old log (Sep..Dec, 2002)

December 31, 2002

By Katsuyuki Okeya (December 30, 2002),

He has finished phi(61), phi(122) series with ECM B1=250000, 700 times,
now trying phi(124) series with B1=250000 and phi(61) series B1=1000000.
And with ppmpqs, phi(n)=60 series under 100 digits,
with snfs, phi(61) series under x lower than 400.

by GMP-ECM 4c
(61 280 (31721 489343 227798692313 44650130826576115637763451 2781673577820659400248923083259) (P 70))
(61 329 (367 398290888321463 353605826738036740876097280641) (P 105))
(61 341 (1831 180073 136487623 204329716159 20638488479692381097456397011) (C 96))
(61 345 (22595743 20978187621791150497 832347444284033791363075948741) (P 96))
(61 360 (73079 202277 32136742020770395728876779025001) (P 112))
(61 401 (3539 21236034311 1968867914734445588310048215759) (C 113))
(61 423 (367 58073 162017 3614129 40923749481319 47369551771282621 22309266976670513120677190465809) (P 77))
(61 428 (61 3539 353900773 21477716179583 186405691267288768848922552349 253153833227451583518053841959) (P 72))
(61 429 (733 64783 70342639 8294268319069 40416609394097160654433214147) (C 101))
(61 436 (15739 15105919 25966908265141 214546878202216246080114055475546198827) (P 96))
(61 450 (669775431359749139845911438166217 128403799540347506533968216663685635337) (P 89))
(61 464 (3539 13137571 155573732467235812985352407641) (P 121))
(61 466 (74206257316818803867 5346697183130245382603812549 1425825934268711252326773431093171) (P 80))
(61 526 (78691 3908639783 7137524331264013 3190654904209508357377523 642068649725860413964833611452889) (P 76))
(61 533 (290971 1666935380111 4547167070635417637 4897529555453669298791415223) (P 100))
(61 647 (135787 32410643 53299626999778320711648311887930455197) (C 119))
(61 827 (52513692150367439681125889464283) (P 144))
(61 988 (1709 10859 5921759 3066454806423424289182105037 183737321066474294940816373315829) (P 106))

(122 152 (46244813213 2701667231354092354358832756577) (P 90))
(122 165 (43067 2302440432199 169601270953546005214006567) (C 90))
(122 174 (145547 30028192864735873567259820473) (P 101))
(122 177 (367 733 8663 101627 5181194089 169534605010622971432472183 2647893193033466457051667843) (P 58))
(122 189 (367 34283 835839569 86788461871 7937147066328600533905672183 33295986563468188421478939139) (P 54))
(122 206 (31477 703819 1944071 292321639 3462969088649509 2560764420853053821018400211) (P 71))
(122 213 (38064656787376981 1818809142785021010717869753) (P 96))
(122 232 (367 733 4960482617484901812111958758323597021) (C 100))
(122 275 (16349 45956653585077623149306335426971) (C 111))
(122 278 (5935937776256935151899451 27737150531870212890552681349) (C 94))
(122 292 (156961297 133760541826123762735530112244857) (P 108))
(122 304 (61 367 733 1831 5857 72103 12955669 7634956245891880635709029963587) (P 92))
(122 308 (367 1804381 2848195849030213494877 41589276280905445696586872726009) (C 88))
(122 317 (313533345562220812986110746991953) (P 118))
(122 322 (9554440127 39498949860079 871212917466127969037554328141) (C 97))
(122 323 (9883 12323 485476553 1078928540077 55497195658492649207011186411) (P 94))
(122 330 (17554657303471 168235124642163277500373231381) (P 109))
(122 337 (2441 57097 60551336619294635357905425013) (P 115))
(122 358 (367 376127 6852037872055547423319216306679) (C 115))
(122 364 (2754532838441 6243264303460015119722340719927) (P 111))
(122 372 (367 733 3539 27355438289 79865981568236538126715360649) (C 106))
(122 375 (34283 3363541 914049743 1274440793 23545579226747604300865051849) (P 97))
(122 397 (72058967829259 25983830204400366994341965903 388148129011397467579301001257) (C 85))
(122 407 (367 4271 8663 10859 2142239952936002523381683683172053) (C 110))
(122 416 (21662687 1881778607041309 61092695300029636238015063639) (C 106))
(122 421 (733 4759 51241 3310228567424847682317193448579) (C 116))
(122 427 (79423 3622920907 568036765132891208146461470712253) (C 111))
(122 444 (12459683101 228843392458633 42052099839658855300056140773) (P 106))
(122 450 (3539 6492661630633 141743227737518958456345379 255292683278098501995680057) (C 91))
(122 453 (367 4698791007178708958131 457807258833477988041427804289) (P 106))
(122 454 (441021520391 28309589798636610512003513381) (P 120))
(122 459 (12689 273281 272572889 2279624650065311 43868659499191028771 608405849341417992115450725349) (C 77))
(122 471 (194006963 4396814429426519682719 12353020171092981741037322134493) (P 100))
(122 475 (25080883 115892820654177175668799556532481) (P 122))
(122 476 (367 977 1709 79423 23256251 31393768406158926161 731141687029620173305969) (P 97))
(122 489 (10025485787 124626571218827156699692853 3720819651611127869303766426421) (C 95))
(122 497 (2130268878679233782201274089) (P 135))
(122 503 (977 11412719283191673881490341027 68245305648645108153516603494267) (C 100))
(122 515 (733 1709 1510361 4093812136327 12642964030739206187045510740943) (P 107))
(122 518 (53496568034833720436265924061) (C 135))
(122 519 (105757506577 1473885751130359356354053452679) (P 122))
(122 531 (4637 42457 7292395427 2512776004990119028697540177) (P 118))
(122 532 (3977933 497040110509433486837018017) (P 131))
(122 533 (12689 4778546308897 737387979171516317622519640459) (P 117))
(122 550 (733 1878158060161818163777934268323) (C 132))
(122 556 (367 3539 157747 4243039 1091187183408004771361557714993) (P 117))
(122 560 (48712771 4891346611 163709909505026858941568770849) (P 119))
(122 565 (194039673739 3327858190786722811012244295787) (C 124))
(122 570 (367 7321 42602430623 8109000010157 313494990601123 1366422433451498135719 1818275231180488781861300687) (P 73))
(122 584 (4027 107971 108701998448928095733131 2079050861241131941160293 4868602819412814609321027246451) (P 80))
(122 597 (367 28254767727274731172927451) (P 139))
(122 598 (5197079099 108273847278853 1696329216729655824771988695991) (C 113))
(122 615 (8053 58439 66289328275504931966226661 721922737418190687825050261) (C 106))
(122 628 (367 977 634342954516233293 2976587584112287606840366331) (C 118))
(122 630 (27817 182099405494111117601521 750059925544122802873433831 223871757378246604691940372043) (C 85))
(122 634 (99431 309698099 2137254439 625317782390191286588628058297) (C 116))
(122 636 (3143696834794151 46986683988361609 7802505343670814503881683784999) (C 106))
(122 677 (5857 24889 1772783 7177627 2556134205079267526269415543) (C 122))
(122 679 (45263 824477 113940443948833577096955460001) (P 131))
(122 692 (57255256993547 7070838029231247582463478680987) (C 126))
(122 701 (3448004182093390427 3039474192758915140583819) (P 128))
(122 721 (977 1709 12323 494101 523485520559028923970288296479) (C 126))
(122 722 (1044931 77568577 199155851 417556352423057 502452109791176637073 2386212039099935376485085577) (C 87))
(122 736 (48637053629 385225451077529543280181891039) (C 132))
(122 742 (188957820076236839489840753 20075183687363505150835863077713) (P 115))
(122 756 (22937 274867 16170421052189 52545870062826752164991759728019) (C 118))
(122 757 (103091 161773 337697 8706008693614182788013510553) (C 130))
(122 761 (367 13976399136023461 4238111767283098907806852354789) (C 124))
(122 766 (55578754394803116425953365040271) (P 142))
(122 781 (977 23669 40993 66122734126135109 3195184873606132712538458669449) (P 115))
(122 783 (41603 420047 9001157770207 155525449975595770909 200608930857246246168814798741693249) (C 95))
(122 789 (86011 491522084857 22548370163935038913009613668153) (P 126))
(122 796 (3441339059377 1813926809545695735000700339759) (C 132))
(122 807 (1831 43067 3402701861865636129063724769) (C 139))
(122 821 (733 3421528309 7613632397608991024115628464809) (C 132))
(122 831 (721387 3146946667564731433 28519874886355495030864804981) (P 123))
(122 871 (162180457 25891613684177660642607701419) (P 140))
(122 877 (11170268442313 156351092471055731 15793663096397763119168682593) (C 119))
(122 886 (733 23669 687558515759 30061303050978811771 125352002804058791015298524778587) (P 107))
(122 887 (83449 16640191 12541351918765725480424614319129) (P 134))
(122 888 (977 47947 30952368803 24995142232359609841346298028499 313988299456925121058068841609151) (P 95))
(122 898 (170801 487757 695245183 695342242398111264930019 84619650886585299846298381663) (C 105))
(122 919 (56731 9851867 116041979453 1756537387575942281798391263) (P 128))
(122 920 (4271 437968499305477975822241 4662304402668418701886427993) (P 123))
(122 921 (476415041771486472405797663 5850013878651492849362951633) (C 124))
(122 940 (1683217897 30453580548059 54519679806425908416172260559) (C 127))
(122 941 (112241 1141902281429309 1123061049789234220645831113469) (P 129))
(122 942 (736814390597 54563191176684439432991) (C 144))
(122 943 (571268575869632962189374967) (P 152))
(122 944 (40421648903 7963190285807 8793803987630015848523 74187279517585222986180373413409) (P 102))
(122 947 (4271 8663 16349 3620642627939255812008133943) (C 140))
(122 953 (11535713111136878847503767749197302447) (C 142))
(122 956 (367 1709 68115163 12510676042943072017 2402101237598204443883095169) (C 119))
(122 981 (367 3920471 5228921 291536453636522202660323 837794079275397921224503) (C 117))
(122 987 (367 27817 161773 1053352271 223466997889 41198496168633929155717 123954137108406261748136415901) (P 96))
(122 992 (7837296665876595838926843205817291) (C 146))
(122 993 (977 44447041 304815293 3620600101 45188215668400371901069743197837) (C 120))

(124 129 (373 1801507993910033 544941437217527195104963493) (C 83))
(124 130 (178067791056946503224711257) (C 101))
(124 155 (1341304759852969 24599137145997273737741001305979961) (P 82))
(124 182 (217860588509732180574475045357) (C 107))
(124 187 (115154461 38034282631622574417317213) (C 103))
(124 189 (3580163015812506521 18794514077537123932801 36007215685777743435628141) (P 71))
(124 201 (1489 14449932631550063068790069) (C 110))
(124 217 (934558074451326697 19327384097276076616598221390529) (P 91))
(124 219 (5333 819190486417383810443261 6760189045720512146852133349) (P 85))
(124 222 (7193 34556569 332008827315440177525228873633) (P 100))
(124 228 (373 6449 781502612111691043814873957) (C 109))
(124 237 (373 2528857 438336356509 39849699842633 1090263079469741354488161577) (P 82))
(124 241 (9741937 789513953 384459378232402748799088227161) (C 98))
(124 253 (7711189 3330148907625804109218197857) (P 110))
(124 306 (373 29389 672949 24526364595110333 6656313170731004052557228989) (C 93))
(124 332 (4922336117 11308768753 109509661978069 1775221888122298188444917) (C 94))
(124 363 (617521 5244457 49028981 78740860104659697649009 17963430526930500995874692381) (P 83))
(124 370 (614917 8367397 176829838541 30029237346372122397895397) (P 105))
(124 395 (4427540913432246563605008041) (C 129))

by ppsiqs Ver.1.1 (by Mr. Tomabechi)
(61 341 (1831 180073 136487623 204329716159 20638488479692381097456397011 61885705607527335405826914120430441749487872347) (P 49))
(61 552 (977 101627 418339 944365817424587 1870228926335261 200980662675993477282671 9363058105218140499939915374076529) (P 64))
(61 749 (367 733 6833 2090593 17007648023 629590661227640845793 32234514505100282835805057631 351838426890062054185480529766828699285565517) (P 53))

