Old log (1999)

Dec. 27, 1999

I factored,

(by GMP-ECM B1=1000000)

Wol2(165) : 174419259355394067168945086870420849701329152406258334052782917506763077772565306480435685533959682484586102913 (c111)
into
56917718582637547401059382101 (p29)*
3064410585996321903035622864218229982198973978207687989043963394538624793197375613 (p82)

j(tau) 692 : 208367236441849296132428977094044819180573653345719819384224332285965216704369728216090470000932362439572193031 (c111)
into
1582389930871388305443316429831 (p31)*
131678818461076729457481591564866351366959126940090295831796456214914092789587201 (p81)

Dec. 20, 1999

I factored,

(by PPMPQS)

Wol2(140) : 230173158038755291866794494694301943497479841618034908687643481204420049321681556757 (c84)
into
5454115402810382644127450366557 (p31)*
42201739611184657976165153464890508038403106008408601 (p53)

(by GMP-ECM B1=250000)

j(tau) 945 : 25734075424039820045414856583461521306112955961280899046872620112777588756699142259296449412653900098141063734148857894280873424885052019 (c137)
into
37141870154323347096343013 (p26)*
692858903364734059234697134620106196856469479732226970427802694176245719586199736089582605170531931767836249463 (p111)

Wol1(323) : 286861937058793391284346028474318353858689826869965381527729148621902601160496960391686389377829782893509770772821135758567 (c123)
into
17945402893458971641612387 (p26)*
15985260334464456768941459634603816359683148365926343841218554575563952583664626202329631021076141 (p98)

Wol2(169) : 42804615499501618957899153686672806911433146322394873373116161277370534251656284209748689943791350405182168082684208991092410105466127761509 (c140)
into
2351653513251168704279833 (p25)*
18201922714509118935113396379234922083886441727716242256515599703509322335690331628774673238224858361283107955548973 (c116)

(by GMP-ECM B1=500000)

j(tau) 571 : 4589493959882186680670189419910587467377400897026776563265795240614396056480003072127372862524519740710441 (c106)
into
547569246096247156337074765499950618969 (p39)*
8381577293834145865305332257186216669801344620683480732189056663889 (p67)

Dec. 13, 1999

I factored,

(by PPMPQS)

j(tau) 810 : 66504369046171852781645046607182578537251277044918338108478836066208683152976590351 (c83)
into
194395317585560590605996809796072923 (p36)*
342108904021830736236570777969417269996542601437 (p48)

Wol3(84) : 116803172558439180368456747468890257605948308189776412594094715853840424847057971821 (c84)
into
8867092785997745940395291890411621 (p34)*
13172657079092041467069565539712759423449153316201 (p50)

(by GMP-ECM B1=250000)

j(tau) 767 : 11031711344536679897688725185737110917212746477058656679121258106455265543656462350254697591008308758526501535363206656279145982641075074595412653 (c146)
into
23084112951345343996991 (p23)*
477891932334083942147434180834138216628083735064088130295216801202630511973717316331734724609126591629510741777186464126483 (p123)

Dec. 06, 1999

I factored,

(by PPMPQS)

j(tau) 330 : 21351261558923450526842482522430369980627429199540637214054637194946131668056534551 (c83)
into
4742665773451309285112294938421431 (p34)*
4501953664634017851725143594584236527907348399521 (p49)

(by GMP-ECM B1=250000)

Wol1(287) : 16550776960177990297096353985578469202868945628913670140506273983460756370493854907339989 (c89)
into
2310737682330142783973491898689 (p31)*
7162551200311159206461995910686390038143269619421443031701 (p58)

Wol1(299) : 11480951687070951503173686661612775483014417866219869333477259792311761096731890134650483267337 (c95)
into
3991587340550870103295554551 (p28)*
2876287227999498279994524378851608106521193533902445825029261151487 (p67)

Wol1(304) : 968144344279872379873072634283475837466695793276914435177301326775751884550347274934336000746295111414161930699440033 (c117)
into
19689971879804258952261497669 (p29)*
49169412236331586479690722443561577255953126201296044097165267994820695885449096407274157 (c89)

Wol1(334) : 100823608611723352104823005528218694452096551007938634518127284193590930503664802846566703 (c90)
into
3993361777433456473292702455409 (p31)*
25247802285652900605627364126191045782051341735084798052767 (p59)

j(tau) 953 : 12942090347232077117076460701665555850852939044500190171130439360371090192810967024902627116952005950707262111847972712100416538670752291 (c137)
into
172043766968237078586786007 (p27)*
75225569489079258355359967744875376225590718428119897168083196981330609271822440524372837823804636927832990613 (p110)

Dec. 01, 1999

I factored,

(by GMP-ECM B1=250000)

Wol1(287) : 178989555249628238795302664051397546719924011337738484680886574949054044485099325804403786282740946482472862600484307 (c117)
into
10814571163655107950951085063 (p29)*
16550776960177990297096353985578469202868945628913670140506273983460756370493854907339989 (c89)

Wol2(155) : 24898778014458869826680943710157407989138324428555656537435947583633045675364357135153786201240967828061471468717946641 (c119)
into
37508852987486285939239249 (p26)*
663810701510003708613807385799682795266582050636890450337585186310716625078705007672401756609 (c93)

Nov. 29, 1999

I factored,

(by ppmpqs)

j(tau) 416 : 36657827592677987214216959767778600394606710451232052168789180808826631172621185333 (c83)
into
217269396206573552935058788184855815187 (p39)*
168720621646247725323173355061540198169783959 (p45)

(by GMP-ECM B1=250000)

Wol1(277) : 119313065907126889151660480347461071037362755068994194423302178165290160593308726964559061093 (c93)
into
2477682455109087302987783 (p25)*
48155107875546456298586240233741529414007829394368670281695686539571 (p68)

Wol2(140) : 1966373461714793070322444866345347975585032091318509682350184551057900434625395269377314735845360239234888823 (c109)
into
8543018128046476684942939 (p25)*
230173158038755291866794494694301943497479841618034908687643481204420049321681556757 (c84)

