From challenge-administrator@majordomo.rsasecurity.com Wed Jan 30 16:03:26 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 QAA00355 for ; Wed, 30 Jan 2002 16:03:24 -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 00:00:51 UT Received: (from daemon@localhost) by cameos.majordomo.rsasecurity.com (8.8.8+Sun/notrash) id PAA23228; Wed, 30 Jan 2002 15:54:46 -0500 (EST) Date: Wed, 30 Jan 2002 15:54:46 -0500 (EST) Message-Id: <200201302054.PAA23228@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 125 digits - 129 digits ----------------------- As of April 1, 1998 p(13411) Factors: 2 * 2 * 3 * 3 * 983 * 1848227 * 479690049143023 * 23451809309139809275480162988321 * 14867807269453454163120422218406114323687244526667110166011554403521 Date: August 28, 1992 Method: TD, ECM (using LIPS): p7, p15, p32, restp68 Time: 1.5 Name: Franz-Dieter Berger, Thomas Denny, Johannes Buchmann Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 6600 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024167 Recd: August 28, 1992 --------------------------------------------------------------- p(13417) Factors: 7 * 7 * 6203 * 165871165246510586435592771677 * 231786592088356156578697003667838348726586979770523865441454481931857646566777658413090207 Date: Jun 1, 1992 Method: TD, ECM (using LIPS): p30, restp90 Time: ECM ca. 54 days on 1 SUN sparc1 Name: Franz-Dieter Berger, Thomas Denny, Johannes Buchmann Adress: University of Saarland - Informatik (FB14)-, Im Stadtwald, 6600 Saarbruecken -Germany- email: fberger@cs.uni-sb.de Phone: germany 681 - 3024167 Recd: June 1, 1992 --------------------------------------------------------------- p(13421) Factors: 173 * 1877 * 13291 * 6895481 * PRP108 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(13441) Factors: 31248175841347217 * 63338070125678090789 * PRP88 Date: May 2, 1991 Method: ECM (p17), P+-1 (p20) Time: 0.02 Name: Peter L. Montgomery Recd: May 2, 1991 --------------------------------------------------------------- p(13451) Factors: 7 * 139 * 491173338222103 * PRP107 Date: April 10, 1991 Method: ECM (p15) Time: 4E-3 (1.5 MIP-days) Name: Peter L. Montgomery Recd: April 10, 1991 --------------------------------------------------------------- p(13457) Factors 2 * 13 * 67 * 6577 * 25127 * 9659599360583 * 898935162831738352867468020105569 * 7255525075429312822651775960109199253015885185787315441833205583197 Date: December 25, 1992 Method: ppmpqs Time: a few day on a 16K MasPar (ppmpqs) Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: December 25, 1992 --------------------------------------------------------------- p(13463) Factors 2 * 13 * 125052427013814442501 * 267504694508717363183 * 823571813600543769290605579 * 27045042657710278844891923679282116983467608570423502807 Date: December 13, 1991 Method: ecm Time: 1.5 hours on 16K MasPar Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: December 13, 1991 --------------------------------------------------------------- p(13469) Factors: 3 * 5 * 107 * 24623 * 1826417 * 577909208963 * 1230792006890825502927899 * 403025507099997558089616952503435722420376298285801123248087572159229039607 Date: May 4, 1992 Method: TD, ECM (using LIPS): p7, p12, p25, restp75 Time: ECM ca. 8 hours on 22 SUN sparc1 Name: Franz-Dieter Berger, Thomas Denny, Johannes Buchmann Adress: University of Saarland - Informatik -, Im Stadtwald, 6600 Saarbruecken -Germany- email: fberger@cs.uni-sb.de Phone: germany 681 - 3024167 Recd: May 4, 1992 --------------------------------------------------------------- p(13477) Factors 2 * 2 * 2 * 2 * 3 * 3 * 5 * 1286070960254845594309320872513 * 1349853697783464699974545046605554660787093 * 18073451371644240284771406170668853163525452526791 Date: October 6, 1993 Method: trial division, ecm (p31), ppmpqs (two largest factors) Time: four hours on a 16K MasPar. Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: October 6, 1993 --------------------------------------------------------------- p(13487) Factors: 3 * 7 * 56473 * 14504592458818131494797171951 * 1465579280253146301380634017779989329601057182229970739486250721364563536798470524114539307 Date: Nov 26, 1992 Method: TD, ECM (using Lips): p29, restp91 Time: ECM ca. 1.8 mip year Name: Franz-Dieter Berger, Thomas Denny, Johannes Buchmann Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 6600 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024167 Recd: November 26, 1992 --------------------------------------------------------------- p(13499) Factors: 5 * 5 * 5 * 19 * 4219 * 180092371817 * 14993976655271 * 1665165401964529 * 109291954173685941978645389 * PRP52 Date: May 2, 1991 Method: P-1 (p12), ECM (p14, p16), ppmpqs (p27, p52) Time: 0.02 for ECM and 0.2 for ppmpqs Name: Peter L. Montgomery and Arjen K. Lenstra Recd: May 2, 1991 --------------------------------------------------------------- p(13513) Factors: 33526048598298895266832317192469183584823621042195088076294223995807813377987969289502994759965539767911014581881089296431823 Date: March 18, 1991 Method: rabin/Miller Name: Arjen K. Lenstra Recd: March 18, 1991 --------------------------------------------------------------- p(13523) Factors: 3 * 1979 * 465225611 * 877589579 * PRP104 Method: Pollard Rho Time: 3E-5 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(13537) Factors: 3 * 3 * 37 * 1543 * 3259 * PRP116 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(13553) Factors: 5 * 19 * 19 * 2689 * 83223438666919 * PRP105 Date: March 21, 1991 Method: ECM Time: 6E-4 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(13567) Factors : 41 * 137 * 151 * 1824698207 * 133435484293 * 1313757267375361927466056727951299 * 223194977503388333102151589746331455035436489284355769992533983321 Date:October 17, 1992 Method: TD, ECM : p10 p12 , PPMPQS :p34 restp66 (using LIPS) Time: ECM ca. 4 mips hours , PPMPQS ca. 40 mips years Name: Franz-Dieter Berger, Thomas Denny, Johannes Buchmann Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 6600 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024167 Recd: October 17, 1992 --------------------------------------------------------------- p(13577) Factors 2 * 3 * 23 * 107 * 47527 * 29887129969 * 341175345213793 * 107436234369966351413828054389057953871879 * 87865825396564384739877841259827341831405337422577 Date: April 15, 1992 Method: ppmpqs Time: approximately 1.5 mips years Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: April 15, 1992 --------------------------------------------------------------- p(13591) Factors: 2 * 5 * 11 * 23 * 1103414426265509883257101273 * 16052335323950413639155726167 * 1756705380335977876661516600137920283099977468858910000503192020731 Date: Jun 1, 1992 Method: TD, ECM (using LIPS) : p28, p29, restp67; Time: ca. 3 days on a SUN sparc 1 Name: Franz-Dieter Berger, Thomas Denny, Johannes Buchmann Adress: University of Saarland - Informatik (FB14)-, Im Stadtwald, 6600 Saarbruecken -Germany- email: fberger@cs.uni-sb.de Phone: germany 681 - 3024167 Recd: June 1, 1992 --------------------------------------------------------------- p(13597) Factors: 13 * 12954849272084977 * PRP108 Date: April 10, 1991 Method: ECM (p17) Time: 4E-3 (1.5 MIP-days) Name: Peter L. Montgomery Recd: April 10, 1991 --------------------------------------------------------------- p(13613) Factors: 7 * 7 * 11 * 17483 * 29137560377 * PRP108 Date: April 10, 1991 Method: ECM (p11 not found until early on 3rd ECM pass) Time: 4E-3 (1.5 MIP-days) Name: Peter L. Montgomery Recd: April 10, 1991 --------------------------------------------------------------- p(13619) Factors: 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 5 * 23017 * 1217879561317617415835577123128586000961 * 1489437469117611133733641625568040366708396439690769075969858089605911220830343 Date: March 2, 1996 Method: trial division, ecm (p40 with first step 1400000, after 2000 curves) Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: March 2, 1996 --------------------------------------------------------------- p(13627) Factors 2 * 7 * 57680345804989 * 13284420403384718863027 * 241596461624969442033371513 * 45003841821750806477761660199222275286079054812794697715318167 Date: March 22, 1992 Method: ppmpqs Time: approximately 1.3 mips years Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: March 22, 1992 --------------------------------------------------------------- p(13633) Factors: 2 * 2 * 7 * 13 * 3986494121 * 21968141531132164915373 * P91 Date: 15 July 1991 Method: TD, ECM (p10, p23), Miller-Rabin for primality test. Time: 0.03 Name: Paul C Leyland Recd: July 15, 1991 --------------------------------------------------------------- p(13649) Factors: 2 * 2 * 2 * 5 * 5 * 7 * 7 * 19 * 1787 * 674371 * 496942081117061423101733 * 37365910874508109328494346029 * P59 Date: 17 February 1992 Method: TD, Rho, ECM (p29 - first limit 300000), PPMPQS (p24, p59) Time: 0.6 (ECM 0.13) Name: Peter L Montgomery & Paul C Leyland Recd: February 18, 1992 --------------------------------------------------------------- p(13669) Factors 5 * 5 * 7 * 7 * 7 * 2999 * 402640729 * 