Old log (2002)
November 26, 2002
By Sean Irvine (November 25, 2002),
Eu100 C134=
37425288022730945391029688959184999895624961872309545117125516009 (p65) *
323426745939670232370945964142599333281963947324682256641819433713631 (p69)
by GNFS
Details
He used the Bahr/Franke/Kleinjung implementation of GNFS. The polynomials were
skewness=2331.44
X5 7501153920
X4 104510451311408
X3 -185741086501574858
X2 -599686580163196313967
X1 789968119556196034481214
X0 -184694844231596559105007533
Y1 1552395546311477
Y0 -4380888221434311289646038
M
8461521186264307412544994144465698841892036405367113196796862036971731568276035905472771732423621553679837857046381267828180322586232
Lattice sieving was performed on the special q on the algebraic side
between 8.5e6 and 38.2e6. The factor base bounds
were 6.2e6 and 8.5e6 on the rational and algebraic sides respectively.
The large prime bound was 2^32 on both sides.
After filtering the reduced matrix was of size 1957443 * 1957568
which took 77 hours using the block Lanczos method on a 1.6GHz Athlon.
The factor was found on the 5th dependency.
November 11, 2002
By Sean Irvine (November 05, 2002),
j686 C120=
7298526327359926468306286578379406763 (p37) *
27067339868897040382930536732169395974829670850117520443764368275424563695800972179 (p83)
October 31, 2002
By Sean Irvine
(October 25, 2002),
j(684) C102=
7814809705350950409899121356105977 (p34) *
22386559019199306819763077763766958930729852814912318631273622766457 (p68)
(October 23, 2002),
j(526) C115=
3862376416743883289368192623188482763 (p37) *
1114629057605256130028771001071681522254159564440105413252886083904204176774959 (p79)
by GNFS
(October 21, 2002),
The prime factorization of 108!+1 is:
108!+1 = 109.27283.3694069667.270408744521692830167.
10647562554019124667478091293300587259958291268234001823.
41879725574449384638539301938785516570222375394165165665984876319254032556578096389
The last C138 composite was split using the Franke/Kleinjung/Bahr implementation of GNFS.
By me (Hisanori Mishima : October 30, 2002),
Compositorial + NextComposite : 125 : 1473547323282737711864818757941033612131841237138866922491167006502970657139941700414114981303155331 (c100)=
664144207588573313295888461 (p27) *
2218715915076649512153067787166638977155486394698190330739535399427718671 (p73)
October 12, 2002
By Robert Backstrom (October 06, 2002),
Wol1(401) : 56168184068100979461593504230342360610261213847333777180981646921602207640838152602340508145713 (c95)=
164138254674353819285250439337882331565199725423 (p48) *
342200446687685621882111509992476170348625051231 (p48)
Wol1(443) : 14466622842112274933986745466175427537201139189696696298218984071926714835458491518806053012609581 (c98)=
1232301264685225365289885383255967623618247 (p43) *
11739517970719260289725278051354937231308841670229711723 (p56)
Wol2(143) : 320653691314445656834582905325258953692356282922954551681800837992801739787388753719360073522854417 (c99)
4123252662852130770996390477362006817697 (p40) *
77767170128411077757730798741843878765719221207511977371761 (p59)
Wol2(164) : 2868648609657812609298646294034856004267127938957527447496746534193337240338427269093101154068113 (c97)
57927655744769062138356273117500217917701813 (p44) *
49521227344278558559982804638744095832365155794245101 (p53)
Wol3(105) : 4947486010057597073320400742427628421181449679104905103407990803821117699353441687193277196422765069 (c100)=
