932808413399 149582944390273510656131353) (P 73))
(69 951 (139 113437 723623252374369 4531926811444088834624116969 1266848194641880347582924198298152463) (P 46))
(69 958 (139 5521 612169 2456401 6323904649 50340942268219877476429) (P 81))
(69 960 (340723 870367 345649429 10530753229 9538185644262386661937871581 23569062780914411735081957623) (P 45))
(69 964 (184231 10633520319911304011143) (P 105))

(69 788 (1933 18007207 651019693 60406008092317333573957) (C 86))
(69 833 (56857 153319 24043115198956857111453607) (C 94))
(69 956 (139 37155005323 88395369383180554779607) (C 96))
(69 984 (139 47059 142680120272874789643) (C 105))
(69 988 (7039 26497 13581851809 2256429568418146060692673) (C 90))

By Masaki UKAI (Jul. 16, 2000)

(82 824 (1366121 7246997 7010569780523 3084703457037770594002106051) (P 64))

(88 399 (89 617 881 158811227347926362324561833555433) (P 65))
(88 514 (136104049527753350126953) (P 86))

(100 382 (5 250501 5860566553807389720143442901) (C 70))

(110 209 (881 5431801 20577247592083008531926651) (P 58))
(110 592 (331 1321 702243553139022451284421) (P 82))


(86 321 (431 3373781 43037574668842895395963) (C 74))
(86 456 (6709 3498093302704414582316023) (C 84))
(86 539 (1721 9126407 91200077 120206329 5704971178326791093504550409) (P 61))
(86 636 (1203065956655485749604680323) (P 91))
(86 715 (147815516332086102502147837) (C 94))
(86 777 (490849043 12209775790536194804612401) (C 88))
(86 833 (850100112121822167741599) (P 99))

(98 272 (7 2549 6763 13218490395005274248825831) (C 70))
(98 328 (7 2549 1329763 6660593717 10292245605680641787423) (P 64))
(98 335 (7 197 672332333 78831297466355675849537777) (P 69))
(98 730 (817755009166353992846141) (C 97))
(98 916 (7 8527 17982687866787712097 205415934443584908036883) (C 78))

Jul. 13, 2000.

By Tetsuya IZU (July 11, 2000)

by ppmpqs (Tomabechi, Ver2.6)
(41 858 (83 1447156923974021334077 4907794528898593037786888126918168154695233) (P 52))
(49 482 (197 19993 895328695038053333 12268622952978738660189841440158541733) (P 52))
(132 988 (8053 45541 332860919672564317 29130592328542468438576854532703201702053) (P 54))

by snfs (Tomabechi, Ver1.1)
(41 644 (83 6151 1402865903582239301050943465046097727948777374729) (P 59))
(41 645 (83 912071569 306422482313004936103719117483893019059) (P 64))


By Andy Steward (July 11, 2000)

by ECMfile2 (Ubasic - KIDA/steward)

(43 635 (2325613 12770149453723 110577503814421069430796893) (P 73))
(43 810 (173 2126332973 66488873585725353008939453) (P 85))
(43 929 (352918766378959181688346763378827) (P 93))

(47 320 (3984191 634162103391902807602680430518259) (P 76))
(47 354 (283 8837 10488350144257 186266475108256522914961895567) (P 69))
(47 548 (33867838252918536872959) (C 104))
(47 604 (283 14947 44656111 5351003973593668944949137433 10292422594459101505861598983) (P 58))
(47 626 (283 5077 81151517 193455879925144274275349) (P 92))
(47 635 (659 240827293515647 8158307826104821962982027111396657) (P 78))
(47 696 (1787 129439 142718806880413843592934075806197) (P 91))
(47 794 (20160207637 5900338487909 255032842594834662947731963439568479) (P 75))
(47 810 (283 2514877 860199547 1710905827207277 769660016867718914477) (P 80))
(47 897 (1787 303113156701 785099140657879 6296680178951231 12039732338207197140418337 4433231569278529746088016155127) (P 35))

(49 585 (2787023 5366903263 747850242820843229257023118993) (P 71))
(49 810 (2974103219159799796832561) (P 98))
(49 994 (2373840493968396114094559883606829813) (C 90))

(53 255 (107 193663 2709161110890563627369801) (P 94))
(53 308 (1061 5407 2814296686066351 699378024377187984326710757) (P 81))
(53 626 (743 1697 576667031 643101772949 3684799573463 5948556262859071479954482269) (C 79))
(53 635 (107 648509 15316153 7284794653084442353732571) (P 106))
(53 897 (107 25051087 2592345498187977322422965205329) (P 114))

by ECM and PPMPQS (Tomabechi)

(43 897 (8987860619201 29995766612826276964390404683557147 36799064134974617917029872188216219) (P 43))


By David A. Miller

(43 255 (26833 155558035937149219063960505007312698491079) (P 56))
(43 320 (1486081 757448034656918281455154009211176229) (P 64))

(47 217 (67567831493 232401507164326934692364545766389619) (P 62))
(47 585 (17579 4136988119847425127006079414997 117985684781585329773736906463461506576557) (P 52))
(47 927 (283 2633 95636353 1163221529162454119997014299061841388639) (P 84))

(49 868 (363818270537 517781671709 453293818032049 195039107972339804936865630497024501474113) (P 45))

By Henrik Olsen

(49 298 (197 1125433 1904048298129935061409585935258794009) (P 60))
(49 308 (6015835057 7070028902340629910052904773392436583) (P 58))
(49 318 (5783 29337281 65876575069342555364371552958430049662933409) (P 51))
(49 329 (197 1343662811 908038405969241442340183079511602363) (P 59))
(49 342 (22051 6551187791 7805990943905326794443354594019256778140549939) (P 47))

By Joe Leherbauer

(43 667 (173 1033 2091665107810066316000129 1402995722804303823339660528245604680893) (P 50))


By Takahiro Nohara (Jul. 11, 2000)

(69 766 (139 217351 1201153 2590156501 3259221656017 142048331394929123694279721 75950652227818002256813251317221) (P 34))
(69 872 (139 789630872812228752673 644109321133755940728455269 1468640614637434314720688591) (P 53))
(69 951 (139 113437 723623252374369 4531926811444088834624116969) (C 82))


By Igor Schein (Jul. 10, 2000)

(69 872 (139 789630872812228752673 644109321133755940728455269 1468640614637434314720688591) (P 53))
(75 114 (1851999033697950204652658664777350701) (P 47))
(86 958 (10837 9906599 70201457 14157890783 410565352203807916301 1129874687278980175085015799042372163) (P 40))

Jul. 10, 2000.

By Takahiro Nohara (Jul. 09, 2000)

(69 118 (139 10627 3555947383683339201495347947292712977449) (P 46))
(69 168 (139 5156876695291 39863755301528723186163959988239947) (P 49))
(69 183 (123787 192164264737 14270790741317058356018048128536736094977) (P 44))
(69 430 (139 5746171219359271 168235357241547738511 944454395453660024000201677) (P 51))
(69 725 (139 277 691 3313 2255681148460177 1351063252395514753) (P 82))
(69 728 (967 307146601 511526056084108127847619 405829918822488486224156672539 1800145443525897388749960242497) (P 31))
(69 732 (139 829 31918225461633760513700353) (P 96))
(69 832 (139 201061545361 155964676558521067 203246787703617956637667 18470303445623352516233648611) (P 47))
(69 880 (139 277 829 1933 3313 15319 2548927674612459017287 2528296015265541071862013) (P 66))
(69 912 (139 277 691 967 5273651371 17034696799690260765146719) (P 85))
(69 917 (139 727401589 1366175256640384361539 19292080901935670127058447 485767192699711859843998221727279) (P 41))
(69 925 (68449 143107 9114901 514372231 27243677505390775848121) (P 83))
(69 934 (64788931 1975725615469 22197668263535295673997059) (P 86))

(69 818 (14629 1658761983209869 1708636298122309974793) (C 88))
(69 845 (139 691 245537469343805834636041) (C 101))
(69 872 (139 789630872812228752673 644109321133755940728455269) (C 80))
(69 927 (396061 74289403 496808686841964242737) (C 97))


By Tetsuya Kobayashi ("Hamayan") (Jul. 09, 2000)

(55 260 (113575568643154903094143916891) (P 68))
(55 273 (11 661 42571 57873730397509312885289404781) (P 61))
(55 279 (11 331 13173640052387961080298144195353409421716737401) (P 49))
(55 474 (331 661 881 1476229828607711 197130396716129382004061449754561) (P 52))
(55 620 (11 21774391 24423011453158019791 123044287440476982078713089288507251620431) (P 43))
(55 703 (6491 1281262680611 117060390856421 5076573779031186739603359052430687621) (P 48))
(55 772 (1871 3631 829841 16894628224916482591 3356702452881550920003046337731) (P 53))
(55 812 (11 17491 947293525531 2521191621022141 7360445043086645226798579213955471) (P 50))
(55 951 (11 1906071400549031 13049422812508066711 944075269376852834024580151) (P 57))

(98 889 (4532599 67004136342417203399 45986401407644100004416319 327241445245963601595004977154991) (P 40))

(94 306 (32454514273877313561107233 364758886778819062855106616619012173793) (P 51))


By Masaki UKAI (Jul. 09, 2000)

(100 474 (74389201 3109606737076001 12618975269431349167215762601) (P 56))
(100 862 (5 13823682327610306786104217583010701) (C 83))

(55 585 (989397514967900869763791) (C 87))
(55 822 (634842931740341207213508446291) (P 87))

(86 316 (2380997 92717714647 57147697275270799329491 28091394481140973641642935509) (P 37))
(86 842 (173 639637074528877661423269547) (C 94))
(86 843 (173 1979 176149759 2707355668946507 98154331317365898705255691) (P 68))
(86 909 (431 3932166742492605765886627) (C 98))
(86 958 (10837 9906599 70201457 14157890783 410565352203807916301) (C 76))

(98 596 (3823 63113 150218713 102975381013 221248508898490516210741 1212974006864918343847666755619) (P 36))

Jul. 07, 2000.