14478831020297099124143 * 640491839229763335163802933 * 1920347172719684956784389234226168240621488590910967551337593 Date: February 7, 1992 Method: ppmpqs Time: 6.5 hours on 16K MasPar Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: February 7, 1992 --------------------------------------------------------------- p(13679) Factors: 2 * 5 * 5 * 7 * 11 * 41 * 6312991 * 5970337 * 41867369669495137 * PRP90 Date: April 25, 1991 Method: ECM (p17) Time: 0.01 Name: Peter L. Montgomery Recd: April 25, 1991 --------------------------------------------------------------- p(13681) Factors 16087 * 389533 * 123648793 * 177957407011 * 1763172044633 * 5033400512856551082768388081 * 171731992557408406283512652147991438013011881976103176229 Date: December 10, 1991 Method: ecm Time: 3/4 hours on 16K MasPar Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: December 10, 1991 --------------------------------------------------------------- p(13687) Factors: 2 * 3 * 3 * 3 * 3457 * 452547247 * PRP112 Method: Pollard Rho Time: 7E-5 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(13691) Factors: 2 * 11 * 53 * 101 * 4457 * 397493 * 1273309 * 964981841 * 6321112732036763 * 28961554814557348619 * PRP61 Date: April 17, 1991 Method: P-1 (p9), ECM (p16, p20) Time: 6E-3 (2 MIP-days) Name: Peter L. Montgomery Recd: April 16, 1991 --------------------------------------------------------------- p(13693) Factors: 2 * 3 * 111676703 * 23423830879570694322317 * 5662116538625859135475673781413 * 2694851728444802767871163751938062531467224372560113023025082573 Date: October 20, 1992 Method: TD, ECM : p9 p23 , PPMPQS :p31 restp64 (using LIPS) Time: ECM ca. 3 mips days , PPMPQS ca. 10 mips years Name: Franz-Dieter Berger, Thomas Denny, Johannes Buchmann Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 6600 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024167 Recd: October 20, 1992 --------------------------------------------------------------- p(13697) Factors: 2 * 2 * 2 * 2 * 3 * 5 * 7 * 23 * PRP121 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(13709) Factors: 2 * 5 * 7 * 7 * 47497 * 8386649458794787 * PRP103 Date: March 22, 1991 Method: ECM (p16) Time: 8E-4 Name: Peter L. Montgomery Recd: March 22, 1991 --------------------------------------------------------------- p(13711) Factors: 2 * 2 * 3 * 3 * 5 * 7 * 7 * 971 * PRP119 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(13721) Factors: 2 * 13 * 31 * 9007 * 394055261 * 520270099 * 40356192522137 * 71881143554219970654328051646022641464909 * 75229164739229382494756362585469892885587080339 Date: Apr 20, 1992 Method: TD, ECM: p9, p14 PMPQS: p41 (using LIPS) Time: ECM: some minutes; PMPQS: 45 days on a SUN SPARC1 Name: Franz-Dieter Berger, Thomas Denny, Johannes Buchmann Adress: University of Saarland - Informatik -, Im Stadtwald, 6600 Saarbruecken -Germany- email: fberger@cs.uni-sb.de Phone: germany 681 - 3024167 Recd: April 20, 1992 --------------------------------------------------------------- p(13723) Factors: 11 * 11 * 11 * 16915499 * 4041033318662479 * 191809443001459398605506549864988727083612717791 * 19021034171871381981680816165988526856566571184715643 Date:December 26, 1992 Method: TD, ECM : p8 p16 , PPMPQS :p48 restp53 (using LIPS) Time: ECM ca. 1 mips day, PPMPQS ca. 25 mips years Name: Franz-Dieter Berger, Thomas Denny, Johannes Buchmann Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 6600 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024167 Recd: December 26, 1992 --------------------------------------------------------------- p(13729) Factors: 3 * 3 * 5 * 5 * 7369 * PRP120 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(13751) Factors: 2 * 3 * 103 * 601 * 13613 * 29339731382533843 * 8986849103974067059940017956689 * 337569029422749531307844715292827582671106452764416333540329488227991 Date: October 3,1992 Method: TD, ECM : p17 , PPMPQS :p31 restp69 (using LIPS) Time: ECM ca. 1.5 mips hour , PPMPQS ca. 60 mips years Name: Franz-Dieter Berger, Thomas Denny, Johannes Buchmann Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 6600 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024167 Recd: October 3, 1992 --------------------------------------------------------------- p(13757) Factors: 5 * 17 * 479 * 3501700354692517 * PRP106 Date: March 22, 1991 Method: ECM (p16) Time: 8E-4 Name: Peter L. Montgomery Recd: March 22, 1991 --------------------------------------------------------------- p(13759) Factors: 2 * 3 * 5 * 7 * 577 * 8419 * 77621 * 