old log ('01/09..12)

December 31, 2001

By Alexander Kruppa (December 31, 2001),

(86 493 (1291 27779 466090847 9600852192045640287161801264975043300103) (P 57))
(86 548 (40507 78691 36627917 133219438306167256621744748365069381512821859971) (P 51))
(86 562 (1314459863 2431568387 41995751980942705287346853946242293) (P 63))
(86 672 (15137 363437 633002676641 25794483420555773756702958451132964737) (P 60))
(86 678 (173 4903 3084391 1897693631 1629796470837890588983593520415122953776232127) (P 53))
(86 909 (431 3932166742492605765886627 243028158753116595077555250303685701271) (P 59))
(86 912 (14621 58997 1872009537548627413 2710026362623343737210022073312863627521) (P 58))

He reserved,
(86 598 (199791589 15559609427) (C 99))
(86 608 (173 1549 1830253 8367371) (C 99))
(86 627 (77573 1751993 68469847) (C 99))
(86 778 (124342322643209879139739) (C 99))
(86 815 (173291 47965469 92559932081) (C 99))
(86 938 (173 2753 1064495011940373064999) (C 99))
(49 552 (197 4045147 42210071) (C 99))
Please check "These numbers are under computing" page.

December 29, 2001

By Sean A. Irvine (December 28, 2001),

(132 681 (397 177043021 3154250903317087721685925986756493429501) (P 63))


By Katsuyuki Okeya (December 28, 2001)

by GMP-ECM 4c
(61 864 (94258067909 3546332814331230653 478335680228957810567231137) (P 120))
(61 877 (8053 714239489617770909810583 2168877419632489099062673) (C 125))
(61 904 (14153 83810219 666300145665922092979 55699774184552033356601777) (P 119))
(61 918 (66643980411296783269434631) (P 152))
(61 930 (733 4271 5857 1849492972487 2271911232719 25125946940148148222656986459710129) (P 109))
(61 932 (137251 218479268374971083 89566822086789768711710116487) (P 127))
(61 935 (50380372407181 1164033875525742539273573363) (P 138))
(61 945 (367 8053 1043467 8451551 931305612931 3379709159376165385584337 630274204240867795797707635759381) (P 90))
(61 950 (1709 12323 25675511 24886689627769 91424663074837128257785093) (C 125))
(61 951 (733 6101 47581 53681 319763 9083110655619311665439 50835253113925041659443331) (P 110))
(61 954 (367 628252100616079 2396246918385099071630297818973) (C 132))
(61 958 (1731118264845837243125287) (C 155))
(61 962 (1000459663979221 59293642210960517 17104918318075676197 113405877198687714864875231) (C 102))
(61 965 (20810473034614142412363916231) (P 151))
(61 968 (6833 9985208717495040436748863) (P 151))
(61 978 (137983 10896566828789267 4781462672774076847581149480407) (C 128))

(99 119 (1783 151471 2845731549145979331015753818233) (P 86))
(99 266 (397 8334396800697729077296597) (C 118))
(99 272 (1783 4512223 1093742497 1398681356975018472511 154468024708128677804495161) (C 80))
(99 316 (991 300490543 3104158861 41922370061947 802513308194577435061 354743688926334959701792453) (P 68))
(99 375 (153649 223719734798058218377805929) (P 123))
(99 386 (13685476087145118539284051051) (P 128))
(99 489 (199 397 171469 19573466948939165252405581) (C 126))
(99 573 (397 1783 2179 26852503642553662047354997 8651053469228103241327341631) (C 103))
(99 631 (3700518356256175306357957 3913680136455936115664077) (C 119))
(99 652 (6337 8012706598847576565066007) (C 141))
(99 665 (17623 63062839621 179663011434612477700170859) (P 129))
(99 680 (594397 52398269267226639534910441 181102792989479230091917333) (C 113))
(99 735 (1783 109180963 453070052821 2949085342369 59995671786086455968121) (C 114))
(99 776 (11287 7214248964454366187 96001057949247502773016681) (C 125))
(99 821 (14502400536695027446006903 24538920990020733029391703) (C 125))
(99 857 (34057 8891777863 574306121364325918864276663) (C 135))
(99 875 (199 397 80191 166641751 6723527446794572294731489) (C 134))
(99 890 (199 26731 1498493107 162252509451070989148970671153) (P 132))
(99 910 (258583838411689931426961511) (P 152))
(99 914 (9109 99004951 9362497167754163698519 1065402782225205380120516221) (P 117))
(99 973 (199 246907 42641794748740528988962129) (C 146))
(99 975 (2971 31770091 705562111 4475755747 8029154875897 75638658646981 46244312461770828953234600629) (P 95))

by ppsiqs Ver.1.1 (by Mr. Tomabechi)
(99 272 (1783 4512223 1093742497 1398681356975018472511 154468024708128677804495161 9029938786101125236276126723) (P 52))

(122 141 (367 4372190195467 661214869573464741317 2081146393420284557316632672761) (P 63))

(124 134 (1489 3764625127069 71165867695485224797 19458050681215212608514475003134054049) (P 55))
(124 285 (573450636161101 100821579065135161813 325732095893510176777 173330288783315385116067561582478649) (P 57))

by snfs (by Prof. Kida)
(122 124 (1400426411 3246528907925021 6303273146916138754604879321759) (P 71))
(122 136 (128467 3620926053438727351961 233777857941683726626929060833678316420111350479031) (P 51))

He reserved,
(61 120 (367 237805817 28788216144310339) (C 98))
(61 146 (21107 9066349847 120006745213) (C 105))
(61 147 (293123133959 2256614163226391) (C 104))
(61 150 (2856305608661228183) (C 113))
(61 152 (3919007) (C 125))
(61 153 (1709 4027) (C 125))
(122 142 (367 977) (C 124))
(122 145 (733 23819978207 1305398001935851) (C 102))
(122 146 (34039 764530723211551398331043) (C 102))
(122 147 (367 733 51833198380333) (C 111))
(122 148 (8827433) (C 124))
(122 150 (13177 316469 150909567191383181934832753) (C 95))
(122 152 (46244813213) (C 121))
(77 279 (463 2450889226171 7012536577784719213 285968652166134778303) (C 93))
(77 495 (41365680203 1595616428869 341668200114864372443 31817401139185461204746881) (C 93))
(93 164 (3982750561747263037 3628586567989654697347) (C 93))


By Joe Leherbauer (December 26, 2001),

(94 923 (1015848215126050990820843212947187447645585349 2356564360138420342696949649367602824808681343) (P 47))
(94 942 (5418822730128991650435721269683051160723952991) (P 92))
(94 944 (2624200601351036542378067412819980043248639018939) (P 89))

He reserved,
(132 805 (1) (C 117))
(132 825 (1) (C 117))
(132 918 (1) (C 119))
(132 987 (2113) (C 117))

Please check "These numbers are under computing" page.

December 27, 2001

Big news !!!

Mr. Tomabechi's "Mint" (Multi precision integer library) is now available.
It includes the source files of PPSIQS and PPMPQS.
You can download those from index page.


By Sinkiti Sibata (December 26, 2001),

by NFSX Ver 1.8
(59 136 (12995341 2713151042920185055810788371256408146382936428027) (P 69))

December 26, 2001

By Sinkiti Sibata (December 24, 2001),

by PPSIQS Ver 1.1
(81 200 (487 13872037969 867586041991 4394711988234101118022449891300625854967689727) (P 54))

by SNFS Ver1.6
(81 140 (1459 1226179 1145386428543892637268974980931423075496851286109) (P 59)


By Tetsuya Kobayashi (December 24, 2001),

by NFSX 1.8
(92 514 (372877 2197160223786451324308881121820212780805042969) (P 69))

by mpqs4linux 0.61
(138 295 (139 15131200717 4697950014096495927949767471428246966970127) (P 54))
(138 414 (145177 11027449332769 4789181741951157028793281262432499134017) (P 58))
(138 656 (4003 1191548229185538818624509 81905574419566135171604075982184251615613) (P 56))
(138 862 (1192565330717512959546368136849361 8436366743845584821131397384694302844665893) (P 54))

by GMP-ECM 4c
(65 589 (131 911 1685711 11589349370033062950563671) (P 97))
(65 547 (7001813131 6141795202089688745873381971) (P 94))
(65 869 (61164853189831 162271178764125706331151811) (C 102))

(105 206 (1055251 21940329067437213430976581) (C 80))

(112 636 (75377 152775345015217 473586816622193 65577352616801586422578537297) (P 73))
(112 931 (113 18517849697019697361 381339881868451384636577) (C 98))
(112 693 (808081 97045451155928567047998481) (P 105))

(130 285 (131 103411189181 149657575152791151150698920291) (P 76))

(140 432 (758783312752332252841 299390872819849171049080535641 215852823596245324322984710601161) (P 44))
(140 596 (11324461 5799699892088162341 1916928236197112477709054161) (P 81))
(140 704 (136501 1685663253001672160949041) (C 108))
(140 358 (2521 371141 11307941120391459384821 20063020096906756250916181 1514673656345298783001269178501) (P 37))

(144 333 (142014931197409 68655888985836439670847697) (P 82))
(144 962 (2017 7057 184780081 66832003732791856380505778881) (P 99))

(156 632 (1249 138851747728128593771620957) (C 106))

(168 195 (5180174696978326921 3398879020147843332760208137 6255216438648962409086465473) (P 36))

(180 378 (7561 112037315245286152151919115918981) (C 88))
(180 515 (181 4861 3154298946301547599981141 562084822673076878343441541) (P 73))
(180 764 (44101 2716135561 37101929842620901 78058400329986160508739181 3890815806880729206956857041901) (P 52))

He resereved,
(98 380 (491 11467 1721567) (C 96))
(98 398 (7 197 5014643651543) (C 94))
(98 416 (197 1373 896875813) (C 96))
(98 474 (491 12463543 996768781) (C 94))
(98 531 (7 197 7057 53411 83027071) (C 95))
(98 592 (12126777251 285763205743) (C 95))
(98 612 (7655467 3552094132061357) (C 95))
(98 690 (55814722256047804639745317) (C 94))
(98 723 (883 33948270585600807493429) (C 95))
(98 737 (197 1290563 189059710720012343) (C 95))
(98 747 (130678297 140286042350553751) (C 96))
(98 779 (491 2843 2703008926042541072153) (C 94))
(98 790 (7 818602919 1709669591422031471) (C 94))
(98 912 (37376123 2301917798441375835113) (C 96))
(98 987 (2329966515221274205818002827913) (C 96))

(92 535 (7177) (C 117))

(94 886 (91369 375835633401801041733681152177528083) (C 96))
Please check "These numbers are under computing" page.


By Sean A. Irvine (December 24, 2001),

(132 953 (34030727248274857 62725257805113894188493522662419418628061803833041) (P 53))

December 23, 2001

By Masaki Ukai (December 22, 2001),

C126 by Tomabechi's SNFS 1.6,
(98 988 (455715044813001202901976052335420947) (P 91))
Athlon 1GHz + 256MB, [cputime] 385:49:55:43


By Alexander Kruppa (December 21, 2001),

by Franke's mpqs4linux 0.61.

(86 377 (173 431 1291 19867 3608166506626339902782015361713693) (P 63))
(86 618 (947 14858616892320614713 638917837821751196528223412010099704538550403) (P 51))
(86 744 (1291 5849 38873 2071397 37480951 1937828330599672221699882753623737307040359) (P 53))
(86 866 (3527 27830047168324215875808679 76223664730149348786007705473465911) (P 60))
(86 892 (548423 2589289 44253456291027883 332676780070973631135844024016339985323568101) (P 51))

He resereved,
(86 493 (1291 27779 466090847) (C 97))
(86 562 (1314459863 2431568387) (C 97))
(86 548 (40507 78691 36627917) (C 98))
(86 672 (15137 363437 633002676641) (C 98))
(86 678 (173 4903 3084391 1897693631) (C 98))
(86 909 (431 3932166742492605765886627) (C 98))
(86 912 (14621 58997 1872009537548627413) (C 98))


By Joe Leherbauer (December 20, 2001),

SNFS
(47 953 (26733880027 680715760094684300009 22372897524462032259391913834160763938379806042067) (P 57))
(132 973 (8124558677350786684939276400297089635265252309) (P 74))
(132 982 (2496367673842427720424036801641077994054294079503628097) (P 66))


By Takahiro Nohara (December 20, 2001),

(59 268 (261868670724541359491 34981232014951334496591353711 6008516961032688846593924269316657) (P 59))
(59 488 (16965070768651 4138863847331741705233051 46868914939296071835845016883 1551485058759142714533254382713417464417417) (P 48))
(59 726 (37171 647666606844908837 307792366840033428609002750881) (C 115))


By Tetsuya Kobayashi (December 19, 2001),

by NFSX 1.8
(92 461 (972533 13003741 25073108094742506108294325876575396082537801) (P 61))

by mpqs4linux 0.61
(138 194 (691 588571 16855268074195304341274200247360253674278669) (P 49))
(138 424 (829 7591 580843 121733251 11457274981245191728614559382264097606265441) (P 52))
(138 483 (277 102673 241513167387761473 5610512870882408573642343326610936871) (P 57))
(138 590 (277 691 967 1498543 19686006914651809 11369425914073334118909348002309975257708027) (P 49))
(138 671 (139 829 7221084549079 59798055213289 15387640567669562161577271562654113758900263) (P 50))
(138 706 (5521 1110642965617 105674524937283847 690876852636078132239159228665667779) (P 57))
(138 952 (277 967 54946106737777 556496853905742261901 1210515099633578711286961526181113450621071) (P 50))

He reserved,
(92 514 (372877) (C 114))

(138 295 (139 15131200717) (C 97))
(138 414 (145177 11027449332769) (C 97))
(138 656 (4003 1191548229185538818624509) (C 97))
(138 862 (1192565330717512959546368136849361) (C 97))

Please check "These numbers are under computing" page.

December 19, 2001

By Tomoya Adachi (December 17, 2001),

(81 376 (3 15391 961880768659 564216370799077 6767487312455539 167542427466204260138359702876428892183) (P 54))

He is a Japanese high school student.
He has done this factorization with his friend using multiple MPQS.


By Alexander Kruppa (December 17, 2001),

(86 715 (147815516332086102502147837 285349732621422921334409321690522788789) (P 56))
(86 802 (9547 66218023 376121082100982483 24265197082992757393095853612041352634501) (P 53))
(86 993 (1953233 12032089 1049835541 13243827313 132755288811425354035115535526271869) (P 59))
(86 998 (2237 863315506446836463388324753957 336308135436783369335543463284743) (P 61))

He resereved,
(86 377 (173 431 1291 19867) (C 96))
(86 618 (947 14858616892320614713) (C 96))
(86 744 (1291 5849 38873 2071397 37480951) (C 96))
(86 866 (3527 27830047168324215875808679) (C 95))
(86 892 (548423 2589289 44253456291027883) (C 96))

Please check "These numbers are under computing" page.

December 17, 2001

News !

Linux version of Mr. Tomabechi's PPSIQS (ver. 1.1)
and PPMPQS (ver. 2.8) have been launched.


By Tetsuya Kobayashi (December 16, 2001),

by NFSX 1.8
(92 496 (4049 12530222493772345046435341723396998120389557) (P 72))
(92 505 (5153 34501 266121576905787280976694090923674476921406877) (P 67))

by mpqs4linux 0.61
(138 247 (139 552001 710839 47884187436368958881576936841039044940133) (P 51))

by GMP-ECM 4c
(138 376 (139 55234883917 125690047965930084153136435844248159) (P 66))
(138 631 (646410891704228454834593382031) (P 94))
(138 762 (3037 153457 94300783 646852023900467389 25234527017056195747918553705641) (P 61))

(94 528 (283 941 877186381 113267749429503283330148981926352867027) (P 73))

(240 165 (19509757408226641 978799196784422075125981921) (P 99))
(240 168 (13681 45891177725503921 917565557298879613912321) (P 98))
(240 182 (21024114538073297661613921) (C 120))
(240 191 (2960161 35343745477607761 2037506683007913121 102942957148927454964001) (C 82))
(240 199 (241 3953308645382852380608923281) (C 118))
(240 375 (10076161 133868334201615102853559041) (P 132))
(240 426 (241 45806241601 40525610618287996222321) (C 133))
(240 449 (1201 448557487201 2186260450344326235834961 1750879643756331842625377947201) (C 101))
(240 450 (19681 409010463089434081 18504000902273550823869601) (C 123))
(240 478 (138106321 18259697761 9071005038241 19848252425648549244770814299281) (P 109))
(240 521 (241 19681 26641 172321 196704632068502881 1184938444506684239361361441) (C 114))
(240 531 (242033355950401 348654153435401050908481) (C 137))
(240 666 (10380914512451860122816001 460904864214345843325245601) (C 130))
(240 691 (73681 20647201 305812315214915404321 1635114510113471030780641) (C 125))
(240 710 (241 24481 255361 273428360329977959280143521) (P 144))
(240 721 (7681 13892585761 14728493041 272368401975949189201 17848475189781725455441 82937501922154504830481) (P 94))
(240 831 (1148508056859805782249705270072241) (C 154))
(240 923 (140401 464275056481 17469384913371744152812801) (C 148))

He reserved,
(92 461 (972533 13003741) (C 105))
(138 194 (691 588571) (C 93))
(138 424 (829 7591 580843 121733251) (C 95))
(138 483 (277 102673 241513167387761473) (C 94))
(138 590 (277 691 967 1498543 19686006914651809) (C 92))
(138 671 (139 829 7221084549079 59798055213289) (C 93))
(138 706 (5521 1110642965617 105674524937283847) (C 93))
(138 952 (277 967 54946106737777 556496853905742261901) (C 92))

Please check "These numbers are under computing" page.