By Igor Schein (Jul. 05, 2000)

(98 352 (197 2862849991 7018086855641 3472559170868220082079962629343) (P 52))
(98 482 (7 491 7253 6087085663 4355838424183 44809807621176432275492703111346727) (P 49))
(98 604 (491 2647 32649289 12882151874203619470219 141445607193280273150308925283216943169) (P 43))
(138 316 (277 937528807 8482560643725280015024483 592042498318716000637502493577) (P 44))
(138 825 (139 2185921 49897234126310041 3372602691081183173881129 304436435313269053326156164449418203) (P 44))
(138 984 (1381 781771 15233107715538536327503 5664993794533514244455473 56755970945120888664309477803861436613) (P 38))

Jul. 06, 2000.

Erratum pointed out by Aiichi Yamasaki (Jul. 04, 2000).

Error (digits of last prime factors and sequences) :

(41 548 (821 9431 3728896748288455582019272903999803211) (P 62))
(138 612 (139 829 1381 112070033887369 945237763382761 17375528097216819115218547 937516359865966201976731) (P 37))

True :

(41 548 (821 9431 3728896748288455582019272903999803211) (P 67))
(138 612 (139 829 1381 112070033887369 945237763382761 937516359865966201976731 17375528097216819115218547) (P 37))

by ppmpqs(ubasic)

(57 694 (1700499583 12107114511909131408150942988362954696143) (P 53))
(57 945 (83942201577727 11986878958639465336512071425381500060954181) (P 51))
(63 480 (757 168681538198881334997719380478276579) (P 59))
(57 496 (571 2328835857655901120320740393353636519107) (P 55))

by ecmx(ubasic)+ppmpqs(ubasic)

(126 822 (23939925133453715550438258591979 564338847444488086219346315396988811) (P 38))


By Tetsuya IZU (July 4, 2000)

by ecm (L1=400000)
(132 605 (2869683067530703035337624020277) (P 81))

by ppmpqs (Tomabechi, Ver2.6)
(41 810 (83 93083203 155048098951 287176884941300240742303772262861858569307) (P 54))
(43 422 (11353 1124698396165456919 3093760008333428720649177923309422849) (P 52))
(49 755 (976875859 3797622403 178156532517209 235317859183156898836607799349) (P 59))
(49 992 (2196694378693739 33810065370265204754707 1844613610323906816728970284474939) (P 55))
(132 785 (12513469 1428359484873157 27603378191386162500786534039343333) (P 60))

by snfs (Tomabechi, Ver1.1)
(41 626 (57073 19232537247947346795083194162492698108546492402569773) (P 55))
(41 635 (8693 184829 27460785632950515465444141033553329047) (P 66))
(132 570 (4093 11947321 61356592375058639003918382969526965181) (P 62))
(132 586 (179514172861 249878529859581021492073375216105891056871609) (P 56))

Jul. 04, 2000.

By Takahiro Nohara (Jul. 02, 2000)

(69 396 (139 17080957136533 82047318492337217405399947) (P 74))
(69 455 (139 55339 23035513 22070202051467178202393) (P 81))
(69 459 (1381 259929073 5070509603947 2651992432836002481614569 648055754646053110386032532612397) (P 36))
(69 654 (277 25117 51640843 587834461 3741661394356965103045548673) (P 73))
(69 667 (226183 1031413 1106761 1691650786314082171 443724818668930754492893 1027983360453469738463635837489) (P 35))
(69 668 (691 13249 347209 238734343 382995891778896561071887) (P 80))
(69 671 (10963869045271 406696944407648677) (P 94))
(69 673 (139 53750186351350510290828759619) (P 94))
(69 814 (3137253010098355629097) (P 107))

(69 684 (1126771 144278439299613515029201) (C 96))
(69 711 (139 418944403 245699342779619346221623) (C 92))
(69 712 (829 11567851 269896822521816282262530727) (C 90))
(69 894 (1381 24151 147661 2751334153 217118452485056787949) (C 88))


By Yasunobu Torii (Jul. 02, 2000)

by snfs
(108 986 (29917 96661 42721807887012451428326719389447037) (P 64))
(108 987 (109 433 757 295591868161635749203935514949273713) (P 65))


By Tetsuya Kobayashi ("Hamayan") (Jul. 02, 2000)

(55 259 (88771568939640001232899305165085668903884168621) (P 50))

(92 154 (5902323941 292996923078069978942553 1225677076338152548094429) (P 39))
(92 920 (8182021 2723477194534441 1134408980430800826104857921) (P 82))

(138 316 (277 937528807 8482560643725280015024483) (C 74))
(138 640 (277 10292839849 1205536638873779232707653) (P 87))
(138 825 (139 2185921 49897234126310041 3372602691081183173881129) (C 79))
(138 984 (1381 781771 15233107715538536327503 5664993794533514244455473) (C 76))


By Masaki UKAI (Jul. 02, 2000)

GMP-ECM 4c
(110 926 (11 331 155107151 242552744046839215316911 189939890138478532482413611) (P 58))

(55 939 (11 2879396586331 209966208727441 16215102325694393691009275221) (P 63))

(82 642 (3691 523571 1452631 22862509779341 16008442674763013295824963) (P 59))

(86 734 (431 1033 7291769 63809507 95184629 63880406880361372617947) (P 70))
(86 834 (14500444818679 47618624503029383 6497480100986837821) (P 75))
(86 865 (30372229991 683576826830301479833339) (P 90))

(98 444 (133379 1461671 67270189192691717 51981056158689005440009 2506838061667868471442817) (P 36))
(98 456 (197 12251 18229 28970073101831 455787170806851540777630903737) (P 58))
(98 724 (607993 1185016605147592353053) (P 94))
(98 736 (252567169 680842602413 32962052542450081 8994498100194350471071) (P 62))

Jun. 29, 2000.

News !

Prof. Morimoto's Web site for cyclotomic numbers has moved.

  old : http://torch.icu.ac.jp/~morimoto/
  new : http://subsite.icu.ac.jp/people/mitsuo/

Please update your bookmark.
And the search range has extended up to phi(n) <= 120.


By Igor Schein (Jun. 27, 2000)

(98 145 (228487687 531867625902566483416974345060251) (P 50))
(98 318 (197 197 428910821814364037 235035501954548281522437313601951119) (P 48))

Jun. 27, 2000.

By Tetsuya Kobayashi ("Hamayan") (Jun. 27, 2000)

(63 522 (2017 73552120090630571634128467648431913703521) (P 54))

(138 270 (95911 2496973 1965936228681863198645574637 21947161699957123667031533610373) (P 37))
(138 596 (139 3313 350521 61934045980590238383016987 321459804088658973158972687749) (P 56))
(138 682 (139 1387298392278410083 3389552487628995722126551) (P 80))
(138 704 (39901523200324485428345083) (P 100))
(138 705 (691 66607357 4927006687 12732610595041414626667) (C 83))
(138 722 (10627 1572556507 111437961628373807775043) (C 90))
(138 738 (6334152228561788867364834169) (P 99))
(138 861 (610498310835209309573317) (P 106))
(138 902 (139 174571 303463 601707383721436417 3070446293755307861147222381779) (P 69))
(138 923 (277 75211 75763055149 357650103413981011404105007) (P 86))


By Masaki UKAI (Jun. 25, 2000)

GMP-ECM 4c  (M(98,595) was factored by using also PPMPQS 2.6)
(86 402 (173 1721 524009611 42535100235262209761933) (P 73))
(86 486 (648326668509991729 13535631158829987134383) (P 73))
(86 544 (173 2409377 27475711 56547960093792867535573669) (P 74))
(86 699 (11353 9321713 22205228467 4132224831754783 19144504934487827174323) (P 61))
(86 700 (431 12033013516747362526030051) (C 92))
(86 835 (431 6709 63211 1512311 2549007406949377393) (C 87))

(98 364 (883 13226547896386512944551 22342139941666126205191) (P 61))
(98 384 (7 250979 11428487267 2765698312554171826238093) (P 68))
(98 560 (1471 192571 415783402632269354659594772911) (P 78))
(98 595 (197 491 747424343 5824807577 148903094502966223291537 14323395065651709390734753) (P 45))
(98 604 (491 2647 32649289 12882151874203619470219) (C 82))
(98 721 (495549770944187 5672674153042898569933) (C 84))
(98 781 (11180233 7137785411 1334287420021846764923) (C 84))
(98 822 (939229763543 18641946709628875376479) (C 89))
(98 888 (7 252449 18238291 574993284083 625174962203172575510755993) (P 72))

Jun. 26, 2000.