Wol4(77) : 61916983088907575394210455230759607648712947628231553153875827532368224208909018963544271763255324221274476808725188763469 (c122)
into
29367132523715980836394621 (p26)*
2108376874688236920584828810129004148890420159867496093880835909896153181659390068458015788758289 (p97)

j(tau) 414 : 497871515572867919333255432969257308615936073920639489416774209183762406408538209962463674092629513 (c99)
into
6607687223811973136633053 (p25)*
75347318768161360439166923623512400430062591100934503632877284308793281821 (p74)

j(tau) 662 : 3520407027599260798231675852902921287046530804427921164535273459635498307539352178698213508746158868752422783779462756368281200383 (c130)
into
106071864890047823860114282109 (p30)*
33188885961875479736293776202877282260205226915907104671506208175462855474271227418842515938245894187 (c101)

j(tau) 893 : 77762151921141596797419088702015126580114516196855350357494326045746209807648400751138552712248479877653053942852057934531086713748539288753137169101 (c149)
into
16844664049512832372454257 (p26)*
4616426406164542669964960774760103138075773302525845337376062538591565618854433264514362945676098559792332027298954472017693 (c124)

j(tau) 937 : 8123296074771309262654164616931708498856904041361130864350349938532358586471937013491514474939016925480418785770810690031953730149 (c130)
into
369536712865642798855961 (p24)*
21982378994979046043815035463300792088083574474229217318275773572543846010493205753150814178928111299486509 (c107)

Nov. 22, 1999

I factored,

(by GMP-ECM B1=250000)

Wol4(83) : 174293184669103928714517516138277360941572326619371483035887760929049347127115603114432918714677441703 (c102)
into
37103923518271939247412675661 (p29)*
147754947579865761293098084372070963 (p36)* (by factor.exe)
31792050316179638761747178634775075121 (p38)

Wol4(92) : 290033784502861598628078411024008377903489705031160802252230735875325945643316843112016281383049566660121341825585423055004573062642160624161947 (c144)
into
192437515033114355107171771994237 (p33)*
1507158229791904275026898464014431947359348143148892489843316684671779917468999121136044003143875969455203523831 (c112)

Wol4(94) : 40626318610148052947037514161391710285597811738865016685424103958998292433336039845263803419061445974913083769442987 (c116)
into
65585148425093376925636387 (p26)*
619443876940348804009046350665958412990406339240069124085353226802486859536433081664131801 (p90)

j(tau) 530 : 13664513817595701274331168812123778076530139608600336253594277717474300021986300658918770401684475789496374141431722639 (c119)
into
53882053140834976116761757637 (p29)*
253600466594691290219921334649826038546464399939352522932024651433304551789720067469550147 (p90)

j(tau) 570 : 3983978624946093340983700504438516797286007657802154447611949412488995321126721684341555564414593 (c97)
into
4826059744240881608626601 (p25)*
825513739174141948531185208919745844514769884442151040262536493491520793 (p72)

j(tau) 600 : 617876868202653419538088611936695873083589049508422844399648185851824943222496287327 (c84)
into
16883188847061002908342904837 (p29)*
36597166198861323793072029219511012274520838421850634771 (p56)

j(tau) 749 : 1040136100832658575616801091758404217695819728565297421494519147968396791454974049558222324437686679215053428637186345752160602661 (c130)
into
98695580776821508033676030473 (p29)*
10538831553002348795160113154321814644977253826954691347959990620686175603846423838822477397179280957 (c101)

j(tau) 944 : 53623152442044173370487913285013147385486488879666022998645085486015647150207985462487165572709503616629935814309031784640781180119122143677813723 (c146)
into
215352534449766760599328213 (p27)*
249001724447094151129291225195641957450763953415534875477066061318528191018010997756234124250303131569108260477043436271 (p120)

Nov. 15, 1999

I factored,

(by GMP-ECM B1=250000)

j(tau) 760 : 1022279821253216339488895588079137162181437559368681275910436581046863095531490979171725588948859720250613602597656203413 (c121)
into
1158483105193958988811922264683 (p31)*
882429632913862114710120986321687356741800975964527783658315217064330247493906424959789311 (p90)

j(tau) 792 : 330091222376438635620970566827570095189422197435923842600180929917335059970742238364653817655231080688726249146286765615559 (c123)
into
2016575856339339053428531 (p25)*
163688968772862554742842769572844478104358888462210590490548223156997895704404774692312327396207389 (p99)

Partition numbers (n=5000 ... 6001) released.
There are still some unfactored numbers.

Nov. 04, 1999

I factored,

(by GMP-ECM B1=1000000)

Wol2(194) : 2246994285900943011780958707762413424797527283506830812214278447995493490770454221900574546081105413463313785062891811388060554565247921 (c136)
into
3410003172141583114186913 (p25)*
658941992857374372073950980356870586133223196613390159425576413445771814091772233155460186312368008192105580817 (p111)

Oct. 31, 1999

I factored,

(by GMP-ECM B1=1000000)

Wol2(166) : 683008997695849077444359818235350287528315477292345641185201379042396949182605880967874450884307504568314032099157 (c114)
into
208405562298433985014207 (p24)*
3277306949791432650455590785360562403122717997323118253205158754468236593924147705307087851 (p91)

Oct. 29, 1999

I factored,

(by GMP-ECM B1=250000, PPMPQS)

Wol1(343) : 646928672376132719576161147849030265022608805414308360233645342559510004060627962650790958475507 (c96)
into
494081876809601062934377 (p24)*
5503302847697558685512791 (p25)*
237921704780128051128129327633231082933082139901 (p48)

Sep. 27, 1999

I factored,

(by PPMPQS)

j(tau) 458 : 12631322772034325141527810827844293699479881899796991250641472408562509243390354061 (c83)
into
78291812778105045191078286293009075867399 (p41)*
161336445329654946002893862561180469774539 (p42)

(by GMP-ECM B1=1000000)

j(tau) 637 : 22555868842176225124929434369051383313434366697114422165265221255774764395783855179890609546050131986635741242840921 (c116)
into
4112595403869044174432341 (p25)*
5484582514719569325287920503500215531809281882584321748521783201069737553204543355036059381 (c91)

j(tau) 936 : 388789816253694638805148600387115044824249967882047909971693077400628034035274818175415371455452739477619001749286639945590694849174894655167441834179 (c150)
into
8329577577613665592188948323 (p28)*
46675814305228998238625668261761533684055895732511723378166290375604293488572582829359398234972373580380530208446856554273 (p122)

j(tau) 975 : 979305351955201641291281528886298581689905152305005987434428895530056176939409271105050002458857541993372517071244661168016237911549197372050888813 (c147)
into
28500878631508220634377 (p23)*
34360531989794953838449498408250259898269546562069015359125615341756219565804846275864672095973623684056230379134030983558469 (p125)