(77 105 (617 3478813339 11435087033987 517577081348773924130433026663885161) (P 61))
(77 207 (3389 203387158502967671 318824560194785255803501 314283918391109949742897844448361385813903) (P 54))
(77 217 (5335225283642216117 443635359777811920837029143 4271947295492828987599526543688547821767) (P 56))
(77 240 (10627 42967 107339 75996214603 65905168546039743229 44773565875078701063671269) (P 73))
(77 264 (3851 38501 105258349811109419 12042058096877627735713259 20824252943328064371389759544419) (P 64))
(77 526 (26951 4950331 208498753 397035409 12598935545295331 553331322627038749949 8429978820887357248046650273 107959136860453546080356755781509) (P 39))

(93 147 (829561 630801517 497659456968919757509 41621765514865746694696990201 215508273926485731557474042113) (P 37))
(93 201 (1062754339 3091061833 3569359741115094593332711 1476039102248901329625820977271) (P 65))
(93 252 (373 113089 39296186854429 38240813218840567420418254093 37123138827142712012701308511915224384743210773) (P 48))
(93 267 (373 1117 3163 16741 478579 3919393 1054841702076752616379027 130896906346366423294233444771674029726133011) (P 52))

(99 108 (2614393 39208357 3097211645089 1503332239405658078352974261257) (P 66))
(99 141 (2179 5743 1475981893 2650886306600083003 546956763790621090521860829342001) (P 62))
(99 231 (199 454213 883997218963 1334418305023 167564067460219 11227983395969993563488308743) (P 68))

(122 165 (43067 2302440432199 169601270953546005214006567 1515976723208440274548162228294489) (P 57))
(122 268 (40993 577427 23096965456049 13155091076924127392246021 3631925061226799538018785453459340763703) (P 58))
(122 278 (5935937776256935151899451 27737150531870212890552681349 4668519547529318216494866812373768394811407) (P 51))
(122 308 (367 1804381 2848195849030213494877 41589276280905445696586872726009 284147454431794123161715329966484513) (P 52))
(122 310 (15373 922321 452206481398809217 571869346987472944727981 112602580928024840081011514827157840268720371659) (P 51))
(122 322 (9554440127 39498949860079 871212917466127969037554328141 19532684617923585916344898264283573) (P 63))
(122 397 (72058967829259 25983830204400366994341965903 388148129011397467579301001257 469779054005039987913386967122113) (P 52))
(122 450 (3539 6492661630633 141743227737518958456345379 255292683278098501995680057 279579795739102302800982170434621454570137) (P 49))
(122 459 (12689 273281 272572889 2279624650065311 43868659499191028771 608405849341417992115450725349 4605194051757526754845323909037) (P 47))
(122 489 (10025485787 124626571218827156699692853 3720819651611127869303766426421 2688825782362203713460820949641159) (P 62))
(122 630 (27817 182099405494111117601521 750059925544122802873433831 223871757378246604691940372043 2999408630813777647494172819071611) (P 51))
(122 722 (1044931 77568577 199155851 417556352423057 502452109791176637073 2386212039099935376485085577 151267419437316132975261775614173636422561) (P 46))
(122 783 (41603 420047 9001157770207 155525449975595770909 200608930857246246168814798741693249 479095694938426606142674004499939927095183) (P 54))

(124 129 (373 1801507993910033 544941437217527195104963493 374317091251570971451332197273) (P 53))
(124 279 (39929 446822510361650958593 113643208231429868901817 3081398042559096052573117900433816494501428953) (P 53))

by snfs (by Prof. Kida)
(61 202 (29787997212868269848348048788931774699) (P 101))
(61 209 (367 21107 39041 50387 823013 543703313759 171039887784942812093258045233523) (P 74))
(61 215 (22571 653311 5263237297547894020403 3685356908946503219964619109295652731269) (P 69))
(61 223 (527936362674881 1913281042305211 46383719907364198176832740951373404986284078202942033) (P 59))
(61 224 (4027 281776142928992040888454237 9646927076769449418697265564247360856670599) (P 68))
(61 227 (224541503979615023 375658522457446726217 140428279975164073217417845807167036976346279) (P 60))
(61 238 (4637 8297 1267446851012947066001683930563479806039564632216981109402475221) (P 72))
(61 241 (17419852131689837617497653045041754251902279507839) (P 94))
(61 248 (8053 40310807195995461584570734332022269679) (P 103))
(61 250 (1831 57402854474643914394968940293250151) (P 106))
(61 257 (3942483898090992238639391618668722883 18472344262112590684510965657716027559756229) (P 65))
(61 258 (367 4149483733828784846840104011587266651802203317439628260754952457729) (P 76))
(61 262 (3676648072646788980874699720797775273783867389388409414427613) (P 85))
(61 264 (291207632913974878656193662058983977623352323092821829358653301661) (P 80))
(61 272 (10859 293185647381879152169849579155073537194018057) (P 98))
(61 282 (15739 6172885717397048578084782458586297407) (P 107))
(61 284 (145865775379776514717558654245611925751566250471237887623981525764427891) (P 77))
(61 291 (295110717971355543801628418893474295418103175645929) (P 98))
(61 325 (33971494178253304959270031222600517) (P 117))
(61 370 (108367805270129935494881276562958588026152725153853421682555927727) (P 90))
(61 394 (2811817433895825332467610862739969 872425738099333153010006596505328315764124538867) (P 75))


By Alexander Kruppa (December 27, 2002),

(69 618 (3357817 27844383600733509315058430279616712117) (P 79))
(69 641 (15319 14826349429303806247197227430522843842041) (P 80))
(69 652 (12697 2311363 5754237536788552012927523894957552673227851279) (P 68))
(69 660 (1933 4750651 3222150904871510379083339257799682200750282839) (P 69))
(69 662 (1933 15733 597891064411 3417030275896266380022390856228308419293872606019) (P 57))
(69 663 (139 6693540352102963 248749394460340408830506724101728498957) (P 68))
(69 672 (430163552292841093 3057628432394567406504300041469048225988211767303) (P 59))
(69 688 (177046988023601626400748914058469375330192478917351) (P 75))
(69 695 (39452621104464550646686840077865865756679866106408739) (P 73))
(69 699 (139 12421 201018183632769460863572331264644059709211250951) (P 72))

He reserved,

(69 700 (139 321458065845295418563) (C 103))
(69 703 (269377) (C 120))
(69 705 (84181 1496749) (C 115))
(69 713 (63150015324120336013) (C 106))
(69 714 (24438764513716830133) (C 107))
(69 715 (139 641287 3488227) (C 112))
(69 718 (967) (C 123))
(69 720 (139 21391) (C 120))
(69 723 (139 37951) (C 120))
(69 724 (139 669509333605004888473) (C 103))
(69 733 (139) (C 124))
(69 738 (1381 7375411) (C 117))
(69 757 (967 71209) (C 119))
(69 759 (188611363 17746268591533) (C 106))
(69 761 (139 277 686481967) (C 114))
(69 765 (829 7039 530708947 1585270171) (C 103))
(69 781 (139) (C 126))
(69 783 (3313 7169398909 22647569851) (C 104))
(69 787 (3547429) (C 121))
(69 795 (277 25117 4337479) (C 115))

December 28, 2002

By Takahiro Nohara (December 26, 2002),

(160 106 (88330175147144880631482881) (P 104))
(160 124 (406952498533121 4026863948915031103361 521968872068277269848625761) (P 72))
(160 139 (512641 3405697441 1383574695545647657544491645601) (C 92))
(160 141 (160613897330824889396321 2381225270298440515300358694241) (P 84))

He reserved (69 703).


By Sinkiti Sibata (December 23, 2002),

by PPSIQS Ver 1.1(Linux)
(198 112 (37423 37160047 122053339 32516971741 2723041189641464193974581756159921) (P 59))
(198 132 (18217 4641129109 865312754980746053024209 282802221810949506655631401) (P 63))

by NFSX Ver1.8
(59 200 (1063 8517359 24151539553 680944098711511 2626285785719807622968555751200813327) (P 62))


By Sean A. Irvine (December 23, 2002),

by ECM
(71 461 (1279 2699 13102942946904971071 2268475656451686707052224123) (C 134))
(71 462 (2278473665203793 39657531233778446758873669) (C 146))
(71 467 (137438884282470179 4774496457892563531840600210709) (C 140))
(71 470 (853 8101669 1136103364073 522429854329646684382987571186309) (C 133))


By Tetsuya Kobayashi (December 15, 2002),

by mpqs4linux 0.61
(105 546 (1051 4612377268801 4091395491588076375411 3132748140435693623745989522338876771) (P 58))

(112 561 (449 7204034014806975355440697003921 199195319876223773040441499715849089) (P 64))
(112 602 (113 3839809 40041233 40291820571260001601201 1722630705885303936636298739637451681) (P 59))
(112 918 (449 13553 446418837563977657793 2290426964802523914193 1520697325638889119163315767683526963206361809) (P 49))

(130 248 (4291171 1338583304795621 37227551421850457995939656754813893011) (P 56))
(130 818 (58111 145695206411 2134574626861 420171105851969291 999457721177117272914112439605218551) (P 58))

(140 104 (701 576561816285101247338654100316587101844401) (P 53))
(140 805 (421 701 16886521 4444267183861 944189146123186609801 4092022606921066259222844946445921) (P 60))

(144 508 (296949780242641 3777067107425134649953 276831296777744174278479313) (P 68))

(156 172 (157 434574177493 2384626116998690886759183137018931362712733) (P 52))
(156 202 (13 956749 9952904989 4476929638902912595495145933302496437) (P 57))
(156 310 (13 3291172914277 5465124641341 5408773869525039760032609000757) (P 63))

(168 177 (1119049 182963593 1811566435962924504274865282805475801) (P 58))
(168 194 (23882465615235361 443512693014075994325939440316426732374353049) (P 49))
(168 304 (3529 26710551569926744674337 192966909146064975521883980287301453663929) (P 52))
(168 674 (2857 4980193 11671602974641 22452254525450934577 18183300353041947775860779806696039415401657) (P 50))

(210 148 (1051 8191 9661 297161049440207456361561018590882463344403511) (P 49))
(210 392 (211 1188601 57530087148588797109361 2105731357098022870053272910224877961) (P 57))

by GMP-ECM 4c
(94 612 (23689 1357720682108811083460193425692847653) (P 88))
(94 782 (1592831 2131343905021 286955687235839 7518816154508279907054017391089963248954781) (P 58))
(94 940 (2991551 1244991146962040946281749662053631631) (C 95))

(61 450 (669775431359749139845911438166217 128403799540347506533968216663685635337) (P 89))


By Sean A. Irvine (December 14, 2002),

(71 428 (6002767 1734795935342456230139120329535397403663) (C 139))
(71 437 (569 13633 526423540125941051913513053969) (P 149))
(71 447 (569 244502508005209 862858274074470763817395177) (C 147))
(71 448 (224914461214767551 376522721739202149283833161) (P 142))
(71 451 (158047 50579815579033523 64821203355455363978698609068823) (C 133))

December 14, 2002

Announcement.
From December 15 to 18, I will visit to Milano, Italia, 
and from December 18 to 23, I will visit to Darmstadt, Germany,
both for business trip.
Last update is today, and Next update will be December 25.