By Tetsuya Kobayashi ("Hamayan") (Jun. 25, 2000)

(55 244 (1423859663727148054854158805293315427713171) (P 54))
(55 248 (3286471 3858439924696948710035023082034841) (P 56))
(55 568 (991 52691 41358288963035922461 12663380138773835230301219634056651) (P 49))
(55 721 (2971 18171121 775629099337768522991 257128155989149255452334956153221) (P 51))
(55 855 (331 991 279731 250384575515995095430861 564489669547994329773495935041) (P 54))

(138 426 (260556283917964541503 490280257421295724323613 22005343244138633952063643445929) (P 41))
(138 444 (1933 164424103 1573093274922613 177078878596257657503410063) (P 64))
(138 518 (139 741061 44974109565762325509199) (C 89))
(138 551 (139 277 24979 83546443 100702764918814965736561) (P 81))
(138 602 (36709 10755859 5521068612816391262209) (P 89))
(138 627 (763965221044492554097 774421360314520092838734943) (P 76))
(138 680 (300427 902588173 14193281606929773409 788198141719056964125247) (P 68))
(138 692 (33460104152198691738163 37306880820430572694741 2105181649570565829827833 144189355861105319358761443) (P 30))
(138 703 (21906949 122748805173170068087213) (P 95))
(138 721 (139 524687746722502979926433923) (P 97))
(138 806 (139 83077 499466410609 418151061371794875486199) (P 86))
(138 816 (1000452529 90272659311529 25265041959475348541419) (P 83))
(138 860 (139 277 5996471442464414660001457) (P 100))
(138 994 (139 78710795893167356235826430029) (C 101))

Jun. 24, 2000.

By Igor Schein (Jun. 23, 2000)

(86 413 (173 431 1288109 12562919998115477 440227479915316305022189) (P 60))
(86 897 (175328614940809707869 2291244412276998250259543 280557973738549114661737213) (P 53))
(98 192 (100130911603732068739 16440218828460266057017894256376181507) (P 39))
(98 230 (7 2549 610660348649930538542591 4389389222959592510237466287) (P 44))
(98 880 (197 45793517016117599 2007363121359101843 87188208598358399204427755183) (P 58))
(98 923 (7 6856669 81599603717698823 122234024385530451607571 2270300431830544287179321) (P 53))


By Tetsuya IZU (June 23, 2000)

by ppmpqs (Tomabechi, Ver2.6)
(132 775 (2113 153369481 5296244977 1646753523742457102536995943669899618372471757) (P 50))

by snfs (Tomabechi, Ver1.1)
(41 604 (83 27818419 1531825329227153606330924130746708416429) (P 63))
(132 568 (71413 397961204868205262570527874821) (P 76))
(132 581 (1453 3042469 1520385326621815616027221632241921) (P 68))

Jun. 23, 2000.

By Igor Schein (Jun. 21, 2000)

(69 296 (3143641 23078447348708648884027 21966577375714292053408648429) (P 52))
(86 329 (1721 5333 54869 695210549773 503165020673829681642878317743521803273) (P 44))
(138 240 (139 5659 1215919 6033292644062649992809 92809669562452596181859362586850109) (P 37))
(138 245 (46352407 1299163756754612068434343 2370864190582866771406714849710601) (P 40))
(138 396 (893195598752209 717619930170523018819717 78806278040027208771253094671) (P 47))
(138 561 (277 691 4003 186301 7188007 384809419746344505467205223 71081365465467997440021647911) (P 45))
(138 712 (139 73929879847 3707077185345946537 198869982009998887879 216659631034596040904989) (P 51))

Jun. 22, 2000.

By Masaki UKAI (Jun. 20, 2000)

GMP-ECM 4c + PPMPQS 2.6
(100 378 (5 101 70501 465901 467043025360827524684360801 73741526832167554597091897401) (P 35))

GMP-ECM 4c
(88 680 (8024872829424010560794170609) (C 86))

(86 368 (2664766762925411404715291873) (P 81))
(86 750 (1140849411565933 18496074502208938217621) (P 84))
(86 897 (175328614940809707869 280557973738549114661737213) (C 78))
(86 901 (1721 32251 999149 3247619 46377700202358212790721) (P 82))
(86 981 (173 4782422024386682845869378269) (P 96))

(98 174 (7 197 1920354906660383853912705839) (P 64))
(98 192 (100130911603732068739) (C 76))
(98 230 (7 2549 610660348649930538542591) (C 72))
(98 342 (7 65799749 1090443943 1080551386604755633) (P 71))
(98 368 (549683 460096673 20501154689 1201731648568253383291327) (P 59))
(98 395 (883 3421148877280947583) (P 88))
(98 589 (659639 143006132711504413876771) (C 88))
(98 786 (491 2044171844070959 40708466969818621 31481924651263048411387) (P 65))
(98 817 (5620519423 2854091002547 4620569519664164693175487) (P 76))
(98 825 (7 32341 393907575587 890854130245760927 4399478050367198205379099) (P 63))
(98 880 (197 45793517016117599 87188208598358399204427755183) (C 76))
(98 889 (4532599 45986401407644100004416319) (C 92))
(98 923 (7 6856669 81599603717698823 2270300431830544287179321) (C 76))
(98 932 (197 53411 92098637 586635636847772912546987) (C 86))

SNFS 1.1
(57 828 (19 2281 120414393762846466879229562126245551057069) (P 60))


By Tetsuya IZU (June 20, 2000)

by ecm (Izu, VerB.10)
(150 448 (151 153009384976137450017334001) (C 78))
(150 573 (151 330134551 21954544501 1665739517541119690220368159291701) (P 57))
(150 654 (101097151 42427678201 2347415207127086073169206816751) (P 64))

by ppmpqs (Tomabechi, Ver2.6)
(43 258 (173 155973515839 20429394636318719070500455267696993) (P 54))
(49 868 (363818270537 517781671709 453293818032049 195039107972339804936865630497024501474113) (P 45))
(132 903 (162229 173053 5346793 22017632869 6766398954670428999916450990143493441) (P 54))
(150 448 (151 153009384976137450017334001 12042020007450800696242917901) (P 50))

by snfs (Tomabechi, Ver1.1)
(41 544 (5987 2223168674213021923717559876553731080185737) (P 64))
(41 548 (821 9431 3728896748288455582019272903999803211) (P 62))

Jun. 20, 2000.

By Igor Schein (Jun. 19, 2000)

(86 230 (4817 13159 433317193 1277629426498047149555983067) (P 56))
(86 267 (4728837109 17214558941 23469986195858914368577429310074658860831) (P 42))
(138 489 (139 173678938291387 1622040759389324417401 21370926954103405079470588608363082447) (P 44))
(138 687 (277 967 29671 58913016520303711 3584547644406704860867 26762104925712623451349) (P 55))
(138 855 (139 691 347071 8427138475553728681 2458280798779232189437 49678203613920224353183) (P 56))


By Tetsuya Kobayashi ("Hamayan") (Jun. 19, 2000)

(138 159 (6211 9704586421 2435821801395245851205281 14676780319907368042054723) (P 34))
(138 176 (73417 55776096011932321291051 2208096896020800672094865923) (P 44))
(138 212 (139 15319 113145351616292286007) (P 76))
(138 236 (1657 1494283475941 1159435589656612014418579009) (P 62))
(138 240 (139 5659 1215919 6033292644062649992809) (C 71))
(138 245 (46352407 1299163756754612068434343) (C 74))
(138 285 (60807146388244832383) (P 89))
(138 297 (139 8105983 180579073 723373507 11479972724343736135297 177946672968976621477321) (P 38))
(138 299 (139 277 829 32707 123745363246261 426760777287212240391067) (P 60))
(138 309 (1657 173191 162187692838519 84949996027347191793237919) (P 61))
(138 325 (8419 926533 381947415773584819322045347) (P 75))
(138 340 (277 829 31741 478999 22261471 14597732374705607308471111) (P 64))
(138 370 (139 70240351256793517075909) (P 89))
(138 396 (893195598752209 717619930170523018819717) (C 76))
(138 410 (139 277 477619 6839971 724132369 145866734923353119059 265356234784520185470457) (P 46))
(138 454 (277 967 6073 15376237 145254523 10153619929 7751981273977041139729921) (P 58))
(138 466 (277 1933 13433611 10071130862602987 1155159885431212866691 27004199820496139724838890637) (P 40))
(138 478 (139 2082826415797 24214427585119687609) (P 85))
(138 495 (691 18698323387 63824274363158037847 50627264310397379952931) (P 63))
(138 540 (139 102259 1466389 47482061581 11106684995935983437029277521) (P 69))
(138 561 (277 691 4003 186301 7188007 384809419746344505467205223) (C 74))
(138 586 (1869487 2675871292486669 5224710938126721125473009) (P 76))
(138 597 (7828156137610893151597) (P 101))
(138 623 (5107 9661 10127072138864453661479827) (P 91))
(138 672 (1764089040271 54448960979809553314537) (P 90))
(138 692 (37306880820430572694741) (C 103))
(138 698 (139 20847535976651317 413663160047531999071627) (C 84))
(138 712 (139 73929879847 3707077185345946537 198869982009998887879) (C 74))
(138 747 (694107571 397678866063733296949) (P 97))
(138 758 (147661 604052773 1511195915659 37253603175463592520553) (P 79))
(138 759 (2038180237 31449044251 108472936931481375661) (C 87))
(138 799 (139 134332906729931851 1159648772491243051 189882572256208516373287) (P 68))
(138 836 (139 4969 12689653 3650763091 1047882536296460459794183) (P 83))
(138 866 (139 37928434485958772383) (P 108))
(138 868 (174877327 2262325771243 181955653817063066127173939581) (P 80))
(138 945 (139 2347 180314252952458670211) (C 106))
(138 964 (139 277 2923778708017 35825221672306288006405657) (C 89))
(138 974 (106341228319 5527550868561456531607) (P 99))


