From challenge-administrator@majordomo.rsasecurity.com Wed Jan 30 16:03:26 2002 Return-Path: Received: from pathfinder.securitydynamics.com (securecare.securitydynamics.com [205.181.76.19]) by shire.ontko.com (8.9.3/8.9.3/Debian 8.9.3-21) with SMTP id QAA00352 for ; Wed, 30 Jan 2002 16:03:24 -0500 X-Authentication-Warning: shire.ontko.com: Host securecare.securitydynamics.com [205.181.76.19] claimed to be pathfinder.securitydynamics.com Received: from cameos.rsasecurity.com by pathfinder.securitydynamics.com via smtpd (for shire.ontko.com [199.164.165.1]) with SMTP; 31 Jan 2002 00:00:51 UT Received: (from daemon@localhost) by cameos.majordomo.rsasecurity.com (8.8.8+Sun/notrash) id PAA23204; Wed, 30 Jan 2002 15:54:46 -0500 (EST) Date: Wed, 30 Jan 2002 15:54:46 -0500 (EST) Message-Id: <200201302054.PAA23204@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 160 digits - 164 digits ----------------------- As of July 11, 1999 p(21739) Factors: 2 * 2 * 5 * 5 * 6661155168794831 * 11672374932269017621 * 3694016347597645560083153177833801097 * 19423267655451356378209461915220399950149 * 2115543949478327428679719805342890780765682023 Date: November 26, 1998 Method: trial division, ecm (p37 with first limit 3000000, GMP-ECM version 3, by P. Zimmermann (Inria)), MAGMA ppmpqs (two largest factors) Time: 165176s on PII-200 for ppmpqs Address: http://www.loria.fr/CCH (for "Centre Charles Hermite") Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com Recd: November 26, 1998 --------------------------------------------------------------- p(21757) Factors: 5 * 101 * 4027627 * 34322137 * 222012380696854439969327 * 917623703846583972918476069267 * 96966690272500548094986570699000066893459772191719010833299356591837242338129534477537307 Date: February 5, 1997 Method: trial division, ecm (p30 with first step 1000000) Name: Bruce Dodson, Arjen K. Lenstra Email: arjen.lenstra@citicorp.com Recd: February 5, 1997 --------------------------------------------------------------- p(21767) Factors 2 * 1778583991 * 31322500829 * 13495136384716472484609101092487731300411249301292427008277904416145896521570713878208578038927140078523394433545146171805511654699507781847 Date: October 1, 1992 Method: ecm Time: short Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: October 1, 1992 --------------------------------------------------------------- p(21773) = 1583686493395870966948009671395865822795672894536038862338156386728978440750804511255165887509780914761378135481419390517929452840972389900716740839713345277226 (160 digits) Factors: 2 * 3 * 1451 * 23293 * 346661423 * 139665856829077 * 11061371062355854923329 * 48702015241332814872365606320293255039162318372888097 * 299414938348352746041751662398379004114603103086640539 Date: December 27, 1996 (found); January 3, 2000 (sent) Method: trial division, ecm, ppmpqs (two largest factors) Time: approximately 100 mips years Name: Bruce Dodson, Arjen K. Lenstra Email: arjen.lenstra@citicorp.com --------------------------------------------------------------- p(21787) Factors 3 * 3 * 5 * 5 * 23 * 72377206001 * 168795687045009491 * 28271986960783147968869721618516521876347395352493381847794460676123857766197670937762602256867971298188892827242715295681750933 Date: October 1, 1992 Method: ecm Time: short Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: October 1, 1992 --------------------------------------------------------------- p(21799) Factors: 2 * 3 * 5 * 5 * 5 * 7 * 7754644452367104021763111811 * 8495445589960746121709580047765071 * 150646455367335861230849333397935619010979 * 38054163011652211033975424808989281245643310656346417 Date: March 5, 1997 Method: trial division, ecm (p34 with first limit 500000, then p28 with 1000000), ppmpqs (two largest factors) Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com Recd: March 5, 1997 --------------------------------------------------------------- p(21817) Factors: 2 * 5 * 7 * 1515719 * 860143891 * 1568748625541147020771750991 * 21331404448330342300486642723 * 341610487754262202480215672250265680214911 * 2220298626229887076168146563968728036770288899 Date: Sep 15, 1994 Method: TD, ECM (using Lips): p28, p29; MPQS (ipsc860): p42, p46 Time: ECM: 1 mips year, MPQS 48 hours on 16 nodes of an Intel ipsc860 hypercube Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: September 19, 1994 --------------------------------------------------------------- p(21821) Factors: 3 * 181 * 641 * 4397 * 154723 * 196963509477353109988611071 * 51410547514176953611893839656100919266007913341253609959058144443797754194111634029547641149279171022889484859698908187 Date: September 5, 1993 Method: ecm (1st step 500K, one of several 50th curves, C146 = p27*p119) Name: Bruce Dodson, Matt Fante Recd: Septeber 5, 1993 --------------------------------------------------------------- p(21839) Factors 2 * 2 * 2 * 3 * 5 * 5 * 47 * 757 * 2237 * 58579 * 25821748970569 * 38776584748882871441075013818944956428920614212365791964995653764443294516267542746477184260142341427410600951818926573551783818847 Date: October 1, 1992 Method: ecm Time: short Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: October 1, 1992 --------------------------------------------------------------- p(21851) Factors: 11 * 31 * 705919 * 789839694751 * 13301615234642022429341 * P118 Date: 18 February 1993 Method: TD, rho (p6), ECM (p12, p23) Time: 0.3 Name: Paul C Leyland Recd: February 18, 1993 --------------------------------------------------------------- p(21881) Factors 3 * 3 * 5 * 11 * 15062931913 * 18611137801932521 * 5650856573295154457 * 5132167954650332753067837254811856176850861522014160601687379139630968840902538005790998258253402853490670966239 Date: October 1, 1992 Method: ecm Time: short Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: October 1, 1992 --------------------------------------------------------------- p(21893) Factors 46446655697369 * 96092751093324298480589871606525831294543853853478096882777117751518260902377578562562581303477189932953138700078546620393260463274240942252120033 Date: October 1, 1992 Method: ecm Time: short Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: October 1, 1992 --------------------------------------------------------------- p(21937) Factors: 2 * 2 * 991 * 1413661 * 2481067 * 8305577074619231993549 * 1026959030034056105885882821297709 * 54990594174087055910503582010090908923856653982882040590914367405152429611474966084667029 Date: Mar 17, 1995 Method: TD, ECM (using Lips): p7, p7, p22, p34, restp89 Time: 4 mips years Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: March 17, 1995 --------------------------------------------------------------- p(21997) Factors: 2 * 2 * 7 * 7 * 71 * 1811 * 2670589 * 263881935662561 * 9850149508526316260914519917826231 * 519503351995607906356167770349568365946365296701 * 120268563023973905993579599902528359473607915989757 Date: February 11, 1999 Method: trial division, ecm, ecm (p34 with first limit 3000000, GMP-ECM version 3, by P. Zimmermann (Inria)), ppmpqs (two largest factors) Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com Recd: February 11, 1999 --------------------------------------------------------------- p(22013) = 12542840822766014105289990829054138662604425544639281666944878460652483150151125576227122676694216312785644320788365651215529314499611516188451792557930886408980 (161 digits) Factors: 2 * 2 * 5 * 7 * 29 * 227 * 883 * 1833464473 * 859199433772583 * 13459062207911025544426658191611862815367 * 726945805177994321313560458694597506677899555574092911368829073396017426388754294695171 Date: September 26, 1999 Method: trial division, ecm (p41 with first limit 3000000, GMP-ECM 4 by P. Zimmermann (Inria)) Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com --------------------------------------------------------------- >From vacation3421a2@turbomail.net Mon Sep 27 21:20:51 PDT 1999 p(22027) Factors 2 * 2 * 7 * 607 * 136111 * 25542653362874831 * 239422455489820870062902058243847808410649160180493165119779761808758702282068249928338558277248247041843422727743813369628976527899243 Date: October 1, 1992 Method: ecm Time: short Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: October 1, 1992 --------------------------------------------------------------- p(22031) Factors: 62501 * 473273639 * 345522651839635027673 * 9920257282630285301209 * 629487314866522051873918124475770311 * 229412866375288655875308593558845350781245352474471299736508279297209 Date: Jul 15, 1994 Method: TD, ECM (using Lips): p9, p21, p22, p36, restp69 Time: 1 mips year Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: July 15, 1994 --------------------------------------------------------------- p(22051) Factors 2 * 3 * 7549 * 1016401 * 96699603161554355519 * 721372655495173866889 * 5414476071758711477672489004107586057300307702424865992181883904569900398654270159076164994230164420894169113 Date: October 1, 1992 Method: ecm Time: short Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: October 1, 1992 --------------------------------------------------------------- p(22063) Factors 2 * 752892541 * 12801275849805516450157407239321836812779044197345315631665253757958745432298376688158599565940283511630719742891795899706928988633690555131724351423671 Date: October 1, 1992 Method: ecm Time: short Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: October 1, 1992 --------------------------------------------------------------- p(22067) = 19949718948134227091043139150634315738289613951799704283787640445795106047683018493980651788078806305673214129364667734146376583527255139057208575487241447520717 (161 digits) Factors: 13723 * 291653284732089515288337762223064902549567 * 4984491346513979874786463019407510440969193893973629279806845140882487278430621592432201743071651523648874063980937 Date: January 22, 2000 Method: ecm (p42 with first limit 3000000, GMP-ECM 4 by P. Zimmermann (Inria)) Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com --------------------------------------------------------------- p(22073) Factors: 2 * 2 * 29 * 2767778387698754053569021627934037 * 65422292704529116712169819214004336825439756952652905464655989215768049761456701379668612412927804072274839441066366005079767 Date: August 26, 1993 Method: ecm (1st step 500K, 8th curve, C159 = p34*p125) Name: Bruce Dodson, Matt Fante Recd: August 26, 1993 --------------------------------------------------------------- p(22079) Factors: 5 * 5 * 11 * 1117 * 3719 * 7753 * 539608144477 * 1675642229806009 * 176524675830206206969 * 21104882191917526433677 * p78 Date: December 10, 1992 Method: ECM (p=562579 in 2nd step), primality of the factors established with ECPP Time: 45691 on a RS6000 Name: Reynald Lercier, Francois Morain Address: LIX. Ecole Polytechnique, F-91128 Palaiseau Cedex FRANCE Email: lercier@poly.polytechnique.fr or morain@poly.polytechnique.fr phone: +33 1 69 33 45 89 Recd: December 10, 1992 --------------------------------------------------------------- p(22091) Factors: 2 * 19 * 273138112999056107270105246747 * 2361923666900645092098650000820641103572716539605537057292733607347432499333509293335111463309143427206586642406324511334893151857 Date: September 1, 1993 Method: ecm (1st step 500K, 29th curve, C159 = p30*p130) Name: Bruce Dodson, Matt Fante Recd: September 1, 1993 --------------------------------------------------------------- p(22093) Factors: 2 * 7 * 23 * 44436511867665896165054326267430756083 * 35203502065744526531092821230024445523997 * 49511466340510095523936927600738839483967882006391328167079794303086592227920803 Date: February 16, 1999 Method: trial division, ecm (p38, then p41, both with first limit 3000000, GMP-ECM version 3b, by P. Zimmermann (Inria)) Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com Recd: February 16, 1999 --------------------------------------------------------------- p(22109) Factors 2 * 3 * 3 * 3 * 3 * 3 * 5 * 17 * 187500191797 * 3693723223139582228232098525169400124578954760071907666713562754721672760587230785104293256468962769958179422070749889881372293813980459104502673 Date: October 1, 1992 Method: ecm Time: short Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: October 1, 1992 --------------------------------------------------------------- p(22111) Factors 2 * 7 * 11483 * 2604101 * 340648223 * 2566948199 * 25533702503 * 24072149968987 * 32199252357149 * 96701325013481 * 2087437416269880281884746812501420797 * 19901653696980397174310842007837803096968073 Date: October 1, 1992 Method: ecm and ppmpqs Time: short Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: October 1, 1992 --------------------------------------------------------------- p(22129) Factors: 2 * 2 * 2 * 2 * 2 * 3 * 3 * 5 * 359 * 192248513875028515975464528400457 * 99157680551595398820950696311 * 3446569229854525411055536239123955657802487133671640786958756929519011744384304900990667465251 Date: September 9, 1993 Method: ecm (1st step 