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 QAA00357 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 PAA23158; Wed, 30 Jan 2002 15:54:44 -0500 (EST) Date: Wed, 30 Jan 2002 15:54:44 -0500 (EST) Message-Id: <200201302054.PAA23158@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 120 digits - 124 digits ----------------------- As of November 28, 1994 16:00 PST p(12377) Factors: 3 * 3 * 324080101 * PRP110 Method: Pollard Rho Time: 3E-5 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(12379) Factors: 2 * 2 * 3 * 3 * 5 * 19 * 491 * 9627109 * 780149969 * PRP97 Method: Pollard Rho + P-1 Time: 5E-5 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(12391) Factors: 2 * 7050133 * 30472159 * 1349439788567570948356924691304624760554901313 * 202760088766935448318746020076014780819277870069370712242711 Date: January 13, 1993 Method: ppmpqs Time: a month on the idle time of approximately 30 Decs and sparcs Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: January 13, 1993 --------------------------------------------------------------- p(12401) Factors: 13 * 557 * 12947789 * PRP109 Method: Pollard Rho Time: 5E-6 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(12409) Factors: 2 * 2 * 2 * 2 * 2 * 5 * 5 * 7 * 37 * 697082908338922103916817453342213568321715390181767777924941057168295855897187655122475455692108373557235355594867 Date: 20 March 1991 Method: TD + Rabin for primality test. Time: 1e-7 Name: Paul C Leyland Recd: March 20, 1991 --------------------------------------------------------------- p(12413) Factors: 2 * 2 * 408631 * 2005898168201 * 114619126393225423 * PRP84 Date: April 10, 1991 Method: ECM (p13, p18) Time: 4E-3 (1.5 MIP-days) Name: Peter L. Montgomery Recd: April 10, 1991 --------------------------------------------------------------- p(12421) Factors: 3 * 67 * 28081 * 607517 * 355895930411040585175120689180647 * PRP75 Date: September 22, 1991 Method: ECM/FFT (p33 - first limit 1500000) Time: 0.08 Name: Peter L. Montgomery Recd: September 22, 1991 --------------------------------------------------------------- p(12433) Factors: 2 * 2 * 3 * 68543 * PRP114 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(12437) Factors 3 * 7 * 7 * 73 * 59732833093 * 3327950962198717 * 3033965899111839172603410349566121629553913 * 30731515186114573854700492675410467954884103167 Date: March 15, 1992 Method: ppmpqs Time: approximately 1.5 mips years Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: March 15, 1992 --------------------------------------------------------------- p(12451) Factors: 2 * 2 * 2 * 2 * 3 * 7 * 89 * 99829 * 127481 * 1097502761 * 2186896945012990586706721 * PRP72 Date: August 18, 1991 Method: P-1 (p10), ECM (p25 - first limit 300000) Time: 0.07 Name: Peter L. Montgomery Recd: August 18, 1991 --------------------------------------------------------------- p(12457) Factors: 827 * 2269 * 1170023 * PRP108 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(12473) Factors 2 * 47 * 123127439213 * 10476165376047774061 * 3608413109996862181678950921847151 * 685561608909137546557550897695079894713096119654920813 Date: January 22, 1992 Method: ppmpqs Time: approximately 1.6 mips years Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: January 22, 1992 --------------------------------------------------------------- p(12479) Factors: 3 * 5 * 5 * 7 * 7 * 23057 * 6645757 * 1836022231769256962902799 * 60059109423666926391387489324301 * 5172477884164369603744589800486855104392027012749 Date: 10 September 1992 Method: TD, Pollard rho (p7), ECM (p25), PPMPQS (p32, p49) Time: 0.4 Name: Paul C Leyland Recd: September 10, 1992 --------------------------------------------------------------- p(12487) Factors: 3 * 549042343 * 2490356569 * 2578623076739202195403835287 * 33265106201751227469403935035126472723470649348869256666809926785861094901 Date: September 10, 1992 Method: TD, Time: ECM ca. 0.25 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 10, 1992 --------------------------------------------------------------- p(12491) Factors: 3 * 5 * 11 * 223 * 7753 * 9661 * 4125601 * 404821636769587 * PRP86 Date: April 10, 1991 Method: ECM (p15) Time: 4E-3 (1.5 MIP-days) Name: Peter L. Montgomery Recd: April 10, 1991 --------------------------------------------------------------- p(12497) Factors: 20599 * 769266920329 * 266645834863245909562783789005048009581 * 93324650340132260139277695225473850712127365716671026543061024377 Date: February 9, 1992 Method: TD, ECM : p12 , PPMPQS :p39 restp65 (using LIPS) Time: ECM 6 mips hour , PPMPQS 50 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: February 9, 1993 --------------------------------------------------------------- p(12503) Factors: 5 * 1574599764841 * 23277978209225479 * PRP91 Date: April 21, 1991 Method: ECM (p13, p17) Time: 8E-3 (3 MIP days) Name: Peter L. Montgomery Recd: April 21, 1991 --------------------------------------------------------------- p(12511) Factors: 2 * 2 * 7 * 97 * 97 * 4969369 * 765651268558096887825387323 * P81 Date: January 8, 1991 Method: ECM Time: 0.243 Name: Lambert E. Bright Recd: January 8, 1992 --------------------------------------------------------------- p(12517) Factors 37 * 43 * 2512453 * 549062884494317876783 * 378692815640947135565849024352585353971 * 595793922376558063297102648760379891963097807850707 Date: March 6, 1992 Method: ppmpqs Time: Approximately 2 mips years Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: March 6, 1992 --------------------------------------------------------------- p(12527) Factors: 3 * 967 * 18439 * 35053 * PRP108 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(12539) Factors 5 * 7 * 31 * 864539707 * 30604660131811 * 5564323708366272440252660732144674000741 * 3981795906322121022526836568825505713422446568271663711 Date: July 10, 1992 Method: ppmpqs Time: 20 hours on 7/16 of a 16K MasPar Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: July 10, 1992 --------------------------------------------------------------- p(12541) Factors: 3 * 5 * 7 * 71 * 19379 * 6791229852356217190366244962191654943301609759740903 * 663200966515175297301095488870403912077913160583375771472279 Date: May 20, 1994 Method: trial division, ppmpqs (two largest factors) on a single Method: 16K MasPar MP-2, a new single machine general purpose factoring record Time: approximately 100 mips years Name: Magnus Y Alvestad, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: May 21, 1994 --------------------------------------------------------------- p(12547) Factors: 5 * 7 * 3347 * 64627841999111 * 50982688245387881705449 * 1110275264908731592081937 * PRP55 Date: September 8, 1991 Method: ECM (p14; p25 - first limit 300000), ECM/FFT (p23) Time: 0.08 Name: Peter L. Montgomery Recd: September 8, 1991 --------------------------------------------------------------- p(12553) Factors: 2 * 2 * 2 * 2 * 11059 * 60223 * 22961921 * PRP103 Method: Pollard Rho Time: 6E-6 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(12569) Factors: 2 * 3 * 5 * 7 * 8209 * 8629 * 173823583 * 261336307104396211 * PRP85 Date: April 21, 1991 Method: Pollard Rho (p9), ECM (p18) Time: 8E-3 (3 MIP days) Name: Peter L. Montgomery Recd: April 21, 1991 --------------------------------------------------------------- p(12577) Factors: 2 * 2 * 2 * 3 * 7 * 7 * 28810297120850015413 * PRP98 Date: June 5, 1991 Method: ECM (p20) Time: 0.04 (2 MIP-weeks) Name: Peter L. Montgomery Recd: June 5, 1991 --------------------------------------------------------------- p(12583) Factors: 31 * 271 * 3671 * 138577 * PRP108 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(12589) Factors: 2 * 2 * 5 * 5 * 7 * 5647 * 4902823 * PRP107 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(12601) Factors: 5 * 11 * 11 * 23 * 2617 * 13033 * 47659006391 * 2234336854753 * PRP86 Date: April 10, 1991 Method: P-1 (p11), ECM (p13) Time: 4E-3 (1.5 MIP-days) Name: Peter L. Montgomery Recd: April 10, 1991 --------------------------------------------------------------- p(12611) Factors 2 * 2 * 2 * 2 * 2 * 3 * 11 * 101 * 96709763 * 1514792739700340579 * 433701589282443250284073665222992621072759 * 212640026599118244131537258545647041806161917443 Date: March 18, 1992 Method: ppmpqs Time: approximately 1.5 mips years Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: March 18, 1992 --------------------------------------------------------------- p(12613) Factors: 3 * 17 * 17 * 32406862466275137473 * 779398415154799952391053 * 67310090859066596164296039455816398361753431990527759346621101433313859211 Date: 2 July 1991 Method: TD, ECM (p20, p24), Miller-Rabin for primality test. Time: 0.06 Name: Paul C Leyland Recd: July 2, 1991 --------------------------------------------------------------- p(12619) Factors: 5 * 7 * 11 * 11130391 * 116417082396700630241817752930659286408976224341 * 3162685651642311510403764149367766571485488439616147145380755097 