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#78 |
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"William"
May 2003
New Haven
236610 Posts |
A grab bag of factors. Only the first went through the entire RSALS factorization chain. It had
ECM to 3t50 by yoyo@home and Bhargava & Pelissier SNFS Sieving by RSALS Post Processing by Pace Neilsen aka Zetaflux Code:
53^131-1 P82: 1545860894017070328575179165957472532470431560196710847511587628535769602357396403 P103: 2540727896302721201097382311515023968441233983872255483899737024971313117739626840530881761614543123089 yoyo@home user Polybius during ECM Prep 239^101-1 P50: 97144755233983899718935962837243126822860203206291 P146: 32040664100481203034398204672561323081458561805240735529875251875902998330422878752018692422823754006156755556678462122845018164468020994439673407 ECM Prep for RSALS 1031^67-1 P43: 5554720849217153357185201239299740207650793 C109 ECM Prep for RSALS 1019^67-1 P45: 231436797701440532083223117765731598771826179 P129: 788015698789295736956923410049739311432217781090621156221564404362419032941098738865665105505197698670648528120267718808501136293 Douglas Staple from composites page 111718923317519780739416742825495315326353^5-1 P45: 866832698894767304950546515821931974814597971 P81: 236797495298263288278574874670959868993209789910462197085345607469881526324487691 Douglas Staple from composites page 4591^53-1 P46: 5012609275736432262428285212385462022324113941 P84: 112900535993345788827312948481706984604480360271910320723988793632619339727893470567 ECM Prep by Rich Dickerson 1291^73-1 P46: 1631359940508519412206374439045013735417692127 C179 I don't know who factored this. 313^97-1 P52: 4909116663909288666286065358026197781432683981239933 P112: 1022488482320599981931178500845541019896040857837477633805042069206191854119143659911497200328929011630518264741 |
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#79 |
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Dec 2009
89 Posts |
From Pascal's t450.txt, by GNFS:
Code:
C135 of 1806113^29-1 P58: 1088008290078507449754988599597867876686981906305271311427 P78: 131939207365160651677991160401497822756103103767688884714463441446786686045319 |
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#80 |
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Dec 2009
89 Posts |
From Pascal's t1200.txt, by YAFU's SIQS:
Code:
C96 of 9441757817707035091606892469344855301634818063912702210908369560049247929053003^3-1 P42: 459440004631191625370729423555440154539123 P55: 1055971004632971264135219159563466836783240731189834507 Code:
C100 of 54873597135126088641685524240607915483^5-1 P47: 16959763301609039221592948524452896167564404331 P54: 191987309707766343435529743629469983946781129410828641 C101 of 14238168588501835033431116549356880904201514672385712947120529769^3-1 P50: 51442898886134945266219152273436641052399549311091 P51: 335166036063612671396358267451243363294779594033403 C102 of 311401525312938168262408368062401118727925898645348435811981121^3-1 P49: 1479900806225511140469482444204967231754519528741 P54: 151554330035969232345510846868580492637561134165571727 C104 of 3731688803023436004469264347026632352646287273563769381808143880555379^3-1 P40: 8057476601961756479079270346163105865103 P64: 1980697217873157948307032160697947943976588103818493343825247391 |
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#81 |
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Dec 2009
89 Posts |
From Pascal's t500.txt, by SNFS:
Code:
C129 of 44322667326129398950847171430005295122621^5-1 P64: 6115143745568611128744598658793343733464614472485294144234229841 P65: 28918466831268181361166343503546437481785272605047512382759149471 C139 of 15730951653013960377604884173203168952813^5-1 P47: 23024233065722543960949666685763043569121828091 P93: 288119542178997177640532411886795472344911028252171751859100998455212551627575182133836753391 C142 of 306369066800970422402344104226042618159543^5-1 P45: 595849641808203089991998876404785235314147881 P97: 3683408074882490528040959809248056207247072444659572383512115435721333446734214783742546978316561 C153 of 1340787806789879901977522152758742973024257^5-1 P46: 8714355825744790787076735034464645403089313261 P52: 4140500803163688086321866179559024079698996966678561 P55: 3806059624932442342578490209313377106623884088051725591 C142 of 350629641953301517546168193^7-1 P65: 44971574523043458262386272557228011364148790302146100701452624253 P78: 199035044939956818814509733848830266666712615507458380960723387791071163876191 C144 of 553023942130734460940886929^7-1 P72: 