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 QAA00353 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 PAA23160; Wed, 30 Jan 2002 15:54:44 -0500 (EST) Date: Wed, 30 Jan 2002 15:54:44 -0500 (EST) Message-Id: <200201302054.PAA23160@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 100 digits - 104 digits ----------------------- As of March 31, 1992 19:00 PST p(8681) Factors: 3 * 4021 * 7876147 * 76181269 * 2440629475228334940216899 * 58331788122507201750389880542953362595615248413576407801 Date: March 18, 1991 Method: ecm Time: 50 minutes Dec 5000. Name: Arjen K. Lenstra Address: Room 2Q334, Bellcore. 445 South Street, Morristown, NJ 07960, USA Email: lenstra@flash.bellcore.com phone: 201 829 4878 Recd: March 18, 1991 --------------------------------------------------------------- p(8689) Factors: 2 * 5 * 673 * 1143078589806090339591369179078129889743 * 149399514473251940620241847276368827652416421484862501723 Date: March 27, 1991 Method: ppmpqs Time: approximately 3 mips-years Name: Arjen K. Lenstra Recd: March 27, 1991 --------------------------------------------------------------- p(8693) Factors: 2 * 3 * 175633 * 1151815136825214165524530315445508174783994243427528598464260135369597736810952664559628405091 Date: March 18, 1991 Method: ecm Time: 5 seconds, Dec 5000 Name: Arjen K. Lenstra Recd: March 18, 1991 --------------------------------------------------------------- p(8699) Factors: 2 * 2 * 2 * 5 * 5 * 5 * 7 * 71 * 1848954572341 * 2094020092761217 * 746502025735578955935173035327 * 917033640467756811621702908230878271 Date: March 18, 1991 Method: ecm Time: 1.5 hours on Dec 5000 Name: Arjen K. Lenstra Recd: March 18, 1991 --------------------------------------------------------------- p(8707) Factors: 2 * 11 * 11 * 11 * 19 * 41 * 983 * 1258889 * 572480205254811401956684533108267699776269611099284097880449309997324175971173686161 Date: March 18, 1991 Method: ecm Time: 5 seconds, Dec 5000 Name: Arjen K. Lenstra Recd: March 18, 1991 --------------------------------------------------------------- p(8713) Factors: 7 * 7 * 13 * 26399 * 172093 * 221083 * 53762188290395785697711 * 46348510967754858095866287960815715604986372013234247103151 Date: March 30, 1991 Method: ECM with n^k stage Time: 0.1 Name: Richard E. Crandall Address: NeXT Computer, Inc. Recd: March 30, 1991 --------------------------------------------------------------- p(8719) Factors: 3 * 3 * 5 * 7 * 7 * 17 * PRP95 Date: March 18, 1991 Method: TD Name: Peter L. Montgomery Address: Department of Mathematics, University of California, Los Angeles CA 90024-1555 (If I win, make check out to the Dept.) Email: pmontgom@math.ucla.edu Phone: (213) 826-9498 (home) Recd: March 18, 1991 --------------------------------------------------------------- p(8731) Factors: 2 * 317 * 122395061 * 3000663654912884511489671 * 8748805730622956467052022902731963797645781578759147398898547793 Date: March 30, 1991 Method: ECM with n^k stage Time: 0.1 Name: Richard E. Crandall Address: NeXT Computer, Inc. Recd: March 30, 1991 --------------------------------------------------------------- p(8737) Factors: 2 * 5 * 37 * 3746018803 * PRP88 Date: March 18, 1991 Method: P-1 Time: 2E-6 (one minute) Name: Peter L. Montgomery Recd: March 18, 1991 --------------------------------------------------------------- p(8741) Factors: 2 * 3 * 7 * 7 * 79 * 103 * 39827 * PRP89 Date: March 18, 1991 Method: TD Name: Peter L. Montgomery Recd: March 18, 1991 --------------------------------------------------------------- p(8747) Factors 3 * 3 * 3 * 3 * 19 * 47 * 107 * 959723 * 12668809 * 527483243747 * 2766241052178449020939089802424353 * 18444179206672000602028059949173331 Date: April 1, 1991 Method: ecm, ppmpqs Time: half a day on an hp?? workstation Name: Arjen K. Lenstra Recd: April 1, 1991 --------------------------------------------------------------- p(8753) Factors 97 * 56821 * 31778592345076460757672140253203 * 