(55 459 (1143354495737242028271791 126170192137673128531820333096733281) (P 48))
(55 539 (506706600402205858359015301 4494925673155828195721672992141) (P 52))
(55 573 (5008998176736022522850957161 37428371004595669918998873828101) (P 52))


By Takahiro Nohara (Jun. 18, 2000)

(69 287 (139 277 61225460796755433917529433 355294330627444842353088051391) (P 49))
(69 387 (5521 8971 42845365805854878235017157) (P 81))
(69 405 (139 829 7039 2604032954899 1664304158585164231) (P 76))
(69 471 (139 277 691 45817 685723 4269701710346503 170703141182938523477616164845625032023571) (P 43))
(69 543 (6073 230780104776806787999031849) (P 91))
(69 566 (2828173 16133208643 21529993141825225180160769631021) (P 74))
(69 614 (1933 73693 37750886714767 974842000501250695027261) (P 77))
(69 627 (139 164540021449 414076155301 108751169183414353806322022560819987) (P 64))
(69 636 (16561 279451 4630541641917904639 162878794016834613518582791) (P 69))

(69 296 (3143641 23078447348708648884027) (C 80))
(69 378 (11317 72414079868650722647077) (C 87))
(69 612 (1021753 12565153324589233910921557) (C 92))
(69 615 (111229 996361 38116755021139637461) (C 93))
(69 628 (1404979 2675402099666701404877489) (C 93))

Jun. 18, 2000.

By Igor Schein (Jun. 16, 2000)

(110 738 (910109437018541 14923673935352715177618161 101887009959168514422449032977664801) (P 40))
(138 339 (139 277 691 720361 13237453000244183143 22228710524338997449603933277491) (P 48))
(138 818 (139 7192209893625786833131 5692335596919542569223557 657987254035227410796044083) (P 53))

Jun. 17, 2000.

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

(55 242 (21974269855691034545228702120035175990940430831) (P 50))
(55 406 (5501 3776889934691757841 12923035513924380057811675558920261241) (P 45))

(138 489 (139 173678938291387 1622040759389324417401) (C 81))
(138 813 (2823330055441046937662287) (C 104))
(138 850 (1230035736442442360467 2057683338323585608993057) (C 84))
(138 915 (829 41254946851189 1688727271315274374295689) (P 90))
(138 952 (277 967 54946106737777 556496853905742261901) (C 92))

(94 304 (283 5077 1173565843 10776354299 33572678594354945320899731) (P 64))


By Masaki UKAI (Jun. 16, 2000)

GMP-ECM 4c
(55 950 (11 2311 208297321 307987829471839237518909931601) (P 77))

(138 218 (777564198168888591673165249) (P 77))
(138 238 (829 1933 4969 1044792900801958477005260659) (P 68))
(138 319 (354498660751 1141973889899761524554167) (P 75))
(138 489 (139 173678938291387 1622040759389324417401) (C 81))
(138 612 (139 829 1381 112070033887369 945237763382761 17375528097216819115218547 937516359865966201976731) (P 37))
(138 687 (277 967 29671 58913016520303711 3584547644406704860867) (C 77))
(138 688 (139 30416719 22517760289 18039443133277311833539) (C 83))
(138 855 (139 691 347071 8427138475553728681 2458280798779232189437) (C 79))

SNFS 1.1
(114 686 (4561 4026239257012078843592357184882945337985164840501) (P 50))

Jun. 15, 2000.

By Igor Schein (Jun. 14, 2000)

(92 583 (10949 25117 35336239061 14790823492009076585833 6999075002249082747482729) (P 56))
(92 854 (1013 50417 11446483737322121093 308957077017179916653 7584845279290608047479643839785687179401) (P 42))
(92 894 (1289 9109 3650619116741669 2652892768557585006517 61760961518181938051700729675493665747817) (P 46))


By Andy Steward (June 13, 2000)

by ECMfile2 (Ubasic - KIDA/steward)

(41 836 (128263093249 37899215653298785231498656693327617) (P 72))

(43 710 (12461831 365027077320916321835207) (C 90))
(43 788 (173 21749573 32604116353 8233022932916533846224980665919) (P 71))
(43 875 (173 110177611 23523362891423216182456387199) (P 85))

(47 633 (1693 359161511593551687140416447093) (C 97))
(47 679 (9416972171 12146743687904768947555201188763) (P 90))
(47 826 (156511 11867783 22499814766775081761) (C 103))
(47 868 (941 4231 28859 51607 1459727 8875142210826187064963 173295067333528814019131777625979) (P 60))
(47 875 (916728473619199 2086615422782897 34841065198261775465313769291 17252394737020481466802594324421) (P 46))

(49 192 (122248043 95643054478975155734723) (P 65))
(49 562 (7351 938057 3692641 4117143582897332484405029017050799) (P 66))

(53 192 (107 23003 94535895928170598543918642912369) (P 81))
(53 250 (107 2969 507317 1218683 41429359 1993028955781180735712011951) (P 73))
(53 464 (107 610900579 1466321321 1792201891 68356868490852355259071) (P 87))
(53 562 (107 59149 358069 1405668757 48067401313929285313 3984151140960307002953) (P 81))
(53 693 (2333 10601 31271 44839 532737843735830472452501) (P 108))

(59 161 (14633 21911865767622002887369) (P 102))
(59 192 (2243 265754811622113474251) (P 109))
(59 250 (5717809 1124314766557 14427169538202129849458489) (C 96))

by PPMPQS (Tomabechi)

(43 826 (13159 18476413 49765901650753810105940357260771 79917496688841987212956642218748646509) (P 42))

(47 906 (13774928543 147026822677518211 1092368408619753781177 743830197217018401556324606180649718959) (P 49))

by ECM & PPMPQS

(47 693 (283 1787 17579 39293 14180923849 219845265841777882962565829137 556255030019884769104265625212097541) (P 41))


By David A. Miller

(43 435 (431 8171 21673 28123551871 16936362340205201228567803193369) (P 59))
(43 890 (10415891 1258991850548563367957970611 587412260748931907640961365517) (P 60))

(47 161 (283 941 2351 84131 55927093478682952324834074401821) (P 57))
(47 203 (410687 1844377816777 582727859002599982416659019966787) (P 56))

(49 464 (197 61439754970053154451 1676818640110437085055304075041) (P 60))
(49 642 (197 79087 33447300495865046499101 6562890347314934355477723721187) (P 58))


By Henrik Olsen

(49 164 (491 5695435358182469678060884957768728113) (P 54))
(49 250 (197 1471 1332395970026228604854830039587537137573) (P 57))
(49 284 (83497 8683124539441425991123733765918262746816633) (P 56))
(49 345 (2525363 1016620249 3159498009838598794713937743923834090694843589) (P 46))
(49 358 (7 7057 6843241601605374619139166270483566009) (P 66))
(49 366 (267328709088799112441042271754778643607) (P 70))
(49 405 (10781 1039994369909403327639066252669922057135109132779531) (P 55))
(49 409 (86877611379588788843800601401840389127721) (P 69))
(49 414 (7 491 1149143276368346583088994977357557875481895223) (P 62))
(49 419 (48320657958211364157608280442120970441623937) (P 67))


By Nicolas Daminelli

(41 710 (41683313266579623269 407401988174424433755746416873567849) (P 59))

(43 475 (234007 39317594969617 3943802998479189392724131414819) (P 63))

(49 495 (197 106969856201575039 13991228716988200702950801315409691) (P 60))
(49 500 (491 1206479 24956447741 125035186637615880160002120751516741) (P 60))


By Warut Roonguthai

(47 192 (44651 199751 949119407528319330919169538869964153233771) (P 54))


By Masaki UKAI (Jun. 14, 2000)

GMP-ECM 4c
(110 738 (910109437018541 14923673935352715177618161) (C 75))

(75 782 (578401 79690290406804460701 49778980834255683408849298801) (P 62))

(88 542 (881 11551409 30451938638857680557157754323577) (P 68))
(88 912 (3433 10820418674473 56469452734063980726367362881) (P 74))

SNFS 1.1
(114 392 (19 10675009898820507299035981705408735342507) (P 53))


By Tetsuya Kobayashi ("Hamayan") (Jun. 14, 2000)

