From challenge-administrator@majordomo.rsasecurity.com Wed Jan 30 16:03:19 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 QAA00329 for ; Wed, 30 Jan 2002 16:03:18 -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 00:00:45 UT Received: (from daemon@localhost) by cameos.majordomo.rsasecurity.com (8.8.8+Sun/notrash) id PAA23142; Wed, 30 Jan 2002 15:54:43 -0500 (EST) Date: Wed, 30 Jan 2002 15:54:43 -0500 (EST) Message-Id: <200201302054.PAA23142@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 115 digits - 119 digits ----------------------- As of July 7, 1995 13:00 PST p(11393) = 67846947625054816687277734583978818282629424639401372346307924149436824709808049994452159196525664239491362047117557379 (119 digits) Factors: 3 * 23 * 131 * 15187 * 88069517219394863 * 15382273646209644763 * PRP70 Date: April 25, 1991 Method: ECM (p17), P +- 1 (p20) Time: 0.01 Name: Peter L. Montgomery Recd: April 25, 1991 --------------------------------------------------------------- p(11399) Factors 5 * 5 * 7 * 1303 * 91650764799571 * 16766656733815022920972958558249685742887875767 * 3122476059908992010900984917954258676453550361231 Date: January 3, 1992 Method: ppmpqs Time: approximately 3.5 MIPS year Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: January 3, 1992 --------------------------------------------------------------- p(11411) Factors 5 * 7304359 * 1339953502357662165053624580648967 * 25796124379441191887631098753082348729653910534312684974208875721190232207 Date: November 4, 1991 Method: ecm Time: 19 hours on 16K Maspar Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: November 4, 1991 --------------------------------------------------------------- p(11423) Factors: 2 * 43 * 10000567737580142347 * 91672805270151776024303317 * PRP68 Date: September 30, 1991 Method: ECM (p20, p26 - latter with first limit 300000) Time: 0.08 Name: Peter L. Montgomery Recd: September 30, 1991 --------------------------------------------------------------- p(11437) Factors 2 * 3 * 3 * 79 * 325883 * 221740815681544597638373 * 53553611781082796254368771977376018750341 * 312686485749181803343007131220358189806201 Date: November 10, 1991 Method: ecm, ppmpqs Time: ppmpqs approximately 0.1 MIPS year Name: Paul Leyland (ecm), Arjen K. Lenstra (ppmpqs) Email: lenstra@flash.bellcore.com Recd: November 10, 1991 --------------------------------------------------------------- p(11443) Factors 7 * 167 * 263 * 16192951 * 107942168517723819847 * 17773553540156570181937365607065718951 * 193491557350420710945499093928486243154181327 Date: November 11, 1991 Method: ecm, ppmpqs Time: ppmpqs approximately 0.1 MIPS year Name: Peter Montgomery (ecm), Arjen K. Lenstra (ppmpqs) Email: lenstra@flash.bellcore.com Recd: November 11, 1991 --------------------------------------------------------------- p(11447) Factors: 3 * 277 * 1877011 * 100101749312791197505293241 * PRP80 Date: April 10, 1991 Method: ECM (p27 - first limit 200000) Time: 4E-3 (1.5 MIP-days) Name: Peter L. Montgomery Recd: April 10, 1991 --------------------------------------------------------------- p(11467) Factors 2 * 2 * 2 * 3 * 3 * 197 * 3070451 * 618453027479687 * 15548378206112149960002953 * 5871185334182838579360885655630813640653952630759557522143445739 Date: November 7, 1991 Method: ecm Time: 1.5 hours on 16K Maspar Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: November 7, 1991 --------------------------------------------------------------- p(11471) Factors: 2 * 2 * 2 * 2 * 2 * 2 * 2 * 3 * 5 * 7 * 41 * 233 * 241 * 53276401 * 40412300699237 * 50522598050616558991 * PRP63 Date: April 4, 1991 Method: Pollard Rho (p8), ECM (p14, p20) Time: 3E-3 (one MIP-day) Name: Peter L. Montgomery Recd: April 4, 1991 --------------------------------------------------------------- p(11483) Factors 3 * 3 * 3476448300352326631 * 538753527649766809741 * 23592409388834177375875459 * 7477724344059797947497355303869714333579517012043 Date: November 8, 1991 Method: ecm, ppmpqs Time: 14 minutes on 16K Maspar for ecm (p19, p21), short for c75 (ppmpqs). Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: November 8, 1991 --------------------------------------------------------------- p(11489) Factors: 5 * 11373751 * 57264444192060169 * PRP90 Date: April 1, 1991 Method: ECM (p17) Time: 8E-4 Name: Peter L. Montgomery Recd: April 1, 1991 --------------------------------------------------------------- p(11491) Factors 113891283297403 * 24810054694714477 * 61979587990128561615449106005819 * 18673153836415873106193049733191803851427457258966831 Date: November 8, 1991 Method: ecm Time: 11 hours on 16K Maspar Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: November 8, 1991 --------------------------------------------------------------- p(11497) Factors: 2 * 7 * 199023793 * PRP106 Method: P-1 Time: 8E-6 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(11503) Factors: 2 * 2 * 3 * 3 * 3 * 223 * 857 * 153421 * 231911923 * 7021839335418619 * 43512724689732113139239242753061 * PRP47 Date: May 2, 1991 Method: Pollard Rho (p9), ECM (p16), ppmpqs (p32, p47) Time: 0.02 for ECM; 0.2 for ppmpqs Name: Peter L. Montgomery and Arjen K. Lenstra Recd: May 2, 1991 --------------------------------------------------------------- p(11519) Factors 2 * 3 * 5 * 6571 * 17793657533650677781164102191 * 1299914683940551150621909280204816122916000741466535771064731171473203851443522547 Date: November 10, 1991 Method: ecm Time: 7.5 hours on 16K Maspar Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: 10 November, 1991 --------------------------------------------------------------- p(11527) Factors: 3 * 7 * 383 * 76579 * 9573217 * 5176012417 * 1693998443147 * 14203989145679604001 * 136785630285555611551157 * 49911240842026987009799984732430629 Date: 1 May 1991 Method: Pollard Rho + P-1 + ECM (p13, p20) + PPMPQS (p24, p35) Time: 0.02 (0.01 each PPMPQS, ECM) Name: Paul C Leyland & Peter L Montgomery Recd: May 1, 1991 --------------------------------------------------------------- p(11549) Factors: 2 * 5 * 5 * 19 * 22783 * 273892494977 * 1091049622622873 * PRP82 Date: April 4, 1991 Method: ECM (p12, p16) Time: 3E-3 (one MIP-day) Name: Peter L. Montgomery Recd: April 4, 1991 --------------------------------------------------------------- p(11551) Factors 181 * 1681502021 * 2653620809700289327834271265533832202703 * 8250386255348218054576834133381695776816602877348174750199675201 Date: December 6, 1992 Method: ppmpqs Time: four weeks on the idle time of approximately 30 sparcs/Dec5000s Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: December 6, 1992 --------------------------------------------------------------- p(11579) Factors: 3 * 5 * 193 * 311 * 751 * 7477 * 107507945729 * 4236532913670391 * PRP76 Date: April 4, 1991 Method: ECM (p12, p16) Time: 3E-3 (one MIP-day) Name: Peter L. Montgomery Recd: April 4, 1991 --------------------------------------------------------------- p(11587) Factors: 2 * 2 * 3 * 4676815737974509 * PRP99 Date: April 10, 1991 Method: ECM (p16) Time: 4E-3 (1.5 MIP-days) Name: Peter L. Montgomery Recd: April 10, 1991 --------------------------------------------------------------- p(11593) Factors: 179230927234627 * 9757018926796507133063 * 1476270906988863727164251925047668741 * PRP43 Date: May 2, 1991 Method: ECM (p15, p22 - first limit 30000), ppmpqs (p37, p43) Time: 0.02 for ECM; 0.2 for ppmpqs Name: Peter L. Montgomery and Arjen K. Lenstra Recd: May 2, 1991 --------------------------------------------------------------- p(11597) Factors: 3 * 5 * 5 * 5 * 7 * 7 * 397 * 3533 * 30881 * 42181 * PRP96 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(11617) Factors: 2 * 3 * 3 * 23 * 173 * 193 * 21019 * 50069037469677654756306959261829063137946456645004855721770823231232844728850703674601073629574204461093 Date: 20 March 1991 Method: TD + Rabin for primality test. Time: 1e-7 Name: Paul C Leyland Recd: March 20, 1991 --------------------------------------------------------------- p(11621) Factors: 1493 * 12689 * 5610849833 * 21678897056722526261031465418766130294350395291 * 6618392336339053332871200636869904488209452645514669 Date:July 6, 1992 