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 QAA00351 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 PAA23227; Wed, 30 Jan 2002 15:54:46 -0500 (EST) Date: Wed, 30 Jan 2002 15:54:46 -0500 (EST) Message-Id: <200201302054.PAA23227@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 135 digits - 139 digits ----------------------- As of January 29, 1999 p(15581) Factors: 2 * 14861392583091591239087528873 * 3710721243462182199103549154661337 * 949659030401151154777092938626954576581715811957602848075033795668774477 Date: May 24, 1994 Method: trial division, ecm (p29 with first step 120000, p34 with 2*10^6) Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: May 24, 1994 --------------------------------------------------------------- p(15583) Factors 17 * 487 * 9283 * 1467692476087 * 1153301826374129 * 25816780080127492649 * 2624867230043594003167979497 * 12126362642251009476116820557704224816987910675964479 Date: December 9, 1991 Method: ecm Time: 0.5 hours on 16K MasPar Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: December 9, 1991 --------------------------------------------------------------- p(15601) Factors: 3 * 3 * 5 * 7 * 7 * 17 * 11426071 * 104344379 * 194657817283208385983305540496569981 * 14766646939394885817350267925286206373792221769425703133834266588837541299183387 Date: November 6, 1995 Method: trial division, ecm, ppmpqs (two largest factors) Time: approximately 350 mips years Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: November 6, 1995 --------------------------------------------------------------- p(15607) Factors: 11 * 41 * 757 * 12194545895192317 * 23570947913829705326362695760360848321802560372655355177 * 1391712814089050918447430907754823119681558736033867948833 Date: July 1, 1995 Method: trial division, ecm, ppmpqs (two largest factors) Time: approximately 200 mips years Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: July 1, 1995 --------------------------------------------------------------- p(15619) Factors: 2 * 2 * 2 * 3 * 3 * 5 * 103 * 409 * 54682213 * PRP120 Method: Pollard Rho Time: 1E-5 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(15629) Factors: 2 * 5 * 7 * 7 * 2087 * 10463 * 89833 * 4632647922034255352602553 * PRP95 Date: October 15, 1991 Method: ECM/FFT (p25 - first limit 400000) Time: 0.09 Name: Peter L. Montgomery Recd: October 15, 1991 --------------------------------------------------------------- p(15641) Factors: 1627 * 25590187501 * PRP121 Method: P-1 Time: 6E-5 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(15643) Factors: 3 * 3 * 5 * 7 * 277 * 1723 * 49877 * 25523 * 993962302956798396937700608955966606989 * 1036347968893304523546293387223216291397573601364791778628844190289411845465029 Date: June 13, 1997 Method: trial division, ecm/fft (p39 with program MIPS.ecm2.3000000.nonshared from Peter Montgomery) Time: 50 curves on Centre Charles Hermite's R4K-R8K, R10K sgi's, after 2100 curves with first limit 1400000 at Lehigh Univ Address: http://www.loria.fr/CCH (for "Centre Charles Hermite") Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com Recd: June 13, 1997 ------------------------------------------------------------------------------ p(15647) Factors: 2 * 2 * 7 * 11 * 86977998440027255781799 * 84394719860368846600630163154101993088491 * 90825889167697101005152690340644224849821214380924007107494418281331 Date: Nov 22, 1993 Method: TD, ECM (using Lips): p23, p41, restp68 Time: ca. 8 MipsYears Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: November 22, 1993 --------------------------------------------------------------- p(15649) Factors: 2 * 2 * 2 * 2 * 2 * 2 * 2 * 3 * 3 * 3 * 5 * 5 * 7 * 53 * 3134072399 * 24114813339708001 * PRP101 Date: March 22, 1991 Method: Pollard Rho (p10), ECM (p17) Time: 8E-4 Name: Peter L. Montgomery Recd: March 22, 1991 --------------------------------------------------------------- p(15661) Factors: 3 * 37 * 191 * 439 * 70969 * 665813 * PRP117 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(15667) = 251745002621716780022587165893183441485921348703135828308340546705846281908698988712968477111304713214731455773260626903614456331414084 (135 digits) Factors: 2 * 2 * 3 * 27850847 * 283146394287171165365183517428926497359981 * 2660297272174028492021601259612687403628314257547629644903980735773331437647255415801 Date: July 11, 1999 Method: trial division, ecm, ecm/fft (p42 with program MIPS.ecm2.30000000.shared from Peter Montgomery) Time: 263rd curve with 30000000 ecmfft, on an SGI Octane Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com --------------------------------------------------------------- p(15671) Factors: 3 * 3 * 3 * 7 * 7 * 71 * 83 * 143625396789149374192897 * 5682502477071654627658824937235219087866740109 * 41208055481271135061038859255098018024941645518979569765241 Date: April 1, 1994 Method: TD, ECM : p24 , PPMPQS :p46 restp59 (using LIPS) Time: ECM ca. 27 mips days , QS ca. 50 Mips years Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Address: University of