From challenge-administrator@majordomo.rsasecurity.com Wed Jan 30 16:03:16 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 QAA00314 for ; Wed, 30 Jan 2002 16:03:12 -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 00:00:39 UT Received: (from daemon@localhost) by cameos.majordomo.rsasecurity.com (8.8.8+Sun/notrash) id PAA23244; Wed, 30 Jan 2002 15:54:46 -0500 (EST) Date: Wed, 30 Jan 2002 15:54:46 -0500 (EST) Message-Id: <200201302054.PAA23244@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 105 digits - 109 digits ----------------------- As of October 1, 1992 12:00 PST p(9547) Factors: 2 * 3 * 4789513 * p97 Date : 3/21/91 Method : ECM with cyclotomic ring deterministic primality test Name : Bob Silverman Recd: March 21, 1991 --------------------------------------------------------------- p(9551) Factors: 2 * 7 * 29 * 443 * 2848123 * 4014992483 * 4536472613999549 * PRP68 Date: April 21, 1991 Method: Pollard Rho (p10), ECM (p16) Time: 8E-3 (3 MIP days) Name: Peter L. Montgomery Recd: April 21, 1991 --------------------------------------------------------------- p(9587) Factors: 11 * 887 * p101 Date : 3/21/91 Method : ECM with cyclotomic ring deterministic primality test Name : Bob Silverman Recd: March 21, 1991 --------------------------------------------------------------- p(9601) Factors: 2 * 2 * 3 * 3 * 3 * 17 * 1668773 * 238932675392410475833831979 * 292647048146550655702884300724318247831136814856106789964385381944879 Date: July 23, 1991 Method: ecm Time: 0.312 Name: Lambert E. Bright Recd: July 23, 1991 --------------------------------------------------------------- p(9613) Factors 2 * 2 * 2 * 2 * 2 * 3 * 13 * 2221 * 17351 * 1313703023 * 436353373966580397917 * 9080696550249676789573032306194101011088655376350607201573607859 Date: July 11, 1991 Method: ecm Name: Brandon Dixon, Arjen K. Lenstra Email: bdd@flash.bellcore.com Time: 1 hour on a 16K Maspar. Recd: July 11, 1991 --------------------------------------------------------------- p(9619) Factors: 2 * 2 * 5 * 7 * 13 * 3559292203463 * p89 Date : 3/21/91 Method : ECM with cyclotomic ring deterministic primality test Name : Bob Silverman Recd: March 21, 1991 --------------------------------------------------------------- p(9623) Factors: 2 * 2 * 5 * 7 * 7 * p102 Date : 3/21/91 Method : ECM with cyclotomic ring deterministic primality test Name : Bob Silverman Recd: March 21, 1991 --------------------------------------------------------------- p(9629) Factors 2 * 5 * 83 * 530286784937706911 * 22937997556118341826131256337825583547* 30516621727966601476612609073541177320130021899 Date: August 31, 1991 Method: ppmpqs Time: approximately 0.3 mips year Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: September 1, 1991 --------------------------------------------------------------- p(9631) Factors 3 * 5 * 11 * 347 * 34774687 * 1478416717810558156388373349 * 107416111513614173164521515526098311762262711753929646348977647911 Date: September 3, 1991 Method: ppmpqs Time: approximately 1 mips year Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: September 3, 1991 --------------------------------------------------------------- p(9643) Factors 2 * 3 * 11 * 11 * 17 * 59 * 1051 * 18121 * 6789343219 * 529406169987866667194661551 * 7410575277276286048391435842348425129426768748099393727 Date: July 11, 1991 Method: ecm Name: Brandon Dixon, Arjen K. Lenstra Email: bdd@flash.bellcore.com Time: 3 hours on a 16K Maspar. Recd: July 12, 1991 --------------------------------------------------------------- p(9649) Factors: 5 * 5 * 7 * 37 * 13435043 * 196650541961 * p83 Date : 3/21/91 Method : ECM with cyclotomic ring deterministic primality test Name : Bob Silverman Recd: March 21, 1991 --------------------------------------------------------------- p(9661) Factors: 2 * 3 * 3 * 19 * 61 * 60470681 * 56570197256201 * 1614017485555401576827065861633 * PRP49 Date: May 2, 1991 Method: P-1 (p8), ECM (p14), ppmpqs (p31, p49) Time: 