p(9001), p(9007), p(9011), p(9013), p(9029), p(9041), p(9043), p(9049), p(9059), p(9067), p(9091), p(9103), p(9109), p(9127), p(9133), p(9137), p(9151), p(9157), p(9161), p(9173), p(9181), p(9187), p(9199), p(9203), p(9209), p(9221), p(9227), p(9239), p(9241), p(9257), p(9277), p(9281), p(9283), p(9293), p(9311), p(9319), p(9323), p(9337), p(9341), p(9343), p(9349), p(9371), p(9377), p(9391), p(9397), p(9403), p(9413), p(9419), p(9421), p(9431), p(9433), p(9437), p(9439), p(9461), p(9463), p(9467), p(9473), p(9479), p(9491), p(9497), p(9511), p(9521), p(9533), p(9539), p(9547), p(9551), p(9587), p(9601), p(9613), p(9619), p(9623), p(9629), p(9631), p(9643), p(9649), p(9661), p(9677), p(9679), p(9689), p(9697), p(9719), p(9721), p(9733), p(9739), p(9743), p(9749), p(9767), p(9769), p(9781), p(9787), p(9791), p(9803), p(9811), p(9817), p(9829), p(9833), p(9839), p(9851), p(9857), p(9859), p(9871), p(9883), p(9887), p(9901), p(9907), p(9923), p(9929), p(9931), p(9941), p(9949), p(9967), p(9973)
p(9001) Factors: 2 * 5 * 23 * 1399 * p96 Date : 3/19/91 Method : ECM Time : <= 678 seconds Name: Bob Silverman Recd: March 19, 1991 --------------------------------------------------------------- p(9007) Factors: 2 * 5 * 7 * 7 * 71 * 1870223 * 12638807 * 172765107143 * p72 Date : 3/19/91 Method : ECM Time : <= 678 seconds Name: Bob Silverman Email: bs@linus.mitre.org Recd: March 19, 1991 --------------------------------------------------------------- p(9011) Factors 2 * 2 * 2 * 3 * 107 * 337 * 3181 * 1643888786067972622263090287 * 19752341396492380946029737061157935663788830074373586192282746209 Date: July 3, 1991 Method: ecm Name: Brandon Dixon, Arjen K. Lenstra Email: bdd@flash.bellcore.com Time: 4 hours on a 16K Maspar. Recd: July 3, 1991 --------------------------------------------------------------- p(9013) Factors: 192551063 * 3670466333 * 105849257035560499163 * 1227335599909585945444439940541831171023527804268799944523353437 Date: April 15, 1991 Method: ECM Name: Wolfgang Niebuhr Address: Lisztstr. 6B, D-2000 Hamburg 50, Germany Email: rz30120@iris.rrz.uni-hamburg.de, RZ30120@DHHUNI4.BITNET Recd: April 15, 1991 --------------------------------------------------------------- p(9029) Factors: 3 * 3 * 5 * 11 * 863956278587 * p87 Date : 3/21/91 Method : ECM with cyclotomic ring deterministic primality test Name : Bob Silverman Email : bs@mitre.org Recd: March 21, 1991 --------------------------------------------------------------- p(9041) Factors: 2 * 2 * 11 * 79 * 103 * 23027 * PRP92 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(9043) Factors: 5 * 443 * 14511468527623 * 532484382376721742935179 * 8015922065361800188226182275485516906207950070779094043779207 Date: April 22, 1991 Method: ECM Time: approx. 0.044 Name: Wolfgang Niebuhr Email: rz30120@iris.rrz.uni-hamburg.de Recd: April 22, 1991 --------------------------------------------------------------- p(9049) Factors: 2 * 2 * 2 * 2 * 3 * 5 * 5 * 7 * 7 * 7680149 * 18997866618359 * 87760870466963566782277 * 62443972532292813105021451 * 3161936771404171036766644897 Date: April 10, 1991 Method: ECM (p14), ppmpqs (p23, p26, p28) Time: 4E-3 (1.5 MIP-days) for ECM; 0.1 for ppmpqs Name: Peter L. Montgomery and Arjen K. Lenstra Recd: April 10, 1991 --------------------------------------------------------------- p(9059) Factors: 2 * 2 * 3 * 5 * 5 * 5 * 5 * 11 * 19 * 367 * 48767 * 32465958883 * 6305268407334143579 * 248497399986817889093 * 119070074688620235984969338854527062761 Date: April 7, 1991 Method: ecm Time: 0.014 Name: Lambert