Method: TD, ECM : p10 , PPMPQS : p47, restp52 (using LIPS) Time: ECM ca. 2 min , PPMPQS ca. 22 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 6, 1992 --------------------------------------------------------------- p(11633) Factors: 11 * 19 * 43 * 5846853127 * 325369346587621320043 * PRP82 Date: April 10, 1991 Method: ECM (p10, p21) Time: 4E-3 (1.5 MIP-days) Name: Peter L. Montgomery Recd: April 10, 1991 --------------------------------------------------------------- p(11657) Factors: 5 * 1022832454732359841 * 244229197382119460971 * PRP77 Date: April 25, 1991 Method: ECM (p21), P +- 1 (p19) Time: 0.01 Name: Peter L. Montgomery Recd: April 25, 1991 --------------------------------------------------------------- p(11677) Factors: 11 * 19 * 7577 * 38891 * 4110661 * 13044701 * 38270691409 * 78739522681 * 1135470931540189121 * PRP52 Date: April 25, 1991 Method: Pollard Rho + P-1 (p8, two p11), P +- 1 (p19) Time: 0.01 Name: Peter L. Montgomery Recd: April 25, 1991 --------------------------------------------------------------- p(11681) Factors: 7 * 7 * 275784650503 * 174498187106220017189726687895695582798798485169 * 13126115336160415080776785371816454047662275063349412043 Date: September 14, 1992 Method: ppmpqs Time: three weeks on idle time of 20 to 30 workstations Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: September 14, 1992 --------------------------------------------------------------- p(11689) Factors 2 * 5 * 7 * 7 * 37 * 191 * 22433933 * 1094506199 * 1055387055419 * 13153105179507616227952299808206967571 * 28815369818705655841857476958864706171211231 Date: September 28, 1991 Method: ppmpqs Time: too short to remember Name: Paul Leyland Email: pcl@oxford.ac.uk Recd: September 26, 1991 --------------------------------------------------------------- p(11699) Factors 5 * 5 * 5 * 7 * 11 * 11 * 43 * 107 * 173 * 503443434453014490705707 * 749695854483487867547661411536339 * 1202899033332761452984352304213306096634557996287 Date: January 23, 1992 Method: ecm Time: 20 hours on 16K MasPar Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: January 23, 1992 --------------------------------------------------------------- p(11701) Factors 2 * 43 * 7924213566761 * 94225793974294712719327089652237 * 610038472859083707127819784251920801038051040421347804679671181963763 Date: January 26, 1992 Method: ecm Time: 33 hours on 16K MasPar Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: January 26, 1992 --------------------------------------------------------------- p(11717) Factors: 2 * 2 * 2857 * 65255803 * 292634326883 * PRP93 Method: Pollard Rho + P-1 Time: 2E-5 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(11719) Factors 2 * 5 * 67 * 32707 * 541122926556039734188999 * 4082775887494820299580192024433220679887349580155343453864485080839094221692106635899 Date: January 26, 1992 Method: ecm Time: 25 minutes on 16K MasPar Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: January 26, 1992 --------------------------------------------------------------- p(11731) Factors: 2 * 5 * 5 * 797 * 378073859 * 66737312485667 * PRP89 Date: March 22, 1991 Method: P-1 (p9), ECM (p14) Time: 8E-4 Name: Peter L. Montgomery Recd: March 22, 1991 --------------------------------------------------------------- p(11743) Factors: 2 * 2 * 3 * 11 * 23 * 43 * 9043 * 44651 * 1282960886281 * 7166800991417 * PRP78 Date: April 10, 1991 Method: ECM (two p13) Time: 4E-3 (1.5 MIP-days) Name: Peter L. Montgomery Recd: April 10, 1991 --------------------------------------------------------------- p(11777) Factors: 3 * 71 * 143483 * 2980141 * PRP103 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(11779) Factors: 2 * 2 * 2 * 5 * 7 * 7 * 7 * 19 * 19 * 37 * 3617 * 1495159 * PRP98 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(11783) Factors: 362723 * PRP111 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(11789) Factors 2 * 3 * 5 * 5 * 5 * 37 * 233 * 1429 * 10630237817 * 85512801451221300684966907453415565141726201661 * 13115882342424504453127226271672515336599505779969 Date: February 17, 