Saarland - Informatik (FB 14) -, Postfach 1150, 66041 Saarbruecken -Germany- email: denny@cs.uni-sb.de fberger@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: April 1, 1994 --------------------------------------------------------------- p(15679) Factors 5 * 5 * 11 * 13 * 19 * 25127 * 58793171 * 1074637963650615669913 * 298837431544355226575701310178194143 * 8827242468041463179699866268398234079903184955089293924021017 Date: February 11, 1993 Method: ppmpqs Time: 1.4 days on a 16K MasPar Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: February 11, 1993 --------------------------------------------------------------- p(15683) Factors: 179593 * 74776969 * 11538374717 * 2326469127683895689500118629298269 * P78 Date: 29 April 1994 Method: rho (p6, p8), ECM (p11, p34) Time: 0.5 Name: Paul C leyland Recd: April 29, 1994 --------------------------------------------------------------- p(15733) Factors 2 * 2 * 8501 * 111509 * 47051387 * 3499970633 * 604206050299 * 123127656887452044648622188527118157 * 10605132117257300618048792993160919814778426144801515487072889 Date: February 14, 1993 Method: ppmpqs Time: 1.4 day on a 16K MasPar Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: February 14, 1993 --------------------------------------------------------------- p(15727) Factors: 3 * 7 * 7 * 8749589 * 606269669 * 53493526911277747216041707018188163323 * 11111687125410855468252399113809685181765634329512169557473102313624614842648017 Date: Mar 22, 1995 Method: TD, ECM (using Lips): p7, p9, p38, restp79 Time: 17 mips years Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: March 22, 1995 --------------------------------------------------------------- p(15737) Factors: 59 * 67 * 89 * 641 * 12953 * 1103 * 62297 * 3096167 * 5809285251682591745767 * P87 Date: August 22, 1992 Method: ecm, with b1=1,000,000; primality of the factors established with ECPP Time: 22 hours on a DecStation 3100 Name: Francois MORAIN, Reynald LERCIER Address: LIX. Ecole Polytechnique, F-91128 Palaiseau Cedex FRANCE Email: morain@poly.polytechnique.fr or lercier@poly.polytechnique.fr phone: +33 1 69 33 45 89 Recd: August 22, 1992 --------------------------------------------------------------- p(15739) Factors: 5 * 19 * 186897740229139 * 145627511036999861 * 9488760954561317206137869 * PRP77 Date: June 5, 1991 Method: ECM (p25); history of smaller factors was lost Time: 0.04 (2 MIP-weeks) Name: Peter L. Montgomery Recd: June 5, 1991 --------------------------------------------------------------- p(15749) Factors: 2 * 5 * 5 * 5 * 5 * 5 * 7 * 1517407387 * PRP121 Method: P-1 Time:: 2E-5 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(15761) Factors: 2 * 5 * 7 * 13 * 13 * 3569429 * 304024170539 * 742139934954057390503933673052472301496487 * 68717915118394518595116059576386783675474085429671997147546061386762491 Date: May 5, 1997 (factored on July 17, 1995) Method: trial division, ecm, ppmpqs (two largest factors) Time: approximately 200 mips years Name: Bruce Dodson, Arjen K. Lenstra Email: arjen.lenstra@citicorp.com Recd: May 5, 1997 --------------------------------------------------------------- p(15767) Factors: 2 * 3 * 7 * 1301 * 46103 * 370357921897 * 2368970003550961 * PRP99 Date: March 21, 1991 Method: P-1 (p16), ECM (p12) Time: 4E-4 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(15773) Factors: 11 * PRP134 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(15787) Factors: 2 * 1993433240752504357 * 60649132683610710378020441329250297 * 11730548830618747014713676533785556569 * 300515314804575721967674358190720455907869533 Date: September 8, 1994 Method: trial division, ecm (p19, p35), ppmpqs (p38, p45) Time: 40 minutes for ppmpqs Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: September 8, 1994 --------------------------------------------------------------- p(15791) Factors: 11 * 4931 * 6841 * 520721 * PRP121 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(15797) Factors: 7 * 7 * 6121 * PRP130 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(15803) Factors: 3 * 5507 *84191 * 651723910333 * 208676930012116150078346813087 * 5299974961041161340555498375205121106331904132840262322151689443889688060433235879811 Date:November 30, 1992 Method: TD, ECM : p12 p30 restp85 (using LIPS) Time: ECM ca. 50 mips days Name: Franz-Dieter Berger, Thomas Denny, Johannes Buchmann Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 6600 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024167 Recd: November 30, 1992 --------------------------------------------------------------- p(15809) = 1065447429152851347112621544341813784702968176984364402665513867025111870944160114557805386219561552948089954951260339382639830219044375 (136 digits) Factors: 3 * 3 * 5 * 5 * 5 * 5 * 127 * 13107208050925752195882739918989488603562319 * 113787769677791938562669731364328358257475358715233387465711077082653113409339509084863 Date: September 14, 1999 Method: trial division, ecm/fft (p44 with program MIPS.ecm2.30000000.shared from Peter