E. Bright Address: 2137 S 48th St., Lincoln, NE 68506 Email: ucas004@unlvm.unl.edu Phone: (402) 488-7827 (home) Recd: April 8, 1991 --------------------------------------------------------------- p(9067) Factors: 2 * 2 * 2 * 7 * 19 * 61 * 3529 * 403412189 * 27539563952089480763728329584083 * PRP53 Date: June 16, 1991 Method: Pollard Rho (p9), ECM (p32 - as step 1 was near 1.7 million) Time: 0.05 (2.5 MIP-weeks) Name: Peter L. Montgomery Recd: June 16, 1991 --------------------------------------------------------------- p(9091) Factors: 2 * 2 * 2 * 2 * 2 * 3 * 7 * 13 * 233 * 1489 * 750323310449747717 * 1442939618671955303 * 162667586990793368411 * 488058909562896492161319055577015521 Date: April 7, 1991 Method: ecm Time: 0.019 Name: Lambert E. Bright Recd: April 8, 1991 --------------------------------------------------------------- p(9103) Factors: 2 * 5 * 11 * 57899 * 167356403 * 489008537 * 1031995099 * 2123938697 * 51721560131 * 9069597224690099 * 570478478428073617211563012577767 Date: March 22, 1991 Method: P-1, Pollard Rho (31 sec to find p9, p9, p10, p10), ECM (p11, p16) Time: 8E-4 Name: Peter L. Montgomery Recd: March 22, 1991 --------------------------------------------------------------- p(9109) Factors 2 * 2 * 5 * 13 * 197 * 12553 * 151880949165412407453382285259 * 41617717777950442167269493874999 * 81490928090038140087257494230599 Date: July 8, 1991 Method: ecm Name: Brandon Dixon, Arjen K. Lenstra Email: bdd@flash.bellcore.com Time: 8 hours on a 16K Maspar. Recd: July 9, 1991 --------------------------------------------------------------- p(9127) Factors: 59 * 59 * 1993 * 45268784051 * 8360114607591209363423040283 * 160323898342544588079885027063595884894059312695127551759 Date: 10 June 1991 Method: TD, ECM (p11, p28), Miller-Rabin for primality test. Time: 0.01 Name: Paul C Leyland Recd: June 10, 1991 --------------------------------------------------------------- p(9133) Factors: 2 * 2 * 2 * 2 * 7 * 7 * 11 * 334751 * p93 Date : 3/21/91 Method : ECM with cyclotomic ring deterministic primality test Name : Bob Silverman Recd: March 21, 1991 --------------------------------------------------------------- p(9137) Factors: 2 * 2 * 5 * 7 * 16927 * 586108583 * 14267510944670457707 * 241049530737932131626943211 * 100668381790008130836622009445939960228647 Date: 19 June 1991 Method: TD, P-1 (p9), ECM (p20), PPMPQS (p27, p42), Miller-Rabin for primality test. Time: 0.02 Name: Peter L Montgomery & Paul C Leyland Recd: June 19, 1991 --------------------------------------------------------------- p(9151) Factors 3 * 3 * 23 * 97 * 12265623791 * 3200650071166793508172179024407 * 734935759145480590015341550054349577172610169971546916407 Date: July 25, 1991 Method: ecm Name: Brandon Dixon, Arjen K. Lenstra Email: bdd@flash.bellcore.com Time: 10 hours on a 16K Maspar. Recd: July 26, 1991 --------------------------------------------------------------- p(9157) Factors 3 * 19 * 19 * 302621903237969018729097623933 * 1914418775935803380820393471675260664177607919579683706492517063249593 Date: August 20, 1991 Method: ecm Time: 10 hours on 16K Maspar Name: Brandon Dixon, Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: August 21, 1991 --------------------------------------------------------------- p(9161) Factors 7 * 7 * 7 * 7 * 11 * 11 * 11 * 8680318783155247604907943872209 * 23853453200718128576096793560254784009009598788981176135901892751 Date: August 21, 1991 Method: ecm Time: approximately 14 hours on 16K Maspar Name: Arjen K. Lenstra, Brandon Dixon Email: lenstra@flash.bellcore.com Recd: August 21, 1991 --------------------------------------------------------------- p(9173) Factors: 3 * 3 * 13 * 1459 * 1098023 * 1826819 * 2774873 * 816789439812089701732857808044986780423205329128839108644721918518204954524613 Date: 21 March 1991 Method: TD (to 32749) + ECM + Rabin for primality test. Time: 4e-6 Name: Paul C Leyland Recd: March 21, 1991 --------------------------------------------------------------- p(9181) Factors: 219898162130646160148443693777 * 3924800382658172928289787950434754475293955223976566423827198658411292291 Date: August 22, 1991 Method: ecm Time: 17 hours on 16K Maspar Name: Arjen K. Lenstra, Brandon Dixon Email: lenstra@flash.bellcore.com Recd: August 22, 1991 --------------------------------------------------------------- p(9187) Factors: 2 * 2 * 2 * 2 * 3 * 37 * 211534073 * 7257914604807833543 * 459729307694396052634753 * PRP48 Date: April 21, 1991 Method: P-1 (p9), ECM (p19), ppmpqs (p24, p48) Time: 0.02 (1 MIP week) for ECM; 0.01 for ppmpqs Name: Peter L. Montgomery and Arjen K. Lenstra Recd: April 21, 1991 --------------------------------------------------------------- p(9199) Factors: 2 * 5 * 5 * 5 * 173 * 44587397 * 64887779609 * 10444491910552876873 * PRP60 Date: April 10, 1991 Method: P-1 (p8), ECM (p11), ppmpqs (p20, p60) Time: 4E-3 (1.5 MIP-days) for P-1 and ECM; 0.2 (70 MIP-days) for ppmpqs. Name: Peter L. Montgomery and Arjen K. Lenstra Recd: April 10, 1991 --------------------------------------------------------------- p(9203) Factors: 7 * 7 * 6247537 * 9600346069 * 1933489941961 * p72 Date : 3/21/91 Method : ECM with cyclotomic ring deterministic primality test Name : Bob Silverman Recd: March 21, 1991 --------------------------------------------------------------- p(9209) Factors: 2 * 2 * 2 * 2 * 2 * 5 * 5 * 7523 * 132696919 * 320213359 * 1035754897 * 1464153496230971071 * 57341687614247032813247 * 56269024937091261589693766021 Date: April 17, 1991 Method: Pollard Rho + P-1 (two p9, p10), ECM (p19), ppmpqs (p24, p29) Time: 6E-3 (2 MIP-days) for ECM; 4E-4 for ppmpqs Name: Peter L. Montgomery and Arjen K. Lenstra Recd: April 16, 1991 --------------------------------------------------------------- p(9221) Factors: 2 * 2 * 5 * 7 * 167 * 20549 * 2532210926489 * 5043797363222530057 * 239076654824494307329242796853320980331758260513875997368991969 Date: April 21, 1991 Method: ecm Time: 0.008 Name: Lambert E. Bright Recd: April 21, 1991 --------------------------------------------------------------- p(9227) Factors: 2 * 71 * 383 * 4891247 * 117713851661177 * p77 Date : 3/21/91 Method : ECM with cyclotomic ring deterministic primality test Name : Bob Silverman Recd: March 21, 1991 --------------------------------------------------------------- p(9239) Factors: 5 * 7 * 31 * 53 * 733 * 8093807 * 10606963561106083109 * p69 Date : 3/21/91 Method : ECM with cyclotomic ring deterministic primality test Name : Bob Silverman Recd: March 21, 1991 --------------------------------------------------------------- p(9241) Factors: 3 * 5 * 7 * 11 * 80768562131 * 2278582481778684707 * 227052891273445775972509706961359 * 39611677969953772180427604855561942703 Date: April 25, 1991 Method: ECM (p11, p19), ppmpqs (p33, p37) Time: 0.1 for ECM and 0.01 for ppmpqs Name: Peter L. Montgomery and Arjen K. Lenstra Recd: April 25, 1991 --------------------------------------------------------------- p(9257) Factors 11 * 67659137267561761099 * 479862588922229114478375828740239 * 6614881559795215335615705035873352432778314585221 Date: August 22, 1991 Method: ecm, ppmpqs