1992 Method: ppmpqs Time: approximately 2.5 mips years Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: February 18, 1992 --------------------------------------------------------------- p(11801) Factors 2 * 67 * 3191 * 27371566447164403284822103847 * 10834161281048734576698782596848195229407072419319198211407494967476233361722126147 Date: January 31, 1992 Method: ecm Time: 26 hours on 16K MasPar Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: January 31, 1992 --------------------------------------------------------------- p(11807) Factors: 3 * 7 * 7 * 7 * 23 * 1723 * 7583618861011 * 30352542361951 * 3039475624907773 * 1543728339867612243994543519 * 3088853254693747059833243998763372191721 Date: 21 June 1991 Method: TD, P-1 (p13, p14), ECM (p16), PPMPQS (p28, p40), Miller-Rabin for primality test. Time: 0.05 Name: Paul C Leyland & Peter L Montgomery Recd: June 21, 1991 --------------------------------------------------------------- p(11813) Factors: 19 * 59 * 91477602912962336936018448416068560881722328973938351 * 1423243188948860111353437854755759453984702669500097240365661 Date: February 18, 1993 Method: trial division, ppmpqs (two largest factors) Time: 200 mips years Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: February 18, 1994 --------------------------------------------------------------- p(11821) Factors: 2 * 7 * 103 * 457 * 5540071168369100328050995404176873 * 43903676669688990947557372359291429313128673133221559504057637800649871204013 Date: August 4, 1993 Method: ecm (c111 = p34*p77, first limit 2*10^6, 21st curve) Name: Bruce Dodson, Matt Fante Email: bad0@lehigh.edu Recd: August 4, 1993 --------------------------------------------------------------- p(11827) Factors: 2791 * 326041901101965915212048873 * PRP87 Date: April 25, 1991 Method: P +- 1 (p27 - first limit 1000000) Time: 0.01 Name: Peter L. Montgomery Recd: April 25, 1991 --------------------------------------------------------------- p(11831) Factors: 2 * 3 * 7 * 7 * 11 * 4127 * 17923 * 359070863 * PRP97 Method: Pollard Rho Time: 1E-5 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(11833) Factors: 2 * 13 * 197 * 150730009 * 7303940514605475106925897122243 * 201739947642050852926859105393645149 * 162155217607734022041916747408934450267 Date:September 4, 1992 Method: TD, ECM : p9 p31 , PPMPQS :p36 restp39 (using LIPS) Time: ECM ca. 0.3 mips year , PPMPQS ca. 0.5 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: September 4, 1992 --------------------------------------------------------------- p(11839) Factors: 5 * 3593 * 22319525167 * PRP102 Method: P-1 Time: 6E-5 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(11863) Factors 2 * 2 * 2 * 2 * 2 * 2 * 2 * 7 * 23 * 38729 * 396961030295509 * 490558688089298639524141615139443 * 1685886288790994498487419839258752679881222246347591074788119 Date: February 25, 1992 Method: ppmpqs Time: approximately 2 mips years Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: February 25, 1992 --------------------------------------------------------------- p(11867) Factors 2 * 283 * 5897 * 3172507469 * 137806785950080013787580298617940725594736611979839 * 188159706387754783679935785319307513390643619509809 Date: October 24, 1992 Method: ppmpqs Time: two weeks on idle time of 20 to 30 workstations Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: October 24, 1992 --------------------------------------------------------------- p(11887) Factors: 23 * 3737871859084719251526725620648899205883329019 * 4034458115874869126233674445223891392270040052124810720248603067343497 Date: July 18, 1994 Method: trial division, gnfs (two largest factors) Time: approximately 200 mips years Name: Bruce Dodson, Arjen K. Lenstra, Peter L. Montgomery Email: lenstra@bellcore.com Recd: July 18, 1994 --------------------------------------------------------------- p(11897) Factors 2 * 5 * 11 * 11 * 13 * 47 * 347 * 919 * 40962847 * 13741125247574400241453958082241440581647 * 2937424257778976850911851857348673258842803912298812854237 Date: July 14, 1992 Method: ppmpqs Time: 25 