15688281471908083493051917135379704975077046669849221698142341 Date: April 5, 1991 Method: ecm, ppmpqs Time: approximately 1.5 mips-years Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: April 5, 1991 --------------------------------------------------------------- p(8761) Factors 7 * 19 * 90144693526312635926552491 * 918017281605641240857901369796997 * 278336480331598929639168804757861921931 Date: April 27, 1991 Method: ppmpqs with low large prime bound (need much less disk space) Time: 7 mips-years (slower than usual, because of low large prime bound) Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: April 27, 1991 --------------------------------------------------------------- p(8779) Factors: 3 * 3 * 5 * 5 * 53 * 71 * 113 * 193 * 5243593 * 163602041 * 34686569663075243 * 7017245623489346317458707 * 1014580089121554043443445172665433 Date: March 28, 1991 Method: ECM with n^k stage Time: 0.1 Name: Richard E. Crandall Address: NeXT Computer, Inc. Recd: March 29, 1991 ----------------------------------------------------------------- p(8783) Factors: 2 * 2 * 7 * 11 * 13 * 23 * 257989 * 2143150064929 * 6852804885700358339 * 1326170738762249975955443 * 8925244539374142003719754171161377 Date: March 27, 1991 Method: ECM with n^k stage Time: 0.1 Name: Richard E. Crandall Address: NeXT Computer, Inc. Recd: March 27, 1991 ----------------------------------------------------------------- p(8803) Factors: 13 * 337021 * 7723297 * 89852986089191869073807 * 1781736837837650739930184975275647274647295227193291443732091967 Date: March 29, 1991 Method: ECM with n^k stage Time: 0.1 Name: Richard E. Crandall Address: NeXT Computer, Inc. Recd: March 29, 1991 ----------------------------------------------------------------- p(8807) Factors: 2 * 2 * 1999 * 4987 * 44263 * 5920463 * PRP81 Date: March 18, 1991 Method: P-1 Time: 2E-6 (one minute) Name: Peter L. Montgomery Recd: March 18, 1991 --------------------------------------------------------------- p(8819) Factors: 3 * 5 * 204713564521 * 136492076253506276209639 * 16054274839907010809036610261886433689509027650826652240716495661 Date: March 20, 1991 Method: ECM Time: 0.01 MIP-years Name: Peter L. Montgomery Recd: March 20, 1991 --------------------------------------------------------------- p(8821) Factors 2 * 1811 * 27449753 * 301481423 * 14729899474308384501308848487 * 15658582335013262461633533840000435320540303681823559 Date: April 11, 1991 Method: ppmpqs Time: approximately 1/4 mips-years Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: April 11, 1991 --------------------------------------------------------------- p(8831) Factors: 2 * 3 * 7 * 23 * 47 * 1931 * 63749783 * 8676688723 * 393243373734037 * P60 Date: March 18, 1991 Method: PR + p-1 + ECM Time: 5E-6 (2.5 minutes) Name: Peter L. Montgomery Recd: March 18, 1991 --------------------------------------------------------------- p(8837) Factors: 2 * 2 * 2 * 6789705362692159 * 3404657627317677134449 * 4808710557165445579663543 * 9654245233332580696007895629693627041 Date: March 31, 1991 Method: ECM with n^k stage Time: 0.2 MIPS-YRS Name: Richard E. Crandall Address: NeXT Computer, Inc. Recd: March 31, 1991 --------------------------------------------------------------- p(8839) Factors: 2 * 3 * 5 * 7 * 7 * 11 * 40644710910545010790837 * p74 Date : 3/19/91 Method : ECM Time : <= 678 seconds Name: Bob Silverman Email: bs@linus.mitre.org Recd: March 19, 1991 --------------------------------------------------------------- p(8849) Factors: 2 * 5 * 5 * 5 * 3023 * 1510934364299 * p82 Date : 3/19/91 Method : ECM Time : <= 678 seconds Name: Bob Silverman Recd: March 19, 1991 --------------------------------------------------------------- p(8861) Factors: 2 * 2 * 2 * 2 * 2 * 7 * 11 * 398595966093547364057 * 31484005133950401793208434871959 * 384089155195177842393537100817857318586556743 Date: 22 April 1991 Method: TD, ECM (p21), PPMPQS (p32 and p45), Rabin for primality test. Time: 0.23 (84 MIPS