old log (May to August, 2003)


August 31, 2003

By Tomoya Adachi (August 24, 2003),

(142 146 (1847 655561009605466357990430937241087) (C 116))
(142 151 (3961220932926827587 6462701483367586498467795727) (C 107))
(142 165 (19739 130783 235129433172983948518191847) (C 120))
(142 241 (2131 58494487 929498788228450547 4971080241766557628430082128861) (C 107))
(142 271 (853 6126023 7140686921154618499 207555832066507708627331897329) (P 113))
(142 280 (12165968713 195976147888846064432170892831) (P 132))
(142 288 (224929 97762883 611855707 535942906049902071841139) (P 127))
(142 333 (422314988610477029357263 150567347127383508354715528357) (P 124))
(142 366 (23351759 183138792790103 2787174394809845383726884557249) (P 128))
(142 432 (32027763732824234793751 177958378398149469854083044469) (C 133))
(142 444 (569 2699 45377277607 3584817234320045231782928281) (P 141))
(142 451 (73353115368739766958067 35601644969857353303703697797) (C 135))
(142 504 (853 2131 1279847 52829530181110300296964324433) (C 149))
(142 534 (6906689367622234809945703607) (C 164))
(142 550 (853 63901 11225606724917416499 767305247016997516267277 2085956899036475922870877) (P 117))
(142 562 (14082283 56980101044389 643935768775904219 50038468824533680546421) (C 132))
(142 592 (2557 432116327803 70363871760150298444229 37535652639086421697740077) (C 131))
(142 600 (18605683907 7307938217023 5480577744260770007501 23706364632675339199609788734023) (P 119))
(142 607 (1847 4889771 2010483282224647 1296995975119551326926030709) (C 143))
(142 632 (3186481 20850177371 5074769189653704802839104833) (C 152))
(142 650 (569 110781017 24134642860574965492483529) (C 161))
(142 663 (200772122129 36691297141502191292785559471) (C 158))
(142 686 (560617 25930709461 740816175904642603 788500562093788412832167) (C 141))
(142 692 (2273 28943861 923405837 992999888564343739267667 105502113325248586086019463 15596498080700412866471746147455887) (C 95))
(142 696 (109199 6305711641 9303713161844956930667) (P 163))
(142 704 (1279 847741 235729113952568199187209131) (P 164))
(142 706 (853 1875106488331929288427 713175991466876443340353518323) (C 146))
(142 720 (1847 47033158307827 9542624537555736432788947 685920623789396703094776703) (C 132))
(142 730 (853 1557883 1558309 26345486491 206104665828727 20380293745094837790209 21427025871358680665775363167) (P 110))
(142 755 (34579273 31799585791 40350277717988794246637563) (C 158))
(142 767 (1279 52541 739253 1981753 20060110213967143 11266246131105072430830194063) (P 138))
(142 791 (58789 89603 432408651133 3295269921259954949628491177) (C 154))
(142 799 (17709389 148956290321 3999746183176213 175702179194509361458413163) (C 143))
(142 819 (151721321 79514846209259 7856432353967383 7375784197153698555831061297) (C 139))
(142 844 (853 374099550361125917387 637016288483295758610723181) (P 155))
(142 862 (64327 12175814299725670718119 43153454076447830079863068817) (C 150))
(142 881 (1681198323001855721583061 15414357070371485530118823881221) (C 151))
(142 882 (569 47713 186389059 11550185956241 2741260248829786202799925541651) (P 147))
(142 892 (1847 335689 181317925718548133 6343815024922767316277465111) (C 153))
(142 937 (2131 4261 1269197 3957266083 248630228036962909309101089869) (C 156))
(142 947 (1279 2131 1455467143884511 1969117082927615245906191601) (P 160))
(142 993 (71 53823823 104662379 12913885684610284429568582433131) (P 162))


By Tetsuya Kobayashi (August 30, 2003),

by SNFS 1.5
(140 134 (206118987505719461443130399064144568507321) (P 61))

(180 136 (20112236729495200523331610007365889821) (P 66))

(210 129 (566721980538522424697403258152144528863616011) (P 57))

by GMP-ECM 5.0.1
(112 240 (337 21395768879540007226286820334734119249) (P 75))
(112 344 (113 1009 100129 778032641 62093646888307506349681490981497623841) (P 66))
(112 360 (113 449 90628623106730230882116091733777) (C 87))
(112 858 (113 191887361 26311088161 1463956175966257 27977277847068312650918585215697 1752182523240473621041048110212561) (P 41))

(130 670 (2081 269499592181 587503916428585678957775118251012801) (P 86))
(130 749 (66431 5743939564229140419585687781 19731797153643368343533071214881) (P 75))
(130 865 (213853986251510364683177893396291 267285790462426436491271912799646721) (P 74))

(140 172 (421 104990797401604683488594607010261) (P 73))
(140 540 (8403553183466516572937523581) (P 104))
(140 582 (281 62861 1965539681065122087661 45907715849088286832397668791506241) (P 70))
(140 662 (229321 315087458945032483695026052901) (P 101))
(140 670 (421 480061 2856001 740060280641660059610468683784881) (C 89))
(140 704 (136501 1685663253001672160949041 100277179186128359336330336502541) (P 76))
(140 992 (281 6301 6581 169738436141 71647766347894492397893301 106566905154179555486755971054481) (P 65))

(144 650 (27361 137089 1073089 332676433 32290326883062916370149254455040049) (P 77))
(144 769 (433 1297 34738374598398494384132573275681) (C 102))
(144 858 (39016097006124255686992283761 2443758212098579723963761293649966529) (P 76))

(156 362 (13 6301777 156884175853871430262057768009) (P 86))
(156 642 (8893 39313 24039575240903325605465184589681) (C 95))
(156 759 (157 533053 236046409 2899594445019912716158017770879461) (P 89))

(168 215 (75901897 96585090946367269976649728836522153) (P 70))
(168 394 (95257 240468097833732986911795913113 2857684900215037696076900081113) (P 60))
(168 421 (1009 84372932992395345452650394063761) (P 92))
(168 592 (1009 1427279818609 282531733380698103974140558567224839737) (P 80))
(168 606 (23857 25033 6386233108512887819113 313790986504495296567545626722193) (P 71))
(168 825 (29569 651861841 789683252161610209993681219422673 1643444542804769560289962294900729) (P 61))
(168 993 (2017 8737 181287289 844902236845065673 134105742844184816210041386837999769) (P 76))

Errata.

False:
(192 992 (6146630209 490131333994967958721 796773970317716253632200425409) (C 132))
(142 931 (107069 83638443751 290152693500149514324890471 14536952089881949880944959767) (C 138)

True:
(192 992 (6146630209 490131333994967958721 796773970317716253632200425409) (P 132))
(142 931 (107069 83638443751 290152693500149514324890471 14536952089881949880944959767) (C 138))


(August 22, 2003),

by SNFS 1.5
(168 132 (83783935316134856006840674698577) (P 70))

by GMP-ECM 5.0.1
(112 348 (337 19618033 476869700263909184790759590089009) (P 80))
(112 349 (113 9665554233544743194700992840969201) (P 87))
(112 425 (113 337 1009 804497 2409712112578856805151437438980737) (C 80))
(112 562 (113 1009 748829795617 446627775675124326883074831599672353) (P 80))
(112 634 (58071798266220263152498914949249) (C 103))
(112 858 (113 191887361 26311088161 1463956175966257 27977277847068312650918585215697) (C 74))
(112 911 (287477198305131405912073954178273) (C 110))

(130 395 (131 10271 95240738351057911 7803719405984176749895821801253181) (P 68))
(130 713 (589291 64484272592243575500911 1254723460835571021128539385161) (C 79))
(130 781 (131 1951 2731 3511 1171301 65546913587227750532825884428971) (P 89))

(140 669 (701 30241 37998456838237200516971615246441) (P 97))
(140 730 (66025970081837501 7580507661846118400433549551734421) (P 87))
(140 908 (2685481 2107958779192324647432598633525081) (C 103))

(156 516 (5050657 9059389 17930035414353431638266510228301) (C 86))
(156 529 (5685443089 328398422782109071406862355200102073) (P 86))
(156 675 (2263249 2937353017 611098430269191928770678566401) (C 91))
(156 891 (13 3268540237 60059003870628055209367415165376119257) (P 94))
(156 901 (313 8269 33998623777 41806392275829481 254260860784758061646738195790649 8513232855289213843094168153212081) (P 42))
(156 944 (6553 88051901259564597759997433101) (P 111))
(156 949 (2341 28081 3554644302268188889157821815369549157) (P 99))

(168 655 (203449 273001 209248067254369249 1549738262578498523466557423037565729) (P 71))


By Robert Backstrom (August 19, 2003),

(130 823 (131 1171 812843985968140994637437833042411 1254770303363417590763123564302421 2212063590703069277585972985313111) (P 36))


By David A. Miller (August 18, 2003),

(192 181 (45369217 246423775810324795357778222438401) (P 105))
(192 213 (991873 142747009 262877854070547537951254113079809 989290699680407215865245293778562441093953) (P 61))
(192 408 (193 8641 717697 2928724406893524598449221622529) (C 125))
(192 484 (721424930681948781112158548353) (C 142))
(192 618 (577 595749293305476573997540314355777) (C 144))
(192 661 (193 769 6254147329 30741041150318356093935963409327055617) (P 129))
(192 804 (1153 99196241464775311312167893745601) (C 151))
(192 846 (769 2113 8389748961712698380452449547777) (C 151))

Errata

(192 992 (6146630209 490131333994967958721 796773970317716253632200425409) (P 132))

The cofactor was wrongly listed as composite.

August 19, 2003

By Toshifusa Kinsho (August 15, 2003),

(180 526 (8641 5480929900281346555501 79596167939918266163292361 20695744101751281342427866148024741) (P 45))
(180 765 (181 1621 14805425023218901 530825768888967469850776105501 13212656894347994455326113899349161) (P 53))
(116 183 (233 1277 1235981 309207819113595588157371161 4805237486301871511939596061002684632909797) (P 46))


By Tetsuya Kobayashi (August 15, 2003),

by GMP-ECM 5.0.1
(112 426 (449 781583673933820198112436961194775729) (C 88))
(112 609 (286721 18751937 425136226369 153058887914441434561313455704890657) (P 75))
(112 805 (14561 2461649 209393003569 2895948132964383015940946246737) (P 88))
(112 815 (113 8513 33986638897 27538651056705486190505140746913) (P 92))
(112 826 (449 11342814606217397438697409 256617406124501436050781240049) (P 83))
(112 845 (113 502833232078233989305978335697 2278784215655180973822673757890081) (P 76))

(130 333 (911 26261 16226419848861487565578848769256726371) (P 77))
(130 520 (131 13554270935521671348878219467211) (C 98))
(130 524 (911 22828281841 1688042123177158862951464391384491) (P 84))
(130 640 (131 5851 126023046478291 16177936727055523681299832090422971) (P 81))
(130 746 (173464591 17665222071251 2599987367933226831457531834331) (P 86))
(130 771 (131 8581 83071 1034688078901813859802241 303455179679290803698256212101) (P 75))
(130 813 (496211 35779550763240347519595212319871) (P 103))
(130 823 (131 1171 812843985968140994637437833042411 2212063590703069277585972985313111) (C 69))

(140 246 (7730684390372240736293577330314184795661) (C 75))
(140 426 (281 67481 391392353992501 161908498152344992584248112541) (P 76))
(140 483 (421 16661 959881419485711781108970501) (P 96))
(140 505 (281 5570074851155787942491472809157181) (P 94))
(140 518 (3205946256661 15377338673161501 33442158013110906709092164740798987201) (P 65))
(140 607 (17644703432965006379668440615471821) (P 100))
(140 674 (281 158201 1701841 201226481 775086949896090214125049036241) (P 84))
(140 682 (1570241 13189134889433778473381 62767348139567726358488699492608661) (P 73))
(140 726 (9661 138181 88030741 192885750961 226936007192014022636392472101) (P 80))
(140 815 (385001 80786861 10660954234736500149249423761295959461) (P 90))
(140 999 (281 421 4949141 1005086881 208308864958308241 513923722551196104485240175236262461) (C 71))

(144 118 (576897755269323734050668016897) (P 70))
(144 315 (2614177 39279702827892813711174115489) (P 85))
(144 656 (604801 3822826551126620775376368753795169) (C 96))
(144 733 (1009 27073 4233667008619569101046346413073) (C 100))
(144 854 (113535945073 73821493754628790543406497 226467477934681311579008993920417) (P 72))
(144 885 (9649 35911520641 818503807249 51828988198201333906481823790657) (P 84))

(156 326 (313 4057 42739660993767262645093973221) (P 86))
(156 340 (13 157 103660087156674418122911720329) (P 90))
(156 366 (13 1093 14066095412366211463973675603341) (C 88))
(156 418 (13 157 313 33073 178933 107191383704040097337518937029064588450413) (P 70))
(156 468 (313 93785552911774715230977110813159617) (P 91))
(156 475 (13 129088753 4580397024003088078546113062797) (P 89))
(156 503 (192647164976218798763405054736962053) (P 95))
(156 507 (3433 1456417 2719919992009273 1447425351627355676667444304607187481) (P 69))
(156 511 (6213793 5430119930117332857839822209 3491396244859350929153574479026057) (P 62))
(156 540 (13 157 16833992836957981154653 291600565137087473938566078137338388317) (P 68))
(156 777 (8269 9651253 1597525177 433605811330404901742178214433689) (P 86))
(156 880 (157 225181452537467795063095167469 176412509337176634453776807342408653) (P 75))
(156 901 (313 8269 33998623777 41806392275829481 8513232855289213843094168153212081) (C 75))
(156 952 (313 2890369 45485593453 76096400173 64029536693719730900757698046177939449077) (P 72))
(156 962 (157 17946193669 351877472934823982299453 8548932534933774913597679857) (C 80))

