From challenge-administrator@majordomo.rsasecurity.com Wed Jan 30 16:03:27 2002 Return-Path: Received: from pathfinder.securitydynamics.com (securecare.securitydynamics.com [205.181.76.19]) by shire.ontko.com (8.9.3/8.9.3/Debian 8.9.3-21) with SMTP id QAA00381 for ; Wed, 30 Jan 2002 16:03:26 -0500 X-Authentication-Warning: shire.ontko.com: Host securecare.securitydynamics.com [205.181.76.19] claimed to be pathfinder.securitydynamics.com Received: from cameos.rsasecurity.com by pathfinder.securitydynamics.com via smtpd (for shire.ontko.com [199.164.165.1]) with SMTP; 31 Jan 2002 00:00:54 UT Received: (from daemon@localhost) by cameos.majordomo.rsasecurity.com (8.8.8+Sun/notrash) id PAA23159; Wed, 30 Jan 2002 15:54:44 -0500 (EST) Date: Wed, 30 Jan 2002 15:54:44 -0500 (EST) Message-Id: <200201302054.PAA23159@cameos.majordomo.rsasecurity.com> From: challenge-administrator@majordomo.rsasecurity.com (RSA Factoring Challenge Administrator) To: rayo@ontko.com X-IMAPbase: 1128097135 1 Status: RO X-Status: X-Keywords: X-UID: 1 Partition Honor Roll 165 digits - 169 digits ----------------------- As of July 11, 1999 p(23071) Factors: 37 * 843113 * 30871 * 77617 * 222475943 * 122245219849 * 9115408417210209271 * 5438741118283970471079911191050841781323023776856381769249214220254720994858137812269450648646163660709482879 Date: January 1, 1994 Method: trial division, ecm (p19, first step 100000, during first 30 curves) Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: January 1, 1994 --------------------------------------------------------------- p(23081) Factors: 1126159 * 12696289 * 226743471023 * 17537729777173649356206332767 * 144004205598308755668778209329 * 13387638877914910336308208172591865880318242090380546491098109877482462613732315707 Date: Dec 28, 1994 Method: TD, ECM (using Lips): p7, p8, p12, p29, p30, restp83 Time: 1 mips year Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: December 28, 1994 --------------------------------------------------------------- p(23087) Factors: 2 * 2 * 2 * 2 * 19 * 263 * 40406273 * 1856191 * 7303137577 * 169997665479575625158961736348751 * 15484401765113708196557756039705863517393822248269530863403079425490856393424794448637475977408103146743 Date: July 6, 1998 Method: trial division, ecm (p33 with first limit 1400000) Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com Recd: July 6, 1998 --------------------------------------------------------------- p(23099) Factors = 210927467993115619699883830293124178606495999725971934786919533559482221388078898976631633501318814168690902996021871246234327629719474379891694435059474553731537900 (165 digits) Factors: 2 * 2 * 3 * 5 * 5 * 5 * 5 * 23 * 42853 * 3623489117 * 4760028118129319415569707728674484996669507134972466498584819676791471701165551343948274791541468521863408787089297385694724456516618799431248029 Date: Dec 31, 1993 Method: TD, ECM (p10) Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: December 31, 1993 --------------------------------------------------------------- p(23117) Factors: 2 * 3 * 11 * 3628104816223416320387 * 27912443056847161330416930917 * 22187211718377194181500898843227174019259822148397572718603561251301591885503591695951690738202163602566056305167 Date: Dec 30, 1994 Method: TD, ECM (using Lips): p22, p29, restp113 Time: 1 mips year Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: December 30, 1994 ------------------------------------------------------------------------------- p(23131) Factors: 3 * 3 * 3 * 3 * 5 * 1061317 * 4155467 * 723135873288693719 * 129122741117355085604434915889538972089972647411170510916531300528686194424332024234049603041272535140405835584430934667306541597309 Date: January 1, 1994 Method: trial division, ecm (p18, first step 100000, during first 30 curves) Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: January 1, 1994 --------------------------------------------------------------- p(23143) = 184442228662044198402443196586332332104651168768906283502058349042798881929645910065842288046777020286426704030774559882906012325799820511959373170159751823097078701 (165 digits) Factors: 7 * 13 * 419 * 1330913077457677913501 * 1597877750624825606194751627 * 316189087358600507299753437480836386227343362325672373 * 7193907130011414657145422016436537752112050898352333186839 Date: October 15, 1998 (found); December 30, 1999 (sent) Method: trial division, ecm (p28), ppmpqs (two largest factors) Time: approximately 175 mips years for ppmpqs Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com --------------------------------------------------------------- p(23159) Factors: 2 * 2 * 5 * 5 * 107 * 191 * 281 * 367290482308734959114668044670783554784360303395665796278223892572699716511098858233421159587077192818570642486617359530964315175548560013337916062607601407 Date: Dec 31, 1993 Method: TD Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: December 31, 1993 --------------------------------------------------------------- p(23197) Factors: 2 * 5 * 47 * 107 * 155483887486416468124828055775349 * 37092298943012111468380888006601958700137649055670525702890459294250494002521082483616660643858456893326156312828925558461549157 