Montgomery) Time: 758th curve with 30000000 ecmfft, on an SGI O2 Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com --------------------------------------------------------------- p(15817) Factors: 3 * 5 * 5 * 11 * 89 * 161869 * 78727163 * 10261931184937 * PRP105 Date: March 22, 1991 Method: P-1 (p8), ECM (p14) Time: 8E-4 Name: Peter L. Montgomery Recd: March 22, 1991 --------------------------------------------------------------- p(15823) Factors: 2 * 930547963 * 73748765336991910951527365419291 * 261169146116977777538320584493295196757867 * 34253862113714812100503569604084907934018973651867777 Date: May 24, 1994 Method: TD, ECM : p9 p32 , PPMPQS :p42 restp53 (using LIPS) Time: ECM ca. 0.5 mips year , PPMPQS 5.5 Mips years Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Address: University of Saarland - Informatik (FB 14) -, Postfach 1150, 66041 Saarbruecken -Germany- email: denny@cs.uni-sb.de fberger@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: May 24, 1994 --------------------------------------------------------------- p(15859) Factors: 5 * 64947440071321621624545916649687 * 5444493493678452471998861513264285372770265321226114619056531430939199194031194722828419616737243883667 Date: September 27, 1993 Method: ecm (c135 = p32*p103, first limit 10^6, 36th curve) Name: Bruce Dodson, Matt Fante Email: bad0@lehigh.edu Recd: September 27, 1993 --------------------------------------------------------------- p(15877) Factors: 3 * 7 * 401 * 809 * 9001 * 48421183 * 33786613075429377077 * 676412778169779378107251301 * 4207971198640921952702427838283381 * 7428861899703408865776772315223621111 Date: September 30, 1992 Method: P-1 (p20 found in 30 seconds), ECM (p27), ECM/FFT (p34). Time: 0.16 MIP year Name: FactOregon (Joe Buhler, Peter Montgomery, Robby Robson, Russell Ruby) Address: Department of Mathematics, Oregon State University, Corvallis OR 97331-4605 Email: factore@math.orst.edu Phone: (503)737-5171 Recd: September 30, 1992 --------------------------------------------------------------- p(15881) Factors 3 * 3 * 3 * 7 * 19 * 857 * 1097 * 72733 * 7450123 * 21168259849775053 * 1044139510445784531930406734823206166680050531 * 54628611591902987046202181783964333570703776668972969 Date: February 16, 1993 Method: ppmpqs Time: 1.2 day on a 16K MasPar Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: February 16, 1993 --------------------------------------------------------------- p(15887) Factors: 3 * 5 * 1117 * 866635451251 * 377744369639098309 * 13454316434971907481258109081669 * 31803484325583239905183821057416802767655602825806952552737682578171753 Date: August 15, 1993 Method: trial division, ecm (p12, p18), ppmpqs (two largest factors) Time: three days on 16K MasPar for ppmpqs Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: August 18, 1993 --------------------------------------------------------------- p(15889) Factors: 2 * 3 * 5 * 251 * 145455414407 * 230548397745866209 * 1071076992335196785200764016633 * 8855049271421281394863537190974302947923753097204110539077888642328516217 Date: October 19, 1993 Method: TD, ECM : p12 p18 , PPMPQS :p31 restp73 (using LIPS) Time: ECM 3 mips days , PPMPQS 14 days on a IPSC860 (32 nodes) Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) address: University of Saarland - Informatik (FB 14) -, Postfach 1150, 66041 Saarbruecken -Germany- email: denny@cs.uni-sb.de fberger@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: October 19, 1993 --------------------------------------------------------------- p(15901) Factors: 11 * 17 * 1898608383419318999750390580209 * 3184814837235669649299513221117669263580471595757 * 2391258247801067164245947741153242944979069402716508229 Date: January 1, 1994 Method: TD, ECM : p31 , PPMPQS :p49 restp54 (using LIPS) Time: ECM ca. 6 mips year , PPMPQS 1 month on a IPSC860 (16 nodes) Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Address: University of Dortmund, University of Saarland - Informatik (FB 14) -, Postfach 1150, 66041 Saarbruecken -Germany- email: denny@cs.uni-sb.de fberger@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: January 6, 1994 --------------------------------------------------------------- p(15907) Factors: 2 * 2 * 2 * 2 * 71 * 3529 * 421175572467461066918648269 * p103 Date: October 31, 1992 Method: ecm (67th curve, first limit 80000, p27 found at start of 2nd step) Time: < 10.8 hours on RS/6000, model 220 Name: Bruce Dodson, Matt Fante Address: Math Dept, #14 Lehigh Univ, Bethlehem, PA 18015 Email: bad0@ns1.cc.lehigh.edu Phone: (215) 758-3753 Recd: October 31, 1992 --------------------------------------------------------------- p(15913) Factors: 2 * 3 * 122669951 * 1312166849079696917 * PRP109 Date: April 10, 1991 Method: P-1 (p9), ECM (p19) Time: 4E-3 (1.5 MIP-days) Name: Peter L. Montgomery Recd: April 10, 1991 --------------------------------------------------------------- p(15919) Factors: 2 * 3 * 5 * 938463779279447 * 28991650872140608331 * 945707250668011303223 * PRP79 Date: November 12, 1991 