Time: approximately 0.15 mips year Name: Arjen K. Lenstra, Peter Montgomery Email: lenstra@flash.bellcore.com Recd: August 22, 1991 --------------------------------------------------------------- p(9277) Factors: 2 * 31 * 41 * 41 * 59 * 3089 * 35831 * 3597987329 * 584906600574469951173323639 * PRP52 Date: April 17, 1991 Method: P-1 (p10), ppmpqs (p27, p52) Time: 6E-3 (2 MIP-days) for ECM; 0.2 for ppmpqs Name: Peter L. Montgomery and Arjen K. Lenstra Recd: April 16, 1991 --------------------------------------------------------------- p(9281) Factors: 2 * 2 * 41 * 271 * p98 Date : 3/21/91 Method : ECM with cyclotomic ring deterministic primality test Name : Bob Silverman Recd: March 21, 1991 --------------------------------------------------------------- p(9283) Factors 29 * 46199 * 522450901870534295023885578406789293371741153 * 4758631966166533765950729466114501310404278930643993 Date: October 28, 1991 Method: ppmpqs Time: approximately 3 mips years Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: October 28, 1991 --------------------------------------------------------------- p(9293) Factors: 31 * 41 * 61 * 109 * 743059077184757 * 1309371968677576183351 * PRP60 Date: April 21, 1991 Method: ECM (p15, p22) Time: 8E-3 (3 MIP days) Name: Peter L. Montgomery Recd: April 21, 1991 --------------------------------------------------------------- p(9311) Factors: 3 * 31 * 37183818597717776705818099 * PRP76 Date: August 18, 1991 Method: ECM/FFT (p26 - first limit 300000) Time: 0.07 Name: Peter L. Montgomery Recd: August 18, 1991 --------------------------------------------------------------- p(9319) Factors 2 * 5 * 32488373 * 2591995102475502400629837151 * 40060404447367342033564893072823 * 158753641761525693094933062982727933 Date: August 24, 1991 Method: ecm, ppmpqs Time: approximately 0.03 mips year Name: Arjen K. Lenstra, Brandon Dixon Email: lenstra@flash.bellcore.com Recd: August 24, 1991 --------------------------------------------------------------- p(9323) Factors 2 * 11 * 1597039 * 249718201356461699625991 * 643434351430326061809018966802028378751414697264727825986430668101285769 Date: August 24, 1991 Method: ecm Time: approximately 1 hour on 16K Maspar Name: Arjen K. Lenstra, Brandon Dixon Email: lenstra@flash.bellcore.com Recd: August 24, 1991 --------------------------------------------------------------- p(9337) Factors 41 * 797 * 284413 * 3639067 * 27467204117557810227059 * 7307660392527236009363263080931113413684323247478966794700701887 Date: July 5, 1991 Method: ecm Name: Brandon Dixon, Arjen K. Lenstra Email: bdd@flash.bellcore.com Time: 1hr on a 16K Maspar. Recd: July 5, 1991 --------------------------------------------------------------- p(9341) Factors: 71597 * 88585051397 * 1216462885440097 * PRP72 Date: April 4, 1991 Method: ECM (p11, p16) Time: 3E-3 (one MIP-day) Name: Peter L. Montgomery Recd: April 4, 1991 --------------------------------------------------------------- p(9343) Factors 2 * 7 * 7 * 43 * 197 * 677 * 197887 * 12774355263733231696230142865099 * 5170962176068488111446502352970391817518430551997055166157 Date: July 5, 1991 Method: ecm Name: Brandon Dixon, Arjen K. Lenstra Email: bdd@flash.bellcore.com Time: 2hrs on a 16K Maspar. Recd: July 5, 1991 --------------------------------------------------------------- p(9349) Factors: 2 * 3 * 5 * 5 * 5 * 5 * 5 * 11 * 61 * 127 * 1149297726008550523 * 8617842041408096339 * 722541130809695098142167523 * 695260427725034032066571279161 Date: April 21, 1991 Method: ECM (two p19), ppmpqs (p28, p30) Time: 0.01 for ECM; 