By Takahiro Nohara (December 16, 2001),

(59 146 (134639 16113681161 168296205862287476401 61978828974764161888556705068362181) (P 56))
(59 230 (372409 52831199423 2466086609065873753752435511839625643) (P 85))
(59 364 (2459711 160597529 11629308066421 84270691751285794643941139922689 35206764371073365890766439286050192746984161) (P 46))
(59 380 (35401 2675297 66369101 944481710693 19426772844769 55853043174994543731287999) (P 80))
(59 438 (394618326287087363 723769097517751871 5899911710038063664740333543 67638688168891683180237448306093) (P 59))
(59 565 (1063 1889 112864008407243 25165112564347114539975271011049) (C 108))
(59 602 (7524524814629 49951319796794476064567068871) (C 120))
(59 692 (1063 13807 1145182682616133879 417934256423567036799092741143) (P 110))
(59 770 (96997 47005619435161762163718123773) (P 134))
(59 894 (479806291 7100794163622326311357 11014405290000719472792937163107) (C 110))
(59 923 (118255519179569 496782101576298524710629048697) (C 129))
(59 951 (91673550744229511484989205254138971) (C 138))

December 16, 2001

By Masaki Ukai (December 15, 2001),

GMP-ECM 4c
(98 465 (81148019 480307703 224114489436620151884375687990899) (P 64))
SNFS 1.6 + PPSIQS
(98 514 (4463890277376079327685992899557 197680296265217631185069551570634027) (P 48))


By Steven Whitaker (December 14, 2001),

(104 224 (2393 1306576096489 253554775322007391685448654362438803636153) (P 56))
(104 506 (122201 10153403417 2285703674951166134070610530041) (P 85))
(104 522 (19219097 7255362046861111752294297156209) (P 93))

He is currently using PPSIQS on cyc(104 161) C99.

And Japanese high school students, Tomoya Adachi and his friend, are now 
trying (81 376) C92 with PPMPX (programmed by Prof. Kida) and 
(104 309) C104 with SNFS (by Mr. Tomabechi).

Please check "These numbers are under computing" page.

December 14, 2001

By Alexander Kruppa (December 13, 2001),

with mpqs4linux-0.61 by Jens Franke,
(86 294 (173 17945884279 6356118024674562177283793829403163911) (P 55))
(86 475 (947 27779 166669 88313917 503090841839417035163687194989100378864344127) (P 48))
(86 730 (43 173 1291 2447141869 1619877658781 281588150535593325230791476291298531180789) (P 51))
(86 969 (431 1033 1291 6428713344079543023820619 133898046772549917935610100351877663573667457) (P 48))
(86 995 (173 431 5419 9723377753 10910252174313641 7394970808232785967555665222027333) (P 58))

Please check "These numbers are under computing" page.
His new reserved numbers:
(86 715 (147815516332086102502147837) (C 94))
(86 802 (9547 66218023 376121082100982483) (C 93))
(86 993 (1953233 12032089 1049835541 13243827313) (C 94))
(86 998 (2237 863315506446836463388324753957) (C 93))


By Sinkiti Sibata (December 13, 2001),

by GMP-ECM4c
(67 155 (3083 155104355425697 97349249759056990321951) (C 100))

by PPSIQS Ver 1.1
(81 413 (163 2593 1216459 28694737 11133157567140667 1568406753386571553591325221 12629418222929227479584315739793) (P 48))

December 13, 2001

By Sinkiti Sibata (December 09, 2001),

by GMP-Ecm4c
(81 413 (163 2593 1216459 28694737 11133157567140667 1568406753386571553591325221) (C 79))

by SNFS (programmed by Prof. Kida)
(59 124 (4603 436918800012833 21574809784313959848280804618727604306118067182187) (P 54))


By Takahiro Nohara (December 09, 2001),

(59 198 (9677 5065623661718078945595481 3291132271630825051242454437233) (P 75))
(59 265 (1181 271637 28915620638913743715751 4023597535990508051407144960033 2810717440730003421518904987124351) (P 46))
(59 319 (572475742829 3366994607858618741995959573973567) (C 100))
(59 354 (2833 317877779941856099537208596899297) (P 112))
(59 497 (28821111427 1253041348051 593749811937399683 2240294491161218935889905757607106999) (P 80))
(59 532 (59 4603 572419 1954910124691 454494295915019 37005579850638529419889 34287549302350200299017080553) (P 69))
(59 583 (1889 1889 6373 23414623 184057248916427 21200163125051653597 206187915197200503864972768881 1426384752270493684038804376604748979) (P 44))
(59 646 (1063 40246400397872051 315816295667144611998157 118277238647942094894606235392437) (P 88))
(59 651 (1063 211339 5337818737 911609244711941 8970561714780234811631649237949) (P 100))
(59 674 (4013 39243733 5065737621299940897628527073) (C 126))
(59 699 (827 3236977 1774908211 862221414833431553586329227) (P 120))
(59 716 (827 14859980482915817 54232693159409956016159337851 16944172659575251583667376374829) (P 87))
(59 742 (104429293 41677524481 182438438091277763 150922759398404052824348590729) (C 102))
(59 827 (59 3541 66933023 55238717615378963 101385095988644233 54745095923089396230998368589) (P 94))

December 10, 2001

Announcement !

To avoid duplication of computation, I prepared the page 
"These numbers are under computing" (index page).
This is for mainly phi(n)=36, 40, 42, 44, 46. Please check it before you start.


By Tetsuya Kobayashi (December 09, 2001),

(92 459 (1289 206909 751758075784452172337189528707415385273197) (P 67))

(138 437 (416623 26001961 890660286311140749065952788023) (P 74))
(138 655 (1180127287 1608106255468429 12051889923443090412198415627843 7130832244675126433846097165614317) (P 35))
(138 887 (139 2029691060553017254023449548861) (P 98))

(94 886 (91369 375835633401801041733681152177528083) (C 96))

(99 350 (199 2377 345907 160825015901881 3414964615053594781275109) (C 103))
(99 357 (199 397 799723 478402651 1187545789 33741096249696729398830711) (C 100))
(99 374 (397 5743 767647 6619345902577 5488212983721843616247557) (C 105))
(99 502 (199 397 1783 8349893373952809598682034828667) (C 123))
(99 539 (192853 74613218464020853 535659739522497651417049 12364632433135603979056117) (P 93))
(99 596 (340957 21064578172463034811009) (P 139))
(99 647 (199 2063557 13497578086706330714755629841) (C 132))
(99 684 (72271 206885392957 2153904734642896519424095231) (P 127))
(99 742 (199 93624221459278089361 10150888412575779732469 5714346358204189980601141) (P 104))
(99 856 (7723 3855203321509 35513081048147607433 24726628563131719375087861) (P 115))
(99 863 (397 6337 55243 295497379 551926616868199 1860529797348554991865768057) (C 115))


By Sinkiti Sibata 

(December 08, 2001),
by GMP-Ecm4c
(81 422 (163 35803 32920669 161825753280573388908479016883) (P 99))
(81 487 (3 163 59779 933931 3527314352150897117336595778009) (C 102))
by SNFS Ver 1.6 (by Mr. S. Tomabechi)
(81 129 (1855628383429 2683580004451309984239717316884924263760931) (P 60))

(December 05, 2001),
by SNFS Ver 1.6 (by Mr. S. Tomabechi)
(81 165 (4875067 75565764056323 3791720249534444367631958556605163902676803717359) (P 51))

(December 04, 2001),
by GMP-ECM4c
(81 670 (3 729649 29159257264183 262785658718058408164569807) (P 107))
by SNFS (programmed by Prof. Kida)
(59 123 (1889 7324274414978104270029395775681425919738613) (P 76))

December 04, 2001

Announcement.
From December 05 to 08, I will visit to Seoul, Korea as a business trip.
Next update will be on December 08.


By Masaki Ukai (December 03, 2001),

GMP-ECM4c
(86 847 (4130098711243633 32275031705823436088639270801801) (P 76))
SNFS 1.5
(98 381 (18719 9774476260534078979141350240769037689) (P 68))


By Alexander Kruppa (December 02, 2001),

(86 836 (173 15291926094381833880854463401899 50575816473172388328957322485897361) (P 55))
(49 770 (3823 1181293 1114143432176083 816963955960768636291405032902796188334401) (P 55))


By Katsuyuki Okeya (December 02, 2001)

by GMP-ECM 4c
(93 150 (6239297412742262204669622859) (C 103))
(93 184 (1861 4093 825935416420074502620660960319) (C 100))
(93 330 (5213023 4282141291 28524840978884322949 301351517907547100593035168043) (P 86))
(93 342 (19717 1056756492666247 50160629653575391 5777718022435912918122899524939) (C 86))
(93 493 (7469118240333267368797 1095699922379847767815477 2785890090190417120980407119) (C 89))
(93 600 (1132342913585550683596033) (P 143))
(93 742 (373 99299815000751435111080747) (P 144))
(93 794 (6883 18371449115359 4482180853601534263535983) (C 133))
(93 808 (18343321 38677957 23303263818055606282433203) (P 135))
(93 835 (31922554036109698375543 325875190357529813137999 117183271358661263970110383) (P 104))
(93 898 (47116170102587638816315873) (C 152))

(99 129 (397 15009334158905422819777999) (P 99))
(99 188 (225473805413207185279323186397) (P 108))
(99 190 (991 10575912799 78257159443 1356182360155633674775123) (P 89))
(99 248 (199 4661119 15868513 3147738827896081 4972619519477553439 150945074496652972087605241) (P 68))
(99 330 (199 1135276561 2347092001 69302613769170351676812883) (C 105))
(99 354 (199 3711907 6535189 404416662477736599576562580443) (C 108))
(99 355 (397 7129 79201 10706722506802108609848037) (C 117))
(99 392 (199 4231063 79339472640040248233929 66967460700180741463367052361) (P 95))
(99 520 (199 1783 3169 376003 634218607058138293422529 5816768836968473426263189) (C 100))
(99 573 (397 1783 2179 26852503642553662047354997) (C 131))
(99 574 (991 116433052378508551132186741) (C 137))
(99 579 (582319 104419319270054483944657) (P 137))
(99 587 (2377 15043665187 1483826560129 899737489054315562963269016467) (C 111))
(99 663 (199 397 991 118603 880903 167025743408128367775673) (P 128))
(99 668 (169093 2015188561 351734792283073 201083691790801351613863) (C 118))
(99 692 (397 75917377453701037960333 53972557930963731289877461) (C 120))
(99 707 (397 10710201478719718184684707 19625282506050609977159869) (C 119))
(99 714 (2116863739863200652391 102230072597227344740634721663) (P 121))
(99 720 (991 1641371695921 672304235666791514114791) (C 133))
(99 743 (130681 146642824563648672187963 42273542368567362561561469) (C 119))
(99 752 (199 397 458173 5548595383 10210025431 40519554368037467111929) (C 120))
(99 807 (4159 10099 1537049566292848161916231) (C 143))
(99 899 (397 1783 68678420779 1148670997651 938524923737281 3767495975853052165273 3904024253204674668763) (P 91))
(99 909 (6350386993039 14559740708951184424129 7041016191586849670740609) (C 118))
(99 919 (91873 1435501 74570813461 45059090465425137918697) (C 134))
(99 941 (199 38260892929969781677 1096344286806584404378549) (C 133))
(99 942 (124147 362968528112118812190781) (C 150))
(99 962 (397 2179 11754309646501399749690073) (C 148))

by ppsiqs Ver.1.1 (by Mr. Tomabechi)
(77 155 (7660980855693065209 641112665675662631683 55524803720535672535763777797 9891933545462790631962494202169) (P 32))

(93 152 (735959472961 10028263729657 193828131285799 114989493930184157886780091 388109059833267575726977600754917) (P 34))
(93 303 (10870399 145898773 1175565195580319567751349 9784564246070705928080989 2787921731247321999322422983521) (P 55))
(93 342 (19717 1056756492666247 50160629653575391 5777718022435912918122899524939 142625616472291951481852209028662618315891) (P 45))
(93 407 (62683 1205467 88323217 126112667299 11487324531124312638121 23514671025373772179543 2577802356933799678558083795509727361) (P 46))
(93 493 (7469118240333267368797 1095699922379847767815477 2785890090190417120980407119 567439840014005121610833516164626502509) (P 50))

(99 322 (177557143303 651901220389 1207832906438703073 191240466289297725367 132261218965324878372750619415989) (P 57))
(99 507 (47170729 153916165664809021 36046160720291212129 221407330576461877045137853 934624153080745972138276335541 2113417111931713378563954143293) (P 32))


By Takahiro Nohara (December 02, 2001),

(59 135 (745209649 29251659118606174521746050267) (P 87))
(59 267 (21713 475777 507846631993943550863696132231) (P 102))
(59 331 (93811 82593791421896143910638082501) (C 113))
(59 417 (827 137023253 956662699 67442399085517 137367284810707899846641739149 27363733960730013417703176643335258828011) (P 49))
(59 424 (709 22303 204613 4631594709899061120561453727) (C 113))
(59 458 (827 1945242442321237090464880012983553) (P 119))
(59 711 (10739 12442961970209 6366791739580516056259079081 10875448507039888614895079593) (P 93))
(59 735 (35590057616401046771291461843) (C 138))
(59 752 (1063 7615249 1249610338043 8508633731052958119114821 1485792553303800378178342337) (P 93))
(59 764 (4853139241831706231991708973) (C 140))
(59 851 (121209630132788374078603883622938359) (C 135))
(59 968 (7937598664508984833 774299408439118259963255794828103) (C 122))


By Tetsuya Kobayashi (December 02, 2001),

(92 446 (1013 25224739769 57349576121920615198283678692765352754062881881329) (P 54))

(138 945 (139 2347 180314252952458670211 58389428909717674544094734116963) (P 74))

(118 154 (6373 307542929 86831570770543574703841) (P 92))
(118 252 (3337549242692541658238785725499) (C 109))
(118 253 (1106208882033237206757521) (P 116))
(118 259 (1889 244261 349871 12515822423636557655592185501851) (P 95))
(118 358 (6943816604269 312314697529236464441147) (C 112))
(118 362 (6491 33303657340499479 581078511994597885790832553) (C 102))
(118 415 (1805873 1075074740903 37073795563084470799667) (C 111))
(118 423 (1418243 800773629973792657777039) (C 123))
(118 450 (679681 506185827961228755728321) (C 125))
(118 543 (11393609 252062639737605752273 5803585121314070503680317) (P 107))
(118 548 (1078757 46940506673 1901988939571500011 2403561715569579281978221) (P 100))
(118 713 (12082139 3105564861863641 25057098887794127626757897) (C 118))
(118 714 (4957 27520760701305248005981145323) (P 134))
(118 720 (2185574119334647100678161) (C 142))
(118 737 (709 1530343 28931477 51077080525644314205887) (P 128))
(118 857 (4957 6373 20533 158126101830561971159 409483422721940685560563123) (P 112))
(118 927 (11801 78180162493902941 502748930005506361500399103) (C 125))
(118 938 (827 137353 3829350397 968951311339582998527563) (C 131))
(118 954 (709 10267 372764485521378012887081867 2788892040547199452109933387) (C 112))
(118 968 (843408659 13320186331 147945320334521 656760990263968731716723) (C 117))
(118 969 (35881576988772963873535277) (P 148))

(154 215 (89783 195865210077401246293659133) (C 109))
(154 333 (36312261873889 372929314698449726657749) (P 115))
(154 362 (609032080556019583 2147780253929714241106501) (C 112))
(154 440 (2311 23579711 33261228073669707370799) (C 126))
(154 543 (463 317992206182013332201 78178363522485501975527213) (C 116))
(154 559 (463 142297 7813230268403322121740472504096885741) (C 121))
(154 634 (1883064198401 1240300743261215227091809) (C 132))
(154 642 (45286781 16869059874879995399 36477681772686192089437) (C 120))
(154 697 (3121906369439089 622702743369457417233491) (C 132))
(154 776 (1369572596877014081861 1378536891895680129229 17254223835366131316006613) (C 106))
(154 804 (744828897583 996876514900205171 115357671097057711751969) (C 122))
(154 889 (2927 19867 4818918520879 982865604656150143391 3957183502403636910168149) (C 111))