30920887268697507862658312833 (p29) *
160004658568324513769480995794521349381100416814326011632172624511185293 (p72)
Wol3(136) : 2106347582386300601323795471291488598591529923936408273688231489404601083154505485309986344773091199 (c100)
15515586948180802047607109239107700793654018233 (p47) *
135756874001680563462725618538328344771913356122240503 (p54)
Wol4(65) : 7701893749136414953635482965203384198103228607259748637196236197718190454837504695349324202334187 (c97)=
68431111588798073623060673600652499135849005743 (p47) *
112549592872566857539524055565974885487562633477509 (p51)
sumofip(53) : 435832498825659020936105557689849418308452661560467517487075749936642054862123188275735713223267 (c96)=
7313113087636909616856476683740381743 (p37) *
59596028887130176141283559598310215249041959133422159981069 (p59)
September 15, 2002
By Sean Irvine (September 09, 2002),
j675 C98=
771111394369333308514533626962957025772641471203 (p48) *
24826156287571067607737575137758406807312520071773 (p50)
September 09, 2002
By Sean Irvine (September 07, 2002),
W1,291 C125=
1684022990936910258851342295203854202705020407207353 (p52) *
33273570976473341238074907480464231404632323721279299851437107104558713259 (p75)
by GNFS
September 06, 2002
By Sean Irvine (August 27, 2002),
j674 C130=
3605700049977269764883297657058779 (p34) *
828733320788154921969899540962389754901 (p39) *
517436560859242031278007502318909928700482627788819610619 (p57)
August 26, 2002
By Sean Irvine (August 22, 2002),
j673 C117=
4424561890249708954965457121 (p28) *
146088183980417586672792973920835619939197645048572180573841633422930224865598963278348097 (p90)
August 05, 2002
By Sean Irvine (August 01, 2002),
j575 C112=
1026268956920647819706711685210316175443 (p40) *
1082202750762489995780774059951395046451372497783909669337135258835741859 (p73)
using Bahr/Franke/Kleinjung GNFS (5 days)
July 28, 2002
By Sean Irvine (July 23, 2002),
j(tau) 661 C105 =
130673651416405861256397369394600087 (p36) *
3169012352455568936308631765469223711433859499922377476201890359918559 (p70)
July 16, 2002
By Sean Irvine ,
(July 12, 2002)
W1,293: C119=
18809504672820080485821830469440893102058657 (p44) *
4279274109444313717871514352538635220917522499356729728041192674375456680869 (p76)
by Bahr/Franke/Kleinjung GNFS
(July 02, 2002)
114!-1: C158=156548140613622977981626666310401198875601601*C114 sigma=1684593346 after 4963@B1=11e6
with GNFS
By me (Hisanori Mishima : July 16, 2002),
Wol2(191) : 76592560775263589728711840545457520573613536743093921852857674709827054225700970648162514497511 (c95)=
2816445090365729647828281368050680859 (p37) *
27194764434522548461720884319945897347562762864823995451429 (p59)
j(tau) : 893 : 133665358127546805262750189739831831019437160692328502565722345153580822690933486842163519602807 (c96)=
193073999258445210288926780573939 (p33) *
692301183178087487549354325947290985450649427087374722665794413 (p63)
July 01, 2002
By me (Hisanori Mishima : June 30, 2002),
j(tau) : 743 : 2926962045211775745138958988255364422615427776835817944411158266128415014862697907839181670447 (c94) =
317637093360309035448719496433949946901 (p39) *
9214799235968326660682585473971691835395894335075076147 (p55)
June 26, 2002
Announcement.
From July 1 to 11, I will visit to China and Korea as business trips.
Last update will be on June 30, and Next update will be July 13.