500K, 101st curve, p29 found after p33) Name: Bruce Dodson, Matt Fante Recd: September 9, 1993 --------------------------------------------------------------- p(22133) Factors 5 * 269 * 49848136018279 * 240277074839174641 * 2181966815919499511625737404949313065187141048393972664596507667500970611548574820044284870469705617844408117732647069715278683 Date: October 1, 1992 Method: ecm Time: short Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: October 1, 1992 --------------------------------------------------------------- p(22157) Factors: 5 * 103 * 103 * 18738439 * 134313743209 * 10395731921818673448830711 * 4272446635466700610643 * p91 Date: December 10, 1992 Method: ECM (p=434407 in 2nd step), primality established using ECPP Time: 60519s on a RS6000 Name: Reynald Lercier, Francois Morain Address: LIX. Ecole Polytechnique, F-91128 Palaiseau Cedex FRANCE Email: lercier@poly.polytechnique.fr or morain@poly.polytechnique.fr phone: +33 1 69 33 45 89 Recd: December 10, 1992 --------------------------------------------------------------- p(22159) Factors: 5 * 11 * 7649 * 763409 * 10793209317001 * 4294081127155802774371068167594611 * 2951162388520724532030399264849192992349202101800404078262068417294774405683694357078282425683076773767 Date: September 5, 1993 Method: ecm (1st step 500K, 40th curve, c137 = p34*p103) Name: Bruce Dodson, Matt Fante Recd: September 5, 1993 --------------------------------------------------------------- p(22171) Factors 11 * 23 * 53 * 9949 * 51726097243 * 7055277398205306897733944964757327091602802707898962338945460994800358050886829682672222495198109421767528878832526905891422270191178416231331 Date: October 1, 1992 Method: ecm Time: short Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: October 1, 1992 --------------------------------------------------------------- p(22189) Factors 5 * 5 * 229 * 739 * 112640879260691 * 119193535891798169466483325057843411715293015326737471581130015787969093228103539398622786716040242027432111260093702789919007719082090524831 Date: October 1, 1992 Method: ecm Time: short Name: Arjen K. Lenstra Email: lenstra@bellcore.com Recd: October 1, 1992 --------------------------------------------------------------- p(22229) Factors: 2 * 5 * 23 * 23 * 331 * 936954583541 * 3132961878030727 * 6070095690941 * 220955270647461022787841443251881607453 * 11604725033752130094098289733872980066061799649730547079648433890263412824247 Date: August 11, 1998 Method: trial division, ecm, ecm/fft (p39 with program MIPS.ecm2.8000000.shared from Peter Montgomery) Time: 40th curve with 8000000 ecm/fft, on an SGI O2 (R5000, 200Mhz) at Lehigh University Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com Recd: August 11, 1998 --------------------------------------------------------------- p(22271) = 114579907114446054678516918967580709145227998916432414867525358449468038926263987572705977054906073363117487440598704951655277487153296567081725045784280037066734 (162 digits) Factors: 2 * 29 * 67901 * 49359307 * 1481297155660207592799539 * 861920547673833143068586364131235497308447 * 461663803509225208109268296061898221946957901184130574001270864365953854860404433 Date: February 10, 2000 Method: trial division, ecm, ecm/fft (p42 with program MIPS.ecm2.30000000.shared from Peter Montgomery) Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com --------------------------------------------------------------- p(22567) Factors: 5 * 11 * 563 * 333367 * 6403334494320559 * 400080489802917983 * 42228083115670874483942393484809980993 * 1278142413514332897989289386031481598533996530958372613077467407583097236913455281 Date: March 7, 1998 Method: trial division, ecm (p38 with first limit 1400000) Time: about 50th curve Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com Recd: March 8, 1998 --------------------------------------------------------------- p(22259) Factors: 3 * 3 * 5 * 11 * 11 * 13 * 67 * 3001825495922790070552451 * 7263497924675655061116992632741672709027953617649520490403709972991922234899609390803616641501750872416213382404352777329965312647 Date: January 1, 1994 Method: trial division, ecm (c155 = p25*p130, first limit 250000) Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: January 1, 1994 --------------------------------------------------------------- p(22273) Factors: 