Method: ECM (p15, p20, p21) Time: 0.1 Name: Peter L. Montgomery Recd: November 12, 1991 --------------------------------------------------------------- p(15923) Factors: 3 * 3 * 7 * 7 * 11 * 19465999333830490275285946921528097 * 453905655854145899354711077878465162255885535349633 * 78787867102141936431606615607675035323984250487 Date: June 3, 1994 Method: TD, ECM (using Lips):p35; PPMPQS (ipsc860): p47, p51 Time: ECM ca. 1.4 mips years; PPMPQS ca. 18 days on 16 nodes of an intel ipsc860 Hypercube Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: June 3, 1994 --------------------------------------------------------------- p(15937) Factors: 2 * 2 * 3 * 7 * 930408059647809709 * 58622170654565621679369887951681 * 849027287295659884950512925744726500733449481695036078763341341450853355071119509593 Date: May 04, 1994 Method: TD, ECM (using Lips): p18, p32, restp84 Time: 1 mips year Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: May 4, 1994 --------------------------------------------------------------- p(15959) Factors: 2 * 2 * 2 * 3 * 5 * 7 * 920741 * 330014393 * PRP119 Method: Pollard Rho Time: 1E-4 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(15973) Factors: 2 * 2 * 2 * 3 * 23 * 73 * 131 * 1409 * 808753426681 * 1915926300103 * 660723229963117932190741256163864244134651113 * 734596731486839851314338477202004240547665314165447158681 Date: August 18, 1993 Method: trial division, ecm (p12, p13), ppmpqs (two largest factors) Time: 2.2 days on 16K MasPar for ppmpqs Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: August 18, 1993 --------------------------------------------------------------- p(15991) Factors: 2 * 777163821816576777151756677640964242240771 * 4315037884971128890539578499184792958454568030695675741093699045063336636788244212050151340347 Date: July 28, 1998 Method: trial division, ecm/fft (p42 with program MIPS.ecm2.16000000.shared from Peter Montgomery) Time: 25th curve with 16000000 ecm/fft, on an SGI Octane at Lehigh University Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com Recd: July 28, 1998 --------------------------------------------------------------- p(16001) Factors: 2 * 2 * 4799 * 3281397937118868989153 * 2523107736389913567415033 * 18059961989622424819545113 * 2584487599610330152236490466727805419396635592998011842387961 Date:July 11, 1992 Method: TD, ECM : p22 p26 , PPMPQS :p25 restp61 (using LIPS) Time: ECM ca. 1 mips year , PPMPQS ca. 1.1 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 11, 1992 --------------------------------------------------------------- p(16007) Factors: 2 * 3 * 7 * 7 * 43 * 139 * 3738587 * 391273750386176299448345597 * 13196346628817488123337843058164558418689 * 232316156986176576721398311976491864953589232530880449563 Date: February 19, 1993 Method: TD, ECM : p7 p27 , PPMPQS :p41 restp57 (using LIPS) Time: ECM 66 mips days , PPMPQS ca. 10 mips years Name: Franz-Dieter Berger, Thomas Denny, Johannes Buchmann Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 6600 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024167 Recd: February 19, 1993 --------------------------------------------------------------- p(16057) Factors: 2 * 2 * 59 * 149102709955929649828981929749040490471 * 17247806607650556918057245637345946590803 * 21479488083980627857385405164091153152033258323984170429 Date: Apr 02, 1995 Method: TD, ECM (using Lips): p39, p41, restp56 Time: 5 mips years Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: April 2, 1995 --------------------------------------------------------------- p(16061) Factors: 3 * 7 * 170187049 * 3012281611 * 3695653834427 * 421678025035168873387659731 * 104123697943922465529161208861387481741 * 7769011802081511836441540847585396776749 Date: December 9, 1992 Method: TD, ECM : p9 p10 p13 p27 , PPMPQS :p39 restp40 (using LIPS) Time: ECM 35 mips days , PPMPQS 0.3 mips years Name: Franz-Dieter Berger, Thomas Denny, Johannes Buchmann Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 6600 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024167 Recd: December 9, 1992 --------------------------------------------------------------- p(16063) Factors: 2 * 3 * 7 * 7 * 11 * 83 * 208779430727248517 * 365307809854684720644373 * 4798431933630154990016315047305403 * 140961623824706358404678552064431292208649181293333859533 Date:November 13, 1992 Method: TD, ECM : p18 p24 , PPMPQS :p34 restp67 (using LIPS) Time: ECM ca. 170 mips days , PPMPQS ca. 3 mips years Name: Franz-Dieter Berger, Thomas Denny, Johannes Buchmann Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 6600 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024167 Recd: December 14, 1992 --------------------------------------------------------------- p(16067) Factors: 5 * 449 * 797 * 13176728930713 * PRP117 Method: P-1 Time: 6E-5 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(16069) Factors: 5 * 4253 * 3624637 * 809885119427 * PRP114 Date: March 22, 1991 Method: ECM (p12) Time: 5E-4 Name: Peter L. Montgomery Recd: March 22, 1991 --------------------------------------------------------------- p(16073) Factors: 13 * 17 * 19 * 59 * 199 * 1056900739418267 * 232040180339276024080841089644853 * 1266451656892028439970572920308450833488431285694130146776885668172315517576996527 Date: Aug 02, 1994 Method: TD, ECM (using Lips): p16, p33, restp82 Time: 3 mips years Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: August 2, 1994 --------------------------------------------------------------- p(16087) Factors: 13 * 23 * 59 * 101 * 523841797 * 1580910707 * 3319213439172619 * 89709390595900877537 * 7564631212003404879193677158561293 * 5303250547964448227556062581761598907487349 Date: June 16, 1991 Method: ECM (p9, p10, p16, p20), ppmpqs (p34, p43) Time: 0.04 (2 MIP-weeks) for ECM; 0.1 for ppmpqs Name: Peter L. Montgomery and Arjen K. Lenstra Recd: June 16, 1991 --------------------------------------------------------------- p(16091) Factors: 2 * 7 * 7 * 17 * 103 * 1332699733 * 6536835266189866542174887857 * P95 Date: 1 August 1992 Method: TD, rho (p10), ECM (p28) Time: 0.2 Name: Paul C Leyland Recd: August 1, 1992 --------------------------------------------------------------- p(16103) Factors: 2 * 2 * 3 * 5 * 47 * 73 * 607 * 1932587991281 * PRP116 Date: April 17, 1991 Method: ECM (p13) Time: 6E-3 (2 MIP-days) Name: Peter L. Montgomery Recd: April 16, 1991 --------------------------------------------------------------- p(16111) Factors: 5 * 5 * 8476357 * 306823238867 * 21343959014102272073 * PRP98 Date: April 17, 1991 Method: ECM (p12, p20) Time: 6E-3 (2 MIP-days) Name: Peter L. Montgomery Recd: April 16, 1991 --------------------------------------------------------------- p(16127) Factors: 6843071 * 51464551 * 478824241497879470099 * P102 Date: 3 August 1992 Method: rho (p7), P-1 (p8), ECM (p21) Time: 0.15 Name: Paul C Leyland Recd: August 3, 1992 --------------------------------------------------------------- p(16139) Factors: 3 * 3 * 5 * 159861089 * 98513397217621 * 36143196596811653 * 31440861468792341863736632832695007400950803 * 36894566220331349223622048497217868988893870056624457 Date: February 12, 1993 Method: TD, ECM : p9 p14 p17 , PPMPQS :p44 restp53 (using LIPS) Time: ECM ca. 6 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: February 12, 1993 --------------------------------------------------------------- p(16141) = 30314401086566505434373719466091903024111305912165620810722611248767503002610982388742090402762493339546593948062865986613264165721609449 (137 digits) Factors: 3 * 230520079 * 101347358064202236056543938624386251213963 * 432520350265712210757241181544548061831738067931661293434034539037075428568881749994279 Date: September 7, 1999 Method: trial division, ecm, ecm/fft (p42 with program MIPS.ecm2.30000000.shared from Peter Montgomery) Time: 596th curve with 30000000 ecmfft, on an SGI Octane Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com --------------------------------------------------------------- p(16183) Factors: 2 * 2 * 2 * 5 * 11 * 2591 * 291120831181 * 9711729338299 * 2905895704319567 * 114254327163437968281413 * 162106403956758218970258892241 * 266254898743718265541397419173951474377 Date : 27 January 1992 Method: TD, P-1 (p12, p13) ECM (p16, p24), PPMPQS (p30, p39) Time: 0.15 (ECM 0.13) Name: Peter L Montgomery & Paul C Leyland Recd: January 27, 1992 --------------------------------------------------------------- p(16187) Factors: 2 * 7 * 11 * 79 * 42677 * 21379 * 5010525935741588505749603243667707 * 864438150829252991913531502740816037676888850724661117104005844814617570946783696284656143 Date: June 19, 1997 Method: trial division, ecm/fft (p34 with program MIPS.ecm2.3000000.nonshared from Peter Montgomery) Time: 120 curves on Centre Charles Hermite's R4K-R8K, R10K sgi's Address: http://www.loria.fr/CCH (for "Centre Charles Hermite") Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com Recd: June 20, 1997 --------------------------------------------------------------- p(16189) Factors: 3 * 5 * 5 * 5 * 7 * 7 * 11 * 181 * 607 * 200724465885033913 * 1199332622211408187 * 481689117691176548618871957227718923179373143 * 19048219635860156070601597936018156876077499697 Date: November 2, 1992 Method: ppmpqs Time: seven hours on a 16K MasPar Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: November 2, 1992 --------------------------------------------------------------- p(16193) Factors: 2 * 3 * 3 * 5 * 8741 * 332791 * 33597003917 * 20789328339419 * 145251513493537805558834026316175367 * 1922269698418138615307358078113464463043574260324894208119502208747 Date: October 9, 1993 Method: trial division, ecm (p11, p14), ppmpqs (two largest factors) Time: 52 hours on 16K MasPar for ppmpqs Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: October 9, 1993 --------------------------------------------------------------- p(16217) Factors: 2 * 2 * 2 * 3 * 3 * 5 * 7 * 7 * 73 * 2099 * 1906698487 * PRP119 Method: P-1 Time: 1E-4 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(16229) Factors: 2 * 5 * 107 * 10663 * 31741 * 