0.002 for ppmpqs Name: Peter L. Montgomery and Arjen K. Lenstra Recd: April 21, 1991 --------------------------------------------------------------- p(9371) Factors 7 * 41 * 232688725641250120483398653007467 * 158984264317542831101618791295987617366955041849863649862966065824979 Date: October 12, 1991 Method: ecm Time: 29 hours in 16K Maspar Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: October 12, 1991 --------------------------------------------------------------- p(9377) Factors: 2 * 3 * 41 * 5081 * 22324025885149 * 27644378497 * 6571659431 * p64 Date : 3/21/91 Method : ECM with cyclotomic ring deterministic primality test Name : Bob Silverman Recd: March 21, 1991 --------------------------------------------------------------- p(9391) Factors 165443 * 9790731321779586586087259650066793179 * 8523963917058689134908320449710703625384619463294129684945607 Date: January 6, 1992 Method: ppmpqs Time: approximately 4 MIPS year Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: January 6, 1992 --------------------------------------------------------------- p(9397) Factors 5 * 23 * 10549339 * 1795816322300450288211967757375577529016011 * 6856851588151564293739636066240906949266634974881197 Date: October 22, 1991 Method: ppmpqs Time: approximately 2.5 mips years Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: October 22, 1991 --------------------------------------------------------------- p(9403) Factors: 3 * 3 * 73 * 54469 * 3087978115628017897188161 * PRP72 Date: April 21, 1991 Method: P +- 1 (p25 - first limit 1000000) Time: 8E-3 (3 MIP days) Name: Peter L. Montgomery Recd: April 21, 1991 --------------------------------------------------------------- p(9413) Factors 2 * 5 * 7 * 17 * 2293 * 2347 * 3748977937787987857621186330343 * 767524356943095663111980261431242310861552784772131272044954457 Date: September 21, 1991 Method: ecm Time: 3 hours on 16K Maspar Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: September 21, 1991 --------------------------------------------------------------- p(9419) Factors: 3 * 5 * 11 * 181 * 4483 * 5280110107862769184377629 * 231779853528643426476492387151531 * 121670193011821332559214280413948030933 Date: 1 July 1991 Method: TD, ECM (p25), PPMPQS (p33, p39), Miller-Rabin for primality test. Time: 0.03 Name: Paul C Leyland Recd: July 1, 1991 --------------------------------------------------------------- p(9421) Factors: 3 * 5 * 7 * 286610365102452516647 * PRP81 Date: April 4, 1991 Method: ECM (p21) Time: 3E-3 (one MIP-day) Name: Peter L. Montgomery Recd: April 4, 1991 --------------------------------------------------------------- p(9431) Factors: 2 * 2 * 11 * 379877 * 301828621 * 255680231061834401 * PRP71 Date: March 21, 1991 Method: Pollard Rho (p9), ECM (p18) Time: 5E-4 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(9433) Factors: 3 * 3 * 11 * 11 * 29 * 283 * 174943 * 32873875280417 * p78 Date : 3/21/91 Method : ECM with cyclotomic ring deterministic primality test Name : Bob Silverman Recd: March 21, 1991 --------------------------------------------------------------- p(9437) Factors: 222363020679619532578423898977447405572633024277 * 113501532188549219942937978808170580066203223396451661731 Date: March 31, 1992 Method: ppmpqs Time: 9.5 days on 5/8 of a 16K MasPar Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: March 31, 1992 --------------------------------------------------------------- p(9439) Factors: 2 * 5 * 5 * 7 * 44718410522636480925123788579 * 1655331703249966369004743496781134427407035525369025024268020102155363939 