Sep. 20, 1999

I factored,

(by GMP-ECM B1=250000)

j(tau) 928 : 196309858149681679823510666188359311123782852876835776992254036079287651432133856778185145089540079427738582764767882393198361683931 (c132)
into
27838261038634196121873904559 (p29)*
7051800321767262803522846821120014624169270699439761263189222105499730049986099104279727311526481993109 (c103)

j(tau) 932 : 35611824918735764129359705951053815256315008317217669241827665877980992042512145900399598768958367886353045308895497402548472619873968899141607 (c143)
into
166935802767132920047549307287 (p30)*
213326466392667577935901578481069240357481805460856742699730301422569442538281425507924713339518185797464799053361 (p114)

j(tau) 967 : 42850829243457223706813576124739832009717189755467110531412575224673390588571408066233922476551076554226589010831991058015181189233935017 (c137)
into
51015721373943827246203 (p23)*
839953412191544446532470624221817224802097665603262289089505558360007323957156042404209572251717839846713199197739 (c114)

Sep. 13, 1999

I factored,

(by GMP-ECM B1=250000)

j(tau) 830 : 2708262652660241526041303682310721200846165638292416434421258362507840933799826541492785181230272057803843069828916947789474476438043777 (c136)
into
47467195412411151686338691 (p26)*
57055459652291097058642354264803864541945261565106840037618814601801147888551672305095849855566582306074898347 (c110)

j(tau) 874 : 8916001573095656367588318940968489710916205434330477174901143229018205748369516229487261066934359301514017319725385375063035711879843044941441 (c142)
into
180442077665182548571 (p21)*
49411986873924450608238418918606479606427970333617822602687392428179806971421993494333067727060731322146163480290209349971 (c122)

j(tau) 922 : 139434860950059255152438552238230438901398717621115717202878205561370887753939483047485501843132713249850839350538010611580263125712238201 (c138)
into
2491899450554416868677 (p22)*
55955251693256210527527521979137459922304663364181882230967981446836321024725559450966778486604147932595546205730213 (c116)

j(tau) 937 : 2353525582764383097013859319335215815728476522975419228394340149985741991067640391395470975864493787290091567402273290985736182539655712073732235677555980161541 (c160)
into
289725446555343069040414379809 (p30)*
8123296074771309262654164616931708498856904041361130864350349938532358586471937013491514474939016925480418785770810690031953730149 (c130)

j(tau) 972 : 380552046499780844904692606500255220544143811839749662164204531201501796878736892472662047196068288294753689647606648005057617118917161259 (c138)
into
6661894171509675489191839 (p25)*
57123700362466519730909795062915358889435686947824288989449156543249945061529181462601096659733870530763739265781 (c113)

j(tau) 985 : 555952836892264588848403880563403541516254432841511413605918715709121167495931493085408791327185761906994270448149201229892813557722053250081261500568527535263 (c159)
into
2867699907591619742969693 (p25)*
193867160026228277679901032155664381732858317489217536029551215102219045779766993997249085365715748723570707361129913547518967556712491 (p135)

j(tau) 988 : 14956685303288302611272602207910259390669199825319329882504498315798971295113228144638921818569430434789798784291414414074679 (c125)
into
1115494947226259413103 (p22)*
13408115689343943056502716171280068435872515267231541647146773220753675428065623037694174024340704228793 (c104)

Sep. 06, 1999

Factorization of Partition Numbers are added. (n=0 to 5000)
At now, I'm not intend to challenge the RSA Factoring Challenge.

I factored,

(by GMP-ECM B1=1000000)

j(tau) 523 : 17278369445857155017188439977827223336730141381566869678841563236718441854095903211 (c83)
into
212398219169819039650441 (p24)*
81348937450565706404297003477274694550627786456150522325971 (p59)

(by GMP-ECM B1=250000)

j(tau) 592 : 3460434619146676739147826596169769659123341978187036264919921661860706953200469504914717915817637671 (c100)
into
1169194705341945805080251 (p25)*
2959673528571640932675699704724222098803464879366753873816553298714755852421 (p76)

j(tau) 921 : 77525762311651242662732633825418444709982931654825920650879353779788685128432432689303601843062218828981 (c104)
into
647212077503027418659 (p21)*
119784171226762383505904032616624582388106034378671009368997551956843107773298565959 (p84)

j(tau) 926 : 506725744755697357451928745242622741507623632831551203336752328573923852750248032972293651516258074710529595780833975171079004913439421694661781417744641290159 (c159)
into
19134094265124691644781767319 (p29)*
26482870719378425971363141698644134960842485899144270094434449633981640967378905477690509677597005731234364811170244046069233352361 (p131)

j(tau) 981 : 154958322484088099432248080411734485510607316572881510531588200679270194635995748192862207459572990710586345554766443380767215115263014399343666693807 (c150)
into
1681898021404818265600793 (p25)*
92133007181171405433612116494125147462672213572524599010695972291093957638466091059745444057424139426790906778350286781352199 (c125)

(by GMP-ECM B1=300000)

j(tau) 968 : 46453403314234465459837570204405698216631711762338082817886634958632813352764348228259954799689128405426432345433050614429543981249794851 (c137)
into
747902771163082072930807841 (p27)*
62111553941689011993342698182461917424850355233232022847485712167772878572898732506441166232248014166293244611 (p110)

(by PPMPQS)

j(tau) 838 : 23798014663178148314396143878690440414637251279161881374095335214476746792239810561 (c83)
into
3145784887604722332677101745027 (p31)*
7565048314952819166036923359204305684699914518547243 (p52)

j(tau) 888 : 49591288743292475697400031933515213955182903890582842514612131508929403608340007219 (c83)
into
44378785443751825564678536053 (p29)*
1117454843511823248494439205514273470982660311947126023 (p55)