Date: June 6, 1994 Method: trial division, ecm, ppmpqs (two largest factors) Time: approximately 90 mips years Name: Magnus Y Alvestad, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: June 7, 1994 --------------------------------------------------------------- p(12637) Factors 2 * 237184486811 * 8615421325897 * 11680878898193258195112511 * 40530137281935054736125555537271704065808465399105100474340231927714293 Date: July 12, 1992 Method: ppmpqs Time: 25 hours on 7/16 of a 16K MasPar Name: Arjen K * Lenstra Email: lenstra@bellcore.com Recd: July 12, 1992 --------------------------------------------------------------- p(12641) Factors 2 * 2 * 3 * 11 * 43 * 4760620283413 * 2045268825485729 * 98946239971630664767315090208528869 * 370230081969849374943324000159556445094140850166923041 Date: March 11, 1992 Method: ppmpqs Time: approximately 1.5 mips years Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: March 11, 1992 --------------------------------------------------------------- p(12653) Factors: 2 * 1513000711 * PRP111 Method: P-1 Time: 1E-5 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(12659) Factors: 3 * 3 * 5 * 1951043 * 1026549071 * 2197337873442586687826471 * 289762272946017413997617623 * 43256914355008463657591724042578680832393873426534359 Date: 1 June 1992 Method: TD, rho (p7), P-1 (p10), ECM (p27), PPMPQS (p25, p53) Time: 0.3 (0.15 ECM, 0.15 PPMPQS) Name: Peter L Montgomery & Paul C Leyland Recd: June 1, 1992 --------------------------------------------------------------- p(12671) Factors 2 * 2 * 2 * 2 * 3 * 3 * 5 * 7 * 71 * 905641241521 * 6143823609229 * 7143159618348663120993977412277 * 199922514388135470543069194289336236179597267054641430746941 Date: March 24, 1992 Method: ppmpqs Time: approximately 1.5 mips years Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: March 24, 1992 --------------------------------------------------------------- p(12689) Factors: 5 * 5 * 7 * 7 * 11 * 97 * 2614811 * 159544983646024084980283 * PRP85 Date: June 5, 1991 Method: ECM (p24 - first limit 60000) Time: 0.04 (2 MIP-weeks) Name: Peter L. Montgomery Recd: June 5, 1991 --------------------------------------------------------------- p(12697) Factors: 2 * 11 * 359 * 2116582681 * 23220035731 * 1891139038889 * 3714146892413 * 285098635570158761163799625713 * PRP43 Date: May 16, 1991 Method: P-1 (p10), ECM (p11, p13, p13 - all same curve), ppmpqs (p31, p43) Time: 0.02 for ECM; 0.04 for ppmpqs Name: Peter L. Montgomery and Arjen K. Lenstra Recd: May 16, 1991 --------------------------------------------------------------- p(12703) Factors: 2 * 2 * 7 * 384681499 * 877352565838651368981334047734459846838893 * 432069726123385574679199534102692022709577701218383792866052923801749 Date: June 19, 1994 Method: trial division, ppmpqs (two largest factors) Time: 150 mips years Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: June 19, 1994 --------------------------------------------------------------- p(12713) Factors: 2 * 2 * 2 * 2 * 2 * 2 * 53 * 97 * 46975607001788329 * 85369426660324360015061 * 3464611011666063838642222606815086015217633274276859443917126206854039053971 Date: May 10, 1992 Method: TD, ECM (using LIPS): p17, p23, restp76 Time: ECM ca. 2 hours on 6 SUN-SPARC ELC 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 10, 1992 --------------------------------------------------------------- p(12721) Factors: 37028323 * 184568033054000771292990753205685513379361076458604175269 * 732163549995525858189178388925640646540209205555028549431 Date: July 19, 1994 Method: trial division, ppmpqs (two largest factors) Time: approximately 250 mips years Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: July 19, 1994 --------------------------------------------------------------- p(12739) Factors: 5 * 144657353 * 183503603 * 71933616830741 * PRP90 Date: April 10, 1991 Method: P-1, Pollard Rho (two p9), ECM (p14) Time: 4E-3 (1.5 MIP-days) Name: Peter L. Montgomery Recd: April 10, 1991 --------------------------------------------------------------- p(12743) Factors: 2 * 67 * 47868042067232438079470228363119699785186367552828845322612353995678833092562838582377186226800597278698563919169081127 Date: 20 March 1991 Method: TD + Rabin for primality test. Time: 1e-7 Name: Paul C Leyland Recd: March 20, 1991 --------------------------------------------------------------- p(12757) Factors: 2 * 2 * 41 * 3592492056359 * 27932464272846256121 * 2355333206860838696568647 * PRP63 Date: August 18, 1991 Method: P-1 (p13), ECM (p20, p25 - latter with first limit 300000) Time: 0.07 Name: Paul C Leyland & Peter L. Montgomery Recd: August 18, 1991 --------------------------------------------------------------- p(12763) Factors: 3 * 37 * 101 * 167 * 293 * 203751077 * 13854573306571 * 23265956734843763813 * 80223457947653551057 * PRP52 Date: May 16, 1991 Method: Pollard Rho (p9), ECM (p14, second p20), ppmpqs (first p20, p52) Time: 0.02 for ECM; 0.03 for ppmpqs Name: Peter L. Montgomery and Arjen K. Lenstra Recd: May 16, 1991 --------------------------------------------------------------- p(12781) Factors: 2 * 2 * 3 * 962681 * 521330893 * PRP106 Method: Pollard Rho Time: 4E-5 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(12791) Factors 3 * 83 * 863 * 10067998587548093 * 327259099975265360454182813909 * 15563170386587985449713409946346211263923523652961534151039158325718653 Date: June 17, 1992 Method: ecm Time: 9 hours on 16K MasPar Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: June 17, 1992 --------------------------------------------------------------- p(12799) Factors: 5 * 5 * 7 * 11 * 11 * 8104521211 * 13128733221355694775571254756883 * 5351706992637543639600995842161944565596440138557733953409551176063665235399 Date: March 24, 1993 Method: TD, ECM (p=1689437 in 2nd phase); primality with ECPP Time: 92348s on an HP 710 Name: Reynald Lercier, Francois Morain Address: LIX. Ecole Polytechnique, F-91128 Palaiseau Cedex FRANCE Email: lercier@polytechnique.fr or morain@polytechnique.fr phone: +33 1 69 33 45 89 Recd: March 24, 1993 --------------------------------------------------------------- p(12809) Factors: 5 * 617 * 3037 * 1744256211209042546273 * 2952279194058851776419881807 * 279695029697461358980218857162244443007567224776411636345683111791 Date: Mar 6, 1992 Method: TD, ECM: p22, p28 Time: ca. 30 hours on 21 Sun-Sparc1 Name: Franz-Dieter Berger, Johannes Buchmann Adress: University of Saarland - Informatik -, Im Stadtwald, 6600 Saarbruecken -Germany- email: fberger@cs.uni-sb.de Phone: germany 681 - 3024167 Recd: March 6, 1992 --------------------------------------------------------------- p(12821) Factors: 11 * 11 * 11 * 17 * 1297 * 3320752114540113277 * 228125010672899746478646291383 * 694728103391958546068401028493639036660657586151858393462338612699 Date: May 19, 1992 Method: TD, ECM : p19 , PPMPQS : p30, restp66 (using LIPS) Time: ECM ca. 2 hours SUN sparc ELC, PPMPQS ca. 15 mips years 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 19, 1992 --------------------------------------------------------------- p(12823) Factors 2 * 2 * 2 * 3 * 3 * 11 * 17 * 37 * 14305328251297 * 1177336489692379884283029820031777681501 * 1882727209516826708220658272789004774605070207920620532189957493 Date: January 6, 1993 Method: ppmpqs Time: five days on a 16K MasPar Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: January 6, 1993 --------------------------------------------------------------- p(12829) Factors: 3 * 5 * 7 * 7 * 761 * 8423 * 17294561 * PRP105 Method: P-1 Time: 1E-5 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(12841) Factors: 401 * 1597 * 30200396326457973075901227057680220454450056314009028310177271433375745330131265453591103975440372568383100736781229 Date: 20 March 1991 Method: TD + Rabin for primality test. Time: 1e-7 Name: Paul C Leyland Recd: March 20, 1991 --------------------------------------------------------------- p(12853) Factors: 53 * 479 * 442061 * PRP112 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(12889) Factors: 5 * 5 * 11 * 738487 * 12391987 * 293531653303787159071 * 237383613324126732350497 * PRP63 Date: June 5, 1991 Method: Pollard Rho (p8), ECM (p21, p24 - first limit 100000) Time: 0.04 (2 MIP-weeks) Name: Peter L. Montgomery Recd: June 5, 1991 --------------------------------------------------------------- p(12893) Factors: 11 * 53 * 257 * 29205758977 * 26616843922884337 * 7833076843147011343 * PRP71 Date: April 10, 1991 Method: P-1 (p11), ECM (p17, p19) Time: 4E-3 (1.5 MIP-days) Name: Peter L. Montgomery Recd: April 10, 1991 --------------------------------------------------------------- p(12899) Factors: 2 * 2 * 5 * 5 * 7 * 7 * 7 * 473203 * 579351571 * 7944025919016592075603 * PRP81 Date: May 16, 1991 Method: Pollard Rho (p9), ECM (p22) Time: 0.02 Name: Peter L. Montgomery Recd: May 16, 1991 --------------------------------------------------------------- p(12907) Factors: 