(186 172 (18973 2230699 113476369 3718302487183 29128339182837380028061) (P 81))
(186 210 (2824411 32811267491487223 311916925021749907026007) (C 93))
(186 436 (373 636505762250659027 8353661493474336594434023) (C 114))
(186 464 (60954247 3309553243 4575602791 241866985492041731987239) (C 110))
(186 466 (4651 5581 98953 311995008587409428199738045396607) (P 116))
(186 577 (1861 118669 1955977 37084469646467955163) (C 132))
(186 763 (1117 1489 49477 1438659967 4634770321 6068262648743615421521593) (C 119))
(186 765 (14346484594263463 491414758325240729483359) (C 134))
(186 798 (800124981247 69007727256909973380691) (P 140))
(186 836 (373 56359 313969 23675011 844985763619 10746512331081780158768681733679) (C 113))
(186 906 (367909 59325455466847363 4559879081095141961172187) (C 131))
(186 939 (19717 1905199 27554664031 210888299379112606867866889897) (C 129))

(198 172 (75900748859020718878411 168129251315214088045411) (P 89))
(198 210 (26883642853 178837081649411131 170754646180077793930380223699) (P 83))
(198 217 (32869 2287915758811 126355567070006395506419563) (P 98))
(198 262 (2729848704709639088031460150019149) (C 112))
(198 429 (22392957418042520925088994071) (C 130))
(198 438 (501396787 1381590739 12147262202331037 5909473549501366687327) (C 103))
(198 455 (291368672392580418043) (C 140))
(198 468 (1331559109 14835659426359005517669 45418604763788892743094354709) (P 101))
(198 580 (2468056735302841 128689666888366903188049093 8485802262069947881999737157) (P 97))
(198 658 (2179 2377 19009 3809719 214869997 5059806835745880861589 6845161835927962706791897) (C 97))
(198 710 (199 10891 52382881 55948069 191139142923037 20900423432390041 5593480497892576027927 36275267611901426509369) (P 75))
(198 741 (77419 300683989 492882988357 688363737355207 2216407824219947051236578157) (P 105))
(198 749 (199 83833456950570761249773519) (C 145))
(198 799 (199 3169 34057 12449449 316788800713602135337) (P 137))
(198 884 (991 1783 2377 8713 264331 15460846158086888816261863) (C 133))
(198 900 (3169 1158301 131284103773650496561412389) (C 142))
(198 946 (199 167113 1467068952691 901484571222144321707593 7409462489985319903164606967) (C 108))
(198 965 (155233285175038951 1547879662534023523 394129724900471878401073) (C 121))
(198 984 (7129 38703853 107052358117290670261 2431190512034234270101) (C 127))

November 29, 2001

By Satoshi Tomabechi (November 28, 2001),

by snfs 
(49 560 (5128758474958923131562401166234204209) (P 79))

November 28, 2001

Mr. Alexander Kruppa kindly sent us a program for computing cyclotomic numbers 
written in the GMP library. It will help us to compute challenge numbers.
The program is linked from index page.


By Sinkiti Sibata (November 27, 2001),

by GMP-Ecm4c
(67 118 (269 2563931365185375451260637598797) (P 104))
(67 201 (1473253049553114997 8632768201715859463305889873) (C 106))

by SNFS (programmed by Prof. Kida)
(59 120 (827 141648589888317753877532963424698624140733037736061) (P 68))
(59 122 (701952942422800020997070293354280797) (P 86))


By Greg Childers (November 26, 2001)

(53 312 (51706801 52623407017 1169361377865902256299189329 15115728707517798638130753682841) (P 54))
(53 362 (107 2908634019764293 1464240341281581211133190393133 1427267153215572629226234625025520148483081) (P 44))
(53 486 (702887 147307883247925937249770445015371) (C 102))
(53 511 (107 300787489327677941727066652481) (C 110))
(53 516 (225280342995038569261157287) (C 115))
(53 521 (22367 23321 1173768318992726031126346879237) (P 103))
(53 532 (6655007329 1418315385808151339539587163 519840825436189511681445887357) (P 76))
(53 549 (107 3562021669 13334894901082632248870401559) (C 103))
(53 608 (4241 4877 328177 1948851832305280043912697281) (P 105))
(53 634 (107 439954909 235168915507025518815062152141351) (P 103))
(53 680 (2333 107273 1057039407362888377921799323) (C 112))
(53 685 (13853385535009 4835900259348588535140462641) (C 107))
(53 686 (107 103731982139720225264149499) (C 120))
(53 731 (107 46747 16627267 31409179461593871114131) (P 113))
(53 779 (107 9664090154012677794997453841) (C 121))
(53 804 (64948597561213 6161194903973928834391549541) (P 110))
(53 806 (107 16946221 259131969556828367129548652173) (C 113))
(53 898 (107 1697 2969 9859 300731428957088992416326579) (C 115))
(53 914 (2713283 540895947769595333 13767836776206960032949595483) (P 102))
(53 916 (954743 2178142161973 6140385620651920944939094979093) (C 105))
(53 922 (289381 1236696237673664646874309) (C 125))
(53 927 (9207200055979816372542661734247) (C 124))
(53 934 (13905187 151851205918760233635997300748749) (C 116))
(53 941 (107 743 1501142003 10976848853784007919248642241) (C 113))
(53 952 (444671 4600507 88741693824243346847951039051) (P 114))
(53 955 (53 107 107 743 397579251807397278788060318663) (C 117))
(53 958 (107 313549 138807637 180507027553507929887927569) (C 114))
(53 971 (12000473 40925139934801 15768207682798080361496396669) (P 107))
(53 977 (107 74703863687 145056568141 35249307588668755644206944181) (C 103))
(53 995 (1061 520567 194999583065791873794474767) (C 121))


By Joe Leherbauer (November 25, 2001),

GMP-ECM 4c
(160 400 (20782993484427521 1156986133805421031180101901956481) (P 118))

CWI SNFS
(112 841 (12097 4060897 61488253575510632263280090712701231035856609) (P 86))
(130 400 (397861260997765684037814482315489140114601474401) (P 78))
(160 169 (96001 1218717648107630002329276423567229540624786569051585904260280734401) (P 72))
(162 400 (33658112049497509852491163407393186612612999761240006501376932548729) (P 73))
(168 441 (2774300000368737687891868483184052563250138593521153) (P 76))

November 25, 2001

By Takahiro Nohara (November 24, 2001),

(59 129 (1181 122904329745741763229239682599) (P 91))
(59 141 (70154383777138852374665371 1710565303405286473519257692114417) (P 66))
(59 185 (227977 25026943216808737030189315649) (P 98))
(59 231 (11801 63353209275326697941049786463) (P 105))
(59 272 (910915101647999309691853451) (C 115))
(59 293 (701296632991 3791024673841665642130099759) (P 104))
(59 299 (10788859 23525963617068013046317 6944209701980814323976658441) (P 87))
(59 300 (31271 701629 54552997249 76401393042553 143029828944112821323 3229759166993111858214271770217) (P 59))
(59 320 (87470569 168290343631488476451544437634861) (P 106))
(59 321 (106319 377155482734313814092393213091) (P 111))
(59 325 (1063 75909516930344381723 8829838849731633369719621019821) (P 92))
(59 356 (75403 2378907509641795863190966824248481919) (C 107))
(59 371 (19471 209687 682561855527618828195965343619) (C 110))
(59 373 (864929971 1353389748701 991792318232627710570450050797569) (P 96))
(59 409 (827 1799673573746814217303 62796511922497120483532227) (C 102))
(59 417 (827 137023253 956662699 67442399085517 137367284810707899846641739149) (C 89))
(59 420 (827 7417717 2805297790849863624382296869 75718663288332664340570737183) (P 87))
(59 426 (8888233 35844979 8405122764155808123497760713) (P 111))
(59 456 (769597 1676663 70554797 102175553117115409 55062353805345996740475743093599 23552242125306116962485969124873629337) (P 49))
(59 474 (3990997 513378345608767 2313287610381203944297692313 1434496813307034769063965443896673) (P 74))
(59 476 (1063 526871 1453643 45912885776711 173866466110454950440273032330549) (P 95))
(59 538 (212276299757704597331382194357) (P 130))
(59 555 (827 1889 3541 751307 14143694002913 234795384317757416567 56930508331204229635892021) (P 85))
(59 599 (455953 2075208181 1443728063414364641419954223) (P 119))
(59 624 (976139071 467466526362516784517 7308297628884879391852539134569) (C 102))
(59 716 (827 14859980482915817 16944172659575251583667376374829) (C 116))
(59 721 (26608249712236119824851579237) (C 138))
(59 783 (1181 78707 239333795322541293283288829) (C 134))
(59 814 (1158407 11887225892737891859674403 43293345113256844128251753) (P 113))
(59 815 (3653789592417753075557 880479531794358264404288711) (C 121))
(59 820 (1181 4890983 141960141381376359319 127329012500860971065540038573) (C 110))
(59 833 (3187 179061632387802115104960874519) (C 137))
(59 852 (827 9323 853882104856679687617351637) (P 137))
(59 934 (203669 14091226366211 429773286488471 29372507262963089426352133369) (P 111))
(59 950 (7125083671 1213652100457 152567492348027 414350622357469822052417 504523932867483722461863293) (P 87))

November 23, 2001

By Masaki Ukai (November 22, 2001),

gmp-ecm 4c
(86 448 (55012995385531 365221333329612271035664729243) (P 69))

snfs 1.5
(98 367 (4999 5021970590821923965047084770733636901) (P 68))


By Tetsuya Kobayashi (November 21, 2001),

(92 485 (257711757521939080221103299906262816578587773) (P 74))
(92 716 (1289 619897 23390195576013435408843954862142713) (P 83))
(92 897 (5981 24197 22371196193 273418815077203562855594305400801) (P 79))

(94 660 (421121 475421735165659336319197793711 76825077812308474374684097043427780730943) (P 54))

(118 179 (5802887 919976906301886010215991212999) (P 94))
(118 228 (27721059641364721733 1366186610854645008097163569) (C 91))
(118 250 (530293 304793876725657687139053 1418435527395401711939224259) (C 83))
(118 268 (827 480143 1936381 1409876509 28794410629368778821347 1275070489763497596386779) (P 71))
(118 315 (1977091 27769089073817803 431756556546400349097901) (C 99))
(118 316 (82946130337445298939974516085337) (P 114))
(118 403 (22218083357 764715020286990757343) (P 120))
(118 474 (827 20819732027 3126390329401 588850471210789775826989) (C 106))
(118 488 (554011 4330333684978634923 537588513672118354085672594311) (C 102))
(118 520 (1063 6491 6929551 2317802993215772929 45710405306776171211 1359933710794422071699) (P 85))
(118 540 (827 416360598347 368966107905977 1040696591314835602731119251) (P 103))
(118 559 (1181 8935079 2097556099517063890009205717) (C 123))
(118 614 (2833 13099 10699791601 3981285075541 100274563021628785992491) (C 109))
(118 660 (7789 32628625745001473337853) (P 138))
(118 690 (63367 238130363205595377201022157) (P 134))
(118 776 (1699609947126067 130230913621582843164107 47338619820002090248268918827) (C 101))
(118 827 (82437659761659436078507027019) (P 141))
(118 829 (1063 192738322350521 776135137149149695512500771) (P 126))
(118 847 (206383 334858805608737757 1033462278305735416815779) (C 123))
(118 858 (7789 3881750332799 30855662986504860112401187) (P 129))
(118 870 (436408369 1271712754758557 22146635983463889052552081) (C 122))
(118 876 (37104629 4469224159 83019893030603133112478081) (C 128))
(118 891 (55697 253819 12124013493833077 253087878495041454133 183687435400400630695687 468499258611765414542437) (P 78))
(118 893 (1859491331099 116975761019639 4565729311010998650419) (C 124))
(118 908 (68087 483211 3504521328186400302319997) (P 137))
(118 915 (827 117883 28681655287907372207 2164985606891805328586949677) (P 117))
(118 954 (709 10267 372764485521378012887081867) (C 140))

November 22, 2001

By Satoshi Tomabechi (November 21, 2001),

by snfs  
(49 479 (197 2790315042119649360620673557865995438057971853) (P 65))


By me (Hisanori Mishima : November 21, 2001),

by GMP-ECM4c (B1=3000000)
(86 585 (70630688636688290890439150251598671) (P 82))
(86 698 (1033 3168509353 28913422913 8493406420152695695267087157) (P 69))
(86 789 (56417 310995007850280325481791864995521) (P 85))
(86 836 (173 15291926094381833880854463401899) (C 90))

(138 993 (829 14515188685487403868691020952598721291411) (P 89))

November 21, 2001

By Alexander Kruppa (November 19, 2001),

(86 736 (1815977 2324985457251154453220351314607 1411806132007847148632713391307797) (P 51))

November 20, 2001

By Aiichi Yamasaki (November 18, 2001),

by ppsiqs 1.0
(168 203 (59897518804854767328433 225897762304799400140872148335777) (P 56))
(168 974 (1009 2017 2814214033 26473138318537 497363447158313647917315577 314402927857969656583124529844150177) (P 53))
(180 105 (181 2521 15121 28440038097201239539715480579336789101) (P 50))
(180 381 (541 517340511797401 6638623718744005741 85837379715563542668814146933191326936381) (P 47))
(180 705 (479701 6274981 1087351039261 3892818387638890211256361 315701720074641333875477750408994121) (P 53))
(162 244 (241543 12322207 95090953368871 779581166127319 160312455547880639483515843) (P 62))
(162 559 (163 102061 78829132933 16686859855339 17736666387409 42919041152594791 477144952714061378247610988499763) (P 55))
(162 605 (3 163 27541 1204309 6505285496707 1717223819323483 1719423984351088915489 717489373049779469067921948851649988963) (P 49))
#(116 159 (479429 155185203449 6531643630152223309 533701548788686813562849) (P 64))
(174 185 (108751 9780526081 4029836932292661257528539 7625768734848594929067607) (P 63))
(59 160 (1889 2243 93681853 18545679549638902892713639 4620128253516911421307884658857553413082169) (P 46))
(59 822 (827 1413169 13219069748663860471967 23060180797590456112267 5276324525674286020686800563 11253897645416358620415243627616732091) (P 51))
#(118 746 (1181 3659 2682731 18873629 205949413 2853304901 15912798079 1663195732621 4884308305173364019 721860626175194688600573650111) (P 58))
#(122 437 (152623 398941 48860565521401 23732633705954875039969 389910638811565880165299 26296406322737161419704369) (P 63))
(198 152 (199 64297783391856744313 855985860105493755727 5483353037574031184315131503312633228523) (P 49))

by ecmx(ubasic)
(86 586 (173 685202216986375305495371604764580053) (P 79))
(86 690 (2753 149668380832021751892899125223879143) (P 81))

by GMP-ECM4c
(132 755 (300961 37159873161836683146569093708955562453) (P 73))
(132 839 (16299510119102154231628030604457588541) (P 80))
(132 981 (608869451322749530650908022701514853 100363033458519484863568737941568242149) (P 46))

November 19, 2001

By Takahiro Nohara (November 18, 2001),

(59 187 (3187 3541 3621315786285269 3311363905586594221681516567 54614523184277116650821312929) (P 53))
(59 202 (1889 4013 30091 28654115881351544962072781) (P 97))
(59 220 (1203144921634158753953230207) (P 109))
(59 276 (283758570583 10908149666957772599309903) (P 106))
(59 278 (38036748469 351619043799323 1025897738820805670743531) (P 93))
(59 332 (127913 69876785057664629082425362249) (P 113))
(59 348 (3659 269749 399667 132655668323 10744950999167270330417924953) (C 94))
(59 355 (59 46174133019281124779958346489810381) (P 112))
(59 368 (1848527495252332880356384043) (P 122))
(59 386 (1446091 459260603 4110761860031265011 5762760357731502425927293 17726518910653894182206107553) (P 64))
(59 416 (3541 486397 1898969415365422093 1901561020479305700083301199) (C 98))
(59 471 (709 500321 21687402095219139371 117453198738570979440428933183) (P 99))
(59 490 (6373 85407094591133681221231) (C 130))
(59 567 (3317807 23480676078496670179347739 53877058720064537976930238937) (P 100))
(59 639 (454300493771482904263 1265346287432865494548954939627) (C 112))
(59 649 (347983 655852736298040563653548291) (C 131))
(59 660 (259292125822991 34784111316151117 484646789670286225678337) (C 109))
(59 661 (1063 573055739851730394813051527261) (C 131))
(59 682 (10267 10739 12223938553252645835999 78648856715636410852639871687) (P 106))
(59 738 (14633 92477191 117638430521342295828721) (P 132))
(59 753 (709 1181 12391 5581637 345483587 12463047977570905084146542532271) (P 111))
(59 774 (3957839 3588648627361907 2036382128364874233984482093) (C 119))
(59 776 (827 5173186523335559 14329111746293290750109) (P 127))
(59 848 (12037 10338503921 3412998136944005354433977) (P 132))
(59 860 (9677 11093 56900347531 720798671516822887 61038483866099660287510607) (C 108))
(59 873 (16794383867 2199484140145452413279083) (C 137))
(59 886 (59 20508991 4733757031 17399107199 57620049710791667719 7970677030378391241167738213) (P 95))
(59 891 (44959 481087 9388042180745027407042512211) (P 133))
(59 917 (2191396223449 21992144009608121 3627197135287856140392432531347) (C 113))
(59 941 (19767817655974317871011769427) (C 145))
(59 944 (13217 702101 279223809401120569711433249) (C 137))
(59 949 (14869 11939034209 21719798301001997237574107768257) (C 128))
(59 950 (7125083671 1213652100457 152567492348027 414350622357469822052417) (C 113))
(59 952 (11329 1829473 298078101863 1652711497424071257542390113) (C 124))
(59 994 (65446053511712750084437763) (C 149))