187570838574911574499632573706538609752295859568550561 * 33051027925644971888384579316479249829023999418027246805181 Date: December 21, 1994 Method: trial division, ecm, ppmpqs (two largest factors) Time: approxmately 200 mips years Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: December 21, 1994 --------------------------------------------------------------- p(13763) Factors: 3 * 3 * 3 * 3 * 20622048769477 * PRP111 Date: March 22, 1991 Method: ECM (p14) Time: 8E-4 Name: Peter L. Montgomery Recd: March 22, 1991 --------------------------------------------------------------- p(13781) Factors: 3 * 5 * 5 * 7 * 211 * 129815714774713851685508801 * 12381193609611007695349782318559637 * 3500970175275898779283627235402187350606857275806940973916201 Date:June 2, 1992 Method: TD, ECM : p27 , PPMPQS : p35, restp61 (using LIPS) Time: ECM ca. 61 days on SUN sparc ELC, PPMPQS ca. 12,5 mips years Name: Franz-Dieter Berger, Thomas Denny, Johannes Buchmann Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 6600 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024167 Recd: June 2, 1992 --------------------------------------------------------------- p(13789) Factors: 2 * 5 * 11 * 11 * 83 * 28843 * 486341 * PRP111 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(13799) Factors: 3 * 5 * 5 * 11 * 1171 * 4663 * 69001 * 554193530593 * PRP100 Method: P-1 Time: 5E-5 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(13807) Factors: 2 * 3 * 5 * 71 * 241 * 125730503 * 17125629198425723 * PRP96 Date: April 10, 1991 Method: Pollard Rho (p9), ECM (p17) Time: 4E-3 (1.5 MIP-days) Name: Peter L. Montgomery Recd: April 10, 1991 --------------------------------------------------------------- p(13829) Factors: 5 * 19 * 415827721 * 40771713824298200297310863751454329463 * 651282376790779637914945217229813035082351787084348886979720952909338046789411 Date: January 5, 1996 Method: trial division, ecm, ppmpqs (two largest factors) Time: approximately 400 mips years Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: January 9, 1996 --------------------------------------------------------------- p(13831) Factors: 2 * 2 * 2 * 2861046393161917 * 55900661961625961 * PRP93 Date: April 25, 1991 Method: ECM (p16, p17) Time: 0.01 Name: Peter L. Montgomery Recd: April 25, 1991 --------------------------------------------------------------- p(13841) Factors: 3 * 41443 * 24019477374281498171 * 16994663830571996813742792929 * P74 Date: 3 August 1992 Method: TD, ECM (p20, p29) Time: 0.2 Name: Paul C Leyland Recd: August 3, 1992 --------------------------------------------------------------- p(13859) Factors: 2 * 2 * 2 * 3 * 5 * 5867 * 113957 * PRP116 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(13873) Factors: 5 * 11 * 11 * 66184309830427 * 2184511693485323024092169481028999 * 19309308722808964483316866949992287677419312241435062513315823885338514410807 Date: July 9, 1993 Method: ecm (c110 = p34*p77, first limit 2*10^6) Name: Bruce Dodson, Matt Fante Email: bad0@lehigh.edu Recd: June 9, 1993 --------------------------------------------------------------- p(13877) Factors: 2 * 2 * 3 * 3 * 5 * 11 * 153274439 * 172198487 * 62930376559973480952487 * P84 Date: 15 July 1991 Method: TD, ECM (p9, p9, p23), Miller-Rabin for primality test. Time: 0.03 Name: Paul C Leyland Recd: July 15, 1991 --------------------------------------------------------------- p(13879) Factors: 2 * 2 * 5 * 7 * 2059063 * 1419361516967 * 7362954692771 * 20639290458638617 * 756343565643493379 * 4279784223412208033 * 71855790364592993933 * 124616323002116330701 Date: April 25, 1991 Method: ECM (two p13, p17, p19, p20, p21, leaving p18 cofactor - very smooth) Time: 0.01 Name: Peter L. Montgomery Recd: April 25, 1991 --------------------------------------------------------------- p(13883) Factors: 2 * 1109 * 142007 * 19503221693 * 320969951511336889646819910116570100769 * 954462928253580310761603309542316005697762434270047326565223541898597 Date: July 24, 1994 Method: trial division, ecm, ppmpqs (two largest factors) Time: 80 mips years Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: July 26, 1994 --------------------------------------------------------------- p(13901) Factors: 3 * 5 * 313 * 36433 * 49871 * 310076279 * 877768691 * 3867988557539 * PRP84 Method: Pollard Rho + P-1 Time: 3E-5 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(13903) Factors: 47 * 61 * 3960457 * 102762967 * 578330379131860832670631 * PRP85 Date: April 25, 1991 Method: Pollard Rho (p9), ECM (p24 - first limit 30000) Time: 0.01 Name: Peter