Date: February 12, 1997 Method: Trial division and ECM for last factor (program MIPS.ecm2.3000000 from Peter Montgomery) Time: 1150s on SGI R10000 to find the p33 factor, after about 5 tries Name: Paul Zimmermann Address: INRIA Lorraine, 615 rue du Jardin Botanique, BP 101, F-54600 Villers-les-Nancy Email: Paul.Zimmermann@inria.fr Phone: +33 03 83 59 30 21 Recd: February 12, 1997 --------------------------------------------------------------- p(23203) Factors: 7 * 23 * 223 * 87103 * 14057 * 83982758052419441 * 7743279584495751091008827039 * 10668626908638085885549963511568700524044876227012867373854253647346467263044103219599467542667078849983253 Date: March 6, 1997 Method: trial division, ecm (p28 with frist limit 1000000) Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com Recd: March 6, 1997 --------------------------------------------------------------- p(23209) Factors: 5 * 13 * 20857 * 21179 * 11169557380982364416037597566264218646916717706356687603337428436533287545971756130242570220205474896716340300785987750866081502514256033011329173857489883 Date: Dec 31, 1993 Method: TD Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: December 31, 1993 --------------------------------------------------------------- p(23269) Factors: 2 * 5 * 5 * 13 * 15139309 * 921178178785831244937109471 * 58459420466402236293063259353070588771090541085701740410980244249194914286678142283420938069253480569076909573068917640606844927 Date: Jan 25, 1994 Method: TD, ECM (using Lips): p8, p27, restp128 Time: 125 mips days Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: January 25, 1994 --------------------------------------------------------------- p(23279) Factors: 2 * 3 * 5 * 7 * 13 * 97 * 253464283339 * 9753431029373797361 * 7276864243602369020249 * 14172341011986142492322221697129 * 8533903658695420026843957564565829744453937020856715934235779142169356028343 Date: Jan 18, 1994 Method: TD, ECM (using Lips): p12, p19, p22, p32, restp76 Time: 40 mips days Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: January 18, 1994 --------------------------------------------------------------- p(23293) Factors: 11 * 10193 * 2966723 * 683768341491539 * 217829781437567653 * 4154252220038634525901561 * 5209705164896179466627399782682421757 * 604059379818529347836492789631005382535149700473359388206849 Date: June 12, 1994 Method: trial division, ecm, ppmpqs (two largest factors) Time: 19.5 hours on a 16K MasPar for ppmpqs Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: June 12, 1994 --------------------------------------------------------------- p(23297) Factors: 7 * 11 * 101 * 1756129079 * 49038636522867747038239256671570005231137270757268765900421120642752586418008576421777838840819823060334869754537747524163878890407068779663866168220517 Date: Dec 31, 1993 Method: TD, ECM (p10) Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: December 31, 1993 --------------------------------------------------------------- p(23327) Factors: 13 * 84426858880094553019 * 184627668610521444353 * 4246895714424286829291358880405784813935415060345364137643874758694117011349462016820035670286557968439372290880880345497751 Date: January 1, 1994 Method: trial division, ecm (p20, p21, first step 100000, during first 30 curves) Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: January 1, 1994 --------------------------------------------------------------- p(23333) Factors: 5 * 479 * 223635651678883049 * 204400811949290040549611 * 8264791866993357420001576479354291662151315031699524319109097754392877795443955061056422865162502643563481911347107364787 Date: Jan 26, 1994 Method: TD, ECM (using Lips): p18, p24, restp121 Time: 80 mips days Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: January 26, 1994 --------------------------------------------------------------- p(23357) Factors: 2 * 7 * 7 * 11 * 11 * 13 * 40787 * 97504590292242370862197 * 1803460162670899366088613339252635175251245974639154686666188244480992454359465210708091771931029764395075322047731309390502542805099 Date: January 1, 1994 Method: trial division, ecm (p23, 31st curve, first step 100000) Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: January 1, 1994 --------------------------------------------------------------- p(23369) Factors: 2 * 5 * 19 * 31 * 121189 * 14539489 * 117757178809719421215425202940893244336801179431892974952519743744690098239129342850541914592430685504798574015099564865250469516727075607469284645903 Date: Dec 31, 1993 Method: TD, ECM (p8) Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: December 31, 1993 --------------------------------------------------------------- p(23371) Factors: 2 * 7 * 7 * 23 * 607 * 23131 * 581551 * 287811413 * 1265306831063749341855913283690681 * 3408918102389398022092612933375336031 * 54390098358045372721154209685519140985623033595671019532749033420419993 Date: September 9, 1997 Method: trial division, ecm (p34 with first limit 1000000), ppmpqs (two largest factors) Time: approximately 70 mips years for ppmpqs (p37 left after ecm+ecm/fft) Address: http://www.loria.fr/CCH (for "Centre Charles Hermite") Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com