(168 453 (135913 1520728695728364731828856267144193) (P 90))
(168 487 (443353 3084649 384950033996541198612214241965019713) (C 82))
(168 620 (5324993857 9193065245449 24903351163381865323593946967656791944569) (P 71))
(168 717 (379177 22612801 161343337 91882206905916001665841694161) (P 87))
(168 795 (2521 4201 1150581228749000848102309777) (P 106))
(168 825 (29569 651861841 1643444542804769560289962294900729) (C 94))
(168 880 (8233 178417 108961289170948855306953763057 13425004608354927792056405987281) (P 73))

from Prof. Richard Brent's table
(65 367 (131 29698891 336285673751 3433597232060602286199658648129799619079693983151) (P 54))
(65 919 (376401792073061 44842496616833514551187232531 85115925164941692836957992411172889954911) (P 59))
(112 211 (7841 32369 28732627186688348928883632935675479450843057) (P 60))
(112 353 (107923537 809434892331521 39696674475030823854023061663851026365841) (P 59))
(112 761 (5860274729009 50194105071021917913937 54532383789123651532272848822335313489) (P 66))
(130 281 (69031 250357693301 200144253809261435681427971447928846305158338841) (P 55))
(130 379 (7151 58451381 4250397581 5106783511828270874813876794901433679811) (P 63))
(130 521 (131 996045671902550719226053031 125016493565757438696013764069136686567017289841) (P 55))
(130 653 (10340461 50400871 96204421 1322666281 185386205637838994266029637247513774476604770116691) (P 54))
(140 353 (281 853205921 148228478581 125513788360751954944792511968302957950101) (P 59))
(144 467 (47809 298369 2117953 26542513 49465504633137071633980460996743797172273) (P 64))
(144 619 (63649 1047313 1095841 3676753 446568337 1917803459583036754970628726610209435126085426081) (P 54))
(156 257 (82606376043361 41498929803260032290660405746962470040420918633) (P 56))
(156 433 (157 375097321 4815816665949901 119447619466994505683113759716480999529) (P 63))
(156 653 (109489424617 407641500381591911917 19711712865424806344326158943992956659193142601) (P 58))
(168 373 (26881 29606304706425217 672854842618185398095800133736363880322987505534521) (P 52))
(168 443 (132721 450465257675847457 9520787343592275374730299341947526953689353) (P 62))
(168 683 (681913 4517857 78291193 224445036238417 414524583947249309802714323846250645601897) (P 60))
(168 829 (337 1009 1986810169 3150753450492232158001 275027188821669310957346950069344790207372032697609) (P 54))
(180 331 (9842643361 170759111581 2613478554961423918901183632619707288561) (P 61))
(180 563 (36901 91237351700229251919024061 467024634376709396585235330544696964521) (P 63))
(180 643 (5581 1549081 211490565703837254043921 185736479101206476800082581916670027216706741) (P 58))
(180 659 (252528481 648049280205830842871821 3282447144531327080205875776997508041626261) (P 61))
(53 443 (12702934637 311765411663460132189437 141966539771032229773380254164614141687211) (P 63))
(106 281 (107 1052623673 1241365957677169 331263176301707779588696097670008655397) (P 63))
(81 271 (3 487 26893 3675506357081905238881 12412600805211346907788318046432148732064457413141) (P 54))
(81 373 (3 163 12799 1625284411813 6005465748456847741 110778214478042409061950190905626773) (P 67))
(81 487 (3 163 59779 933931 3527314352150897117336595778009 5385260193327864649460872569576597913) (P 65))
(81 587 (8101 5472395087407309 5392667646938297001721042531 1152808253536441166259716975836323289751539111) (P 58))
(87 223 (1567 3237186809881485797420293837 9737802359745924192776896717458967126009412202397) (P 52))
(87 239 (2510819622247 1075140604407839971 54219241491702176266857489511590618362322584839321) (P 54))
(87 353 (53419 125005603 479618647 52561863777171692443 4018009466429178343100961377098297269345181) (P 59))
(116 251 (233 349 12271873 20744727160233604873 206766689201356211333157452758790053213239022909) (P 56))
(116 967 (1741 21670309 492643517349703172115517 1730805045403575151921104461) (C 106))
(174 131 (1741 786307 4800487 13947900666165541128731117113215683074967617) (P 60))
(174 571 (106663 2772561643333 611424701886480619 38992793573422152913 326271769859341984849636576772170999140849349) (P 56))
(77 241 (512358208107131 32522807868107042309405958588983 447634501588584117686817331130977686752737094279) (P 50))
(77 257 (2311 806807 126966301568569 3097766572320760573619 2825215360649835872897499396179786945552683619611) (P 52))
(77 263 (103643 10813094719813 6926903736711111869226281 1176163365366324697484326573533374444011579102054909) (P 52))
(124 131 (21701 89990358424425603119377469 9366265129242902114161764078135736569687533) (P 54))
(124 197 (373 2729 5953 131317 1853577917 727055529953 264214848348754960049654225026100891429) (P 64))
(124 739 (4446498108361906481 19355131387023404733484693 1012684213820923165505534933717 155958666463253455922991425701248572563808437) (P 54))
(198 107 (2377 150103207 38008357201 4805619656483282240036735443942894520857) (P 60))
(198 181 (714781 122280243427 2043889744852297 35668126644695508370721809400576502877) (P 66))
(136 151 (17 409 99657809 11382829993248700105515593 1539816174264055745554953100414122041849) (P 64))
(136 647 (1361 550275721 261126311489 896211699697530504589121 482109478535178516324280868713 19235999286709773972019375040211932147985210986657) (P 54))
(170 947 (4604791 8584151 34016410219198688521 282814143855278525283994841) (P 131))
(67 439 (5897 3178079 84590929281165259 12704126072834085684869 19985787554937565593106271 712378501462685449110263318953946057399) (P 61))
(134 983 (269 2122963 15348763 2608659217133 8186203844483690322654015557) (C 142))
(142 229 (22153 54904727 165280282301 5144305005187937767 42566664458722887321767 224058510496842838751292363897560441) (P 66))
(142 373 (569 3401880811070757068509 3388548077396620360549079 1610910903854907797557899067447 2182676889723710239397269327216351) (P 68))

August 18, 2003

News ! Phi(94) series have been completely factored. Last composite number was factored by Sean A. Irvine on August 13, 2003. Now phi(n)<=46 have been completely factored, and Table 1 have been finished.

By Sean A. Irvine (August 13, 2003), by ECM (71 592 (2273 8521 1562585183 200708415959 6652547227483111 566142317580585776448889624922063551) (C 115)) (71 597 (9941 10651 36795888439093020259388156143) (P 158)) (71 598 (111490307 66827132621 4133729856881 689036995728271409 26947564505415091339519259 20739362777407911987531162130914220933) (P 83)) (71 601 (2273 51973 205101802907184040289 398332105218905385971123 82502952402198529148334077474824343) (C 108)) by Leherbauer/CWI SNFS (94 522 (194863 474983 4751961133 11409938178144777925069855010850987278109165424522081) (P 53)) (94 535 (941 5171 10168108216505590184456119137078383620193797) (P 76)) (94 538 (1787 2135009599407859 71026146151273530527529178914073387682916659777) (P 61)) (94 539 (56130409 53166403997072762512088029089291306469) (P 81)) (94 542 (1787 1797469 39547994406971 221138021463292750961372969249572570487) (P 65)) (94 549 (1693 11040583 1560861402804463 27493777996507795590818481251537830705780579098191) (P 52)) (94 551 (283 659 2351 1857661277 411058955251501827503387496088314162923) (P 70)) (94 556 (1693 454363278723346056491379304622694759126869682511) (P 76)) (94 558 (7333 20681 15835034893 43306354803045627258654438473605759567029227) (P 65)) (94 568 (283 718136347822367 334242015613764372373336119059000737370078588590193) (P 59)) (94 573 (2069 11939 364818043 158839304945768972513806943902624529953759000513061) (P 61)) (94 581 (3730864323931663 466496927668342682619323509412589513456123504707) (P 64)) (94 598 (283 4907315975442584424658558949863165027336565951729274966253) (P 68)) (94 606 (2351 6963877871346276275053340045677519363784547847900483) (P 73)) (94 609 (283 539520718535151803 4940893753409544671090120360601227282910007658619611) (P 57)) (94 617 (5641 901697468723 5030592270113736036913918155324021861258823580380967) (P 61)) (94 618 (941 5171 99282725269821275739630471574827793073063951671) (P 75)) (94 621 (5510820407 685155477397112260816235569968977701327334653) (P 74)) (94 622 (1129 8273 611753 68505509 189651176090983133349223062369034893547528319) (P 64)) (94 640 (35533 14110572557 22478801328039699133557977297790591306417902470373531) (P 63)) (94 652 (49069 8573432944422482458332744967402495619004351833839) (P 76)) (94 663 (1014478142413311601 7351741454623935659836677304674039376475912201009) (P 63)) (94 665 (650605234603 150002043610811153 35243830574400595413965441387543883419487513683) (P 55)) (94 667 (1806869 289177015741386933654091272431837861332686539173603) (P 74)) (94 703 (102089359 2207080142812919779 7828393030749704768114386567988125478568031039903) (P 56)) (94 718 (5171 227387 5425605961229104999 328015107251170040951568338093338949731229) (P 63))

August 13, 2003

By Hisanori Mishima (= me, August 12, 2003),

(154 120 (2311 2927 24667926548381494141666211) (P 93))
(154 143 (1342727 204136805520821715069529) (C 100))
(154 172 (617 8009 21407 93400693 1915775417222341902894453557) (P 88))
(154 174 (157921026677714152068833) (C 112))
(154 177 (8828973561871 4185743251405942655087891) (P 98))
(154 183 (7541227 383108761128252359222905499) (P 103))
(154 206 (2149400947 303701203101913 40424431822843195714152257077) (P 87))
(154 245 (2003 1792099017264772873427) (P 119))
(154 247 (404361959 3900277910186145319063 150268277794547925128729537) (P 88))
(154 302 (463 200971 45428923 438741616699 5694859192470667773057197) (C 97))
(154 313 (20483 20068049 80380703862088492877683506377) (C 110))
(154 352 (463 70913096321450153 226964014576720133645117417) (C 107))
(154 355 (752840234589040896133529) (P 130))
(154 432 (2051743 1019994361 3465924773851 892329981646167380944321) (C 107))
(154 442 (1269702251338907 229207148239690595437 581188852169883345429427) (C 100))
(154 458 (26489 308296297 9589079963 3063024507414024996308412741103) (P 107))
(154 470 (463 13324184413 26733678325471988598883 1417337488772106535047877) (C 101))
(154 480 (622071095795073908878383721) (C 135))
(154 510 (143004381563911762421619709) (C 137))
(154 511 (11586191 158660335497988392305161 14657553942031795248055603) (C 108))
(154 534 (463 617 45988466020660703 250311118464610674085292063) (P 116))
(154 550 (463 236856418826117447783445559) (C 136))
(154 580 (463 3645643 1281097778738009 5514213521367502183 437758457642088129774035599410799411) (C 88))
(154 596 (43997072874371 52556857104933601372678691659) (C 125))
(154 603 (1367841618939026457997 2193868845503433559952107) (P 122))
(154 658 (21605479542700396894321 22326398843300460133014469373) (P 119))
(154 665 (8585501 710899729 22468028097352387932454528457) (C 126))
(154 696 (419189 3059520367924821213885319) (P 141))
(154 699 (2559173 233627376977105463902452309177) (C 135))
(154 721 (205500967283032968699941251) (C 146))
(154 742 (1952567 133818840039303134668877) (P 143))
(154 763 (20483 10557210124702623267401363) (C 144))
(154 804 (744828897583 996876514900205171 115357671097057711751969 474591786489915173528084258239) (C 92))
(154 851 (67607 1471383949232379499539618397) (P 144))
(154 905 (1286315324039739548118812711) (P 151))
(154 913 (165779923 1610522252879 2924453487402308422504273793) (C 130))
(154 980 (1202741 122034589601 365344328178657787907974489) (C 136))
(154 998 (11117892017 10206134189721163 125905711457504643895847 452769298814034688823281395422819) (P 99))


By Tomoya Adachi (August 11, 2003),

(142 194 (853 26981 12828431162446357609 322543104765619171394653640839) (C 105))
(142 683 (114465782944948290604730682527) (C 170))
(142 736 (159497703876549157186353061) (C 175))
(142 931 (107069 83638443751 290152693500149514324890471 14536952089881949880944959767) (C 138)

(August 11, 2003),

(142 122 (569 1279 7243 46197713 129953735777245939769575034360491) (P 97))
(142 585 (141355321 269637984264186853067 9324346420510008698051 64263268241943292576203337 215856127249397172813397021) (P 92))
(142 643 (2965614193911943771387007) (C 173))
(142 657 (168090714456501024047335753) (C 172))
(142 717 (220304323724173525094911) (P 177))
(142 745 (82407398469585347304694385801) (C 173))
(142 843 (353589476889578924737204003) (P 179))
#(142 931 (107069 83638443751 14536952089881949880944959767) (C 192))