0.02 for ECM; 0.2 for ppmpqs Name: Peter L. Montgomery and Arjen K. Lenstra Recd: May 2, 1991 --------------------------------------------------------------- p(9677) Factors: 5 * 13 * p103 Date : 3/21/91 Method : ECM with cyclotomic ring deterministic primality test Name : Bob Silverman Recd: March 21, 1991 --------------------------------------------------------------- p(9679) Factors: 5 * 7 * 31 * 26478883987010812519 * 20490683543534202430663660677688402956116531734042272565379808671207016826803755767 Date: April 30, 1991 Method: ecm Time: 0.001 Name: Lambert E. Bright Recd: April 30, 1991 --------------------------------------------------------------- p(9689) Factors 2 * 3 * 5 * 540935878226809371541 * 19584863048286699344040195759218701 * 2107913319944095119661842601900810820439581588789 Date: August 23, 1991 Method: ecm, ppmpqs Time: approximately 0.2 mips year Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: August 23, 1991 --------------------------------------------------------------- p(9697) Factors: 2 * 2 * 2 * 5 * 11 * 4605947 * PRP96 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(9719) Factors: 2 * 3 * 3 * 3 * 5 * 11 * 34542713 * 7982579407921 * 2536547758038109 * PRP66 Date: March 21, 1991 Method: Pollard Rho (p8), P-1 (p13), ECM (p16) Time: 4E-4 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(9721) Factors: 2 * 2 * 2 * 2 * 7 * 7 * 7 * 13 * 13 * 11119 * 5181672949 * PRP86 Method: ECM Time: 1E-4 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(9733) Factors: 2 * 67658810206263443 * PRP88 Date: April 4, 1991 Method: ECM (p17) Time: 3E-3 (one MIP-day) Name: Peter L. Montgomery Recd: April 4, 1991 --------------------------------------------------------------- p(9739) Factors: 2 * 2 * 2 * 2 * 3 * 3 * 5 * 23 * 503 * 2326026947 * 147617232861515336849 * 108635673667658645634547 * PRP46 Date: April 21, 1991 Method: ECM (p10, p21, p24 - last as step 1 neared 13000) Time: 2E-3 (1 MIP week) for ECM; 4E-3 for ppmpqs (abandoned as p24 found) Name: Peter L. Montgomery and Arjen K. Lenstra Recd: April 21, 1991 --------------------------------------------------------------- p(9743) Factors 3 * 29 * 57593 * 357913 * 16732221353036712846623937989253664662796431389 * 44828985063866370963243662485683645821600465879 Date: September 6, 1991 Method: ppmpqs Time: approximately 1 mips year Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: September 7, 1991 --------------------------------------------------------------- p(9749) Factors: 3 * 5 * 5 * 5 * 7 * 7 * 2566709006479 * 64292934152989429 * 43798907329844164213 * PRP53 Date: April 10, 1991 Method: ECM (p13, p17, p20) Time: 4E-3 (1.5 MIP-days) Name: Peter L. Montgomery Recd: April 10, 1991 --------------------------------------------------------------- p(9767) Factors: 19 * 29346078371 * 155862180860903742930142547 * 21087145794761124623916080269951298912728189478575795414074359516087 Date: July 1, 1991 Method: ecm Time: 0.137 Name: Lambert E. Bright Recd: July 1, 1991 --------------------------------------------------------------- p(9769) Factors 2 * 2 * 3 * 5 * 184180433401156765994265609473 * 264887626291782624261674953815451 * 642375092019188979001566396853788697810589 Date: September 11, 1991 Method: ecm Time: 2 hours (33 digit factor) and 4 hours (30 digit factor) on 16K MasPar Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: September 11, 1991 --------------------------------------------------------------- p(9781) Factors 2 * 3 * 5 * 97 * 12379 * 546661 * 38098181074599115385221930513 * 2924944816579782774692127654576476997473782736081286349037456447 Date: September 13, 1991 Method: ecm Time: 6 hours on 16K Maspar Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: September 14, 1991 --------------------------------------------------------------- p(9787) Factors: 2 * 3 * 13 * 79 * 3722221 * 4514323894935716569 * 72144356482556241901690815725783 * PRP45 Date: April 25, 1991 Method: ECM (p19), ppmpqs (p32, p45) Time: 0.1 for ECM and 0.1 for ppmpqs Name: Peter L. Montgomery and Arjen K. Lenstra Recd: April 25, 1991 --------------------------------------------------------------- p(9791) Factors: 7 * 7 * 419 * 23116246453 * 43952263739 * 4429048338321781632432181 * 27012379730362639819881983284291418287762633653462051527 Date: April 30, 1991 Method: ecm Time: 0.023 Name: Lambert E. Bright Recd: April 30, 1991 --------------------------------------------------------------- p(9803) Factors: 2 * 184790933 * 351253668977455770401501389 * 22431024540235011276151002986718496396584441927632372673140211247328341 Date: June 22, 1991 Method: ecm Time: 0.095 Name: Lambert E. Bright Recd: June 22, 1991 --------------------------------------------------------------- p(9811) Factors: 157 * 197 * 283 * 16937 * 11713538269 * 30760970845291 * PRP71 Date: March 22, 1991 Method: P-1 (p11), ECM (p14) Time: 8E-4 Name: Peter L. Montgomery Recd: March 22, 1991 --------------------------------------------------------------- p(9817) Factors 3 * 3 * 640193 * 19787137164268599343284858892943 * 437203872463352126910635953779071 * 69931684711244248979111077303815929 Date: September 14, 1991 Method: ecm, ppmpqs Time: 15 hours on 16K Maspar (32 digit factor) ecm, unknown epsilon for ppmpqs Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: September 14, 1991 --------------------------------------------------------------- p(9829) Factors: 5 * 11 * 1753 * 33831047589116707 * PRP85 Method: P-1 Time: 5E-5 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(9833) Factors: 7 * 7 * 263 * 15440979887529932821707437 * 590571179956899826137919703 * 36425093614173659550311780743157667416153491222091 Date: June 19, 1991 Method: ecm (p27), ppmpqs (p26, p50) Time: 0.09 for ecm; 0.05 (estimate) for ppmpqs Name: Lambert E. Bright and Arjen K. Lenstra Recd: June 19, 1991 --------------------------------------------------------------- p(9839) Factors: 5 * 37 * 61 * PRP102 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(9851) Factors: 2 * 2 * 3 * 11 * 47 * 305369 * 216249353 * 389076495931 * 683021596468516900194175217 * PRP50 Date: April 25, 1991 Method: Pollard Rho (p9), ECM (p12), ppmpqs (p27, p50) Time: 0.1 for ECM and Pollard Rho and 0.1 for ppmpqs Name: Peter L. Montgomery and Arjen K. Lenstra Recd: April 25, 1991 --------------------------------------------------------------- p(9857) Factors: 167 * 528195288529821449479917550501 * P74 Date: August 20, 1991 Method: ecm Time: 0.3 Name: Lambert E. Bright Recd: August 20, 1991 --------------------------------------------------------------- p(9859) Factors: 3 * 5 * 19 * 1099369 * 42661536433 * 855119815913569123 * 12604853322407565749 * 41468188847495740155010951823422944981531815028659 Date: May 6, 1991 Method: ecm Time: 0.005 Name: Lambert E. Bright Recd: May 6, 1991 --------------------------------------------------------------- p(9871) Factors: 3 * 59 * 179 * 906641 * 3891172331 * 1581082576653707627 * 2501489830377515079752149229 * 15760807752355526536715704876005303245173 Date: May 13, 1991 Method: ecm Time: 0.028 Name: Lambert E. Bright Recd: May 13, 1991 --------------------------------------------------------------- p(9883) Factors: 3 * 3 * 3 * 103 * 109 * 83176909 * 169830953 * PRP85 Method: Pollard Rho + P-1 Time: 6E-6 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(9887) Factors: 3 * 7187 * 11087 * 47699 * 302711 * 1255217961440647 * PRP73 Date: March 21, 1991 Method: ECM Time: 5E-4 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(9901) Factors: 3 * 3 * 19 * 8760671 * 72723107 * 574112599 * PRP81 Method: Pollard Rho Time: 5E-6 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(9907) Factors: 5 * 103 * 467 * 1192256459 * 2738114828265246811 * PRP74 Date: April 4, 1991 Method: Pollard Rho (p10), ECM (p19) Time: 3E-3 (one MIP-day) Name: Peter L. Montgomery Recd: April 4, 1991 --------------------------------------------------------------- p(9923) Factors: 