2 * 2 * 2 * 2 * 2 * 2 * 2 * 269 * 2707 * 60077 * PRP109 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(12911) Factors: 56048449 * 81773368015478743 * 301691627870053511 * PRP80 Date: May 2, 1991 Method: Pollard Rho (p8), ECM (p17), P+-1 (p18) Time: 0.02 Name: Peter L. Montgomery Recd: May 2, 1991 --------------------------------------------------------------- p(12917) Factors: 5 * 9077236265061834418813970894430792283717349401628718261114869520045063815264624061912818402366205175398451046557130015311 Date: 20 March 1991 Method: TD + Rabin for primality test. Time: 1e-7 Name: Paul C Leyland Recd: March 20, 1991 --------------------------------------------------------------- p(12919) Factors: 3 * 5 * 5 * 8779 * 70493924220686269162386353415840697683940184913672639841351466978641859332565889448299527777897193243602215164246007 Date: 20 March 1991 Method: TD + Rabin for primality test. Time: 1e-7 Name: Paul C Leyland Recd: March 20, 1991 --------------------------------------------------------------- p(12923) Factors 2 * 2 * 3 * 2050288952287437679214191559 * 1973004833573630592177839286329817224910403122473848484368648851840420096292773687656686953397 Date: July 2, 1992 Method: ecm Time: 2 hours on 16K MasPar Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: July 2, 1992 --------------------------------------------------------------- p(12941) Factors: 7 * 839 * 9411469 * 71054208851576396045572708909150104654602036279325383 * 15120959174418186998123264474185551665361986275721722526719 Date: May 18, 1994 Method: trial division, ppmpqs (two largest factors) Time: approximately 100 mips years Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: May 18, 1994 --------------------------------------------------------------- p(12953) Factors: 2 * 3 * 11 * 67 * 293464309 * PRP110 Method: Pollard Rho Time: 6E-5 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(12959) Factors 5 * 29 * 523 * 1373 * 14221 * 222191933 * 11629946643726178913509943483 * 18985053879491392307658559682173407849952389186581418319715388966375108197 Date: May 30, 1992 Method: ecm Time: 6 hours on 16K MasPar Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: May 30, 1992 --------------------------------------------------------------- p(12967) Factors: 2 * 3 * 5 * 547 * 356467 * 2807519477556590962477214847706183313598465653 * 4837352812186157926989155058901189194007669347731571127331907647117 Date: August 21, 1994 Method: trial division, ppmpqs (two largest factors) Time: approximately 250 mips years Name: Michael Graff, Arjen K. Lenstra, Paul Leyland Email: lenstra@bellcore.com Recd: August 22, 1994 --------------------------------------------------------------- p(12973) Factors 26527927739771 * 98763461219823199 * 565478416098516797436873358844081 * 57343957753718285624911092784095386334986098404859580752343 Date: March 27, 1992 Method: ppmpqs Time: approximately 1.5 mips years Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: March 27, 1992 --------------------------------------------------------------- p(12979) Factors: 2 * 5 * 5 * 500677 * 2851921 * PRP109 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(12983) Factors: 7 * 7 * 41 * 125539861368353 * 10108985665844333 * PRP89 Date: April 10, 1991 Method: ECM (p15, p17) Time: 4E-3 (1.5 MIP-days) Name: Peter L. Montgomery Recd: April 10, 1991 --------------------------------------------------------------- p(13001) Factors 5 * 5 * 368171 * 1221466780012876093 * 22964012559072717153039281912648226463673 * 449992503404897472321590079805632060183661540411258106677 Date: August 7, 1992 Method: ppmpqs Time: 38 hours on 7/16 of a 16K MasPar Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: August 7, 1992 --------------------------------------------------------------- p(13003) Factors: 3 * 149069 * 15181361453 * 199105725616982929 * PRP89 Date: April 10, 1991 Method: P-1 (p11), ECM (p18) Time: 4E-3 (1.5 MIP-days) Name: Peter L. Montgomery Recd: April 10, 1991 --------------------------------------------------------------- p(13007) Factors: 2 * 2 * 166110053 * 727908496085657 * 40897089665887671858787 * PRP76 Date: April 21, 1991 Method: P-1 (p9), ECM (p15, p23 - first limit 30000) Time: 8E-3 (3 MIP days) Name: Peter L. Montgomery Recd: April 21, 1991 --------------------------------------------------------------- p(13009) Factors: 5 * 5 * 7 * 2687 * 100801 * 549193620853879393519 * 2131483685294940573083 * P70 Date: 10 July 1991 Method: TD, ECM (p21, p22), Miller-Rabin for primality test. Time: 0.06 Name: Paul C Leyland & Peter L Montgomery Recd: July 10, 1991 --------------------------------------------------------------- p(13033) Factors: 2 * 2 * 2 * 2 * 3 * 23 * 1613 * 3659 * 152108136106320639409061 * PRP90 Date: April 17, 1991 Method: ECM (p24 - first limit 200000) Time: 6E-3 (2 MIP-days) Name: Peter L. Montgomery Recd: April 16, 1991 --------------------------------------------------------------- p(13037) Factors 92899 * 3635740013 * 12132266175142779749327 * 36908755445038952725099044721 * 1148130458074465883100670336212627386585219958596087526403 Date: January 21, 1992 Method: ppmpqs Time: approximately 1.3 mips years Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: January 21, 1992 --------------------------------------------------------------- p(13043) Factors: 13 * 661 * 21606712412472931921473586274016665728514469695666677228129266262058644219625285003495741962708120280172440362043577517 Date: 20 March 1991 Method: TD + Rabin for primality test. Time: 1e-7 Name: Paul C Leyland Recd: March 20, 1991 --------------------------------------------------------------- p(13049) Factors 2 * 5 * 5 * 7 * 61 * 67 * 857407 * 2452732507552753 * 279107561073444266255433610416915566813879 * 236435368490627990337497672708911506705000855140882257 Date: July 7, 1992 Method: ppmpqs Time: 20 hours on 7/16 of a 16K MasPar Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: July 7, 1992 --------------------------------------------------------------- p(13063) Factors 2 * 11 * 11 * 19 * 29 * 6203054791 * 89151847176782667799 * 45642472671660735408593193581 * 68945152633442186450184086658074299002280880467152030215641 Date: January 24 1992 Method: ppmpqs Time: approximately 1.6 mips years Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: January 24, 1992 --------------------------------------------------------------- p(13093) Factors 139 * 138909397356030913 * 443204192453850842233 * 5783529494306817885814256066370827 * 6548745760461799035608041231778316641102687615863 Date: December 12, 1991 Method: ppmpqs Time: short Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: December 13, 1991 --------------------------------------------------------------- p(13099) Factors: 5 * 5 * 5 * 5 * 131 * 30588713 * PRP111 Method: P-1 Time: 1E-6 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(13103) Factors: 3 * 5 * 7 * 3391 * 1568706984029913660809 * P96 Date: 10 July 1991 Method: TD, ECM (p22), Miller-Rabin for primality test. Time: 0.03 Name: Paul C Leyland Recd: July 10, 1991 --------------------------------------------------------------- p(13109) Factors 5 * 7 * 13 * 29 * 102433 * 206838539 * 4869388300308987880450672075601 * 23290515314953459877898426611202169 * 12215180584697234019742454010777268130089 Date: August 4, 1993 Method: trial division, ecm (9 digit factor), ppmpqs (three largest factors) Time: a few secs for trial division and ecm, six days on 16K MasPar for ppmpqs Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: August 4, 1993 --------------------------------------------------------------- p(13121) Factors: 2 * 2 * 3 * 3 * 3 * 19 * 215687816817382071241569285468189538211348234239030037485041763743935423851151447489683188459530914297555954276651883203 Date: 20 March 1991 Method: TD + Rabin for primality test. Time: 1e-7 Name: Paul C Leyland Recd: March 20, 1991 --------------------------------------------------------------- p(13127) Factors: 3 * 5 * 97 * 17180311 * 443689489 * PRP104 Method: Pollard Rho Time: 3E-5 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(13147) Factors: 2 * 3 * 3 * 157 * 3539 * 28607 * 40177 * 93173887455601660730944912165909143689 * 551715375443801557275604355552781691721456916846627642968313147676037 Date: September 15, 1993 Method: trial division, ppmpqs (two largest factors) Time: a few secs for TD, 1.5 month on idle time of ~30 workstations for QS Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: September 15, 1993 --------------------------------------------------------------- p(13151) Factors: 7 * 7 * 11 * 31 * 511800083 * 348222905497 * 767187068217022780353254361527 * 270396171425322763671726076815915508926007320499368973202844659478451 Date: July 26, 1992 Method: TD, ECM (using LIPS): p9, p12, p30, restp69 Time: 4.5 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: July 27, 1992 --------------------------------------------------------------- p(13159) Factors: 2 * 5 * 241 * 8123 * 12466032547 * 6377158732117216559 * 152836988283502644334459 * PRP64 Date: April 21, 1991 Method: ECM (p11, p19, p24 -- first limit 30000) Time: 8E-3 (3 MIP days) Name: Peter L. Montgomery Recd: April 21, 1991 --------------------------------------------------------------- p(13163) Factors: 43 * 53 * 33105181 * 4867344752358925831 * 726880039609158885988563379035179130623 * 2644183996925387194826977949724191903493105429503969453 Method: TD, ECM : p8 p19 , PPMPQS : p39, restp55 (using LIPS) Time: ECM ca. 22 mips hours , 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: June 15, 1992 --------------------------------------------------------------- p(13171) Factors: 2 * 2 * 7 * 1871 * 5467135708383335903092891092416282702670639197573477 * 2693178626463799175226134527173162372360502737088674714323536124533 Date: November 26, 1994 Method: trial division, gnfs Time: approximately 250 mips years Name: Scott Contini, Bruce Dodson, Arjen K. Lenstra, Peter Montgomery Email: lenstra@bellcore.com Recd: November 27, 1994 --------------------------------------------------------------- p(13177) Factors: 7 * 109 * 601 * 5941507747630250069842663241 * 341860221895885142884919344987979953 * 885181773184947734545903051440992028495138220211342939 Date: Apr 14, 1992 Method: TD, ECM: p28, PMPQS: p36 (using LINDA) Time: ECM ca. 50 days on a Sun-Sparc1; PMPQS ca. 90 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 15, 1992 --------------------------------------------------------------- p(13183) Factors: 2 * 11 * 389 * 12523153 * 6846629530160084499061770536857 * 1200956433042721599643317254497826322385588876145719015757661386462186015140738633 Date: May 29, 1992 Method: TD, ECM (using LIPS) : p8, p31, restp 82; Time: 1.4 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: May 29, 1992 --------------------------------------------------------------- p(13187) Factors: 3 * 3975893426887033 * 22417372082311307 * PRP91 Date: April 21, 1991 Method: ECM (p16, p17) Time: 8E-3 (3 MIP days) Name: Peter L. Montgomery Recd: April 21, 1991 --------------------------------------------------------------- p(13217) Factors: 11 * 61 * 505190731 * 4033868513732607354560220658313873908858393 * 939527258558367243342170812539145249734089989314647321488067561405963 Date: October 22, 1994 Method: trial division, ecm, ppmpqs (two largest factors) Time: 200 mips years Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: October 22, 1994 --------------------------------------------------------------- p(13219) Factors: 5 * 1069 * 27043 * 74388388897931309 * 34459498755672552549916893779 * 3955403431122074799301058522285893 * 896242542139138848445458071586959663 Date:September 2, 1992 Method: TD, ECM : p17 , PPMPQS :p29,p34 restp36 (using LIPS) Time: ECM ca. 14 mips hours , PPMPQS ca. 18 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: September 2, 1992 --------------------------------------------------------------- p(13229) Factors 5 * 5 * 5 * 59 * 191 * 22651 * 923156929 * 18875723036993 * 322647951706072786194208575535997 * 8179964572213370730647808361641547847389257035272156997551 Date: April 2, 1992 Method: ppmpqs Time: approximately 1.5 mips years Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: April 2, 1992 --------------------------------------------------------------- p(13241) Factors: 2 * 3 * 1851163 * 60405744770525862707 * 5384722830853754953778438678737 * 463886728670551027480647886515193102239864712713850747783857279491 Date:July 21, 1992 Method: TD, ECM : p7 p20 , PPMPQS :p31 restp66 (using LIPS) Time: ECM ca. 10 mips days , 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: July 21, 1992 --------------------------------------------------------------- p(13249) Factors: 2 * 5 * 5 * 5 * 7 * 7 * 137 * 151 * 92461 * 394101927115597 * 490574557484617827079 * PRP75 Date: June 5, 1991 Method: ECM (p15, p21) Time: 0.04 (2 MIP-weeks) Name: Peter L. Montgomery Recd: June 5, 1991 --------------------------------------------------------------- p(13259) Factors: 3 * 3 * 3 * 3 * 3 * 3 * 5 * 97 * 5923 * 1152974459211011500192387953697 * 847092671317167108963727600200661406575197782706105435941829181560276804243538657337 Date:September 29, 1992 Method: TD, ECM : p31 restp84 (using LIPS) Time: ECM ca. 1.25 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 29, 1992 --------------------------------------------------------------- p(13267) Factors 2 * 2 * 8053 * 1884923857 * 5047059190757915588227 * 17054592869315701543960179065398906690043329 * 427564342314425971340146857444110784041545457 Date: January 26, 1992 Method: ppmpqs Time: approximately 1.6 mips years Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: January 26, 1992 --------------------------------------------------------------- p(13291) Factors: 2 * 2 * 7 * 6123797 * 2688137891 * 772413772358154562007 * PRP85 Date: April 10, 1991 Method: P-1 (p10), ECM (p21) Time: 4E-3 (1.5 MIP-days) Name: Peter L. Montgomery Recd: April 10, 1991 --------------------------------------------------------------- p(13297) Factors: 61 * 2095229 * 2907771809 * 2782697913612269 * 1019845567755712603 * PRP73 Date: April 25, 1991 Method: P-1 (p10), ECM (p16, p19) Time: 0.01 Name: Peter L. Montgomery Recd: April 25, 1991 --------------------------------------------------------------- p(13309) Factors: 2 * 2 * 5 * 1583 * 12007 * 9350227470610795061697958039977613910615403997443243389535589976821996877618086302418664440573585458970707889511837 Date: 20 March 1991 Method: TD + Rabin for primality test. Time: 1e-7 Name: Paul C Leyland Address: OUCS, 13 Banbury Road, Oxford, OX2 6NN, U.K. Email: pcl@convex.oxford.ac.uk Phone: +44-865-273200 Recd: March 20, 1991 --------------------------------------------------------------- p(13313) Factors: 5325373143221 * 28561033812764998451017 * 24424447597125905177733934805575772150377025726556044953750502729074402803678110474949071 Date: May 23, 1991 Method: ECM Time: 0.0089 Name: Wolfgang Niebuhr Email: rz30120@iris.rrz.uni-hamburg.de Recd: May 23, 1991 --------------------------------------------------------------- p(13327) Factors: 2 * 7 * 11 * 19 * 41 * 127 * 2543129 * 23994584868649296901330386181079088910237 * 4663549354987309858841189756089540459695962504466567826590452927879563 Date: July 17, 1993 Method: ecm (c111 = p41*p70, first limit 2*10^6, 200th curve) Name: Bruce Dodson, Matt Fante Email: bad0@lehigh.edu Recd: July 18, 1993 ___________________________________________________________________________ p(13331) Factors: 3 * 13 * 1399 * 5496581 * 35904445391 * PRP102 Method: P-1 Time: 5E-5 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(13337) Factors: 3 * 5 * 7193 * 12829 * 15059264365011028539037 * 232261646279430168596284850488870494093558235664485913550531538859496397373414126057031984617 Date: 12 July 1991 Method: TD, ECM (p23), Miller-Rabin for primality test. Time: 0.03 Name: Paul C Leyland Recd: July 12, 1991 --------------------------------------------------------------- p(13339) Factors 2 * 2 * 5 * 1171 * 91090903 * 1770995441 * 315325586156255452253841556019593 * 4154490234994050305510770647356660284679700074992523957844162593224021 Date: February 1, 1993 Method: ppmpqs Time: four days on a 16K MasPar Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: February 2, 1993 --------------------------------------------------------------- p(13367) Factors: 2 * 2885353 * 1481500636501097213374213 * PRP93 Date: December 31, 1991 Method: ECM (p25 - first limit 300000) Time: 0.12 Name: Peter L. Montgomery Recd: December 31, 1991 --------------------------------------------------------------- p(13381) Factors 2 * 3 * 47 * 1049 * 22777 * 1577623 * 57156181 * 3437337052415337165853738273646204264099621551 * 3765141198424382770250782790042396235012597993597169673 Date: January 20, 1993 Method: ppmpqs Time: three days on a 16K MasPar Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: January 20, 1993 --------------------------------------------------------------- p(13397) Factors: 3 * 5 * 5 * 89 * 313 * 350983 * 695604105340599005704298063 * 18384392922076202482950809601754673497571715117268285213598781151849340320541207151179 Date: July 31, 1992 Method: TD, ECM (using LIPS): p27, restp86 Time: 3.8 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 1, 1992 --------------------------------------------------------------- p(13399) Factors: 2 * 2 * 3 * 5 * 5 * 7 * 7 * 17 * 41 * 587 * 15233 * 32587 * 162584096023 * 1294390242988483139 * 46940473608546508838307724057906741 * 325045311205771010924542296845265725751661 Date: June 16, 1991 Method: ECM (p12, p19), ppmpqs (p35, p42) Time: 0.04 (2 MIP-weeks) for ECM; 0.1 for ppmpqs Name: Peter L. Montgomery and Arjen K. Lenstra Recd: June 16, 1991 ---------------------------------------------------------------