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 QAA00328 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 PAA23140; Wed, 30 Jan 2002 15:54:42 -0500 (EST) Date: Wed, 30 Jan 2002 15:54:42 -0500 (EST) Message-Id: <200201302054.PAA23140@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 110 digits - 114 digits ----------------------- As of December 31, 1993 12:30 PST p(10453) Factors: 3 * 3 * 173 * 81140133914866571147 * 36011095695247946135497 * 354570916581510257943529403 * 6710215377925896421874439833082540401 Date: 18 June 1991 Method: TD, ECM (p20, p23), PPMPQS (p27, p37), Miller-Rabin for primality test. Time: 0.02 Name: Peter L Montgomery & Paul C Leyland Recd: June 19, 1991 --------------------------------------------------------------- p(10457) Factors 2 * 11 * 61 * 301463 * 24427890097632035645378669 * 1151203010294863127241234789924562990735244712569573301881126642627273908661 Date: September 21, 1991 Method: ecm Time: 14 hours on 16K Maspar Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: September 21, 1991 --------------------------------------------------------------- p(10459) Factors: 2 * 5 * 29 * 5794003 * 42636829 * 1912876792143415811 * 5241670386032211881 * PRP56 Date: June 16, 1991 Method: ECM (first p19), ppmpqs (second p19, p56) Time: 0.04 (2 MIP-weeks) for ECM; 0.05 for ppmpqs Name: Peter L. Montgomery and Arjen K. Lenstra Recd: June 16, 1991 --------------------------------------------------------------- p(10463) Factors: 7 * 31 * 229 * 3989 * 7496072430307 * 1171834521131395546049 * 510416699502710897579496209017067 * 13793318844675233861499029106987203 Date: 17 June 1991 Method: TD, P-1 (p13), ECM (p22), PPMPQS (p33, p35), Miller-Rabin for primality test. Time: 0.02 Name: Peter L Montgomery & Paul C Leyland Recd: June 19, 1991 --------------------------------------------------------------- p(10477) Factors: 7 * 7 * 11 * 10184329 * 65719669 * 338616169611133 * PRP78 Date: April 4, 1991 Method: P-1 (both p8), ECM (p15) Time: 3E-3 (one MIP-day) Name: Peter L. Montgomery Recd: April 4, 1991 --------------------------------------------------------------- p(10487) Factors: 2 * 2 * 7496153776705709 * 21830686510265806726517 * P71 Date: 17 June 1991 Method: TD, ECM (p16, p23), Miller-Rabin for primality test. Time: 0.01 Name: Peter L Montgomery & Paul C Leyland Recd: June 17, 1991 --------------------------------------------------------------- p(10499) Factors 3 * 5 * 5 * 5 * 5 * 7 * 19 * 797 * 34127 * 9628026171996771462528682639 * 293686675375076032798967938147745684324133834168145665126587194309367 Date: September 25, 1991 Method: ecm Time: 14 hours on 16K Maspar Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: September 25, 1991 --------------------------------------------------------------- p(10501) Factors 2 * 2 * 13 * 22483 * 88523044005249051767 * 347474451437900279824346531700434575561 * 546742831956710721580970101534389206600096233 Date: August 24, 1991 Method: ecm, ppmpqs Time: approximately 0.2 mips year Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: August 24, 1991 --------------------------------------------------------------- p(10513) Factors: 7 * 33751 * 96593574811608053904642084035001558443427256870981050326599884053473306664254308871083046971894011680021 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(10529) Factors 2 * 5 * 13 * 911 * 10861 * 1034225120533718667723197978437 * 20922487576499633759385136874883018479661644621762387830950876435175967 Date: July 21, 1992 Method: ppmpqs Time: 50 hours on 7/16 of a 16K MasPar Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: July 21, 1992 --------------------------------------------------------------- p(10531) Factors: 2 * 7 * 11 * 919 * 252731 * 268759 * 110494301364197716597733 * PRP71 Date: April 21, 1991 Method: ECM (p24 - first