Recd: September 11, 1997 --------------------------------------------------------------- p(23399) Factors: 2 * 2 * 3 * 5 * 5 * 7 * 16273 * 21362219 * 965387113212287 * 67325043483047214002793097 * 33084315533743355143110555463069624773071411716543686029994388473408615041009265293830644878507739233317742423 Date: Jan 23, 1995 Method: TD, ECM (using Lips): p8, p15, p26, restp110 Time: 50 mips days Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: January 23, 1995 --------------------------------------------------------------- p(23459) Factors: 5 * 70556636343619 * 90904300131163720027 * 80718028768086536860023010460233625951347800750475270497966656322094400573308009754811563552488171895021172516316909542600776436331 Date: January 1, 1994 Method: trial division, ecm (p20 on 5th curve, first step 100000) Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: January 1, 1994 --------------------------------------------------------------- p(23473) Factors: 2 * 2 * 2 * 2 * 2 * 2 * 5 * 19 * 226283 * 72771319610680796502689 * 29053211016244452103525339983426337110139815138639111972954232597706982167076055025618595743676089490962525481890567532465292988101993 Date: Jan 24, 1994 Method: TD, ECM (using Lips): p23, restp134 Time: 30 mips days Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: January 24, 1994 --------------------------------------------------------------- p(23497) Factors: 3 * 3 * 7 * 37 * 6883 * 408937774546181119 * 597509119316101704980221770343 * 63556096984399470218391160062739377707687 * 14256713769809931571941531647286079672184045408968937756538472772207501 Date: June 7, 1998 Method: trial division, ecm (p30 with first limit 100000), ecm/fft (p41 with program MIPS.ecm2.50000000.shared from Peter Montgomery) Time: 167th curve with 50000000 ecm/fft on Lehigh's Origin2000, after 3300 curves with first limit 1400000 and 422 curves with 8000000 ecm/fft Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com Recd: June 7, 1998 --------------------------------------------------------------- p(23509) Factors: 3 * 3 * 3 * 5 * 5 * 7 * 43 * 67 * 607 * 5009 * 2420018521 * 326989409 * 2141814720860158956029933 * 1387997567619050090371 * 93272095353563046906569 * 432231782308817656116715932809118190247284003088814933768873586903 Date: January 1, 1994 Method: trial division, ecm (C89 = p23*p66, 60th curve with first step 250000; p22, p25, with first step 100000 during first 30 curves) Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: January 1, 1994 --------------------------------------------------------------- p(23537) Factors: 2 * 2 * 3 * 11 * 197831 * 963397 * 164735265841 * 349066183379033321 * 136707498699981738936339457453 * 25054622719540630820969252087432490125474604580311331029327511137385203181611699866303769117371 Date: Mar 07, 1995 Method: TD, ECM (using Lips): p12, p18, p30, restp95 Time: 1 mips year Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: March 7, 1995 --------------------------------------------------------------- p(23539) Factors: 2 * 3 * 5 * 7 * 7 * 733 * 72039669126383537 * 2076424811840561838473 * 219708361595055316773735203384941 * 142271067674962201988193193952244545431178759981369705252213120651685309608155289459874389 Date: Nov 08, 1994 Method: TD, ECM: p17, p22, p33, restp90 Time: 2 mips years Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: November 8, 1994 --------------------------------------------------------------- p(23549) Factors: 2 * 2 * 2 * 2 * 3 * 5 * 5 * 7 * 183389 * 72211 * 6586014186743764687 * 216249321366640549481999 * 34558577296077514787765319563906920494495704607429956888649491331514484585436465736076085675684308850863996737 Date: January 1, 1994 Method: trial division, ecm (p19, p24, first step 100000, during first 30 curves) Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: January 1, 1994 --------------------------------------------------------------- p(23567) = 6358873786287246714321898846192264206252031605583177899537900466041238970614863668987158930102688172339101728605614251432501106053249156641271926106099998618151983165 (166 digits) Factors: 3 * 5 * 7 * 7 * 7 * 41 * 2594027 * 977585752108612644626205976831000249 * 11887255948766717866441498768373152078559233523516791437679420042429672575103252113981804093269756168174799712568696239 Date: November 10, 1999 Method: trial division, ecm (p36 with first limit 3000000, GMP-ECM 4 by P. Zimmermann (Inria)) Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com --------------------------------------------------------------- >From bad0@CS0.CC.Lehigh.EDU Sat Nov 13 04:57:29 PST 1999 p(23581) Factors: 2 * 2 * 2 * 7 * 3317368919 * 379552642291469286869 * 6074468856461546403367 * 237055245644947722788501 * 70355815077960987285793552612178671989360205357030972122548853273261519893493414564406483 Date: June 14, 1994 Method: trial division, ecm (p21, p22 with first step 100000, p24 with 250000) Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: June 14, 1994 --------------------------------------------------------------- p(23593) Factors: 7 * 18959 * 17939325543311 * 67418543298643 * 