days for PPMPQS, <1 MIPS day ECM) Name: Paul C Leyland & Peter L Montgomery Recd: April 22, 1991 --------------------------------------------------------------- p(8863) Factors: 2 * 2 * 3 * 22577438991369233 * 61046886756497636507 * 3539686821354477992659 * 208423802687853609615206027274984607802689 Date: April 3, 1991 Method: ECM with n^k stage Time: 0.2 Name: Richard E. Crandall Address: NeXT Computer, Inc. Recd: April 3, 1991 --------------------------------------------------------------- p(8867) Factors: 2 * 3 * 3 * 7 * 7 * p97 Date : 3/19/91 Method : ECM Time : <= 678 seconds Name: Bob Silverman Recd: March 19, 1991 --------------------------------------------------------------- p(8887) Factors: 89 * p99 Date : 3/19/91 Method : ECM Time : <= 678 seconds Name: Bob Silverman Recd: March 19, 1991 --------------------------------------------------------------- p(8893) Factors: 2 * 5 * 5 * 11 * 82879217 * 1332335527 * 1372390343848231577003994984623 * 219489793984011224773430233061260599386535205991501 Date: June 27, 1991 Method: ecm (phase 1 only) Name: Brandon Dixon, Arjen K. Lenstra Time: 8 hours on 16K Maspar (approximately) Email: lenstra@flash.bellcore.com Recd: June 27, 1991 --------------------------------------------------------------- p(8923) Factors: 2 * 3 * 3 * 7 * 79 * 467 * 43664389 * 1947312954630495097208636068393836929 * 69346513437764545862655316516604160324208256480929 Date: August 11, 1991 Method: ppmpqs Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: August 11, 1991 --------------------------------------------------------------- p(8929) Factors: 5 * 7 * 1061 * 203846784649 * 644212039985573 * PRP70 Date: March 21, 1991 Method: P-1 (p12), ECM (p15) Time: 5E-4 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(8933) Factors: 2 * 7 * 13 * 29 * 31 * p96 Date : 3/19/91 Method : ECM Time : <= 678 seconds Name: Bob Silverman Recd: March 19, 1991 --------------------------------------------------------------- p(8941) Factors: 2 * 2 * 2 * 3 * 3 * 13 * PRP98 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(8951) Factors: 3 * 5 * 7 * 7 * 13 * 12613 * 1466948975113 * 6143231575204284966536207 * 28869835524514493451473989 * 1274135324336507524445122179421 Date: April 3, 1991 Method: ECM with n^k stage Time: 0.2 Name: Richard E. Crandall Address: NeXT Computer, Inc. Recd: April 3, 1991 --------------------------------------------------------------- p(8963) Factors: 13 * 23447 * p96 Date : 3/19/91 Method : ECM Time : <= 678 seconds Name: Bob Silverman Recd: March 19, 1991 --------------------------------------------------------------- p(8969) Factors 5 * 7 * 277 * 1998089 * 18326685979020718409965723733 * 143325556682856006986535218464076149008643405336212496764356759 Date: July 18, 1991 Method: ecm Name: Brandon Dixon, Arjen K. Lenstra Email: bdd@flash.bellcore.com Time: 6 hours on a 16K Maspar. Recd: July 19, 1991 --------------------------------------------------------------- p(8971) Factors 3 * 5 * 11 * 1409869 * 766187915083793684972768042389 * 293249926038388768625221576487312517380343082527454351838292043 Date: July 22, 1991 Method: ecm Name: Brandon Dixon, Arjen K. Lenstra Email: bdd@flash.bellcore.com Time: 7 hours on a 16K Maspar. Recd: July 22, 1991 --------------------------------------------------------------- p(8999) Factors: 5 * 5 * 5 * 29 * 647 * 89563 * 79477505123987820636949140280177933 * 4558640105620277004086945003662597189701259359240111787 Date: August 13, 1991 Method: ppmpqs Time: approximately 0.6 mips year Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: August 13, 1991 --------------------------------------------------------------- p(9001) Factors: 2 * 5 * 23 * 1399 * p96 Date : 3/19/91 Method : ECM Time : <= 678 seconds Name: Bob Silverman Recd: March 19, 1991 --------------------------------------------------------------- p(9007) Factors: 2 * 5 * 7 * 7 * 71 * 1870223 * 12638807 * 172765107143 * p72 Date : 3/19/91 