2 * 2 * 3 * 263 * 10109549 * 6341921711089263599933 * 8789479202196421169228438969 * 7618862136758322393014940974957935459933625839 Date: 23 August 1991 Time: 0.20 (0.08 ECM, 0.12 PPMPQS) Method: TD, Pollard Rho (p8), ECM (p22), PPMPQS (p28, p46) Name: Paul C Leyland & Peter L Montgomery Recd: August 23, 1991 --------------------------------------------------------------- p(9929) Factors: 3 * 5 * 7 * 29 * 97 * 593 * 13837177 * 22912819 * 424984637477 * PRP72 Date: April 4, 1991 Method: Pollard Rho + P-1 (two p8's), ECM (p12 - not until third pass) Time: 3E-3 (one MIP-day) Name: Peter L. Montgomery Recd: April 4, 1991 --------------------------------------------------------------- p(9931) Factors: 2 * 7 * 7 * 2731 * 3719 * 872419 * 14707201 * 81860819353 * 3375557465782615298817227 * PRP49 Date: April 25, 1991 Method: P-1 (p8, p11), ppmpqs (p25, p49) Time: 0.1 for P-1 and ECM; 0.05 for ppmpqs Name: Peter L. Montgomery and Arjen K. Lenstra Recd: April 25, 1991 --------------------------------------------------------------- p(9941) Factors: 2 * 5 * 17 * 89 * 577 * 991 * 34897 * 56478676901824923720790717803020068807390392703358815454850931808997362114928092205311547593 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(9949) Factors: 5 * 5 * 5 * 298817 * 1231817 * 1746314573 * 2059541402700149 * 3349280061647122780963 * PRP47 Date: April 17, 1991 Method: Pollard Rho (p10), ECM (p16), ppmpqs (p22, p47) Time: 6E-3 (2 MIP-days) for ECM; 6E-3 for ppmpqs Name: Peter L. Montgomery and Arjen K. Lenstra Recd: April 16, 1991 --------------------------------------------------------------- p(9967) Factors: 33997 * 2243406595635302771831 * 311484148347720031725794210390780328952778247950496878023740585108586407674269913 Date: April 15, 1991 Method: ecm Time: 0.006 Name: Lambert E. Bright Recd: April 15, 1991 --------------------------------------------------------------- p(9973) Factors: 2 * 2 * 7 * 7 * 43 * 1148261 * 1947691 * 202985507 * 367586221 * 9344860083743 * PRP61 Date: April 4, 1991 Method: P-1 and Pollard Rho (two p9's), ECM (p13) Time: 3E-3 (one MIP-day) Name: Peter L. Montgomery Recd: April 4, 1991 --------------------------------------------------------------- p(10007) Factors: 2 * 76322123 * PRP99 Method: Pollard Rho Time: 5E-6 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(10009) Factors 5 * 5 * 2161 * 143585202290449860720609962730120083777682117661 * 5228057265738244627169818257540537593504075380422541487 Date: July 30, 1992 Method: ppmpqs Time: 100 hours on 7/16 of a 16K MasPar Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: July 30, 1992 --------------------------------------------------------------- p(10037) Factors: 3 * 280673 * 68753460053047802001877527578828389970103075468639374907220187220508439497903171574163977301080664881 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(10039) Factors: 3 * 5 * 1021431667 * 33774583771 * PRP87 Method: P-1 + Pollard Rho Time: 2E-5 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(10061) Factors: 3 * 5 * 307 * 349 * 22079 * 488662647229 * 29378299941832427 * 8630359222794288795667 * PRP47 Date: April 17, 1991 Method: ECM (p12, p17), ppmpqs (p22, p47) Time: 6E-3 (2 MIP-days) for ECM; 6E-3 for ppmpqs Name: Peter L. Montgomery and Arjen K. Lenstra Recd: April 16, 1991 --------------------------------------------------------------- p(10067) Factors 2 * 17 * 89 * 6829 * 248311352072752924106966432763459229 * 16510838491473567751970036853621420872150614559952549517239559427 Date: June 11, 1992 Method: ppmpqs Time: approximately 3.8 mips years Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: June 11, 1992 --------------------------------------------------------------- p(10069) Factors: 3 * 3 * 3 * 5 * 7 * 353 * 24175069 * 189481682407 * 554965951434539 * PRP69 Date: April 4, 1991 Method: ECM (p12, p15) Time: 3E-3 (one MIP-day) Name: Peter L. Montgomery Recd: April 4, 1991 --------------------------------------------------------------- p(10079) Factors: 2 * 2 * 3 * 3 * 5 * 76369 * 7634111 * PRP93 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(10091) Factor: 3 * 3 * 5 * 107 * 5454781976882115706159 * P82 Date: 17 June 1991 Method: TD, ECM (p22), Miller-Rabin for primailty test. Time: 0.01 Name: Paul C Leyland Recd: June 17, 1991 --------------------------------------------------------------- p(10093) Factors: 11 * 13 * 13 * 103 * 74560821933810034127561 * PRP79 Date: April 4, 1991 Method: ECM (p23 - first limit 30000) Time: 3E-3 (one MIP-day) Name: Peter L. Montgomery Recd: April 4, 1991 --------------------------------------------------------------- p(10099) Factors 3 * 5 * 5 * 5 * 7 * 13 * 137 * 5222111283962814121557063481 * 5205751605442468183816051901843845616782078079830493979435924493219320553 Date: September 14, 1991 Method: ecm Time: 35 minutes on 16K Maspar Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: September 15, 1991 --------------------------------------------------------------- p(10103) Factors: 3 * 5 * 5 * 89 * 2423 * 16087 * 513854243633985303187053861104576618287636158354909119368627320263649636072299861350182804975269 Date: 20 March 1991 Method: TD + Rabin for primality test. Time: 1e-7 Name: Paul C Leyland Recd: March 20, 1991 --------------------------------------------------------------- p(10111) Factors: 31 * 7841 * 745287619 * 361159808641 * 404959250879 * 1153796426383477 * 1585486503243175526107 * 3052396926993691980800068580076661 Date: April 10, 1991 Method: Pollard Rho (p9), ECM (two p12, p16), ppmpqs (p22, p34) Time: 4E-3 (1.5 MIP-days) for Pollard Rho and ECM; 1E-3 for ppmpqs Name: Peter L. Montgomery and Arjen K. Lenstra Recd: April 10, 1991 --------------------------------------------------------------- p(10133) Factors: 2 * 3 * 179209 * 97783123 * 4051373153 * PRP84 Method: Pollard Rho and P-1 Time: 1E-6 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(10139) Factors: 3 * 5 * 163 * 2069 * 30757 * 215687 * 249661291099432127 * 53864614956701329883252281 * PRP48 Date: April 21, 1991 Method: ECM (p18, p26) Time: 8E-3 (3 MIP days) Name: Peter L. Montgomery Recd: April 21, 1991 --------------------------------------------------------------- p(10141) Factors: 2 * 5 * 7 * 7 * 71 * 66549316508937161 * 334818446004447251417 * 5206538323685077301979084269 * 53569633888456195414423973792366369333 Date: 19 June 1991 Method: TD, ECM (p17, p21), PPMPQS (p28, p38), Miller-Rabin for primality test. Time: 0.02 Name: Peter L Montgomery & Paul C Leyland Recd: June 19, 1991 --------------------------------------------------------------- p(10151) Factors: 7 * 13 * 1297 * 1699 * 93675113667061 * PRP86 Date: April 4, 1991 Method: ECM (p14) Time: 3E-3 (one MIP-day) Name: Peter L. Montgomery Recd: April 4, 1991 --------------------------------------------------------------- p(10159) Factors 2 * 5 * 11 * 11 * 11 * 13 * 13 * 67 * 35521 * 73571 * 3893065642838896827434770218673 * 177011191349573585565809859515030817614578078349232808435699 Date: July 17, 1991 Method: ecm Name: Brandon Dixon, Arjen K. Lenstra Email: bdd@flash.bellcore.com Time: 5 hours on a 16K Maspar. Recd: July 17, 1991 --------------------------------------------------------------- p(10163) Factors 2 * 2 * 2 * 19 * 709 * 18861541622743 * 32607717389719753271193803854851220867693 * 4306939935283807533793292432263925911665597135647 Date: August 29, 1991 Method: ppmpqs Time: approximately 1 mips year Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: August 29, 1991 --------------------------------------------------------------- p(10169) Factors: 2 * 2 * 2 * 5 * 7 * 31 * 1022593631691420814922711 * P80 Date: 17 June 1991 Method: TD, ECM (p25), Miller-Rabin for primailty test. Time: 0.01 Name: Paul C Leyland Recd: June 17, 1991 --------------------------------------------------------------- p(10177) Factors: 2 * 5 * 67 * 149 * 398221331 * 2812860033701 * 