By Tetsuya Kobayashi (August 05, 2003),

by GMP-ECM 5.0.1
(112 200 (2449441 4622314160730396929793645990172289) (P 71))
(112 356 (113 113 24220897 891172709729 7084250217783179064307249248817) (P 69))
(112 420 (329617 2940110881 2214416960520228875623421816591041) (C 78))
(112 645 (113 449 2017 5357753632897 5008712684867656411833957237377) (P 84))
(112 707 (113 7841 81761 838657 163701247227663714159833051153) (C 91))
(112 791 (12474249313 62157626044081 426411833811210111879791508481) (P 86))
(112 892 (113 337 1810595294347239484639990849 799750308440973585189265245041) (C 80))
(112 906 (693169 751297 75240050626687823047221612054529) (C 99))

(130 265 (521 45068211522187304426533294605571) (C 82))
(130 350 (131 810941 374974471 13024771651685501787411982730427881) (P 72))
(130 697 (69544425991 89508956955157813280832340272181) (C 94))
(130 737 (131 912306237194276016562601 7393874221765703260123265367391) (C 81))
(130 900 (930642602351112551169840131743261) (P 109))

(144 681 (8139060612433 93617532695434449567912237500833) (C 92))
(144 707 (865581697 15972469327873 12345097341412242556892181170209) (P 84))
(144 760 (4361941239240393420400517523409 83719485745155836678678199211729) (P 76))
(144 823 (433 227861013859919990445978883265473) (C 105))

(156 430 (313 8269 724937461 1199179801 119532480425454699905845531873) (P 73))
(156 483 (13 313 2822065187092136077 5971135680557728115494630909458354781) (P 70))
(156 756 (13 18097 3732496975269642170843837209) (C 106))
(156 880 (157 176412509337176634453776807342408653) (C 104))
(156 905 (215953921 251810480329441649251277773 4888944994622846306594149693) (P 80))

(168 525 (337 673 24325693729 9209090849311272397492653854881) (P 84))
(168 601 (1469833 168750760043696348003824996057) (C 98))
(168 725 (1009 209351521 643820565414127264095344250009361) (P 94))
(168 748 (85532497 321829369 1360191359515129 1912148466860257237477234297153) (C 77))
(168 815 (1165921 373384537 12322689078195616473361 8609187225562848135379552495609) (P 73))

by NFSX 1.8
(116 137 (2089 87043501 96681840695714056230954113010275471465369) (P 68))
(116 139 (5608642213764826888374410585104457040724715972546563721) (P 66))


By Toshifusa Kinsho (August 04, 2003),

(142 341 (986333 310624520305141531532119 4892939264162869905877139 150586367203081936245562831 62885967812483322045368002577386891) (P 63))
(162 955 (619362127 285227490241 23807719340191 629988242580290610631 1809924118261761784165903 30777060935058841864761999967) (P 54))
#(144 870 (577 15121 476929 745112256586561 85260152800731930081831022413169 20403913312538792471214963962305044913) (P 45))

August 2, 2003

By Hisanori Mishima (= me, August 2, 2003),

(59 252 (946621120866463524269 1233968194971456749443108639032529) (C 86))
(59 455 (11329 3560411568254392444475063111831) (C 120))

(118 192 (519128602159493750404621 2037465393925124112421376119) (P 82))
(118 198 (4820419 15520868360597387 6910946865267634756981326119) (P 83))
(118 237 (3659 235652144309410967 1306722526241275787560188396521) (C 87))
(118 249 (6034526862527 33558421864368459178640591) (P 101))
(118 267 (9677 6562129220422536919197227) (P 112))
(118 348 (827 272726602847 7252804012250747144593300080229) (C 103))
(118 355 (2114321422509953 5213378661373364291397067687 83176663274266943845096172591 738327835931927391581185188348259) (P 44))
(118 432 (7462346118975690078649 843566623893339404823831727) (C 105))
(118 433 (8628161 842999789 16543047407 613962342408413469551208731) (C 101))
(118 551 (1063 32569 1649287 310784743 84528711143799686554035259799) (C 108))
(118 560 (709 6373 8121265726879 2747508629916472391 14042667915314208551632095049) (P 94))
(118 564 (96997 7059452403753524186225627419237) (P 124))
(118 674 (11801 54163 2525405415236229974011) (C 134))
(118 720 (2185574119334647100678161 6954707766801854172605179003) (C 114))
(118 761 (19471 7786231 11711516889040310110506631) (C 131))
(118 779 (22303 41183 16701066715075623321303086888633) (P 128))
(118 865 (22067 44485987889071 30234947763566826131041501978871) (C 121))
(118 872 (296826641 827580821473027991 84666934745461868018779957 74060086919883030410990846696989) (C 87))
(118 990 (302317 32707001364589 291771374294462909621909) (P 132))
(118 991 (9218987 107569391 12678529117 5621312301753711489464257) (C 124))


By Tetsuya Kobayashi (July 29, 2003),

by GMP-ECM 5.0.1
(130 315 (3511 62141 25495471 9509242568756604603631606182012151) (C 71))
(130 694 (1345241 3321541632836831 10118657054429233030345058286769469671) (C 78))
(130 823 (131 1171 2212063590703069277585972985313111) (C 102))
(130 852 (131 1301 22621 79691 911750062820872078434435419033381) (C 94))

(144 287 (433 1262178433 6404263710843989446209206986509937) (P 73))
(144 299 (433 1172492233057109176005472186177) (P 87))
(144 340 (670021487551039635040411123633) (P 92))
(144 382 (14147857 53066379025441 750805147330312988215093888518769) (P 71))
(144 424 (3940356529 405736451318308706259066119809) (P 87))
(144 453 (144633457 3342173391933211153 1642724671563699355653109528897) (P 71))
(144 486 (87184194337 2705064195979009 105134777945134810667358244665854977) (P 68))
(144 566 (62962262641 155060523231942001902509008250275393) (C 87))
(144 667 (2017 4816986218683870373856307873) (C 105))
(144 720 (433 60197041590829182624281355354536497) (P 100))
(144 735 (433 1297 43201 1898353 1326925312745307697 41031513461721032353135312086924289) (P 69))
(144 749 (11364943344638207183024065777) (C 110))
(144 802 (150703570513 913151838688617901710622179377953) (P 96))
(144 986 (2398177 13176433 15084550666863149473 63503068242967672091552700049) (C 83))

(156 530 (313 564097 104578142947177927233407492089259849389) (P 85))
(156 582 (1830721169161 312073208516239065846623089) (C 94))
(156 599 (40093 5940429505010047773227398417) (P 101))
(156 671 (157 130357915985485524859428472789) (C 105))
(156 986 (13 2341 2530009 180317135233 57535257403551726397 5245560266126358468939758041453) (P 72))

(168 353 (98556891072775883863092915662413753) (P 88))
(168 394 (95257 2857684900215037696076900081113) (C 90))
(168 422 (3361 1227525454819528683307068525903721) (P 90))
(168 721 (673 186101944468790557040008561 96655871436693825206850612571489) (P 77))
(168 756 (32053088159910399872376405264961) (P 107))
(168 772 (17786322457 372825818569 80657317940727420267286712473) (C 88))
(168 800 (337 33937 236552837473 162623120080860819954244152500929) (P 89))
(168 845 (1251843029977 6580691443030153 505218260030033829168009399889) (P 83))
(168 973 (6217 277437013242399705575422887247057) (P 108))
(168 979 (735060696240230953735127617916422657) (P 108))

(116 150 (779521 30479616760771779743434368039971677) (P 82))
(116 153 (17981 3751950334886155001 10408641057432228901688231834993) (P 69))
(116 165 (42457 19653925029967153 161083282679197019425525974097) (P 75))
(116 198 (233161 67077349 13213353869 24536040104353549577406718405997) (P 74))

by mpqs4linux 0.61
(144 556 (16399856987255279809 7317382016166899397233806577953 11640023825692963378712831943121) (P 51))
(144 624 (1927729 44927713 7485123338371904832569606503681 31822360962058957819130747929297) (P 58))
(144 818 (187921 972721 78232045249 7406250889297767744219426327609361 17058234420745915101293836185814657) (P 50))
(144 870 (577 15121 476929 745112256586561 85260152800731930081831022413169 20403913312538792471214963962305044913) (P 45))

(168 545 (17872009 473693641 829360588558577193762408687721 45741992598498371821038546233416790161) (P 48))
(168 628 (9079822499772361 59062563627462112626264381791779925689 149051450736592870339743634986418948801) (P 43))
(168 732 (11334623609743654843897 2303848089516554093392929169 719471726979912345948309449488393) (P 56))
(168 932 (3697 202897022336737 582619888898418001 678114391297673670560125249 393350522608137750780503147460879390169) (P 42))

by NFSX 1.8
(116 134 (1108521811142211196710721523297111359343625094141) (P 72))

July 26, 2003

By Toshifusa Kinsho (July 25, 2003),

(144 556 (16399856987255279809 7317382016166899397233806577953 11640023825692963378712831943121) (P 51))


By Hisanori Mishima (= me, July 25, 2003),

(174 274 (13399 40692312339910002895524379549) (C 104))
(174 478 (150002617 327300524827 22882483836261141069098419 4192139456594842250776907743 4875844316712465553693233389363689) (P 44))
(174 496 (13659553270787656648358665603) (P 123))
(174 518 (349 1052868488795456407 688631051377496746532479 21073811519699795022676583137) (P 80))
(174 524 (1916344152306605856939047696671) (P 123))
(174 535 (4197527452607995999 1444927902287260837184263153) (P 108))
(174 541 (211321261 517320225512912703815067331) (P 119))
(174 560 (150573398678835589048474999) (C 128))
(174 630 (349 1567 5569 1166497 49163784471928151083 12524445664924107112825819657) (P 94))
(174 715 (523 219763 592993 29138041 274215304098151762034716597) (C 113))
(174 725 (2089 2437 7309 62217827532724336926213109) (P 124))
(174 748 (73683034254516339035942947) (C 136))
(174 824 (1116912961 394618045820599537 2468442313910569705860979) (P 113))
(174 857 (4131109 285387974503 22946390234624593858567) (P 124))
(174 868 (309799145059598768870754481 675995028565362298178813923) (C 112))
(174 896 (349 1507890959475642017484425677) (P 136))
(174 899 (349 5158330630391172007464794713) (C 136))
(174 922 (79693 23256319 115408633 4662057592330843 12963474125483923 265679052354310950627308209) (C 88))
(174 964 (4125503983 1211161820766553 397923999439442286874873 179720674877955483315668593133194507) (P 84))
(174 968 (523 4022031577 22962873805635014195929 90563642274733667026475491) (P 107))

July 25, 2003

By Sean A. Irvine (July 23, 2003),

by ECM
(67 275 (171903845307868559076655997917481) (P 129))
(71 585 (569 853 680244516876620813977 4047039797587427509851641976529) (C 137))

by Leherbauer/CWI SNFS
(94 722 (283 659 36889936089105205677226965106010274591411089311443946219) (P 71))
(94 730 (5171 2974819 22651593386680643000333824588891266776163208565390699297) (P 67))
(94 739 (15840666587493673 469645212666795850202486766405858565134216263) (P 72))
(94 747 (112237 369124537766527206364658439908301551076038793873896071) (P 74))
(94 759 (10212466723 7568189300033 9461862916964931804621960648941535341193507967) (P 64))
(94 762 (1129 944701 1140654670852935299813 1638437612536549588545135729891222201811032461358193) (P 52))
(94 767 (36473 343242788874090490627554399912196300780308031129159687) (P 75))
(94 772 (29611 155978843307316955237605356788530292518668683) (P 85))
(94 780 (941 2539 4184599 1330203915517968174804408669216299403318107) (P 78))
(94 785 (283 860656627543872793 920180440347457358551279237621639096153885912850279) (P 62))
(94 791 (1129 104623 1843454399 3797355065942247925635898526015456577554336876097655307507) (P 59))
(94 797 (156511 3242531 260680803489004512263167359533550217300791701878809229) (P 69))
(94 808 (81394507 489825749233883075098877271755312533637) (P 88))
(94 815 (1223 29159198749264563953 6263846729770571537656383283962288452557499677673555401) (P 57))
(94 826 (94014914256005891 15120138112027402040204323501759170081514700717) (P 72))
(94 827 (2539 1448496755215346242702608613575051738334598649472597629508147) (P 71))
(94 833 (283 51419 87797 19468157846471399971 2762850007364046322699870943080854094333126181302211) (P 52))
(94 834 (283 4513 77391329 12926438443203772683387541272798034238256040439176373788823) (P 63))
(94 844 (77484013 263132492151396664096548880336822274389) (P 89))
(94 854 (170141 7213513098607 1474620501870446285905920175070320573369039319) (P 72))
(94 860 (615607 1063714877727445940773007250234040403294551) (P 88))
(94 866 (457995555968508204247 41386859015795901547007376468652932343763) (P 74))
(94 869 (1447783809007626313 1197622309985542543421490956073482183692749259453) (P 69))
(94 874 (49870949 1230699237771138809329551218251375230781566131) (P 83))

Remaining all phi(94) series are reserved for him.