By Masaki Ukai (November 18, 2001),

snfs by Mr.Tomabechi
(98 489 (7 1530054758324568401905234916127359691773211468617) (P 64))


By Sinkiti Sibata (November 18, 2001),

By GMP-Ecm4c
(67 575 (269 259157 15490706453311 1071235887511063 28332836006200088080523444210483) (C 115))
By PPSIQS Ver 1.1
(53 164 (107 107 1061 1697 1298382023 2628618295750081499194140483892405146984693053) (P 51))


By Tetsuya Kobayashi (November 17, 2001),

(92 455 (829 1623603462296138798125427986834113789807650582861029) (P 63))
(92 988 (1381 8814085393 3955238360951969050721137 16863702297687027931850933355954369438063950437) (P 48))

(138 404 (139 829 36590079978854742748759928501263) (P 79))
(138 405 (16561 5330527 317833527967 5749302575669551787952453004452049) (P 59))
(138 622 (3258478081 240152028870543611719101889648288873) (P 79))
(138 624 (139 277 829 21943 40661902447 1272046569486852915887536546489) (P 71))
(138 862 (1192565330717512959546368136849361) (C 97))
(138 932 (139 5521 7177 16086019233019 155187983026180550412428291398183001329) (P 70))

(94 408 (283 1693 2539 1065005496568006984814268597477702161943510181103591) (P 60))
(94 442 (1812333128415669650663293391 30618543815607278870787592853896567855030771) (P 51))

(118 177 (2833 36057961007973013 502122290570150315306569) (P 87))
(118 288 (24503881 4557962468975908476825259) (C 111))

November 16, 2001

By Greg Childers (November 13, 2001)

(53 440 (107 19242499 84761169422476277 20431447468497177368386429549) (P 83))
(53 515 (107 892627 10754426112416606155597169 85276210940062020525270343) (P 83))
(53 697 (4241 274117 611621 785779 111339736009 1622435463641 45395708964313228333334738341) (P 76))
(53 793 (107 743 3998526277 9961244213 5509540037861 77739176990889659312912399) (P 88))
(53 825 (107 743 20508919482563 11217533098549358905426691 29680130065772864697307159) (P 83))
(53 989 (309509719 568663819 137021641695462001 379568401656209023963 1289316644373238546284487) (P 77))

(87 296 (1741 4760879445230959 346218249824095430843178795823 59136545858722023744541804192064290222453) (P 50))
(87 561 (45904503447798794666488836337 81286927987897679880480330013 1337758288336608316425077777205286307653) (P 58))


By Katsuyuki Okeya (November 14, 2001)

by GMP-ECM 4c
(77 110 (88397 107842846651 776503102116281 8698007261811240290270678557) (P 64))
(77 133 (617 18252840124666093450689109 2407651989555507427215259150529) (P 69))
(77 135 (1017479 8003567573 9691990240839597431388076199) (C 84))
(77 155 (7660980855693065209 641112665675662631683) (C 92))
#(77 212 (155319999136717059191487403) (C 114))
(77 247 (791099 7831190753 8529071518074826181 628979423691426594478847) (P 86))
(77 250 (21100446187563090041 18714539066486612316585311 375040120804034549990812841) (P 73))
(77 252 (617 26810402486060117 1763860261473023315141) (C 104))
(77 297 (55441 62014067133481 1270479054683136634552753398247) (P 100))
(77 316 (44480899 3322609884599457701317993) (C 118))
(77 329 (1616693218051489733 486720518326964865346327) (C 110))
(77 350 (1189930271557945135503449011) (C 126))
(77 386 (132749 404024987983 16511442561334939686931 366926470429068028922690017) (P 90))
(77 411 (463 249943 2147839 1292309789 120260258557184949930343) (P 111))
(77 418 (2003 450321510430793 126863322348406846411209463) (P 114))
(77 503 (178745360515311929424871408547) (C 133))
(77 527 (463 506112377 37724837993326367911721) (C 130))
(77 535 (18686769949 6048916292988622182359693) (C 129))
(77 544 (204303771884132143198823) (P 141))
(77 551 (570238415763469827067 29395147108653145684725323) (P 119))
(77 562 (2044774701654176365117399) (C 141))
(77 619 (2482481 1852251017 26786613547 996199444087 136763096326214152987673193329) (P 101))
(77 624 (463 12276881 1463772311 1604775939320160057931639699) (C 122))
(77 640 (2003 218594839 132613755374255299782947 4613225522400516642440454559) (C 106))
(77 645 (32803 50347453793842106889708705601) (C 136))
(77 687 (33071282579499836297627) (C 148))
(77 758 (536210994551976899 7183825630950278324939 24104213665302529742831) (C 111))
(77 847 (13553 25266802793 371771318775781 2730221564937329 197375689349783994404484361) (P 105))
(77 949 (617 60323016257659 1179538787466870139 1490405759871700764025627) (C 120))
(77 988 (2003 694522975374529347847109) (C 153))
(77 989 (36037 109137491 830390934753552716062613249) (C 141))

(93 155 (2392147 217747118096465761 1406509844846758605409) (C 87))
(93 198 (840907 376474954204997031312736183) (P 106))
(93 222 (31 89653 144709 367583614792861 23916068634528181849875091) (P 90))
(93 226 (373 75703 538446751 1452879716037768423787027) (C 101))
(93 264 (1117 104070852441859 1423001828678265109 528287997114818155903192901083) (P 81))
(93 303 (10870399 145898773 1175565195580319567751349 9784564246070705928080989) (C 85))
(93 310 (373 1303 4651 252061131296140443663889) (P 117))
(93 318 (11932964303347 193354888915377216256876172401) (C 108))
(93 348 (373 699411151 128917800771121683556560852547) (C 112))
(93 407 (62683 1205467 88323217 126112667299 11487324531124312638121 23514671025373772179543) (C 83))
(93 416 (44824088106222147241 499035539234038359474473023) (C 111))
(93 426 (1117 8929 65101 939063967 333889750505977 5973802346768266273784503) (C 98))
(93 427 (103902763 1516556247061 112936390097257 157196005015665592895107771) (P 98))
(93 540 (1861 882394208194662001 707781148392941454127 32947996360154947260904963) (P 97))
(93 549 (2791 46870581773252047 37302135965433273880149762589) (C 116))
(93 601 (1303 2010103 98143713835933 299778262496913897793 561763510547644792111 2043174781585664167769239) (P 78))
(93 629 (373 1861 16927 355406197 3807318276043 1229751180848822953 410757959900427128557 3265154639387130557794687) (C 74))
(93 633 (11020129 45066871 11135150401 7205632426639 3516386369327193822721 3943152813857890807781671) (P 85))
(93 791 (1117 3907 12874960995854675681605123) (C 143))
(93 805 (344793759145327311761551) (C 151))
(93 824 (60841531 372896149 3097841571061 2713321526458957772680027) (C 122))
(93 968 (7622281 27420121 52575758319103 159301869367248562129129 60798163488955210788499327) (C 103))
(93 983 (3965707 1071139923465045073909) (P 152))
(93 986 (31 5023 5209 11161 898753 154185259 5621434477 11703656701601805887473 45207044374015853814202657) (P 96))

by ppsiqs Ver.1.0 (by Mr. Tomabechi)
(77 135 (1017479 8003567573 166800220732746260094695569 9691990240839597431388076199 32017565529466300937410484767) (P 30))
(77 189 (463 572881 59927192476832886915403 279585587079898146154339 2409762912419498509986895557496652239) (P 46))
(77 658 (5237 59753 516979 1580503 196296409 434834863 262676607733 11558790876557 51784304502725411 8731087775673171530654962257637) (P 60))

(93 155 (2392147 217747118096465761 1406509844846758605409 14910803258108764085535031549) (P 59))
(93 629 (373 1861 16927 355406197 3807318276043 1229751180848822953 410757959900427128557 3265154639387130557794687 4372767574311369604367224757975917) (P 40))

(122 126 (733 182758492075213 245260660867590607 1244567168896701490774656878634505049396927) (P 50))

by snfs (by Prof. Kida)
(122 105 (3539 35381 339325743588816791 3507192699013270139956907) (P 72))
(122 111 (37366430168285839323487 2168715795903332607255093256211 42817967735561777534541848999827) (P 39))
(122 140 (213037900661140176140602047561207949137961916741844082407367) (P 70))


By Steven Whitaker (November 11, 2001),

(104 411 (1722241 1086406663039824361 84285287871632921731277657991124289) (P 67))
(104 420 (6610771649 1023602688593799554870994079459537) (P 84))
(104 432 (521 26209 577305404452771593357574883181913241 41280104677176264139138728666604728377) (P 46))
(104 462 (3433 62297 1923093325226644980773059713966355993) (P 84))

(174 174 (12703 3670579417 158405499940802903333407 192829672598850420984046618630751929) (P 54))

November 11, 2001

Announcement.
From November 12 to 14, I will visit to Beijing as a business trip.
Next update will be on November 15.


By Takahiro Nohara (November 11, 2001),

(106 213 (29582263475800612475675460659 134404357622853155951368527394510909) (P 58))
(106 570 (10177 1766279 327017209 116658390210029 2297409890761119559 4054279052149982697552078190356599) (P 59))
(106 746 (107 4088527 8959766667689371139 278985036806191507692689340991 37580701291808350080477990150361990770361) (P 52))

(59 198 (9677 5065623661718078945595481) (C 105))
(59 364 (2459711 160597529 11629308066421 84270691751285794643941139922689) (C 89))
(59 391 (413827 43652050482877379778914123) (C 120))
(59 434 (709 3659 6491 68087 21810821868448641703877 873204604507310933904327859) (P 89))
(59 437 (1063 114319866309348544847 455798892364239497928571) (P 107))
(59 438 (394618326287087363 723769097517751871 5899911710038063664740333543) (C 90))
(59 483 (34457 68546083 190299427 1417015273 989204012990094856216226891) (P 99))
(59 533 (827 30019673 3975054519899 45742269933604946991388553) (P 110))
(59 630 (2162668688756317831 78098799470108262244177575211) (C 116))
(59 654 (21170540048947 18635434794300266818715447) (C 125))
(59 695 (4957 172517 1383433 654577886819775757871418989) (C 123))
(59 702 (827 65379268115741670608369) (C 140))
(59 730 (1889 4721 71555791 106033984704248407414688819881) (C 123))
(59 809 (66553 3760989698085568841768279) (P 140))
(59 842 (299356921907 743131216531065913308503) (C 135))
(59 874 (709 621966673 3477160092832805868298567) (C 135))
(59 894 (479806291 7100794163622326311357) (C 141))
(59 899 (26977349547310346423 1830441808192669823832210757) (C 125))
(59 928 (4042881218203 30315314540303060139660149969) (P 132))
(59 957 (4013 8304133 57420689 15301580263 9181224192709040033957 22370849988308673085598191) (P 98))
(59 965 (2093687559448032557597266594103) (C 143))
(59 975 (19345553550537095334604313429863) (P 143))
(59 981 (116965786060031 7077450976218961768517) (P 138))


By Sinkiti Sibata (November 11, 2001),

By GMP-Ecm4c
(67 153 (2197815825482730817277739197) (P 117))
By PPSIQS Ver 1.1
(53 234 (1061 421987 347968825409 206164075224553 89339677529463026906492443369846813) (P 54))


By Greg Childers (November 08, 2001)

(87 507 (349 7263987118933431459905611117) (P 122))
(87 544 (4127209097995681565055868513) (C 126))
(87 552 (14389567627662379718032348879) (C 126))
(87 559 (9636475873181566795881835603) (C 126))
(87 561 (81286927987897679880480330013 45904503447798794666488836337) (C 97))
(87 650 (1568721536969570474636369991049) (C 128))
(87 734 (2391979 37857854166788973894540265860573469) (C 120))
(87 735 (1567 6961 21631032865470080104602601) (P 129))
(87 737 (2766141607729409214553) (P 140))
(87 777 (523 19489 56348212656387349127969047) (C 130))
(87 801 (451449961 176903900791 57492921231801536707823851) (P 117))
(87 803 (191603704871121639249534877) (C 137))
(87 818 (6091 94150531 5921155989321894964759153) (P 127))
(87 846 (349 18449916896235308538749612887) (P 134))
(87 890 (349 3225787 33794433327774176676988423) (C 131))
(87 909 (291103 15492992609808227096063043427) (P 133))
(87 933 (1567 8353 505758537631640826160805833079947) (P 127))
(87 936 (17085618209758274349443071 133178991083554806762717519883) (P 113))
(87 979 (31175581 71861653 1656177208810655930624089 1185717186828250070659812643) (P 101))
(87 983 (602731477 2580713887 6963790558928793831944545627) (C 122))
(87 994 (11426407 613570459 6944662454313692120256278299) (P 125))

November 09, 2001

News !

New version of Mr. Tomabechi's PPSIQS has appeared (Ver 1.1).
It is faster than his PPMPQS for the number up to around 100 digits.
You can get these excellent program from the index page of this site.


By Tetsuya Kobayashi (November 08, 2001),

(49 561 (7 883 1075453 4179248319274992776812699750572719) (P 73))

(92 440 (7850900593 504558483520458036795484392234492310973388133) (P 62))

(94 675 (136207 71072726209 661864647137342910589 1749982369611310950107062179751625066110327) (P 52))

(162 186 (1218727 635963639940903813094009 3125589919671953520518779) (P 69))
(162 274 (1999567 2521693 3371059 8074606393059326475103171) (P 88))
(162 709 (1297 11020861 8025205566003164159941432657) (P 116))
(162 749 (3 811 1621 56128319230915695223 87248458970723436875264545417) (P 100))
(162 861 (811 8692759 8556664662541 6036653170941949 6144177391347464103627253) (P 96))
(162 912 (811 1459 2593 74540251 1186425650777149 492243312734830359919 11888694480018140344838557) (C 82))

(116 180 (2089 180661189339645876600041556489) (C 94))
(116 262 (4355920849889571480860983489) (P 108))
(116 348 (5569 7541 44926711307484176778989 1267285623375538575949277) (P 88))
(116 387 (349 1277 618490756904794279755757) (P 116))
(116 609 (929 469729009 92421857804957 1989880512696397 21001960140019874485127113) (P 90))
(116 774 (1741 577333 635199598734372066757 2078726614355596873601 573221582475037594827409) (C 87))
(116 857 (59509 940529 82852117093427918548406561) (C 128))

(174 792 (523 4341011795881450230126047347) (P 132))
(174 814 (12300931 12389059712755098365313026821) (C 128))
(174 856 (1207909 279898610993042659 62461888439014228215794232851983) (C 109))
(174 906 (1084543 1105722270349738864289427980389 655019916163257730089295866930247) (P 97))
(174 964 (4125503983 1211161820766553 397923999439442286874873) (C 119))

(118 174 (436728556723777769778266803) (C 104))
(118 537 (709 81157465894270694188107709109) (C 127))
(118 913 (10267 13807 64876519 3663454416610913 114970196132900582322794385541) (P 112))
(118 921 (16037971 69087467 72378959 110428579561 105093470338558829413511 11086963592768310100773863 4208313871075594938607360633 5301711686379823923227253979) (P 35))
(118 947 (709 261374734633 2761318835058341140926899) (C 134))
(118 984 (709 49684646587 55685057998026262648290619) (C 135))

November 08, 2001

By me (Hisanori Mishima : November 07, 2001),

(86 736 (1815977 1411806132007847148632713391307797) (C 81))
(92 444 (17342951533544921415673 13914135891422853794203164111253) (P 64))


By Sinkiti Sibata (November 06, 2001),

By GMP-Ecm4c
(81 338 (1933629804774400133184111919) (P 110))
(81 378 (73217018735699496264253 221136133785403078527023989) (P 90))
(81 534 (348463 5089879 92547796736464764919657897609) (C 107))
(81 639 (487 79247783407016211449695381) (P 123))
(81 840 (2613452294179 15470610600266284153646742049) (P 118))

By PPSIQS
(81 350 (163 2907204373 84034155932286137541597850094449 9577984694806783166887862424840349416864986263) (P 48))

November 05, 2001

By Greg Childers (November 04, 2001)