By Robert Backstrom (June 25, 2002),
Compositorial + NextComposite : 94 : 25250528796534595850614167985121698191088920621222993312582188848067113218955782430193200055711 (c95)=
102543318263052135704000252518474983151033529383 (p48) *
246242556065525064991224275503178245927939241417 (p48)
By me (Hisanori Mishima : June 25, 2002),
j(tau) : 791 : 784854359667688094283515075150198108369493150809243888500802657855625849448817338559349329737 (c93)=
258659877166823023768063861387302377 (p36) *
3034310416692478576876234895528180908719712667603584643681 (p58)
June 24, 2002
By Robert Backstrom (June 22, 2002),
n! + Next (n+1) : 73 : 37265247190695469437378137770520792220991385866939868748179136105260534071954110050660283775447254781 (c101)=
914142599613679161655140253950373 (p33) *
40765245166830572304104268155696845925350420540737751319881171378297 (p68)
n! + Next (n+1) : 88 : 2154125888181540872130222761751416088835737880291456309091629630833133306159966861764422015081 (c94)=
991569916836373337146730475993293 (p33) *
2172439735822491613924886255276995930416305205255636671368717 (p61)
n! - Next (n+1) : 93 : 220843567456507479969708269279882827827701718690715303469817724502651269589446168865726615273 (c93)=
16732392468254605016333791820277799 (p35) *
13198564872028978225905830475917286163146747318282209225327 (p59)
Compositorial + NextComposite : 88 : 499860331789854099853237910232289214685899436877574292515561976692097190974509133431786261237 (c93)=
175086740799642841776322436072351970702915959 (p45) *
2854929673754448923206184990056961357837974125043 (p49)
June 20, 2002
By Sean Irvine (June 18, 2002),
j653 C99
1436189664016568355574859560989489093726037 (p43) *
183554527186882803559159669553779776577474889141144306099 (p57)
by Franke MPQS
June 16, 2002
By me (Hisanori Mishima : June 15, 2002),
Wol1(363) : 4595334980914914273511289310784840938031737845258801036570283507720639880434177729279821266934667002067612500259530710258876015246201984066705165672019 (c151)=
1898148351324212082530285143 (p28) *
2420956706418154382711785914834782060726549789943603659906870979497297197998061663252383559546830907287580818987701408236133 (p124)
Wol1(443) : 885943876610055930494720311308182887610332483881434775591671804772166596017906766586725548847911513338713093106034080932460027 (c126)=
61240545653203678942927860167 (p29) *
14466622842112274933986745466175427537201139189696696298218984071926714835458491518806053012609581 (c98)
Wol1(509) : 4388604542031625912573511279683686812677919697409922338746621749556830360150291293518213771884015847434090259312204320997318793158847280630632190745070014861487121486536560137085479959 (c184)=
5836042072521242406267993959 (p28) *
751983019912619381439165323572558685744714017845830169051284989127105654693488262429395618453993115623445457171554185203751909075665808024210249927684354001 (c156)
Wol1(518) : 237161230534142570437152939391527545724209678661907478241334447650037371879474732551774289202595870422726733288629093116006214226866351951661750392771040731207029637710579297637685132330527773409 (c195)=
7981783897917375709076107 (p25) *
29712810264886172982761118694860190815396634384255614996948693103899251009262068011426778634225544112275327021573550364518266768095926605896208143576048325439577582760387 (p170)
Wol1(579) : 13157690647041434180691975387592878034145834642545089577011753180286029031178524553408486739087197079391104332859771578662346060489807602062841200815450280777395554336540595820124840015240560279177451348952790225869633768029136580313 (c233)=
5277794935444194587842680599 (p28) *
2493028017947052849596879859772652122332325496160406293282705212744627703056795216194649223074095210623145257250011435885055899076556199687236927126038977024387012790560541945194086446867355861549427711887 (c205)
Wol2(228) : 354830878659293885187210515643911675055754141307135617783757958692273125985877584240889214762436411572088233108549293932367629244941789072707966510407361528537541857571 (c168)=
1820867966905073961976837961 (p28) *
194869087220200428497193800809579105851466380636321908897132412957628897856137081094451318740392912028005777389194325326252537380355726240011 (p141)
Wol2(258) : 185018964697112691547675149349633407330568373891520368110368278506311912119122189882276782528619417465301243339821155285078168947325090004142401160110214624745588286176275494960570592969091645054071724997 (c204)=