L. Montgomery Recd: April 25, 1991 --------------------------------------------------------------- p(13907) Factors: 5 * 5 * 7 * 7 * 326863 * 2958891218996711750978873 * 2058868970663539388064983588316770154191335661003558090186643372553897403279329611775267370693 Date: September 27, 1992 Method: TD, ECM : p25 , restp94 (using LIPS) Time: ECM ca. 1 mips year Name: Franz-Dieter Berger, Thomas Denny, Johannes Buchmann Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 6600 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024167 Recd: September 27, 1992 --------------------------------------------------------------- p(13913) Factors: 2 * 2 * 11 * 521 * 24742561 * 2909140111 * 4706219989 * 18763364383 * PRP86 Date: March 22, 1991 Method: P-1 (p8), Pollard Rho (first p10), ECM (second p10, p11) Time: 8E-4 Name: Peter L. Montgomery Recd: March 22, 1991 --------------------------------------------------------------- p(13921) Factors: 7 * 11 * 41 * 197 * 223429 * 4410301253 * 74699913192644917 * 536698856200985794160297 * PRP66 Date: October 3, 1991 Method: P-1 (p10), ECM (p17), ECM/FFT (p24 - first limit 400000) Time: 0.09 Name: Peter L. Montgomery Recd: October 3, 1991 --------------------------------------------------------------- p(13931) Factors 2 * 5 * 5 * 61 * 307 * 359 * 88867959809 * 283867627619454163 * 595493641299178229360858387134444624932191 * 625965833590451948583308354595542959712235485893 Date: April 19, 1992 Method: ppmpqs Time: approximately 1.5 mips years Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: April 19, 1992 --------------------------------------------------------------- p(13933) Factors: 5 * 5 * 67 * 67 * 787 * 52223 * PRP114 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(13963) Factors: 7 * 7 * 7 * 23 * 163 * 281090326481 * 593415943552408416743831149091 * P80 Date: 24 February 1993 Method: TD, P-1 (p12), ECM (p30) Time: 0.4 Name: Paul C Leyland Recd: February 24, 1993 --------------------------------------------------------------- p(13967) Factors: 2 * 3 * 7 * 29 * 67 * 97 * 4799 * 63946243 * 526157585441 * PRP97 Method: Pollard Rho + P-1 Time: 2E-5 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(13997) Factors: 43 * 43 * 4337 * 170389 * 5801620263692230530988760214289077455768971691 * 812370172048093583330526897335492152361102210512170184501260014390431 Date: June 8, 1995 Method: trial division, ppmpqs (two largest factors) Time: approximately 350 mips years Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: June 30, 1995 --------------------------------------------------------------- p(13999) Factors: 5 * 5 * 5 * 29 * 485866302451984837091411 * PRP100 Date: October 15, 1991 Method: ECM (p24 - first limit 300000) Time: 0.09 Name: Peter L. Montgomery Recd: October 15, 1991 --------------------------------------------------------------- p(14009) Factors: 2 * 5 * 11 * 317 * 1562369089 * 27423808331 * 18819275176141068303137146351 * 156423638353517270161183010622037 * 1666155582480438855017307568820006607104317 Date:July 23, 1992 Method: TD, ECM : p10 p11 p29 , PPMPQS :p33 restp43 (using LIPS) Time: ECM ca. 12 mips days , PPMPQS ca. 0.25 mips years Name: Franz-Dieter Berger, Thomas Denny, Johannes Buchmann Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 6600 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024167 Recd: August 23, 1992 --------------------------------------------------------------- p(14011) Factors: 2 * 2 * 1353624719 * 9171024497580185159196844488179713138726017898309 * 150784918718767364640136687923330291217351802749661036334196330300367 Date: June 26, 1997 Method: trial division, ecm, ppmpqs (two largest factors) Time: approximately 250 mips years Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com Recd: June 26, 1997 ------------------------------------------------------------------------------ p(14029) Factors: 2 * 2 * 5 * 1103 * 6871 * 1016875121460866458941251 * 168184185260273770999902356850571 * 350569897402687653914684335382094489615815666435429260282463951 Date:August 23, 1992 Method: TD, ECM : p26 , PPMPQS :p33 restp63 (using LIPS) Time: ECM ca. 1 mips year , PPMPQS ca. 12 mips years Name: Franz-Dieter Berger, Thomas Denny, Johannes Buchmann Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 6600 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024167 Recd: August 23, 1992 --------------------------------------------------------------- p(14033) Factors: 7 * 7 * 443 * 84443 * 113264191 * PRP110 Method: P-1 Time: 2E-6 