By Tomoya Adachi 

(December 13, 2002),
(104 820 (157457 134961855766885681 346779244668418666748852364313 158363355711549200156391850269060948182417) (P 47))
(104 875 (1628019641 959379255526826279818121683100097193) (P 97))

(December 10, 2002),
by PPSIQS 1.1
(104 937 (618294041 751237033 58718218313 1374951838417 87673658886577922892108833271100346657569297) (P 59))
(104 978 (92353 44707417 9300488545421770986953 13255641379186548035528303056695784720170386583377) (P 60))

by GMP-ECM 4c (+ PPSIQS)
(104 894 (1029289 1476446921 2229409845206129 46733923293458941884278281191012481) (P 77))
(104 913 (438049 2117261329 386258728193064301714092343093289) (P 95))
(104 914 (8587333457 968919265910110462448860210148441) (P 100))
(104 926 (1158257790714649 708614670043941225703327104730673 461125593385492971837339407834998029384823817) (P 50))
(104 936 (827004520006474967918177 37556715106156766264403810487649 584966953622247048734718776069059697) (P 52))
(104 944 (8737 15216612737 8312879245203209 326663102815213097241720423925048097) (P 78))
(104 949 (9478870734985478174999041 2162451171558504210038301218417) (P 88))
(104 962 (313 67289 7399289 185258926419107945037947946722068827121) (P 91))
(104 967 (521 122929 3518321 13005721 2703410834699268070562960642340130140132313) (P 80))
(104 973 (608899206449 16411230119919600902278429341071273 16787902739612963708375154258721836423570161) (P 55))
(104 974 (287970073 357042959521 8292831870233 182311461505934027242549505014518983497) (P 73))
(104 988 (8737 654668041 78947738452517479481 21477185651500880642487214755340369) (P 77))
(104 989 (3121 7489 1135757888786514714761 5391728091802742304546087964648777) (P 82))


By Sinkiti Sibata (December 10, 2002),

by PPSIQS Ver 1.1
(81 527 (41959 146873701262096963201701 4730462560550818565776801 99372550734797391668619305091415009) (P 60))

by PPMPQS Ver 2.8(Linux)
(85 291 (11756023091 16705906121 2646423832732921 23799386027416537243764996233981 3486388902815208437967237122771277821) (P 55))

December 08, 2002

By Tetsuya Kobayashi (December 06, 2002),

by mpqs4linux 0.61
(112 315 (113 6833 248246861293415053777 12196323775951606172104749407953) (P 63))
(112 350 (2017 191089253153 57963115106401 275547956964875042777477038239862241) (P 59))
(112 378 (113 211092196897 250617317377759159409 2206572254695686750257437180057725713) (P 54))
(112 386 (113 35281 8794913 992507666144845952081 4712999440612290608813631805248337) (P 56))
(112 595 (673 137201 502871582316209 89216402488965361 10875544065692958022740727260928938232433) (P 54))
(112 768 (113 10193 26321 317969 3729111569 35251580917988526449 18109797544078723449457313761) (P 66))

(130 286 (239461 13366195379787244411 10463994423264155464193171150244816301) (P 57))
(130 412 (921205793171 152228051460771548081 99275525719448322406895637515368518931) (P 56))
(130 754 (521 454991930239991 5447531062377684606221664211 14498816493441888463073463357695817881401) (P 53))

(140 430 (281 39566101 47095274423131093643681 83626620800055769158336598181 14110560388999693535531697225641) (P 34))
(140 531 (281 146021 644141 135345701 719292586558506101 2014689735530942129189621504606970010081) (P 53))
(140 572 (2801 4621 9798461 101805600261303634454684801 130750401741207350957002961) (P 67))
(140 764 (9661 1886081 4455133952899613761 9578758811228633041 406903051077308300495246819778446438796437321) (P 46))
(140 786 (281 421 301841 8776181 15986460256989464298232119161 1365734608832175551347203414684219181) (P 58))

(156 102 (13 157 38561340634348818444477174337) (P 65))
(156 166 (313 1249 15955213 910513239842969522160594664492491725581) (P 55))
(156 490 (808514659681 240382938962493420182389 38974141483670879483859335486874710941) (P 57))
(156 674 (13 23591980481946397 3413688740788742599227409 28827477826159033763840699630933254877259709) (P 51))

(168 319 (104172396553 1637493387142033 6285993684782806660553638472294161) (P 61))
(168 621 (1951657 234136891801 71260437888730875314209 386218200422370274956639682230219830478553) (P 52))

(210 415 (111301 521675224704462338809177201 2875634866875002327279628784479970289298781621) (P 49))
(210 771 (631 10501 9052762606665331 21953447097010226764891 311287572902093542866297610875991) (P 61))

by GMP-ECM 4c
(94 533 (12582648558433521536162717448417587) (C 92))
(94 671 (4513 464161097 1009418075591811990047542353886921547) (P 82))

(210 178 (2311 859643611 13607035549433015651504183963276928331) (P 59))
(210 996 (211 8821 9241 247359631 5810104913069618116991061322359631) (P 92))

(61 450 (128403799540347506533968216663685635337) (C 122))


By Sinkiti Sibata (December 05, 2002),

by PPSIQS Ver 1.1
(136 202 (17 64601 65437956113 719654108609 2235668440217 25500334659362417 2189252686262650311234197048161) (P 60))
(170 198 (1871 37061 79458822418546935821 3865150648850864031846802661 413424254759545582449990745989252106641431) (P 51))

by PPMPQS Ver 2.8 (Linux)
(154 261 (75064529 56863435861 5138346370254814312250809806871913 4050675447190884255922072451241414731) (P 57))


By Takahiro Nohara (December 04, 2002),

GMP-ECM 4c (B1=250000)
(160 103 (18401 1067294099320120199965500001) (P 98))
(160 112 (33491681 14600180735363959197788126561) (P 96))
(160 134 (1159887669462184579916641) (C 113))
(160 141 (160613897330824889396321) (C 115))
(160 143 (641 49422881 108209573012334952217441281 1323858192244954812616311758081 136148072187742510131511868704150241) (P 37))
(160 212 (1193757664377896515361 22499895052013217251004161) (C 103))
(160 218 (16001 249840065435615723041 50427100805807514438145345121) (C 97))
(160 228 (641 2485992421507760854561) (C 127))
(160 247 (6287292449329857677187361) (C 129))

December 04, 2002

By Philippe Strohl (December 01, 2002),

(180 106 (541 1801 1121225526345138030250031754692101) (P 59))
(180 147 (404821802844001 3422869510819816581639971209413825185566921) (P 47))
(180 152 (1034461 27588961 19495477603990380380643548813009521) (P 57))
(180 249 (14032728361 334300586276341 292938141308120001093666555084785254386481) (P 49))
(180 253 (541 31150336056918196954861 54559858165406145047198189432823481) (P 56))
(180 372 (181 11161 21556194661 8478124031660221 23052736173205314849492945721 1475172880260420595725837735841) (P 33))
(180 403 (181 20521 38552581 331790767743365227081 1809199880540989408643294375140204441) (P 55))
(180 445 (181 4272481 982014833521 30226083707764801 930371469047629835777140663514780277909121) (P 48))
(180 451 (77595121 1823672341 57632873447890524061 2136584367437637885883923924225986097649861) (P 49))
(180 469 (3061 2046014101 23720407441489849564989721 13826819278953977607971387772798241) (P 56))
(180 482 (2161 4861 10631161 82405794620575109158381 8888695280431326072536417333648281) (P 58))
(180 584 (181 1798201 141331840381 64299495924160253058241 698076654652407486955063869721) (P 61))
(180 736 (534601 28730341 352532392921 8655845128630718614381 2336822611159905526430423483452914301513349101) (P 46))
(180 779 (8461 883726423060861 17030174579538393891466081 12931206891778089909989539921) (P 67))

He reserved,

(180 213 (7609681 184017567421) (C 94))
(180 357 (71573581 15941942591477450814001) (C 93))
(180 757 (91621 1255419001 169690467241 95743477797462457741) (C 93))
(180 804 (67977367561 30570098228254801 1997107586025482881) (C 94))

December 02, 2002

By Masaki Ukai (December 01, 2002),

(122 942 (736814390597 54563191176684439432991) (C 144))

(136 988 (17 137 847009 114312375199289 79256456452371185685659777) (C 143))

(140 230 (2801 883998893976906563161940341 30380938997490871466552743897045166428741) (P 43))

(154 655 (6815117 5737689645070784678590237) (P 138))

(160 182 (641 95371201 37511753441 111789703238128366883154241) (C 98))

(170 168 (17681 21360245566708651294983940841) (C 110))

(180 889 (353300537360435538690312492961) (C 112))

(186 580 (11719 19531 2231924292255578478079 373311018130512865146763) (P 113))
(186 659 (268520314171435940124668587) (C 143))
(186 849 (373 1861 606988121206780956949723) (C 147))

(192 668 (2113 4801 659713 134778175618901076747245569) (P 142))
(192 818 (577 4993 64323161093141502666687553) (P 155))

(198 182 (2179 2060389 2321947 1160789985407300146980001273) (P 93))
(198 732 (5743 4525316533 9054982333 220297198198975327 5619300113137488471067771) (C 107))

(204 931 (17341 29211373 6054454172658720745453) (C 157))

(53 478 (53 3923 729608813 37732077075511003534729267) (P 100))

(67 447 (268489198984711085181187241 1884818155486234624789641965627) (C 119))

(77 489 (1138676363329716117076633) (P 138))

(85 278 (346737106554713835775651) (C 133))


By Tetsuya Kobayashi (November 28, 2002),

by mpqs4linux 0.61
(112 204 (152593417848287473 1544797026687330958680216289 725718348610810861450426939939969) (P 34))
(112 258 (3697 28048531148404028641 9937746359511182721932528398895420503021686161) (P 47))
(112 272 (113 8288745533390323476721 278876306214963884700704771330702797434127297) (P 49))
(112 304 (2801 32369 130778929 18853082641 29747176140951988804831345529205065629789489) (P 50))
(112 497 (113 2017 3361 206038254689 27243857642344897 125991070122181128945424855439935900321) (P 55))
(112 568 (113 511057 4023720401 2941804667006921654401 52593023804641067628904729817139953) (P 59))

(130 135 (24571 573691 1934902123354756859655522248289345166705515181) (P 47))
(130 252 (911 2081 307451 120970090931 12147427596704993762092119344462861) (P 59))
(130 300 (14821 37845849211 287108484391 39913311985325006768094473244362011) (P 59))
(130 493 (2341 20021 65874752042645678231850336301 41638210057863979715905775721541) (P 62))
(130 770 (131 1951 19891 876331 29390449531 47930501752130930531 232173765316114679917224425416102521484321) (P 52))
(130 796 (131 2020993001 1980117668621 162136554717893509587341 772075328605572945441856621179206281) (P 57))
(130 835 (1301 1198740389084573011 399484102572860521668030671 7766827493921673937533523993615495106881) (P 53))

(140 182 (701 6581 1789769101 12617736038235612419999521577221) (P 62))
(140 252 (96601 340201 3436291981921 166920236452593936093785685987927413163053921) (P 48))
(140 535 (6521340701 89095861484546927344683258841 10236915176442337068844065289217179683071759881) (P 47))

(144 250 (164802529 88718914849249 80481107948379312610312471637137) (P 62))
(144 459 (1009 8929 8368012496449 5029494858344161 535656419178684394620757632368606788888513) (P 51))

(156 698 (157 313 8737 133685449 1229413248649 1823595822440341 15640598611010933689279126208508893214469) (P 53))
(156 700 (13 157 3838545291517 29377753675962362445980832433 5336985189528135929111763396600304591785313) (P 50))

(168 363 (593041 79481882929 44786061995137 69401391427506572873880231048262023937) (P 55))
(168 369 (6553 31965256436233 72555593520481 162053768915206380903124341083855103348169) (P 51))
(168 430 (673 35488993 545848473983833906548769 5979513464980321392342386026185336169) (P 56))
(168 750 (6217 81649 1027501977761212801 9578321023874048713 269970103339488479534016201629607424777894297) (P 48))
(168 768 (337 724861196986114267633 27909584360485837992193 351639050298527432721047734890816287137) (P 55))
(168 824 (2017 595057 9464953 17225259409 545892155013404567257 16419754781160878876931728392531522384061126929) (P 47))