442333929642433584083405431 * 111163786103282336655563735347641576444340701919248003354549609161064709365001295932081397700706370182925699 Date: Jan 14, 1994 Method: TD, ECM (using Lips) : p14, p14, p27, restp108 Time: 40 mips days Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: January 14, 1994 --------------------------------------------------------------- p(23599) Factors: 2 * 2 * 5 * 5 * 5 * 23 * 127 * 5419 * 619660007 * 3285400778641 * 2183747847971628215696131 * 235772857148521116442275986314874902867724973934182040457846563132340036326540644046401375754285938109746743239 Date: Jan 18, 1994 Method: TD, ECM (using Lips): p9, p13, p25, restp111 Time: 80 mips days Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: January 18, 1994 --------------------------------------------------------------- p(23627) Factors: 5 * 17 * 3803 * 4863371 * 108197491903704450018100073 * 61537365920578355179955868397885197798137620425030271294426292467473425768336290066181148838906708288734312325865125064590474897 Date: January 22, 1994 Method: trial division, ecm (p27 with first bound 250000) Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: January 22, 1994 --------------------------------------------------------------- p(23633) Factors: 13 * 68507 * 20118122957 * 59890968883483 * 923136778307655349 * 8490361278552049111 * 15733252440751950572459 * 679728187096318963495034951 * 122319709494126893510294106135306174049470569418143 Date: January 11, 1994 Method: trial division, ecm Time: 100 mips hours Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: January 11, 1994 --------------------------------------------------------------- p(23663) Factors: 2 * 2 * 2 * 3 * 3 * 13 * 419792349791 * 11745267462898424867 * 3057801968624657557387693102993729420813492579191910432612973036763328786553615706671223772093638751929421652137925613058784520793027 Date: January 11, 1994 Method: trial division, ecm Time: 10 mips minutes Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: January 11, 1994 --------------------------------------------------------------- p(23669) Factors: 5 * 5 * 43 * 4801 * 71406154305683067617 * 40245863834082641952074043159498018674267645536772741212726801000548378387210385352006201038402230309508756698444753168700188582514210509527 Date: January 12, 1994 Method: trial division, ecm (p20) Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: January 12, 1994 --------------------------------------------------------------- p(23677) Factors: 2 * 3 * 3 * 5 * 5483 * 15349 * 4270517 * 61216313 * 201745357728746496953 * 55827930817308586166841183533 * 710670886227662644742515150752318104539100579230475703545302043077242243942648145062465868189 Date: January 13, 1994 Method: trial division, ecm (p29 with first bound 100000) Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: January 13, 1994 --------------------------------------------------------------- p(23719) Factors: 5 * 31 * 23041643 * 69269824006697 * 90744898163006759134205166091850009616518111017201840275073482392503855360562984587463228906473525704441232623892826080697910344672557416944707 Date: January 11, 1994 Method: trial division, ecm Time: 10 mips minutes Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: January 11, 1994 --------------------------------------------------------------- p(23741) Factors: 5 * 13 * 31 * 31 * 63127 * 73890152549772277 * 183975771808130861887199 * P117 Date: 15 January 1994 Method: TD, ECM Time: small Name: Paul C Leyland Recd: January 15, 1994 --------------------------------------------------------------- p(23743) Factors: 3861173 * 1465156387 * 63981438061 * 68612552627 * 1102784041049889236356805959523752115440173752586667517072402896593400286177530486620173195692425162364754700983131602196235242793 Date: January 10, 1994 Method: ecm Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: January 10, 1994 --------------------------------------------------------------- p(23761) Factors: 5 * 5 * 13 * 12641371 * 20273159 * 381661824326190535862770810294008237521309440273721666883943462241397268899698484963490179992647935557923228693647825089264045837004457438024338417727 Date: Dec 31, 1993 Method: TD, ECM (p8, p8) Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: December 31, 1993 --------------------------------------------------------------- p(23767) Factors: 5 * 29 * 1700353 * 1032402973662349356232430891551769 * 8373982643283911449173940474318201 * 15673259849659928148927698055904456969937620662616090245435334511443187281266295752569777021 Date: March 29, 1999 Method: trial division, ecm, ecm/fft (p34 = 837... with program MIPS.ecm2.3000000.nonshared from Peter Montgomery), ecm (p34 = 103... with first limit 3000000, GMP-ECM 3b by P. Zimmermann (Inria)) Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com Recd: March 27, 1999 --------------------------------------------------------------- p(23773) Factors: 2 * 3 * 7 * 89 * 11777 * 112885001 * 126330186075377267 * 4333728109993610580293 * 224526137962000521172815503819611 * 57473699241788785654698107581972190095705476748029865571308143858558347616561173 Date: Mar 14, 1995 Method: TD, ECM (using