28004259943538036195866188907 (p29) *
6606815001365736534919888662891363269478934553759851918407805076976411329246766575267634503486317121609341629088905937152187895383466975749945751630488674881047332293668041871 (c175)
Wol3(113) : 41153239299380608973291074364753989865534381842262950482867574843199422886889532527443600179201842646478654072185973102699374896644413434137715013 (c146)=
355405283793431595204379141 (p27) *
115792423962103121906766418697570166330814669980394297765702273922759493630192071987201379581935491715323665406562108993 (c120)
Wol3(137) : 1624687642919852084912058505053403014399710953570076920452827199997998511558581398468199519212480924018626366748743566830609903207151370627916601704722312258094186467823 (c169)=
3852465084247705952514672817 (p28) *
421726766470387004427053831128182706186518666972771178268482151791224754404102127887307276290849136716801417743030083420106768222570951797919 (p141)
Wol4(103) : 44862768868294045465989376235964563221712161299160031376315180893924998751188313935911483108790992814224544244799049218066039997206427489038362553668857 (c152)=
43630772548495594655240401463 (p29) *
1028236866959646134075210917443364450930913843223629359140222639314154458173935613530801134923282442171072428726642991618639 (c124)
Wol4(105) : 1208429777404437072602396556831409181486960214594820437515469804701814997838825603455299520999059067471653960553828990231216822151887 (c133)=
70446646612919617590651998142227 (p32) *
17153829678286150712868176438447043162385010683105604370710875151784747865613491288976351509525434581 (p101)
Wol4(121) : 800939690124484437997111546314480701442029317609020479542541539120878925107822037312624141061263089340878727711289718144021485361771568406402285051652735411089835833527511557710389579 (c183)=
192888556194794613704694083 (p27) *
4152344265129083868005055857157456924037231837661039944939308323558260464696700500026940683495051190768301999935397014859467119134458982216917509918136775513 (c157)
Wol4(130) : 3939932791866643673911784601394675222008940657670336160004787679407260036478385708027481284856051427517604115864234732371218551676865687841705465296832749284308530651554976902161627401274572830281 (c196)=
65941748039535836104260137 (p26) *
59748685908423741214616063435942659905701892737248309188626013039624536501298412199523325782756392921085477694325370032479431669185308855227629775234445653284422778740513 (c170)
Kn(115) : 1029312823136809978550238339808078557896598586201313339668042675705566132712333340637299454324420082073751494733701048339581104466636125951961315822771013877836231 (c163)=
6217628689576129437126847 (p25) *
165547489971933445627947175009650917852515029468007110311659744045996441766264856634878970693992200835188499624557129864122887678570881273 (c138)
j(tau) : 693 : 170612000465341258659872806306605150102086320642413387906927531730362447363539075545990258754437560303820689218779365458423 (c123)=
7254799363317281701414491889 (p28) *
23517121828070561657776709035287524278066707748751547698009650537535388589567623238357962536807 (p95)
j(tau) : 722 : 95174201569814016904213189518332470697895481069503910799577291709733020383728794435896169728466805179865495039551 (c113)=
92980529558993100633271737449 (p29) *
1023592810465002817917463400304345185151136182094600226069423764915653314639717072999 (p85)
June 10, 2002
By me (Hisanori Mishima : June 09, 2002),
n! - Next (n+1) : 119 : 146231602894237108431791166698458980898197056309536329628792335206643053255179239108330131257420146062639185201308397278777787659562174219075906861746763709623 (c159)=
442237738971215573418475943 (p27) *
330662876565934708085912283266494594893908237367605477309496674695105287985443776722236479770647765893211145917947938294417104219761 (c132)
!n (84) : 13456923866047190937729418667126224550689676021117084338618000364425687193246993433601 (c86)=
97711156202452453681418306846642753 (p35) *
137721467937244973636658174366832579726373414535617 (p51)
!n (125) : 759193806247874150319140064071487515844793359618784500029430683511343424824139393856638704530201568490580820395612027416909768799528171595070631607494081108227341275417621288392519526278221168264460210470157 (c207)=