hours on 7/16 of a 16K MasPar Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: July 14, 1992 --------------------------------------------------------------- p(11903) Factors: 995702224402037 * 40570898086708729197973 * 10349618734632064032721955206385550451006272628807999093086789732265721343431359 Date: Feb 4, 1992 Method: ECM Time: ca. 20h on 15 Sun-Sparc1 Name: Franz-Dieter Berger, Johannes Buchmann Adress: University of Saarland, Im Stadtwald, 6600 Saarbruecken -Germany- Email: fberger@cs.uni-sb.de Phone: germany 681 - 3024167 Recd: February 4, 1992 --------------------------------------------------------------- p(11909) Factors: 2 * 2 * 2 * 2 * 5 * 165089 * 42329513 * 110676540706909 * 221184296767223 * PRP74 Date: March 22, 1991 Method: Pollard Rho (p8), P-1 (first p15), ECM (second p15) Time: 8E-4 Name: Peter L. Montgomery Recd: March 22, 1991 --------------------------------------------------------------- p(11923) Factors 7 * 64938684780793 * 1170212820250636526767881069158564027 * 992521035559525716891442377390788048342111507022352111065953553331 Date: November 17, 1992 Method: ppmpqs Time: a week on a 16K MasPar Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: November 17, 1992 --------------------------------------------------------------- p(11927) Factors: 2 * 2 * 5 * 23 * 26863 * 82483 * 29478431 * 3784816952936477 * 552350880068901741836231 * PRP58 Date: July 19, 1991 Method: Pollard Rho (p8), ECM (p16, p24 - first limit 200000) Time: 0.06 Name: Peter L. Montgomery Recd: July 19, 1991 --------------------------------------------------------------- p(11933) Factors 7 * 1307 * 7555319 * 112218467647964233 * 313002746143360353236321823490581493333 * 244345511496633080505075992552670273413468989872467 Date: March 13, 1992 Method: ppmpqs Time: approximately 1.5 mips years Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: March 13, 1992 --------------------------------------------------------------- p(11939) Factors: 5 * 5 * 5 * 5 * 5 * 7 * 37 * 523 * 7585659401 * 185783604988271 * 10407274208568409 * PRP69 Date: April 21, 1991 Method: P-1 (p10), ECM (p15, p16) Time: 8E-3 (3 MIP days) Name: Peter L. Montgomery Recd: April 21, 1991 --------------------------------------------------------------- p(11941) Factors: 2 * 3 * 3 * 11 * 17 * 19 * 251 * 4466879 * 653941243 * PRP95 Method: Pollard Rho + P-1 Time: 1E-5 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(11953) Factors: 9547 * 26857189 * 6732847773306350991311644784367805008407809309 * 433838622569781299267663559831871121668858565515658488000349 Date: April 1, 1993 Method: ppmpqs Time: 40 days on the idle time of approximately 30 dec5000's and sparcs2's Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: April 1, 1993 --------------------------------------------------------------- p(11959) Factors: 2 * 2 * 2 * 5 * 257 * 16542371 * 43425238718209979 * 13178655005397568553 * 2483993143033957501903307473063 * PRP40 Date: May 16, 1991 Method: Pollard Rho (p8), ECM (p16, p20), ppmpqs (p31, p40) Time: 0.02 for ECM; 0.02 for ppmpqs Name: Peter L. Montgomery and Arjen K. Lenstra Recd: May 16, 1991 --------------------------------------------------------------- p(11969) Factors: 2 * 3 * 5 * 5 * 5 * 37 * 54543299 * 519784883 * 1625456039380418634916357 * PRP72 Date: September 22, 1991 Method: Pollard Rho (p9), ECM (p25 - as step 1 near 2 million) Time: 0.08 Name: Peter L. Montgomery Recd: September 22, 1991 --------------------------------------------------------------- p(11971) Factors: 46954954654482464707136206213264008037 * 19669408047744282171361699367870848351221905913914641412297240673242773155462439 Date: August 19, 1993 Method: ecm (c117 = p38*p80, first limit 2*10^6, 470th curve) Name: Bruce Dodson, Matt Fante Email: bad0@lehigh.edu Recd: August 19, 1993 --------------------------------------------------------------- p(11981) Factors: 42696127 * PRP110 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(11987) Factors: 2 * 2 * 157 * 3108664730324316743 * PRP96 Date: April 10, 1991 Method: ECM (p19) Time: 