36113202141441435679 * 12391263682409827654974292111 * 6807230959323476031694905403354009 Date: 14 June 1991 Method: TD, P-1 (p9), ECM (p13, p20), PPMPQS (p29, p34), Miller-Rabin for primality test. Time: 0.01 Name: Peter L Montgomery & Paul C Leyland Recd: June 17, 1991 --------------------------------------------------------------- p(10181) Factors: 11 * 493389776967721 * PRP92 Date: April 4, 1991 Method: ECM (p15) Time: 3E-3 (one MIP-day) Name: Peter L. Montgomery Recd: April 4, 1991 --------------------------------------------------------------- p(10193) Factors 5 * 11 * 232022612593609871026465596485855336921887 * 32660260217533473718099602788666525053660900200904241846359655821 Date: September 30, 1992 Method: ppmpqs Time: ten days on 7/16 of a 16K MasPar Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: September 30, 1992 --------------------------------------------------------------- p(10211) Factors 3 * 5 * 7 * 7 * 11 * 147709816673 * 173091561984499162263553187838041 * 2529566111735764918919688059039735620393532767509701676650621 Date: September 11, 1991 Method: ecm Time: 14 hours on 16K MasPar Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: September 11, 1991 --------------------------------------------------------------- p(10223) Factors 109 * 703980298456945997077668700003 * 7925784170656907276089713424381669135212830304281820220328034319376432106613 Date: September 17, 1991 Method: ecm Time: 11.5 hours on 16K Maspar Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: September 17, 1991 --------------------------------------------------------------- p(10243) Factors: 2 * 11 * 97 * 4337 * 279637 * 345979 * PRP90 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(10247) Factors: 5 * 11 * 183138242799813992489 * PRP86 Date: April 21, 1991 Method: P +- 1 (p21) Time: 8E-3 (3 MIP days) Name: Peter L. Montgomery Recd: April 21, 1991 --------------------------------------------------------------- p(10253) Factors: 3 * 7 * 29 * 83 * 619 * 337092431273949787 * 147080383628612397484933207 * 271675933064020400729002031 * 2104583309342302899932817209579 Date: April 21, 1991 Method: ECM (first p27 - first limit 30000, later p18), ppmpqs (second p27, p31) Time: 8E-3 (3 MIP days) for ECM; 2E-3 for ppmpqs Name: Peter L. Montgomery and Arjen K. Lenstra Recd: April 21, 1991 --------------------------------------------------------------- p(10259) Factors 2 * 3 * 5 * 31 * 41 * 41 * 3803 * 38692243 * 1318307740582681773551616037574064132935357 * 3153816266466169100522310386344018656061749317573 Date: August 31, 1991 Method: ppmpqs Time: approximately 1 mips year Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: August 31, 1991 --------------------------------------------------------------- p(10267) Factors: 5 * 7 * 19 * 397 * 1213 * 23333 * 59194045196912355142691 * PRP73 Date: April 4, 1991 Method: ECM (p23 - first limit 30000) Time: 3E-3 (one MIP-day) Name: Peter L. Montgomery Recd: April 4, 1991 --------------------------------------------------------------- p(10271) Factors: 2 * 1979 * 47317 * 136139 * 166949 * PRP90 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(10273) Factors: 2 * 3 * 3 * 67 * 89 * 31517 * 337089051618699678013307975644022719902509304785369820878036644325772123238069356459785093026679311 Date: 20 March 1991 Method: TD + Rabin for primality test. Time: 1e-7 Name: Paul C Leyland Recd: March 20, 1991 --------------------------------------------------------------- p(10289) Factors: 5 * 5 * 2069 * 5057119 * 21625701396965475371313691 * P72 Date: 17 June 1991 Method: TD, Pollard rho (p7), ECM (p26), Miller-Rabin for primality test. Time: 0.01 Name: Paul C Leyland & Peter L Montgomery Recd: June 17, 1991 --------------------------------------------------------------- p(10301) Factors: 3 * 1283 * 48479 * 176754313 * 2844282146377517880922249 * PRP68 Date: August 8, 1991 Method: P-1 (p9), ECM (p25 first limit 300000) Time: 0.07 Name: Peter L. Montgomery