Aug. 30, 1999

I factored, (by GMP-ECM B1=300000)

j(tau) 721 : 7099804531866784203646913928621737125849670479304948539451234252097827165294243064279652259055801091 (c100)
into
617864811117851870325681457 (p27)*
11490870501302207390798062305292769603030727315111803060791028143786894963 (p74)

j(tau) 810 : 11274348771787826925827176683760997561958589572118360843424428015726354813253716887023586060460986972876918391 (c110)
into
169527941299020636941814041 (p27)*
66504369046171852781645046607182578537251277044918338108478836066208683152976590351 (c83)

j(tau) 983 : 285611388744014878226455423106382407322419495784778103861237779205140609700061335592233825556800356015928391513631201656615902857222889698969 (c141)
into
198541019640954644837 (p21)*
1438551032227596818595538503272454287165036641166801082642168659388226022263079549285079563668927009089362796863060320037 (c121)

j(tau) 990 : 1281343869481399144886356689212426194214574719919290922395648339868611825988088731776436141019090687810075385834137644753169203471725141 (c136)
into
1028141448965980240080997 (p25)*
1246271970427871562363298599282621016511285075547874758897113922709090482826085346767101774940852356645960155953 (c112)

Aug. 24, 1999

I factored, (by GMP-ECM B1=300000)

j(tau) 909 : 107017924116879061968055818800341396108296326531021003937957932495742950120506814349892812512623867698744028107075743640858992397503 (c132)
into
19527803333081649456593 (p23)*
5480284817062971989670219745812678840582003454393241460245275375335637377479062480428880886500361544622185871 (p109)

j(tau) 970 : 39190045228505294485266002274560595086008525434943687145026880167857049189414956081154784047451461468214892677869059139307159140727833 (c134)
into
5926722742011741606263 (p22)*
6612431006887761365088988591593916810223738782780411547603943861201797585207634241635906748999134478183282033391 (c112)

(by ppmpqs)

Wol4(61) : 91392559126242455447623381847976702662172409062228793834257333195116166027390118891 (c83)
into
33498613232963476060441863491 (p29)*
2728249032002013856331858853828474707039791011489849401 (p55)

Aug. 09, 1999

I factored, (by ppmpqs)

Wol4(58) : 31638814638897724648705649239026858548369116870419823916288327707475658254239359961 (c83)
into
98024042364191038505996226457446593 (p35)*
322765863106821179334231394942647660633177041177 (p48)

Aug. 04, 1999

By Allan MacLeod (Aug. 03, 1999)

Factor of p1*p2*...*p59 + p60
C101  =  21 57291 73692 23217 44048 85837 08923 * p70
Factor of p1*p2*...*p62 + p63
C89  =  60 19827 52804 86921 39443 11588 42787 02937 * P52
Factor of p1*p2*...*p65 + p66
C100  =  990 22241 19242 59386 36283 81865 11613 * P67
Factor of p1*p2*...*p66 + p67
C109  =  9549 68197 59176 25107 73206 23626 26681 42585 30011 * P65
Factor of p1*p2*...*p67 + p68
C89  =  21490 80312 40213 48106 05247 21981 * P60
Factor of p1*p2*...*p74 + p75
C131  =  5205 76786 14658 99446 06601 44009 97811 * P97
Factor of p1*p2*...*p75 + p76
C127  =  284 15929 61688 94238 21424 32473 * P100

July 26, 1999

I factored, (by GMP-ECM B1=300000)

Wol2(156) : 25766603258026628286885896516844224974420653629781602726660351902110195365948597178709561957226487253576321 (c107)
into
101015031512378487133603260883 (p30)*
1082740110351544840410493711291 (p31)*
235584623685879727868250576915238199633176873057 (p48)

Wol4(57) : 71610766653573807937998833448831664654838440535689594338143745624514824879716915173937961667 (c92)
into
120664996526059623496237285351 (p30)*
593467606308746427224068465077750823249158016375763850339115717 (p63)

j(tau) 523 : 90671927876477470930153200836627137582901224904400437033156572154118645904595899804289988630348577054038382743259 (c113)
into
5247713226679380521206284034769 (p31)*
17278369445857155017188439977827223336730141381566869678841563236718441854095903211 (c83)

j(tau) 795 : 14540105566139301244416433006921769409666879706802483440642821358475580313354625458628379236532266035248424226168467905492488815301378330780543 (c143)
into
887839704453148286592553 (p24)*
16376949006910052382971071035269493548988214771062291523743849067625672185582235486018679317152067975944549260772073831 (c119)

by ppmpqs

j(tau) 440 : 5645945810981426273823421360576440723263516355057365273557224588960479996473406573 (c82) into
6760267938423516445028059 (p25)*
835165981941545901215605002016118118814601267646582364247 (p57)

July 19, 1999

I factored, (by PPMPQS)

j(tau) 342 : 1060519988081137201865531135491187727695942608260630998422249964368781376746210051 (c82)
into
39350383472990912877950649559359290683 (p38)*
26950690043695526811194905747377667453588697 (p44)

j(tau) 439 : 44030455934240292824255881222948560141111481414528956083302161311519800495147319 (c80)
into
989000875047716030617105162061 (p30)*
44520138500500283715611725202807860489591065874579 (p50)

j(tau) 666 : 751410956526285879816903585015937036758535138338587209457879132453394006533710463 (c81)
into
689434460975940742562031738865039957003 (p39)*
1089894687687373864371203994197494073337821 (p43)

by GMP-ECM B1=300000),

j(tau) 489 : 4659702627383763007473603728363209366030068317467052753065891055989103287471647174485763219752153 (c97)
into
5083400949591290599612747 (p25)*
204930589593036588750244433921733931 (p36)*
4472980929213385588373323207099121729 (p37)

July 12, 1999

I factored (by GMP-ECM B1=800000),

Wol1(311) : 776917202881322084765952570894002509775188306852483687807785055684035969591025619522853946611466825765186166013370519767386113824613973 (c135)
into
526691805540116978991845719 (p27)*
1475088836980483412669499721872536155786209576931870635905215058007777191702033520692569820152776586977353267 (p109)

j(tau) 900 : 119672011092331847474152118128584465023279382182501328675559169271314670582040168889315103104500347128305823093516260732829990315986669991825009113 (c147)
into
17666140790530786326467 (p23)*
6774089061742174286493371860418156520213254759226285513513551286965098052318225884176407914507944920978774018647700739250739 (p124)

July 05, 1999

I factored (by GMP-ECM B1=1000000),

j(tau) 605 : 11225311726776201744469452038750893188257693705848347619002906152237685969891663204683375621 (c92)
into
3197902314899981631023370907 (p28)*
3510210951245797299651711965778014899839610416444199186110004703 (p64)

j(tau) 619 : 5361817519975176245122106423374889854687453379935703236135377432139055991898051734067632109345279526242417295971923156769 (c121)
into
13895938453871704139135267 (p26)*
385855013518806985804923956897506483963898478430270059310370215776070366931049636974180523369707 (p96)