(210 433 (1051 152428711 46778642589947067845011 3237486436551714151158005212032636483252781) (P 51))
(210 488 (1051 2311 6224987494755946900629144749881 27741486950983545443167723406765680421731) (P 52))
(210 889 (631 4811101 88351831 221812639651 110246005578008148451 142513555199232233275899478530934169971) (P 55))

by GMP-ECM 4c
(94 664 (43292077 266866189 5802567079787 61030018353932497926303989452220179) (P 67))
(94 732 (588911 3319304816326231344755446367 7466804904603734908906481126518953743) (P 62))
(94 746 (5255158652315362861969924757565428417) (C 96))
(94 985 (13913 4599154851277725718510619675269819) (C 100))

(210 265 (598501 34049491067540761 22375453359653835837745529652151) (P 63))
(210 305 (1786568779348501 38478523521331819491467540759971182151) (P 67))
(210 693 (1353347437408817382228027068741011 51289413916778338138814708906031271) (P 69))
(210 835 (211 9871 23311 223743016600216955278572990530971) (C 98))


By Sean A. Irvine (November 28, 2002),

by ECM
(71 412 (853 8237 58789 384253 31868259119237328586805148320732564267) (C 129))
(71 420 (386833268333 5592421662449 56588711942025252686694376051) (P 131))
(71 423 (218681 2206873190135664219233321) (P 155))
(71 424 (1279 4261 9941 30389 187177724612914473934578590888560484187841) (P 128))
(71 429 (2732914724614100882085193 2523670396220168059673635209529) (P 130))


By Steven Whitaker (November 26, 2002),

(104 618 (1206713 7090329571717654807707936400849 1151264524627797560735050687196071657) (P 61))
(104 620 (12704641 43151963195111931846952258409 681568814146228300985899523815618499863953353) (P 54))
(104 662 (37057884077123288497 41509099049946206017 578554809289410876052199182763974450361) (P 58))
(104 773 (11597288937858201312562387110944017) (C 105))

He reserved the following;

(104 435 (8737 37189153 542892169) (C 107))
(104 440 (28081 41023034417) (C 112))
(104 442 (313 326561) (C 119))
(104 443 (1249) (C 124))
(104 444 (51481 1913081) (C 117))
(104 448 (313 7194055575162783512953) (C 103))
(104 449 (1249) (C 125))


By Sinkiti Sibata (November 28, 2002),

by SNFS Ver 2.0
(81 231 (706952671634154853 7306679276682428431169508425096704373645385313459) (P 61))
by GMP-ECM4c & PPSIQS Ver 1.1
(81 747 (163 1621 2126899 723313713305594377 21209967992788183393957 1401979473116999654661858799 11786477874040770366621866815420867) (P 43))
(162 309 (487 434323 460312309 2033408358961676196121 2271564162731475102520138357) (P 69))
by PPMPQS Ver 2.8 (Linux)
(154 123 (3851 5580602413 109248132841 284347766473 1797488985897659854621131312763961971) (P 54))

(November 25, 2002),
by GMP-ECM4c
(81 456 (885169 42305260119067090778680786757437) (C 107))
(81 471 (163 14706423829 5197429925245656478206289) (P 108))
(81 570 (163 3727 4709061343280873971993993994064493) (P 110))


By Satoshi Tomabechi (November 24, 2002),

by SNFS
(61 262 (3676648072646788980874699720797775273783867389388409414427613) (P 85))

November 23, 2002

Errata pointed out by Robert Backstorm (November 12, 2002),

False
(65 546 (8066501 7730776561 1013105774937306385748438040341 180993268403776886392153073513311) (P 48))
True
(65 546 (8066501 7730776561 1013105774937306385748438040341 180993268403776886392153073513311) (P 53))
(Last prime factor length corrected)


Errata pointed out by Tetsuya Kobayashi (November 18, 2002),

False
(65 546 (8066501 7730776561 1013105774937306385748438040341 180993268403776886392153073513311) (P 48))
#(104 584 (313 241177 1952994889 14446009826495233950673520201) (P 88)) 
(105 619 (1339254865027845303704629227296491) (P 135))
(105 620 (149668834119273518741942236912801) (P 102))
(162 480 (163 81339171932951376008796397) (C 117))
(99 573 (397 1783 2179 26852503642553662047354997 8651053469228103241327341631) (C 103))
True
(65 546 (8066501 7730776561 1013105774937306385748438040341 180993268403776886392153073513311) (P 53))
#(104 584 (313 241177 1952994889 14446009826495233950673520201) (P 88))
(105 619 (1339254865027845303704629227296491) (P 101))
(105 620 (149668834119273518741942236912801) (C 102))
(162 480 (163 81339171932951376008796397) (P 117))
(99 573 (397 1783 2179 26852503642553662047354997 8651053469228103241327341631) (P 103))


Results:

By Tetsuya Kobayashi (November 18, 2002),

by mpqs4linux 0.61
(112 165 (642621725855873 226080354913773169782793111223328649692701473) (P 48))
(112 207 (113 1009 932582267932561 5180481723997062408895254339713) (P 61))
(112 551 (105953 239718730140612017 247443752901936193 9571116211279924456113490458977) (P 61))
(112 644 (113 449 5153 659569 2914002014449 146175456346295713 8700036271203479537594201572272819901044097) (P 49))
(112 705 (113 18743949357902778241 260662438230684841920577 1190279707311162346209948642193368929) (P 56))
(112 984 (113 161313937 91380686566289 8268214256803403199309001921 3980202982032549659603224360219764755989196081) (P 46))

(130 174 (41081 228192475811 7894584292652975096657272408352363393198561) (P 49))
(130 341 (911 51018371 706735511 339636373441 1117446134799110717339149357571) (P 61))
(130 466 (16901 124541 66190158581 18184301703084791 153303938741632695570684330673981) (P 60))

(140 204 (20241267381231455861 12386548400358726062026577858880931121) (P 55))
(140 215 (281 421 9295301 1077825841 59381158458350558922667995953540868608358241) (P 48))
(140 218 (421 856544641 3984729421 162960639080784630100800541) (P 65))
(140 581 (17130944315689424221 190043765230298504491541 332980908461495005713281763534941) (P 58))

(144 145 (577 2919714913 1347309746804943207326157336049471396175809) (P 50))
(144 206 (433 4596337 301352470273 8137064864495263297417876257409) (P 60))
(144 595 (577 1009 2017 2593 21601 55079918209 63912650734081 4696011132089842162898420873617) (P 62))
(144 648 (18197136577 90122386248577 226538480460474747937 7343455409280917287996895102524046401) (P 54))
(144 694 (2017 81649 1606753 4405491607393 589994508413049409 27108540307521811485918040249607850289) (P 55))
(144 789 (394993 121297681 1020967658522641 18212935592160477793 297996980588005038874687504801) (P 62))

(156 209 (6020818129 31430714017 459351859054110180174206706049) (P 62))
(156 413 (313 937 8788729 3048968811251560612117 291831984163080001296072474877) (P 63))

(168 102 (154057 933769889827155661985401989897687707620086841) (P 47))
(168 182 (337 673 732775378441 2412517935647028459756884929745857988872367017) (P 46))
(168 265 (54392402569 70961695746649 34323061713608635995541042088115346111777) (P 52))
(168 286 (2521 156798875591345736205801 13090927673610742750920195473506993) (P 58))
(168 308 (36221185647193 4245348666424153 60636333954902095311530576382929342386321) (P 50))

by GMP-ECM 4c
(138 742 (967 12139723 3479106770410717971097396883102617709881027) (P 74))

(210 365 (236881 511384441 66880767451 2067368666544939681119894634409831) (P 65))

by ecmx
(113 16 (227 3391 23279 48817 58309 65993 1868569 2362153 636190001 1066818132868207 491003369344660409 15079116213901326178369) (P 35))
(113 64 (227 3391 23279 48817 65993 156619 1868569 10113049 28448881 636190001 1066818132868207 491003369344660409 320021624768405574452943847 4760137992283599860814226997712217) (P 55))
(113 256 (227 3391 9041 23279 48817 58309 65993 1868569 2362153 636190001 30500013280577 1066818132868207 491003369344660409 15079116213901326178369 10384593717069655112945804582584321) (P 118))

by mpqs4linux 0.61
(225 225 (151640551 585037351 3058266151 37082184301 15992341593301 2538851987876401 228519862691104434601 610433666821864242438170851 23724642675745547211835606501) (C 142))


By Sinkiti Sibata (November 18, 2002),

by PPSIQS Ver 1.1
(118 194 (709 1959911207 2673636403692957907523521 92958356471003548427423228829482027618191091) (P 53))
(162 424 (1459 1227492372097 6894055082503 1762890036257863 6680095409950745273860947180881799870095568229) (P 53))
by SNFS Ver2.0
(81 208 (3 46484929 250750105176440244875262577145312887) (P 82))
by GMP-ECM4c
(81 475 (3 224209 951427 247504370424493931898967 7088412720217280335547257065529) (P 79))


By Steven Whitaker (November 17, 2002),

(104 402 (937 3329 1637026515299449 20651691487574621786614110492727533865890002281) (P 57))
(104 413 (1249 1562160846868129 3545139952753266725082823119155229307074481) (P 65))
(104 414 (72073 1021750621744841 349328876818380785350049918668575409905015227912393) (P 56))
(104 416 (20346107447455041409 7769523220956265511751401824075813162949727329006113) (P 55))
(104 417 (937 294529 1331477167095401 4036732054031515357584886256817336965805100553) (P 57))
(104 421 (1873 4981184809534049990467653113211847771252787902313) (P 74))
(104 424 (313 25409371034809482508321 12326139427147302868543763153841924623699801) (P 59))
(104 617 (41763519327751798318825068738741538993 871543952357128960214789902223058986863729) (P 55))
(104 711 (367121 4556398294683457 36770548304030543524313199755815001) (P 82))
(104 730 (641319922673 158971399674497309138585385380017) (P 94))
(104 734 (521 15809 1201731523650572366864962518362979001) (P 95))


By Sean A. Irvine (November 16, 2002),

by Leherbauer/CWI SNFS
(67 172 (269 2700842328482317148491070455645640456257) (P 106))
(67 174 (976727 25218985778929643515000315991658448729360908938052061079753579) (P 81))

by ECM
(71 390 (24851 87473 105210620831 6782072900334800224010684363 56839589063395940685227170747) (C 105))
(71 394 (6148531273 34632839540992702306369 465501988809229607685712941386053) (C 117))
(71 405 (2828641 267748754479 55049933299331 528479165895225329 3822792038259286809795135485564791) (C 100))
(71 964 (63426671300321835149635310022858779) (C 175))

November 12, 2002

By Tetsuya Kobayashi (November 11, 2002),

by mpqs4linux 0.61
(112 122 (337 67443377 3175652461638285462676553510923185699617) (P 51))
(112 142 (113 337 2129 1282961 900930783881395485120559848816097537) (P 54))
(112 162 (16299046139928833 941022097026899801074439283430433) (P 57))
(112 195 (337 449 85009 21179494337 996136220044235450998326732450625129482241) (P 48))
(112 235 (337 703055032499843027201 1000648045028826098925732148740999265862881) (P 49))
(112 252 (2017 23706976958105919862273 24910599169344401851852015652915166478753601) (P 47))
(112 267 (673 63475889 30600521219184001 124830881462241644777272654789472209) (P 55))
(112 325 (700333429937 4219564890215434481 395506556920412595481132311095807729) (P 55))
(112 330 (673 1009 103730407327587696348134737 1443596666160658977066792244027352017) (P 53))
(112 384 (113 59921 200257 16714096698831432242609 436577642768321237690115027298685009) (P 55))
(112 437 (8702761368673 6137671683990365836175713 3282441599658866625234153358061416862864593) (P 47))
(112 658 (113 22658833 2224885661489 966784680652075559643713 32188302913671231769848812851795729121) (P 53))
(112 793 (337 820248676913 98486406691938497 471956724383920273 2098068473985802608315574341073) (P 60))
(112 965 (1009 438597041 3100586565857873 1294639032550690861793070929 26757168766951405838016992167886093115233) (P 49))