(138 278 (757238983 179104281871 16327561430479244047) (P 69))
(138 291 (41953 979628895054072931 399629784638497609872583) (P 63))
(138 298 (3037 447188516428267 252095156746600233077719 23754573721408775701853857) (P 42))
(138 323 (3313 2925049 227721943 124555751409562728076477 42986564460327766757029679923) (P 41))
(138 339 (139 277 691 720361 13237453000244183143) (C 79))
(138 384 (1503125936840636832079 54990235569799849032554647 226856806921284390593198816809) (P 38))
(138 393 (139 304153 5403663987198219312421) (P 85))
(138 442 (1542703 2411579809 102597771043 1119517564929507697) (P 72))
(138 448 (1381 35053 2163418328322603513961669) (P 85))
(138 471 (166429 5975677 319728661957 2101017664505095632809179) (P 70))
(138 473 (139 277 967 104557208949390112441) (P 91))
(138 483 (277 102673 241513167387761473) (C 94))
(138 485 (139 197203 5713599171073 59316406097227673077) (P 79))
(138 559 (139 33562756693369 4585903189641493 1187132080814957041) (P 72))
(138 583 (277 1381 9762911293 286086782354418106687) (P 86))
(138 584 (26793253 2392360135775281745413 44353127133817196894893530667) (P 65))
(138 638 (4831 8518051 473603029 1874064484212848880847) (P 83))
(138 680 (300427 902588173 14193281606929773409) (C 92))
(138 689 (22085654072659 3013962711974143) (P 97))
(138 696 (7867 65827 499127199973651 8936432733950096371) (C 83))
(138 714 (139 691 2223339427276391779) (P 103))
(138 746 (277 1657 27014854190160841 32782447007638033) (P 88))
(138 765 (139 967 321403 181753018191652650283) (C 96))
(138 775 (508394899 4456080377899 48630723735173721151) (P 87))
(138 794 (6211 12421 528127 15074717746364328421) (P 95))
(138 818 (139 7192209893625786833131 5692335596919542569223557) (C 80))
(138 848 (1161539044801 6539221784307013 13360562472604783 626488418338461625153 314074953464030975290375934299) (P 35))
(138 850 (1230035736442442360467) (C 108))
(138 888 (14767 1041833004019441 268949526124334624119) (C 91))
(138 891 (125029 253507 3671077 20153279366002075129) (P 94))
(138 898 (89594560411 8580745664075059) (C 104))
(138 910 (3037 1120238636323294693) (P 109))
(138 920 (277 106244009459761 122050221826689853) (P 97))
(138 958 (44594734777 544509969835609009) (C 103))
(138 976 (139 45577323479657281969 2432377265603701715287) (C 89))
(138 981 (565111 16166413927 511974231049 1073244839052631991923) (C 83))

(94 497 (1129 34781 10443119 859081229 2021119269833 39361725611160332444794052962060073) (P 54))

Jun. 14, 2000.

By Tetsuya IZU (June 13, 2000)

by ppmpqs (Tomabechi, Ver 2.6)
(41 710 (41683313266579623269 407401988174424433755746416873567849) (P 59))
(41 894 (83 17959 15574401880734029 1193473621159921561919528097289750742373919) (P 54))
(47 161 (283 941 2351 84131 55927093478682952324834074401821) (P 57))
(132 746 (1021595931340699327372849 2063286070225619499153815809020186555349) (P 52))
(132 756 (759578739366831892861 167078981393179937432154402771230812777) (P 57))

by snfs (Tomabechi, Ver 1.1)
(132 533 (3343089784649283733287562565453987990473) (P 70))
(132 551 (6209017 373123081 5253946315091369077553348345146866585829) (P 55))

Jun. 13, 2000.

By Igor Schein (Jun. 11, 2000)

(47 442 (573871 1985939 1281261173 4473714133695389677 759236957184391110621149131880396029957) (P 43))
(92 489 (136365895764202529 43823251952066394423041 1818172528989902417424541780888721) (P 46))
(98 864 (491 1373 1471 3823 1328485061 412300371612244227631 278432623250412936767133197) (P 55))
(138 951 (20011 3977574423937 4639938717679 49304125757041545679 23763226851655674654312704569) (P 54))


By Tetsuya Kobayashi ("Hamayan") (Jun. 12, 2000)

(92 219 (829 12145935749211233 6431130982386779914121) (P 63))
(92 285 (277 10949 569021 174182810928761203146937 816238845607127448768499115632609) (P 40))
(92 350 (277 91328997949657320998317 10262481104435978232527969) (P 62))
(92 519 (237821 20031501891424686414889) (P 92))
(92 583 (10949 25117 35336239061 14790823492009076585833) (C 81))
(92 585 (461 136897 6095737 177547975217460830329889) (C 84))
(92 817 (5112901 19377031813 4767239171658807490093) (P 90))
(92 862 (877313 3098692038713447221 3242854566449569568725981) (P 81))
(92 892 (277 2076901 22830169 16320823973995375897921) (P 92))
(92 915 (273459881 2621120297 156643628884440619652919037) (P 87))
(92 974 (3037 115001 5353587291191878613521469) (P 99))

(138 651 (306806831303246107) (C 107))
(138 695 (277 1224581709749685139) (C 105))
(138 819 (43283827651 45466522723309 597766577012835577) (P 87))
(138 943 (139 277 334659937 41991256171 212352147151 363577908655839353209) (P 76))

Jun. 12, 2000.

By Takahiro Nohara (Jun. 12, 2000)

(69 325 (139 277 2904073 32600362569889 21431963534657168198506243) (P 61))
(69 346 (15976573703013433791577 884495559588831989635693) (P 66))
(69 366 (252887157631 414644376016618563048806197) (P 75))
(69 369 (829 439952512917925519815547) (P 87))
(69 502 (113437 12861157611080999390627599) (P 89))
(69 528 (1085122567 586694051630632641271 43456036188093947784756787) (P 65))
(69 530 (139 829 1381 95724711589998781 4430928563475337513797523) (P 71))
(69 531 (1933 73548977077 7914412856213755201) (P 87))
(69 536 (41424013 47133321349298413 15204878956191371187569070061 246239475820957631470058489227) (P 39)
(69 539 (139 967 46093 11127125749 3218443598294762977939) (P 79))
(69 547 (277 36571 3732459229 57713165461829436034257849714841) (P 73))
(69 548 (27274096441027687 9053428603641216373 49434349732902227313079) (P 63))
(69 552 (220663 3732625657 1382078524911382633) (P 88))
(69 570 (800677 18875219961474620409204289) (P 91))
(69 583 (4003 102397 163117 404138265138663361 297555113502432017413) (P 70))
(69 605 (139 6261712637881 1915655886148579 329673006448785978144631) (P 69))

(69 477 (2752068859392340130647) (C 97))
(69 515 (277 77893285174281194571571) (C 94))
(69 581 (139 829 2000112817470324048601) (C 96))
(69 598 (3037 9976130962843217104869229) (C 94))

Jun. 10, 2000.

By Tetsuya Kobayashi ("Hamayan") (Jun. 09, 2000)

(92 152 (277 4782231804301783830783793) (P 69))
(92 322 (225528894443806116436841 16341742321457937325002569) (P 62))
(92 350 (277 10262481104435978232527969) (C 85))
(92 424 (461 1289 16193 124301992949 5538734704240846471351489 156799204203740531381526821) (P 44))
(92 454 (1433397976313 1526680965023933129554264076685637 2729432650372250612095309293780157) (P 39))
(92 478 (7499202032279692074449489) (P 94))
(92 489 (136365895764202529 43823251952066394423041) (C 79))
(92 501 (1013 1120459299631669 2834022366435741905744557 1870092430441999542093345936593) (P 47))
(92 531 (12114101 323277329 57036032754442193 243342300422466131664749 395474556241614971664914930953) (P 35))
(92 604 (121441 36119632212583521397 14154058959128897289046561 212691215066111718218227528627391057) (P 38))
(92 655 (24022300576957 114908511497035067549 585284314186624543360726709) (P 64))
(92 832 (363677 3008018973238614383823553) (P 99))
(92 885 (277 461 1013 36520664909 90078880970917 23595015308325248370221 6121988140617520837423027009) (P 47))

Jun. 09, 2000.

By Igor Schein (Jun. 06, 2000)

(92 202 (1289 1933 54707796099466361897 131198557707595894321124547001) (P 47))
(92 290 (28429 429917 112107854077625058173 411106173422365700713031091066202732741) (P 40))

Jun. 07, 2000.

Erratum pointed out by Aiichi Yamasaki (Jun. 06, 2000).

Error (digits of last prime factors) :

(41 588 (83 11317 7037159 45116306382512763265225498412584938988465643) (P 56))
(110 403 (11 231551 60456266861 233038576503720500094120064445661171989959511) (P 43))
(132 493 (120815738106229 1426738069045319290314082764913543081) (P 57))
(69 293 (1381 4831 109849 9389397492074724709034000005522922941) (P 53))
(94 515 (283 555961065525277584233) (C 104))

True :

(41 588 (83 11317 7037159 45116306382512763265225498412584938988465643) (P 55))
(110 403 (11 231551 60456266861 4553755130146299342589057596734382365603431) (P 45))
(132 493 (120815738106229 1426738069045319290314082764913543081) (P 58))
(69 293 (1381 4831 109849 9389397492074724709034000005522922941) (P 60))
(94 515 (283 129730967887107419728389102537949079) (P 88))
factor of M(94,515) was found by ecmx(ubasic).