Lips): p9, p18, p22, p33, restp80 Time: 3 mips years Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: March 14, 1995 --------------------------------------------------------------- p(23833) Factors: 7 * 7 * 613 * 1919919933561163934000734755790679215022452629471357798591132098801904819705191136435795060724119518347094420024136745383516579241212642691489286935223564477445829 Date: Dec 31, 1993 Method: TD Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: December 31, 1993 --------------------------------------------------------------- p(23869) Factors: 2 * 2 * 3 * 5 * 7 * 139 * 36343 * 36596539790563468855875605383053567612842306687635244187832449783011513495149566852196936370097513540395416499714542340815424577733629665816709097676305974659 Date: Dec 31, 1993 Method: TD Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: December 31, 1993 --------------------------------------------------------------- p(23873) = 80255132763585135131819545092356479593986201561986090889076085331209609885443044309140947368807334312261323462819103666451726719806184574067439401847430648132955683493 (167 digits) Factors: 19 * 19 * 41 * 59 * 487 * 3079 * 9157 * 76423 * 10123530321432894237234967334171900147432147 * 8651308779313095913899638700302401725783194747329564424788856145475871214417338822632625199513661668247 Date: October 10, 1999 Method: trial division, ecm (p44 with first limit 3000000, GMP-ECM 4 by P. Zimmermann (Inria)) Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com --------------------------------------------------------------- >From action12@latinmail.com Thu Oct 14 19:48:04 PDT 1999 p(23879) Factors: 3 * 5 * 53 * 12116179 * 8755070708828148610875049475933675806986125582223769287272169871707977410887195553255247906670141359599472320075196510413830607778565973001988055677942396391 Date: Dec 31, 1993 Method: TD, ECM (p8) Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: December 31, 1993 --------------------------------------------------------------- p(23887) Factors: 2 * 5 * 11 * 1369009 * 1122531733465812403 * 5261713493555274473137527127 * 20418938729686795459795674946865023 * 4960473935257428892237230290620529525944143146637500319877659677222350536897227 Date: Mar 14, 1995 Method: TD, ECM (using Lips): p7, p19, p28, p35, restp79 Time: 2 mips years Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: March 14, 1995 --------------------------------------------------------------- p(23893) Factors: 3 * 5 * 1097 * 3515804135058308349756895634153 * 1636334044824511858001075901244281785267043987847258461907478074017451573068238992965108604513014087740985399090699623465503160509341 Date: Mar 09, 1995 Method: TD, ECM (using Lips): p31, restp133 Time: 1 mips year Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: March 9, 1995 --------------------------------------------------------------- p(23899) Factors: 3 * 5 * 5 * 5 * 7 * 7 * 29 * 109 * 665503 * 1657788581369447342749 * 1552294820286526995852299786602143693780038398468922267475228561038898566395380157017987864724438474942543681635479095321997408251151 Date: January 15, 1994 Method: trial division, ecm (p22) Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: January 17, 1994 --------------------------------------------------------------- p(23909) Factors: 2 * 2 * 2 * 3 * 3 * 3 * 5 * 11 * 304114192049 * 900147935355413194526704242491850877 * 33218756618432227671350258924559331390258994861666431501821930644511469030460301448507664386123651452451782923688913 Date: February 16, 1999 Method: trial division, ecm, ecm (p36 with first limit 3000000, GMP-ECM version 3b, by P. Zimmermann (Inria)) Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com Recd: February 16, 1999 --------------------------------------------------------------- p(23911) = 109829379824682074034237176850381339781403773009725106740603465208370270861279675937802153470283630765168943555198766175258588827122625777271980511590570726036669881212 (168 digits) Factors: 2 * 2 * 7 * 54762960209925133 * 5581171062844812742650253 * 230067076850527769204537712359572169083 * 55781960739962547828424313030628213159939195295518136744423292723486944479020222748787 Date: September 9, 1999 Method: trial division, ecm (p39 with first limit 3000000, GMP-ECM 4 by P. Zimmermann (Inria)) Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com --------------------------------------------------------------- >From bad0@CS0.CC.Lehigh.EDU Sat Sep 11 05:50:17 PDT 1999 p(23929) Factors: 2 * 2 * 2 * 5 * 13 * 1063 * 200186191 * 1151456812047137151334696546113256958041124942628861672652826933492963131741132455143426334873627429784970783039035504096826890774990704791643176165939497 Date: July 18, 1994 Method: trial division, ecm Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: July 19, 1994 --------------------------------------------------------------- p(23971) Factors: 7 * 7669 * 53629 * 4062695962516717585688231 * 15401868816738099219848073406653548752598712934971366908777775487181141603070576012907611032218209295942090229833633811774849764784621 Date: Sep 29, 1994 Method: TD, ECM (using Lips): p25, restp134 Time: 78 mips days Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: September 29, 1994 --------------------------------------------------------------- p(23977) Factors: 2 * 2 * 3 * 7 * 47900621 * 47041334416303555116817666946470226348969606954791601303481548368645009869847796456669499937747234438768417006935186626704819679086770724735526552904117355871 Date: July 18, 1994 Method: trial division, ecm Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: July 19, 1994 --------------------------------------------------------------- p(23981) = 195621149428052311619850068006994077745215347214325060567677233528224978315168469411010677896128038830923757198540971784506973707952796923720206558057990478410228477075 (168 digits) Factors: 5 * 5 * 7 * 42043 * 2356928666886326095689000001267086841351 * 26502866979046800436092139710764393342593 * 425642283523784673784878799446926151675420180562468250197459452088171274811273281 Date: December 6, 1999 Method: trial division, ecm (p41 with first limit 3000000, GMP-ECM 4 by P. Zimmermann (Inria)), then ecm/fft (p40 with program MIPS.ecm2.30000000.shared from Peter Montgomery) Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com --------------------------------------------------------------- p(24007) Factors: 22325109253 * 1234517623616559808241711353 * 8793227569598305256919541096882869058821602727290307952360147794632528914201356317373079489026478366263749439573611925971004949831 Date: October 1, 1994 Method: trial division, ecm (p28 with first step 100000) Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: October 1, 1994 --------------------------------------------------------------- p(24019) Factors: 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 3 * 3 * 3 * 5 * 11 * 719 * 1999 * 30674175363068597 * 15961553942234303856764750695364032577441265858924637630560464607028838399329209438654776005104746886330793821634346148785612732583665357869 Date: July 24, 1994 Method: trial division, ecm Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: July 24, 1994 --------------------------------------------------------------- p(24023) Factors: 2 * 3 * 3 * 211 * 9743 * 3651167354953 * 101733558691693 * 1094416816679903920006982626457851 * 18379473166815279398811549572189179234909515643137430812558787741824438348574632128782449173979704269 Date: June 14, 1998 Method: trial division, ecm (p34 with first limit 1400000) Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com Recd: June 14, 1998 --------------------------------------------------------------- p(24029) Factors: 5 * 7 * 7 * 17 * 29 * 61 * 67 * 6451 * 13187 * 12494007403035621961 * 4857419107285064137220408303 * 1455028605396011493801268321087556456208289 * 78332611688205560322414876913931853249462504911302374976204841 Date: May 9, 1997 Method: trial division, ecm, ecm/fft (p28 with program MIPS.ecm2.3000000.nonshared from Peter Montgomery), ppmpqs (two largest factors) Time: approximately 50 mips years for ppmpqs Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com Recd: May 9, 1997 --------------------------------------------------------------- p(24043) Factors: 7 * 7 * 7 * 487 * 1433 * 2423 * 9871 * 56934338979823766794139200874236010518351623865746143841234795354849454007843687897421337301811081548363602884263502004558625457282150629607234678641831 Date: Mar 15, 1994 Method: TD : restp152 Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: March 15, 1994 --------------------------------------------------------------- p(24049) Factors: 2 * 2 * 5 * 5 * 5 * 7 * 7 * 236261 * 357038147 * 758901618907240993631 * P129 Date: 17 January 1994 Method: TD, ECM (p9, p21) Time: 1e-3 Name: Paul C Leyland Recd: January 17, 1994 --------------------------------------------------------------- p(24061) Factors: 2 * 2 * 2 * 2 * 3 * 73 * 101 * 313 * 10589 * 34147 * 484915098918331 * 1603621823567207 * 11354901963400769 * 337977740601712519042151 * 2365736653531078251078911 * 21813016916448849550243751 * 61280602504242803331413171523403 Date: October 1, 1994 Method: trial division, ecm Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: October 1, 1994 --------------------------------------------------------------- p(24071) Factors: 2 * 2 * 2 * 7 * 73 * 233 * 6495943 * 4640736470766479458356364755924029 * 14292580310817095801591512103806336322803194573268817649842764973448039057702800599256695611795452695781401610946290248777 Date: Feb 21, 1995 Method: TD, ECM (using Lips): p7, p34, restp122 Time: 3 mips years Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: February 21, 1995 --------------------------------------------------------------- p(24077) Factors: 2 * 2 * 19 * 91356697 * 2574498713275536583 * 404223063849061882863044647 * 5667525410661985635323368099151 * 10528748551656281756334917175278996890509448594313951146130751614093522187714796907 Date: Dec 01, 1994 Method: TD, ECM (using Lips): p8, p19, p27, p31, restp83 Time: 4 mips years Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: December 1, 1994 --------------------------------------------------------------- p(24091) Factors: 79 * 137 * 195421619 * 