174726728380791571618095257460575953609532347777966929670708941162649571 P73: 3614772012766959601359008523014949498629091735114862080130610090116193717 C146 of 2769103359843016524713233861^7-1 P48: 274275215252631735055854397666172980973994787261 P99: 267415672822800389869096053181434665454865110215112119657140417480684689781118812793380263799308029 C148 of 6254253097413611662545235943^7-1 P72: 471356645543711888620821615371655341543812348891499380779102616795663453 P77: 15662478944332510779463910622740289735688699665083201404049786230876448064347 C149 of 1466769965495118685807863491^7-1 P63: 257172169910836880141963291840021729454694704260982536576712677 P87: 383713548542246431519230730242088465859950985550868471692032117137028003843682726606103 C165 of 7222605228105536202757606969^7-1 P76: 1293469147526913950077062569750020562338945480889016494263020940968458755981 P90: 459207838178203448316440089207846065387660851003237007328720688575282664871577831337443349 |
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#82 |
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Dec 2009
89 Posts |
From Pascal's t1200.txt, by GNFS:
Code:
C105 of 4010350343405246409373637916261249867709^5-1 P43: 1216595815534446673987118010520899928881481 P63: 217847345021486483523039540185460200465209596640718505826225931 C105 of 4938013852518757392773433179089953515276081^5-1 P44: 49432159793941476987264807954734178106027451 P61: 5769124106181341721119493232118055678119181965336394951268121 C105 of 15361555940142830434697303200474268309895711257953585921^3-1 P50: 39855874590272563878789881851077953308368062708497 P55: 7368346296788927898078497026739555071661791324850848519 C105 of 14161012005468667472403822893212392868453869903587894490114271864548151423809941665461995738859636848155266790278491951^3-1 P51: 248252069229061405453400018477210509334229918088129 P55: 1442977066630475135794455759406178741185224197937555787 C105 of 41046835540895957171883582053218321058754209^5-1 P41: 52803882686257778959985088280191109948141 P65: 10348420476455468152287910035877535984490376699978751106336797831 C105 of 4071026550525505332925076775771507555554130259322977172145820321929042268496609798919538029136103487976343890178504689232022949669767405077104609088962328928737450350183258147644175153+1 P51: 300396531151143154170356586738521771687722327913921 P55: 2017766319684606946884992075962095266870251284157347433 |
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#83 |
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Dec 2009
89 Posts |
From Pascal's t1200.txt, by GNFS:
Code:
C105 of 26031855298751529713800099893462728089957246964490671^3-1 P45: 935473912659883710156617432861453693331268321 P60: 724400200929513683862710718888400185649966314905458462691953 C105 of 15194813938078770915091^11-1 P50: 28099295563781808933918633696372248465065159164677 P56: 26547868785797810744467546095049540142500790960460226993 C105 of 1613028518982461818379529503375134261^5-1 P45: 846139245719848894214927279124740774472999721 P61: 1025215275320542813260792921100438881882092237780265941356121 C105 of 486760081884637503726246552777510457367338708853647497892451^3-1 P46: 1440875115082651162024401249171461732313447997 P60: 669516402133418985863093296248679567295057819248187609775259 |
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#84 |
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Dec 2009
89 Posts |
From Pascal's t450.txt, by SNFS:
Code:
C131 of 306517^31-1 P55: 4217857345720158240850022001033013500659247950807574527 P76: 3071184997135617143609018784913642155010983788186722621145907267526210167263 C131 of 24061^41-1 P44: 25481147595061044796705414885502137784623669 P88: 2773129367301784572639496544332564257683466195818027909034481404860812445961056619465659 C134 of 4440731591^17-1 P53: 30212601041408630136614289147431963431453780651387589 P81: 508067440518704126526294744619011631363966919940215147250008307654125234344703807 C134 of 567661^29-1 P54: 774468214846542835235777470127133107632194856945971811 P80: 33694271174893123512460322111646435144335623604395622075794629944643325338040961 C140 of 548557^31-1 P60: 261876107469591561150660847586760940905301359740810066574761 P80: 74772070222919762728452669769087615182647546651611820560286331474606204372333301 C151 of 17971^41-1 P72: 129255576574227699908798542100384715478585308400566732318764077022513587 P79: 9160497482210258417978084964313914731297720414136786891574391080313064171262631 |
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#85 |
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Dec 2009
8910 Posts |
From Pascal's t500.txt, by GNFS:
Code:
C121 of 20267747136615386578739143471095264354508796953272082700055339846745091^3-1 P55: 4436956647334919397832479463143054480135327740234012497 P66: 375406611340718897429238080072574405538436462537002261243037589193 C122 of 684842713^19-1 P56: 10757619415697563570829369554697532852053691387980864203 P67: 1049576472378359728951240273539414516823712171422673021542525713919 C122 of 148467031893746524227485026611653806025492334017387237830406481156482009^3-1 P48: 260680454833894169677909743381083537842906807801 P75: 160606979058053384750493277838181464685184655546952939676890820777318516129 C122 of 505721798544031140740638061509529267073352657243267449823387256782461164389882661^3-1 P60: 110623646573772462922969254711813942250430138829837648603541 P63: 901389016177409639081446267385849460409045452572928961301344753 C124 of 117967608271^17-1 P55: 1313667988508577474175634408369997777563013407119014947 P69: 795415813686193915875502968079594524942543217023162056472285175900651 C124 of 23269^43-1 P41: 75585036799807116917051447197385411609791 P83: 66136678657359129288406086286867273303581165254185127493614074594304535455029001161 C126 of 3999088279399464409^11-1 P59: 61806003614229816314962142155745635340217052461269219654081 P67: 5291083257513293598055288797858530281541199288430983506969637016513 C128 of 2497762202176253674947625510903079079623877650935096127514037260376104749^3-1 P45: 109852267638957499232013866878633571123389921 P84: 177085360286579489137294786434020776983965534793603205269797080392606652646641481017 |
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#86 |
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Dec 2009
89 Posts |
From Pascal's t450.txt, by GNFS:
Code:
C132 of 826632619^19-1 P53: 21872897490291843922943874833695579034059925948011073 P79: 7368900127417580445027260940251714207251260766606608233436381155675568078248657 Code:
C155 of 313^73-1 P51: 634208935878378784825212028350520213375607523700849 P104: 18862569005754855451425171859609412814460919237840669740122726129242689971681647796643039277389470146009 C174 of 1437263292796553^13-1 P63: 481854343942067471675782505821118158810224719201718921308304623 P111: 429140498212767340319988654603240224162166548801965555131030904805068719899227947015449214470831869321925816923 |
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#87 |
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Dec 2009
8910 Posts |
Brent composites from William's "Small Composites" page, by GNFS and SNFS, respectively:
Code:
C128 of 367^83-1 P59: 38830687837215842276943279025141125954941572337560262036557 P69: 586842358646759784534235426301025840910305848410004678925642813012377 C136 of 997^59-1 P59: 34898527441183602282870595844238418985493607596790218683201 P77: 90884257535809197446918274165080315918575504055345443277777850912306594644911 |
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#88 |
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Dec 2009
5916 Posts |
From Pascal's t500.txt, by SNFS:
Code:
C132 of 95124481208472781904103458681^7-1 P65: 56969088942406975544588101795078667446649892217969602093405496049 P67: 4902590097676807635337749358283219759328297880159589284646428918231 C132 of 204120268280977^13-1 P62: 14747011623838491387192245673406199446808281439614465444676653 P71: 56211957134923877618798267985528891692697230261006845890418923177577777 C141 of 64852170705457741955185923109^7-1 P64: 7118068304357309009661988573028763313341545748398610933472044731 P77: 43472334623998440714922921348011605092676745028064231103907019667545307706589 C142 of 155062027558931^13-1 P43: 3251812624204746649806305305693893765991159 P99: 355612376961067997590825760830914879567291436081243474394647645943687775764002868951940135647052437 C143 of 137476732909837^13-1 P56: 86630819004207045926141464641854579167783666238212329901 P87: 211595835619610697898696325143721371481786025085329527629421001718774125506427921993029 C144 of 249541^31-1 P66: 505952670774790605696692392791815039192534490516757858533987225749 P78: 523293050911420061759939692794146552823068548629558794572708938608565265145503 C170 of 292938126094387^13-1 P52: 4023721238250617860297342109207016164075528639474081 P118: 8278895452615624090679329519911988916552117169770511819762834822271201192760287061547497888961985014454894014570658963 C170 of 189396382956961^13-1 P81: 445720967524317154903211539144414378396779078504247053880042561350264537437866999 P89: 90182284831730320063572069430524425135809792122646367949061035427504760251333448566397519 |
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