Recd: August 8, 1991 --------------------------------------------------------------- p(10303) Factors: 2 * 2 * 2 * 3 * 3 * 3 * 3 * 22307 * 169093 * 954476759 * 64804428631 * 881639369971078319 * PRP59 Date: April 17, 1991 Method: Pollard Rho (p9), P-1(p11), ECM (p18) Time: 3E-3 (1 MIP-day) Name: Peter L. Montgomery Recd: April 16, 1991 --------------------------------------------------------------- p(10313) Factors: 2 * 3 * 5 * 7 * 11 * 37 * 1613 * 28860131 * PRP93 Method: Pollard Rho Time: 5E-6 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(10321) Factors: 141388970291 * PRP98 Date: March 21, 1991 Method: ECM Time: 6E-4 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(10331) Factors: 2 * 3 * 13 * 13 * 1844867 * 58309074538931 * 105537978401324726113223 * PRP63 Date: June 5, 1991 Method: ECM (p14, p24 - first limit 70000) Time: 0.04 (2 MIP-weeks) Name: Peter L. Montgomery Recd: June 5, 1991 --------------------------------------------------------------- p(10333) Factors: 2 * 5 * 7 * 7 * 98207 * 1852699 * 2387401 * 76559713829 * PRP78 Method: P-1 Time: 5E-5 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(10337) Factors 7 * 7 * 1487 * 402043 * 3027387679 * 1522899594185066275129288576247 * 18835829047405375517193174806566573797064073950984154325479 Date: August 27, 1991 Method: ppmpqs Time: approximately 1 mips year Name: Arjen K. Lenstra, Brandon Dixon Email: lenstra@flash.bellcore.com Recd: August 28, 1991 --------------------------------------------------------------- p(10343) Factors: 2 * 2 * 5 * 41 * 757 * 1531 * 471281 * 203694167 * 873510523 * 43949202264451853 * 2076990055575173230841 * PRP39 Date: April 21, 1991 Method: Pollard Rho (two p9), ECM (p17), ppmpqs (p22, p39) Time: 8E-3 (3 MIP days) for ECM; 4E-3 for ppmpqs Name: Peter L. Montgomery and Arjen K. Lenstra Recd: April 21, 1991 --------------------------------------------------------------- p(10357) Factors: 2 * 3 * 11 * 29 * 370012914311 * PRP94 Method: ECM Time: 1E-4 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(10369) Factors: 3 * 5 * 7 * 7 * 101 * 326147 * 2393676679549 * 858163121240979368273 * PRP65 Date: July 21, 1991 Method: ECM (p13 - not until third ECM pass, p21) Time: 0.06 Name: Peter L. Montgomery Recd: July 21, 1991 --------------------------------------------------------------- p(10391) Factors 2 * 53 * 442291 * 75261864559468548929941796570099576712736323394159 * 1416152957117945151027205310967858592765041773641901 Date: July 8, 1992 Method: ppmpqs Time: two weeks on spare cycles of ~ 30 sparcs/dec5000. Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: July 8, 1992 --------------------------------------------------------------- p(10399) Factors: 5 * 5 * 7 * 13 * 167 * 255166451 * 5804976029 * 143486083627076833619268326057 * 68381632127672877898949849215386592751927657316583862917 Date: August 15, 1991 Method: ppmpqs Time: approximately 0.25 mips year Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: August 15, 1991 --------------------------------------------------------------- p(10427) Factors: 2 * 2 * 2 * 3 * 29 * 11597 * 209581 * 431377 * 27240209151457 * 53630263719845267179 * 15823215408612442391528623 * 464156088572334821297490470417447 Date: April 17, 1991 Method: P-1 (p14), ECM (p26 - first limit 200000), ppmpqs (p20, p33) 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(10429) Factors: 2 * 5 * 419 * 722479231822134325059544853589166752242028082381 * 2651731378984004334406875312246044766044293051438874802629 Date: September 30, 1992 Method: ppmpqs Time: nine days on 7/16 of a 16K MasPar Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: September 30, 1992 --------------------------------------------------------------- p(10433) Factors: 2 * 3 * 1297 * 1640277809038698827 * PRP87 Date: April 4, 1991 Method: ECM (p19) Time: 3E-3 (one MIP-day) Name: Peter L. Montgomery Recd: April 4, 1991 ---------------------------------------------------------------