(130 198 (131 911 523926431391611 413420294133508360023567508762861) (P 58))
(130 270 (131 21179822726980842376788701 47799265639329401533449607889491331) (P 55))
(130 669 (131 600601 36605356183029661 547802737623346257001 283980343546507017717987497528849722400204831) (P 46))
(130 712 (131 9491 5706965080784761 21180150651114493438956271 472177329754864719834118096244763684936452831) (P 46))
(130 820 (17551 194463617096180760901 83622357206402211220059271 50762002500929827343104568521734112721) (P 52))
(130 855 (1537771 1834366561 2209487281 21608138517374500753428521 5573967500665143321264343999423571) (P 57))

(140 316 (42546080628241 74581631387728501 82421084481583267067069869684970321) (P 55))
(140 398 (28995821 1080006549030668267417910341 1985562983807287101347983843992561444361) (P 52))
(140 415 (38501 28030661 897417864656153301222161 6754484926643847277271475199462211981) (P 53))
(140 436 (322782029390782781 3742428012807914921 31034187901191807970591297864526268564121) (P 51))
(140 482 (281 421 1217909728001 4627031799780222030661 15296235817004496474653847482604573481) (P 53))
(140 812 (281 11621 552581 906154789961 224041948778446792938515621 101924055028956646674934473085025499721) (P 52))
(140 816 (1512281 5918878981 2904588246841 718321206138010831021 2815520411315934616040838538656001123497461) (P 49))
(140 974 (7841 172130889180860483841241 181743323725246674144168368521 1609406904043918254549508583441) (P 57))

(144 110 (2593 139681 80742302263332987738170617013002972447233601) (P 46))
(144 238 (2095252078786569929384497 1262179980288941250943310164018279590961) (P 51))
(144 245 (23041 1977172861110656290561 16511931422120542335635015524800014401) (P 52))
(144 273 (577 6495201793 168489716342833 341147610880669639366604964028140130657) (P 52))
(144 306 (1009 31086867583991724060456721 23564599367428553199082654375828369) (P 57))
(144 319 (1153 2017 684289 8191164961573540993 58249792284570951217186361637829249) (P 55))
(144 524 (1009 28081 341719954273 8266545991169611284673 10753532597884899923285932717328593) (P 56))
(144 990 (16561 33010849 1930952593 1047562681379041 803332546767537121 5351123196875772350445259987849804810177) (P 51))
(144 992 (577 1297 1873 54165313 2022548977 567809658281185907537209249 90595373200424271406962545582464993) (P 56))

(156 116 (313 2186341 894132807167331553644654262639928419129) (P 52))

(168 382 (389457769 386893757209 23971487237377 147921323669077239246144420617881) (P 59))
(168 403 (267961 1581952849 2486335393204057183489 88368635675096742430927057) (P 64))
(168 442 (1466473 21448561 146487278628563685502537 79458236065880720685149895826422775273) (P 53))
(168 460 (6749200115113 23691455377998521000006617 198698610488900528694567783351337) (P 58))
(168 519 (337 9241 164798929 267131317679155309838537857 151811258965233935713899565715379520927485481) (P 46))

by GMP-ECM 4c
(210 274 (421 234897787718161 3399978421852005406593252771405211) (P 67))
(210 387 (2245816021 26110328423200784141030639393195216677951) (P 75))
(210 928 (331537081 17493190416417462234319242279541) (P 103))


By Satoshi Tomabechi (November 11, 2002),

by SNFS
(61 245 (61 767152349 1056756646782655888522710899613464301419894809) (P 88))

November 11, 2002

Announcement.
From November 12 to 21, I will visit to Taipei, Taiwan as a business trip.
Next update will be on November 24.

By Sinkiti Sibata (November 08, 2002),

by PPSIQS Ver 1.1
(118 303 (7907 48308466749 98044855307873 270780797045499859733 7529058112876342315015371473914977381003739459) (P 50))
(118 394 (1063 2649224845889 14771277939044587 1844229014967173489230027637 4838307127922091460361083103) (P 64))


By Sean A. Irvine (November 07, 2002),

by ECM
(71 376 (2273 130783 16039648270421 23733022344222317210057820509851 873964072513357558848796424400673781) (P 92))
(71 379 (15390720947419733 795191541323984598551851 1822839475020561940883587719310167913) (P 105))
(71 382 (35091259405563059 4013350097127162697 43556143773049780932187511143) (P 117))
(71 383 (1847 4000323223027 4956558217496032331798120787667) (C 135))
(71 386 (2629841 34570719132823 8565914082276490073507165160998520276233) (P 122))


By Jay Berg (November 06, 2002),

(65 546 (8066501 7730776561 1013105774937306385748438040341 180993268403776886392153073513311) (P 48))


By Alexander Kruppa (November 05, 2002) reserved,

(69 618 (3357817) (C 117))
(69 641 (15319) (C 120))
(69 652 (12697 2311363) (C 114))
(69 660 (1933 4750651) (C 115))
(69 662 (1933 15733 597891064411) (C 105))
(69 663 (139 6693540352102963) (C 107))
(69 672 (430163552292841093) (C 107))
(69 688 (1) (C 125))
(69 695 (1) (C 126))
(69 699 (139 12421) (C 119))


By Tomoya Adachi (November 05, 2002),

(104 981 (313 521 117136553 6543542613037168544676833) (C 106))
  C106 = P49 * P 58
  P49 = 1237696278873782205939616409899995872944656290993
  P58 = 2574013577203789975673473264634905773009311700287425032361

(104 981 (313 521 117136553 6543542613037168544676833 1237696278873782205939616409899995872944656290993) (P 58))

================================================================================
GMP-ECM 4c, by P. Zimmermann (Inria), 16 Dec 1999, with contributions from
T. Granlund, P. Leyland, C. Curry, A. Stuebinger, G. Woltman, JC. Meyrignac,
A. Yamasaki, and the invaluable help from P.L. Montgomery.
Input number is
3185847026275723761992419138718066727835003142236722866851098948537652304401755313128723796900685257824473
(106 digits)
Using B1=6000000, B2=1929727800, polynomial x^30, sigma=1476518412
Step 1 took 107774ms for 78264825 muls, 3 gcdexts
Step 2 took 60528ms for 36333869 muls, 67612 gcdexts
********** Factor found in step 2: 1237696278873782205939616409899995872944656290993
Found probable prime factor of 49 digits: 1237696278873782205939616409899995872944656290993
Report your potential champion to Richard Brent 
(see ftp://ftp.comlab.ox.ac.uk/pub/Documents/techpapers/Richard.Brent/champs.txt)
Probable prime cofactor 2574013577203789975673473264634905773009311700287425032361 has 58 digits

November 04, 2002

News !
Phi(92) series have been completely factored.
Last composite number was factored 
by Tetsuya Kobayashi, a Japanese high school student, on November 02, 2002.

By Sean A. Irvine (November 04, 2002),

by Leherbauer/CWI SNFS
(67 162 (20369 618679 19810342486980905268756561941557390532070024251660497) (P 84))
(67 164 (875084947523 9663184616021 5187803693170149521990914724875104975025200512387) (P 73))
(67 165 (5227 150617 1904322481890006436250455623088433564058667) (P 96))
(67 168 (5227 15277 22327483 9727314992782830454698477216563376990646051799650739) (P 80))
(67 170 (268537 1327673 1018344391 27092463871266769779627271187068762774145535625751267) (P 75))
(71 170 (33915759334545013897522183786176975549656475353117809) (P 104))

by Franke MPQS
(67 227 (13340117100953144219824089931 2055744309400455805039599686969761 57593261966912946025297970180936416668863) (P 54))

by ECM
(71 364 (569 2557 827009 1858254498367832310598799 855534167342708958247387273299389598629) (C 104))
(71 365 (1279 1847 2699 31667 1908583537255542947296113281268859940973601) (P 123))
(71 370 (29237763440090417 4288447249161701161510656089) (P 136))
(71 375 (7669 13570360511633 14348756774641 32538989220703659763510621 82835973588044673580895079923837) (P 93))
(71 376 (2273 130783 16039648270421 873964072513357558848796424400673781) (C 123))
(71 764 (63933116299207979046144825237375101) (P 168))


By Tomoya Adachi (November 03, 2002),

by PPSIQS,

(104 909 (313 5000321 149359913 1137813353 5125608196697 28974249842993456495092757702539926388777897241) (P 57))
(104 910 (521 19900817 125446049 3167407293688249 35663033654835566803723674681125118655532455640152153) (P 56))
(104 958 (1990837889 8375271776041 4158348376541916192689 48874922670023034408999106576916504844527320769) (P 53))
(104 991 (422137 59627911900487321 895091152205135797081 53888709343534609739121191488559857) (P 66))

He reserved,

(104 937 (618294041 751237033 58718218313 1374951838417) (C 103))
(104 978 (92353 44707417 9300488545421770986953) (C 109))
(104 981 (313 521 117136553 6543542613037168544676833) (C 106))


By Philippe Strohl (November 02, 2002),

(180 134 (181 2697745321 6693182160581663293928537881 960503506491226435690936424761) (P 33))
(180 135 (12584400347521 50435060050977465414016758983217067024025761) (P 46))
(180 378 (7561 112037315245286152151919115918981 2367430335035281152831350975530023586629181) (P 46))
(180 615 (10371126608037774001 16560889502210025414170221 3737241745530873829953431684221) (P 60))
(180 916 (1000981 13008512575287001 119244020724154545837129867414510001) (P 85))

He reserved,

(180 302 (1) (C 120))
(180 532 (305007499801) (C 120))
(180 613 (226338681529981) (C 120))
(180 739 (704521 6613929069481) (C 120))
(180 770 (12781 4110121 132133861) (C 120))
(180 774 (181 8641 3962027643481) (C 120))

(180 369 (1621) (C 121))
(180 389 (15661) (C 121))
(180 425 (181 6121) (C 121))
(180 508 (541 4783501) (C 121))
(180 517 (3416525821) (C 121))
(180 531 (22061254681) (C 121))
(180 571 (181 6011749441) (C 121))
(180 607 (4076225657641) (C 121))
(180 634 (181 1801 896605561) (C 121))
(180 848 (181 8821 93104505570961) (C 121))

and
(180 147 (404821802844001) (C 90))
(180 445 (181 4272481 982014833521 30226083707764801) (C 90))

(180 249 (14032728361 334300586276341) (C 91))
(180 253 (541 31150336056918196954861) (C 91))
(180 372 (181 11161 21556194661 8478124031660221) (C 91))
(180 403 (181 20521 38552581 331790767743365227081) (C 91))
(180 451 (77595121 1823672341 57632873447890524061) (C 91))
(180 469 (3061 2046014101 23720407441489849564989721) (C 91))
(180 584 (181 1798201 141331840381 64299495924160253058241) (C 91))
(180 736 (534601 28730341 352532392921 8655845128630718614381) (C 91))

(180 106 (541 1801) (C 92))
(180 152 (1034461 27588961) (C 92))
(180 482 (2161 4861 10631161 82405794620575109158381) (C 92))
(180 672 (8821 24481 31510125721 34977018815149922759058841) (C 92))
(180 779 (8461 883726423060861 12931206891778089909989539921) (C 92))
(180 974 (181 9001 238681 20464602481 22601062937161 122764057412676481) (C 92))
for SIQS.