(87 159 (5569 672571203861439380416560505977) (P 90))
(87 170 (2089 39025006725499844129004583903) (C 93))
(87 179 (523 1591429540918473596653565133528013) (P 91))
(87 246 (100747 5661961 2576461311019610600413984369) (C 95))
(87 257 (2437 6961 78345347314347455405810326083199) (P 96))
(87 271 (349 11555297483797 7528363961586046825016969551) (C 93))
(87 290 (9397 70984867 595260260983367485211902926319) (C 97))
(87 296 (1741 4760879445230959 346218249824095430843178795823) (C 90))
(87 322 (6392587 313386708477499 14745842643443179882037812471) (P 91))
(87 364 (349 523 326947 3815490967 41265389650807575781268743) (P 98))
(87 540 (523 57119371285415605032067 7010827486844008377738523 17114312000025166684905769 233165002695202983694684005978823) (P 46))
(87 675 (2437 7309741 15672422057977612584043537) (P 123))
(87 696 (1116251048434454161 239411001571256913217 239513768198445912193428379) (C 95))
(87 722 (11833 19489 93349540489651099863799 256605461526902153015134779457) (P 100))
(87 750 (15065207797 8918072205048698871146757619 113385806589343242067307903287) (C 94))
(87 790 (1741 22045475148439 250664968777596952050457) (C 123))
(87 814 (349 37514923 55560272863 1573649665879 274837405953847066398609787) (C 104))
(87 844 (8984491 3528357559 17735622479203 1018065669500833 737225231620322134363396771) (P 93))
(87 867 (1741 4992409 90660961 1355827141 630008506604813377 1926765004190428463440696477) (C 93))
(87 948 (6961 103183 1110333151 1801852224919 93807804047879339402813871961) (C 108))
(87 976 (4399939 1229793985177 11473128701586333761461 88757086105920183611160065014896852169) (P 89))
(87 995 (523 11311 15313 39948796416799183 238600585197308081549867503) (C 114))

November 04, 2001

By Masaki Ukai (November 03, 2001),

snfs 1.5 by Mr.Tomabechi
(98 434 (3845039248382028300895789192469728975392070607760791) (P 60))

GMP-ECM4c
(116 850 (106072139771315383825593869) (P 139))

(118 240 (709 118920587537013740661451) (C 113))
(118 963 (577418177982711865853515963597) (C 144))

(59 837 (3541 941544504207965665435212979) (C 139))
(59 989 (277125312265040010589781) (C 151))

(86 716 (173 947 1033 1721 54869 209669 16098153128388243891675231738809) (P 68))

#(87 193 (1601869495961072486397264139) (P 101))
#(87 267 (20707 1793587176344386897 358919529648292325542363) (P 90))
#(87 380 (360082909 19096531843 1529346544519 23646172128263159981371771 85315025412942012340559323) (P 63))
(87 383 (37492709604405867492538454488814101) (C 111))
(87 680 (2089 199890853 319667059 1504698583 15682227482353354981352629) (C 105))


By Tetsuya Kobayashi (November 03, 2001),

(92 864 (277 1462495732465297 526559943295627573 326653186622695540599217053898264213693) (P 56))
(92 973 (251897 744649 17410909 86464316495324244397 27768157835949250140801612334738763316726629461) (P 47))
(92 985 (1381 22817 256553593 15363871376304471405797 23427732690801835570666612002317488021612564013) (P 48))

(162 215 (3 163 1297 6481 5261761 86771073008794753 1992699794201235207932773) (P 69))
(162 365 (3 20899 180307 2493603884786797 4598021719260641598103) (P 92))
(162 386 (3 434647 53137783 23810192191 426205227563629673437 404699290637848861727129583709 375530297288966039754146877827113) (P 33))
(162 413 (3 10054667913180484434783067) (C 116))
(162 489 (26764831 282602932401157408982854189) (P 112))
(162 501 (163 2269 3889 4150548935574031 18501280190770780728317683) (P 96))
(162 564 (163 125355842970799506121171 3198104327438972540073883) (C 99))
(162 596 (3 163 68824606196620576641976227289) (P 119))
(162 624 (3727 63209509843629005756796858018121) (C 116))
(162 723 (487 120691 2413153 20786675615849119609 5500194289184515935997) (P 100))
(162 730 (43093 191649540758452120364599) (C 127))
(162 736 (487 180861278460704984342567539) (P 126))

(87 540 (523 57119371285415605032067 7010827486844008377738523) (C 103))

(116 582 (60540764638786889 11406984390174982525157) (C 116))
(116 651 (349 123865670046834556700069269) (C 129))
(116 658 (475369 5991169 1688537977153 150765411157825449346435273897) (C 104))
(116 906 (233 929 2437 362169053 80826861730337010976813 94659798888549741302473060301) (C 97))
(116 946 (233 349 1741 9629 359137 696991134069289 1119935688584873 2110077327826965737369 2669343517566882268661 1022966179227463649908151623381) (P 47))
(116 972 (17401 26449 210193 51642748048109 543329811347161186110053) (P 116))
(116 975 (47515109974901 297629571233215984121) (P 134))

(174 249 (1741 424961431815700215820953043) (C 105))
(174 368 (1651609 738563671591733247183954367) (C 111))
(174 530 (67586806701204524010794420221) (P 124))
(174 648 (523 115188523 5426815646128853229259 105880644381498719602396939) (P 99))
(174 672 (349 43103818531 175599440817809542507 4354900912426581939380449) (C 101))
(174 949 (8353 4530770341 22669571557 596483711805847 175509417057613822938511903) (P 102))

(118 108 (36528411801435027222817) (C 96))
(118 202 (827 1518331325849408781883093) (C 107))
(118 273 (1816744116562082996343623) (P 118))
(118 332 (2833 53569241307050788959667121) (P 118))
(118 426 (709 1181 3541 166853 2031961 13162783 293848439 110685793335210587419867) (P 93))
(118 473 (22067 540747187896444827 3518861605785998361671879) (P 109))
(118 500 (1960173403 724509033907 33970140921276978221681 916740164466301697458303 18084051594019064010784703) (P 64))
(118 503 (3187 307627 45329040875231997659848077449) (C 120))
(118 520 (1063 6491 6929551 2317802993215772929 45710405306776171211) (C 106))
(118 523 (709 126642497827 623972212048981 17224974853996988749593144923) (P 101))
(118 598 (1889 329557009 950821699 52793721112524621372718114271) (C 112))
(118 610 (32687 122147838578264497 5564099889619422301 4898522165942567457097430827) (C 94))
(118 632 (2925454455532708344887705237) (C 135))
(118 651 (20297 34457 46021 1400097512979965358933091 7415991006638911225709725921) (C 98))
(118 693 (29501 61359347896292339947365419) (C 135))
(118 746 (1181 3659 2682731 18873629 205949413 2853304901 15912798079 1663195732621 4884308305173364019 721860626175194688600573650111) (P 58))
(118 831 (4957 9677 690034389907 13662615750430245182191) (C 128))
(118 960 (49037579840063 4168837434441413753 1980810082568950112803553) (P 117))


By Greg Childers (November 01, 2001)

(87 164 (11833 64658395999 11139818510716766395098331) (P 85))
(87 182 (87320691571 5665916455895414384386261 33697358215859499863435356682361157) (P 57))
(87 193 (1601869495961072486397264139) (P 101))
(87 220 (5569 45589 712531 9115339 41219129913988278543118620679) (P 82))
(87 255 (20533 58919359 4902536131 730622032755741745802023) (P 90))
(87 267 (20707 1793587176344386897 358919529648292325542363) (P 90))
(87 282 (94494529 1984631821 636014156904331517596185697) (P 94))
(87 339 (262755819989573727604528381 16154802987285367078577511973 23588306312391924972150772109668436219257) (P 47))
(87 358 (349 1393118647 1129242152711773 3114941615257841500410379927999) (P 86))
(87 384 (9049 53457499 20307370177 15179738981519549266346017) (P 98))
(87 405 (24709 2003611 1593957819098371 974196373191222332178337699) (P 94))
(87 406 (1407959977 36152273777077 39916625630893658016700327597) (P 95))
(87 550 (15661 22848856843411 31062547128975306984073 3501493221317736016270940071) (P 86))
(87 584 (33931 19953988183 28407353316109 37590434336779 803286214234803574612491758551) (P 84))
(87 612 (3307 9397 45575770063 949852515697 6245232449263 945809419008963485112193087) (P 87))
(87 660 (523 11833 11628740509 72246743471143889441149 1933877568196318914880394401357 221289417956967465596298743805409) (P 56))

October 30, 2001

By Sinkiti Sibata (October 29, 2001),

(81 350 (163 2907204373 84034155932286137541597850094449) (C 94))
(81 538 (3 163 121844142432004537 9307550746315243243507591) (P 103))
(81 718 (3 1297 33965731 563175829 3187740788953921911223 1880483058501154855115126581) (P 86))


By Greg Childers (October 28, 2001)

(87 115 (412033 1720513 235975284449720821097909249539 48495426235574780303877433491823) (P 43))
(87 134 (15661 22273 46633 28796568022237421758566330900463 1016889356619033998406104112349063387) (P 39))
(87 145 (349 1733041 1741741 46644401817558346358136169) (P 81))
(87 185 (349 1002900529955820500161813 2849399616774562738492248453961) (P 70))
(87 203 (3307 17053 25057 42457 2435450509 43131991179266914624829199373) (P 75))
(87 228 (9049 7255750759 214335045209256427 75079925177778037408307527) (P 76))
(87 235 (4491593706005269907259127 840967869924993827984360089 237881357182716754717333938170249359) (P 46))
(87 280 (285394265065344313311630409 3216576694857402020866260329227) (P 81))
(87 304 (18097 89959 14445481 23620501 977170429 28915492983574276341847803409) (P 78))
(87 314 (20868460654429 11389514337122230247485711 177335213727864743956346803) (P 76))
(87 330 (78163759 76918908757 520411579825603 2149281792810308434433106226699) (P 78))
(87 394 (65569117 1563836932408344866442581726467 11002118861547696047022137290891) (P 77))
(87 437 (5743 46626184786811795701 164633086230087308989231 6814960866433244253231001) (P 77))
(87 533 (8613706059943588886803 24257406759270781071667 4034204554476945758528656273) (P 81))
(87 596 (4177 17053 26449 92213831535369059995513 10282933162903223413493491) (P 96))
(87 695 (349 374138629 5315706855213396709 1996000204962597540769 39071765626544402641714117 112615307354147586247766167973937517) (P 48))
(87 798 (89611 124722679 22197249160730684712631 72532885798841475984289 15111359836156118610948683077) (P 77))
(87 858 (523 57073 224511564379 1176705858813697 1785132609262357205000431 1273157854949625357726067891) (P 80))


By Takahiro Nohara (October 28, 2001),

(106 215 (14370080683813090170437855567) (P 94))
(106 247 (180888259337434013 8747410065080836209699189942179) (P 77))
(106 414 (107 8693 24593 53849 566763812834865222569 1769365264564481723402128417439) (P 70))
(106 444 (103969388741 177576790214892660306812261422333) (C 95))
(106 557 (107 1841874233 7763080873 145105035736669 248878486326696538095576873908027892164647) (P 67))

October 28, 2001

By Greg Childers (October 26, 2001)

He started factoring phi(87) series with GMP-ECM and PPSIQS.

(87 102 (10778953 6287370289 22585642710345943616329687051 66340972319863090846644292819) (P 39))
(87 117 (4003 362443 27070505028271 223436254262053948094870660041) (P 64))
#(87 297 (264829 10956433 2155583167 4137269863 1055527540416199 613151591587674689961646004448097) (P 60))
(87 323 (4700284459105250338669 5743790921060783065525837 409337915283904391313308167 357970686662180199856620457089679) (P 35))
(87 356 (4003 24052891 462323047 41660997921091 43872316943748199 74633515917158692517569790071 6364465405003180163323112118001) (P 34))
(87 362 (156601 914371 62997919 47693174886979 33032714920583472487 48892164966529651718497186233036607) (P 57))
(87 380 (360082909 19096531843 1529346544519 23646172128263159981371771 85315025412942012340559323) (P 63))
(87 477 (523 4177 9397 116929 506689 1457508043 4934736954212984731898563 20534317251873118072928802921384193) (P 61))
(87 490 (65599 283847159461094637236443 1126933547322132129690392431 3622628025713950226564670443903431) (P 62))
(87 508 (17974545739 3273506830753 2284618948779001 19256396809330789 33928790449891810253414941) (P 72))
(87 535 (4283507472760771 20352839932874309947 45989154352533610081 262594157847823558185988065600547) (P 66))
(87 658 (6888139 3533231276894149 116188378022786917 405780630233608673143 154594451203751549157701323) (P 72))
(87 920 (523 304081357 130661217787 1844713119787 2568228745757083 5468741397062674587517 340963579572401982706429 15628339474481211113616391) (P 46))

October 27, 2001

By Tetsuya Kobayashi (October 26, 2001),

(92 560 (1289 9957161 573503639297671141 507292957766978364373428465624650017011937) (P 52))
(92 633 (1013 104513 185841843129138213047874524868305533) (P 80))

(162 506 (3 23977 2690234857 16115345073224362023879699600823) (C 101))
(162 648 (163 811 2593 1375103612304655970774689) (C 120))
(162 674 (3 3933414733321 192983510923255580797) (P 120))
(162 703 (487 1783 499549981162900101212719441 18638764557957385660299882300967) (C 90))
(162 840 (12637 1187947 149059089416889897373868980789) (P 119))
(162 918 (163 811 18793 51679 3781567 90520809253057 3111074493170504226612481 12731138424837977743053919) (P 76))
(162 920 (3 269081677 196583316481835587 779996519968756829739139) (C 110))

(87 420 (1567 444878089962950656983396677257) (C 115))
(87 440 (357571 490538912059252937401347661) (P 116))
(87 568 (349 15139 474239580432428791117 7684926691037440373633809) (P 102))
(87 840 (438829 4184353 1163190233646947969135371) (C 128))
(87 877 (5563651 7396092396303861102493 415590348214980524040751) (P 113))
(87 901 (523 114023572868705221 468928105664006221 1432196149784990971 604037205690523454527383428011) (P 81))

(116 159 (479429 155185203449 6531643630152223309 533701548788686813562849) (P 64))
(116 265 (929 6360937587355117957622941) (C 108))
(116 266 (233 75511013 44017457093 5048879410594115956094069) (P 91))
(116 413 (907481742188925877957) (C 126))
(116 626 (29 17981 46633 28713712365517 41543673484968989253391973) (C 108))
(116 650 (29 2089 383707237 58278787789 2345702680427942573 1075456329586353783572657) (P 91))
(116 752 (110432926278321524973227113) (C 136))
(116 861 (349 5620201 6490226797 184182066793037551356857) (C 122))
(116 868 (349 1973 1987313 106798997 12821569051910973963798842249) (C 117))
(116 931 (49914691956673 14776897378918841 1316315495918950903554221) (C 113))
(116 970 (11441777 8650131086501784642030613) (C 136))

(174 276 (16879 1207201772817487 8508801365448981717919531090933515427) (P 81))
(174 330 (349 9925989899657217252806729574588277) (C 105))
(174 416 (62966459671 594050829917979599124961 17605996525336476891931530714979) (P 81))
(174 582 (349 523 1741 7309 40543 7728175656861826791389963432251) (C 107))
(174 584 (1665564757347464646727935867048913) (C 122))
(174 742 (572461 367433713 2288933336983 2826034623599701 2980756580581364135505244375633) (P 89))
(174 765 (4003 349675980529 202883167802972344130983411) (P 121))


By Aiichi Yamasaki (October 24, 2001),

by ppsiqs 1.0,
(105 938 (9241 23843430099151177956211 170812238234055713662245171301 388766708576005774471132258381) (P 58))
(105 975 (196228411 819245701 3789511368301 102913714852534888044807541 20809748798527419789896302921) (P 60))
(112 406 (113 337 673 18593 67730334295641484998676993 2308746150276271663973402031079793) (P 55))
(112 553 (113 1009 7841 17921 6888852470035842967009660931537 138077171188250408520629244427169) (P 56))
(130 138 (2562691 272987651 161234082343459384464812134211356098784151) (P 47))
(130 140 (247781 14497163851 9342870693684168709854781321) (P 60))
(130 292 (131 93877551821 570016505111836771 10141195434278541616813831 4525822168385160246143549881) (P 35))
(130 387 (1951 512077931 5326915875914481751264961 431296770491973500362513781060221) (P 55))
(130 675 (717323491 36918418443661 82811476601360890608166111 34977179271608821099071742181926261801) (P 50))
(140 777 (281 102331601 178057181 47496247541 9705340826841749019841 148977861768611349994447955441) (P 59))
(144 102 (14401 25057 606107119797628884872214274801) (P 59))
(144 305 (1297 2161 36433 1516897 116112247977601 535383147036458592671880654769927637233) (P 50))
(144 348 (1153 3457 18289 34898849569 17867106794881 750523129684287923851038980359505857) (P 52))
(156 217 (157 313 104911229751436118557 11844948333687597143057017) (P 63))
(156 299 (157 7408909 252927793 93865501055509 19182076527314086669450707697) (P 60))
(156 636 (937 270037 116161950799441 6861836714631511084577509 64765550218658826624802383059297723701) (P 50))
(156 942 (13 3673489 10588189 4376427894106356349 20782394480764249535437 4488422054208755090028901) (P 63))

by GMP-ECM4c,
(132 662 (12554056256865909533845007402663320777) (P 76))
(132 845 (25708981492574911995745321006367809) (P 83))
(132 711 (16369 70489 3801633865389310731820587351213829) (P 72))