Jun. 26, 1999

I factored (by GMP-ECM B1=500000),

j(tau) 745 : 17451059766264979927666900494299830481347486468300844559820581797453521551798719646679397754951653495385316388889876487 (c119)
into
17438135848766240746149707 (p26)*
1000741129534190064068018041215077793605680123405826591710435424682210791688758581610727055541 (c94)

j(tau) 771 : 8097498904552340122557575784297146752484667122993820199525936494320970349269152629006823076177878592084725899381054445114090917 (c127)
into
17196460053718019591851 (p23)*
470881732592493221611266582297299104974137244181148249694836801849927839535383316364793053835194174921967 (c105)

Jun. 14, 1999

I factored (by GMP-ECM B1=400000),

Wol1(306) : 10857736635363708431820402720029785485102305300895293072926508285248743557730341435923 (c86)
into
40205080105881386581966273 (p26)*
270058823580739193465032950099406621925316716253720161572051 (p60)

j(tau) 536 : 26229512308513188461017627630099657081464494468632409889905920872824141699153342800986480987448649 (c98)
into
75242106368820673108528839413 (p29)*
348601515485780566441066911281024380744035294418830577850818095805573 (p69)

j(tau) 664 : 3093054032685229917121074523756053647413151186048590390365082385361401296698100685521389469827742547567 (c103)
into
2801368617494993973221 (p22)*
1104122468342300255587442932641470890294246927156258957295920760781166027128178627 (p82)

Jun. 07, 1999

I factored (by GMP-ECM B1=700000),

j(tau) 603 : 4492713823414676913572736763541105214493841080966998064540690240683338518541907913378275088085996805624417611 (c109)
into
7855234829098854709027 (p22)*
571938830749134573947157610149848434794484374042796414177090589116296837662037560510393 (p87)

j(tau) 652 : 8656975574898725087866198218261441110740407912956505111644713481630610261781438742827713613 (c91)
into
6378927863621914553333 (p22)*
1357120782673869206363628615527885272644175997576088825613411786119161 (p70)

j(tau) 663 : 81741686885269673035170470610430645187872426768307128173819296176407076399526366089932043321821914535590465041879990298293397 (c125)
into
546144314705492239375333 (p24)*
149670489437116623123493583871710307128227313408806698719427835615939151206570105190570671876747053809 (c102)

j(tau) 666 : 18472572572693478573692803399102384503967204505083170866574897144517646414493631449642508679553584069137 (c104)
into
24583847776309701049199 (p23)*
751410956526285879816903585015937036758535138338587209457879132453394006533710463 (c81)

j(tau) 685 : 3221205048803900860231306612235621347200846575255417019372113397252945769506990226922250431 (c91)
into
717138737171701936028785457 (p27)*
23606114007462626367051524351 (p29 : by ppmpqs)*
190278924821964264159079667423894033 (p36)

j(tau) 690 : 28109501263109150121233348606945592988845159186728554989048939333580039330059191776881901 (c89)
into
17499333055495894519849 (p23)*
16638371131484160497800201 (p26)*
96543010185715400650695466840456651845949 (p41)

j(tau) 697 : 72648417804636688616904097231513779182634124074468212920747505846838605899758815737749783714648699499409768807368737946367 (c122)
into
1144089409405671344165873 (p25)*
63498898956136569676361041374523823843093020084154132847028511520126400145125804280229008982928879 (c98)

by ppmpqs
j(tau) 639 : 487397033936884294864951003024686530844638939695339041572293342218069384360661 (c78)
into
285220316232132853175910961122273283 (p36)*
1708844027576932686347989833426377664912967 (p43)

Jun. 01, 1999

By Allan MacLeod (May 31, 1999)

Three factors for !n

75: C85 = 3479 50292 06541 56844 39476 34630 87841 * P51
86: C85 = 232 13483 72910 97627 11820 71093 88669 * P53
89: C130 = 942 92978 22437 96671 62304 78769 * C102

May. 31, 1999

I factored (by GMP-ECM B1=300000),

j(tau) 664 : 79658168266693773353440391983390268903559868935047825544427015797725980629049588453799765085229246455904408734326972654151765913 (c128)
into
25753888365648323909752439 (p26)*
3093054032685229917121074523756053647413151186048590390365082385361401296698100685521389469827742547567 (c103)

j(tau) 679 : 23089071760801975583890219772614157920098054061297284494623463393800699293149464926840904192537328987286631 (c107)
into
53182538599871012011 (p20)*
434147604997140460128166339004295383117038914444139300560435375211965839200510011930421 (c87)

j(tau) 685 : 17165308544176534091347960481552642107283635909210501614178846739478910472890036596371130830429353053584395115047 (c113)
into
5328846901736467626137 (p22)*
3221205048803900860231306612235621347200846575255417019372113397252945769506990226922250431 (c91)

by ppmpqs

j(tau) 616 : 193889789908863905648007716021926598141559807239568787963173107544067128521581 (c78)
into
1855664103358023095606347 (p25)*
104485391272051632945311870298871317399961746502134823 (p54)

j(tau) 624 : 492175835079138722034899150639337623563844614488223407484485065229840680693753 (c78)
into
2764208589984006856871321 (p25)*
178053073441171221569405873060657223316520093541232993 (p54)

May. 27, 1999

By Allan MacLeod (May 26, 1999)

Factors of Kn.
81:   C100  =  1 98679 99846 35530 06428 08629 * P74
87:   C98    =  475 52672 94621 87899 83643 * P76
90:   C113  =  4160 60481 13840 27692 64931 * C90
92:   C128  =  10 13088 59418 15254 40508 99804 00961 * P97

I factored (by GMP-ECM B1=700000),

j(tau) 624 : 21909930133412407343538103303259201226625366664741529892188569346788261458861332547075167223872962689 (c101)
into
44516468651674926106313 (p23)*
492175835079138722034899150639337623563844614488223407484485065229840680693753 (c78)

j(tau) 658 : 34296966779008696624892984751226110360745118557786525524353590229131860753398393894462164432346985371454558330719021666085027419 (c128)
into
11560998419191204516082791 (p26)*
2966609416888760107954316171999379653999532185953436801311413281821438576684436524008507360806943395309 (c103)

j(tau) 666 : 7758706339008062530686846038013652343574213037583991097728992950636769486335205977388723341628305184921634267440836010706163 (c124)
into
420012226693164296899 (p21)*
18472572572693478573692803399102384503967204505083170866574897144517646414493631449642508679553584069137 (c104)