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(14051) Factors: 2 * 83 * 297659336364180277 * PRP108 Date: May 16, 1991 Method: ECM (p18) Time: 0.02 Name: Peter L. Montgomery Recd: May 16, 1991 --------------------------------------------------------------- p(14057) = 12279986336910577883888097288247600353420706904274984430403003147727897978586967280712610663949964916410960909973072504027139313 (128 digits) Factors: 17203609466677179307953310392937183087314476479 * 713802900530641778850741300162669071313779098412971943401826912114514969691431247 Date: December 30, 1999 Method: gnfs (two largest factors, with CWI's NFS code and Arjen's lattice siever) Time: 32 cpudays polyn selection, c. 574 cpudays sieving (SGI workstations, R10000 for line sieving; assorted Pentiums for lattice sieving), 11.75 cpudays matrix Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com ----------------------------------------------------------------- p(14071) Factors: 2 * 2 * 37 * 94533778273432655277600361798137713773 * 4359501514285552523697226651786024422793 * 234011028103877883683308429126041063653173399919 Date: October 6, 1993 Method: trial division, ecm (p38), ppmpqs (two largest factors) Time: two hours on a 16K maspar for ppmpqs. Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: October 6, 1993 --------------------------------------------------------------- p(14081) Factors: 3 * 3 * 5 * 17 * 31 * 43241167 * PRP116 Method: Pollard Rho Time: 3E-5 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(14083) Factors: 3 * 11 * 133097 * 610386790711 * 12382039655998841 * PRP93 Date: April 10, 1991 Method: ECM (p17 before p12) Time: 4E-3 (1.5 MIP-days) Name: Peter L. Montgomery Recd: April 10, 1991 --------------------------------------------------------------- p(14087) Factors: 5 * 5 * 317 * 45603847 * PRP116 Method: Pollard Rho Time: 5E-6 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(14107) Factors: 3 * 7 * 139 * 331 * PRP122 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(14143) Factors: 2 * 1033 * 273803 * 688669 * 10802305483481 * PRP100 Method: P-1 Time: 5E-5 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(14149) Factors: 5 * 5 * 820273 * 3328487 * PRP114 Method: Pollard Rho Time: 2E-6 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(14153) Factors: 19 * 1697 * 204322124111197742817407 * P100 Date: 17 July 1991 Method: TD, ECM (p24), Miller-Rabin for primality test. Time: 0.03 Name: Paul C Leyland Recd: July 17, 1991 --------------------------------------------------------------- p(14159) Factors: 2 * 2 * 2 * 2 * 2 * 5 * 7 * 7 * 43969 * 332993 * 65709257439971 * PRP100 Date: April 10, 1991 Method: ECM (p14) Time: 4E-3 (1.5 MIP-days) Name: Peter L. Montgomery Recd: April 10, 1991 --------------------------------------------------------------- p(14173) Factors: 3 * 7 * 17 * 31 * 12997976713 * 303555268512040081 * 14118458746274388624719 * 234680248506971751922499 * 294493354548643943132462830239300935981225054254939 Date: 22 July 1991 Method: TD, ECM (p11, p18, p23), PPMPQS (p24, p51) Time: 0.25 (0.05 ECM, 0.2 PPMPQS) Name: Paul C Leyland Recd: August 16, 1991 --------------------------------------------------------------- p(14177) Factors: 7 * 37 * 386989 * 1529334844769959 * 5759161102471423318080096181360819173697875881233 * 50374857845022988601617951427414128813674596047111139813 Date: April 1, 1993 Method: ppmpqs Time: 5.3 days on 16K MasPar Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: April 1, 1993 --------------------------------------------------------------- p(14197) Factors: 3 * 5 * 5 * 227 * 5987 * 1089258265093 * PRP108 Date: March 22, 1991 Method: ECM (p13) Time: 8E-4 Name: Peter L. Montgomery Recd: March 22, 1991 --------------------------------------------------------------- p(14207) Factors: 2 * 11 * PRP127 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(14221) Factors: 2 * 2 * 3 * 5 * 13 * 13 * 1579 * 194696253050614001 * 1093769123606592977481143 * PRP80 Date: April 10, 1991 Method: ECM (p18, p25 - first limit 30000) Time: 4E-3 (1.5 MIP-days) Name: Peter L. Montgomery Recd: April 10, 1991 --------------------------------------------------------------- p(14243) = 90043947856772163089065516450139329970437246139598031122673461321779112829727175932491582016471417342079825978388207878707681531 (128 digits) Factors : 7 * 7 * 31 * 3761 * 4590545237293799584309419181760230834619057732070748027 * 3433437522494562699956459360012961993243168832889817574501604187967 Date: September 5, 1999 Method: trial division, gnfs (two largest