228725205699693863215324117044468956620982722714911850129176281777641252361605895105622062713475424566173585048391391403647270587170275823813551914243806153 Date: July 18, 1994 Method: trial division, ecm Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: July 19, 1994 --------------------------------------------------------------- p(24103) Factors: 2 * 2371 * 3571 * 1825909079 * 12620744931981093989 * 246832509428834981 * 5543178641256091900892984979088505267853743196747713595499442211876341005315876205801506997410846021966819305320509 Date: July 18, 1994 Method: trial division, ecm (p20 with first step 10000, p18 with 100000) Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: July 19, 1994 --------------------------------------------------------------- p(24107) Factors: 3 * 5 * 5 * 5 * 5 * 11 * 1321 * 42437 * 15382091 * 843085343 * 1174952113233881 * 31806889893926887 * 3665124732572076674489 * 2300880449005840730890451 * 27861250328944141515780559 * 4190849707475209813574553986473975217 Date: October 1, 1994 Method: trial division, ecm Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: October 1, 1994 --------------------------------------------------------------- p(24109) Factors: 5 * 118903 * 4108139821 * 54120147073 * 4243527588085227318780098291456307930487349668229911059866789281365008454482832568537668792345037703753171278126323350628201733099769940798163 Date: July 18, 1994 Method: trial division, ecm Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: July 19, 1994 --------------------------------------------------------------- p(24113) Factors: 7 * 7 * 11 * 17 * 109 * 533617982718533891 * 326400057088310509874246681 * 388559922922226324777219839937779621 * 8575666037692379922809840434269519279784561170450940897028963161921309575176457919 Date: October 30, 1998 Method: trial division, ecm (p27), ecm/fft (p36 with program MIPS.ecm2.16000000.shared from Peter Montgomery) Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com Recd: October 30, 1998 --------------------------------------------------------------- p(24133) Factors: 3 * 331 * 2699 * 12536963869 * 321143557734788183458367917 * 51660334095288121351128562027 * 1225562982537748452297959293383345858134431222903827967837463054416583283865645249184338984562137 Date: Jan 30, 1995 Method: TD, ECM (using Lips): p11, p27, p29, restp97 Time: 1 mips year Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: January 30, 1995 --------------------------------------------------------------- p(24137) Factors: 11 * 1809527 * 100169061765320241660377291 * 354090963929181195318477557493182887548970190716951741766152417292028022484177172753657773107587637469504517347018531078130391959308551 Date: October 1, 1994 Method: trial division, ecm (p27 with first step 100000) Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: October 1, 1994 --------------------------------------------------------------- p(24151) = 792028239050703651782456662790973591272649401799483395155670770919918623717280936700161508875159019204043071310220537767501028626512270748176141277877323800741622242360 (168 digits) Factors: 2 * 2 * 2 * 3 * 3 * 5 * 11 * 13 * 5437 * 54133 * 329684826459886978120919069 * 233972193844814982474152741401826228413 * 1694655312487217527102486555052208228234851 * 399885921898318999188733342152922043192725817111 Date: June 8, 1999 Method: trial division, ecm (p39 with first limit 3000000, GMP-ECM 4 by P. Zimmermann (Inria)), MAGMA ppmpqs (two largest factors) Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com --------------------------------------------------------------- p(24169) Factors: 2 * 5 * 7 * 9108789878194564891 * 98111819349401696008637 * 1048154574527837609029516303 * 65589647672831292686634515500576788494096467 * 213491347824277929682580153924519091989127771307101853 Date: October 1, 1994 Method: trial division, ecm, ppmpqs (two largest factors) Time: a few mips years Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: October 1, 1994 --------------------------------------------------------------- p(24181) Factors: 11 * 11 * 947 * 65129 * 187477 * 785119 * 2403301437037309 * 9665094676422615845473 * 266872749528568740001074521 * 148793098841576187009383950456865204943729374058119134599802797463582626208990393493 Date: October 1, 1994 Method: trial division, ecm (p22 with first step 100000, p27 with 250K) Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: October 1, 1994 --------------------------------------------------------------- p(24197) Factors: 2 * 2 * 2 * 2 * 3 * 7 * 7 * 23 * 8581 * 501817 * 22373984783 * 221675641236323812804330970874405582297368476756913820966834080897515408180478412256945753646816186204774539365161770850294018441874485254337401 Date: July 18, 1994 Method: trial division, ecm Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: July 19, 1994 --------------------------------------------------------------- p(24223) Factors: 2 * 2 * 2 * 2 * 31 * 307 * 34994655607 * 1271425338181501 * 48063794162104073 * 267809123665540277512298779231 * 16396956994183207571181934172620503454660431258975575207299684637870901056207706552281976391 Date: Nov 10, 1994 Method: TD, ECM (using Lips): p11, p16, p17, p30, restp92 Time: 