Wol1(335) : 472846767054730231949332894758820335798298418467189982409140374057155959175208466586074040833855425637206675428839466137071202929319 (c132)
into
142200231655439684948689987 (p27)*
3325217979957081833295642411465095088793768203856018341932091007122223938781500898857838077260557978815437 (c106)

May. 22, 1999

By Allan MacLeod (May 20, 1999)

WOLSTENHOLME NUMBERS 3
  88 :  C99  =  83 60488 12765 17203 39552 46041 * P72
  90 :  C85  =  39821 53205 56664 31473 22404 64779 * P56
WOLSTENHOLME NUMBERS 4
  75  :  C127  =  7579 35045 97165 47128 49749 * P103
Kn
  84 :   C82  =  180 78221 01847 57704 15457 * P60
  88 :   C133  =  952 39975 94586 97388 34873 67913 * C105

I factored (by GMP-ECM B1=700000),

Wol1(302) : 8099462163258710826419985792568853535844748643662158417987644848723834149004158955082199162022791528243717982366545002451804351249 (c130)
into
13863427810533006357296111 (p26)*
584232289008998799860344971544752127949585726562575417836294025009027509683574242234505990298111495573759 (c105)

Wol1(306) : 795734984386302726693864933357781757829929824873230357988243041606915244979691174690949122199829307173627906399 (c111)
into
73287372047189786302487813 (p26)*
10857736635363708431820402720029785485102305300895293072926508285248743557730341435923 (c86)

Wol4(68) : 6561173915881066391191362420325575008057110995043541824345581271752992529823385153 (c82)
into
10116229692730308424284972767623 (p32)*
648578978055039173749083833049070504194538963973111 (p51)

And new results are added for j(tau) 601 to 700.

May. 17, 1999

I factored (by GMP-ECM B1=700000),

Wol2(127) : 72982662108537969570501591670411840874029352472467701237113856341937073738178508134415921210710368455936946569 (c110)
into
249632779749891934626076353083 (p30)*
292360090616543172844328428805663201078134060577060046956154164815045612237708043 (p81)

Wol2(158) : 416998135860395043040475808667621468562782561741853817606795486685270856255840279324010028566414742499060571838659647604437551 (c126)
into
1435798874654817787483424317 (p28)*
290429351367646174764772594665985554068648106361400384347968142266757052369207578241837063449283803 (p99)

Wol2(194) : 89398227777237232286577579403201871193897414787531393628878712607495654661849672351678246878268210177891409306224486502670964312589817240659369379902480072093 (c158)
into
39785694310919259426733 (p23)*
2246994285900943011780958707762413424797527283506830812214278447995493490770454221900574546081105413463313785062891811388060554565247921 (c136)

Wol2(195) : 146931258982901366399912380598467432272240954762054346666325916581013124277329161093449889066239682698654158295530344091 (c120)
into
21550415707234381953073165168859 (p32)*
6818024347139492724836532288038044388801115411906988545034565912274147487757484630730049 (c88)

Wol3(87) : 39553852301481476261749268103441147829711537396668415832097112426429512975040279499446421627 (c92)
into
816310067703079393991257904431931211269 (p39)*
48454446253220289581278886465055170032603539766342783 (p53)

May. 04, 1999

By Allan MacLeod

Wol4(80) = 92 13144 52158 98212 17098 06860 84827 90483 
              66582 63121 07865 06682 88471 19410 10746 64357 37558 
              45390 81759 14818 79285 25466 26162 19108 23090 27299 25956 28901
into
P20 * P35 * P83
   P20 =  92337 61318 14712 79339
   
   P35 =  24052 24553 08357 00212 09247 01069 98291
   P83 =  414 83329 95191 78153 45412 70306 64392 66932 96718 
              89464 37960 17628 80718 55048 97327 06621 28949

I factored,

j(tau) 458 : 30971992899010237954503867511018117248551461687826297076636188814964669810971574658366823642240608280303493 (c107)
into
2451999165723327835178713 (p25)*
12631322772034325141527810827844293699479881899796991250641472408562509243390354061 (c83)

j(tau) 552 : 119643471562244370960148615781957278931090442243606379584419676271965572060976568826440391 (c90)
into
303251534004252956591147401 (p27)*
22936253494706436933326214551 (p29)*
17201389095375723527098542282850441 (p35)

May. 03, 1999

I factored,

!n (96) : 5219942225764217077951882014190635735597793991876008991912116675504716371801766853976596821338575187551031812342389220828456838221168264460210470157 (c148)
into
45577446182379471744434582171 (p29)*
114529063451174227409361564351954691373975356822490693916491511112548571893329152513882811349830042335640040189860795767 (p120)

Apr. 26, 1999

I factored,

PI Pn + NextPrime (68) : 30710697664609790052859542662131922375831716962758223222752048182910553996014797707223022188595415105369857993067134641 (c119)
into
10086788004968394265877 (p23)*
3044645892179233752164740142088939325185903440714686451313678368121119692213732644545273063449133 (p97)

Apr. 19, 1999

I factored,

Wol4(56) : 633723543235979403793066693179665783504973551366270685762836135065458253721848239118035059 (c90)
into
69991586376494774025415313 (p26)*
9054281750767722881366499335777405266729029298316518040782978243 (p64)

j(tau) 513 : 124228125023201145605145751007620038807166298915754234108132070044293345455645926076409 (c87)
into
69101974207265883085268991372341 (p32)*
1797750736478074441720361702928321890355515955805373749 (p55)

j(tau) 531 : 5656131585927181598831689797927059105381142921405419783118913654455495445239949 (c79)
into
442413746898020394072254343131833 (p33)*
12784710297962240574134489654193465889575041653 (p47)

Apr. 12, 1999

I factored,

An(100) : 11367161808574030052074027513950050203951509350378401805920132603160656882140309095555941785480166911342395920928080465380273450454544538267696887 (c146)
into
119312523926604107401 (p21)*
95272159489029125204036484101270340675434192592025887601679988543375438216674078672927182017753700455328316001278918078153087 (c125)