By David A. Miller (July 22, 2003),

(192 238 (193 542332718209 836387753551377885582114844033) (P 109))
(192 278 (1153 1613462962090561 11080743861665564970215544141121) (C 108))
(192 311 (2689 432311528147399654957034359809) (P 127))
(192 487 (769 2689 8007553 14626915201 20415176833 920713397290371324109510764608449) (C 106))
(192 522 (193 6161473 7207790593 31865756738079679436737 8359436243619379181380113702721) (C 102))
(192 586 (119233 425473 48014209 47623531950153244945943867713) (C 131))
(192 591 (577 769 26357650294283567752970429377) (C 144))
(192 899 (193 14555137 1800040241091679087489537 1286738958507109906245371137) (C 129))
(192 911 (77855846634075073 43498017838070521049034580609) (C 144))


By Tetsuya Kobayashi (July 22, 2003),

by GMP-ECM 5.0.1
(144 309 (2887575631788499199309508598513) (P 90))
(144 336 (433 6481 816769 317716444367308168931382234481) (P 80))
(144 392 (718324129 34731192870639338791266433) (P 91))
(144 505 (2161 2452402704452939583559719697) (P 100))
(144 624 (1927729 44927713 31822360962058957819130747929297) (C 89))
(144 668 (226432869569281 717137015109718376399104513) (C 95))
(144 747 (433 1420834438586748365183605228993) (P 106))
(144 760 (4361941239240393420400517523409) (C 108))
(144 777 (433 1297 24908293153 167142855867823686754207437327361) (P 91))
(144 825 (577 97078321 354697457125557421552738735153) (P 100))
(144 870 (577 15121 476929 745112256586561 85260152800731930081831022413169) (C 82))
(144 933 (433 14399155989877607042345372331645553) (P 106))
(144 956 (433 6481 154159571898308074321 506422525867236170374730694390577) (P 84))

(168 704 (1772372970697754713 1610241554336662620139186707752137) (P 86))
(168 724 (337 21347470421007709979232961) (P 110))
(168 981 (23632531727228089 3351188092283981713 10266298954566035270179800372073) (P 78))

(180 221 (2341 3816126656664511804746017472361) (P 79))
(180 234 (181 4663441 94883210113923088910294024619901) (P 73))
(180 299 (181 541 815436404679923416030934521) (C 87))
(180 363 (7561 60420513759015602456649361) (C 94))
(180 374 (22271341373461 27754220738477171325311461) (P 85))
(180 421 (50581 8662182505431984476456166797230981) (P 88))
(180 434 (88741 1679380876769263226625868442349661) (P 89))
(180 489 (181 853249336661757546592046732341) (P 97))
(180 540 (98641 1262881 236560874197948921 67377677380813812393226801) (P 77))
(180 564 (181 992577605750241988861 2015656672028985392768263081) (P 82))
(180 586 (23581 14504359141 460587840523081270373262061 1119930413791674447238090544281) (P 62))
(180 602 (1801 26990434752121 87280468400452263363906362641) (P 88))
(180 618 (1508324221 358623079021 637367924522732579081628095300401) (P 81))
(180 675 (704775961 489899843026770967807471201) (C 101))
(180 685 (4861 6931672573934868739378741) (P 108))
(180 741 (42841 425373632307286206040261441) (P 107))
(180 765 (181 1621 14805425023218901 530825768888967469850776105501) (C 88))
(180 771 (181 1345494451681 10422977588821230955638970681) (C 97))
(180 795 (2544820921 275542056362840581 1151407196117361155368345501) (C 86))
(180 829 (181 541 19986122940276016304465668021) (C 107))
(180 834 (679325195472983270563510261 30379304185921884380175523081) (C 85))
(180 849 (17226616668998189056889591881) (P 113))
(180 857 (1150921 4295117702306263445132651125021) (P 105))
(180 858 (181 2161 5581 581041 965832481 365419552662727289770305421) (P 91))
(180 867 (9001 818281 19635142459321 294747377016701331996725521) (P 92))
(180 869 (15895091142761026127803446781) (C 113))
(180 901 (64899311301001 26928848050033179153749479021) (C 100))
(180 910 (100982487256786200790035333541) (P 114))
(180 913 (23761 2127511936562949017940056581 26979800680761434100577039596841 106600952294430011086001761307300761) (P 44))
(180 922 (541 17817501875221 873394522825894395057286471099621) (P 94))
(180 939 (23934241 279248976299367121356921063763981) (C 103))
(180 940 (79099561 1414561411527264869307511861) (C 108))

(210 973 (23248080451 173761173181 401861876781092193263981295652030681) (P 87))

(116 140 (165058233929377 7254852006254588476518766700161) (P 76))
(116 178 (233 981941 326984590569701 99211859253060996494134507961) (P 75))
(116 183 (233 1277 1235981 309207819113595588157371161) (C 89))
(116 186 (29 349 1277 4577903229211530032868481) (C 96))

by PPSIQS 1.1
(144 788 (36433 3997297 145256833 4849721991544033 9233425384734828213946147123873 79851016437733233957572397671473) (P 42))
(144 880 (500257 1090720855564162020795247489 27487915781002663970975711161249 279026694506317820477962520869510033) (P 42))

(180 537 (991621 6245509648351685221 262160803057947117470660789461 1750889261917589086249901532777566701) (P 41))
(180 627 (181 8821 8141731290557128983190141 403082123117491597351909227841 5021344930725713108776848180063253921) (P 37))

(116 126 (38450123565239941 5554600200011004228235974122593 11385543500885268810340066061106281) (P 37))

by NFSX 1.8
(116 107 (100069068438024063655944630174726767658157) (P 73))
(116 118 (4208249 92088244491493294927482564983582461419111476993) (P 63))
(116 123 (233 170034401437815291862934247949 58550767029695476920745458137468800057009) (P 45))


By Toshifusa Kinsho (July 22, 2003),

(168 628 (9079822499772361 59062563627462112626264381791779925689 149051450736592870339743634986418948801) (P 43))
(168 932 (3697 202897022336737 582619888898418001 678114391297673670560125249 393350522608137750780503147460879390169) (P 42))

(142 675 (24709 202777 6583203299334829 1563562212914565037645687 26805288842382790245040141 604908218428754711105978737 103966662537248004074248580491 1233693832036333293359139024238069) (P 35))

July 21, 2003

By Hisanori Mishima (= me, July 20, 2003),

(116 106 (64033 685803535098314990362489267841) (P 79))
(116 120 (233 7031573 146257897157 23850804262168432499569 18087896146493411275871699510461) (P 43))
(116 192 (151729 460494481 210911523989 3245946470209174077250668437 5013730379837819174969109721) (P 48))
(116 213 (1331333 1540307615186875714083169) (P 101))
(116 248 (233 349 3839833 648757531275586951377238813193) (P 93))
(116 333 (233 42689 4835461 8013269378113 4528611513233424631733298781) (P 88))
(116 354 (233 888303061 38437827629 6834773818172161 332571372303293300758729 1398577029106948666033417) (P 58))
(116 410 (233 349 1277 30509 967817233 182691795089 14018588191032135645151144133 2898389508775280640046714811047516184363369) (P 43))
(116 415 (2556061 1400596993 10373459617 108662239426113155177207102273) (C 93))
(116 417 (37658473 25300225646941778256121) (C 117))
(116 434 (40253 1387783633 274843409356777384329948397) (C 108))
(116 475 (233 1741 8237 2308939719214193189 57817738297155971840453572093) (P 94))
(116 481 (29 233 17981 1338729437 78045936624974760996197557) (P 108))
(116 492 (233 373866841 22367424978938851999955489) (P 115))
(116 525 (45487598521 33432284872348584890787761) (P 117))
(116 568 (29 165533 411100177636291155854657) (P 124))
(116 582 (60540764638786889 11406984390174982525157 1024167806678348499198949) (P 92))
(116 599 (233 4800250178509090266829117384049) (C 123))
(116 623 (29586149 4908751469 1130917251507596955361741) (P 116))
(116 638 (200797 2264909497849 3557454311952897680025113) (C 115))
(116 683 (15313 30509 889943533 1735028569093 1197321719466417812058761569) (C 102))
(116 688 (349 35149 1748933 404775466102877363370529 1092138809990018384091469) (C 98))
(116 721 (1277 18698193469 16751415571896624323777 35073355407035056557829) (P 102))
(116 723 (2307163100155943993 10940401533339111281452152821) (P 114))
(116 728 (25724803313381 12747052148058288677875717) (C 122))
(116 730 (233 7034473 705288052489 3121214113174024082513053421) (C 112))
(116 792 (18793 821211403169 1977463974257869221615749) (C 122))
(116 817 (1277 150221 903474140417 3755597968033 59190883526982020560408568629) (C 102))
(116 875 (1741 13457 1388151054943470580361549) (P 134))
(116 878 (765954007177 27332008061821888289857) (C 131))
(116 887 (29 75169 364241 56343869 20469920410592837237 30780723887592161417160471601) (P 98))
(116 889 (6461529905987777092255618013) (C 138))
(116 901 (233 349 128118201197491669234362053) (P 135))
(116 906 (233 929 2437 362169053 80826861730337010976813 38489902220325887400255889 75230498665456268097141994073 94659798888549741302473060301) (P 42))
(116 939 (233 9397 886955837 590136029188548076171842637373) (P 122))
(116 967 (1741 21670309 492643517349703172115517) (C 133))
(116 985 (7309 184441 40483131277 9183162323339196821737 259703908207969047019997417) (P 100))
(116 987 (233 929 10305000764957 43634300453462433088672895137) (C 121))
(116 997 (1741 312261963828906022993 1110680432291280178522897) (C 121))

July 19, 2003

By Hisanori Mishima (= me, July 18, 2003),

(87 173 (35671 28534013690388667395218493943) (C 93))
(87 325 (13399 12872111842216413909602533) (C 112))
(87 393 (61533361 6910515154999151084319936127) (C 110))
(87 423 (4932901 13112129249971 387249662435456866166733613) (P 101))
(87 513 (5128999 82379779 2438915552286523168098654529) (C 110))
(87 594 (349 6091 3609775948622456694262579 2052468146970469216380448161181) (P 95))
(87 670 (17923 16565323 751721413 20010343398919 314124356648603889863824192555039) (C 93))
(87 701 (3373687 1795261009 39960985990548638401 656231970853972203517636471966098163) (C 89))
(87 734 (2391979 463998872105400264584742631 37857854166788973894540265860573469) (C 93))
(87 767 (14588975567233 525386055696367 2634927702216175139018659003) (P 107))
(87 908 (21306301 419186784997 103104084974711526830193697) (C 121))
(87 941 (59509 26129581 3328543392151 408705689480588212643238367) (P 116))
(87 972 (2437 183397 386588398629457004833 406603423736484374629 15135239207166882384124052617) (C 90))


By Tetsuya Kobayashi (July 14, 2003),

by GMP-ECM 5.0.1
(130 166 (521 48923148742289926850734070886311) (P 73))
(130 310 (25864494241 365614023682824308535299137834001563441) (P 71))
(130 365 (131 85021 4220350016872889092512049524595621) (P 83))
(130 530 (131 2731 11311 4891102152821 140695533158680099687342623161) (P 80))
(130 533 (1015490515982819484197878861 21471486829296501010252929785804801) (P 70))
(130 681 (131 37571 13434784732993007105991370460971) (P 99))
(130 693 (8191 1462931081 550563229897473441710994314981) (P 94))
(130 749 (66431 5743939564229140419585687781) (C 106))
(130 750 (131 693646036201 1033744874604128434186293385831) (C 95))
(130 834 (1724606150040755281 280823254564489471771 947601832633839534194054418551) (P 72))
(130 865 (267285790462426436491271912799646721) (C 106))
(130 922 (16619310958348801 1260175067402558822065015090081) (C 96))
(130 975 (2731 166216076951232583809488005351) (P 111))
(130 977 (16874218915321 558571382060459784794565061) (P 104))
(130 993 (131 7411 474461092691 95470607162191 525693910968239312400675253627351) (P 80))

(144 205 (577 73009 1357398381983621428323794048796001) (P 71))
(144 294 (1153 4661025278745889 5089686788410107308452459009) (P 73))
(144 362 (142230928058600373575524790209) (P 94))
(144 418 (40935313 125561161362673 72926009996165138461975174499950801) (P 70))
(144 451 (1153 947377 744238454977 34870405416176058434157601) (P 81))
(144 549 (2017 9649 399609997517703715456347217) (C 98))
(144 556 (16399856987255279809 11640023825692963378712831943121) (C 82))
(144 602 (25633 3580165125724676984525824273) (C 102))
(144 608 (2161 40609 27400830584390114586088094929) (P 98))
(144 639 (433 9783654569235325928077320377986129) (C 99))
(144 653 (577 159697 1075537 5567090778327965516971042609) (P 94))
(144 671 (11664030425600206642234177) (P 111))
(144 803 (26497 20205590275729 341094083751459990526371697) (P 96))
(144 818 (187921 972721 78232045249 7406250889297767744219426327609361) (C 84))
(144 858 (39016097006124255686992283761) (C 113))
(144 984 (434138914962736116262754689) (C 118))