By Tetsuya Kobayashi (November 02, 2002),

by NFSX 1.8
(92 906 (58619549 44791242913 2801041853055533769255572398738005166764972122513) (P 64))
(92 924 (1299131633 20625074741 4778506277576794472365392110172173601548168897) (P 66))
(92 959 (277 461 126961 169592893 5767989308760009232298584092772933296161) (P 73))
(92 965 (120912668329 186712741135985661122350746677168859617461373932021) (P 70))
(92 975 (47202073 65622313 25550143056202007141217881066152755719772564934488566737) (P 61))
(92 989 (1354026287806090141 211206766216735400705836583676524014129973) (P 73))

by GMP-ECM 4c & PPSIQS 1.1
(210 443 (1789562204011 3675834971932173027369371720161 293566750036389975546790566765329416291) (P 46))

by GMP-ECM 4c
(138 447 (4556347 5555815642058682324274603796086799683) (P 74))
(138 493 (34501 41953 2830657 718645069879709290806612984428577961) (P 68))
(138 662 (79903 24882332053 927481259078927671865962063167659637514355568432127) (P 58))
(138 723 (6270725673052902205589387512330387651561) (P 87))
(138 745 (139 121993 989124963388515475748549976685662029473) (P 81))

(210 245 (20491478264708055615945437241372061) (P 81))
(210 341 (211 631 110251 111721 14606584651 399162243840168746274818538929714641) (P 61))
(210 738 (36278202451 960801727957442994493096846055514961) (P 92))
(210 741 (211 2822028512521 4856377731241 77506199533139604459665280032221) (P 79))
(210 749 (211 269851 75884120594030740068815787700771 1880803767477794118940411726072574581) (P 63))
(210 805 (586164741320613230680965481 168606670603668244211343485465853991) (P 78))
(210 815 (243981457861 352609875633013349235923106352232918813761) (P 87))
(210 888 (10243171 2641665944269460263154854905751 19893184232326078805706313215541) (P 73))
(210 911 (3361 57103221873823965269744371 546087160942503450308524048630621) (P 81))

He reserved n=105, 112, 130, 140, 144, 156, 168, 210 series 
less than 100 digits.

October 31, 2002

By Sinkiti Sibata 

(October 28, 2002),
by SNFS Ver 1.6
(81 202 (3 163 1297 225580951 55382756134942854590312612649448759263933796660279) (P 61))
by PPSIQS ver1.1
(61 405 (102481 115901 353069 217091231504653390935949 5187694489245468821052385201 44449263422127786375258998010632357761) (P 53))
(81 706 (3 163 1783 43093 833799859274979696691 13347705149396590852298539 762073649169643393612101190837) (P 68))
(118 168 (9323 923390462791 1841779938123354499 1170907667302243114963113923386496303) (P 59))

(October 27, 2002),
by SNFS Ver 2.0
(81 204 (163 811 36007640535620539 24777260684182601814322759271064129001) (P 66))
by PPSIQS Ver1.1
(162 575 (3 74521 1235251 17702216976030409 45567634810324124600188381 128126950516802160091274059) (P 70))


By Tetsuya Kobayashi (October 26, 2002),

by NFSX 1.8
(92 840 (163853 145485176029 3959630261468953367734059640726755493) (P 76))
(92 849 (704807027677 3011150870325911070883550564964511455404980383581) (P 69))
(92 852 (56749266661 269792653831599066141209113149108963165728207266062263033) (P 62))
(92 886 (546084769 20086173244836986734474913170383465953 387281036838472968310300859190736507033) (P 46))
(92 901 (268265653 311560506165377306813410450641930075129341) (P 81))
(92 927 (27621025384799969 785798220910329748964416287917892684415203026593051466593) (P 58))
(92 929 (1657 533969357470673 559748077809477630357301003744100772462793460590273) (P 62))

by mpqs4linux 0.61
(92 774 (10510577216855594533 47867502125384792833304703017148731239691430817) (P 62))
(92 910 (29849339281 77813273401 116200041079106374452824380562676780908148821549) (P 62))
(92 919 (3313 685977466618771753 303012925000672187171081900778314934934846577222501) (P 59))

by GMP-ECM 4c
(138 660 (139 277 284833 6010773138152108242583069200721292758929) (P 75))

October 21, 2002

By Masaki Ukai (October 19, 2002),

(134 612 (20771 657129225977890320295928179) (C 153))

(136 262 (137 107441 115057 36788066468881527505580489) (C 117))

(140 454 (51544501 33336315691141 2188119994066632515720077124792041) (P 73))

(142 589 (569 118719700367670663164707) (P 169))

(156 568 (157 27380029 143672704657 1239236816161033 968767428584869585982495173 1032012428324134140134971808052901) (P 37))
(156 745 (335557 968917 1125141421 3778614869005473813109 1146469387509992665576592862169) (P 66))

(160 801 (3041 33256801 2450158527841 114761497147841 7222302712158051745921) (C 127))

(168 730 (13642872647208996307405950520777) (C 107))

(170 150 (2934007181789583170033469731) (C 112))
(170 495 (3061 265680610231 264441594683550753058300481 473016545999222966078522671) (C 105))
(170 583 (18191 6444767221446751 6301890646814204591 6186805479044998789213181 266563022927087829922947060421) (P 84))

(204 146 (31769533 66464527280345222933620897) (C 106))

(210 840 (211 472341508595881 169003337413966199971 480622519854969838726945945228382731) (P 68))

(67 464 (2378977577 3413850602078842701091 45258823726454046096502057) (P 120))

(81 527 (41959 146873701262096963201701 4730462560550818565776801) (C 95))


By Sean A. Irvine (October 18, 2002),

by ECM
(71 359 (2513827 25179157 469020977642479363481 78513998330952940230510771751) (C 116))
(71 761 (1610390727168185680580455244749516255695631992277) (C 154))

GMP-ECM 4c, by P. Zimmermann (Inria), 16 Dec 1999, with contributions from
T. Granlund, P. Leyland, C. Curry, A. Stuebinger, G. Woltman, JC. Meyrignac,
A. Yamasaki, and the invaluable help from P.L. Montgomery.
Input number is 4983070578699621345648758795946786489699447158923341167929707152021191319057138908604417894224244096909460401007237133698775496719078793168004317119431646035122982915288481052088094940158965731422616671 (202 digits)
Using B1=1000000, B2=234709020, polynomial x^12, sigma=909010734
Step 1 took 122690ms for 12982265 muls, 3 gcdexts
********** Factor found in step 1: 1610390727168185680580455244749516255695631992277
Found probable prime factor of 49 digits: 1610390727168185680580455244749516255695631992277
Report your potential champion to Richard Brent 
(see ftp://ftp.comlab.ox.ac.uk/pub/Documents/techpapers/Richard.Brent/champs.txt)
Composite cofactor 3094323939297745576239630305708145221943652772146352976583265583941709400206907308455251844923141717213622722981913978180008321605958419308465245792685923 has 154 digits 

October 17, 2002

By Philippe Strohl (October 15, 2002),

(65 688 (131 2861 5851 196999230578135831 13264604156459696824204263350821 1505176424645275098223304477825111379401) (P 40))
(174 130 (349 126499 245087304065254671301144801921 301903785225956668650996373836834049) (P 46))

He reserved;

(180 134 (181 2697745321) (C 91))
(180 135 (12584400347521) (C 90))
(180 147 (404821802844001) (C 90))
(180 378 (7561 112037315245286152151919115918981) (C 88))
(180 445 (181 4272481 982014833521 30226083707764801) (C 90))
(180 615 (10371126608037774001 16560889502210025414170221) (C 90))

Erratum

False
(180 994 (2341 110161 4402652941 538674742354501 284383205621623327990503261961) (C 82))
True
(180 994 (2341 110161 4402652941 538674742354501 284383205621623327990503261961) (P 82))

October 14, 2002

By Sean A. Irvine (October 14, 2002),

by ECM
(71 337 (853 32377 1847563 182839481352154154544106792509229) (P 131))
(71 338 (8106714823 4646812548911497 283661825136529457 19300837248414776739887809) (C 109))
(71 345 (569 25703 298496071 3099383095720857878192922349 6338851277215811859879674994604729867) (P 98))
(71 346 (8965070459 12748803238914472927896486055968719) (C 134))
(71 348 (569 15430021751 36031865237929367 919206206891565096992355015308803) (C 116))
(71 351 (2273 1398559 333927409726339981963 19149057422432493011956609939 11588283317477854098351606555811) (P 89))


By Sinkiti Sibata (October 12, 2002),

by SNFS Ver 1.6
(81 195 (4861 19603 35406991821919369712438620082457514657) (P 79))
by PPSIQS Ver1.1
(162 427 (163 811 1297 110647 158981131 33089219281 131228824847941 52738772328564312252521757241) (P 68))


By Philippe Strohl (October 06, 2002),

(67 338 (1609 5163959 736853775430900529 103420472375792146934033 118729508258185824793943249 3619160030376250163415880617490110935897) (P 51))

October 05, 2002

By Alexander Kruppa (October 04, 2002),

(69 541 (139 64200529655407 81481796677593138952409762720390305810359703) (P 61))
(69 544 (139 41263 593401 2226493 66041653351020230977292392354229413890537005703997) (P 52))
(69 562 (593974729711729 61638995313722395352851186436360840773709757269808127) (P 54))
(69 569 (139 3579449917899797406622082424582083020250779609) (P 74))
(69 582 (277 8418301669 7153743935112388322688806665856420127589) (P 70))
(69 584 (139 13577664882784959891579573775431344533) (P 83))
(69 601 (497223302911540046858646772451989459472991931279783038033589) (P 63))
(69 603 (139 277 29891227601148753967246727044739932109354992448203) (P 69))
(69 609 (277 901033759477745751614298597267004708218469299649) (P 73))
(69 617 (1933 213184149128917051 3140544494990834385029733724087612044345066301819) (P 54))


By Tomoya Adachi (October 04, 2002),

(104 309 (937 2081 2701119929 413513005329228923111925736589342033321) (P 66))


By Sean A. Irvine (October 04, 2002),

by ECM
(71 328 (12781 60072002892847746164083 198736199768224466692309481) (C 123))
(71 330 (959921 5315417822975667791904843997291) (P 140))
(71 334 (7903579 157032011371 3508264918237697980923480956417089613) (P 123))
(71 691 (218492589801858440144286771679910160734366591) (C 155))


By Sinkiti Sibata (October 02, 2002),

by SNFS Ver 2.01
(81 193 (3 1297 7129 1049599 1325798443 79431535901575205706409672249650154051) (P 63))

by PPSIQS Ver 1.1
(81 497 (20899 83560531595151893131 36612710330904856028397799 88144125650871797475738604099) (P 67))
(162 236 (3 163 487 395804186899175933819427763 668890019260275579513660997) (P 70))

October 01, 2002

Errata pointed out by Robert Backstorm (September 27, 2002),

(Last prime factor lengths corrected)

False
(47 806 (283 147487 11773715644959113023 589761360599124737950006496471054669517502593101) (P 61))
(104 963 (6254561 88652672369 1217350680835936612780403473 9536873210917501653817030941134041) (P 64))
(138 744 (691 141146419326150937 8812821129360767894777722639386997) (P 77))
(174 576 (134677 12137544658069 52057217527573 814101762419394697 628255219421708103965948688001909) (P 73))

True
#(47 806 (283 147487 11773715644959113023 589761360599124737950006496471054669517502593101) (P 60))
(104 963 (6254561 88652672369 1217350680835936612780403473 9536873210917501653817030941134041) (P 65))
(138 744 (691 141146419326150937 8812821129360767894777722639386997) (P 73))
(174 576 (134677 12137544658069 52057217527573 814101762419394697 628255219421708103965948688001909) (P 72))


By Satoshi Tomabechi (September 30, 2002),

by SNFS 
(61 241 (17419852131689837617497653045041754251902279507839) (P 94))


By Tetsuya Kobayashi (September 28, 2002),

by NFSX 1.8
(92 812 (5521 132603649 461114490325038145716428504148816404809) (P 78))
(92 820 (4877 37997 98533 165601 23006530810314622946259385234238158317863623708218073) (P 58))
(92 831 (13249 34326029 536853914915597787546409834417791503433617817207421) (P 67))
(92 839 (277 497966489239673 18425577400713616833547811142169226089885853) (P 69))

by mpqs4linux 0.61
(92 947 (99332171077950782299373 115231481225863827671967138030344172682169310540469) (P 58))
(92 970 (277 829 2932425007446697981 67793374525331483481443954024373465616628674070041) (P 58))

by GMP-ECM 4c
(138 651 (306806831303246107 8439978679865224847120736165105648677551) (P 67))

(105 759 (211 88704001 5743677617269971746099057122561 1416017917267515712283906657500981) (P 65))

He reserved all remaining phi(92).