By Aiichi Yamasaki (Jun. 06, 2000).

by ppmpqs(ubasic)

(114 519 (15287287 420316307493692247919254539754802579093) (P 52))
(114 524 (49324153 273169085119634380696818955739969035633) (P 52))
(114 615 (6646201711 25848495868241862699625273561398240343) (P 54))
(114 781 (933319 58576393 47038245990334152098129396452267219423669) (P 50))
(114 635 (19 7069 35227 10391375584968019911926779706420101) (P 58))
(114 651 (10466784829 121939721010691634416048536014226721942674721) (P 48))
(114 755 (845380387021 880905384467495674982775789322820077) (P 56))
(114 765 (229 98041 124147 281984356182854684506344665080178971745881129) (P 47))
(114 981 (19 700623852109681 1157624354979885733063878907654791734298450193) (P 47))
(126 455 (6301 4018267380926905739154647981859907) (P 59))
(114 364 (3179436540785352358572762740732905621) (P 56))
(114 392 (19 10675009898820507299035981705408735342507) (P 53))
(114 444 (229 122976207296609766517144366775735447540971) (P 52))
(126 371 (36142115974928258080160367326382866068201399) (P 49))
(126 537 (127 8191 99528633197431785167758325153546760738613) (P 52))
(126 651 (867566701 11909577256855301944704844570932909271) (P 56))
(126 724 (24697 1122157 67754054581789531574656365763410515364049) (P 52))
(126 949 (622235931366169 241252999153478012638637116145349636079) (P 55))


By Tetsuya IZU (June 6, 2000)

by ecm (L1=400000)
(132 598 (1282662940271171026933629218989) (P 81))

by ecm (Izu, Ver B.10)
(150 335 (9151 27625487433997494561432909301) (P 69))
(150 763 (2934840483028104021430951546801) (C 85))

by ppmpqs (Tomabechi, Ver2.6)
(43 818 (43 1979 785999655251 576136505021148293 350105524953611081874261522055809023423) (P 50))
(132 939 (1756716434369123369007889 42162552601075125104553350180653) (P 64))

by snfs (Tomabechi, Ver1.1)
(132 506 (3037 3433 2050826094036319553699239827160719942046060038217) (P 53))
(132 545 216686692056550778657137362645483864431970889) (P 66))


By Igor Schein (Jun. 05, 2000)

(150 687 (1201 38201962209821093537344980001 248740331737053674958637276687651) (P 50))
(98 840 (15289 7452082767703337 2074856465573637458623 8482552822236091657806803426141) (P 51))


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

(92 202 (1289 1933 54707796099466361897) (C 76))
(92 231 (6073 505580020921 161354839429373654204141) (P 66))
(92 240 (277 247524162327792373 946018261776794201458249) (P 61))
(92 302 (205069 1903277635556599372145297) (P 80))
(92 316 (461 133769 65732969174779681 8199123643774163143037) (P 64))
(92 328 (277 210065859101401 2385740250526148220806561) (P 70))
(92 329 (244268801056300795963697) (C 88))
(92 480 (2958047062631815950889) (P 97))
(92 492 (48761 457517 340723381 445487195798156504717) (P 79))
(92 515 (20432464369 24459034349265823721916693173) (P 81))
(92 518 (461 1013 1933 41685937 25906168577865743681) (C 84))
(92 530 (168269 29967437 118901182965457 9944037601794185369897) (P 72))
(92 586 (277 8741 281152598722080541685429) (C 92))
(92 706 (277 153239249 205291162009 2337063574104020833281517) (P 80))
(92 734 (461 1484653957 127711099133 142732741061520697555469) (P 80))
(92 750 (154907117 155472181 636838360824193567517) (C 90))
(92 788 (461 53453 22870510024507349868493) (P 98))
(92 799 (277 5062853 85243061 370280681 72431651429 183138748156378327529) (P 71))
(92 822 (27059393281 3254845920148673 102798914480367697 773356592884572068417) (P 65))
(92 943 (609095569 1028028517 2807116320690126569 37780209556884318605526038497) (P 67))
(92 985 (1381 22817 256553593 15363871376304471405797) (C 94))


By Takahiro Nohara (May 29, 2000)

(69 513 (967 13249 6312377509 22538846150431708824569505373) (P 74))
(69 514 (277 158563 4480033 153888769 130899258136073204816611597 115176117757793080311875628031) (P 42))
(69 524 (139 967 3395032196998549 96466679479789093 122347495177254219073 2107006520181501229297490639443) (P 32))

Jun. 05, 2000.

By Yasunobu Torii (Jun. 04, 2000)

by SNFS

(108 983 (33049 12950713 860377010295901667262735071764329482162701) (P 55))
(108 985 (541 132409 7470235634962611707026179082011954166207393) (P 58))

Jun. 04, 2000.

By Tetsuya Kobayashi ("Hamayan") (Jun 03, 2000)

(92 135 (5056321 2722033856797442411897 325633061676428274217428500415049) (P 34))
(92 305 (943282664237857 23272986998062930595463301 75746311655946661380930897408029) (P 38))
(92 358 (41953 879797 6886383042543574531889) (P 80))
(92 552 (277 31189 102397 22051573 465098101973720784433 770921007105829164028837) (P 57))
(92 609 (460367021447127933997) (C 102))
(92 804 (17373778591135683593 471207308782563375881111977) (P 82))
(92 860 (829 2598858999685789 4717794357157901121953) (C 90))
(92 988 (1381 8814085393 3955238360951969050721137) (C 95))


By Igor Schein (Jun. 03, 2000)

(43 826 (13159 18476413 49765901650753810105940357260771 79917496688841987212956642218748646509) (P 42))
(92 403 (19597 27509 50663297 10733613779003729333 37419309044196417132431835441036901) (P 45))


By Tetsuya Kobayashi ("Hamayan") (Jun 02, 2000)

(92 215 (1828789362595925232781) (P 82))
(92 230 (1289 500164349 8187247249891001741) (P 74))
(92 420 (16882093 154597908908306643843137) (P 86))
(92 464 (35657137103399666868977) (P 95))
(92 500 (277 1933 47933 35008435778127467477) (C 89))
(92 708 (35348149 610474148717 94130735143201 26729943676383811794677) (P 70))
(92 804 (471207308782563375881111977) (C 102))
(92 854 (1013 50417 11446483737322121093 308957077017179916653) (C 82))
(92 894 (1289 9109 3650619116741669 2652892768557585006517) (C 86))
(92 902 (1471633 10006895332852545675013) (C 102))
(92 916 (36709 96649877766881 464483912083960721 259473896832658949401 39182715200066315875625401) (P 49))
(92 947 (99332171077950782299373) (C 108))
(92 970 (277 829 2932425007446697981) (C 108))
(92 978 (52187635996190348144630385141406297) (P 97))

Jun. 1, 2000.

By Tetsuya Kobayashi ("Hamayan") (May 31, 2000)

(92 117 (15404483220553013381) (P 72))
(92 210 (8741 452576153 328057440744585829) (P 73))
(92 218 (461 5007377 8265377883880823281) (P 75))
(92 290 (28429 429917 112107854077625058173) (C 79))
(92 320 (454849 40612308329 18823209670144893361) (P 75))
(92 334 (62412386223148829093) (C 92))
(92 344 (5944896018522754870406760949) (C 84))
(92 364 (829 13454240517430542337 1922120444820999354137) (P 70))
(92 412 (7988179016868007261234156129) (C 88))
(92 493 (277 461 1336378961603676269) (P 96))
(92 511 (12329 22817 97613 963107265980343301) (P 88))
(92 520 (3037 16561 8614789 75936748888712209 1373760414667788233) (P 70))
(92 524 (7638374131698998113 784276880956101023189) (P 80))
(92 552 (277 31189 102397 22051573 770921007105829164028837) (C 78))
(92 553 (8741 749526143512444981 425752013858906763517081) (P 76))
(92 588 (95276792981 90340429564702346929) (P 91))
(92 604 (121441 36119632212583521397) (C 98))
(92 611 (3313 2758792387969985677) (P 101))
(92 638 (4139881054739364149) (C 105))
(92 640 (461 829 9309149448601 7380603832306830589) (C 87))
(92 663 (277 5153 2712529 961606817 344324069004331133) (P 86))
(92 779 (1289 168913 467485866261677608851277) (P 96))
(92 862 (877313 3098692038713447221) (C 105))
(92 864 (277 1462495732465297 526559943295627573) (C 94))
(92 888 (1234995673 15179755413401 121247849805486953) (C 91))
(92 895 (317581535535541373 677663428896057953513) (C 92))
(92 916 (36709 96649877766881 464483912083960721 259473896832658949401) (C 74))
(92 943 (609095569 1028028517 2807116320690126569) (C 95))
(92 951 (1075757 6820185668363421362597) (C 104))

May 31, 2000.


By Tetsuya IZU (May 30, 2000)

by ecm (L1=400000)
(132 542 (1226812314421 18567372073465027270515174860161) (P 67))

by ecm (Izu, Ver B.10)
(150 748 (12451 24362101 20252074601701 139066240733931982049538764878351) (P 59))

by snfs (Tomabechi, Ver1.1)
(132 477 (136299604260144751109444644151776597) (P 73))


Erratum pointed out by Tetsuya IZU (May 30, 2000).