(156 236 (13 1735289089 157474504323329370968064852397) (P 75))
(156 537 (157 103066081 196700328716622935945681690881) (P 92))
(156 730 (13 157 8893 5423548000417 1358239890139741167840824337601) (P 88))
(156 803 (157 2341 3433 924769 986434312297669 28030463317024238177227588417) (P 81))
(156 862 (157 1323092825884515963667662637) (P 112))
(156 931 (734641909 6795960140005540508307889 59373358815282982500493744321) (P 81))
(156 978 (8341578281649445487930181221784613) (C 110))
(156 982 (13 8269 125808073 4852942537 36558552715350409257748135357 790562467056502275868264292749) (P 63))

(168 297 (579345005358673 44920258422365428830576215137) (P 76))
(168 366 (1138369 34775038201 5057153901267454233185951684281) (P 76))
(168 417 (1009 42337 8665775746044554593 184072521220639626249619211401) (P 70))
(168 431 (337 673 8428897 2085939028734394025043098293232262889) (P 78))
(168 450 (337 3361 3743041 21360529 22130145753778091279888777060209) (P 77))
(168 459 (8233 104161 59301983841150734627282357761) (P 91))
(168 472 (43854982425469646773822558160041) (P 97))
(168 479 (59510172528868247822510133859489) (P 97))
(168 545 (17872009 473693641 829360588558577193762408687721) (C 86))
(168 550 (434113 470909377 666880539361 28995130677384804229902449048233) (P 74))
(168 552 (2017 182528522655683890537217432977) (P 100))
(168 628 (9079822499772361 149051450736592870339743634986418948801) (C 81))
(168 723 (25537 82526559186892479192819042968699329) (P 98))
(168 732 (11334623609743654843897 2303848089516554093392929169) (C 89))
(168 738 (1009 174049 19894561 26035885462499956887919027129623097) (P 88))
(168 810 (488968508261098654046161 5996351688879048312402655993) (P 89))
(168 836 (1009 363217 4486156624827794637268562904121) (P 102))
(168 839 (40888670272231733108474191434673) (P 109))
(168 847 (673 55732750056481 63871994688692366554513157632632961) (P 90))
(168 882 (2538817 68771742177050024355087863165617) (C 104))
(168 897 (673 682670528800265852658666267841) (P 110))
(168 932 (3697 202897022336737 582619888898418001 678114391297673670560125249) (C 81))
(168 938 (6217 56282521 174876629694247427743754886433) (P 102))
(168 980 (137089 12952297 417919074553 374569626268203175373594901193) (C 91))

(180 437 (11701 3326581 54487129840973806803981542821) (P 88))
(180 468 (10166272954180178486803381) (P 104))
(180 503 (541 7308784767697868703136297015441) (C 97))
(180 514 (6841 54181 744165709979279041 21595358138322275973155623321) (P 76))
(180 526 (8641 5480929900281346555501 79596167939918266163292361) (C 80))
(180 556 (929287081 12487028155978018502346949746541) (P 92))
(180 644 (12421 3877988041 20533346364805695203013752221) (C 93))
(180 781 (181 12241 1393596361 102881929365286021 63285849522124468728781681261) (P 78))
(180 933 (181 541 173332136025706680021661847382961) (C 106))

by mpqs4linux 0.61 (pmpqs)
(130 294 (452271821 13726799143371422721966691383371 5766543977558721936864306027974001971) (P 42))
(130 384 (131 1301 100170135660011 4186892010759377519000498897671 9757706477967378278849880818141) (P 44))
(130 542 (521 11701 14431 54805271 70469866871 50830493802397863822158483711 243833018543248666052985028467761) (P 41))
(130 603 (2081 79437671 74760215206422247841 152600372482309663553788511 8170595376525931274005834222973401) (P 43))
(130 609 (131 521 5918668991 43645437161 2253243785783611478170780342721 285806695865776232333414802590854631) (P 43))
(130 884 (131 886471 13253303544781 921991700853211 65168347052963540190391091578061 89296794232404999484702454468551) (P 42))

(140 292 (421 263844716801 36289476319945493189645801 26018054077865093076257859823857214601) (P 42))
(140 892 (15401 44543538901 51825087934101721 1088841772468586560350435461 2152311351853653855648569810304648341) (P 47))

(144 267 (1297 55441 1596700131887055896809340190769 307391328869638868378669852655133249) (P 43))
(144 590 (433 3607633 188680062007109272609 5171784712678989962614081 66766939350842899925039926081) (P 50))
(144 741 (433 766434082177 466959576061729 794431394206852065823825622497 757973031347273168400344323114356001) (P 43))

(156 638 (1028477299669 16373002277123077 132104546774051399372289520965313 948515862148024939499005585948035997) (P 39))

by mpqs4linux 0.61 (ppmpqs)
(112 291 (2181819100712758806218796591120145489 27947266318357080931463933123281844139377) (P 42))
(112 474 (44070209 8507380460065323481934705506935032273 17776896843422788670978564276655387937) (P 47))
(112 786 (113 449 1426664556674113 16139693806072527765952238865281 2146148223065722012690612845368689) (P 55))
(112 819 (673 13553 17691409 113915201 293079361 910487677061386544234100852209 78191566373970436026518684470573443809) (P 42))
(112 832 (3137 3232695428635574609 17605187523304558034439022887937 723424701539092557226549190145811240818737) (P 46))

(130 701 (6243092413091 81402484610939770604626213671627871 34207063675116170799220283831725702861402561) (P 46))

(140 745 (20161 1657181 257962136373061 1455090226151683964964666431321 5501831954574355390445064074501) (P 53))
(140 939 (92401 3485990093897451068307328321 7904894137881482593475934941 9088541866094245876469567606652794981) (P 46))

(156 470 (13 313 2999047639537 17115672986754297521005099409881 95678374224473910289336052190821291461) (P 43))
(156 494 (31513 42815067829 404240733200253236840773741 114181692138942918463041913734474313) (P 53))
(156 505 (13 157 1249 4915249 82273448004305830331420551370077 184496483058219596967806480431877837280241) (P 44))
(156 654 (157 65521 66301 547987597 9082883971356462642385808462341 47646308182468635392868047896393) (P 52))
(156 825 (13 38377 16374073 29415517 106954693 1279929543972372649583917 871781155087501958185216221854686251061) (P 49))


By Sinkiti Sibata (July 14, 2003),

by SNFS Ver 2.01
(162 240 (2269 20899 203311 238865196849761359 136213003732592189738162071) (P 73))
by PPSIQS Ver 1.1
(198 268 (199 397 26731 4005343 440856109 20962829647 2489072068742491 38794281862118726657437612824579966001647397) (P 52))


By Toshifusa Kinsho (July 04, 2003),

(142 230 (112432193 39250866113633 9505590521278032123727 1095048464106797763280087 1296653978704162458306673 9018927185584491282961521588413) (P 43))

July 05, 2003

Announcement.
From July 06 to 11, I will visit to Seoul, Korea.
Last update is today, and next update will be July 12 or 13.


By Tetsuya Kobayashi (July 04, 2003),

by GMP-ECM 5.0.1
(112 170 (56113 100835554678906126964629965988993) (P 71))
(112 357 (112117937 5397209329 490682142229763575403261819978521393) (P 70))
(112 396 (6355831198133193918737 4653125241833384945702862162529) (P 73))
(112 540 (11457768594728520477613971569) (P 104))
(112 564 (449 33028418446592903406040651873 990152734248861709174540021848481) (P 68))
(112 575 (113 449 374987854596697289389455958673) (C 99))
(112 832 (3137 3232695428635574609 17605187523304558034439022887937) (C 87))
(112 886 (337 443274197278753 50068419395949675882809287361) (C 96))
(112 897 (677897921 55556431183923940137640899244049) (C 102))

(130 182 (1104221 58020952319190237193013861) (P 77))
(130 273 (12335831 488711989364740925689136475791) (P 81))
(130 294 (452271821 13726799143371422721966691383371) (C 79))
(130 363 (8581 336571 9700764267932141507343516121) (P 86))
(130 384 (131 1301 100170135660011 4186892010759377519000498897671) (C 75))
(130 408 (1001911 638623961 1092860237003021268734551) (P 87))
(130 414 (115960395426935517319974684278591) (P 94))
(130 603 (2081 79437671 74760215206422247841 152600372482309663553788511) (C 77))
(130 609 (131 521 5918668991 43645437161 2253243785783611478170780342721) (C 79))
(130 646 (131 76961 3744781 7164006877555485234674790901) (P 94))
(130 695 (131 2341 51682801 20194012931 2035937964084994517230267418783951) (P 80))
(130 701 (6243092413091 81402484610939770604626213671627871) (C 89))
(130 714 (1171 4361501 222493671678652748132247647022281) (P 95))
(130 730 (18397173581818529304774742321) (P 110))
(130 765 (131 33255821 166098921319283087981 6503063040320982361525545611) (P 81))
(130 767 (144257783196775561 57723122805247641366897269401) (P 93))
(130 788 (131 12104245849017947627398613101) (P 109))
(130 873 (131 97241 119292769051 284503944839608514021 11281202355750571882226051971) (P 75))
(130 884 (131 886471 13253303544781 921991700853211 65168347052963540190391091578061) (C 74))
(130 954 (131 41081 395100982249652814027751 6710927715367260554866652052241) (P 82))
(130 955 (39600991 44883541 50152831 95390523633960491 4136545166921593857272640744598771) (P 70))

(140 122 (2076762475405385478827013241) (P 73))
(140 178 (28001 40196359625460467945302866241) (P 75))
(140 217 (21001 12524147262740388324977345262895261) (P 74))
(140 472 (406561 22081627261 43773283468878559572901810749221 7524647655656596009778334808654994201) (P 44))
(140 520 (3221 48850627973121626194011311503312961) (P 93))
(140 556 (167741281 675567312297864209716508243201) (P 94))
(140 692 (484379993038869383716736298690327280107701) (P 95))
(140 695 (39861571680925121 631063468689687411728962374421) (C 91))
(140 714 (23149143644503066432088981 4576649657449716956995744067441) (P 81))
(140 745 (20161 1657181 257962136373061 5501831954574355390445064074501) (C 83))
(140 758 (541360357301 229926380256019255735423296941) (C 98))
(140 834 (281 421 2381 401101 661097341596164007634773980461) (P 97))
(140 892 (15401 44543538901 51825087934101721 2152311351853653855648569810304648341) (C 74))
(140 900 (281 231841 4525570943365305683398045926241) (C 104))
(140 909 (281 1575019969605042497802895767154081) (C 107))
(140 913 (21383003943213221 1923757795062068981 68367470251282516859533767101) (P 79))
(140 934 (2521 1904986892185895855269928381 21226531566409700345095016746501) (P 81))
(140 939 (92401 3485990093897451068307328321 7904894137881482593475934941) (C 83))
(140 950 (4621 248292028676207016073707836184408521) (P 104))
(140 998 (61237681 26823148059224866301 245866128983618552588974398101) (P 88))


Errata pointed by Robert Backstrom (July 03, 2003),

For:
(104 567 (521 4889 3795133169668750611670110629120815958285972480161) (P 76))

Read:
(104 567 (521 4889 3795133169668750611670110629120815958285972480161) (P 78))

July 03, 2003

By Steven Whitaker (July 02, 2003),

(104 554 (3049708199267532784489 23710480734379646005896254371273242724389161) (P 67))
(104 559 (1070731273 86416934425978263714888617899116673913) (P 85))
(104 560 (521 315023797287708680961630807890730561072999409) (P 85))
(104 561 (219161173975393059593 4487039919143653621190512438635632094953) (P 72))
(104 564 (937 3329 6090624821943807683846782334787732726233 10364258717771538486827404084635404368441) (P 46))
(104 567 (521 4889 3795133169668750611670110629120815958285972480161) (P 76))
(104 569 (34652711206116435396939772844782698024162232571043697) (P 80))
(104 602 (17083873 276481776567903729161 69898976105445633021803790803529619534817) (P 65))

These are reserved for him.