By Masaki Ukai (September 27, 2002),

(112 723 (113 449 52529 171473 21207761 6807608805694843774091424989393) (P 85))

(116 545 (12218629 869396569 29270779716972594547951313) (C 112))

(118 812 (498787 264885691049541793693269373) (C 137))

(122 981 (367 3920471 5228921 291536453636522202660323 837794079275397921224503) (C 117))

(124 593 (16369 37573 292423536603019032445441 38526563587503197541848153 8411562673847300595099862486933) (P 78))

(130 378 (131 521 276861100960338852020311 45300619438243512807943412051) (P 67))

(134 478 (4289 148339 63651348428333 148615683638908598318711) (C 132))
(134 859 (258617767095357547 253371696779363908676638517) (C 150))

(140 812 (281 11621 552581 906154789961 224041948778446792938515621) (C 90))

(144 852 (60227137 498879793 68448103732348004593048138178420737) (P 90))

(154 779 (1869013665764732876304342043) (P 147))
(154 822 (70841 169517973210405275635873) (P 147))

(160 460 (602034721 17743993081062881 4998892185883246319015619443626840961) (P 109))
(160 794 (7198795490264176173121 75278347368643546663645225816321) (P 132))
(160 922 (3678881 26438561 4727146792801 3175547022321658171213121) (C 139))

(170 244 (3292974204215099825752605150671) (C 123))

(174 261 (4177 83118005307973 268923746429382881500592282701) (C 89))

(186 673 (373 6656011 21431696816562913807017314911903) (C 129))

(198 346 (418835737 26941695438293026829095714057) (C 116))

(204 723 (8385662152996573 952624826677768062961 351826097815463297899729249) (P 120))

(240 627 (24529040640971761 5662628773832710610444161 482940007197572077056785521) (P 112))
(240 794 (241 4801 9601 308641 876721 7386961 65810591513646591363810481) (C 132))
(240 899 (499588702882145262167012641) (C 163))

(67 860 (269 2534813011 2921850073177313 149535295881069982201606424605615099) (C 132))

(71 552 (59926590305409239 146428417019818500421 1877919155326816276562232139 4447357621875590838801878221) (P 101))

(93 150 (6239297412742262204669622859 97353310538803909293258079249) (P 74))
(93 590 (305345369106541 15795290017436520254190451 1761604335865221161336395658143) (P 97))
(93 639 (78307 108439 2331139 13741031659333518296889199 274427000481125478652900564537) (C 98))

(99 413 (2838446213450711485516888753) (C 130))
(99 470 (199 397 2913297073633 39978952955307224625150847) (C 118))

September 26, 2002

By Sean A. Irvine (September 23, 2002),

by ECM
(71 290 (8237 1722319 3014093 83844611 17493993739 140944568876417809789713859571 5671716704392524572078419730607503) (P 75))
#(71 298 (853 130632115877 285546972709 8758209926407 827562530333598208361 4716849582608997189072526466353) (P 84))
(71 302 (569 892471 1556179 484810153 86658997177 476802668256221 76844439267240436264435796447) (P 96))
(71 304 (2557 4261 26273304010561 216325214292993303715773998441) (C 125))
(71 310 (32477957 6022877871166397 15059136485224576709642476618104583) (P 117))
(71 312 (399002234301011791 3769062703419429085568367216412692739) (C 121))
(71 313 (7243 580639 244460243 25216977819991 35801010858521408788117 72571538737378263890745469753457) (P 89))
(71 318 (853 4261 15053 471299 39103174883 104997067121449 1148590493745955816738728260201) (P 105))


By Tetsuya Kobayashi (September 18, 2002),

by NFSX 1.8
(92 775 (11789093980687957 62230345682524240027486226388815676464500829) (P 68))
(92 781 (23356656754661 26732975354814556622839780364548012203943198369021) (P 65))
(92 785 (1289 58818012748393 5620179839623287007714220874823990352116307159077) (P 62))
(92 786 (137909 198861683681 420561305356448002009815905992417734819749) (P 70))
(92 796 (3619425913 370715636806161022844171918171167148777124934577833416413) (P 62))

by mpqs4linux 0.61
(92 945 (1657 2124292886393749507001 15682205668328447951640458710590982621) (P 70))
(92 955 (1381 3313 1220012921 2062123697 1320021970471588144612209637866369704423649175684829) (P 55))

by GMP-ECM 4c
(105 281 (211 421 47251 35243266219891055955273003275703064321) (P 71))
(105 684 (211 12391 8429021606638408861 35116797356918893630828920943661581) (P 77))
(105 914 (211 631 1051 231631 3162811 2378146542251322901093470751 5260714767176399154436218243482130571) (P 59))

He reserved,

(92 774 (10510577216855594533) (C 109))
(92 910 (29849339281 77813273401) (C 109))
(92 947 (99332171077950782299373) (C 108))
(92 970 (277 829 2932425007446697981) (C 108))


By Sinkiti Sibata (September 18, 2002),

by PPSIQS Ver 1.1
(162 162 (2593 87837478862244675139 312795988984512183463597754948377) (P 64))
(162 328 (163 4051 16415137 2020939550353 15308302515083911 19857586025244689111468678578502598539903398447) (P 49))
(81 366 (1621 10531 16499701 10109219581 100804916770314769 5156843101227586492366775436439895269) (P 61))


By Alexander Kruppa (September 17, 2002),

(69 407 (40431793 26606501190782329849221336642571156759329653382761053) (P 55))
(69 410 (5046090416336959947829665979654684430593212451) (P 70))
(69 417 (229771 16163664327619066873210337448457971444974348527567) (P 61))
(69 419 (9072949 174174798528433545334359952314926171412247) (P 68))
(69 445 (139 967 4060829557487299332351424058456526160327782042827233447) (P 57))
(69 463 (139 246608543743118270346158601047150693867931124873) (P 68))
(69 464 (139 4160666968065203464736807987111118862148167348471) (P 67))
(69 486 (139 124339 11296471970152420745980575966016100840161) (P 71))
(69 527 (691 102259 248899699 553722036190164735978057255168854877841) (P 65))
(69 534 (139 139 4003 5533972363 8048687712497942285565438272559155340279225128527) (P 54))

He reserved,

(69 541 (139 64200529655407) (C 105))
(69 544 (139 41263 593401 2226493) (C 102))
(69 562 (593974729711729) (C 107))
(69 569 (139) (C 120))
(69 582 (277 8418301669) (C 110))
(69 584 (139) (C 120))
(69 601 (1) (C 123))
(69 603 (139 277) (C 118))
(69 609 (277) (C 121))
(69 617 (1933 213184149128917051) (C 103))

September 15, 2002

By Alexander Kruppa (September 12, 2002),

He reserved,

(69 407 (40431793) (C 108))
(69 410 (1) (C 115))
(69 417 (229771) (C 110))
(69 419 (9072949) (C 109))
(69 445 (139 967) (C 112))
(69 463 (139) (C 116))
(69 464 (139) (C 116))
(69 486 (139 124339) (C 111))
(69 527 (691 102259 248899699) (C 104))
(69 534 (139 139 4003 5533972363) (C 103))


By Sean A. Irvine (September 12, 2002),

by Leherbauer/CWI SNFS
(67 167 (17561639 44387231107114819606333837803641782109667493) (P 96))
(71 167 (1464163 358483166532076473077958629077013408306985025076090203) (P 96))

by ECM+MPQS
(71 266 (140320518504037097 452772806842255026402991 108040469638074851658530119 1484909231656707912658075642268493172824347) (P 61))
(71 287 (1279 36994498799666044073 1042569152338945282812919 5819829512572433885964292709212631 2056405264183017335351312922624651740411) (P 53))

by ECM
(71 242 (168003041 546038347857842919446384863384177) (P 126))
(71 246 (17467 32503985742813881037377 1683774637893822787434466066723) (P 111))
(71 250 (7290991 2110388958424891743438703711) (P 134))
(71 261 (66173 178921 195065543 1304217833608734379037126279892614579) (P 115))
(71 263 (47930284573114960932907 426916318029600055082473 42905253767051157411677955413 258886930781656751864633236409) (P 66))
(71 265 (2628734861189107579 124572995405902495646897765358203) (C 120))
(71 273 (1279 1847 975967 370293842238316650337 449431533734335484199322756385177) (C 105))
(71 281 (57563677 140564788563092603486965072423697) (C 132))
(71 285 (71 1607640594825709635348383317341433) (C 137))
(71 290 (8237 1722319 3014093 83844611 17493993739 140944568876417809789713859571) (C 109))
(71 389 (146858780406109817123654781314076668479) (P 144))


By Andy Steward (September 08, 2002)

(67 148 (11257 200345947 876745920449234643116204041959983) (P 98))
#(67 150 (10230097 122958260489540778289676655167 207862148983932854481716877728564649431) (P 70))
#(67 155 (3083 155104355425697 2590097349249759056990321951 1432612560634478268689620380279751605719128302973) (P 52))
(67 187 (2446825510313 77766168473735118023280300354907) (P 106))
(67 220 (269 36817025811541553 51009364634358082986949138531162542133) (P 98))
(67 273 (6864553 205054439 363804642944763967790562085907) (P 117))
(67 276 (498749 34748132281 91078516990497238482823 56858821277404841059823039303) (P 94))
(67 509 (1877 3212874944940166310754261452839) (P 145))
(67 814 (16349 76161135484575007 73775398860076349012880638931653) (C 140))
(67 976 (269 145363469 840208141 1759536646215290961324282732092774345301541) (C 136))

(71 273 (1279 1847 975967 370293842238316650337 449431533734335484199322756385177 29181563546199541534415361459642517743277) (P 65))
(71 298 (853 130632115877 285546972709 8758209926407 827562530333598208361 4716849582608997189072526466353) (P 84))
(71 311 (296071 299479 970446130504541397249143 3957933732063387651003457123) (C 112))
(71 497 (569 433774240410955289198779693) (C 160))
(71 637 (32372167 45500536703837839295030460973121) (C 158))

(73 107 (56503 3186382446940692015343931 15811277786527714746542383 1843010219686144212948537131 116042851963390937851485614653) (P 36))
(73 112 (439 213307 1520256391 1794139843971308419 995133612885129452049504613 4284771756233749951790374608510581) (P 52))
(73 138 (11865421 112190759256680921408116339) (P 121))
(73 149 (293 39430802606305442644489 173615195830756540452915451397 2161110472183919831767148436932228522743) (P 63))
(73 180 (6571 842743686418058632968881) (C 135))
(73 186 (293 61613 12869249103119011 84437636561832389593704670411) (P 112))
(73 187 (22777 1631989 259803443587 29047184880282629068709 7906570910578481854013176619) (P 92))
(73 273 (11046145433892318876961 7281923997735801082888570249) (C 126))
(73 298 (999795299 7039441937312068433393 586901657870460012995741599) (P 121))
(73 355 (439 28135634808169074104911607) (C 156))

(77 298 (2311 3389 5274879611 124559600035459256111202966593 50259943391249856809375796406102365970850461109) (P 57))

(79 141 (6163 862997 4097257 2492294019811961 855511258337816027216827) (P 112))
(79 157 (28458013 8827100148203789 31486688581769393666314156087 100831048335006819574021648051607617) (P 85))
(79 187 (1423 5689 1280980001987816307778459) (C 147))
(79 228 (35393 3470008957 1985967638635511726538524261) (C 143))