4E-3 (1.5 MIP-days) Name: Peter L. Montgomery Recd: April 10, 1991 --------------------------------------------------------------- p(12007) Factors 2 * 11 * 1093 * 122630933 * 1193407953129373 * 1397118212487596676708239737453601377 * 285522689598573352044397117174022452317582536088704819 Date: February 27, 1992 Method: ppmpqs Time: approximately 2 mips years Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: February 28, 1992 --------------------------------------------------------------- p(12011) Factors: 2 * 17839 * 1918906681 * PRP104 Method: P-1 Time: 3E-5 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(12037) Factors: 11 * 1063 * 78487 * 184090984604287792029268190533347134081699 * 11772538859037356581029682524006961452848682618800714902308429768011 Date: December 31, 1993 Method: trial division, ppmpqs (two largest factors) Time: 90 mips years Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: December 31, 1993 --------------------------------------------------------------- p(12041) Factors: 2 * 38371 * 6514751 * 1545925941262784442804401272851612690481059119609 * 2695682010452010971729058062489682608978371409612970580201 Date: February 25, 1993 Method: ppmpqs Time: 40 days on idle time of 30 workstations (Dec5000, sparc) Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: February 25, 1993 --------------------------------------------------------------- p(12043) Factors: 2 * 59 * 677 * 1327 * 1463724529 * 645297159389128741048300067 * 21296454350817673570011940807071685806291406818491015258708889259056741881 Date: Feb 19, 1992 Method: TD, ECM p10, p27 Time: ca. 18h on 19 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: February 19, 1992 --------------------------------------------------------------- p(12049) Factors: 2 * 2 * 2 * 2 * 5 * 5 * 5 * 7 * 11 * 19 * 6199 * 5935879 * 902970191 * 1682606281 * PRP83 Method: Pollard Rho + P-1 Time: 2E-5 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(12071) Factors: 2 * 2 * 61 * 4349315151146359 * 1460417007994682729051 * PRP79 Date: April 21, 1991 Method: ECM (p16, p22 - first limit 30000) Time: 8E-3 (3 MIP days) Name: Peter L. Montgomery Recd: April 21, 1991 --------------------------------------------------------------- p(12073) Factors: 2 * 2 * 7 * 7 * 11 * 23 * 23 * 37 * 43 * 59 * 73 * 1350257 * 561182341179484264600387 * PRP75 Date: October 3, 1991 Method: ECM (p24 - first limit 300000) Time: 0.09 Name: Peter L. Montgomery Recd: October 3, 1991 --------------------------------------------------------------- p(12097) Factors: 2 * 2 * 3 * 3 * 7 * 19 * 23 * 51916584000050309692289442796189 * 21912645422074403717025143513226007 * 31829095506721254468139211962887044438333973343 Date : 14 October 1991 Method: TD, ECM (p32), PPMPQS (p35, p47) Time: 0.25 (ECM 0.01) Name: Paul C Leyland Recd: October 14, 1991 --------------------------------------------------------------- p(12101) Factors 3 * 3 * 7 * 7 * 13 * 55667 * 61363 * 1024721 * 141670981 * 83247909859025434676767 * 1051256744540278035750165257 * 16786665273654410654245261857267516541781 Date: March 2, 1992 Method: ecm, ppmpqs Time: 45 minutes on 16K Maspar, short for ppmpqs Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: March 2, 1992 --------------------------------------------------------------- p(12107) Factors: 5 * 31 * 920325537312359 * 338174050389819685054845024343 * 110571470875930796810723940841344521 * 839315209384638810078786054669754159 Date: October 30, 1992 Method: ppmpqs Time: two weeks on idle time of 20 to 30 workstations Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: October 31, 1992 --------------------------------------------------------------- p(12109) Factors: 5 * 14479 * 18757 * 165601 * 1176437367299 * PRP92 Date: April 1, 1991 Method: ECM (p13) Time: 8E-4 Name: Peter L. Montgomery Recd: April 1, 1991 --------------------------------------------------------------- p(12113) Factors: 3 * 5 * 5 * 11 * 59 * 317 * 439 * 1847 * 3863 * 345958021 * 1703648867 * 24385423343252579 * 28097056350763684611563 * 