Date: 12 June 1991 Method: TD, ECM (p29), Miller-Rabin for primality test. Time: 0.01 Name: Paul C Leyland Recd: June 10, 1991 --------------------------------------------------------------- p(9461) Factors: 2 * 5 * 5 * 7 * 71 * 109141 * 14666237 * 7321232770619 * 498327730422341 * 56508707193981619361947 * 4213466776895030642506464142425585829 Date: April 17, 1991 Method: ecm Time: 0.002 Name: Lambert E. Bright Recd: April 17, 1991 --------------------------------------------------------------- p(9463) Factors: 2 * 2 * 3 * 3019 * 113698961694089 * PRP85 Method: ECM Time: 1E-4 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(9467) Factors: 2 * 3 * 5 * 7 * 1979 * 16451 * 168278266477 * p83 Date : 3/21/91 Method : ECM with cyclotomic ring deterministic primality test Name : Bob Silverman Recd: March 21, 1991 --------------------------------------------------------------- p(9473) Factors 2 * 7 * 19 * 43 * 1905248728507820029892696093 * 1854951549941558853419813640709538717436324062576436043432439720410046921 Date: August 29, 1991 Method: ecm Time: approximately 10 hours on 16K Maspar Name: Arjen K. Lenstra, Brandon Dixon Email: lenstra@flash.bellcore.com Recd: August 29, 1991 --------------------------------------------------------------- p(9479) Factors 2 * 5 * 5 * 409 * 409 * 311667141367 * 210234628338067821360288451444939* 79777413461982312724457028179571110714199869859622397 Date: August 18, 1991 Method: ppmpqs Time: approximately 0.3 mips year Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: August 18, 1991 --------------------------------------------------------------- p(9491) Factors: 2 * 43 * 53 * 53 * 5381 * 555739 * 3565451 * 21950581 * 367302071483 * 2813694102337471571 * PRP45 Date: April 10, 1991 Method: ECM (p12, p19) Time: 4E-3 (1.5 MIP-days) Name: Peter L. Montgomery Recd: April 10, 1991 --------------------------------------------------------------- p(9497) Factors: 7 * 7 * 31 * 2018369 * 68330765210831 * 3346970493097081398739 * 1253239923166440694486147 * 62941849588469529149085380587653541 Date: 13 May 1991 Method: ECM (p14, p22), PPMPQS (p25, p35), Miller-Rabin for primality test. Time: 0.015 (0.01 ECM, 0.005 PPMPQS) Name: Paul C Leyland & Peter L Montgomery Recd: May 13, 1991 --------------------------------------------------------------- p(9511) Factors: 2 * 3 * 7 * 53 * p101 Date : 3/21/91 Method : ECM with cyclotomic ring deterministic primality test Name : Bob Silverman Recd: March 21, 1991 --------------------------------------------------------------- p(9521) Factors: 11 * 1303 * 1327728639709 * p88 Date : 3/21/91 Method : ECM with cyclotomic ring deterministic primality test Name : Bob Silverman Recd: March 21, 1991 --------------------------------------------------------------- p(9533) Factors: 2 * 2 * 5 * 11 * 67 * 3391 * 74463150714317 * PRP83 Method: P-1 Time: 2E-6 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(9539) Factors 5 * 7 * 7 * 139 * 769 * 250121699 * 3060572438243871886040299912649 * 4771107921179275556370336074107275209200777067765106256999 Date: August 21, 1991 Method: ppmpqs Time: approximately 0.4 mips year Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: August 21, 1991 --------------------------------------------------------------- Subject: Date: Sun, 29 Aug 1999 19:20:01 -0700 (PDT) From: challenge-administrator@rsa.com (RSA Factoring Challenge Administrator) To: mishima@sdl.hitachi.co.jp 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 ---------------------------------------------------------------