limit 30000) Time: 8E-3 (3 MIP days) Name: Peter L. Montgomery Recd: April 21, 1991 --------------------------------------------------------------- p(10559) Factors 5 * 31042700659 * 1652590640744753372078593 * 84440313443074434827766186954988957 * 1863871300555539324063783646108906802173 Date: September 27, 1991 Method: ecm, ppmpqs Time: two hours in 16K Maspar (p25, ecm), short for remaining c75 (ppmpqs) Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: September 27, 1991 --------------------------------------------------------------- p(10567) Factors: 2 * 2 * 1361 * 907450602767998381062277 * P82 Date: 17 June 1991 Method: TD, ECM (p24), Miller-Rabin for primality test. Time: 0.01 Name: Paul C Leyland Recd: June 17, 1991 --------------------------------------------------------------- p(10589) Factors: 2 * 2 * 2 * 5 * 7 * 3221 * 64891061273882292319974843737277641127201625021611015187095531188114861805163293142363377737246518190591 Date: 20 March 1991 Method: TD + Rabin for primality test. Time: 1e-7 Name: Paul C Leyland Recd: March 20, 1991 --------------------------------------------------------------- p(10597) Factors 60090792119233 * 1431365087844135177409209254853352063536903383 * 751178479398605742068492693990956539461399966101171 Date: November 10, 1991 Method: ppmpqs Time: approximately 3.5 MIPS year Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: November 10, 1991 --------------------------------------------------------------- p(10601) Factors: 7 * 7 * 463 * 10169 * 314257 * 14904778451 * PRP86 Method: ECM Time: 1E-4 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(10607) Factors: 31 * 89603 * 713771 * 5081116189501072411 * PRP79 Date: April 4, 1991 Method: ECM (p19) Time: 3E-3 (one MIP-day) Name: Peter L. Montgomery Recd: April 4, 1991 --------------------------------------------------------------- p(10613) Factors: 3 * 19 * 37 * 43 * 2311 * 1373797834261 * 18134571509309 * 748851893881412971602822769 * PRP50 Date: April 21, 1991 Method: P-1 (p13), ECM (p14), ppmpqs (p27, p50) Time: 8E-3 (3 MIP days) for ECM; 0.2 for ppmpqs Name: Peter L. Montgomery and Arjen K. Lenstra Recd: April 21, 1991 --------------------------------------------------------------- p(10627) Factors: 23 * 227 * 452687723 * 2753402723043292008547 * 82978669390382156403290674578556469 * 173340141009055847171929270479354719231033 Date: May 16, 1991 Method: Pollard Rho (p9), ECM (p22 - first limit 30000), ppmpqs (p35, p42) Time: 0.02 for ECM; 0.1 for ppmpqs Name: Peter L. Montgomery and Arjen K. Lenstra Recd: May 16, 1991 --------------------------------------------------------------- p(10631) Factors: 7 * 7 * 11 * 18665117 * 9774984256585518853550073094634967387613446159186809043038994594128591597125709605399938126626021981 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(10639) Factors: 5 * 5 * 5 * 23 * 73 * 124052899 * 656114936017 * 4961365423356149515998769431437 * 1280767652141806918787339911270280455243486300635374639 Date: August 16, 1991 Method: ppmpqs Time: approximately 0.25 mips year Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: August 17, 1991 --------------------------------------------------------------- p(10651) Factors 2 * 2 * 41 * 59 * 96487 * 197507 * 10176878061507493326479194189260797333 * 67073775568356357377461814524748671734692712571429872519449 Date: November 4, 1991 Method: ppmpqs Time: approximatley 3.5 MIPS year Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: November 5, 1991 --------------------------------------------------------------- p(10657) Factors: 2 * 2 * 2 * 3301 * 5521 * 119609741 * 214775222953 * 44425333077277 * 535415697706184513 * 1591109546816377543 * 956142935593745607236619559998563 Date: April 4, 1991 Method: Pollard Rho (p9), P-1 (p14), ECM (p12, p18, p19) Time: 3E-3 (one MIP-day) Name: Peter