(83 105 (19423 52291 113213 88109149 31428248303 2456234816346869 310292911200160580633377433) (P 92))
(83 111 (499 1163 172807 1594763 202363408217 539294980486043 12432544113104771225054902447 71017837354508612933049344212090299624192670451) (P 50))
(83 112 (167 18197292840151 1283880354736709 514681733953653979 2399414623378137681815038333603) (P 90))
(83 124 (167 499 997 2196862635488691767373473) (C 140))

By Joe Leherbauer

#(69 311 (51413046767427707806234511314284568283061320701) (P 63))

(83 56 (167 130858963 205162739393532471272191755123460043423482979) (P 89))
(83 57 (167 670925936486112689920633761890187396814530557184596548342039301423) (P 76))
(83 58 (167 681763 1053271 7218677 147141215502981471533169132776356694177983) (P 83))
(83 60 (108939023416285082711057554261 44666587580395506572269356931454333226022486832341) (P 68))
(83 61 (167 19728889490753 683957621765051274902288017673499396777515697793715765005943) (P 72))
(83 63 (167 5479 1243673 42608783916215057011536841370454233869866493377891342467) (P 80))
(83 67 (499 997 5884749395685413352029842474545959697443) (P 105))
(83 68 (37517 268113407 15593722133457959 32820924888439082150296829303844467959658687) (P 78))
(83 69 (382141845791254416313 4675868314115737456883725125435254331874073) (P 88))
(83 73 (5147 510931991293 93610714966051 2364484930036762140097381737887296003250145694695078984881) (P 67))
(83 75 (167 997 1020932692995474823316634879070224337) (P 113))
(83 78 (15439 2838601 317899527988199649721403654011431715867429388465443) (P 95))
(83 82 (331337 95736019 27018958129 1945606940604200995787 2374979611641507240839179593529456253791771) (P 70))

(89 47 (179 4434337 5110696663 9499515091276121 163699800941908247271122454654650540487573084990530645927) (P 57))
(89 50 (332860294057 91967849644689649 41300116274092802427640687563322453437793163215564417799903) (P 63))
(89 52 (179 10859 74151409429305140043448021443291552176931488728096225166101326328903217) (P 74))
(89 53 (3613020365427892778241229826471897 14922727081792744558799347954725662285602527427) (P 73))
(89 56 (179 1065708410908913429877729695417 477290036388290390122259326843702708626720845293) (P 74))
(89 57 (179 1069 11393 1519027253017 18296225677370736492010650701443058036243 2312084856902203571949829071875751545527201933) (P 48))
(89 57 (179 1069 11393 1519027253017 18296225677370736492010650701443058036243 2312084856902203571949829071875751545527201933) (P 48))
(89 60 (179 6053 6991129 1156349073203531 7448655070909259 113494020417313770646533709998538160763074597464080905407) (P 57))
(89 63 (27138830076243331 212647871722424420620374131489302189126748320860871686338729371) (P 80))
(89 65 (179 11927 13860364190522469826056786612745845126457956785774075834414111963) (P 90))
(89 68 (179 45569 143291 893684973414038622249273852554886714571454231052793689097379699) (P 87))
(89 70 (179 86509 4428390665455588747079 4122141837576045770197860444703702384812561670267) (P 85))
(89 71 (53669137 1293644801117 971048012563753719841 192317811198213760389903649635416442023645086449744913) (P 69))
(89 74 (179 3917 101982787 959091582703 28285325582743842951042481457854230522360238332478655266297156720759) (P 72))
(89 78 (2671 31151 706385120642773727 43661122868450803501323512788961841555358418045298341345386865051399) (P 74))
(89 97 (47527 8467199599205866993 1813145055108713761987691035518478201 376925968734524573488923157508628881561441) (P 74))

(91 63 (406708099120319054551844419977267373397747271906271729457) (P 73))
(91 69 (1093 2028855736032662229324365954536919628786894542369986190621) (P 73))

(97 39 (1553 2421315506419729878131411291026382426829864046168200033421327589927) (P 84))
(97 40 (6791 44356764105313325507 6965296944772024498251529006188880973) (P 94))
(97 67 (389 437471 2790497 975948678525781 21853636435146126475494253672717 86532055314307637410775430203039603663) (P 77))
(97 84 (31328867 636116504671 8331863965301629 2520685158045079761098209543320391319 1666558693643627869653770520270160354385311) (P 71))

#(116 576 (233 4177 33641 468871769 104012554897 40935488775689 947846421874122526251279856249969176614051140616593) (P 60))

#(118 361 (1181 6373 229393 802873 2137436868392576378753742282490375892837) (P 91))

#(122 400 (733 3438156848947609 1947690686412054301852289837532430711997 4458418147776276968358937904927890184567213) (P 56))

#(128 400 (257 36097 12818782843691777 1824448644331953437805185594358681323803649) (P 102))

#(134 196 (761679078553 665308556453665441 76688716866087208605859602870087304721) (P 84))
#(134 225 (269 1609 1644706561943793682049643760596930144672057309890166463201) (P 93))


By Richard Brent

(53 977 (107 74703863687 145056568141 35249307588668755644206944181 90997196182920063666998615817056703719611) (P 62))

(116 400 (233 1510321 24913104053001946106916314900846713 40294168346698072709937499383339568632772697) (P 60))


By Robert Backstrom

(53 257 (719644744373 311980599694983423669679719669301746086303369) (P 69))
(53 258 (107 11518693097 163653864054289167555282540214485866855745921121272705649) (P 58))
(53 260 (14953962060469 70528012558172607357215227750102118441899018100173) (P 63))
(53 264 (8269 1132823 161799122145104444260351603937 661391754862420017522912203487281) (P 54))
(53 267 (107 1514156965157551045145812005564776868004586707) (P 79))
(53 270 (107 5407 49281609905585994790480352865006794127797289332987) (P 71))
(53 273 (4901971 39637180938522394866127688396924843949731055732967519) (P 68))
(53 274 (725041 96751931183497382620238168383217 39134570508472582561022491573824858169) (P 52))
(53 276 (107 689068297326747708926115260192860279921) (P 87))
(53 277 (87557 73943467396259627215147726848721185152295779314681023217) (P 67))
(53 278 (107 743 1061 29936521 1710815573028250109683050293) (P 85))
(53 280 (743 434684428760548324443242902375643) (P 92))
(53 281 (63201575377743645049766986957513765841678405896490617949) (P 72))
(53 282 (10292249206854680663882221927697168266927201) (P 85))
(53 284 (5407 1581391541424668583044342741036312205226720823324364122183) (P 67))
(53 287 (82787 99052754823292495128178917894613 622725578696044602343170902005905161) (P 56))
(53 288 (53086252981013513 382858851682729654276837404560881 13551742695396413382569027509350521) (P 45))
(53 291 (95083 62726303587 19457145604207688634630566529975096217113320341) (P 67))
(53 292 (48691707748298766191579551043989) (P 97))
(53 300 (107 2068273 1344192307488945308098211983780778879) (P 85))
(53 301 (107 56758176938665009 23366964335447902747 2529533318664182099832194283730321) (P 58))
(53 305 (31955192600417 1473612835190219 86467922796686070252966167221500803202029) (P 60))

#(59 150 (1181 486043 13456249 7529992829701537174634201812521580817309) (P 71))
#(59 155 (10739 557021178871 4986035081037319004298591629639736913845494068571) (P 63))
(59 173 (9295642724980644980943552449896043819) (P 93))
(59 589 (11273992699 48732230629108803852901867 65855535423642884382425591 397059377171926327570580592505287571957) (P 61))

(61 202 (29787997212868269848348048788931774699) (P 101))

(67 107 (4021 15277 19785488890516288683940617697889) (P 95))
(67 112 (10124034733 19884091685031947216730467168403559997044279) (P 82))
(67 116 (11167245031136366536150471137237569755234919357) (P 91))
(67 119 (269 4289 6532869662987 461387119196181309920143953276135168451791973529) (P 71))
(67 135 (67 106129 6155229922562428905810931954424341603) (P 97))

(73 112 (439 213307 1520256391 1794139843971308419 995133612885129452049504613 4284771756233749951790374608510581) (P 52))
(73 145 (439 3045011210124749 66347400506376259 4890678191357637931069 2964806361490290616319025216083) (P 69))

(77 105 (617 3478813339 11435087033987 517577081348773924130433026663885161) (P 61))
(77 111 (463 350486247516205687657 192023665638103074734861148801891113869015713713) (P 53))
#(77 298 (2311 3389 5274879611 124559600035459256111202966593 50259943391249856809375796406102365970850461109) (P 57))

(83 111 (499 1163 172807 1594763 202363408217 539294980486043 12432544113104771225054902447 71017837354508612933049344212090299624192670451) (P 50))


By Sam Wagstaff

(97 59 (1198597568897 133200772852248177197940388698878371) (P 123))

September 09, 2002

By Tetsuya Kobayashi (September 08, 2002),

by NFSX 1.8
(92 953 (258521 465273718219326431420506699736559186026577694313) (P 78))
(92 971 (3313 169591214118302837790539122907809449409083585557) (P 81))
(92 994 (461 49957 916073380378845750259086239309626198812649) (P 83))
(92 995 (6607717 14806607832947419165383876688878495766872879486588994376153) (P 67))

by mpqs4linux 0.61
(92 834 (1902193 133679006795473081 236516178567039831683338087107451129444038781) (P 61))
(92 848 (189613 61066547866283749 1627978928286150823302165556216192463053590377) (P 62))

by GMP-ECM 4c
(138 335 (7039 84564706924913439522700666502067468001483) (P 67))

(105 802 (41445844268001062878591 58093104036593788027796920651894382559361) (P 77))

He reserved,

(92 775 (11789093980687957) (C 112))
(92 781 (23356656754661) (C 114))
(92 785 (1289 58818012748393) (C 111))
(92 786 (137909 198861683681) (C 111))
(92 796 (3619425913) (C 119))
(92 812 (5521 132603649) (C 117))
(92 820 (4877 37997 98533 165601) (C 110))
(92 831 (13249 34326029) (C 117))
(92 839 (277 497966489239673) (C 112))
(92 840 (163853 145485176029) (C 113))
(92 849 (704807027677) (C 118))
(92 852 (56749266661) (C 119))
(92 886 (546084769) (C 121))
(92 901 (268265653) (C 122))

September 06, 2002

By Joe Leherbauer (September 04, 2002),

by SNFS

(122 400 (733 3438156848947609 1947690686412054301852289837532430711997 4458418147776276968358937904927890184567213) (P 56))
(128 400 (257 36097 12818782843691777 1824448644331953437805185594358681323803649) (P 102))


By Sinkiti Sibata (September 04, 2002),

by SNFS Ver 2.01
(81 190 (3 25111 46574473908180571273 5373806212282945084940723752659442793394015040177) (P 50))

by NFSX v1.8
(59 175 (709 40357 12432318341 62463179641 17087149204802074876529066810451049) (P 68))

by PPSIQS Ver 1.1
(162 138 (300997 345547 51837215869 892097821874135326698839533502345311) (P 58))


By Tetsuya Kobayashi (September 01, 2002),

by NFSX 1.8
(92 764 (29717 3808157 9309941 12078555555581476231163812179085303229) (P 72))
(92 925 (1013 136069 6573761403149286100465002789520357864797292520745723353) (P 68))
(92 935 (277 461 375521192859908439803360351020210792460135761) (P 82))
(92 938 (108168494489344091582307799482438390411974447893328449496957029) (P 69))

by GMP-ECM 4c
(138 960 (139 691 829 440911 148657125128943908046539774486997077951911) (P 77))

(105 556 (23407938553664796858370561 30439216826118217950294138323623621) (P 72))
(105 820 (3668701 3691258998244425332357814312214770121) (P 97))
(105 928 (211 9140671 33681163258455511 38692884354920637566433418695651152131) (P 80))

He reserved,
(92 834 (1902193 133679006795473081) (C 106))
(92 848 (189613 61066547866283749) (C 107))
(92 945 (1657 2124292886393749507001) (C 107))
(92 955 (1381 3313 1220012921 2062123697) (C 107))