By Greg Childers (October 23, 2001),

(87 297 (264829 10956433 2155583167 4137269863 1055527540416199 613151591587674689961646004448097) (P 60))

October 21, 2001

By Masaki Ukai (October 21, 2001),

#(122 764 (191870644281991351571537) (C 150))
(122 840 (2298480281821 782493427035829 80049990100689725948936231) (C 123))

#(124 226 (1581635873 4309663435922541578105041) (C 108))
#(124 249 (149173 2631281 324164273 1422701384313906926773) (C 103))
(124 474 (5581 157109 59510977796016394270003349) (C 126))
(124 782 (12401 377867557 9335010079955893 126240164350061422049432669) (C 119))

(154 267 (5237 36653 28142095615789 414068533250492402380099) (C 101))
(154 301 (7393 3493922470501 19093284544520803 16055417076465080708549) (C 94))
(154 500 (1899283849 157763357051609 3355024458862939787 5445860754125933405696884607) (C 93))
(154 820 (4865477 625090512817 119082753284614967 42768286529703056160291377) (C 114))

(198 298 (199 37535869999 1031490544813458573002941) (C 112))
(198 457 (40591 3214333 3499453 198619551415282328980021297) (C 116))

(204 153 (24795643544449517137609) (P 118))
(204 371 (109141 82084040320493969361829) (C 137))
(204 464 (96493 4836995185053474988080001) (C 141))
(204 780 (3673 1945549 567681001 156320801061002785057 5528031489412043294259922453) (P 119))
(204 884 (18875917 2150281164000829753 2156011150941205828658907517) (P 136))

(240 171 (241 5803091429286557183892416161) (P 113))
(240 201 (2696050916012555821338481) (C 123))
(240 704 (6481 16561 27361 32634776686314022930696321) (P 145))
(240 737 (241 5281 20508002004246881486790721) (P 153))

(59 372 (2243 6373 88045379735852383308649) (P 119))
(59 386 (1446091 459260603 4110761860031265011 5762760357731502425927293) (C 92))

(77 212 (155319999136717059191487403) (C 114))
#(77 388 (38732347963 9498671166386716553619689) (P 120))
(77 675 (2003 26951 213321689517467174953 4929056908890150368707555643) (C 115))

(93 563 (31 10789 176887 3388722220249 1587859467542465746838842796539) (P 112))
(93 595 (90583 2741638327 14824848916419259 122671658302413257875039) (C 113))
(93 644 (56061404850846333259837) (P 146))
(93 661 (1117 1861 15968623637059 56053602561748506699475369) (C 124))
(93 670 (6861913 321770802300598018917793) (C 140))
(93 685 (1489 91141 79068542451972554281 4782354123075788958170896318507) (C 112))
(93 735 (2051767 226382548977501413956843) (P 143))
(93 944 (798179393876214998090917) (C 155))

(98 386 (21402901046347500556589048646773046351245311) (P 66))
(98 572 (11467 3665563231683745776555756650990359) (P 79))

(99 514 (30493 3492996058992325843 39117489237603117050990149) (P 115))
(99 616 (76231 1299673 19657262601044522347213) (C 135))


By Sinkiti Sibata (October 14, 2001),

(67 670 (142979 9438833773 16609014198560073414416114216503) (C 141))
(130 102 (911 81857167833112006798005150674154793490991011) (P 50))

October 20, 2001

By Katsuyuki Okeya (October 17, 2001)

Errata:
wrong
(77 355 (2927 2657887 10365521321 2301975003672510336479 12134172553441072582141) (C 90))
true
(77 355 (2927 2657887 10365521321 2301975003672510336479 12134172553441072582141) (P 90))

Results:
by GMP-ECM 4c
(77 189 (463 572881 59927192476832886915403 279585587079898146154339) (C 82))
(77 195 (30493 556379015347 54702642664979 39647084274429889567157) (P 85))
(77 207 (3389 203387158502967671 318824560194785255803501) (C 95))
(77 220 (5196303998781281 112115692515081704202285841) (P 99))
(77 249 (62042597 205324813 239140133 168188244363574570701599573) (P 94))
(77 268 (90020239 2018283961 38675806974460598933761) (C 106))
(77 388 (38732347963 9498671166386716553619689) (P 120))
(77 497 (2003 5237 7494109547 15916458495390257267 954999076166273039734757 3973732872803583504193811) (P 78))
(77 515 (2311 297067 2726311555601887555610771 6170008935709295915198423) (C 105))
(77 591 (276277 324627966863924984107541) (C 138))
(77 609 (463 617 31889243 274248602709072915988219) (C 131))
(77 618 (15401 28521205483 30658973375743612960831 53531362692562265799960673) (C 105))
(77 763 (125186576977002030034782161) (C 147))
(77 794 (22639 316840763501882658602257) (C 147))
(77 820 (463 7393 460069457 7258502380669 33425991049991 2052825815411792560679) (P 112))

(124 119 (1861 290681173 1816712552823689 493792548612579846823229) (C 74))
(124 132 (383533 1640273 2035736149 2144098261 628695327730836877531144882369441) (C 64))
(124 141 (2357 6101297 10190693 567850313 628274959343845909963026113) (P 77))
(124 153 (276286706401 50911863552246973870787861) (P 94))
(124 226 (1581635873 4309663435922541578105041) (C 108))
(124 335 (60761 2179334613339033799078373) (C 123))
(124 362 (238949 438961 112073557 380187605053 22508210676023801 1632356044764112823660914777) (P 80))
(124 386 (1764289237 257890943538224251098991333) (C 120))
(124 437 (1834886261726879905478209069) (C 132))
(124 473 (969929 10583897 5026731761633 251062681609359233 1294362303465272945747589173) (P 91))
(124 542 (3015303337233457 349813396193816135513 75700061723713698834155912021) (C 100))
(124 546 (2867873 5693537725081779704659052761) (C 131))
(124 640 (8677527363160229417613421 195851748789336019529604921769) (P 115))
(124 771 (4522286201 68694010309889 47956730494990176506673833) (P 125))
(124 801 (2357 163061 2184881 40903436419989217127033 2620801609978988668487953 7528507886276268363295391201) (P 85))
(124 867 (1613 846673 7852570528791697 4409405178044535463103776249) (P 124))
(124 894 (270626633309481613 1422150332011521103824101) (C 136))

by ppsiqs Ver.1.0 (by Mr. Tomabechi)
(124 119 (1861 290681173 1816712552823689 493792548612579846823229 31285011117169715492698470258669893) (P 40))
(124 132 (383533 1640273 2035736149 2144098261 689411589717584890541579209 628695327730836877531144882369441) (P 38))
(124 245 (5252534849489 12475900661818933 342224048731025799533413853 29087820184544600494903868521 361606037303089033396143463213) (P 30))
(124 470 (373 206358941 14121331468796977 1023908156174616997 278267496966353515593342133 1284776870131902321807985575895236533) (P 53))
(124 690 (373 15749 6284197 921007985869 83168806417093 51592598893610041 20775427428626726303663859829 7923297600693349594738905282621230082293) (P 46))

by snfs (by Prof. Kida)
(122 106 (926142690173 1837077565193019944820064651) (P 83))
(122 116 (186566183 2766443196817010628216065826864519321041760825050857) (P 65))

October 15, 2001

By Takahiro Nohara (October 14, 2001),

(106 323 (107 12960397507 1381659037553693749 9109062282479715935689408494281) (P 70))
(106 427 (168998986055486778478145583121 19129359105148316469528932908181) (P 77))
(106 465 (743 2333 9041270217398069702207476501581319) (P 99))
(106 513 (49646797 2381136137730248335937660417 13447783478680449039983406098337847) (P 72))
(106 595 (107 332947 21029341 105890351269 1074756706502596941023 12342968105465949653671129435876747) (P 64))
(106 634 (2333 526641073024883594724524037643) (P 113))
(106 636 (829911516158256910237 1941622554048640845636009818137 1441924505500595398616526583983199) (P 62))
(106 816 (107 743 21116179380931194654917 788743754228441667185117660489) (P 95))


By Sinkiti Sibata
(October 14, 2001),
(67 307 (269 147401 340897 16628658847 15801960082213031618043071 19748967375304821667204811) (P 91))
(67 500 (191621 949391 10564212646404259 4293880623298298039172509 1621557639890610325363531096171) (P 97))

(October 09, 2001),
(81 416 (163 75979 187030783 5546013787 8504100416528274675490661179 2135488516435965820600745141735089) (P 56))


By Tetsuya Kobayashi (October 14, 2001),

(92 504 (1289 3977302877 95442100711233277774625817965333) (P 75))
(92 615 (277 1381 17475203350593596301771751503469 286654469528213830851689296873424933749) (P 48))
(92 790 (22541 7288051469297819375397883430773) (P 93))

(138 763 (139 691 24841 35443908780245924606417100396098659696201) (P 77))
(138 852 (139 437062837 4793752011453151122516075097759) (P 88))

(94 351 (463891 83155518123872923 1031231975905925034114809383518840823) (P 59))


By Masaki Ukai (October 14, 2001),

(128 482 (1025281 23114881 9981921997057 9759695461319411105436484004889276289) (P 109))

(134 468 (67 269 1609 3083 3618943897 169554111477823 12411984569954315027756273) (C 117))
(134 538 (1482577 50004907654238578246033 6752568613580158437333351959) (C 124))
(134 868 (119797 306733610193659011856263 74082329694003202306952849659) (C 137))

(136 917 (137 10337 32233 21120257 11749128337588119420409777 88470362459270020845452342113) (C 118))

(142 373 (569 3401880811070757068509 3388548077396620360549079 1610910903854907797557899067447) (C 101))
(142 587 (4261 3335581 199791480268946243708092368739) (C 155))
(142 675 (24709 202777 6583203299334829 1563562212914565037645687 26805288842382790245040141 604908218428754711105978737) (C 97))
(142 871 (8842199 230794589 1205875482442693900766999561609) (C 161))

(160 227 (260822890721 2749942065674140521956930881) (C 112))
(160 308 (832801 1712385335876161 1694024949250341705118086241) (P 111))
(160 600 (134401 178561 825704820424321 7310207986259404808590081) (P 128))
(160 874 (641 3041 114784961 74638706881 387330430469517962426081) (C 140))
(160 875 (55607846042065947693601 12247378827377397378668398080161) (C 135))
(160 944 (450371377121 103932768236927277862891841) (C 153))

(170 273 (1021 2381 9181 128551544927442401 5584623504937054029067639741) (C 101))
(170 468 (18531361 2890282718314531 1409984753305499558206743011) (C 122))
(170 902 (142773871713248605009051) (P 166))
(170 918 (8501 12593746272540649189878585094321) (C 155))

(180 323 (262981 403769521 605421569279948855453281 11271943821437112961899016021) (P 55))

(192 849 (193 733558613569 43453257387466997430343075969) (C 145))

(53 583 (107 48724279 3208357063891641750936232713630143) (P 101))
(53 834 (107 3507933791 130085670384315526555002281) (P 115))
(53 896 (107 6382189683499600717 4198215068246962386382819) (P 109))
(53 917 (107 7103 4911617 48121351 30338805752455574012701) (C 112))

(65 350 (8581 2416961707944461906923631) (P 94))

(71 122 (1582645891627847 137466286719352218380405363) (C 105))
(71 142 (569 2273 454944571 509572681 4635330556548617167106681) (P 103))
(71 499 (569 2131 29537 3537647 3614199053 386546425351 17586692233311474471869687053) (P 123))
(71 580 (853 12231081543218788665667867) (P 166))
(71 932 (22721 15215713655657 1423509863661439486071989 5892210887331085924897007) (C 142))
(71 983 (149594587 1154315648502030784154471) (C 178))

(85 258 (8926299312041 10472777018930419114241 11424288003925885081198296121) (P 92))
(85 567 (1531 3061 42828157824481 8742215573382467851 182508059490741371921 26537495427497931805821751) (P 92))
(85 667 (4281288058449235956832181) (P 157))

(86 825 (51343 242521 790847573 2236405514683 1071073035588731908998695239188311) (P 59))

(98 356 (7 1852605208250556591384175828719809) (P 74))


By Steven Whitaker (October 10, 2001),

(104 180 (313 2393 6449 1128565088546805547233143898765849097) (P 63))
(104 369 (313 521 2393 592565658403271177 46790521395496551824102156072671337) (P 63))
(104 395 (313 1267457890522571689942001 6651762470848604465212997083220993) (P 65))

October 10, 2001

By Sinkiti Sibata (October 09, 2001),

(81 162 (399311439101586837589995470593 13450529757356279302209255476727049) (P 56))


By Izumi Miyamoto (October 06, 2001),

(59 629 (13274814114538692574828847 36537729662842124950382971 7230880127526821693925059508972082952702133004552346281) (P 57))

October 08, 2001

By Tetsuya Kobayashi (October 06, 2001)

(86 417 (1563642848064017350201382983608137146211838609230239487) (P 56))

(92 592 (277 15172181 6158934228713928157813333984469617697 40723470810646414726027188135286146917) (P 38))
(92 855 (21871894374263594406398721821 1723588466866886724588792134153) (P 71))

(94 322 (283 1275026685586610483 189200339146059091341604223850195443579) (P 57))


By Sinkiti Sibata (October 06, 2001),

by Ecm4c (B1=800000)

(81 162 (399311439101586837589995470593) (C 90))
(81 322 (3 58522663 327771377028136655640460009) (C 101))
(81 375 (163 2644420528621 724448211485271676257090403) (P 98))
(81 466 (3 1427560771875809581 486172217046940363259083) (C 102))

by PPSIQS Ver 1.0

(81 122 (1297 1600203682428318523 1807935187820463126798090875137) (P 62))

October 06, 2001

By Sean Irvine (October 05, 2001),

(132 928 (661 6243469 81954973 4161238888114117520545205995926855242606637733) (P 56))

October 04, 2001

By Sinkiti Sibata (October 03, 2001),

(67 339 (269 3230620339 174156391088988257 200750016998911841 3703018420429294186225311672187 11638101583228296767161253861323) (P 59))
(67 349 (269 14757823 19745557500519345910112500003) (P 130))
(67 416 (1609 832141 581764619 75816030893031900827810512957) (C 127))
(67 462 (2011 4849041896170349312095980691) (C 145))


By Katsuyuki Okeya (October 03, 2001)

by GMP-ECM 4c
(122 162 (31721 103005616012961543641 124787798812031369582394403) (P 82))
(122 172 (29101393 62894408171899568417761 1240592060983199629015999) (C 80))
(122 254 (3539 309271 5491709 7661395954571024813593781) (C 104))
(122 278 (5935937776256935151899451) (C 122))
(122 312 (67174787 79791055167509893846071007) (P 116))
(122 325 (1831 243391 7881689 141423548261548350980581429 153670434106584574583175929) (C 83))
(122 356 (32941 470478433638655625021953 32196149611045431820732817) (C 100))
(122 386 (271939 88324156185773 7002952594290996031097603) (C 111))
(122 469 (166409 2133369295779638529961981) (C 131))
(122 470 (733 8053 1507576832438968981 662399717423371833417509663) (P 109))
(122 544 (367 1831 4283299 35256456262481158237772221) (C 127))
(122 614 (367 86743 5249697175009798970615227) (P 136))
(122 694 (8053 1217683 25981647407 4382130569783 389602614840612567311017183) (P 111))
(122 707 (429929 19956228846460609 29762599751405656251285467) (P 124))
(122 739 (367 1875054731402209667592797) (P 146))
(122 759 (1709 28549 116576779312494015970295220539) (C 137))
(122 764 (191870644281991351571537) (C 150))
(122 820 (367 5003 485323719917 974968109483 152285884753240307 22244676068321576904719) (C 106))
(122 894 (2441 7687 84100651948425645874989551) (C 144))
(122 902 (367 894749 124760650738695556815922794061) (C 140))