L. Montgomery Recd: April 4, 1991 --------------------------------------------------------------- p(10663) Factors: 2 * 6521 * 103069 * 689797 * 2044561 * 10869451 * 79039711 * 8284540868721944839 * 952366762222208471093 * 11356765235326290801285149093387519 Date: April 17, 1991 Method: Pollard Rho (first p8), P-1 (second p8), ECM (p21), ppmpqs (p19, p35) 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(10667) Factors: 3 * 3 * 3 * 3 * 461 * 94394984483 * 2146270458229 * 564750956421287 * 116712327964992769 * PRP51 Date: April 21, 1991 Method: P-1 (p11), ECM (p13, p15, p18) Time: 8E-3 (3 MIP days) Name: Peter L. Montgomery Recd: April 21, 1991 --------------------------------------------------------------- p(10687) Factors: 7 * 7 * 11 * 47783653368775459711 * 618297078623000653390751 * 4203928948442362927768432751843 * 2929979095874941974214569340413569 Date: Sep 25, 1991 Method: ECM (p20,p24) MPQS Time: approx. 0.049 for mpqs Name: Wolfgang Niebuhr Email: rz30120@iris.rrz.uni-hamburg.de Recd: September 25, 1991 --------------------------------------------------------------- p(10691) Factors: 2 * 5 * 7 * 7 * 227 * 1852470188382661435457948870578378749865339719727466087397647764104230055522873548453118109835876196351767 Date: 20 March 1991 Method: TD + Rabin for primality test. Time: 1e-7 Name: Paul C Leyland Recd: March 20, 1991 --------------------------------------------------------------- p(10709) Factors: 5 * 11 * 479 * 1433 * 10514123777 * 92425492909 * PRP82 Method: Pollard Rho + P-1 Time: 5E-5 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(10711) Factors 2 * 2 * 2 * 173 * 607 * 43237 * 104089 * 160350602735053152077901029 * 499019390667084591701070610777 * 871124617796737014726586109494802087711 Date: September 28, 1991 Method: ecm, ppmpqs Time: 1.5 hours on 16K Maspar (p27, ecm), short for remaining c69 (ppmpqs) Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: September 28, 1991 --------------------------------------------------------------- p(10723) Factors: 2 * 311 * 54957181 * PRP100 Method: P-1 Time: 3E-6 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(10729) Factors 2 * 2 * 5 * 7 * 7 * 41 * 25733 * 583543 * 389321663523156061170303927657078439 * 1399842993615409019934914821046842336630171971073402916298193 Date: October 18, 1991 Method: ppmpqs Time: approximately 3 mips years Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: October 18, 1991 --------------------------------------------------------------- p(10733) Factors 3 * 7 * 599 * 715289 * 6934003 * 22297661 * 446072028427795724633232768853 * 556585017143554012223176393309982413472897021359368114127 Date: July 11, 1991 Method: ecm Name: Brandon Dixon, Arjen K. Lenstra Email: bdd@flash.bellcore.com Time: 5 hours on a 16K Maspar. Recd: July 12, 1991 --------------------------------------------------------------- p(10739) Factors: 2 * 5 * 7 * 43 * 12874903 * 14313575069 * 46128625930301 * 5038729117866823 * 56126539515937185186293 * PRP38 Date: April 21, 1991 Method: P-1 (p8, p11), ECM (p14, p16), ppmpqs (p23, p38) Time: 0.01 for ECM; 4E-3 for ppmpqs Name: Peter L. Montgomery and Arjen K. Lenstra Recd: April 21, 1991 --------------------------------------------------------------- p(10753) Factors: 2 * 2 * 5 * 7 * 11 * 11 * 7481 * 44172234619 * 9970873745543 * 42068905871779 * 11354900552223754580227 * PRP44 Date: April 17, 1991 Method: ECM (p11, p13, p14), ppmpqs (p23, p44) Time: 6E-3 (2 MIP-days) for ECM; 4E-3 for ppmpqs Name: Peter L. Montgomery and Arjen K. Lenstra Recd: April 16, 1991 --------------------------------------------------------------- p(10771) Factors 2 * 2 * 5 * 7 * 7 * 71 *263 * 429953 * 4384507 * 665650879797888583064368959627153391 * 23981324119956332436267813004884403352366752342212208163 Date: October 2, 1991 Method: ppmpqs Time: approximately 1.3 mips year Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: October 2, 1991 --------------------------------------------------------------- p(10781) Factors: 2 * 3 * 101 * 811 * 202732394063 * PRP94 Date: March 22, 1991 Method: ECM (p12) Time: 8E-4 Name: Peter L. Montgomery Recd: March 22, 1991 --------------------------------------------------------------- p(10789) Factors: 3 * 5 * 31 * 6585024886763689768917377260235286316350061 * 224250305100202990355012945014655208631951917086966496264003509857 Date: December 31, 1993 Method: trial division, ppmpqs (two largest factors) Time: 10 days on a 16K MasPar for ppmpqs Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: December 31, 1993 --------------------------------------------------------------- p(10799) Factors 2 * 2 * 5 * 5 * 7 * 7 * 687521 * 509751097 * 295994056010540392157637713394344847435919 * 1526973083633084210101220827911197547343528413912641 Date: October 3, 1991 Method: ppmpqs Time: approximately 1.3 mips year Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: October 3, 1991 --------------------------------------------------------------- p(10831) Factors: 2 * 2 * 3 * 3 * 3 * 3237287 * 211174403603 * 518468783184300142013 * 2741991273423347171685251257 * 10940352462034731911892621934736467750314673 Date: 19 August 1991 Time: 0.15 (0.07 ECM, 0.08 PPMPQS) Method: TD, ECM (p12, p21), PPMPQS (p28, p44) Name: Peter L Montgomery & Paul C Leyland Recd: August 19, 1991 --------------------------------------------------------------- p(10837) Factors: 5 * 5 * 14222937480307 * 379593846025939 * PRP82 Date: April 4, 1991 Method: ECM (p14, p15) Time: 3E-3 (one MIP-day) Name: Peter L. Montgomery Recd: April 4, 1991 --------------------------------------------------------------- p(10847) Factors: 2 * 2 * 2 * 3 * 109 * 4943 * 32546057 * 16143581712641068601 * PRP78 Date: April 4, 1991 Method: Pollard Rho (p8), ECM (p20) Time: 3E-3 (one MIP-day) Name: Peter L. Montgomery Recd: April 4, 1991 --------------------------------------------------------------- p(10853) Factors 2 * 2 * 2 * 11 * 29 * 269 * 19892808251 * 1884346929441497 * 40099093436189332562789287514562524479 * 1456293402671385141761754082864356486948391 Date: September 7, 1991 Method: ppmpqs Time: approximately 0.1 mips year Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: Spetember 7, 1991 --------------------------------------------------------------- p(10859) Factors: 2 * 2 * 2 * 5 * 17 * 41 * 13187519 * 22000409 * 22332209 * 993429126821 * 1545182780369 * PRP61 Date: March 22, 1991 Method: Pollard Rho (p8), P-1 (p8), ECM (p12, p13) Time: 8E-4 Name: Peter L. Montgomery Recd: March 22, 1991 --------------------------------------------------------------- p(10861) Factors: 2 * 1715895239230629650113 * PRP90 Date: April 10, 1991 Method: ECM (p22) Time: 4E-3 (1.5 MIP-days) Name: Peter L. Montgomery Recd: April 10, 1991 --------------------------------------------------------------- p(10867) Factors: 19 * 37 * 426680760559727 * PRP94 Date: March 22, 1991 Method: ECM (p15) Time: 8E-4 Name: Peter L. Montgomery Recd: March 22, 1991 --------------------------------------------------------------- p(10883) Factors: 2 * 2 * 7 * 823 * 735457369 * 1663940281 * 710742643000129639 * 15305706306924817612118519 * PRP46 Date: May 16, 1991 Method: Pollard Rho + P-1 (p9, p10), ECM (p18), ppmpqs (p27, p46) Time: 0.02 for ECM; 0.01 for ppmpqs Name: Peter L. Montgomery and Arjen K. Lenstra Recd: May 16, 1991 --------------------------------------------------------------- p(10889) Factors 5 * 5 * 1021 * 812535407927277562247457799065133 * 732602286239323792036492281201286363 * 153490955127157419529141254065470394149 Date: October 1, 1991 Method: ecm, ppmpqs Time: three hours in 16K Maspar (p33, ecm), short for remaining c75 (ppmpqs) Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: October 1, 1991 --------------------------------------------------------------- p(10891) Factors: 13 * 156631 * 1906345827464759 * PRP90 Method: P-1 Time: 5E-5 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(10903) Factors 2 * 3 * 3 * 6982857837283584758841625049 * 22009093527346260634551100893042939514673199566384864076979814382974922653036056619 Date: October 1, 1991 Method: ecm Time: 12.5 hours in 16K Maspar Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: October 1, 1991 --------------------------------------------------------------- p(10909) Factors 5 * 11 * 19 * 83 * 953 * 436848827 * 14935768073 * 600919361719905343083302419 * 9183520924596487989476244371588255816823919322969272220297 Date: September 8, 1991 Method: ppmpqs Time: approximately 0.25 mips year Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: September 9, 1991 --------------------------------------------------------------- p(10937) Factors: 119687 * 2393537 * 527143796885782424861015834819 * 27718563540912160802494121521314670692770273336565841530349662734020333 Date: 21 June 1991 Method: TD, ECM (p30), Miller-Rabin for primality test. Time: 0.01 Name: Paul C Leyland Recd: June 21, 1991 --------------------------------------------------------------- p(10939) Factors: 2 * 5 * 7 * 7 * 967 * 12183691067 * 642181570744868711 * 926436422799527741 * 11068308451559366753699 * 112824463425329296571935792752745956611 Date: 13 May 1991 Method: ECM (p10, two p18), PPMPQS (p23, p39), 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(10949) Factors 2 * 2 * 5 * 5 * 5 * 4207353251 * 2749841468831739190147288196839440764735034960149 * 837376510131537526941823984420677627936132147590393 Date: June 7, 1992 Method: ppmpqs Time: approximately 3.5 mips-years Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: June 7, 1992 --------------------------------------------------------------- p(10957) Factors 3 * 5 * 7 * 383 * 11177 * 126958371104512991244907 * 12817443841648261937212473873818334871 * 7299489226341122687091069112816731783254027 Date: September 7, 1991 Method: ppmpqs Time: approximately 0.1 mips year Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: September 8, 1991 --------------------------------------------------------------- p(10973) Factors: 2 * 5 * 11 * 71 * 6427 * 57751 * 764276233203089 * 509423655947192801837753189 * PRP58 Date: July 21, 1991 Method: ECM (p15, p27 - first limit 300000) Time: 0.06 Name: Peter L. Montgomery Recd: July 21, 1991 --------------------------------------------------------------- p(10979) Factors: 2 * 3 * 5 * 347 * 1440375067 * 150776211863 * 252828079181 * 1709000181938878639 * PRP58 Date: April 17, 1991 Method: P-1 (p10), ECM (both p12, p19) Time: 6E-3 (2 MIP-days) Name: Peter L. Montgomery Recd: April 16, 1991 --------------------------------------------------------------- p(10987) Factors: 71147 * 456262525204769 * 9302585698810769441 * 330478764316247676643682223709414069 * 77035874969648676199813663523516086361 Date: May 16, 1991 Method: ECM, MPQS Time: MPQS : 0.0396 Name: Wolfgang Niebuhr Email: rz30120@iris.rrz.uni-hamburg.de Recd: May 16, 1991 --------------------------------------------------------------- p(10993) Factors: 5 * 313 * 24103 * 23485432903433 * PRP91 Date: March 22, 1991 Method: ECM (p14) Time: 8E-4 Name: Peter L. Montgomery Recd: March 22, 1991 --------------------------------------------------------------- p(11003) Factors: 2 * 13 * 649769 * 1337459 * 1521755013341 * 1374123431933073749 * 17737397360996189148746429 * PRP44 Date: May 16, 1991 Method: P-1 (p13), ECM (p19), ppmpqs (p26, p44) Time: 0.02 for ECM; 0.01 for ppmpqs Name: Peter L. Montgomery and Arjen K. Lenstra Recd: May 16, 1991 --------------------------------------------------------------- p(11027) Factors: 