1 mips year Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: November 10, 1994 --------------------------------------------------------------- p(24229) Factors: 2 * 5 * 29 * 73 * 18541 * 560797645994612225868499 * 6823756775078711448848394364277411967316486009359871234455177683954664138915923388869347858964567033327972014763816634391749930281508497 Date: Sep 29, 1994 Method: TD, ECM (using Lips): p24, restp136 Time: 15 mips days Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: September 29, 1994 --------------------------------------------------------------- p(24239) Factors: 2 * 2 * 2 * 5 * 7 * 7 * 11 * 557 * 20183 * 643873 * 7548617 * 35457403 * 94324057 * 413807706405902941772919029826161139997047052220688020085492611818937743741494604594383930496179586619259372733776017670450179389 Date: Mar 15, 1994 Method: TD, ECM : p7, p8, p8, restp129 Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: March 15, 1994 --------------------------------------------------------------- p(24251) Factors: 2 * 2 * 2 * 5 * 830441 * 39341 * 18457 * 7046217955221284196818987983 * 353903372787711016165171567 * 29907586251107053571208855494622493459544768302897297674406226702871750380983324248037506810585901 Date: October 1, 1994 Method: trial division, ecm (p28 with first step 100000, p27 with 250K) Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: October 1, 1994 --------------------------------------------------------------- p(24317) Factors: 7 * 17 * 53 * 997 * 51461 * 7243047180179 * 849144140903705310634657 * 1551771293913117423756979126797187201821763244803010244139749956403396468968200969502083459326107465268990886232386443631 Date: Sep 29, 1994 Method: TD, ECM (using Lips): p13, p24, restp121 Time: 29 mips days Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: September 29, 1994 --------------------------------------------------------------- p(24359) Factors: 5 * 5 * 11 * 67953567882060178399224799 * 153820860481879162656369427 * 35735249152277912997384901354891 * 50033720723013171752636785247278639 * 847256684536780665710354698595898645604332733043 Date: Dec 06, 1994 Method: TD, ECM (using Lips): p26, p27, p32; MPQS (ipsc860): p35, p48 Time: ECM: 3 mips years, MPQS: 12 hours on 16 nodes of an Intel ipsc860 hypercube Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: December 6, 1994 --------------------------------------------------------------- p(24371) Factors: 2 * 11 * 467 * 2351 * 277177 * 91814747 * 106394237 * 1278115847561767711534273487 * 23249295690776630720048570898055453 * 2471623154427676093182154392928264856402646481190650582424704556472577354554887 Date: Mar 22, 1995 Method: TD, ECM (using Lips): p8, p9, p28, p35, restp79 Time: 3 mips years Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: March 22, 1995 --------------------------------------------------------------- p(24373) = 4882501881134360124259706357019198568064317170803019138100864475821567583547708938355282823997207141429478946187432777219130908687743271658322097648699739270047768963820 (169 digits) Factors: 2 * 2 * 3 * 5 * 11 * 23 * 70079 * 264708637 * 398281298683 * 4542475170992394578416253096349871607 * 9583676889139356494659556366071463474151101291790828653653969546423694563831919795817079284554311814623 Date: September 28, 1999 Method: trial division, ecm (p37 with first limit 3000000, GMP-ECM 4 by P. Zimmermann (Inria)) Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com --------------------------------------------------------------- >From aimh@turbomail.net Wed Oct 6 18:29:59 PDT 1999 p(24379) Factors: 5 * 7 * 11 * 434463331 * 30656846092593797010544459697145570553877110335970157708121946822870695308236890709272366546271293543185250897605599600852460330745431290927157954581938886169 Date: July 18, 1994 Method: trial division, ecm Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: July 19, 1994 --------------------------------------------------------------- p(24419) Factors: 2 * 2 * 3 * 5 * 5 * 7 * 17713 * 18149 * 92872943 * 13730619277 * 8258934602752363266214326147828089068174447583936403262957310682250048246552015742248085558563022060757307808619534292756892042544782466647 Date: July 18, 1994 Method: trial division, ecm Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: July 19, 1994 --------------------------------------------------------------- p(24421) Factors: 2 * 2 * 2 * 7 * 7 * 31 * 70379 * 8282375394293365471 * 1020269690428377320932400575111561837180002081918688844722488647184261616959178461977815932111759369920057429133682069323025689470345249247547 Date: July 18, 1994 Method: trial division, ecm (p19 with first step 10000) Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: July 19, 1994 --------------------------------------------------------------- p(24439) Factors: 5 * 11 * 647 * 235244895713604389494877229769525469065294946175812258726463708189718522748725053979671536363504461323685958962553580827667812129535146835799240012548793010412381671 Date: July 18, 1994 Method: trial division, ecm Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: July 19, 1994 ---------------------------------------------------------------