245878432222599022083199246965795308741051717 Date: 28 June 1991 Method: TD, Pollard Rho (p9), ECM (p10, p17), PPMPQS (p23, p45), Miller-Rabin for primality test. Time: 0.05 Name: Paul C Leyland & Peter L Montgomery Recd: July 22, 1991 --------------------------------------------------------------- p(12119) Factors 2 * 2 * 2 * 3 * 5 * 5 * 32479 * 877949 * 9695059597030983590545989052514207900905493 * 31010593420819057094944530777371696319819033579271509892956217 Date: December 12, 1992 Method: ppmpqs Time: ten days on a 16K MasPar Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: December 12, 1992 --------------------------------------------------------------- p(12143) Factors: 3 * 7 * 7 * 19 * 37 * 3281348028684014113336037 * PRP89 Date: August 28, 1991 Method: ECM/FFT (p25 - first limit 300000) Time: 0.07 Name: Peter L. Montgomery Recd: August 28, 1991 --------------------------------------------------------------- p(12149) Factors: 2 * 5 * 5 * 7 * 13 * 807067657607 * 3640751783630256615233492489 * 544248287716847899828432805347946751117505933830921671372000172090248230009 Date: October 14, 1992 Method: TD, ECM (using LIPS): p12, p28, restp75 Time: 2.2 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 14, 1992 --------------------------------------------------------------- p(12157) Factors: 3 * 3 * 7 * 2063 * 7479137 * 24019357 * 8005601405288873329 * 3355827833651206293439 * 23890130871292609886487211 * 532574469674089844586947714307229 Date: 16 May 1991 Method: Pollard Rho, P-1 (p19), ECM (p22), PPMPQS (p26, p33), Miller-Rabin for primality test. Time: 0.02 Name: Peter L Montgomery & Paul C Leyland Recd: May 16, 1991 --------------------------------------------------------------- p(12161) Factors: 2 * 5 * 11 * 137 * 554619091112243991216741607609740915958199037743857842167949578699372981692438872009127952653072400997017632696403 Date: 20 March 1991 Method: TD + Rabin for primality test. Time: 1e-7 Name: Paul C Leyland Recd: March 20, 1991 --------------------------------------------------------------- p(12163) Factors 3 * 3 * 7 * 11686601 * 632575086727 * 39341632863264177928345454251 * 466815282870237323029554807997449763324933056012111648635498091642469 Date: August 4, 1992 Method: ppmpqs Time: 40 hours on 7/16 of a 16K MasPar Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: August 4, 1992 --------------------------------------------------------------- p(12197) Factors: 3 * 3 * 1406969187380245038197245986705655428680357851470859505010053178696206250268937671566439952867979559855268686617615731 Date: 20 March 1991 Method: TD + Rabin for primality test. Time: 1e-7 Name: Paul C Leyland Recd: March 20, 1991 --------------------------------------------------------------- p(12203) Factors: 2 * 2 * 67153 * 4773203 * 11541319 * 210217769963505931931 * P79 Date: 16 May 1991 Method: TD, Pollard Rho, P-1, ECM (p21), Miller-Rabin for primality test. Time: 0.02 Name: Peter L Montgomery & Paul C Leyland Recd: May 16, 1991 --------------------------------------------------------------- p(12211) Factors: 2 * 3 * 3 * 3 * 7 * 18155697149 * 1326253059581 * 347595462865069 * 8056727096695428551 * PRP60 Date: May 2, 1991 Method: P-1 (p11), ECM (p13, p15), ppmpqs (p19, p60) Time: 0.02 for ECM; 0.2 for ppmpqs Name: Peter L. Montgomery and Arjen K. Lenstra Recd: May 2, 1991 --------------------------------------------------------------- p(12227) Factors: 7 * 7 * 11 * 13 * 2210189 * 20341007 * 125608161541 * 10659656269961 * PRP77 Date: March 21, 1991 Method: Pollard Rho (p8), ECM (p12, p14) Time: 4E-4 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(12239) Factors: 5 * 37 * 1667 * 12100657 * 1080640177 * PRP97 Method: Pollard Rho + P-1 Time: 4E-5 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(12241) Factors: 2 * 7 * 7 * 13825691929266804493 * PRP98 Date: April 21, 1991 Method: ECM (p20) Time: 8E-3 (3 MIP days) Name: Peter L. Montgomery Recd: April 21, 1991 --------------------------------------------------------------- p(12251) Factors: 2 * 2 * 3 * 3 * 3 * 5 * 5 * 13307123 * PRP108 Method: Pollard