(104 571 (27457 328121) (C 123))
(104 580 (961981097377) (C 121))
(104 583 (3707685382205796889) (C 115))
(104 588 (115310840096481110279329) (C 110))
(104 590 (5452409) (C 127))
(104 593 (3329) (C 130))
(104 594 (1024855394557119911286005548057873) (C 101))
(104 598 (943073 6624636314037588598441) (C 106))
(104 599 (2393 156833 322193 171234857) (C 112))


By Hisanori Mishima (= me, July 02, 2003),

(162 198 (1459 585473186783247481 12840758618502937796904753812197) (P 72))
(162 253 (5023 9417016508121834476526523) (P 102))
(162 295 (1341157177 335101912242134441371027651) (P 98))
(162 417 (202339 204165262821684481745257 8993740142473909409626730749) (P 85))
(162 437 (3 811 985650705889155355442221) (C 116))
(162 471 (1783 595513 85814778111564377706319) (P 113))
(162 476 (3 1210064833 478782816147258077683 1156192354203575554340947) (C 91))
(162 570 (100668554738703829 83208495067165451931679) (P 109))
(162 592 (163 50221 1133677 32657325030295633 505950775440241533607 80260635195371076453899083) (P 74))
(162 612 (1598131 201593471072689 1256313184094833754655171709) (C 103))
(162 614 (3 811 12637 15391 375415507789187347 1395998762660092798030723591) (C 95))
(162 689 (3 17659 8351911 3889873851217365631556719) (C 118))
(162 819 (1621 341659 3196099 269658568932546893150546947) (C 116))
(162 863 (3 4861 136280862677057743837 55704301974521467294945137193) (P 106))
(162 905 (3 12356713 588737356446315614049649) (P 129))
(162 908 (3 487 466507194319 4530091414568401694492630794459) (C 115))
(162 921 (163 185251633201 57725003590663044288064861) (C 121))
(162 922 (163 4335607 40740441373 20408777246920801306357) (C 119))
(162 955 (619362127 285227490241 23807719340191 629988242580290610631 1809924118261761784165903) (C 83))
(162 967 (12465026173 624355946911 1201182967854367470684703) (P 116))
(162 979 (8130797615719 291045438128989 65312788133775594261853 3826180905914776382495461) (P 87))

June 30, 2003

By Sean A. Irvine (June 30, 2003),

by Leherbauer/CWI SNFS
(94 875 (1223 8837 4652348626734213756014881137752500532440629061413269963) (P 74))
(94 876 (283 2487432980497 82487319867030233431 24255710279385351314067066061004210149099719473) (P 55))
(94 887 (4231 13225301260824796051 5762643571424839468165441999623438380941222204597) (P 65))
(94 893 (20681 5730625871 668069966953 12284652323285569631618901852632771128687046556415811) (P 58))
(94 904 (2648474298343 4581907780111012380720443019463979723513391806312186137201) (P 66))
(94 916 (283 90053 72555029 1218871325527 159079530807059686563685440776670289936638436411) (P 62))
(94 924 (1693 450342251 72217051522343566087774100139105427521110108959356591295153367) (P 63))
(94 927 (2069 44590713919 49958739301 7318056717445662815351688404663646328627) (P 72))

June 28, 2003

By Tetsuya Kobayashi (June 28, 2003),

by GMP-ECM 5.0.1
(112 158 (113 88530361435987150345783528490689) (P 72))
(112 291 (2181819100712758806218796591120145489) (C 82))
(112 382 (113 982801 2025842327489 1776404238749839343904729233 156821954772852240200692517969473) (P 45))
(112 395 (337 24977 191435171437967399604500208424657) (P 86))
(112 470 (610849 555455289284569886173309249441) (P 93))
(112 474 (44070209 8507380460065323481934705506935032273) (C 84))
(112 502 (15298529 127065172820149906303414050899617) (P 91))
(112 510 (113 342869617142397609031104772289) (C 99))
(112 527 (113 673 144686143057 7286342456940143523806773601 104385963468342684040338972673) (P 58))
(112 732 (113 337 8689563457 23474274653986553039076577921) (C 95))
(112 763 (7841 1947457 896998557813662542422628251697) (P 99))
(112 786 (113 449 1426664556674113 16139693806072527765952238865281) (C 88))
(112 806 (2730450577 454430472122220049 134708551109642896478654561777) (P 84))
(112 812 (113 13553 17821119455992080584912438371737137) (P 100))
(112 819 (673 13553 17691409 113915201 293079361 910487677061386544234100852209) (C 80))
(112 836 (113 32990490735131328417294817467965977009) (P 101))
(112 926 (120242429052139820628514316078369) (C 111))

(140 292 (421 263844716801 36289476319945493189645801) (C 79))
(140 386 (2381 81192805481664600638216069461) (C 92))
(140 393 (281 32341 12322338660485202211077014671061) (P 87))
(140 404 (5799543793261 195341300183765802862370425901) (P 84))
(140 407 (141369975082027413313958631643671301) (P 91))
(140 461 (40764731719684656507443207561) (P 100))
(140 466 (3681118021575886596996377381) (P 101))
(140 584 (791069429351190499690106330461) (P 103))
(140 705 (281 10501 361294708355557272768833761) (C 104))
(140 720 (8308933437841 7668244445180898041 57383281669286878294587361) (P 80))
(140 744 (170801 98797301 292937401 325206701 4732208249171974222602171341) (P 80))
(140 772 (7473341 1895974653862249928124265556141) (C 102))
(140 778 (701 2801 4201 264118961 253175254735470345021303082321) (P 92))
(140 782 (19181 2419070037129051601 681354526592623109968344401) (P 90))
(140 817 (580807781 5043963083321 22082724718030640655928301) (P 93))
(140 824 (209861 166423007789839629295405261) (C 109))
(140 869 (6475257591167540890064405078684641) (P 108))
(140 878 (20748701 11343340681 2645201877635035407034069036601) (P 94))
(140 890 (139721 48721234837490237261 59304529988411566916912681) (C 91))
(140 895 (2288861 25315949617264530455457818341) (P 107))
(140 927 (222461 731033502673274942135261) (P 114))
(140 934 (2521 1904986892185895855269928381) (C 112))
(140 967 (6149385387271290430342613741) (P 116))
(140 992 (281 6301 6581 169738436141 71647766347894492397893301) (C 97))
(140 994 (4621 2503201 333081841 47067167764190755509161 3953875771374183684586933932197041) (P 70))

(156 265 (1190524082593 18170406178072643796537954073013737) (P 70))
(156 378 (1873 4057 31142621452388161 20678734121086295108266732321) (P 73))
(156 412 (147237360803957650271340000733) (C 97))
(156 470 (13 313 2999047639537 17115672986754297521005099409881) (C 81))
(156 482 (1028629213 6445712677 10109821489 450377039481250916061115721257) (P 71))
(156 494 (31513 42815067829 404240733200253236840773741) (C 88))
(156 505 (13 157 1249 4915249 82273448004305830331420551370077) (C 85))
(156 511 (6213793 5430119930117332857839822209) (C 96))
(156 534 (157 570181 234403720284869354053280629) (P 97))
(156 590 (157 1873 61933 99699172480129 11299678224433790479825582189) (P 81))
(156 604 (13 157 157 313 4662071472852613 700604665016385155439121333) (P 83))
(156 610 (157 51481 2572529637242946421 74210263193196056362090513) (P 83))
(156 630 (13 14557453210066729 5569341224660916754662782105570689) (P 84))
(156 654 (157 65521 66301 547987597 9082883971356462642385808462341) (C 84))
(156 668 (324870134433725307305481789889) (C 107))
(156 670 (13 204130126746121369 4182869826628222024572165142957) (P 87))
(156 677 (109201 1907364475186402675676920597) (P 104))
(156 704 (13 2755173694248473167106780461) (P 109))
(156 710 (58193389931821 199426026779615252579908453) (C 97))
(156 747 (13 157 1093 12045519253 133579505390836129 66201577423381875562909843064317) (P 73))
(156 771 (2320417860853 421276280504381245789 44374264613244174436872584437) (P 77))
(156 780 (157 10554175053819498978887401) (C 112))
(156 785 (195394057 5459318345476171043557 12697470023470852946886155389) (P 81))
(156 788 (1633633 1249945730628196393512709) (C 109))
(156 790 (157 937 23423505953323667433061 537448380270397276961202469) (P 85))
(156 806 (157 3754442846641619996735130949) (P 110))
(156 810 (9049 95629 36332398441 119491510877481351542195809) (P 95))
(156 825 (13 38377 16374073 29415517 106954693 1279929543972372649583917) (C 88))
(156 833 (139866951750709 17853602724145813 670116815238894091227587689) (P 83))
(156 885 (21997 701708320963616283215719549) (C 111))
(156 905 (215953921 4888944994622846306594149693) (C 106))
(156 921 (13 157 313 8737 506533 587349196777689373 46593677462382991948452901) (P 84))
(156 931 (734641909 6795960140005540508307889) (C 109))
(156 957 (157 313 1249 301495273 13370106516416395344351917113) (C 99))
(156 980 (157 391249 10843623396986452361863008024409) (P 105))
(156 982 (13 8269 125808073 4852942537 36558552715350409257748135357) (C 93))


By Hisanori Mishima (= me, June 27, 2003),

(81 445 (3 163 10866629259667 26107499057991040400286418849) (C 99))
(81 474 (1459 60913 2139008010990214123 1262657576806656756544581751) (C 92))
(81 544 (3 163 811 352302855395324797 3352325951415996332646373171) (C 98))
(81 552 (12231845184156947160193 1107183772394235804955830448537) (C 96))
(81 816 (9901350577 9685776151837818451 103761267410092998347774893 2184860750538217565559910573) (P 75))
(81 917 (1621 8734521953161 55020925757594638711845660007) (C 116))
(81 954 (268759 679789431883 846992738096242834848008311) (P 117))


By David A. Miller (June 26, 2003),

#(192 236 (781519589689738077044941252993 1089496192465719665990434728481921) (P 89))
(192 387 (2988289 26734854637264593027822844801) (P 131))
(192 617 (193 29569 67777 3093121 5898817 6305857 246707958976482367487819536618177) (C 115))
(192 795 (402049 11099713 1033908097 467546356527930560029168726657) (C 135))
(192 966 (23617592277931424172955777 62521985728765571952294462718273) (C 134))
(192 992 (6146630209 490131333994967958721 796773970317716253632200425409) (C 132))

June 26, 2003

By Hisanori Mishima (= me, June 25, 2003),

(106 623 (107 190271 5967271 1877062713649 2104416236210794270106423438983) (P 89))
(106 693 (107 743 9011 12952132793 304229507833841330167302187732951 680801307955030837909105236352163) (P 64))


By Sean A. Irvine (June 24, 2003),

by Leherbauer/CWI SNFS
(94 836 (1129 113514655347958688089845922420940479411718108517252400419880242349) (P 67))
(94 949 (4231 402133 341412038359463849 16830371701208303857618160659196216346074347385677) (P 61))
(94 957 (283 454021 64976060297 395409449453766602089315236258192201653) (P 80))
(94 959 (101051 131413 17393529137 284846203341254189961190988845557081506148081169) (P 70))
(94 962 (2633 21136673745731232794269 24415112343729090780793296254465182663167872335173839) (P 60))
(94 972 (5923 33866509 40302856129699363 6665874230773544793836073578016878363041) (P 70))
(94 976 (4632558479 61019703222257572925387722678051089172321) (P 88))
(94 985 (13913 4599154851277725718510619675269819 30879107784041314324179248784140135912803783) (P 57))
(94 986 (47 60913 166853009 21804080878277345210004916794942870223440232385957253645343) (P 65))
(94 988 (148700419725071798892282507053 214761966663563534783130508049823813358072664437) (P 62))
(94 990 (1378839941 1893742954407127 28738502077747151507659650727110881474285275383571) (P 64))
(94 993 (659 44839 26626931670418713302320388749140708560744106282543803) (P 78))
(94 994 (1787 1065209 22553081145469487 696404689079502727911497255423347347653503809735311) (P 62))

June 22, 2003

By Tetsuya Kobayashi (June 21, 2003),

by mpqs4linux 0.61
(140 544 (281 421 701 2801 1376291375240597484761 814825022831501748578707636413071118181) (P 60))
(140 932 (5881 531581 151646881 9293713166081 10526327299601 2656500639759912948532345232006407011083262480241) (P 51))

(144 217 (1009 1297 25542577 12593155459781167886933342036026544819690641) (P 56))
(144 279 (433 1873 126001 144309169 54939781994032296114970155265179704305297) (P 58))
(144 399 (56061636913 3133437206482801 1687194445751475102596253389802948763749091729) (P 54))
(144 714 (1009 2255761 3104641 24091377567668399788273 973980807856813276782941920921557741168415777) (P 54))
(144 888 (139191046715225521 145749930227068535406935569 96360799408921302229367056275394135537) (P 61))

(156 208 (313 51481 473929 38896091711235122831392627966357367353) (P 61))
(156 515 (190215658933 132455488410849456997 149478301922846887127334343130473822377721) (P 58))
(156 694 (157 47371422362161 4358031436098485379001 8125773897462405402987506716921121089) (P 62))
(156 711 (157 1496694889 8330688133 362927648927596273 142038371552578937563386418920346561) (P 63))

(168 178 (8499504889 11864489135423361466464513819136532589613609) (P 56))
(168 381 (673 74129256905590800943009 699376544076142776815764926547153345537) (P 60))

(210 441 (2616115321 6474775133349148921 2260473771611723850539339307597381961827361) (P 57))
(210 835 (211 9871 23311 223743016600216955278572990530971 1932471130204767581700777488029237898506099703011) (P 49))

by GMP-ECM 5.0.1 (B1=3000000)
(144 234 (209633923387157449230348481) (P 88))
(144 396 (84448938653178164595246138049) (P 96))
(168 296 (8069438316587075947882869577) (P 91))
(168 617 (497018406177127113660008061001) (C 105))
(162 210 (152442067804058514726447808411) (C 97))
(174 721 (1122013780874616819285463643239) (P 130))
(85 759 (3116833342179882437045283515311) (C 154))
(85 820 (180772237991888243505742051) (C 161))
(85 909 (29516487796495490887409618881437091) (P 155))
(170 865 (1894367634016237358609431) (C 164))
(192 236 (781519589689738077044941252993) (C 122))
(240 599 (3803456283680100827583751681) (C 151))
(134 336 (31269833155827938881067821) (C 142))
(142 863 (286292616187508733083475873983) (C 177))


By me (Hisanori Mishima, June 21, 2003),

(53 422 (107 2333 75265513 594405389 3255667561189903488068249 3243376502913968117759360803360478718037) (P 51))
(53 476 (107 510179 580033 15979884016589 4715660027773443246930567917 72832018349759270023481697874507518692873) (P 44))
(53 605 (3181 12721 1508252633840684609939 17415615735877851234054384081748289 2467153368131002679040116165995925179259) (P 43))
(53 649 (1311433 10644970713609929 3727976077128292070015369) (C 100))