(124 152 (1613 22695770072813 527553219006277 795903605306736876682289) (C 76))
(124 168 (2729 15749 13296828637 2283886962984821142920117) (P 92))
(124 206 (373 10300681 120434686152905295421 17865799047450599987320349) (C 84))
(124 218 (5581 107982053 9103977854930447542789) (P 107))
(124 219 (5333 819190486417383810443261) (C 113))
(124 245 (5252534849489 12475900661818933 342224048731025799533413853) (C 88))
(124 249 (149173 2631281 324164273 1422701384313906926773) (C 103))
(124 254 (8336389557829 52481590155896017 441487631370887096221 459628929453614071407013) (P 71))
(124 264 (240117924855275253440509) (P 122))
(124 279 (39929 446822510361650958593 113643208231429868901817) (C 99))
(124 282 (190837 183892043298724731687529) (C 119))
(124 300 (335629788296737539533 76475926584101526714961) (C 106))
(124 407 (1489 7009969 36570669253290036541 43311669915015029237108513) (C 102))
(124 430 (310958432333 594410133641 106894449672363147284462801) (C 109))
(124 470 (373 206358941 14121331468796977 1023908156174616997 278267496966353515593342133) (C 89))
(124 508 (1117 16644026454279461825895829) (C 135))
(124 548 (1117 572137 1037189074824180601 3614817805943186835781309) (P 113))
(124 551 (16161645649 531814704613 139330250671821613 61310823234349617264877) (C 103))
(124 572 (769941142550605121 259171506172744501001189) (P 125))
(124 634 (80183062649 2113305658136553054922849) (P 133))
(124 640 (8677527363160229417613421) (C 144))
(124 644 (911773 47350021 33893844862748201 35152932538619709101) (C 119))
(124 652 (49459429021866764682577) (C 147))
(124 675 (2357 5953 628510482701 2433512144933 68300619680905965034229) (C 116))
(124 685 (14633 50593 3058017046095693942017) (P 140))
(124 690 (373 15749 6284197 921007985869 83168806417093 51592598893610041 20775427428626726303663859829) (C 86))
(124 731 (88661 22747429 2800793900789 12237239993937452396009 31130437151229095180593) (C 103))
(124 749 (6177628212219517 19432096212775604316525841) (P 132))
(124 772 (491380133 58278004993713748812697 1020319852556606352390481001) (C 115))
(124 801 (2357 163061 2184881 40903436419989217127033 2620801609978988668487953) (C 113))
(124 814 (4296353 115172025127695753041939333) (C 142))
(124 823 (3407273 5486381 868005435955981123130269) (C 138))
(124 826 (7937 11323681 15962521 29880690193 49392236852753 10529782381619362176648941) (P 108))
(124 831 (39363554305409 12245948504262004470690709) (P 137))
(124 915 (197161 173942737 695919819705780176312718523157) (C 135))

by ppsiqs Ver.1.0 (by Mr. Tomabechi)
(122 172 (29101393 62894408171899568417761 1240592060983199629015999 4197691484048250816298898674289) (P 50))
(122 176 (1327821740477 156461662482699230282233926607243 3180311192312939868023601590440703) (P 57))
(122 325 (1831 243391 7881689 141423548261548350980581429 153670434106584574583175929 34851687397576726574565619397) (P 55))
(122 437 (152623 398941 48860565521401 23732633705954875039969 389910638811565880165299 26296406322737161419704369) (P 63))
(122 548 (61 5003 1278439 32900473 40927951 33272337517 1223141973838363 34315773198552048354157 11849961246658012589461292119517) (P 59))

(124 152 (1613 22695770072813 527553219006277 795903605306736876682289 20629035726071408416274249908715242313) (P 39))
(124 206 (373 10300681 120434686152905295421 17865799047450599987320349 36076978724536490687077787281) (P 56))

by snfs (by Prof. Kida)
(122 102 (4759 305970398958763168444281862043818062672804396353665033049) (P 61))
(122 107 (690817596617523597217011693327215989 36395015218387178507997379956494072936489) (P 46))
(122 109 (367 14823038993307409843069882448600282667568975984771897729) (P 65))
(122 112 (2475947277423902253790229167561642803457) (P 84))

October 03, 2001

By Aiichi Yamasaki (October 01, 2001),

by ppsiqs 1.0,

(49 896 (89867 178512331346797805918662576653067 270865376056833635819210296653699161) (P 52))
(98 742 (1471 41942556853 21498902516662704817425053560151 788007017832467454344568884139351229) (P 40))
(47 819 (283 941 628673 609514314135151 274991694080127645228019 19256171695613879251954403805375275311) (P 48))
(105 181 (1218211 5708641 234713641 7693901471243151692149257231367849076371) (P 48))
(105 413 (17011 2159218364731 1750253530471412652702800701 1347299458717962123690431042448939739021) (P 43))
(53 606 (716032330692067 3702558557149867 41307368867173999 109696984486884266243951 21202122895587001547525633597) (P 47))
(174 645 (250353194559791728591 14060740435143906244789 8789201731387987929296865236377 895731736375969689298506299233410512161) (P 45))
(67 221 (3166676587884106681 18190816471065433003 1232559299054050068613013 2619896748376211936616167563 819817328870227014478180669163) (P 36))

by GMP-ECM4c,

(132 873 (1397178569908608556445192880981712213) (P 82))
(132 900 (6786008887254579649185115903073555833) (P 82))


By Masaki Ukai (October 01, 2001),

(118 250 (530293 304793876725657687139053) (C 110))
(118 355 (2114321422509953 738327835931927391581185188348259) (C 100))
(118 413 (378035904115297 260080588542162217 316315590781686677627569) (P 97))
(118 608 (827 8597599 3539779312193572420848917) (P 128))
(118 677 (1181 104297728346885820061397) (C 139))
(118 973 (5783 4691565213484787620349) (C 148))

(122 261 (367 76933567 61516890089 2316741662013709018131431 214383427061734027726193745953) (P 71))
(122 574 (309637 1792913 1311235139 231089274727 22325318330272509508589099 27990517555814337579333081971) (P 80))
(122 645 (8297 702096579571679488349 16095701269531676014019663) (P 119))
(122 713 (1971121549 18010310046480510453472991201681226563) (P 125))

(124 370 (614917 8367397 176829838541 30029237346372122397895397) (P 105))
(124 405 (1489 42533 4884978286052767849 1373301961385661473456333) (P 106))
(124 479 (334482809 31912578869 6886123169087557762820809) (C 117))
(124 527 (1905239497058477477 25709694140325767745916759249) (C 117))

(130 555 (131 911 134963481873245324274701130991) (P 98))

(134 177 (2462519 19578473 15026982633497 20448483502681999959450187) (P 97))
(134 247 (6701 42315408371911479625644331) (C 129))
(134 296 (4423 2809372981 9771130904517252562320409) (P 126))
(134 361 (269 380877313 3269963183953 9698334048518927281341930216877) (P 115))
(134 709 (3083 32563 964340360688457 11215868387180853013 5748597657196549142909807) (C 122))
(134 957 (269 27337 648038204269 216858988988158514807297123) (C 152))

(136 146 (409 102409 6208703689 396589003639608118993 5838036227554253936526953) (P 76))
(136 213 (17 2857 45012601 1856795372129 1382125734539000590347809 2974292348644202477152049809) (P 73))
(136 305 (137 409 438601 644784381137497 122911394201423902956576392441) (C 105))
(136 915 (12377 327185809 431696652280032592443817) (C 154))

(140 247 (2879369522694840201043361 3138568964271821708766461) (P 66))
(140 290 (281 701 1334508797286977335326256381 15833935526053744306318529881) (P 58))
(140 658 (633221 2870792093291641 2409946241510512211488182881 1476529275858938191729951535998121) (P 54))
(140 990 (11945641 176703521 326221421 983109863261 12342920777395380853482341 6237832958661298032249846296103121) (P 50))

(142 111 (2557 35518603 1270482778083894853193) (P 112))
(142 760 (1847866733 2032390042392707 74531683751625802782818039) (C 152))

(144 372 (577 2161 1777071596633186200689889) (P 94))

(154 407 (1288246807 1444153215121 322124265035406655919483) (C 112))
(154 561 (16733258543 25777346548631516558010289307) (P 127))
(154 564 (38039 1117579 47017604875675195696729310209) (P 126))
(154 985 (1027283089952062027161001) (C 156))

(156 364 (194222994702952177 5270062077542826391926229) (P 81))
(156 452 (607153 752722749169 17164443302831221337523807121 10045524633146704045601876244133) (P 51))
(156 623 (157 83807589346196330385846037) (C 107))
#(156 678 (13 1006656151177 11549592722617 55901541020685741463057 333756241898152083663552433 652324421087986845958735768729) (P 31))
(156 706 (3433 184081 463633 1499378998707664846838821) (C 99))

(160 110 (5333921 1189379794131041 785024193183830312507795521) (P 82))
(160 119 (1601 958541281 27725239210899521 6820879217250393943061527361) (P 77))
(160 800 (77761 242923841 10603438615367141923409281) (C 148))

(170 198 (1871 37061 79458822418546935821 3865150648850864031846802661) (C 92))
(170 377 (2664241 27690528931511 46204754021187480466351) (P 123))
(170 506 (3911 110501 419142955151 494084567209519699260521) (P 130))
(170 584 (3289852380251 3185092754306579902365901) (P 141))
(170 764 (1361 9011 2197758728066296642669358291 107653068434451848314622548264391) (C 119))
(170 770 (51511 2365580424797403301 2225712741251374370307541) (C 138))

(180 377 (10529461 173442268320661 3388665090926579392289714806261 17589718817986921500364694064901) (P 41))
(180 426 (47066221 5348584441 1613114303761 2691838793145939692549173741 8424280180709842876294515387800041) (P 36))
(180 561 (181 46148153581207226388394081) (P 105))
(180 672 (8821 24481 31510125721 34977018815149922759058841) (C 92))
(180 779 (8461 883726423060861 12931206891778089909989539921) (C 92))
(180 886 (56039994891285142861 15577048982527751196405721 308013451449677819275658941) (P 71))

(186 393 (342799 12060483103 378488406222679 1518385026200759094901 9474179840833682443758181 14328370162956688478715959831224706593) (P 43))
(186 520 (373 4378069 3469861807 4405210229030535714331 7445326787472688662553) (C 101))
(186 633 (2198528074261 4600677947654234401 10629216430540481954641) (C 116))
(186 720 (1489 319170202991693557627 77707725073931919088100111881807) (C 116))
(186 868 (373 11462010936867241 7759059218439270996732931) (C 133))

(192 168 (7489 10369 75763635256068646273 3714804312458001632930874721153) (C 85))
(192 600 (814250975972955507457 265357428313746149556481) (C 134))
(192 764 (898279709573168004880129) (C 161))
(192 791 (193 20353 143946282023041 44448195902747712193) (C 146))

(198 449 (70320154815810820812058201) (C 134))

(204 474 (2037349 376799735101 1892629121666541877 4365622414395742684501482169) (P 108))
(204 761 (755413 3830509 19494693855163716337039609) (C 147))
(204 809 (8360539330800705913274732557) (C 159))

(240 371 (87121 770401 203920668450175245152050786321) (C 125))
(240 594 (241 901018979521 234568186898328339951361 4728338858827508786153041) (P 116))
(240 660 (139637030346481 2019559040138401 21207784515024669183016321) (C 126))
(240 708 (17642161 27319083461266412342881 766524191736100961404469200321) (C 123))
(240 748 (216539083447303535173753681) (C 158))
(240 837 (241 1336561 32123177521 957946067521 122356642010175813371041 621082453433438723299201) (C 110))
(240 843 (11913841 28409281 559125599416822548961) (C 152))

(53 956 (107 24169 33981587 44272823725466952814889879821007) (P 110))

(61 368 (7902400099491943 48366997976064649598351855273) (C 110))
(61 399 (4214244651264651178887684720247) (P 126))
(61 763 (977 4637 867240090139 32680270124968201 2417887761371937686432655751) (P 111))
(61 912 (367 977 15739 331231 1919482266834624177599 36599037801247344150764341 292445198502853935108488531) (P 90))
(61 999 (1831 5857 9255409 546419213 5099919577499361262769353) (P 133))

(67 795 (24529103 417129137 104661445528399105438093413799) (C 147))

(71 541 (853 45068671 2548305473407 27424733250935536781672009501) (C 140))

(77 423 (245186789 324280603896901037596673) (C 126))
(77 583 (463 2311 35267 62987 50356769 2927316827401121 11674770932915868057040223) (C 103))
(77 651 (4621 117811 2958861089123941 7374703778432267509 136524972518294651957010114001) (P 97))
(77 708 (38501 47741 7777463 301968283 2601225123521104324256167) (P 122))
(77 773 (19753201007 56126991977880671 6277658525633177772245286481891) (P 116))

(85 566 (2784941 452132018073614249926997801641) (P 141))
(85 694 (3441597083210298373358244601) (C 155))
(85 752 (28933004651 413435308769761 6446354106995787955166063108281) (C 129))

(93 438 (42223 1075453 2880366365551 498377829631289963603203) (P 112))
(93 444 (2421498847 133789151757911380418983) (C 127))
(93 488 (373 38810945175916957905639046231938571) (P 125))
(93 627 (1117 5615298709 4273361134171669 3158764219890385984513281199 5610552779951418521625714769 220859046189401803364707903759) (P 55))
(93 628 (302507053 305712949 624100681 108125323490754186650507899) (C 117))
(93 785 (373 2791 49477 7678857232205986972861) (C 142))

(98 412 (7 4019 7351 6253145190530619431001144417087893) (P 68))
(98 874 (7 24920781805709264233954498159123) (P 92))

(99 392 (199 4231063 79339472640040248233929) (C 124))
(99 460 (52544892194356519 3341886599122718789341) (P 122))
(99 566 (321170578711993989991 259501923320170282911721) (C 122))
(99 748 (199 1126986219811 3255021121207141875007 76001097404529174234140983) (C 111))
(99 755 (199 2971 136027 91570051 42300187183 1455459163671547 8072683800553821036016243) (P 104))

October 01, 2001

By Takahiro Nohara (September 30, 2001),

(210 488 (1051 2311 6224987494755946900629144749881) (C 92))

(106 315 (227376896562102550793437907430043111) (C 95))
(106 327 (107 26501 37751784461 2828745902630387444819545507651217 42709871034537212528282945168096273) (P 46))
(106 501 (107 743 358069 565408256029707749 10644334678334295152519682462347) (P 82))
(106 697 (107 4877 92526959463000082588877595593) (C 114))

September 30, 2001

By Tetsuya Kobayashi (September 29, 2001)

(92 427 (1469021501 205223273832601 3045473627913253125375882227139961) (P 59))
(92 448 (461 35592744721 197999708449 16257760971377524096107576374625172264201) (P 52))
(92 475 (86668650280733219715527773364387905241374813) (P 74))
(92 586 (277 8741 281152598722080541685429 181949118221707647366480005470835198957) (P 54))
(92 744 (6257 445097 637822781257 70794790678361 6892302695351575320497542120544502397933) (P 52))
(92 837 (2393 135701 3068006341 2693994934763264513 200868011798192396910599503205557) (P 60))
(92 895 (317581535535541373 677663428896057953513 8008138600833093191560028328829981) (P 58))
(92 981 (1013 1657 70289 549701 2691001 13563377 4043870213 1774874175581216644088237321974823348487948817) (P 47))


By Sinkiti Sibata (September 29, 2001),

(81 346 (3 1031015254829135766378799068078967) (C 104))
(81 416 (163 75979 187030783 5546013787 8504100416528274675490661179) (C 89))
(81 755 (201508959510219570247 1332580211860770550099) (C 114))


By Sean Irvine (September 29, 2001),

(132 636 (41843190577 1275414558879266221848913263144857750274578593) (P 57))


By Steven Whitaker (September 28, 2001),

(104 323 (14610593764279766626088080121687321) (P 87))
(104 346 (521 1249 10787270751214257353 249128741440451850537372930145393) (P 65))
(104 654 (6553 65094329 100517041 116749361 895378822083409 224857852896703799508361037830995617) (P 58))
(104 788 (36713 49193 1534219632401 158910646256152409462377 871958921618926411071909271795764961673) (P 56))

September 29, 2001

By me (Hisanori Mishima : September 28, 2001),

(132 974 (1035460225282632073 100653127285577104544582605501859413) (P 67))
(138 954 (277 2953891 146667919 408928501 226192843115431901863695769595511007) (P 71))

September 27, 2001

By Sean Irvine (September 26, 2001),

(132 944 (4357 163417 25665463429 1564052939921531279571048359596753352162641) (P 58))

September 25, 2001

Errata pointed out by Aiichi Yamasaki (September 21, 2001),

False:
(104 615 (67665937 3877419210535428417744248209) (P 100))
True:
(104 615 (67665937 3877419210535428417744248209) (P 99))


By Sinkiti Sibata (September 23, 2001),

By PPSIQS Ver 1.0
(81 876 (3079 229635001 8546842909187533 27591359511680803 34564912588299325302487 645519907204279824337039840255323038571852577) (P 48))

By Ecm4c
(81 177 (163 21355202909149626459103639163479) (P 88))