46411696570363 * 42763229903955641991849076647830458231365191 * 101858639866929690062668009912940614287933311764344754742141526024869 Date: February 5, 1995 Method: trial division, ecm, ppmpqs (two largest factors) Time: approximately 200 mips years Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: February 13, 1995 --------------------------------------------------------------- p(16231) Factors: 7 * 11 * 2557 * 80425318212494368260081834439840225063 * 4716896305915777742610729390553739954546023831139851380137625946079994003907432858757839858739 Date: August 4, 1998 Method: trial division, ecm/fft (p38 with program MIPS.ecm2.16000000.shared from Peter Montgomery) Time: 111th curve with 16000000 ecm/fft, on Lehigh's Origin2000 Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com Recd: August 4, 1998 --------------------------------------------------------------- p(16249) Factors: 2 * 2 * 5 * 5 * 5 * 641 * 2699 * 25607453 * 196442064661 * 245906887218228912708293 * P86 Date: 4 August 1992 Method: TD, Rho (p8), ECM (p12, p24) Time: 0.3 Name: Paul C Leyland Recd: August 4, 1992 --------------------------------------------------------------- p(16253) Factors: 11 * 73 * 6763 * 432073 * 3540041 * 10325773 * PRP112 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(16273) Factors: 7 * 23 * 286131427 * 681256993 * 34374216055885483 * PRP102 Date: May 2, 1991 Method: Pollard Rho (two p9), ECM (p17) Time: 0.02 Name: Peter L. Montgomery Recd: May 2, 1991 --------------------------------------------------------------- p(16301) Factors: 7 * 7 * 31 * 1361 * 5347 * 12653 * 17713 * 106249398950868519484949 * p96 Date: December 2, 1992 Method: ecm (first limit 180000, p24 in first step 1st run) Time: 11 hours with 80000, < 1.4 hours with 180000 Name: Bruce Dodson, Matt Fante Address: Math Dept, #14 Lehigh Univ, Bethlehem, PA 18015 Email: bad0@ns1.cc.lehigh.edu Phone: (215) 758-3753 Recd: December 2, 1992 --------------------------------------------------------------- p(16319) Factors: 2 * 2 * 2 * 5 * 11 * 983186051 * PRP126 Method: P-1 Time: 2E-5 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(16333) Factors: 2 * 2 * 2 * 23 * 2789 * 52466797 * 18757979344259 * PRP111 Date: April 17, 1991 Method: ECM (p14) Time: 6E-3 (2 MIP-days) Name: Peter L. Montgomery Recd: April 16, 1991 --------------------------------------------------------------- p(16339) Factors: 5 * 7 * 1591873 * 550005634477155536177693477 * 7168877986445890012829845992392413659700694441580828699490056639171910443971840360598923297504157947939 Date: October 27, 1992 Method: ecm (found during step 1, 1st 10 curves, first limit 80000) Time: < 0.3 hours on RS/6000, model 220 Name: Bruce Dodson, Matt Fante Address: Math Dept, #14 Lehigh Univ, Bethlehem, PA 18015 Email: bad0@ns1.cc.lehigh.edu Phone: (215) 758-3753 Recd: October 28, 1992 --------------------------------------------------------------- p(16349) Factors: 5 * 5 * 5 * 5 * 11057 * 10762044023061511400947 * 1973770565643940701649112424137670717004907 * 1653445746945840842261644660857347846950332432645342983603224227923 Date: December 27, 1994 Method: trial division, ecm, ppmpqs (two largest factors) Time: approximately 90 mips years Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: December 27, 1994 --------------------------------------------------------------- p(16363) Factors: 2 * 2 * 11 * 11 * 17 * 919 * 2939 * 62731 * 2652780787 * 16383100159 * 198570865679 * PRP92 Date: March 21, 1991 Method: P-1 (p9, p11), ECM (p12) Time: 2E-4 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(16369) Factors: 2 * 5 * 5 * 11 * 2230117 * 57252312889 * 6341882167371617 * 965779194207908898102379 * 53162056879592379192005593077177817 * 12956446796196156560160868519974093802054957 Date: January 9, 1993 Method: TD, p+1, ECM (p24) + ppmpqs; primality using ECPP Time: 10 days Ds3100 (ppmpqs) Name: Reynald Lercier, Francois Morain Address: LIX. Ecole Polytechnique, F-91128 Palaiseau Cedex FRANCE Email: lercier@poly.polytechnique.fr or morain@poly.polytechnique.fr phone: +33 1 69 33 45 89 Recd: January 9, 1993 --------------------------------------------------------------- p(16381) Factors: 2 * 258613 * 9661349 * 43554938029 * 35701920011557 * 1666767358678973 * 18279823333296433 * 5351022617170125431 * PRP51 Date: May 2, 1991 Method: P-1 (p14), ECM (p11, p16, p17, p19) Time: 0.02 Name: Peter L. Montgomery Recd: May 2, 1991 --------------------------------------------------------------- p(16411) Factors: 2 * 37 * 2888326033 * 48547869418599996688769753 * 391917751527994084657014176399957906067470777663 * 110674275807105481839737478926923580862868466265236297 Date:June 25, 1993 Method: TD, ECM : p10 p26 , PPMPQS :p48 restp54 (using LIPS) Time: ECM 6 mips days , PPMPQS 20 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 25, 1993 --------------------------------------------------------------- p(16417) Factors: 2 * 2 * 2 * 2 * 41 * 5711898931133 * 22562168156449 * 7427791189317349 * PRP93 Date: April 17, 1991 Method: P-1 (p14), ECM (p13, p16) Time: 6E-3 (2 MIP-days) Name: Peter L. Montgomery Recd: April 16, 1991 --------------------------------------------------------------- p(16421) Factors: 3 * 7 * 1008547 * 70847393 * 1869757853 * 110720030149 * 1207497624139 * 1132814715936516300803 * PRP70 Date: May 16, 1991 Method: Pollard Rho and P-1 (p7 to p12), ECM (p13, p21) Time: 0.02 Name: Peter L. Montgomery Recd: May 16, 1991 --------------------------------------------------------------- p(16427) Factors: 2 * 2 * 3 * 7 * 79 * 857 * 1459 * 28463283313 * 576322615114250439247 * 313714226636213719342529497 * p71 Date: December 6, 1992 Method: ecm (379th curve, first limit 240000, p27 in 2nd step - p21 with 80000) Time: < 3.7 CPU days on RS/6000, model 220 (timing), 340 Name: Bruce Dodson, Matt Fante Address: Math Dept, #14 Lehigh Univ, Bethlehem, PA 18015 Email: bad0@ns1.cc.lehigh.edu Phone: (215) 758-3753 Recd: December 6, 1992 --------------------------------------------------------------- p(16433) Factors: 509 * 8087 * 1493189 * 25038316405909 * PRP112 Date: April 17, 1991 Method: ECM (p14) Time: 6E-3 (2 MIP-days) Name: Peter L. Montgomery Recd: April 16, 1991 --------------------------------------------------------------- p(16447) Factors: 2 * 3 * 13 * 449 * 1307 * 1543 * 1777 * 2227661 * 4694859777568518054874167225989011727 * 5626181580903117794449351714258144609187 * 87182068616240201977772463175526455176263 Date: September 5, 1998 Method: trial division, ecm, ecm/fft (p37 with program MIPS.ecm2.8000000.shared from Peter Montgomery), MAGMA ppmpqs (two largest factors) Address: http://www.loria.fr/CCH (for "Centre Charles Hermite") Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com Recd: September 5, 1998 --------------------------------------------------------------- p(16451) Factors: 3 * 5 * 11 * 11 * 13 * 19 * 19 * 71 * 5171 * 8719 * 24821 * 3451951709831759 * 3851414891550170467706294893673 * PPR71 Date: December 15, 1992 Method: td, p-1 ECM (P16, P31) [1st limit up to 320000, 2nd limit up to 20160000, < 50 curves for P32 {lucky!}] Time: apprx. 0.11 MIPS years Name: Heinz-Bernd Eggenstein Address: Universitaet Dortmund, FB Informatik, LS II, Baroper Str. 103, 4700 Dortmund, Federal Republic of Germany Email: eggenste@cantor.informatik.uni-dortmund.de Recd: December 15, 1992 --------------------------------------------------------------- p(16453) Factors: 2 * 73 * 91632068249 * 277700808673 * 11448152764230473592530455230083 * 16068252092350224688515211397501866530000167283751874194716686791727237350026388649 Date: Mar 21, 1994 Method: TD, ECM (using Lips): p11, p12, p32, restp83 Time: 4 mips years Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: March 21, 1994 --------------------------------------------------------------- p(16481) Factors: 13 * 6056287 * 101893976203 * 13106115986687464068521962050441167031703 * 8584386941226548207023200087852126529715826545260691883361332761037171160010519 Date: January 4, 1999 Method: trial division, ecm, ecm (p41 with first limit 3000000, GMP-ECM version 3, by P. Zimmermann (Inria)) Name: Email: arjen.lenstra@citicorp.com Recd: Janaury 4, 1999 --------------------------------------------------------------- p(16487) Factors: 2 * 3 * 29 * 919 * 9049 * 369091795923213421507 * 2119279340146517411048068969321 * 870899120273386782205827635024863111 * P42 Date: September 6, 1993 Method: TD, ECM (p21, p31), PPMPQS (p36, p42) Time: 0.3 ECM, 0.2 PPMPQS Name: Paul C Leyland Recd: September 6, 1993 --------------------------------------------------------------- p(16493) Factors: 5 * 7 * 29 * 41 * PRP134 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(16519) Factors: 2 * 5 * 5 * 7 * 11 * 79 * 3361 * PRP130 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(16529) Factors: 5 * 7 * 223 * 439 * 104035810991284150485712864291 * 4076712588603526585212999734237033021822614831734833324751525197984520206395983580887376285078351218647 Date: July 9, 1993 Method: TD, ECM (using Lips): p30, rp103 Time: ECM ca. 0.4 mips years Name: Franz-Dieter Berger, Thomas Denny, Johannes Buchmann Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: July 16, 1993 --------------------------------------------------------------- p(16547) Factors: 2 * 2 * 17 * 167 * 281 * 7459 * 50365391 * PRP121 Method: P-1 Time: 2E-6 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(16553) Factors: 2 * 5 * 7 * 7 * 313 * 5434349 * 43931779 * 187707591285061 * PRP105 Date: April 1, 1991 Method: Pollard Rho (p8), ECM (p15) Time: 8E-4 Name: Peter L. Montgomery Recd: April 1, 1991 --------------------------------------------------------------- p(16561) Factors: 11 * 516979 * 495940691973021907 * 2109491516364846558652206635480777 * 335421306571479838210632545037172723889738001046887652604224021794049159243793839 Date: September 27, 1993 Method: ecm (c114 = p34*p81, first limit 10^6, 71st curve) Name: Bruce Dodson, Matt Fante Email: bad0@lehigh.edu Recd: September 27, 1993 --------------------------------------------------------------- p(16567) Factors: 