4003462951519339518498108071 (p28) *
189634277984202475937959035755111302527227608344349934448400104992312209068127217985528494451213597124069844318018068702245784430114155350699065438240123049149260633651657997831467 (c180)
!n (147) : 1561298255351537611978075283432195406369473017488723326351403047724072753523253774153499128389980800076321538767392973625605839854814723809750731471213468328732526013407964308742101569602404775319061589802537152095908049798575615810328664419 (c241)=
488506834115155706120687 (p24) *
3196062258124914596052556638721940306936762609745043855105071003993746564735181094001545441663536008912232987280246158503627834779995091743346439056941362460684055707971758731741114666901680357182892245639384293977037 (c217)
!n (150) : 64853711695255978392752597294862309389488573971999871407110624307165460427329610098482113314130995844336111685515283328385741913361522338015227376493181686251919679722179303878332231402235626497605032001237149350352867572562224173759 (c233)=
1318985116716816679014834977 (p28) *
49169403712976037641714690746187069773825070992085027344488176612808956177994181469363019333452663837402963532321140632016493520684789517672774560422684663857517948353820788444646775549562934007672857663967 (c206)
j(tau) : 828 : 1172179282653447570700569294185881039928804022255553393286759356040575093324085213137921451 (c91)=
278881119309351008255788618778563 (p33) *
4203150380191922432502491593794628741612782918093801206777 (p58)
June 05, 2002
By me (Hisanori Mishima : June 04, 2002),
n! + Next (n+1) : 89 : 129469715506036906422487115326086661298298204848779351035460168627654969681195544839559234737 (c93)=
18999361888742864115308532401857 (p32) *
6814424414050863888613897221996319451718794369732735692089841 (p61)
Wol4(101) : 21134292356869718685972710569707229259005460567104045527932140704493322765490802327 (c83)=
81114841649075363372340811607 (p29) *
260547785426276927357267831157279140395880286804064961 (p54)
June 04, 2002
By me (Hisanori Mishima : June 03, 2002),
#Pn-1 (104) : 456264631142068280635149470296338272998297727045651116330095720003168554609779860631656465366388908341572163262862343999068790882429783992493316696324491256484019430760989330923526904249175324519012493994427 (c207)=
35593901058734517633723601126029371 (p35) *
12818618290509177923804032504141169116318652425140503693165828077868422161881322552279671901472732701946660045275207948113125619002773296501057954595864085032199732446788737 (c173)
n! + Next (n+1) : 102 : 3470926611926038487100597684827651799477819151839925864149619906312388863286117655607635241452579246877204317618635592626367184270272682050541516245487364620939 (c160)=
36798920234787410502649241917 (p29) *
94321425459784016717861726277644484534716740069050096140933668952621671738365874505822215566400344054827991056481653844314136862567 (c131)
n! + Next (n+1) : 114 : 33412823298703362461945184069140280663618465649214791108212690673212816742312841230716037749000133243511826891380178826151816034696007 (c134)=
504405103146122657337541225421 (p30) *
66242040554898786320570193562485023205629550621681921300603309600719280099303054993564590240443435136867 (p104)
n! - Next (n+1) : 79 : 21986038003833903795551436806546478256456749540066951524893026788165382851386889787219381680799648785772067 (c107)=
5056646322268970609449009391743 (p31) *
4347948541904061097667287030679440381061319817407496383280805680360200472669 (p76)
n! - Next (n+1) : 99 : 13988325418512027773332404726019743738912059298064116416916681753311214977797113635792608648880788023353544678482337597236653 (c125)=
24068766726031000213054507346039 (p32) *
581181644150603207709212776285438456972965715875969010273242264239642640697787386451555602427 (p93)
n! - Next (n+1) : 103 : 23405850727024589910840515789302685405655755576379167249188062337287234963253410933900207309488305452950507730575328284924154095190801173220114998146241819 (c155)=
16519907385431489878798370459287 (p32) *
1416826994300564197914327824789043335673242651098439831720303964742465871389877284471249227718498848504820406728362591748637 (c124)
Compositorial + NextComposite : 148 : 546994052408319723773228703486903836418269727636736733348031567066541137641623376750596147547988637676441400637741116234875630920720395213107495028095074997 (c156)=