2 * 6245574318620215938931118796185778469601977093582002883378591282113172452044816149167715089342584795988159121183 Date: 20 March 1991 Method: TD + Rabin for primality test. Time: 1e-7 Name: Paul C Leyland Recd: March 20, 1991 --------------------------------------------------------------- p(11047) Factors: 31 * 67 * 1097 * 1499 * 103290491 * 2440783285877732947 * PRP77 Date: April 4, 1991 Method: Pollard Rho (p9), ECM (p19) Time: 3E-3 (one MIP-day) Name: Peter L. Montgomery Recd: April 4, 1991 --------------------------------------------------------------- p(11057) Factors: 3 * 3 * 73 * 26257141 * PRP103 Method: P-1 Time: 1E-6 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(11059) Factors: 5 * 17 * 116483 * 198701 * 439133 * 260746231 * 15263141441 * 377056591091 * 16995092286217 * 92775290860026327407 * 9004506767355238900197912219323 Date: April 4, 1991 Method: Pollard Rho (p9), ECM (p11, p12, p14), ppmpqs (p20, p31) Time: 3E-3 (one MIP-day) for ECM and Pollard Rho; 6E-4 for ppmpqs Name: Peter L. Montgomery and Arjen K. Lenstra Recd: April 4, 1991 --------------------------------------------------------------- p(11069) Factors: 2 * 5 * 347 * 5986805699902911827460696295816208075505075827788051013240366796788028008076241750243168558270884501599214131 Date: 20 March 1991 Method: TD + Rabin for primality test. Time: 1e-7 Name: Paul C Leyland Recd: March 20, 1991 --------------------------------------------------------------- p(11071) Factors: 11617 * 92189 * 19872900898640683017238072282475272988704567777884498633544865766811223021805196068857795739098071181311 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(11083) Factors: 7 * 11 * 185238944587 * 82233403978573 * 2664633270702604777 * 14113526424315347692259 * PRP45 Date: May 16, 1991 Method: P-1 (p12), ECM (p14, p19), ppmpqs (p23, p45) Time: 0.02 for ECM; 0.01 for ppmpqs Name: Peter L. Montgomery and Arjen K. Lenstra Recd: May 16, 1991 --------------------------------------------------------------- p(11087) Factors: 2 * 2 * 3 * 97 * 17035254836794604858443428328597365019243052950809977 * 1302496675019679492259222615310867825268549948068407991333 Date: December 31, 1993 Method: trial division, ppmpqs (two largest factors) Time: 11 days on a 16K MasPar for ppmpqs Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: December 31, 1993 --------------------------------------------------------------- p(11093) Factors: 2 * 2 * 2 * 3 * 3 * 3 * 3 * 7 * 7 * 733 * 12967 * 223247 * 267541 * 6156383423 * 366348109000375009 * 617427697565895854633 * 1106325446643224967648704652156820942644589 Date: April 1, 1991 Method: P-1 (p10), ECM (p18, p21) Time: 8E-4 Name: Peter L. Montgomery Recd: April 1, 1991 --------------------------------------------------------------- p(11113) Factors 17 * 19 * 101 * 1609 * 77417 * 92779 * 672573865778009818754944774966383984067657303 * 139448969949338192537814898872992417817562058750551 Date: January 2, 1992 Method: ppmpqs Time: approximately 3.5 MIPS year Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: January 2, 1992 --------------------------------------------------------------- p(11117) Factors: 2 * 2 * 3 * 2399 * 14057 * 38851 * 23320361331915325160507 * PRP78 Date: July 21, 1991 Method: ECM (p23) Time: 0.06 Name: Peter L. Montgomery Recd: July 21, 1991 --------------------------------------------------------------- p(11119) Factors: 5 * 13 * 13 * 23 * 61543 * 31785013681221223753563055862468744609065458867516701317870584789032869560330382621453267255085341692173 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(11131) Factors: 2 * 3 * 3 * 3 * 3 * 3 * 3 * 197 * 18408464827610139979391 * 631863240713254151158943276918263 * 13152993987047241397892054214902395256221912548984883 Date: October 29, 1991 Method: ecm, ppmpqs Time: 1.5 hours on 16K Maspar (p23, ecm), approximately 0.2 mips year ppmpqs Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: October 29, 1991 --------------------------------------------------------------- p(11149) Factors: 5 * 5 * 7 * 11 * 11 * 11 * 13 * 43 * 19913 * 438533 * 9701664207999227 * PRP79 Date: April 4, 1991 Method: ECM (p16) Time: 3E-3 (one MIP-day) Name: Peter L. Montgomery Recd: April 4, 1991 --------------------------------------------------------------- p(11159) Factors: 3 * 5 * 479 * 808111 * 4690416796756433 * PRP88 Date: March 22, 1991 Method: ECM (p16) Time: 8E-4 Name: Peter L. Montgomery Recd: March 22, 1991 --------------------------------------------------------------- p(11161) Factors: 71 * 1051 * 8647 * 23888730634871921070797 * PRP82 Date: June 5, 1991 Method: ECM (p23 - first limit 70000) Time: 0.04 (2 MIP-weeks) Name: Peter L. Montgomery Recd: June 5, 1991 --------------------------------------------------------------- p(11171) Factors: 2 * 2 * 2 * 3 * 11 * 47147 * 827873 * PRP100 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(11173) Factors: 3 * 9283 * 2618043143458563589888022611871159984573255365975036674407989959508986061506541164477957284848289989323876911 Date: 20 March 1991 Method: TD + Rabin for primality test. Time: 1e-7 Name: Paul C Leyland Recd: March 20, 1991 --------------------------------------------------------------- p(11177) Factors: 7 * 29 * 163 * 386647 * 1606491923825322852713583977279214256004137249 * 3722466215985743424648089497868294564144809796499240150853 Date:August 18, 1992 Method: TD, PPMPQS :p46 restp58 (using LIPS) Time: PPMPQS ca. 60 mips years Name: Franz-Dieter Berger, Thomas Denny, Johannes Buchmann Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 6600 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024167 Recd: August 18, 1992 --------------------------------------------------------------- p(11197) Factors: 2 * 47 * 117946007 * 3854267979349 * 46525181627254159 * PRP74 Date: March 22, 1991 Method: Pollard Rho (p9), ECM (p17 before p13) Time: 8E-4 Name: Peter L. Montgomery Recd: March 22, 1991 --------------------------------------------------------------- p(11213) Factors: 5 * 36931 * 131076480107 * 1479212800381 * 224362220665024976225401 * 324407400184385162245937123 * 45276662202842281333693870739680469 Date: 13 May 1991 Method: ECM (p12, p13, p24), PPMPQS (p27, p35), Miller-Rabin for primality test Time: 0.017 (0.01 ECM, 0.007 PPMPQS) Name: Paul C Leyland & Peter L Montgomery Recd: May 13, 1991 --------------------------------------------------------------- p(11239) Factors 3 * 5 * 139 * 5021 * 2356550431 * 2298014298725893661926341649216619447 * 2844372408717810654179858451685129057950784188836768923660351 Date: February 9, 1992 Method: ppmpqs Time: approximately 3 mips years Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: February 9, 1992 --------------------------------------------------------------- p(11243) Factors 2 * 11 * 41 * 619 * 335483395283282283900763765299541298866741442668264421 * 903242005301144465910293325897519054493341932530361749 Date: July 8, 1993 Method: ppmpqs Time: twelve days on 16K MasPar Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: June 8, 1993 --------------------------------------------------------------- p(11251) Factors: 11 * 223 * 11072641 * 3892028002847 * PRP91 Date: March 22, 1991 Method: P-1 (p8), ECM (p13) Time: 8E-4 Name: Peter L. Montgomery Recd: March 22, 1991 --------------------------------------------------------------- p(11257) Factors 2 * 5 * 19 * 103 * 5521 * 14726671 * 320322552458106084692270202415412262710213 * 392693005922046155777023638358775408582785024992585687007 Date: June 16, 1992 Method: ppmpqs Time: approximately 3.3 mips years Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: June 16, 1992 --------------------------------------------------------------- p(11261) Factors 7 * 7 * 8650443105061341277 * 487990258066369095599 * 909531296913372142591764765419 * 1116179874254542155910247818881949876825081 Date: October 26, 1991 Method: ecm, ppmpqs Time: 15 minutes for p21 on 16K Maspar, short for ppmpqs Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: October 26, 1991 --------------------------------------------------------------- p(11273) Factors 3 * 3 * 5 * 34301 * 1750116561999317868689 * 89767650242076863046326843309218047897266401724774887989751056656704137454609379076433 Date: October 25, 1991 Method: ecm Time: 26 minutes on 16K Maspar Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: October 25, 1991 --------------------------------------------------------------- p(11279) Factors 2 * 2 * 2 * 2 * 2 * 2 * 5 * 8418735626949973617503 * 1232079689567662686148201863995544247703 * 78507734924917342278622201969372653526213641483293 Date: October 26, 1991 Method: ecm Time: 18 hours on 16K Maspar (new record for ecm, first 40 digit) Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: October 26, 1991 --------------------------------------------------------------- p(11287) Factors: 2 * 2 * 2 * 2 * 3 * 2089 * 4289 * 48787998943 * PRP95 Date: March 21, 1991 Method: ECM Time: 6E-4 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(11299) Factors 2 * 2 * 2 * 2 * 5 * 5 * 7 * 7 * 199 * 383 * 433 * 38691695825898659 * 328392478590336818627554411 * 40292264665592861392793553147809629292894046697454089492879 Date: September 9, 1991 Method: ppmpqs Time: approximately 0.25 mips year Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: September 10, 1991 --------------------------------------------------------------- p(11311) Factors 2 * 5 * 31 * 389 * 20568999179 * 66381707163855676369153177839936100052357 * 2321987747107568894134525837410546224641667197624265009551 Date: July 9, 1992 Method: ppmpqs Time: 36 hours on 7/16 of a 16K MasPar Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: July 9, 1992 --------------------------------------------------------------- p(11317) Factors: 2 * 2 * 2 * 3 * 7 * 7 * 7 * 7 * 401 * 25517146381504957 * 648522424067638321 * 481398709284180438834208306637 * PRP43 Date: June 16, 1991 Method: ECM (p17, p18), ppmpqs(p30, p43) Time: 0.04 (2 MIP-weeks) for ECM; 0.03 for ppmpqs Name: Peter L. Montgomery and Arjen K. Lenstra Recd: June 16, 1991 --------------------------------------------------------------- p(11321) Factors: 7 * 7932399790501 * PRP100 Method: P-1 Time: 6E-5 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(11329) Factors: 2 * 2 * 2 * 2 * 5 * 11 * 13 * 31 * 47 * 188521900028539984640539196843 * 150914279571314208236356330317924158170881393487999817921132102936413883411909 Date: October 29, 1991 Method: ecm, ppmpqs Time: 12 hours on 16K Maspar Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: October 29, 1991 --------------------------------------------------------------- p(11351) Factors: 31 * 5125487 * PRP106 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(11353) Factors: 37 * 131 * 154998760670603487338680549846403 * 840985217905626667416965970921140515740523508052049101991240160034678097494139 Date: August 6, 1993 Method: ecm (c111 = p33*p78, first limit 2*10^6, 108th curve) Name: Bruce Dodson, Matt Fante Email: bad0@lehigh.edu Recd: August 9, 1993 --------------------------------------------------------------- p(11369) Factors: 2 * 5 * 11 * 11 * 11 * 13 * 2819 * 2961863 * 429981094541 * PRP88 Method: P-1 Time: 2E-5 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(11383) Factors: 97 * 743 * 1181 * 26095789 * 578014577557 * PRP87 Date: March 21, 1991 Method: P-1 (p8), ECM (p12) Time: 2E-4 Name: Peter L. Montgomery Recd: March 21, 1991 ---------------------------------------------------------------