Error : (132 483 (397 1321 1426738069045319290314082764913543081) (P 57))
True  : (132 493 (120815738106229 1426738069045319290314082764913543081) (P 57))


By Igor Schein (May 29, 2000)

(98 954 (15289 5936351 257096324507639 312484477636913 10871890602320349532135054632332663) (P 52))


By Takahiro Nohara (May 23, 2000)

(69 112 (3727 381830689773105949065652969717) (P 58))
 P58=1019689712858071036458801181580553598687780520419046357251 (snfs)

(69 147 (277 1381 3117544577595071043792314954917) (P 60))
 P60=191651519499272521074473456869355930383593858100249036839901 (snfs)

(69 172 (300019038139 71400969818462514781 128456407576306962788407) (P 44))
 P44=83389374332344242931972017564656742604450333 (ecm+ppmpqs)

(69 185 (139 277 69865849083683705300317) (P 73))

 P73=2105924039580906073738877886747391109419382839825390863141812931513845491

(69 195 (18493 690531673291 325226609398078303322611129) (P 59))
 P59=13832893469777587973276092929496860744892909364105315309503

(69 201 (131755501 41232512828535179281579 2014024820612649734367807541) (P 44))
 P44=19924486629650331548434318657609400341956259 (ecm+ppmpqs)

(69 232 (1657 237735143488796983 153051440360251792127317 216163314839913455280127) (P 37))
 P37=9216373304437992931513009392496569781 (ecm+ppmpqs)

(69 234 (7867 1473705702495239977 85974123072327251861713) (P 60))
 P60=175812663994311652220545331276207795568875284849447189009093 (ppmpqs)

(69 235 (1381 66103 93787924516513 290351906032246230405601397849221) (P 50))
 P50=85044750933869972866055799379198309410968037622519 (ppmpqs)

(69 250 (967235653 129104071553461576960863067 2208933031566344709188735929) (P 44))
 P44=11667154874065966171006383168662203454325169 (ecm+ppmpqs)

(69 252 (139 277 32408511773412654703 53645988314680901842888243427740419133) (P 44))
 P44=68266257399455658363485581628392022953892737 (ppmpqs)

(69 261 (139 8984077 1959197869 4689926579921648779027 56983670512918224479228436709081) (P 35))
 P35=32736493445592078659441907747126169 (ecm+ppmpqs)

(69 282 (139 20149 37076047 2703293455969196383) (P 76))
 P76=2297011041286169614227003523451239084332828552629136392412854740336245938809

(69 300 (277 71761 3560686108073578648826269 13819629783479251922737644454960549) (P 44))
 P44=10034293671452025044899688680065726969460993 (ecm+ppmpqs)

(69 301 (18500061133 9296739210581599471604713) (P 74))
 P74=66065810791786517565779278352774377631020554702019360763629622122013899669

(69 315 (139 3037 287731 1871262795105227140054717) (P 75))
 P75=369574880142419613655930736794548742978789268541370280106634388952149828401

(69 453 (4969 8839619756478975811 20283759498391508059624141 2340926867878444458982341598051) (P 39))
 P39=353282598922904677575925089761061911581 (ecm+ppmpqs)

(69 466 (139 3816551421144031 2975453924422700389 125490349490173958806577830771813) (P 50))
 P50=12918077871622140390684727704824887043293508171587 (ppmpqs)

(69 470 (1826045257 81565391082897637 2372872427755388389627543) (P 68))
 P68=10546027230443463121712819968683040485149972670042425654225155001113

(69 498 (139 1381 190260463 154418243441369989634401) (P 82))
 P82=8432619316512386157784088063512347269338909905915599369419697759211392995123109407

May 30, 2000.

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

(63 808 (30916019611 342945491975885291679073188472675393) (P 59))
(92 114 (9713154583989019585657) (P 69))
(92 403 (19597 27509 50663297 10733613779003729333) (C 80))
(92 452 (5317180435356125449) (C 99))
(94 997 (4113616089917715011177 19309125003496007037727928431 11215350106553151146150435346609412182884483) (P 45))


By Masaki UKAI (May 26, 2000)

GMP-ECM 4c

(55 600 (13159765460018981 5966845857351992209308707161) (P 68))

(75 274 (1201 33556604695210734207928051) (P 69))
(75 537 (556138101451 6525862875151 1901018518232044607491556501701) (P 55))
(75 913 (3985842595548054205239718501) (P 91))
(75 966 (196201 345601 5685871524608464051 30934132915931009261020351) (P 65))

(82 704 (162731821949 18731961558973257140763281) (P 78))

(88 314 (106217 218417 91418975658755796041154634537) (P 61))
(88 692 (72942123839729 1542431910426976614283358046433849) (P 67))

SNFS 1.1 (Tomabechi)

(114 575 (80545834472331043821587161849512433114543) (P 59))
(114 725 (26245301895414212014132259872759043769808537777) (P 57))
(114 792 (488678080700350843429167229180899568099) (P 66))


Erratum pointed out by Tetsuya IZU (May 29, 2000).

Error : (132 465 (248275770073 5141435478362537799347045851065631615453) (P 57))
True  : (132 465 (397 3169 72073 5141435478362537799347045851065631615453) (P 57))


By Tetsuya IZU (May 22, 2000)

by ecm (Izu, Ver B.10)
(150 635 (147531036151 103957725731755443323090232751) (P 72))
(150 649 (64147341505160506740001 1610995515922227507520038301) (P 63))
(150 687 (1201 38201962209821093537344980001) (C 82))
(150 688 (7351 17851 505423400851 237658586704464905078700192451) (P 65))
(150 862 (4655851 5393227866178384762416451 8518788256029660099232051) (P 62))
(150 974 (751 241202881231051 1670696269636997108724785251) (C 76))

by ppmpqs (Tomabechi, Ver2.6)
(41 684 (484585637857676521 38509900070521383789979597928157781527041) (P 56))
(132 567 (6733 34057 51750706789 61470467826887074439232676574989) (P 60))
(132 604 (5821855385412388575793 720505309505282489148114252317345710313533) (P 48))
(132 789 (17029 8799913 2059805411401 1353990405988854278197331129066330246809) (P 54))
(150 974 (751 241202881231051 1670696269636997108724785251 3849708900705608755741002369478501) (P 42))

by snfs (Tomabechi, Ver1.1)
(132 471 (123968989 6664601139683403614750971977244169841726776161) (P 54))
? (132 483 (397 1321 1426738069045319290314082764913543081) (P 57))

by ECMX on UBASIC

(41 875 (40427 946245326997772574146543757184074761849292544326417) (P 63))


By Igor Schein (May 18, 2000)

(82 721 (83 2707 9092028017882586883249420259 197775170341572674099379397847651) (P 49))
(98 713 (7 83791 470597 550663 853377613797838941337 2653678098273250784586165281) (P 55))

May 17, 2000.

By Igor Schein (May 15, 2000)

(98 226 (370147 124621460881 2449069798246732032396781) (P 58))

May 16, 2000.

By Tetsuya IZU (May 15, 2000)

by ecm (L1=400000)
(132 686 (19968955365030277 74995840320409986929759809917190730880877) (P 57))
(132 912 (594865596733 31539648677857 318852094684327036745018639941) (P 64))

by ecm (Izu, Ver B.01)
(150 501 (151 130320217467699514827002721583801) (P 74))
(150 524 (151 1051 3257486227600468960092213501901) (P 74))
(150 836 (84968091930241243316658134014201 159785522826078670403919636429451) (P 53))

by ppmpqs (Tomabechi, Ver2.6)
(132 588 (349801 8172120733129 8876606962158611416279006810458502681689769) (P 50))
(132 734 (397 533809 4127377 60111349 351277523576559572227748903359819870549) (P 54))

by snfs (Tomabechi, Ver1.1)
? (132 465 (248275770073 5141435478362537799347045851065631615453) (P 57))
(132 483 (397 1321 255914413123705246193948202236216893) (P 67))


By Masaki UKAI (May 14, 2000)

PPMPQS 2.6
(126 973 (4663 520958710693 319048850213734143867077593659128213678368213) (P 48))

GMP-ECM 4c
(150 927 (1201 127951 4591814889393460622957803171801) (P 80))


By Yasunobu Torii (May 14, 2000)

by SNFS

(108 972 (433 1297 7129 378859087657846032156344564395264867681) (P 60))
(108 980 (12815281 7283146766295661149373545827180783849605016496877) (P 52))

May 13, 2000.

By Tetsuya Kobayashi ("Hamayan") (May 12, 2000)

(57 994 (4447 5568739489 63975023911277394683477989827855284386588455763) (P 48))

May 07, 2000 Phi(37) series have been completely factored by Conrad Curry !!!