factors, with CWI's NFS code and Arjen's lattice siever) Time: 22 cpudays polyn selection, c. 250 cpudays sieving (SGI workstations, R10000 for line sieving; assorted Pentiums for lattice sieving), 6 cpudays matrix, 0.25 cpudays squareroot (first dependency) Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann --------------------------------------------------------------- Email: arjen.lenstra@citicorp.com p(14249) Factors: 5 * 5 * 5 * 11 * 47 * 263 * 771130937 * 17859616018708881137653 * P90 Date: 17 July 1991 Method: TD, ECM (p9, p23), Miller-Rabin for primality test. Time: 0.03 Name: Paul C Leyland Recd: July 17, 1991 --------------------------------------------------------------- p(14251) Factors: 3 * 5 * 5 * 7 * 11 * 17 * 225431763239 * 1871346552307 * 1376549924821657153 * 89225095760283145423 * 2602326409729148090291 * 7408539435261898289332865875534525155011 Date: April 10, 1991 Method: P-1 (p13), ECM (p12, p19, p20, p22) Time: 4E-3 (1.5 MIP-days) Name: Peter L. Montgomery Recd: April 10, 1991 --------------------------------------------------------------- p(14281) Factors: 5 * 5 * 108444337 * 202084073811201440276813 * PRP96 Date: April 25, 1991 Method: P-1 (p9), ECM (p24 - first limit 30000) Time: 0.01 Name: Peter L. Montgomery Recd: April 25, 1991 --------------------------------------------------------------- p(14293) Factors: 2 * 2 * 2 * 2 * 3 * 5 * 5 * 99822138397256701 * 559807423563809690358344833167400674859 * 2288995721240073360347643195871221256796367726783956237509819737950627 Date: November 8, 1994 Method: trial division, ecm, ppmpqs (two largest factors) Time: 90 mips years Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: November 8, 1994 --------------------------------------------------------------- p(14303) Factors 19 * 140551146659581491837798601 * 33026230170011112419391144460816390262203 * 1936082546557762958527896291661336235313898219067527743586459 Date: February 8, 1993 Method: ecm, ppmpqs Time: 3.5 days on a 16K MasPar (ppmpqs) Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: February 8, 1993 --------------------------------------------------------------- p(14321) Factors 102525876238873251504967085791 * 285318432528417030305503096849463 * 7070815027431764254489824963456605652476799648101804014107268872191 Date: December 14, 1992 Method: ecm (penultimate factor), ppmpqs (smallest factor) Time: 0.25 MIPS years (ecm), a day on a 16K MasPar (ppmpqs) Name: Paul Leyland, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: December 14, 1992 --------------------------------------------------------------- p(14323) Factors: 11 * 607 * PRP125 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(14327) Factors: 3 * 5 * 7 * 7 * 43 * 997 * 27905432246422317359713 * 635193760172389533936665309 * PRP72 Date: August 8, 1991 Method: ECM (p23 - first limit 30000, p27 - first limit 300000) Time: 0.07 Name: Peter L. Montgomery Recd: August 8, 1991 --------------------------------------------------------------- p(14387) Factors: 3 * 23 * 140320153 * 142123048270447797297041447256894663487 * 303283654958004656887153457085141798967556269049800915171432109553104900816716079 Date: March 20, 1998 Method: trial division, ecm (p39 found after 2000 curves with 1st limit 1.4e6, 200 ecmfft curves with 1st limit 3e6, 327 GMP-ECM curves with 1st limit 3e6) Time: about 350 hours on SGI R10k Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: zimmerma@loria.fr Recd: April 20, 1998 --------------------------------------------------------------- p(14389) = 426294449205682736028185365570000614177472266885820232070497170573346750672147552450668230545526384536594561760063107827119065575 (129 digits) Factors: 5 * 5 * 357020501 * 380647651595110520124937977944372289061374471741483290269 * 125473889074737483077086446411518941493647208627347110166279967 Date: September 28, 1999 Method: trial division, ecm, gnfs (two largest factors, with CWI's NFS code and Arjen's lattice siever) Time: approximately 234 cpudays sieving (SGI workstations, R10000 for line sieving; assorted Pentiums for lattice sieving). (Substantially more than the minimum number of relations were collected.) Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com --------------------------------------------------------------- p(14341) Factors: 7 * 7 * 563 * 276673 * 128321539582543 * PRP105 Date: March 22, 1991 Method: ECM (p15) Time: 8E-4 Name: Peter L. Montgomery Recd: March 22, 1991 --------------------------------------------------------------- p(14347) Factors: 59 * 138543671251 * 17988282972144624543708036513834206100917 * 1855153674063418850900792167004298462144983415483041316807069854553190777279 Date: April 6, 1996 Method: trial division, ecm, ppmpqs (two largest factors) Time: approximately 400 mips years Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: April 6, 1996 --------------------------------------------------------------- p(14369) Factors 5 * 7 * 151 * 193 * 12022477 * 19881970421 * 3457650892691 * 1463922229337109043920640732729259 * 279290380454529520253734765554432455959292853823014350139317 Date: April 27, 1992 Method: ppmpqs Time: approximately 1.5 mips years Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: April 27, 1992 --------------------------------------------------------------- p(14401) Factors : 47 * 138217963183 * 113994854520089533 * 2434211402838419805406411 * 268628772168782121737741678887538103715277861981331063543010218681880144327 Method: TD, ECM : p12 p18 p25 , restp75 (using LIPS) Time: ECM ca. 0.25 mips years Name: Franz-Dieter Berger, Thomas Denny, Johannes Buchmann Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 6600 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024167 Recd: June 27, 1992 --------------------------------------------------------------- p(14407) Factors: 3 * 3 * 3 * 11 * 9909355951613610780774072901 * 175356679844477084503519239335360876093396899197526065571754641793704569884045251708267934963954959 Date: October 10, 1992 Method: TD, ECM (using LIPS): p28, restp99 Time: 0.4 Name: Franz-Dieter Berger, Thomas Denny, Johannes Buchmann Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 6600 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024167 Recd: October 10, 1992 --------------------------------------------------------------- p(14411) Factors: 2 * 2 * 2 * 5 * 5 * 5 * 7 * 4759 * 56659 * 871913773 * 979114492471699652759 * 16731476315880970267700563 * P62 Date: 20 February 1992 Method: TD, P-1 (p9), ECM (p26), PPMPQS (p21, p62) Time: 0.6 (ECM 0.13) Name: Peter L Montgomery & Paul C Leyland Recd: February 20, 1992 --------------------------------------------------------------- p(14419) Factors: 5 * 23 * 59 * 1276817 * 46152405908120079463601 * 926942636803971329189734652117304141827527791269 * 1581659044618228866308351774221435322591994003211 Date:October 30, 1992 Method: TD, ECM : p7 p23 , PPMPQS :p48 restp49 (using LIPS) Time: ECM 5 mips days , PPMPQS ca. 25 mips years Name: Franz-Dieter Berger, Thomas Denny, Johannes Buchmann Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 6600 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024167 Recd: October 30, 1992 --------------------------------------------------------------- p(14423) Factors: 2 * 3 * 3287354575032111197 * 166978877885690777116175191323318152216802652392931 * 185700165885110047791349067169573610275299930234524450355273 Date: January 6, 1995 Method: trial division, ecm, ppmpqs (two largest factors) Time: approxmately 120 mips years Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: January 6, 1995 --------------------------------------------------------------- p(14431) Factors: 2 * 2 * 603522377 * 2739295043941 * 23289992603363 * PRP94 Date: April 10, 1991 Method: Pollard Rho (p9), ECM (p13, p14) Time: 4E-3 (1.5 MIP-days) Name: Peter L. Montgomery Recd: April 10, 1991 --------------------------------------------------------------- p(14437) Factors: 2 * 2 * 1658304918817788212724119 * 129813523978080516628145148828691 * 823991986807827313360903239839154690605975561754560907706385502170446681 Date: July 28, 1993 Method: ecm, ppmpqs Time: six days on 16K MasPar for ppmpqs Name: Paul Leyland (ecm), Arjen K. Lenstra (ppmpqs) Email: lenstra@bellcore.com Recd: July 28, 1993 --------------------------------------------------------------- p(14447) Factors: 13 * 193 * 101627 * 18595741 * 46424557174343 * PRP100 Date: April 25, 1991 Method: Pollard Rho (p8), ECM (p14) Time: 0.01 Name: Peter L. Montgomery Recd: April 25, 1991 --------------------------------------------------------------- p(14449) Factors: 5 * 5 * 5 * 5 * 11 * PRP126 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(14461) Factors 3 * 5 * 31 * 167 * 29766558719198347 * 369295034775464433212050172060771 * 129331863437507482744618034920618871 * 8288616234403236145358727740553043310939 Date: March 17, 1993 Method: ecm, ppmpqs Time: 43898 seconds ecm, 15 minutes ppmpqs Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: March 17, 1993 ---------------------------------------------------------------