By Aiichi Yamasaki (September 21, 2001),

by ppmpqs 2.71,
(130 474 (911 2731 42777541 6204994761245632975691767271 16909968092388583799477085781) (P 59))
(130 592 (521 1343681 367103101 14945859772741 17166559312472701 172076217439235590952958631) (P 61))
(130 766 (131 5591 194411295383869981 5560376679336139205252761 23367944277292862885802597161) (P 63))
(140 455 (2521 5487161 5440597158781 1858235655627715421 41954026404376666229609273925661) (P 55))
(144 452 (1873 13249 1739393117713 5064955440413808860929 5930852483579889233297224994113) (P 56))
(156 275 (13 313 105613 4612921 977549489415409 9560359818884330140894716833794317721) (P 50))
(156 285 (31395460669 436832245184176594117 138560739716953065239664331893531575159749) (P 46))
(156 678 (13 1006656151177 11549592722617 55901541020685741463057 333756241898152083663552433 652324421087986845958735768729) (P 31))
(156 898 (7177 20593 4973848756827348529 8325537263134902226462851169 97458249821669516862015038153359897) (P 52))
(168 314 (711817 1780633 6074209 109415986308721 833403805759514458690847963838313) (P 55))
(168 624 (337 409753 5119129 390962041 1618638770340821575842217 778398315171336671952851131009) (P 57))
(180 195 (233867341 469999863523261 25400251110971691743524930136617921) (P 53))
(180 696 (181 5581 5871149551750339853461 19526473112746847928481 18497522945650489841463276298151341) (P 53))
(180 808 (181 58182661 9664580521 291989216161 1532918076020373141721 8921115056635681076209916999014681) (P 53))
(180 935 (96520879981 13636570001330628908821 33206225794158245772061 303427488446313862707693529192639441) (P 52))
(87 174 (26449 228484580757259 67108657893648736129 430828815875362671050270188290806170627) (P 49))
(87 183 (523 45941823607 778852374326237991133670101 83630618244917335886269422366522639888013) (P 46))
(116 132 (233 2437 8933 857009 41517922516715833 982223826478215134464559409747798263753) (P 48))
(174 309 (4003 146857 31504781389 133722283770457 59055564284956952689 43381124227629742142590526101) (P 58))
(174 325 (27758796463 49458744667 6174460558219 83796833752389818173 14125024433887939231025676361) (P 59))
(124 832 (15749 166657 316963841 84984343279922514317 169954138279358417138657 9397579614189906307200141013 14074195567671326502084724834777) (P 56))
(154 146 (301797466553507 5500308186396173778064207 25817933661665132990066624099 32321854474472943449662121761) (P 34))

by GMP-ECM4c

(132 962 (4898058876877 48826024277967931007228356468273 4669586061335403185855442329827539049) (P 39))

September 20, 2001

By Sean Irvine (September 19, 2001),

(132 846 (1160252950948941037 617933956127052524287223649083757823969) (P 61))


By Tetsuya Kobayashi (September 18, 2001)

(98 340 (197 3158415493121470970333926660521251110718501026192777) (P 53))
(94 670 (8071150180489654808507638916321837 235793440480956792569055415977942529) (P 61))
(104 119 (6016532826699979615025963789254460083434975313) (P 54))

September 18, 2001

By Sean Irvine (September 17, 2001),

(132 672 (107888415772369 48406950628054123426458195668193379357) (P 62))


By me (Hisanori Mishima : September 17, 2001),

(132 616 (29173 727717 1728946491959876709393081319108141) (P 69))
(98 742 (1471 41942556853 21498902516662704817425053560151) (C 76))

September 17, 2001

By Takahiro Nohara (September 16, 2001),

(106 552 (107 410009 19479727 1737748698543044681443829792183) (P 98))
(106 698 (65022832821617831903330984579) (C 120))
(106 882 (107 9859 351497 7361171 15433035471814972256616721644181389107) (C 98))

September 15, 2001

By Sean Irvine (September 14, 2001),

(132 965 (1156849 1250701 390616249 2785740143734462806147682442796443939436613) (P 57))

September 13, 2001

By Steven Whitaker (September 12, 2001),

(104 254 (11933228667361 470900079517082210439919138246483779217) (P 64))
(104 255 (54141314099009652302432874797173009) (P 81))
(104 279 (128905921 274540843982404651206169390734089) (P 77))
(104 298 (117794830043593 329393383697223068743957618013249 1014668342028658703746939410460749641) (P 37))
(104 303 (2081 2393 6761 625158263733664331633246963859337) (P 76))
(104 628 (937 76129 436570577 5867921641117846142936377 16413920252315191844771778114445889) (P 59))


By Sinkiti Sibata (September 12, 2001),

(81 548 (487 2269 644599 1060453 227951526635983 21693766395534933072036493 7840388441383277184859605718267) (P 60))


By Sean Irvine 
(September 12, 2001),
(132 938 (9954279333777438783289 69943279933105911085059919305474601768679413) (P 54))
(September 11, 2001),
(49 893 (197 10846406453157101 14515082255068596119424611249881630600632689) (P 63))

September 10, 2001

By Tetsuya Kobayashi (September 09, 2001)

(92 703 (277 13504162714010980350930678884931732817 367472781176337245813426617864394276401) (P 48))
(92 984 (703971857 2884458613 515614927176070856861194139188921 2236271115939608805223065035443609) (P 48))

(94 369 (1223 2633 440579 176904899 6291196426215346469472165753450081013) (P 61))
(94 390 (1028737 601729076123142672272573490571312621) (P 78))
(94 660 (421121 475421735165659336319197793711) (C 95))


By Katsuyuki Okeya (September 08, 2001)

by GMP-ECM 4c
(122 135 (12323 4823149 740063957 891913819 902959829493145575301) (P 79))
(122 150 (13177 316469 150909567191383181934832753) (C 95))
(122 176 (1327821740477 156461662482699230282233926607243) (C 91))
(122 194 (4637 521063 31655858889547 688171308900063029 3347155109102221286599) (C 76))
(122 224 (977 270719 9915770992182196439 251010517443696563070127) (P 91))
(122 236 (395159 252190616767 1500692809463699 6619866898465682784641 14493276163367392815303586307) (P 61))
(122 303 (367 7321 35869 211061 2395458708170893279289) (P 112))
(122 320 (367 43396284623 302783115435345465234089) (C 114))
(122 329 (47581 3655195245606548948996777) (C 122))
(122 333 (10859 24889 503667033577 10348445431913720322050653) (P 107))
(122 377 (560210341568987999328073939) (C 128))
(122 389 (4271 320432231814307770304873701817) (C 123))
(122 428 (3106609028723343358041347) (C 134))
(122 489 (10025485787 124626571218827156699692853) (C 126))
(122 566 (52231846739040425857831) (C 143))
(122 567 (772945697129975846185123) (P 142))
(122 574 (309637 1792913 1311235139 231089274727 27990517555814337579333081971) (C 105))
(122 578 (7321 4331129548873 47692182228291858317233729) (C 124))
(122 584 (4027 107971 108701998448928095733131 2079050861241131941160293) (C 110))
(122 616 (412849 376293174364087454691551) (P 139))
(122 644 (7181897 73289773718623057 6405713290110563276529883) (P 121))
(122 667 (1709 9240769 18121759 1182756339338211128393703529) (P 125))
(122 687 (367 2984731 101669189 777901927614187 840996695507832171556020011) (C 112))
(122 724 (1565514210995059735733 48574379003476057951221517 473185194455704113550093938489557) (P 93))
(122 819 (8419 107971 1373233 2863455169 174242530487 799029242942207023 601940431545426954424699) (P 98))
(122 834 (1658383333 16811529607 3255110494487186271862931) (C 132))
(122 856 (577427 128697100599851566766623) (C 148))
(122 867 (196177 11374549 1793873971 89189962087 4326912666697 74218916687047154523643 363887148970099795281763) (C 85))
(122 882 (13177 39041 5760146849739954827 263901613670210962109849) (C 126))
(122 915 (713002329803593398643127237) (C 151))
(122 922 (4637 897067 1320773 229548857 2732666055886097573624718703) (C 127))
(122 923 (367 733 729508884197 13441278383926123 483357318434812371223 6362527560221837199857) (C 103))
(122 934 (32486330492161952203328149) (C 153))
(122 962 (733 689827393190066638026017) (C 153))
(122 998 (353336129118145768910384383) (C 154))

by ppsiqs Ver.1.0 (by Mr. Tomabechi)
(122 194 (4637 521063 31655858889547 688171308900063029 3347155109102221286599 46482440742563779159006783605405131) (P 41))
(122 867 (196177 11374549 1793873971 89189962087 4326912666697 74218916687047154523643 363887148970099795281763 2417640786477119521733513193771106698859) (P 46))

by snfs (by Prof. Kida)
(61 129 (4751779 334921095626693 4714337246649694263715348197650383277) (P 69))


By Masaki Ukai (September 08, 2001),

(105 990 (195511 17545982161 188818970551 1368195317371 2264109091582205686945941265081 652191710302939684044389898447451) (P 42))

(112 341 (7057 31873279161454457839356161 470226044619802889346263329) (P 66))

(130 329 (131 3462148171 19066398778382778756736870211 5291910486524254499225060906191) (P 51))

(140 394 (4621 5741 439260641 57707209337486779547989261 81401072722706500657075833993721) (P 51))

(162 734 (3 163 880214133313 28374573662795310121 4712307082849209096473887) (P 96))
(162 860 (3 163 12095569 148102752308354119 2747432984725520389684513) (C 108))

(53 360 (107 116707 42103398182689 125981699871066054059010703632559) (P 81))
(53 506 (743 15058838526687651247 586024034120239971539438567) (P 92))
(53 938 (6361 98369 17778533 3527771157665110702965500315183) (C 108))

(65 209 (309886867811872781 119748421708480535621792831) (P 68))
(65 466 (1171 1301 3121 27431 17663342815310552621 134583558722611641883431361 26674791822835077189402916471) (P 41))
(65 932 (131 521 3907713140522172513567751) (P 114))

(81 811 (3 487 4051 1488013416057595032829 12728874286475009902859031253) (P 102))
(81 964 (3 10614727 47601793303692331339459) (P 131))

(86 869 (173 84137929 31838195019980710006798764974592163) (P 79))
(86 930 (217528111368764251918916738687) (P 96))


By Sean Irvine (September 07, 2001),

(132 867 (6337 27286249 851120161 265553762269823709921090588546530118173285929) (P 53))
(132 908 (49369 4868557 117724507429 12646667376447240552573416647897393534156189) (P 53))

September 05, 2001

By Sean Irvine (September 04, 2001),

(132 767 (15973 3895453 28874869 3293925888398656548360197906113973951418338820181) (P 49))

September 04, 2001

By Sean Irvine (September 03, 2001),

(132 765 (66529 13940411075977 1182889321151867688689213792292490261) (P 62))


By Takahiro Nohara (September 02, 2001),

(69 870 (36456703 59084563 30632146734029851 302217938617838234737247426397390948661) (P 60))

(106 213 (29582263475800612475675460659) (C 93))
(106 258 (2333 146917 836228935639 17094079257800434562697137440133 2086238484439923441786399089525269) (P 41))
(106 308 (107 12721 2189219 61914074148498117883 51857730755550587540087348823282319) (P 63))
(106 990 (23971336585743412562268450752807) (P 125))

September 03, 2001

By Masaki Ukai (September 01, 2001),

(116 204 (1160910957011869095359229193633) (C 100))
(116 573 (929 282617865619425915982541557) (C 126))
(116 613 (6961 963871218241 410987033003744777 8849624278148606738565394781) (C 95))
(116 763 (349 32127786343153 23020279008125294441078501) (C 121))
(116 963 (233 658649 1389217 68766180740920421981 1438565611110807459834629) (P 109))

(118 579 (1889 76033028531091563565899) (C 135))
(118 869 (2646269 361692861793 938362237761908456446954843) (C 126))

(124 603 (2245317620526280709490397) (C 143))

(154 272 (2927 3598519 2093044681916755233437 37472993574017951389903) (P 93))
(154 554 (617 13260479 107065123546613 446280326672951 207882445465430806190346073) (C 100))
(154 627 (4621 126743 171403 900130628321 29591123720857096735149737) (P 117))
(154 711 (5237 218989 9740350621 1694292889302073412507 3239308449179823453699962543) (P 104))
(154 998 (11117892017 10206134189721163 125905711457504643895847) (C 131))

(162 316 (163 80199073 27654146816275822292141851) (C 100))
(162 897 (163 2917 17826157 83894981473 1005422983183 47681470152703 1395421873133143357611523) (P 86))

(174 689 (349 7005954456181 8220876205044668812525519 109204436583241414989520393) (C 93))
(174 754 (349 1567 129631 1025209 247903020532423187120310493) (P 118))

(186 319 (294439 661603 382923276499 3242584078566479104980799) (C 103))
(186 558 (5953 815543010748617865999648183) (P 135))
(186 575 (3163 21391 2781164637859 426588642361279 94761951427201327 1455134088956634970918258453) (P 87))
(186 853 (1117 4651 2978419 2846275252687592331974323) (C 139))

(198 186 (199 2445020029 435379140408846487482417889) (P 98))
(198 287 (204931 5402211340178062130004307) (C 118))
(198 513 (397 48826614178480051 401740160061807027696784231) (P 117))
(198 556 (170120235158677 875533908948733 7461874954670653243 1224650084412189447541 3915767377404069273570331) (P 71))
(198 921 (82238588367126017976469 2196190314099373216952647) (C 131))

(53 480 (107 1946578171 18616734611278394871778109 795862122408278736186180331 705263255458574683036047607558991) (P 44))
(53 918 (107 11131 46211166428350672944996140293) (C 120))

(59 442 (1806904371712288411850167052258557) (C 121))

(81 642 (1297 3230407009 21165856939009646567398228627) (P 111))

(86 895 (428797 22378198709730913955191124131166091929) (P 81))

(87 527 (21577 31215427 1048629900425758366060627396927) (P 111))
(87 660 (523 11833 11628740509 72246743471143889441149) (C 119))
(87 798 (89611 124722679 22197249160730684712631 72532885798841475984289) (C 105))

(98 534 (883 54847777230891917707 63314953378150963413856895872091) (P 61))
(98 638 (197 80766001083524411923795755817) (P 87))


By Katsuyuki Okeya (September 01, 2001)

by GMP-ECM 4c
(61 159 (9029 46005469 788083032601977967 48047795568074091933653483) (P 77))
(61 201 (18460187 47517453250207 302081435942012950313 15239002716858962831514335987) (P 69))
(61 290 (1709 8053 12689 17569 14279956338236955109009223) (P 108))
(61 292 (367 11933431 24447337 581710719937423852625689501) (C 105))
(61 304 (8419 2096145024489622427 364899661501220215778755828163) (P 98))
(61 320 (38431 99898991791 373413044093492349911 38094981601436651641047841) (P 89))
(61 442 (733 1831 3845441 686288746210737150641 58853856577400504864953) (C 103))
(61 445 (3469559 12859411 1940098291 326472371831726064033989) (P 113))
(61 518 (367 20773307 607460090987594631392796797) (C 127))
(61 577 (344827717679869 2339092376149931829648629575913) (P 121))
(61 664 (112363 52771629513324876280663879) (C 139))
(61 744 (27817 22439003928496679359521370441) (C 140))
(61 750 (538479941 529511568721 1257792331635347354516603) (P 128))
(61 752 (6674965668766019746410239) (C 148))
(61 785 (13729915982735468706481917119233) (P 143))
(61 798 (367 81619 2014230943019483 21882980984251197091659187) (C 127))
(61 804 (82035851 46607750281 91867176288743 176841164687366560476989473) (C 116))
(61 850 (4271 24767 2981616683 2303907018050587 240152918275251959668109) (P 120))
(61 854 (367 977 236681 817889 70728645663132425873 8176731441781759113156863) (C 115))
(61 864 (94258067909 3546332814331230653) (C 147))
(61 914 (106424245727 199324612344289 1500811887391903876901362253 44455053516191029746062388773863) (P 94))
(61 931 (58856813557 10352299513837536545545123721) (C 140))
(122 536 (733 32254727 47186551 11636219558609545814801493266047) (P 115))

by snfs (by Prof. Kida)
(61 122 (367 556687 179846911 615421546589278777688593289616283204668507979479679) (P 58))


By Tetsuya Kobayashi (September 01, 2001)

(92 473 (96074912279057464878928085351367737) (P 83))
(92 486 (829 641583539206544197 1860195431697275585141892613549) (P 68))
(92 620 (3015301 24725137357 92804040839968599713708741843908381) (P 72))
(92 709 (78569 275669068267199947863541180177628189 992175277558108381191080297287837757) (P 50))
(92 877 (1350888529668402507832288830906661) (P 97))

(94 362 (283 2192973222499 8417202071434909596014006503893426425538911) (P 60))
(94 371 (76793677 502464841926626343883505067094335446391556918379) (P 63))

September 01, 2001

By Sinkiti Sibata (August 31, 2001),

(81 114 (1459 16969177 8235204391 5241500873805312100973285189223571) (P 58))


By Sean Irvine 

(August 31, 2001),
(132 690 (19986341151029089 176594033115357001619232138730958133443612761) (P 54))
(August 30, 2001),
(132 680 (932027943199057 161102576026005423359190071500116308135029) (P 58))