361415009257544929102862351 (p27) *
1513479070866508656169970372583775892228050249005122937293052438744535202017291592872131517392738008994817740774443038935649719547 (c130)
Compositorial - NextComposite : 140 : 1184146454074201807484614384816332762719482811458697101081529739863861835852890836570436080916182190224356295372459879362626902988603057147787351259910073282822009688237486026580549 (c181)=
1288417860386203854260251421 (p28) *
919070194912738446417992279997534726474975237271887507699251943073914836363629390450257822955050314285012136506132159940730378154011078122944143787082569 (p153)
Wol1 (358) : 13431355861336567844961014615816120515080520880094127447741801250972820019181026770082655087022629259855959462450686788792996311 (c128)=
1064940811382264858087327 (p25) *
12612302691173066280925287990866148553986259694313937224976724579598091060865832820700441396356257198793 (p104)
Wol1 (528) : 182443834250047676806236813217203146427049031043236584075846452404567862269409772856707798314204736601386798695618527462629599740320596855425387101318314197893669963609278532451249920450148921796259 (c198)=
3591638554493453037749839219 (p28) *
50796824758937541274898799066870104919944801296851590639188251997430325006684910731842461144706377461869586214494720669719805440770640835208646359855558851137555329478161 (c170)
Wol2 (278) : 2080329806057582684191628423982145463248326615785892605988809296670366157540192518074922780523499590180321522732000858928903437134250194141320138490290594009381228239963448449592645212284207397553287156236499438777805009 (c220)=
3600329359017596537586362491 (p28) *
577816526937199890205199571398958948192209925829433366917823769532550231739973817049784999241530087458599301842852785406008562871279314711574758041212938130028191010152467973718850523921342499 (p192)
Wol3 (185) : 14097336365729337468353984711779021254559113974066990762992085854041119386084624039773002613762254359649039016096130926862566225042254531647659593758450377570298991655204693451674156974652996037261711746071 (c206)=
1872709321602421699767829 (p25) *
7527776042502242572732003173953990491434157393897791228048983792340192540664968948029125408513980204176984850362467924308973646411447451099654798624949883793928622463890114048639099 (c181)
Wol4 (84) : 125404244913512634542430777242680940244259165271627022067230215213709979900941865539764146544039059800547424496513686611813 (c123)=
1856439753202181221344284942833 (p31) *
67550937054220204250203654544601637513035123207225525309775262498643801935195997688270203061 (p92)
Wol4 (101) : 20132296442514673590556522525975875308781391613151466058786837325684149409966782831770725067669658992456924949 (c110)=
952589095606537045013217587 (p27) *
21134292356869718685972710569707229259005460567104045527932140704493322765490802327 (c83)
Wol4 (140) : 334218649670488104356105147086533350332865608455333060174465561979907920105079359125002556290399674346029195841914087606243729995838512603471101068847245300258945108198166396096173559371 (c186)=
1245922711721332956537671 (p25) *
268249905492725709641620361728333812472624274234672293470574991940610090898539997255118849665646723668424747085195528927316947420721111277428456621855655366612701 (c162)
!n (84) : 30547559140428110753646778506351088889473342597061196590601479493135711364100750175846796512191723937527037310880542241 (c119)=
2270025411788339690811391635204641 (p34) *
13456923866047190937729418667126224550689676021117084338618000364425687193246993433601 (c86)
j(tau) : 706 : 109922883024140380119489703617027034594789885076482605369457089272354669850625668900914290245423590200603285574802146046949579 (c126)=
5734382324974887445144378761554606929 (p37) *
19169088629719464146338690282302218071140265682122628110622391864464343956290362873557851 (p89)
j(tau) : 733 : 48967671999467163727709878419052715291584801672005940765287271045308663847543560423430443116839500292237869450622728901397853141372020933629 (c140)=
7361964261730955735323508718023 (p31) *
6651441145131803931003763916115395656282957699509210683625605340340607641892304398522195485563843803000861723 (p109)
j(tau) : 800 : 2324454090864970300838428231912357603476556267982652099539646819270806046231487532922080365046391377478483995095012387 (c118)=
26288693895238594017120089954513 (p32) *