Kn(98) : 324636285499183975621203740042481641920393410609108076646217904745497503445283715815227050690023899294623871043060900502902064119974236960778543 (c144)
into
103842747547013302033 (p21)*
3126229738405270841904584257969996693636719970252651409336865135615564742094306251086833791046203277378598879095974949137471 (c124)

Wol2(183) : 14589944994649194464860019125139632384145860372658019275247061248138904657771686409318249655697781248538660856052778893642960154678489669 (c137)
into
6690217448629029498331 (p22)*
2180787860286811797382025987394633358730047846016496132191438682421152019290115236051308213624635418209817305147999 (p115)

Wol3(99) : 27981998810866216601802579387742532626725020823574366240909946081048829491293417226645692283715637 (c98)
into
8997130644290217297695249 (p25)*
149148779757352241143148951221107439 (p36)*
20852349838468268209017552127720757867 (p38)

Wol4(87) : 10716447761148452449245306545736832524973547484445195128929483084339544026275759703524139336472202979874111689 (c110)
into
82808087483981287622119 (p23)*
129413057187457481013233802910698950573234750411038144622290732944796885758329068654031 (p87)

j(tau) 495 : 380072091804254997083457141037071157966106573062360193402496775586896488226973084584159 (c87)
into
182262658297587966542809581737 (p30)*
2085298740588405032683501779070616542376019834259801576007 (p58)

Apr. 05, 1999

I factored,

PI Pn + NextPrm (70) : 918349157538440245543918252072866405336756956138159721098231259346628732497315883487621257 (c90)
into
46182056032635640347544339 (p26)*
90356504015009280796243854723643 (p32)*
220077249053288322146100379737641 (p33)

PI Pn + NextPrm (72) : 33145029365917644537041586451002838777754047982048976093256545773949681076083753038263261851007891975336318712022358509317861766127318306017799357 (c146)
into
1066136198022965401502181199 (p28)*
31088925999681397994505860628958907020135476130444988193238138009482496882430657191462885026233415236995047273530632243 (p119)

j(tau) 438 : 3365221268837942269106896557725486588993310905160061410769948538088070618339121 (c79)
into
1249863215887294012479147803760830801 (p37)*
269247164494630582417465375445124819005232 (p42)

Wol1 (327) : 227987428445131936384246773696607611970655332781275172833076926261748679921733 (c78)
into
354814510897808040438836821 (p27)*
642553845580446885915761465935048693350675153037873 (p51)

Apr. 02, 1999

I factored,

Wol1(327) : 1318984413030558172962569106510478299393618857254458188312701708579924909928046370119076924793632043186581 (c106)
into
5785338349688822800911376657 (p28)*
227987428445131936384246773696607611970655332781275172833076926261748679921733 (c78)

j(tau) 435 : 539506850630392311016945153303497179818873733303351530340187085058014987 (c72)
into
26148440617139990066817851841604633 (p35)*
20632467477879045046845200586354387139 (p38)

j(tau) 572 : 12178500109456671249853074526347624245134820874956629266794794272180012553085608464103 (c86)
into
6871915235148307990908852521147 (p31)*
1772213377599067233599188195285752186558814926120375749 (p55)

Apr. 01, 1999

I factored,

Wol1(266) : 1116463580779073556266906103014198416927690007008411219048310101850418705047928032930687859694560250259716947707 (c112)
into
21118430944935727119467 (p23)*
52866786537794626717340784417186794514671002793299513669273839642510948060215054889036721 (p89)

Wol1(274) : 29926559841189274213411064398458751137591392803899300896964723047368793552712858054089016823104469852847698650336577309 (c119)
into
10165058604278845659948613 (p26)*
2944061712402925894856614329912978538334096101329563254255826452742711810104858095232052115193 (c94)

Wol1(313) : 170249845258360649562775503768921729342819139038075293255571110514304608001601397830275577654078816558042828893339109657 (c120)
into
8058348022285497257776183 (p25)*
21127139804278970502373744968668895869635680750331751706670365244025495637287512907265335346479 (p95)

Mar. 31, 1999

I factored,

j(tau) 435 : 22157289545124542112328936396572131418341985265212720139003811257767552911324343825909245130857 (c95)
into
41069523990723435618011 (p23)*
539506850630392311016945153303497179818873733303351530340187085058014987 (c72)

Mar. 29, 1999

I factored,

j(tau) 557 : 483621340388554637164052171318068490971090748587693172341086409117701623216531 (c78)
into
741940678456496318775690144245008243 (p36)*
651832895043120037852901051513123040574817 (p42)

j(tau) 421 : 334838776738368796118098066550690875361592839473871712119241325540070524742890562225324211460345571598410513 (c108)
into
2304400787111314120109 (p22)*
145304054143336136251224995254292120340902145071378266595493131461982780423884174032757 (c87)

Mar. 27, 1999

Errata.

Unfactored part's digit of Wol4(62) is wrong.
false : c98
true : c92

And I factored,

Wol4(79) : 248991327433179582933528294878327277234329722717644848072004469248287636609019591659236600938542152861933644377448957027103 (c123)
into
267293686148761812690587 (p24)*
931527156592108631209410331934668750473940790646279870940175802723819160338514433638086602321361869 (c99)

Wol4(82) : 510578076660501399290415084338142678972463416415463404736088248561217947190177062980072865875719088062623433897832775593997 (c123)
into
88130331323755617353087 (p23)*
5793443290084109525347575423241440888160231898301492737620325231688410132217478155094935241247010931 (c100)

j(tau) 537 : 77052927545410683681204860221539769588439037047435129510475006595633585690595418487699472522849820132452294006789 (c113)
into
655237456817261455634942141 (p27)*
117595425511365264582457071572582161531642717235252527049262401932220581435068224746729 (c87)

j(tau) 596 : 314046679276315215265563537379680098703061527605024014082705229571311325946311876007623040648070668917947713295570590829541 (c123)
into
30671044672949357841933030083047 (p32)*
10239190827213391343030278739249191483462544818941966090615789685081703085009674243709893203 (p92)

j(tau) 425 : 268468842991561770481486320015056706909018539113253930968868144028507899261 (c75)
into
281101061715105514440032014609711 (p33)*
955061647058642443329915168138474748364051 (p42)