May 12, 2000. By Andy Steward (May 07, 2000) by ECMfile2 (Ubasic - KIDA/steward) (43 895 (31219 4596723479 4727969376162176869176733869382015361731) (P 71)) (47 895 (2633 267901 30702301997 54188265680728358356799332210679) (P 85)) (49 895 (282226751291235696648095821) (P 98)) (53 352 (25134003419105548000967) (P 111)) (53 895 (107 96387323928219680783221747) (P 126)) (61 888 (86743 2100719 3241047352681339583138012279) (P 139)) by PPMPQS (Tomabechi) (43 329 (947 4428829 399084463 29406089441678430172148093334461429) (P 54)) (43 888 (173 5591 2248910459278035001761529244207 20094106472935744035791392988205530147) (P 51)) By Andy Steward (May 10, 2000) by ECMfile2 (Ubasic - KIDA/steward) (43 826 (13159 18476413 49765901650753810105940357260771) (C 80)) (59 160 (1889 2243 93681853 18545679549638902892713639) (C 88)) by ECM & PPMPQS (43 789 (145513 526796404570699799033 95884965685685115564011095057 275091041257203834345172167006521) (P 35)) By Henrik Olsen (49 352 (965769556344371875680840005952217 542663723517112087844330756281417201) (P 39)) (49 353 (197 29989 2812218622150110474776369000327786430499957) (P 58)) By Warut Roonguthai (47 160 (1693 1600871621096770650686758714198131275430203) (P 56)) (49 153 (4999 400681677483399574901109041443886249503) (P 50)) By Conrad Curry (37 683 (223 567187174509075576527472061512263) (P 67)) (37 786 (6217 16796310374432969965576121573932797896717) (P 61)) (37 789 (223 7716139884301979310874225722903213001671445836581) (P 54)) (37 822 (4399079 580270223305041085389900816876880087691) (P 60)) (37 826 (149 698339 1849241168599192070388398911614259175797) (P 58)) (37 937 (45289 128983 966320045945679198336483490224250276783) (P 59))

May 11, 2000.

By Tetsuya IZU (May 09, 2000)

by ecm (L1=1000000)
(41 783 (83 600405023515625092800721539372023) (P 82))
(41 808 (83 119912450945571509586092551703939543) (P 80))
(132 546 (35829289 408731754553 112327197170594641274985810037669) (P 59))

by ecm (Izu, Ver B.01)
(150 759 (24643600477800348374822854190251) (P 84))
(150 778 (5851 7351 188589638851 8735561446592178907812001) (P 72))
(150 780 (601 28659901 5135417356341775701701551 50433076381147104031362314551) (P 53))
(150 888 (151 979023227505971560651 6887398628360689209761401) (P 70))
(150 940 (37201 26205301 2057771726882316323247434435401) (P 77))
(150 962 (151 149340634356451 10144199723255554350655201) (C 78))

by ppmpqs (Tomabechi, Ver2.6)
(132 406 (12137097072937 349297926149217613773407345711638441669) (P 53))
(150 962 (151 149340634356451 10144199723255554350655201 4418850270220374477978010051) (P 51))

by snfs (Tomabechi, Ver1.1)
(132 456 (248275770073 2214922042584348529263881524345432328047777) (P 53))
(132 482 (248572858677518512542617444548561741) (P 72))


By Masaki UKAI (May 9, 2000)

(82 440 (2707 3008612503485831313855591) (P 78))

(88 782 (89 2729 154001 25767861549195464522202673097) (P 77))

(100 807 (5 1301 25437435340462866719101) (P 91))

(110 260 (11 8581 429881 16343747928397027595772819461) (P 58))
(110 808 (85361 59694320291 51190053202344863597969531) (P 75))
(110 843 (11 3436778071 140988986469101 837688984618780528127158651) (P 66))

(150 194 (4895356920912597782728801) (P 67)) (already found)


By Tetsuya Kobayashi ("Hamayan") (May 8, 2000)

(92 108 (461 26497 2656985930320655694694888820233) (P 52))
(94 281 (47 941 44087 7632281765449365629763076100899 23176136759151538077276737313887) (P 42))
(94 374 (73039 173066978994513147590581) (P 91))
(94 411 (283 26000302361881246612823507) (P 93))
(94 508 (1129 11939 2104324563778790091739691 4583857716962620416319519661 387015365523305976857379351432719) (P 33))
(94 589 (6868598801 870610755479974890014569984877) (P 88))
(94 711 (849103 917408859742641329518797037) (P 99))

May 07, 2000.

By Igor Schein (May 05, 2000)

(98 237 (7 883 301083048904639 9685383060476017126394470132343653) (P 48))
(98 388 (485101 4821503 1091587009386161 58601950553483834318449697596199) (P 50))
(98 432 (52627 11381113969 235965145551661 100381165621856825427961) (P 59))
(98 561 (45103129 219882503 971922952086591149 26136065034542027049075757107148357268623) (P 42))
(98 708 (3237402720676939291 23783030741125555789 2661115837306861214827) (P 61))

May 03, 2000.

By Tetsuya IZU (May 02, 2000)

by ecm (Izu, Ver B.01)
(150 177 (9194551 57392755180139456584693951) (P 58))
(150 614 (1212655925994774593549186991939751) (P 79))
(150 700 (151 1051 11551 54725595367501 530991572708387148035721751) (C 65))
(150 761 (151 30999448364821894657413255809929951) (P 79))
(150 933 (12620085755551 3651135774617101 6419872732375442010654601) (P 66))

by ppmpqs (Tomabechi, Ver2.6)
(132 393 (3301 356451349 3766349291820458416481549469755963652291754921) (P 47))
(132 480 (34849 519275516764835004896267762308322807332388139175681) (P 52))
(150 700 (151 1051 11551 54725595367501 530991572708387148035721751 4952730618966601589042941318201) (P 34))

by snfs (Tomabechi, Ver1.1)
(132 437 (114276431247422169449618587356481736380871093322793) (P 56))
(132 438 (109297 10381953862766179630008806735387761) (P 67))


By Igor Schein (May 01, 2000)

(110 310 (11 407979916350556441 15366525586580055295191449647713601) (P 47))
(110 456 (165001 106975227315469940131 6277088124377795394858276039491) (P 51))
(110 831 (11 1871 4085621 28018871 44180951 4000938371 9828159010251897520216038161927005951) (P 45))
(110 862 (74360968771 27743544108828605668548631 121768245408677216197342313862407531) (P 47))
(150 810 (73560451 21255520669051 33524957873851 196901986441178592412712562591032375851) (P 44))
(86 208 (173 2237 9104165111 25060128237279532790948993) (P 57))
(86 590 (31649 1103757135259663 1855385953673221 4333304124653168669762383302601) (P 51))
(86 957 (173 106973681 342984363239867 7302959140448072047 179124185951256131952077 14789703545051333425686266537) (P 31))

May 02, 2000.

By Andy Steward (April 30, 2000)

by ECMfile2 (Ubasic - KIDA/steward)

(43 927 (947 31907 96149 24193693 140017251156890440682502046079536963) (P 70))

(47 198 (1787 17632396773991 824856258383671439118023286523) (P 60))
(47 370 (1223 118191984485547979759 554273306587558162533947122583519) (P 63))
(47 996 (51203608091 1218863951489263801492726315471) (P 98))

(49 889 (197 417089 1170023 4996727390868017402866382375322312133) (P 74))

(53 406 (107 743 89647349467337 2499796499018350569859) (C 96))

(61 889 (977 298412929478818969 199458211288986288244648018159) (P 128))

by PPMPQS (Tomabechi)

(43 198 (1110202553 545060871209898230171467525879426566572573) (P 46))
(43 486 (173 431 314490735350003437627 611351245016346855829779626926623911102851) (P 46))

by ECM and PPMPQS

(47 533 (283 283 1129 113647 164140451 14876815934291596394657375717 7488931463663364271949308907463427) (P 43))

(53 198 (743 1244759 111144735815375681 2582875532896869147109559 75802806555559653784730645557) (P 41))


By Henrik Olsen

(49 344 (7 7828645132567193929852782911953567269505621) (P 63))
(49 406 (1471 559790386053611989431518069444976939844674216869) (P 59))

May 01, 2000.

By Masaki UKAI (April 29, 2000)

(75 198 (151 1718551 4710162857429730894861901) (P 59))

(150 308 (151 1592401 846661046894217204010018380901 3563236101330407186689304956651) (P 31) (already factored)
(150 568 (151 46676251 81121896901 187112160940936638549337651) (P 64))
(150 747 (41013375579151 1740120316038451 6789893183829459207551999401) (P 59))
(150 780 (601 28659901 5135417356341775701701551) (C 81))


By Tetsuya Kobayashi ("Hamayan") (April 30, 2000)

(94 284 (1693 1787 546047 7990921109761 459465421781848986223631389) (P 62))
(94 298 (2539 42429047163393129127243 1162583022011935075466670048841) (P 58))
(94 812 (562403 32164733 725553014752839804855421) (C 97))
(94 829 (1223 2256847 1133051060750019377825238797827) (P 95))
(94 838 (6299 7315976686399 86079396017775765020723789) (P 92))
(94 859 (388734638224057 340459243092442205707579) (C 97))
(94 867 (2351824791256239291577394188069) (C 105))
(94 879 (283 1693 18143 1765353371 205375135297956460290772999220609) (P 84))
(94 925 (283 36943 1486995871 105877438151 389047456621 30968979482297426746643 930540723310754789694187455600876647) (P 40))
(94 945 (659 1129 1693 4231 100393 696072226056467323103 27375620880699541464127) (P 76))
(94 997 (4113616089917715011177 19309125003496007037727928431) (C 89))

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