Rho Time: 4E-5 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(12253) Factors: 5 * 127 * 3075010924115874089116318548086136383 * 12360438020313563901784952269136687847561687570488890170601581797737598500188097 Date: August 19, 1993 Method: ecm (c116 = p37*p80, first limit 2*10^6 found in step 1 near 764000 on 645th curve) Name: Bruce Dodson, Matt Fante Email: bad0@lehigh.edu Recd: August 19, 1993 --------------------------------------------------------------- p(12263) Factors 11 * 47 * 113 * 636109 * 3309511 * 14104902166956385261 * 72262081817282657005434050113838464391 * 216005653533881238107538262581255323544281333 Date: December 12, 1991 Method: ecm, ppmpqs Time: 15 minutes on 16K MasPar (ecm), short for ppmpqs Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: December 12, 1991 --------------------------------------------------------------- p(12269) Factors 5 * 7 * 7 * 7 * 7 * 7 * 17 * 139 * 379 * 13723 * 30197 * 494023 * 3436127 * 1117933095724593261628929327717986327911 * 490191289016494935481345484235175179735663175541 Date: January 19, 1992 Method: ppmpqs Time: approximately 1.5 mips years Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: January 19, 1992 --------------------------------------------------------------- p(12277) Factors: 23 * 9149018479 * 18682594873717481959334758637057171 * 8090485787948551748258930109931890553402071794306443363514529763811647681 Date: July 18, 1993 Method: ppmpqs Time: ten days on 16K MasPar Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: July 18, 1993 --------------------------------------------------------------- p(12281) Factors: 2161 * 12354914426010610044035453302037796721266068424453751109 * 1247340323676058399782254134926843538867729935760092552327653 Date: April 27, 1995 Method: trial division, ppmpqs (two largest factors) Time: approximately 400 mips years Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: June 30, 1995 --------------------------------------------------------------- p(12289) Factors: 5 * 23 * 47 * 1151 * 77279 * 1504829922334822998616683989281 * 50463866518365346368396788589741983374645483901261160085134414952158625552237 Date: May 18, 1992 Method: TD, ECM (using LIPS): p31, restp77 Time: ECM ca. 11 days 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 18, 1992 --------------------------------------------------------------- p(12301) Factors 31 * 31 * 1038833592109762447213 * 134582376786145458508138658006042876921 * 311889091218116211972019939407102462815406684877916344211 Date: May 13, 1992 Method: ppmpqs Time: approximately 1.8 mips years Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: May 13, 1992 --------------------------------------------------------------- p(12323) Factors: 2 * 2 * 2 * 2 * 3 * 3 * 5 * 5 * 399600217 * PRP107 Method: P-1 Time: 1E-5 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(12329) Factors: 2 * 5 * 19 * 47 * 137 * 90659 * 8826185178349356827660883158585902989078806477 * 59027738671237454640794858816224135421066098288024054633124123 Date: August 12, 1993 Method: TD, PPMPQS :p46 restp62 (using LIPS) Time: ECM ca. 1 mips year , PPMPQS ca. 100 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 - 3024168 Recd: August 20, 1993 --------------------------------------------------------------- p(12343) Factors: 11 * 10853 * 34123 * 1926188971305808336323788715288487305069417827 * 8646527512058651985150462983417017338822287746857620945789993653 Date: January 2, 1994 Method: trial division, ppmpqs (two largest factors) Time: 100 mips years Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: January 3, 1994 --------------------------------------------------------------- p(12347) Factors: 2 * 2 * 3 * 3 * 3 * 3 * 3067 * 13834307 * 5601468665761 * PRP93 Method: Pollard Rho + P-1 Time: 4E-5 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(12373) Factors: 2 * 41 * 43 * 89 * 443 * 90222585989 * PRP100 Date: March 22, 1991 Method: ECM (p11) Time: 5E-4 Name: Peter L. Montgomery Recd: March 22, 1991 ---------------------------------------------------------------