Method : ECM Time : <= 678 seconds Name: Bob Silverman Email: bs@linus.mitre.org Recd: March 19, 1991 --------------------------------------------------------------- p(9011) Factors 2 * 2 * 2 * 3 * 107 * 337 * 3181 * 1643888786067972622263090287 * 19752341396492380946029737061157935663788830074373586192282746209 Date: July 3, 1991 Method: ecm Name: Brandon Dixon, Arjen K. Lenstra Email: bdd@flash.bellcore.com Time: 4 hours on a 16K Maspar. Recd: July 3, 1991 --------------------------------------------------------------- p(9013) Factors: 192551063 * 3670466333 * 105849257035560499163 * 1227335599909585945444439940541831171023527804268799944523353437 Date: April 15, 1991 Method: ECM Name: Wolfgang Niebuhr Address: Lisztstr. 6B, D-2000 Hamburg 50, Germany Email: rz30120@iris.rrz.uni-hamburg.de, RZ30120@DHHUNI4.BITNET Recd: April 15, 1991 --------------------------------------------------------------- p(9029) Factors: 3 * 3 * 5 * 11 * 863956278587 * p87 Date : 3/21/91 Method : ECM with cyclotomic ring deterministic primality test Name : Bob Silverman Email : bs@mitre.org Recd: March 21, 1991 --------------------------------------------------------------- p(9041) Factors: 2 * 2 * 11 * 79 * 103 * 23027 * PRP92 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(9043) Factors: 5 * 443 * 14511468527623 * 532484382376721742935179 * 8015922065361800188226182275485516906207950070779094043779207 Date: April 22, 1991 Method: ECM Time: approx. 0.044 Name: Wolfgang Niebuhr Email: rz30120@iris.rrz.uni-hamburg.de Recd: April 22, 1991 --------------------------------------------------------------- p(9049) Factors: 2 * 2 * 2 * 2 * 3 * 5 * 5 * 7 * 7 * 7680149 * 18997866618359 * 87760870466963566782277 * 62443972532292813105021451 * 3161936771404171036766644897 Date: April 10, 1991 Method: ECM (p14), ppmpqs (p23, p26, p28) Time: 4E-3 (1.5 MIP-days) for ECM; 0.1 for ppmpqs Name: Peter L. Montgomery and Arjen K. Lenstra Recd: April 10, 1991 --------------------------------------------------------------- p(9059) Factors: 2 * 2 * 3 * 5 * 5 * 5 * 5 * 11 * 19 * 367 * 48767 * 32465958883 * 6305268407334143579 * 248497399986817889093 * 119070074688620235984969338854527062761 Date: April 7, 1991 Method: ecm Time: 0.014 Name: Lambert E. Bright Address: 2137 S 48th St., Lincoln, NE 68506 Email: ucas004@unlvm.unl.edu Phone: (402) 488-7827 (home) Recd: April 8, 1991 --------------------------------------------------------------- p(9067) Factors: 2 * 2 * 2 * 7 * 19 * 61 * 3529 * 403412189 * 27539563952089480763728329584083 * PRP53 Date: June 16, 1991 Method: Pollard Rho (p9), ECM (p32 - as step 1 was near 1.7 million) Time: 0.05 (2.5 MIP-weeks) Name: Peter L. Montgomery Recd: June 16, 1991 --------------------------------------------------------------- p(9091) Factors: 2 * 2 * 2 * 2 * 2 * 3 * 7 * 13 * 233 * 1489 * 750323310449747717 * 1442939618671955303 * 162667586990793368411 * 488058909562896492161319055577015521 Date: April 7, 1991 Method: ecm Time: 0.019 Name: Lambert E. Bright Recd: April 8, 1991 --------------------------------------------------------------- p(9103) Factors: 2 * 5 * 11 * 57899 * 167356403 * 489008537 * 1031995099 * 2123938697 * 51721560131 * 9069597224690099 * 570478478428073617211563012577767 Date: March 22, 1991 Method: P-1, Pollard Rho (31 sec to find p9, p9, p10, p10), ECM (p11, p16) Time: 8E-4 Name: Peter L. Montgomery Recd: March 22, 1991 --------------------------------------------------------------- p(9109) Factors 2 * 2 * 5 * 13 * 197 * 12553 * 151880949165412407453382285259 * 41617717777950442167269493874999 * 81490928090038140087257494230599 Date: July 8, 1991 Method: ecm Name: Brandon Dixon, Arjen K. Lenstra Email: bdd@flash.bellcore.com Time: 8 hours on a 16K Maspar. Recd: July 9, 1991 --------------------------------------------------------------- p(9127) Factors: 59 * 59 * 1993 * 45268784051 * 8360114607591209363423040283 * 160323898342544588079885027063595884894059312695127551759 