June 19, 2003

By Sinkiti Sibata (June 15, 2003),

by SNFS Ver 2.01
(162 214 (3079 556679940705650255753647 397375892713796818677350760684852876066278701) (P 55))
by PPSIQS Ver 1.1
(186 205 (22609948532280659083 4855383825293992030693 139795450964994163502825499613) (P 69))

June 16, 2003

By Tetsuya Kobayashi (June 15, 2003),

by mpqs4linux 0.61
(105 129 (1471 362624560888537710187926002343945701074261) (P 57))
(105 891 (211 9441757240651 10970069216348108903951885671 9331133827159595917040522883644351673745039286011) (P 50))
(105 979 (5576881014045287681281 479527255210210306385161 6002004581906437599109632503092567838516731) (P 56))

(112 671 (92849 337793 6432473041 49522479735862673 1159858019679025142019120115866451576334772799729) (P 51))
(112 878 (449 8300786591033451761 4458322987892549805233 242907996417691153751220490475449381625873) (P 57))

(140 413 (281 421 136501 65848257855086981 39902026961775982214343306495687143229175902361) (P 52))

by GMP-ECM 5.0.1 (B1=3000000)
(130 921 (334693422077282611094324310271) (P 113))
(144 538 (10360942168864083642569725052833) (P 101))
(162 519 (22500011196863750039812036763332161727) (P 110))
(116 738 (844157088147611611929709) (C 137))
(174 208 (676713232677935456468953695199) (P 100))
(118 880 (23808739529133191027797) (C 149))
(85 695 (155310619654969055321141) (C 159))
(170 944 (126085908497435371176208121369321) (P 159))
(204 739 (623012987360108497058701) (C 160))
(240 540 (65861119336782276877120321) (P 150))
(134 145 (16838991616489378017731341) (P 118))
(134 313 (14717314419728762871765199) (C 140))
(142 453 (70436447030735229777719) (P 164))


By David A. Miller (June 14, 2003),

(192 104 (6463159368252966010561 2041648093825158722651698325761) (P 77))
(192 363 (6529 11613300027009834542618201819137) (C 129))
(192 520 (43201 3311676755090497 4826126831725575830773633 11659603574156087099556581761) (P 101))
(192 847 (4046295361 2175208790977 163132064531121519211009 2644965942787596929055862081 18109058705671140764015034241 5246437899582183452195338461831553) (P 53))
(192 940 (303553 19089345708220854147277310209) (P 157))

The n=192 tables have been fully tested with ECM at B1=50000,
and he is working on them at B1=250000 soon as well.


By Sean A. Irvine (June 13, 2003),

by Leherbauer/CWI SNFS
(94 895 (941 689951740652005562621758947457944316312316096033482881538362304331) (P 67))
(94 931 (20963 85046470682870343155366487299046918274298976883148578651497547) (P 71))
(94 982 (5171 26670154345596221868799833117828308242282109912877539) (P 82))
(94 992 (322891 19705407025295460075848503713035425143923) (P 93))

By Robert G. Wilson v (June 13, 2003),

(94 710 (362112629 557501894596913211229013 4502596410244979799062445146345496979819111904789) (P 51))
(94 746 (5255158652315362861969924757565428417 166875052035433278428709672785794599346204213) (P 52))

June 11, 2003

Errata pointed by Robert Backstrom (June 09, 2003),

Error (192 658 (193 33172003143361 47566400422861329690215809 1273350190706234523822031368769 68444678695715858256429627872449) (C 103))
True  (192 658 (193 33172003143361 47566400422861329690215809 1273350190706234523822031368769 68444678695715858256429627872449) (P 77))


By Tetsuya Kobayashi (June 10, 2003),

by mpqs4linux 0.61
(156 374 (157 140128525057 6994125194473 783474850488327889387519427292444591092259341257) (P 50))
(156 387 (157 2341 3121 6397 2026909 37551541 5319717146657003592197107820672637829) (P 61))
(156 902 (59161909 120837431691913 47226229804415218277137 352960875196056462701038086270166542441373321) (P 53))

(168 513 (48889 271489 1400449 18688112076196081 224938689852152000950725229111884636793) (P 60))
(168 572 (1009 10753 190531153 2205745081 13936473937 14040761352329592927470949188329) (P 67))
(168 920 (337 8737 660409 110441857 148249081 31732134972499417 2745422898795431432452766373572381933721811201) (P 52))

(210 157 (30613801 4928273870042757956371810261225450811795549868931) (P 50))
(210 546 (12391 35281 426894301 60508454938698271 2097086021172481587973433948082818957683821121) (P 53))

by GMP-ECM 5.0.1 (B1=11000000)
(116 613 (6961 963871218241 410987033003744777 8849624278148606738565394781 197830981737173781142761580851819509) (P 60))

Errata.

False:
(81 140 (1459 1226179 1145386428543892637268974980931423075496851286109) (P 59)
True:
(81 140 (1459 1226179 1145386428543892637268974980931423075496851286109) (P 59))


By Sinkiti Sibata (June 09, 2003),

by PPSIQS Ver 1.1(Linux)
(154 455 (463 617 1204922788832687 63602879528243441 569131557889718980083191111 1695134692316938214205122486415827563) (P 60))
by PPSIQS Ver 1.1
(186 217 (9859 10385207887 330778029931 5868314622903652951 3742403614373339960266229646271 18882065366763754142326815069691) (P 35))


By Sean A. Irvine (June 09, 2003),

by Leherbauer/CWI SNFS
(94 545 (1392395869539733702051939037078898157326550261217124168611) (P 69))
(94 620 (4081030098504916194458908734628885794897969548499791060233) (P 71))
(94 626 (1067805808492049296952272912309126263729813223) (P 84))
(94 758 (3302533732751291490415917677293340337098505821) (P 87))
(94 801 (17678103889644972001311601873643981173681) (P 94))
(94 813 (88113152089493132470538464074926449859082060430942847) (P 81))
(94 950 (5923 87018787227059614202452212435449805535189632623) (P 87))
(94 969 (283 903840346898329293096366005406297641743 22157678225301933115434610263794180028872603) (P 53))

June 09, 2003

By Tetsuya Kobayashi (June 05, 2003),

by mpqs4linux 0.61
(105 314 (211 727887091 47876329411 153123725232608466949690126026741005971) (P 60))
(105 667 (421 197882737908476130644462612394077311 30264095288152497544520358092702304379122011941) (P 52))

(130 158 (1951 29641 76129373690388985151282704026643978093561) (P 57))
(130 220 (1171 2341 340289951 3546094709610046682528042798438977027954661) (P 55))

(140 286 (281 9521 35184234384181 1259782358347800710572130491896203468715092141) (P 53))
(140 624 (421 701 148961 7396621 25186560419119680701 882185693539151540058060792328010769455341) (P 56))
(140 813 (108889402441 108440175613001 195645643880900221 723570631155666137335532914050636483834283224661) (P 50))

(144 690 (224337889 779288689 17872562881 573611066929 3772177877495469724253149847116100862673) (P 58))

(156 253 (13 157 495457 765914293 59657105507087557096737549144593965663910233) (P 54))
(156 261 (157 2341 51949 198123589 87796604243630326012379094539360981893) (P 60))
(156 348 (157 92041 13643293 7819073809 35993117154578846597685292156428241) (P 64))

by GMP-ECM 5.0.1 (B1=11000000)
(112 153 (22380401 2337322311004364068613723458747974673777729) (P 56))

(116 255 (100109 275269 420893183857 2392558226812707593 4288895016422260692147277) (P 70))
(116 815 (8933 36541 5635089877 15132680871708670252344529 19073881618057163715193577 756119050503129882550685629) (P 68))

(174 297 (1741 26449 106196651269 30622559869562897846963989 563042588581304607381653563) (P 68))
(174 329 (349 523 7304252041 9715295750885311 10495998233707771 2666976567118432496133175734361 8292939809480575626169899565867) (P 33))

#(154 386 (118273 1055671 942714389 11190213959 1437849903491 10734410707284041317 57764436260864241544218179983) (P 66))

(198 585 (397 2377 129097 222246883 2505202723 22851800514379 77520381978799 50489146610495407 227024109120358630302259159 435694927765379834468522629) (P 41))

(170 152 (1871 24481 23078899515609881 9881506464970859861141 176155532554250208481413011) (P 68))

(134 208 (269 20101 70351 422369 45177833 537037027 205935476507037599152855361 1522710665620288434181730743) (P 66))
(134 648 (21977 296924048339 1464068259289 2630822271215573881 8163522610577675113 18197689197926623164658699 289536825329153815460062405835363) (P 63))


By David A. Miller (June 04, 2003),

(192 236 (1089496192465719665990434728481921) (C 119))
(192 298 (265921 1198849 5241793 4395922934942070529 31762997860672186479169 299974981604034994815196993) (P 73))
(192 313 (193 103211340162241 1918027031843481933993793 228536352518926257219501078913) (P 90))
(192 409 (18049 814556114053357423632749592001) (C 133))
(192 658 (193 33172003143361 47566400422861329690215809 1273350190706234523822031368769 68444678695715858256429627872449) (C 103))
(192 785 (577 249425089 858851014849 81656459170177 541143441828780133633 11310114994419506806703643073) (C 100))
(192 796 (100609 459649 9750149296630401967849921 3390206027923953724892112769) (C 123))
(192 903 (13331388098881 11341328782478977 615100043420355457 534763138550599729735872654588097) (P 110))
(192 905 (577 270527617 59595993217 420756540237315638593 7438954786133914192300674904912129) (P 113))
(192 973 (108851044062286959512215797121) (P 163))
(192 996 (101709697 7698100801 56358349210369 51800533657356940033 56897811227194362943700254081) (C 112))


By Sean A. Irvine (June 04, 2003),

by ECM
(67 252 (17789811081710617418077936123) (C 131))

by Leherbauer/CWI SNFS
(94 840 (12560346614900928499647342202767145821428951186027777) (P 83))


By Robert G. Wilson v (June 04, 2003),

(94 940 (2991551 1244991146962040946281749662053631631 55041462058636347351038409276685550965698679189) (P 48))

May 31, 2003

By Philippe Strohl (May 26, 2003),

(by ppsiqs v1.1)
(180 812 (252606120066531873361 5590507793267829583621 9284590582325808287293056994865717222341) (P 58))

(tooks 386 hours with a celeron 700 and ppsiqs v1.1!)
(180 261 (5377861 148697850601 52935132654367400641583593810026984026833501861) (P 52))

GMP-ECM 5.0
(180 326 (96066131423881149721 60817864010738109557933304361) (P 72))

GMP-ECM 5.1-beta
(180 680 (651839501701 301597984544646197705221 229705793755547489701121230423574651077681) (P 60))

GMP-ECM 5.1-beta [powered by GMP 4.1] [ECM]
46436416686221117526001011587941788079455862197525204026522648954708910430993356870676637936585037481 (101 digits)
C101 Using B1=3000000, B2=4016636514, polynomial Dickson(12), sigma=4016687188
********** Factor found in step 2: 229705793755547489701121230423574651077681
p42 = 229705793755547489701121230423574651077681
p60 = 202156053301984503829211482595082184315955328511738858615801

GMP-ECM 5.0
(180 796 (541 942661 47942763875101 37515574931203261 4491447055887718619610836761) (P 73))
(180 928 (181 314641 218101321 7771753261 6825000484829341 95086877303216820591586801) (P 75))


By Sinkiti Sibata (May 26, 2003),

by PPSIQS Ver 1.1(Linux)
(154 158 (4621 1121737 3759297859087 198587660388349 84780488282852895048134389) (P 70))
(154 386 (118273 1055671 942714389 11190213959 1437849903491 10734410707284041317 57764436260864241544218179983) (P 66))


By Tetsuya Kobayashi (May 26, 2003),

by mpqs4linux 0.61
(128 483 (2 257 724958977 1942248449 38935011457 13595011851472456998017 124734508941097095375439361 2930080284858403257817379201) (P 65))
(136 126 (965329 5473738580584033 69602815353812764129 2407994876603643908631222387730456793) (P 57))
(192 135 (193 2113 1912513 9929089 11413078614031530836071681 312018568097203797306659505133382148485771713) (P 48))
(240 107 (4121757262191601 16061031963590768925601 1143971929376370058654178132614948726612380721) (P 48))

by GMP-ECM 5.0.1 (B1=11000000)
(140 214 (85994829985681 3207093347086615342301178638542442341) (P 62))

May 26, 2003

By David A. Miller (May 22, 2003),

(192 106 (45900935103264001290260024641) (P 101))
(192 194 (1416317953 8035712659951009157280043969 36494026470863617565072102449870273 521674526767781608117549704772796353) (P 40))
(192 346 (193 1889537655852701830273 5339871416724991880449 84101322981740179988411087617) (P 89))
(192 490 (577 142657 811188875948721409 57901484749172904758596033) (P 121))
(192 534 (193 769 328379137 2077273882624720168643366340097) (P 131))
(192 564 (193 221436395795970049 26992996187239474255403925474049) (C 126))


By Tetsuya Kobayashi (May 22, 2003),

by mpqs4linux 0.61
(116 203 (233 349 1973 1887437 114571011297653964778817 2481914853483046592714578109 3486100533968707244057342848289) (P 34))

(118 853 (1063 3541 9083027878069 9281915252827117473821957 19839280919469764908542071 1773886032100638524077071173452877) (P 67))