72286792204802735663373022158811 (p32) *
1223187433282330860351424774198597904444797060737152009 (p55)
j(tau) : 828 : 2813239960807391027251598263184365176958559420506912017781144902991239445065932672814506439553489369548736087408360474667 (c121)=
2400008260203247185493666310017 (p31) *
1172179282653447570700569294185881039928804022255553393286759356040575093324085213137921451 (c91)
May 26, 2002
By me (Hisanori Mishima : May 25, 2002),
j(tau) 775 : 21239591896660136618095959110907552565130115824865406256953861397605443842882944293698987049470728001646139024723 (c113) =
14767537347688132740491301431653 (p32) *
1438262277358330709602512219190799347049785445823525678017449331792866982426543191 (p82)
n! - Next (n+1) : 126 : 37179389422514094038694410291558762787840397347934774254089205731434760089128395126815098254991180279071009045769738073480094178230775567514509771830983672824115643468534336807982140327 (c185) =
417433641913554032675074729 (p27) *
89066586133499851536483445884936105571020362964450324843704144642839481300276046163748572769668364850141557343853826505949440523295319279734441595082277555663 (p158)
May 19, 2002
By Sean Irvine (April 17, 2002),
j507 C112 =
301475570204808052096121434962040068608885431936480651 (p54) *
12936464800772874520794363226852409421286155449355662558461 (p59)
by Franke GNFS
April 07, 2002
By Sean Irvine (April 05, 2002),
j632 C121 =
31674942064840995484345769585703907 (p35) *
33508661500603006886203528736557363110535107436401214121260362701754773559962364042553 (p86)
March 29, 2002
By Jens Franke & Sean Irvine (March 28, 2002),
j547 C110 =
12699187587667871993211150772399800227133745170458747 (p53) *
7052486770416602360178137179790441032549925721062836113019 (p58)
by GNFS
March 24, 2002
By Sean Irvine (March 15, 2002),
j626 C125 =
116215982037974926867842704784557008952069 (p42) *
755358976471355428353070227184495289484198637742428784840761600679575586747904812489 (p84)
by ECM
By me (Hisanori Mishima : March 24, 2002),
Wol2 (176) : 228542498958526091306902098572017023923881323669143136612883714777295331014045474079301542017951777543469791459647709 (c117)=
11215517383991316879961921698672827 (p35) *
20377347841726909159973309450923861810747764300549154928859791083870906647723312967 (p83)
March 19, 2002
By me (Hisanori Mishima : March 18, 2002),
Product of Pn + NextPrime (84) : 8962046153572281260658887174580718249907940040236729054101005898481953590856446081719748933847519684694049216520131460212957679724878183999948291 (c145)=
46398549266740279086123296056337 (p32) *
193153585515151345656564283449013410469739887125255697335703696192914814830143923991584439533994388913394888543443 (p114)
Product of Pn + NextPrime (99) : 266867056074005341715975648439322665619604420811878265767180551059200387117873586188841602643936217925990080974577826929882562628571767582151640626755927877124174017570281956293197335736550378502244083855473 (c207)=
5609630772336608881405102962299 (p31) *
47573016283003205459435395137351450929843462389025948468342367975578909533802043795982110507555228163956364901370409313998435742600035907197802954061301481456845353967037306627 (p176)
n! + Next (n+1) : 107 : 1265939932765452238337791893972169371507297091512200064081642619637467897273417804402138178542880081484857478320721505458562487 (c127)=
2331993084066548423361403 (p25) *
542857498770063216741825216605014832231146566204355652885823306644432660392782789501654468266884080629 (p102)
Compositorial - NextComposite : 147 : 3016618656582254350370031252303580004225021710320834648735909581186556128108564324938556971346329738373775412636776380365488417614132435122815173 (c145)=
2052035919479138126941472374427 (31) *
1470061331747035524180641894816189262911745442037942000651434250569412759339084881701664080500368939672713112224799 (p115)
Sum of 1/p : 60 : 12577322375251594527466014851488221904397637933502104566559801157349294266502948062771119528392038922978859814603 (c113)=
4567121006246470847491526513 (p28) *
2753884199268978675924021663361159373611388104889145073147549293941107613100034087931 (p85)
March 17, 2002
By Sean Irvine (March 15, 2002),
j623 C102 =
70124667088132523227194432224893558134436839637 (p47) *
9168706189899476483223842320155174033307225426441193689 (p55)
March 03, 2002
Announcement.