Date: 10 June 1991 Method: TD, ECM (p11, p28), Miller-Rabin for primality test. Time: 0.01 Name: Paul C Leyland Recd: June 10, 1991 --------------------------------------------------------------- p(9133) Factors: 2 * 2 * 2 * 2 * 7 * 7 * 11 * 334751 * p93 Date : 3/21/91 Method : ECM with cyclotomic ring deterministic primality test Name : Bob Silverman Recd: March 21, 1991 --------------------------------------------------------------- p(9137) Factors: 2 * 2 * 5 * 7 * 16927 * 586108583 * 14267510944670457707 * 241049530737932131626943211 * 100668381790008130836622009445939960228647 Date: 19 June 1991 Method: TD, P-1 (p9), ECM (p20), PPMPQS (p27, p42), Miller-Rabin for primality test. Time: 0.02 Name: Peter L Montgomery & Paul C Leyland Recd: June 19, 1991 --------------------------------------------------------------- p(9151) Factors 3 * 3 * 23 * 97 * 12265623791 * 3200650071166793508172179024407 * 734935759145480590015341550054349577172610169971546916407 Date: July 25, 1991 Method: ecm Name: Brandon Dixon, Arjen K. Lenstra Email: bdd@flash.bellcore.com Time: 10 hours on a 16K Maspar. Recd: July 26, 1991 --------------------------------------------------------------- p(9157) Factors 3 * 19 * 19 * 302621903237969018729097623933 * 1914418775935803380820393471675260664177607919579683706492517063249593 Date: August 20, 1991 Method: ecm Time: 10 hours on 16K Maspar Name: Brandon Dixon, Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: August 21, 1991 --------------------------------------------------------------- p(9161) Factors 7 * 7 * 7 * 7 * 11 * 11 * 11 * 8680318783155247604907943872209 * 23853453200718128576096793560254784009009598788981176135901892751 Date: August 21, 1991 Method: ecm Time: approximately 14 hours on 16K Maspar Name: Arjen K. Lenstra, Brandon Dixon Email: lenstra@flash.bellcore.com Recd: August 21, 1991 --------------------------------------------------------------- p(9173) Factors: 3 * 3 * 13 * 1459 * 1098023 * 1826819 * 2774873 * 816789439812089701732857808044986780423205329128839108644721918518204954524613 Date: 21 March 1991 Method: TD (to 32749) + ECM + Rabin for primality test. Time: 4e-6 Name: Paul C Leyland Recd: March 21, 1991 --------------------------------------------------------------- p(9181) Factors: 219898162130646160148443693777 * 3924800382658172928289787950434754475293955223976566423827198658411292291 Date: August 22, 1991 Method: ecm Time: 17 hours on 16K Maspar Name: Arjen K. Lenstra, Brandon Dixon Email: lenstra@flash.bellcore.com Recd: August 22, 1991 --------------------------------------------------------------- p(9187) Factors: 2 * 2 * 2 * 2 * 3 * 37 * 211534073 * 7257914604807833543 * 459729307694396052634753 * PRP48 Date: April 21, 1991 Method: P-1 (p9), ECM (p19), ppmpqs (p24, p48) Time: 0.02 (1 MIP week) for ECM; 0.01 for ppmpqs Name: Peter L. Montgomery and Arjen K. Lenstra Recd: April 21, 1991 --------------------------------------------------------------- p(9199) Factors: 2 * 5 * 5 * 5 * 173 * 44587397 * 64887779609 * 10444491910552876873 * PRP60 Date: April 10, 1991 Method: P-1 (p8), ECM (p11), ppmpqs (p20, p60) Time: 4E-3 (1.5 MIP-days) for P-1 and ECM; 0.2 (70 MIP-days) for ppmpqs. Name: Peter L. Montgomery and Arjen K. Lenstra Recd: April 10, 1991 --------------------------------------------------------------- p(9203) Factors: 7 * 7 * 6247537 * 9600346069 * 1933489941961 * p72 Date : 3/21/91 Method : ECM with cyclotomic ring deterministic primality test Name : Bob Silverman Recd: March 21, 1991 --------------------------------------------------------------- p(9209) Factors: 2 * 2 * 2 * 2 * 2 * 5 * 5 * 7523 * 132696919 * 320213359 * 1035754897 * 1464153496230971071 * 57341687614247032813247 * 56269024937091261589693766021 Date: April 17, 1991 Method: Pollard Rho + P-1 (two p9, p10), ECM (p19), ppmpqs (p24, p29) Time: 6E-3 (2 MIP-days) for ECM; 4E-4 for ppmpqs Name: Peter L. Montgomery and Arjen