(134 279 (104789 26268289 74583463 401825399 6204917692238746703 97316099970017325295993 1774582464884808549333155860629806525855131) (P 49))

(136 183 (137 4899838193 1343686929337 132503485088761 2848857236751457 137454985993502184548032068842379740777) (P 54))
(136 189 (17 137 17137 1286561 120038477284587994481 459275439989218662449 584156638280180504058892091872357749137320481) (P 47))
(136 194 (137 409 432588529 2874921021662489 1282933769251959537447071593 153445571753113518269233562583650609) (P 56))
(136 292 (6051457 2109773441 3804546875273 13424741959841 5267678268287811930842009 59938038017002361018520477773457628937) (P 54))

(154 500 (1899283849 157763357051609 3355024458862939787 5445860754125933405696884607 15651363941496396705364004092174007) (P 59))

(174 126 (523 5569 457099 10290187 29028073 279970162066951673350320048663723900203173) (P 50))
(174 138 (841534187368589203111589173 3924462657135702707581679623) (P 66))
(174 292 (163561 186877 22953037 277011038041 174176977468210459 30207787048170927689420170824025027993) (P 55))
(174 689 (349 7005954456181 8220876205044668812525519 109204436583241414989520393 3168294786574419329214836449958493354781) (P 54))
(174 934 (523 24860827681 26506073371 84945132336499 2540538398503627 4484291795727380227867 43169203547672007306542803225606737127300627) (P 49))

(53 382 (107 2797447 298463353 6070488773 1094005816290901 489703176533226900355080886517653447627247933) (P 48))
(53 408 (107 2969 5146619 2731375883 44347245018338581833091 43271214795642000002033930441558661523) (P 54))
(53 808 (743 4241 51517 209669 239137 1790633413118311337 12576761564866549789 17900318661144227163264955221277073827) (P 55))

(65 617 (1301 12126791 22708459035959757509927448503131 15165415373481359809848558194174354002670504581) (P 47))
(65 621 (7151 59973941 1676667879541932945922808411261 5677619170091162410348716282608291) (P 59))

(85 468 (200771 601631 13753171 113470981330112561 545462693204905340731 39801765827573496108181 7694747718687601379967745115197526495922281) (P 50))

(87 170 (2089 39025006725499844129004583903 3485749376428660159411748419260433) (P 60))
(87 200 (12007 3651217 22883507167 3075291552444511 5826237384780608020440284848651061298289) (P 53))
(87 271 (349 11555297483797 7528363961586046825016969551 918557724368299374056571599076181537937689) (P 51))
(87 867 (1741 4992409 90660961 1355827141 630008506604813377 1926765004190428463440696477 574357863841051686073591142453438711778716593) (P 48))

by GMP-ECM 5.0.1 (B1=11000000)
(140 574 (701 2414021 365999201 5860977999199261 3442056369038445778818076289331822721) (P 63))

May 19, 2003

By David A. Miller (May 17, 2003),

(192 300 (14569383553 878179764574041440471493121) (P 122))
(192 374 (13441 61441 3139393 137672739892393552941298753) (P 124))
(192 506 (193 9686401 148206689393182604072037313 102619213300832483484521216859159937) (C 103))
(192 516 (27268085569 29138995470638020624766114881) (C 135))
(192 655 (9932916925542694849 32729219383353299329 7981133167010118124891162367809) (P 111))
(192 666 (26113 102913 103681 145361857 302782657 28105085033089 1614650964184747390563450949057) (C 106))
(192 744 (4993 68028935041 951857001921706561 872353411180043375849320984513) (P 122))
(192 765 (769 16071859814402474497 121453542994117995457 42879205559561125300277001793) (P 114))
(192 834 (172767385183659149716830394561) (C 158))
(192 875 (193 1153 8641 35521 24254977 3804312015608375018081757179137) (C 137))


By Tetsuya Kobayashi (May 15, 2003),

by mpqs4linux 0.61
(105 275 (421 46541904802498141 3351944159454315283563002182172693623962499351) (P 53))

(112 827 (1676641 301795649 3867693850047943057971996721 51115614656870617764920637583072852153777) (P 58))

(116 155 (5801 650413 152133844097 2708662891721 1964190497157180131285029) (P 66))
(116 454 (10145477 13054689649 298422036184859296249 327273523245848352893 5708575773622066588267322720685559228857541) (P 48))

(118 722 (4721 148091 32507916497923 3414073869871657 31986801112631153 7605796368001987619929 76085094729288426825441599421642229090721) (P 49))

(128 255 (2 202610982908014337 34048680263266020353 463447759285400673020368513 364326859315471323240730350068993) (P 58))

(160 538 (758561 33150553759201 59626909828001 260432103133921 426513419553281 8124811115754287465818561 51253721982435995355879867525524956696862401) (P 44))

(174 152 (26449 12642319 77499650275010554807 1393407679037283465548958872749) (P 61))
(174 221 (2089 5569 4215700537 1294318465133805229469887 52553472896283777392290832485729759) (P 56))
(174 261 (4177 83118005307973 268923746429382881500592282701 13310123774568344055126792557268780013) (P 52))
(174 288 (69427 776563 23948372982739 52529094835029029165731 1371807951667137977346534332568823610041) (P 52))
(174 374 (9041012161 4846705920506224438687 16782454671149389250467 18114239004008378224339509044010687831854941) (P 47))
(174 586 (765949 492969136325028693020424468001 1005055155119684230430499333169 7382646782714616566966399607359854142785147) (P 47))
(174 895 (3746051047 1213551676951 1708682904210511 1883584547497813 113535476092105483512637 10437780121150092939132673659982461730387) (P 51))

(186 872 (29389 4341803747401 625915883077567 6634327644093673 224403220837830901 13403224596646743738163 4300138260606553123062716383048183) (P 56))

(240 191 (2960161 35343745477607761 2037506683007913121 102942957148927454964001 6792483943234171024492306100606401) (P 48))

(65 297 (131 1171 296499868437631277556996102791 878079845666155858684381099625112581) (P 49))
(65 411 (521 1171 239416495763265731881558774031 2341889385380117077544425228890763691) (P 54))
(65 682 (131 959921 1259166249251 11046975182289654295167305950151 24730451287083381157792191800679784591) (P 48))

(87 391 (1900777 3610153 5292735563280518233 1616112086012301204672157 334942759263037524861772245252740265068881) (P 48))

by GMP-ECM 5.0.1 (B1=11000000)
(112 536 (113 2689 350561 2908276673 636803297089 122688094561489854066509320084370369) (P 64))

(140 110 (88811623711096957294181727463709342761) (P 61))

(144 111 (146553420105793933069052737) (P 73))

(156 316 (3121 22408944405295767229 51111473196500950494042182308441) (P 66))
(156 403 (231349 212810833 12471425491981 1112797765650221339324777926503889) (P 66))

(168 276 (7561 18481 300868573321 412936260549876455409797761801) (P 68))


By Sinkiti Sibata (May 15, 2003),

by GMP-ECM4c
(81 458 (5023 134947 10216693 30618001 13694374751487474063843304669) (P 93))
by PPSIQS Ver1.1(Linux)
(154 148 (4159 183569 740279 1353129756493928759039 10317888533819978596703573563197755996854317079) (P 49))

May 15, 2003

By Sean A. Irvine (May 14, 2003),

by ECM
(71 574 (569 83639 454789314289554900471249162570419 12668509460863612928038193145545563) (P 119))

by Leherbauer/CWI SNFS
(94 880 (26201124173811554002125504934646703293729) (P 96))

May 13, 2003

By Tetsuya Kobayashi (May 03, 2003),

by mpqs4linux 0.61
(130 371 (911 2731 447344289073449737971 1479679999273623537209912023231) (P 67))

(156 176 (13 120121 185641 10705785717396063275675932681) (P 69))

by GMP-ECM 5.0.1 (B1=11000000)
(112 657 (113 337 3361 23857 4589344100076924470630993 34824957767477093700659727824161) (P 67))
(112 704 (449 4481 7393 119107297 185692097753281451809 5558658803826339418941282737777) (P 68))

(130 150 (11152441 867194453740469129713631007361) (P 68))
(130 559 (11831 657259246968908083269470878321 564104855394568635044067568465861) (C 66))
(130 736 (101921 231271 486721 2938391 71446723912889651 39298772245710662059575853901) (P 70))

(140 500 (218600201 3299659721 155383601519441 230202266959495129980720159401) (P 69))
(140 638 (429337301 7100887213020314297644702601 170561064795150108987268677036659267281) (P 60))
(140 962 (32569152117657295561 11204503445396011513862401 294062399461435827814053841) (P 73))

(144 148 (2504881 757495920768463529984748673) (C 71))
(144 310 (1153 7838641 213918482161 626843595746686904862753525553113409) (P 63))
(144 682 (10369 13681 16993 24049 24481 14842081 28680067441 15659082557103407169169805041) (P 70))

(156 184 (13 12052814593 9458985212947084888085191139845204009) (P 61))

(168 321 (2689 1725697 21212069545801 5650183658992126476606284041) (P 70))


By me (Hisanori Mishima),
(130 559 (11831 73172635797504003307244892091 657259246968908083269470878321 564104855394568635044067568465861) (P 37))
(144 148 (2504881 757495920768463529984748673 70728808621496984498352564505729) (P 40))


By Sander Hoogendoorn (May 10, 2003),

By NFSX 1.8
(112 141 (1009 87354499496039048851280745281) (P 72))
P72 = 164945686007793710592603620375960724424883000763812938742827249657615409

May 09, 2003

By Tomoya Adachi (May 06, 2003),

by GMP-ECM 5
(104 770 (367497544274241830479225365443488887137233) (P 97))
(104 815 (313 144140925249772516313 34070469277268564723338355162530963959809) (P 77))
(104 862 (213929 53359489 1450095902211668733482001276599761604513) (P 89))


By Sinkiti Sibata (May 06, 2003),

by GMP-ECM4c
(81 717 (1459 53299 187273 48336175611343 20185048728662710679400971809) (C 100))
by PPSIQS Ver 1.1(Linux)
(154 301 (7393 3493922470501 19093284544520803 16055417076465080708549 306500250873755604400884546629 17067597560107853978851180392691) (P 34))


By David A. Miller (May 05, 2003),

(192 254 (193 6364283460637633 102877867007563252928339713) (P 110))
(192 321 (1153 4303083649 29577333426731958337 14864364048864659722720070977) (C 101))
(192 367 (193 2606017 17948353 409866107545067364613601417407297) (C 116))
(192 371 (193 577 10753 135402437953 72185412698337409 1847999929452661707947009158081) (P 98))
(192 436 (8641 88897 2445697 28396993 78395137003701323142863809) (C 121))
(192 442 (6337 6529 7873 1484929 1502816624483561624348929 3529336674955777727716348056769) (P 97))
(192 463 (193 555190411082346241 495779969445260977118977 164028587246238046543821889) (C 101))
(192 477 (193 6337 27659618937350725235216826433) (C 137))
(192 638 (53683009 55148161 15554969383297 314097857763508360347467521) (P 125))
(192 658 (193 33172003143361 1273350190706234523822031368769 68444678695715858256429627872449) (C 103))
(192 684 (9601 14593 2553409 282807311446626049 3421487597234629249 109183568103017490524808864961) (C 102))
(192 808 (10753 5584124894250252963352002817) (P 155))
(192 921 (193 2113 81279553 25513376977948609 50351812058361106753 1674211033438446959400961 1103710676079018197428531201) (P 89))
(192 922 (18521281 714777409 110119990301569 78558792051072201575395009) (P 134))
(192 935 (193 13249 5844716727737635906506433 5564314281494961300684280321) (P 132))
(192 964 (14719892694229954302924419713) (P 163))
(192 997 (769 174234326977 103713113070411619236337153 74843978167171284811342364929) (P 123))

(April 24, 2003)

(192 259 (193 1153 2689 27065633538207399596807809 1666665596048956082443387201) (C 94))
(192 329 (193 299959865372801999521518529 4855621490014955117456175937) (C 105))
(192 756 (2113 1466671873 82889780161 349003247407498284966913) (P 138))


By Steven Whitaker (May 04, 2003),

(104 539 (9049 21280793 12177074148783940737726035181479633269313) (P 80))
(104 540 (42464798377 4010807283441902989224261908603606921) (P 84))
(104 545 (521 102233 151392584513 43620830303797372299431683363284041952676202609) (P 66))
(104 549 (76129 3583633 267402617 918668027235413417913354582480662922125617457) (P 67))
(104 551 (647207052384202003006707352961739093394358230247521) (P 81))

The followings are reserved for him;

(104 554 (3049708199267532784489) (C 111))
(104 559 (1070731273) (C 123))
(104 560 (521) (C 130))
(104 561 (219161173975393059593) (C 112))
(104 564 (937 3329) (C 126))
(104 567 (521 4889) (C 126))
(104 569 (1) (C 133))


By Tetsuya Kobayashi (May 03, 2003),

by mpqs4linux 0.61
(156 620 (16069 3084901 7188793 181535173 147409519921 56744549384905830658411528004430762982985668657) (P 51))
(168 522 (10753 2828218681 44052432825065036233 928074942427123583909052601 102934511438176472855828313092353177) (P 36))
(210 550 (9375728251 1444027854450360196213351 192136085062088206473964413167218023013951595731) (P 51))

by GMP-ECM 5.0.1
(94 680 (2069 371536012210202785554376628557858658400377) (P 86))

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