Mar. 25, 1999

I factored,

j(tau) 557 : 10708840729195952123813778735060132305040550013887325843658504387480980831093662346086246949741067887 (c101)
into
22143027684825024545077 (p23)*
483621340388554637164052171318068490971090748587693172341086409117701623216531 (c78)

Mar. 24, 1999

I factored,

j(tau) 487 : 17059553155334449448433518730648483613513025061688606516180359679160589792676567993 (c83)
into
257562827640291413077 (p21)*
66234531246720039464306835476045826373250239673569107557053909 (p62)

Wol3(68) : 6034236349514981708318846145826775875899008765189955699603305278490493185526064600369 (c85)
into
646241415794309127483829 (p24)*
9337433661843187384457632713627449515311853480087420515349261 (p61)

Wol3(92) : 35202311536088622463512954870276191846520906070235933494535406581611486173547294489327539113 (c92)
into
22677409084363201169 (p20)
1552307470625546112564643073002708985056935520363630045718044288199213977 (p73)

Mar. 22, 1999

I factored,

Kn(84) : 4010682957780058444928531142739649853502973180243267412788227577458402153866132451041201602163875573581689540133 (c112)
into
1577917279729368916259341609927 (p31) *
2541757422460027188988481567031441701117720070627822866680995319326199198129241779 (c82)

Mar. 21, 1999

I factored,

!n(80) : 4726059544484698399424775480384570564119009972835440717206829026505837067679746272634379632967739343093275265337 (c112)
into
208882035671039282012161549 (p27) *
22625495434789795051996656947478076908137143734526364458845780766757468731417201774813 (p86)

Mar. 18, 1999

I factored,

Wol2(199) : 168609850901196727952008421389447852290966487818131637456514318714878957013098483614008011156551254661705323822804875737942633736407154437809 (c141)
into
1800020767934082434009393 (p25) *
93671058637125289068404318226235573417622841782310261628990039333492809543364939919486918656340325862122235216534913 (c116)

Mar. 15, 1999

I factored,

An(97) : 87362564019844699674019770051355234624323840319081004403288185825554186554549790501287254994817247662890270447115775145072447558771007386066259541 (c146)
into
10615644447743794141612312007153 (p32) *
8229605319761098762937867932186950698778264180505861112745893482398697188365380530635440227880012788693712875576997 (c115)

Mar. 12, 1999

I factored,

Wol2(191) : 88360740234374583943836482685278745152571308643732162538249086659705530434757849625053106319723029649386719957428436836794797086927880313821 (c140)
into
1041204740809255391 (p19) *
84863943440843325600702635925900436874332807564747686884628895843808395876855508063328269415514434002846784199533097953731 (c122)

Feb. 20, 1999

I factored,

j(tau) 528 : 7299372690408230089071073019930688714280361780963476579039749680122214369668070344021 (c85)
into
19406489653360824496079429053 (p29) *
376130501743993741036376068385299931113220572403074696057 (p57)

Feb. 18, 1999

I factored,

j(tau) 448 : 3012942711849779594659835521998820260003865359032956162973900201360171075560363 (c79)
into
100543517070823302503 *
47729923565481673035439101241 *
627835779833948362755216658181

Feb. 17, 1999

I factored,

j(tau) 347 : 134425317861632448363445278676954257984841540129715707517004932640192475930017449038548798100004057 (c99)
into
125733528514359242985588653(p27) *
1069128652078515161255456283405334714432680600483791082456637866483679069(p73)

j(tau) 425 : 6112288673639350148412762001435867204639798763346468714658388003739190700556822966560541431777124253 (c100)
into
22767217996434190165466273 (p26) *
268468842991561770481486320015056706909018539113253930968868144028507899261 (c75)

Wol1(341) : 114937839861891180687081676802370330504363818253952997898811077723515684033820456662347208287294749339469776405921121826552975405172254825491 (c141)
into
1017715135905410311 (p19) *
112937143024444386294665849108270151079325226005609280195019494917560543589094845808710300584390257278087459924036544127381 (c123)

Feb. 15, 1999

I factored "j(tau)".

401 : 152383875766234913971074007977913248384084650277926579384566019355694679656990039094926171361014716088739688 (108)
    = 2^3 * 3 * 607 * 661 * 751 * 1223 * 89603 * 7993296024845164897 * 5318663446649381987204561 * 4522934219373328263748721022350601054780828647
512 : 20239956087661270053491786383682373870540509411150570075454539372946617069580810700052372489724414564697794801908957839360 (122)
    = 2^35 * 5 * 41339327 * 3180495377 * 14624359780494811 * 185546405792420329492447 * 427019450925901425356983693 * 773311513012731635778092221
534 : 8273776536915362537701179868248039948619218234263764318983145871436435704165876984673646903581194383672354229565554720391168 (124)
    = 2^14 * 3^8 * 7 * 263 * 2424973 * 2506099 * 101254381 * 1348879036446631 * 68863152597163141035021547 * 731444134354293298045088393579266151817544632348103
546 : 208744505172370572430438383476036526549624148664349778227743485711257965129062685728571414309741393192030192019966970779795456 (126)
    = 2^17 * 3^6 * 7^3 * 13 * 631 * 6618047 * 128273623 * 20565109890190435949 * 64368017040796134747306761 * 690943273135411264975831947994817754141593824675817

Feb. 10, 1999

I factored "Wolstenholme Numbers (W1n)".

300 : 1155845629830378705676923007631804514744715994535227312944748381171476491727290835689583634441323657793325314382370025238980637607 (130)
    = 1637 * 934693 * 6161095437592504853 * 17774411728548259757656039 * 6898092177510116275480339042521197268520246393688464736703007556043708085381

Feb. 04, 1999

I found new factors of "PI Pn + NextPrime".

c 67 : 331 : 6408618978071972467109041692977377947361419109761187605191204559105169094422546906281089567965658301640092918433248067534136392245007 (133) 
   = 1185700661 * 412057572907 * 161047556709783553676311 * 81447423233923523114264102775739378399500761086769788454615630777762777579101154555239631 (c89)
c 75 : 379 : 1719620105458406433483340568317543019584575635895742560438771105058321655238562613083979651479555788009994557822024565226932906295208262756822275663694493 (154)
   = 335760330837571324286532829 * 5121570202080531958317719852255390273259076402769848174909960001252127798258176050291761754305929628712449760801785773199591617 (c127)

index

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

Hisanori Mishima