K. Lenstra Recd: April 16, 1991 --------------------------------------------------------------- p(9221) Factors: 2 * 2 * 5 * 7 * 167 * 20549 * 2532210926489 * 5043797363222530057 * 239076654824494307329242796853320980331758260513875997368991969 Date: April 21, 1991 Method: ecm Time: 0.008 Name: Lambert E. Bright Recd: April 21, 1991 --------------------------------------------------------------- p(9227) Factors: 2 * 71 * 383 * 4891247 * 117713851661177 * p77 Date : 3/21/91 Method : ECM with cyclotomic ring deterministic primality test Name : Bob Silverman Recd: March 21, 1991 --------------------------------------------------------------- p(9239) Factors: 5 * 7 * 31 * 53 * 733 * 8093807 * 10606963561106083109 * p69 Date : 3/21/91 Method : ECM with cyclotomic ring deterministic primality test Name : Bob Silverman Recd: March 21, 1991 --------------------------------------------------------------- p(9241) Factors: 3 * 5 * 7 * 11 * 80768562131 * 2278582481778684707 * 227052891273445775972509706961359 * 39611677969953772180427604855561942703 Date: April 25, 1991 Method: ECM (p11, p19), ppmpqs (p33, p37) Time: 0.1 for ECM and 0.01 for ppmpqs Name: Peter L. Montgomery and Arjen K. Lenstra Recd: April 25, 1991 --------------------------------------------------------------- p(9257) Factors 11 * 67659137267561761099 * 479862588922229114478375828740239 * 6614881559795215335615705035873352432778314585221 Date: August 22, 1991 Method: ecm, ppmpqs Time: approximately 0.15 mips year Name: Arjen K. Lenstra, Peter Montgomery Email: lenstra@flash.bellcore.com Recd: August 22, 1991 --------------------------------------------------------------- p(9277) Factors: 2 * 31 * 41 * 41 * 59 * 3089 * 35831 * 3597987329 * 584906600574469951173323639 * PRP52 Date: April 17, 1991 Method: P-1 (p10), ppmpqs (p27, p52) Time: 6E-3 (2 MIP-days) for ECM; 0.2 for ppmpqs Name: Peter L. Montgomery and Arjen K. Lenstra Recd: April 16, 1991 --------------------------------------------------------------- p(9281) Factors: 2 * 2 * 41 * 271 * p98 Date : 3/21/91 Method : ECM with cyclotomic ring deterministic primality test Name : Bob Silverman Recd: March 21, 1991 --------------------------------------------------------------- p(9283) Factors 29 * 46199 * 522450901870534295023885578406789293371741153 * 4758631966166533765950729466114501310404278930643993 Date: October 28, 1991 Method: ppmpqs Time: approximately 3 mips years Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: October 28, 1991 --------------------------------------------------------------- p(9293) Factors: 31 * 41 * 61 * 109 * 743059077184757 * 1309371968677576183351 * PRP60 Date: April 21, 1991 Method: ECM (p15, p22) Time: 8E-3 (3 MIP days) Name: Peter L. Montgomery Recd: April 21, 1991 --------------------------------------------------------------- p(9311) Factors: 3 * 31 * 37183818597717776705818099 * PRP76 Date: August 18, 1991 Method: ECM/FFT (p26 - first limit 300000) Time: 0.07 Name: Peter L. Montgomery Recd: August 18, 1991 --------------------------------------------------------------- p(9319) Factors 2 * 5 * 32488373 * 2591995102475502400629837151 * 40060404447367342033564893072823 * 158753641761525693094933062982727933 Date: August 24, 1991 Method: ecm, ppmpqs Time: approximately 0.03 mips year Name: Arjen K. Lenstra, Brandon Dixon Email: lenstra@flash.bellcore.com Recd: August 24, 1991 --------------------------------------------------------------- p(9323) Factors 2 * 11 * 1597039 * 249718201356461699625991 * 643434351430326061809018966802028378751414697264727825986430668101285769 Date: August 24, 1991 Method: ecm Time: approximately 1 hour on 16K Maspar Name: Arjen K. Lenstra, Brandon Dixon Email: lenstra@flash.bellcore.com Recd: August 24, 1991 --------------------------------------------------------------- p(9337) Factors 41 * 797 * 284413 * 3639067 * 27467204117557810227059 * 7307660392527236009363263080931113413684323247478966794700701887 