From March 5 to 9 I will visit to Singapore and from March 9 to 16
I will visit to Toronto, Canada, both for business trip.
Next update will be on March 18 ot 19.
By Sean Irvine (March 03, 2002),
j621 C105 =
191896058174181403547769956121914291 (p36) *
1292982840726699281705036431634854550934958753026126286540609472176939 (p70)
February 28, 2002
New data were added;
n!+/-(n+1), Compositorial+/-NextComposite,
numerator of sum of 1/p.
February 27, 2002
By Sean Irvine (February 26, 2002),
j618 C100 =
709535386551557486982685385899240113827 (p39) *
13088154629708712268528202553772672347543092577107915419734799 (p62)
February 26, 2002
Following data range were extended up tp around 250 digits;
Wol1, Wol2, Wol3, Wol4, An, !n, Kn.
February 19, 2002
By me (Hisanori Mishima : February 18, 2002),
Product of Pn + NextPrime (97) : 46974836832412371027604370786475834249139268446629002715134865161000348566833192888959695471889330204161875954155039000917293002208071901852390743730233824776503627230422790854005840470182175635433 (c197)=
66481060338782628580323368736971 (p32) *
706589765461501861682148032104485435343096847465565951549333881652299477301449954159999164930455288518468201868202938598771293396799703852164733463186334669979828123 (p165)
January 23, 2002
By Sean Irvine
(January 17, 2002),
Wolstenholme: W1,264 C115: factored after 1266 curves B1=3e6
GMP-ECM 4c, by P. Zimmermann (Inria), 16 Dec 1999, with contributions from
T. Granlund, P. Leyland, C. Curry, A. Stuebinger, G. Woltman, JC. Meyrignac,
A. Yamasaki, and the invaluable help from P.L. Montgomery.
Input number is
6937029920920694558425447192909670816189588608382115394724944009175126043814746240930921859660290878765990281038847
(115 digits)
Using B1=3000000, B2=964863900, polynomial x^30, sigma=934914517
Step 1 took 1217250ms for 39070093 muls, 3 gcdexts
Step 2 took 613450ms for 19266095 muls, 42966 gcdexts
********** Factor found in step 2: 203144977793425183063021468242771335400037
Found probable prime factor of 42 digits: 203144977793425183063021468242771335400037
Probable prime cofactor 34148173369931139627045949619224015376212925935852855071359204295203882131 has 74 digits
112!+1: new factor found after 8 curves B1=3e6
GMP-ECM 4c, by P. Zimmermann (Inria), 16 Dec 1999, with contributions from
T. Granlund, P. Leyland, C. Curry, A. Stuebinger, G. Woltman, JC. Meyrignac,
A. Yamasaki, and the invaluable help from P.L. Montgomery.
Input number is
15914066296428364579507058516840292231281316448657760626384996011347917960455827557284165388503039285429735290949679715027007173426322115673447050226582867322954327631651
(170 digits)
Using B1=3000000, B2=964863900, polynomial x^30, sigma=1009309925
Step 1 took 285770ms for 39070093 muls, 3 gcdexts
Step 2 took 133880ms for 19266095 muls, 42966 gcdexts
********** Factor found in step 2: 7001254410846736563763702929325048987
Found probable prime factor of 37 digits: 7001254410846736563763702929325048987
Composite cofactor
2273030711721230876587279943921077517285496298408554245535175419004522212899460202247986624906077992999129561978956768027817386318873
has 133 digits
(January 15, 2002),
j516 C109 =
652413650308560716139634863629070139691 (p39) *
2850799783747923238900556902452930893260536030644125220485695607124873 (p70)
index
E-mail : kc2h-msm@asahi-net.or.jpHisanori Mishima