2 * 7 * 29 * 5468761 * 108376148117336821 * PRP112 Date: April 21, 1991 Method: ECM (p18) Time: 8E-3 (3 MIP days) Name: Peter L. Montgomery Recd: April 21, 1991 --------------------------------------------------------------- p(16603) Factors: 3 * 3 * 67 * 10291910521 * 1495027324731058675390118710807 * 13221232635829445577563725091457539 * 24654935727334734995906876562692345168150183391343321899939211 Date: August 8, 1992 Method: TD, Pollard rho (p11), ECM (p35, first limit 3e5, second 4e7), ppmpqs (p31) Time: 0.1 (ECM), 9 hours on 7/16 of a 16K MasPar (ppmpqs) Name: Paul C Leyland & Arjen K Lenstra Email: lenstra@bellcore.com Recd: August 8, 1992 --------------------------------------------------------------- p(16607) Factors: 2 * 1087 * 2027 * 1662157119922293427950547 * P108 Date: 11 August 1992 Method: TD, ECM (p25) Time: 0.25 Name: Paul C Leyland Recd: August 11, 1992 --------------------------------------------------------------- p(16619) Factors: 2 * 3 * 3 * 3 * 3 * 3 * 3 * 3 * 3 * 5 * 8404259 * PRP127 Method: Pollard Rho Time: 1E-5 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(16631) Factors: 2381 * 2971 * 46728253905239 * PRP119 Date: March 21, 1991 Method: ECM Time: 5E-4 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(16633) Factors: 59 * 3919 * 5179151 * 102230426317 * PRP116 Date: April 1, 1991 Method: ECM (p12) Time: 8E-4 Name: Peter L. Montgomery Recd: April 1, 1991 --------------------------------------------------------------- p(16649) Factors: 2 * 2 * 2 * 2 * 3 * 5 * 5 * 5 * 7 * 11 * 11 * 89 * 6797027 * 2023269609457 * 1708630052872831788255481144274057 * 12549837429817640172423025150784051 * 35732755360749087556661350086946162075119059 Date: June 9, 1995 Method: trial division, ecm (p35 with first step 1400000), ppmpqs (p34, p44) Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: June 9, 1995 --------------------------------------------------------------- p(16651) Factors: 7 * 7 * 29 * 1759 * 9014837569 * 681412337369 * 13377969255651216656548229722423 * 23665373982415533840880259341723407461360135136551721361441499375943093189640817 Date: October 27, 1992 Method: ecm (4th curve, first limit 80000, p32 found in 2nd step) Time: < 1.1 hours on RS/6000, model 220 Name: Bruce Dodson, Matt Fante Address: Math Dept, #14 Lehigh Univ, Bethlehem, PA 18015 Email: bad0@ns1.cc.lehigh.edu Phone: (215) 758-3753 Recd: October 28, 1992 --------------------------------------------------------------- p(16657) Factors: 2 * 839 * 11003 * 1691827 * 1501004369323 * PRP114 Date: March 21, 1991 Method: ECM Time: 5E-4 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(16661) Factors: 2 * 79870539176791436929144752527 * PRP110 Date: November 12, 1991 Method: ECM (p29 - first limit 300000) Time: 0.1 Name: Peter L. Montgomery Recd: November 12, 1991 --------------------------------------------------------------- p(16673) Factors: 2 * 2 * 17 * 13697 * 23303550131696255624811513227281 * 278314343570495764239627536109977017348124233088859383162722279599894366445481666638688490583761007939 Date: October 3, 1993 Method: ecm (c133 = p32*p102, first limit 10^6, 103rd curve) Name: Bruce Dodson, Matt Fante Email: bad0@lehigh.edu Recd: October 3, 1993 --------------------------------------------------------------- p(16691) Factors: 2 * 2 * 3 * 3 * 29 * 389 * 4593481087988290128937 * 1642582171199544020975788450831 * 2354675543197309799241099778053822005181461636774721237702660661937347442112491593 Date: September 21, 1993 Method: ecm (c112 = p31*p82, first limit 10^6, found in 1st step before 3*10^5) Name: Bruce Dodson, Matt Fante Email: bad0@lehigh.edu Recd: September 21, 1993 --------------------------------------------------------------- p(16693) Factors 7 * 7 * 11 * 11 * 11 * 19 * 839 * 7477 * 9521802261835485229 * 1715971935671576441659 * 290420958063157878654838799 * 199501615023517776638841527448930842975334873911306752920329 Date: January 23, 1992 Method: ecm Time: 1.5 hours on 16K MasPar Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: January 23, 1992 --------------------------------------------------------------- p(16699) Factors: 5 * 5 * 5 * 5 * 13 * 19 * 196028613326235786449 * 504346020451725661770596740912602997619 * 511569232961586914254822834385589191784926233458310234690914556038377659567 Date: November 7, 1997 Method: trial division, ecm, ppmpqs (two largest factors) Time: approximately 150 mips years for ppmpqs Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com Recd: November 7, 1997 --------------------------------------------------------------- p(16703) Factors: 71 * 613 * 15043603 * 82942444049353211959 * 47209367365830132471850737150994982459 * 3168037537073508463642037344222778867195965884352100476021353874146811 Date: February 27, 1995 Method: trial division, ecm, ppmpqs (two largest factors) Time: approximately 80 mips years Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: February 27, 1995 ---------------------------------------------------------------