Date: July 5, 1991 Method: ecm Name: Brandon Dixon, Arjen K. Lenstra Email: bdd@flash.bellcore.com Time: 1hr on a 16K Maspar. Recd: July 5, 1991 --------------------------------------------------------------- p(9341) Factors: 71597 * 88585051397 * 1216462885440097 * PRP72 Date: April 4, 1991 Method: ECM (p11, p16) Time: 3E-3 (one MIP-day) Name: Peter L. Montgomery Recd: April 4, 1991 --------------------------------------------------------------- p(9343) Factors 2 * 7 * 7 * 43 * 197 * 677 * 197887 * 12774355263733231696230142865099 * 5170962176068488111446502352970391817518430551997055166157 Date: July 5, 1991 Method: ecm Name: Brandon Dixon, Arjen K. Lenstra Email: bdd@flash.bellcore.com Time: 2hrs on a 16K Maspar. Recd: July 5, 1991 --------------------------------------------------------------- p(9349) Factors: 2 * 3 * 5 * 5 * 5 * 5 * 5 * 11 * 61 * 127 * 1149297726008550523 * 8617842041408096339 * 722541130809695098142167523 * 695260427725034032066571279161 Date: April 21, 1991 Method: ECM (two p19), ppmpqs (p28, p30) Time: 0.01 for ECM; 0.002 for ppmpqs Name: Peter L. Montgomery and Arjen K. Lenstra Recd: April 21, 1991 --------------------------------------------------------------- p(9371) Factors 7 * 41 * 232688725641250120483398653007467 * 158984264317542831101618791295987617366955041849863649862966065824979 Date: October 12, 1991 Method: ecm Time: 29 hours in 16K Maspar Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: October 12, 1991 --------------------------------------------------------------- p(9377) Factors: 2 * 3 * 41 * 5081 * 22324025885149 * 27644378497 * 6571659431 * p64 Date : 3/21/91 Method : ECM with cyclotomic ring deterministic primality test Name : Bob Silverman Recd: March 21, 1991 --------------------------------------------------------------- p(9391) Factors 165443 * 9790731321779586586087259650066793179 * 8523963917058689134908320449710703625384619463294129684945607 Date: January 6, 1992 Method: ppmpqs Time: approximately 4 MIPS year Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: January 6, 1992 --------------------------------------------------------------- p(9397) Factors 5 * 23 * 10549339 * 1795816322300450288211967757375577529016011 * 6856851588151564293739636066240906949266634974881197 Date: October 22, 1991 Method: ppmpqs Time: approximately 2.5 mips years Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: October 22, 1991 --------------------------------------------------------------- p(9403) Factors: 3 * 3 * 73 * 54469 * 3087978115628017897188161 * PRP72 Date: April 21, 1991 Method: P +- 1 (p25 - first limit 1000000) Time: 8E-3 (3 MIP days) Name: Peter L. Montgomery Recd: April 21, 1991 --------------------------------------------------------------- p(9413) Factors 2 * 5 * 7 * 17 * 2293 * 2347 * 3748977937787987857621186330343 * 767524356943095663111980261431242310861552784772131272044954457 Date: September 21, 1991 Method: ecm Time: 3 hours on 16K Maspar Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: September 21, 1991 --------------------------------------------------------------- p(9419) Factors: 3 * 5 * 11 * 181 * 4483 * 5280110107862769184377629 * 231779853528643426476492387151531 * 121670193011821332559214280413948030933 Date: 1 July 1991 Method: TD, ECM (p25), PPMPQS (p33, p39), Miller-Rabin for primality test. Time: 0.03 Name: Paul C Leyland Recd: July 1, 1991 --------------------------------------------------------------- p(9421) Factors: 3 * 5 * 7 * 286610365102452516647 * PRP81 Date: April 4, 1991 Method: ECM (p21) Time: 3E-3 (one MIP-day) Name: Peter L. Montgomery Recd: April 4, 1991 --------------------------------------------------------------- p(9431) Factors: 2 * 2 * 11 * 379877 * 301828621 * 255680231061834401 * PRP71 Date: March 21, 1991 Method: Pollard Rho (p9), ECM (p18) Time: 5E-4 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(9433) Factors: 3 * 3 * 11 * 11 * 29 * 283 * 174943 * 32873875280417 * p78 Date : 3/21/91 Method : ECM with cyclotomic ring deterministic primality test Name : Bob Silverman Recd: March 21, 1991 --------------------------------------------------------------- p(9437) Factors: 222363020679619532578423898977447405572633024277 * 113501532188549219942937978808170580066203223396451661731 Date: March 31, 1992 Method: ppmpqs Time: 9.5 days on 5/8 of a 16K MasPar Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: March 31, 1992 --------------------------------------------------------------- p(9439) Factors: 2 * 5 * 5 * 7 * 44718410522636480925123788579 * 1655331703249966369004743496781134427407035525369025024268020102155363939 Date: 12 June 1991 Method: TD, ECM (p29), Miller-Rabin for primality test. Time: 0.01 Name: Paul C Leyland Recd: June 10, 1991 --------------------------------------------------------------- p(9461) Factors: 2 * 5 * 5 * 7 * 71 * 109141 * 14666237 * 7321232770619 * 498327730422341 * 56508707193981619361947 * 4213466776895030642506464142425585829 Date: April 17, 1991 Method: ecm Time: 0.002 Name: Lambert E. Bright Recd: April 17, 1991 --------------------------------------------------------------- p(9463) Factors: 2 * 2 * 3 * 3019 * 113698961694089 * PRP85 Method: ECM Time: 1E-4 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(9467) Factors: 2 * 3 * 5 * 7 * 1979 * 16451 * 168278266477 * p83 Date : 3/21/91 Method : ECM with cyclotomic ring deterministic primality test Name : Bob Silverman Recd: March 21, 1991 --------------------------------------------------------------- p(9473) Factors 2 * 7 * 19 * 43 * 1905248728507820029892696093 * 1854951549941558853419813640709538717436324062576436043432439720410046921 Date: August 29, 1991 Method: ecm Time: approximately 10 hours on 16K Maspar Name: Arjen K. Lenstra, Brandon Dixon Email: lenstra@flash.bellcore.com Recd: August 29, 1991 --------------------------------------------------------------- p(9479) Factors 2 * 5 * 5 * 409 * 409 * 311667141367 * 210234628338067821360288451444939* 79777413461982312724457028179571110714199869859622397 Date: August 18, 1991 Method: ppmpqs Time: approximately 0.3 mips year Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: August 18, 1991 --------------------------------------------------------------- p(9491) Factors: 2 * 43 * 53 * 53 * 5381 * 555739 * 3565451 * 21950581 * 367302071483 * 2813694102337471571 * PRP45 Date: April 10, 1991 Method: ECM (p12, p19) Time: 4E-3 (1.5 MIP-days) Name: Peter L. Montgomery Recd: April 10, 1991 --------------------------------------------------------------- p(9497) Factors: 7 * 7 * 31 * 2018369 * 68330765210831 * 3346970493097081398739 * 1253239923166440694486147 * 62941849588469529149085380587653541 Date: 13 May 1991 Method: ECM (p14, p22), PPMPQS (p25, p35), Miller-Rabin for primality test. Time: 0.015 (0.01 ECM, 0.005 PPMPQS) Name: Paul C Leyland & Peter L Montgomery Recd: May 13, 1991 --------------------------------------------------------------- p(9511) Factors: 2 * 3 * 7 * 53 * p101 Date : 3/21/91 Method : ECM with cyclotomic ring deterministic primality test Name : Bob Silverman Recd: March 21, 1991 --------------------------------------------------------------- p(9521) Factors: 11 * 1303 * 1327728639709 * p88 Date : 3/21/91 Method : ECM with cyclotomic ring deterministic primality test Name : Bob Silverman Recd: March 21, 1991 --------------------------------------------------------------- p(9533) Factors: 2 * 2 * 5 * 11 * 67 * 3391 * 74463150714317 * PRP83 Method: P-1 Time: 2E-6 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(9539) Factors 5 * 7 * 7 * 139 * 769 * 250121699 * 3060572438243871886040299912649 * 4771107921179275556370336074107275209200777067765106256999 Date: August 21, 1991 Method: ppmpqs Time: approximately 0.4 mips year Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: August 21, 1991 ---------------------------------------------------------------