7 * 139 * 305533 * 13527952634880072535853351 * 25568991914348183694617738581 * 1522599348742537234677262609 * 744443739217722383410402491436673132556901724351602413160204031699464627 Date: January 1, 1994 Method: trial division, ecm (c100 = p28*p72, first limit 10^6, found in 1st step after 100 curves; p26 and p29 with 1st limit 250000) Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: January 1, 1994 --------------------------------------------------------------- p(22279) Factors: 2 * 5 * 7 * 7 * 7 * 13 * 138181 * 369301 * 19772073617 * 380576330893667 * PRP121 Date: January 1, 1993 Method: p-1 (p11), ECM (p15) Name: FactOregon (Joe Buhler, Peter Montgomery, Robby Robson, Russell Ruby, Scott Huddleston) Recd: January 1, 1993 --------------------------------------------------------------- p(22303) Factors: 2 * 11 * 181 * 52497752722273 * PRP144 Date: January 1, 1993 Method: p-1 (p14) Name: FactOregon (Joe Buhler, Peter Montgomery, Robby Robson, Russell Ruby, Scott Huddleston) Recd: January 1, 1993 --------------------------------------------------------------- p(22307) = 155854865296289704755434686800851428365191459254757752430213179274640038437973987525288671695930634769224253407654849933304152248327814377383055943900040406250666 (162 digits) Factors: 2 * 7 * 7 * 7 * 31 * 47 * 229707047393 * 167362745751900394934518175321619659259763 * 4056052660164543204127070331203913120978496081542376341109292985158335391481669842785723745295580386737 Date: July 23, 1999 Method: trial division, ecm (p42 with first limit 3000000, GMP-ECM 4 by P. Zimmermann (Inria)) Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com --------------------------------------------------------------- >From bad0@CS0.CC.Lehigh.EDU Tue Jul 27 14:12:43 EST 1999 p(22343) Factors: 3 * 677 * 116760977 * 4985515247 * PRP141 Date: January 1, 1993 Method: ECM (p10) Name: FactOregon (Joe Buhler, Peter Montgomery, Robby Robson, Russell Ruby, Scott Huddleston) Recd: January 1, 1993 --------------------------------------------------------------- p(22349) Factors: 5 * 5 * 5 * 5 * 7 * 31 * 43 * 48697087 * PRP147 Date: January 1, 1993 Name: FactOregon (Joe Buhler, Peter Montgomery, Robby Robson, Russell Ruby, Scott Huddleston) Recd: January 1, 1993 --------------------------------------------------------------- p(22367) Factors: 13 * 123923 * 431229466093 * PRP144 Date: January 1, 1993 Method: ECM (p12) Name: FactOregon (Joe Buhler, Peter Montgomery, Robby Robson, Russell Ruby, Scott Huddleston) Recd: January 1, 1993 --------------------------------------------------------------- p(22381) Factors: 487 * 106859 * 5177074339 * 36824311297 * PRP134 Date: January 1, 1993 Method: p-1 (p10, p11) Name: FactOregon (Joe Buhler, Peter Montgomery, Robby Robson, Russell Ruby, Scott Huddleston) Recd: January 1, 1993 --------------------------------------------------------------- p(22433) Factors: 5 * 7 * 7 * 67 * 683 * 80819 * 13322473 * 2324807816603150300273 * 16269435072918309651927293825228357593463923840158721457629520971439361863989649726633147095607190252132814554702119591777 Date: January 1, 1994 Method: trial division, ecm (c143 = p22*p122, first limit 10^5) Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: January 1, 1994 --------------------------------------------------------------- p(22469) Factors: 5 * 7 * 29 * 43 * 241 * 106979 * 9871 * 20483 * 222837169 * 245968373647597 * 3754752958555283973188120679619733 * 4357450046844951331256492134571279 * 3040643155517588570417983120591986721284362835107881 Date: March 2, 1994 Method: ECM (first p34); ppmpqs; primality with ECP Time: It takes me much longer to estimate the time than to run the programs... Name: Reynald Lercier, Francois Morain Address: LIX. Ecole Polytechnique, F-91128 Palaiseau Cedex FRANCE Recd: March 2, 1994 --------------------------------------------------------------- p(22483) = 698868774042151107847467230813475691736767467685101172733953468768393068319743305584380732095031669932126041225789913865125370428827553699662140021764046031086727 (162 digits) Factors: 89723918281 * 2043886626525211875336201625109501 * 24040926307887100330513054133726731 * 158518299914755879871736517869140676681642995498319846364087649836712438387095395857 Date: November 24, 1999 (found March 7, 1999) Method: ecm (p35, then p34 with first limit 3000000, GMP-ECM 3 by P. Zimmermann (Inria)) Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com --------------------------------------------------------------- p(22501) Factors: 3 * 11 * 11 * 19 * 4967 * 187091 * 1167791936189614607 * PRP132 Date: January 1, 1993 Method: ECM (p19) Name: FactOregon (Joe Buhler, Peter Montgomery, Robby Robson, Russell Ruby, Scott Huddleston) Recd: January 1, 1993 --------------------------------------------------------------- p(22541) Factors: 3 * 50767 * 17499685897 * 694179646573626653879 * 618573233679345732888249925500976168206852156254921192163688822120274056936614913593539303106410632711318677773334673104194801 Date: January 1, 1994 Method: trial division, ecm (c147 = p21*p126, first limit 10^5) Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: January 1, 1994 --------------------------------------------------------------- p(22543) Factors: 3 * 3 * 23 * 1697 * 45678977 * 186511001 * PRP141 Date: January 1, 1993 Name: FactOregon (Joe Buhler, Peter Montgomery, Robby Robson, Russell Ruby, Scott Huddleston) Recd: January 1, 1993 --------------------------------------------------------------- p(22549) Factors: 5 * 5 * 5 * 61 * 109 * 1031 * 535573069 * 283631391538757 * 9212022239757585472817094581 * 1021565805155392454399102863510057227435189074083639165955218717443717711297820980807559925380782372293 Date: January 1, 1994 Method: trial division, ecm (c145 = p14*p28*p103, first limit 10^5) Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: January 1, 1994 --------------------------------------------------------------- p(22571) Factors: 2 * 337 * 3617 * 33225761 * 3869526641 * 1154334996240163 * PRP124 Date: January 1, 1993 Method: p-1 (p11), ECM (p16) Name: FactOregon (Joe Buhler, Peter Montgomery, Robby Robson, Russell Ruby, Scott Huddleston) Recd: January 1, 1993 --------------------------------------------------------------- p(22613) Factors: 12941 * 1593327347 * 110908179074421383 * 571244553890003110801 * 250164749903252287918217338159033459264619 * 6454079051196230567310935172701018681949929275541348828949337955097943 Date: July 28, 1998 Method: trial division, ecm, ppmpqs (two largest factors) Time: approximately 175 mips years for ppmpqs Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com Recd: July 28, 1998 --------------------------------------------------------------- p(22619) Factors: 2 * 2 * 2 * 2 * 2 * 2 * 3 * 3 * 5 * 307 * 647 * 8774490463 * 2047172964827 * 565920587152289607697351 * 381645126980546729710826236557849231878532881833710355184900218819587047024572409225961257385700392129558533 Date: January 1, 1994 Method: trial division, ecm (c132 = p24*p108, first limit 10^5) Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: January 1, 1994 --------------------------------------------------------------- p(22621) Factors: 11 * 67 * 101 * 21737 * 86027 * 930377070990611 * PRP134 Date: January 1, 1993 Method: ECM (p15) Name: FactOregon (Joe Buhler, Peter Montgomery, Robby Robson, Russell Ruby, Scott Huddleston) Recd: January 1, 1993 --------------------------------------------------------------- p(22639) Factors: 2 * 2 * 2 * 5 * 251 * PRP159 Date: January 1, 1993 Name: FactOregon (Joe Buhler, Peter Montgomery, Robby Robson, Russell Ruby, Scott Huddleston) Recd: January 1, 1993 --------------------------------------------------------------- p(22643) Factors: 3 * 7 * 193 * 233 * 221949978192733159681399 * 12979012918359761886555461508330613860152109793539599268084787500220367364331995071686817958614813347251742359648780180592048257112403 Date: January 1, 1994 Method: trial division, ecm (c157 = p24*p134, first limit 10^5) Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: January 1, 1994 --------------------------------------------------------------- p(22669) Factors: 2 * 2 * 5 * 5 * 5 * 71 * 3511 * 18334169201 * PRP145 Date: January 1, 1993 Method: p-1 (p11) Name: FactOregon (Joe Buhler, Peter Montgomery, Robby Robson, Russell Ruby, Scott Huddleston) Recd: January 1, 1993 --------------------------------------------------------------- p(22691) = 4085964354689311728194427814474463566328048227740237425494762593382235548293064260892452337983519692120112775690750049260827268166760970322448907795116168344558122 (163 digits) Factors: 2 * 18503 * 274038078260071 * 5115924859424084980628179340034058678267 * 78756672491761516946951296166663162267403119960220798708996537240872526021249115671872276249282672019391 Date: May 31, 1999 Method: trial division, ecm (p40 with first limit 3000000, GMP-ECM 4 by P. Zimmermann (Inria)) Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com --------------------------------------------------------------- p(22697) Factors: 3 * 3 * 47 * 109 * 252713 * 38926098122467401019 * 90901730599798650971 * 388666393033817537420599 * 268274994565920324586431569983028633521545436338814884593545216310167604557022421115773017 Date: January 1, 1994 Method: trial division, ecm (c153 = p20*p20*p24*p90, first limit 10^5) Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: January 1, 1994 --------------------------------------------------------------- p(22679) Factors: 5 * 225461 * 36924585182013251 * PRP140 Date: January 1, 1993 Method: ECM (p17) Name: FactOregon (Joe Buhler, Peter Montgomery, Robby Robson, Russell Ruby, Scott Huddleston) Recd: January 1, 1993 --------------------------------------------------------------- p(22699) Factors: 2 * 5 * 5 * 5 * 7 * 11 * 367 * 683 * 501547061 * 6817089184891 * PRP132 Date: January 1, 1993 Method: ECM (p13) Name: FactOregon (Joe Buhler, Peter Montgomery, Robby Robson, Russell Ruby, Scott Huddleston) Recd: January 1, 1993 --------------------------------------------------------------- p(22717) Factors: 3 * 37 * 15810864703 * 8505879962718706919112455983 * 341124414866750439539561531519412780295886596636603711396935277118756792704275914272608715957511685354950533753442192810767 Date: Feb 07, 1995 Method: TD, ECM: p11, p28, restp123 Time: 200 mips days Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: February 7, 1995 --------------------------------------------------------------- p(22727) Factors: 2 * 2 * 2 * 2 * 2 * 2 * 5 * 7 * 7 * 103 * 107 * 113 * 109637079069682488160108091 * 2588621859028653371006373854602631359041393173482042252729691115631777822545987457872764424154498804863483185012634745388418083 Date: January 1, 1994 Method: trial division, ecm (c153 = p27*p127, first limit 250000) Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: January 1, 1994 --------------------------------------------------------------- p(22739) = 6134427826427668782640363833647876840631754023553605925521764870756340729041292320888267636021566918545469840273709157171546012363836401423459952506103948210737060 (163 digits) Factors: 2 * 2 * 5 * 79 * 435458453555825652419 * 7194133217076526887326101709610947521187 * 11893530859697450368552460662877818684447475417 * 104203179117045055639902533539054690352480780027505307 Date: November 22, 1999 Method: trial division, ecm (p40, then p47 with first limit 3000000, GMP-ECM 4 by P. Zimmermann (Inria)) Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com --------------------------------------------------------------- p(22769) Factors: 5 * 7 * 7 * 16061 * 117598303 * 133866961 * 67243171717588250504969491 * 1143702564459250923673759289 * 1061200362463206591536604970829639041 * 1563895950238511673171658116261420345910824542022037 Date: April 18, 1994 Method: TD, ECM (+FFT) : p26 p28 , PPMPQS :p37 restp52 (using LIPS) Time: ECM ca. 0.4 mips year , PPMPQS 1.5 day on a IPSC860 (16 nodes) Name: Heinz-Bernd Eggenstein, Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Address: Repkestr. 26, W-4712 Werne, Federal Republic of Germany University of Saarland - Informatik (FB 14) -, Postfach 1150, 66041 Saarbruecken -Germany- email: eggenste@cantor.informatik.uni-dortmund.de denny@cs.uni-sb.de fberger@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: April 18, 1994 --------------------------------------------------------------- p(22741) Factors: 7 * 11 * 811 * 1741 * 76343131 * 217053073852837 * 2830981342801201 * 11426581427635031407555332518970829 * 107059143715290335153993417052031728803536836634558052743511655755502650975872993877 Date: October 30, 1998 Method: trial division, ecm, ecm/fft (p35 with program MIPS.ecm2.16000000.shared from Peter Montgomery) Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com Recd: October 30, 1998 --------------------------------------------------------------- p(22777) Factors: 2 * 2 * 3 * 19 * 487 * 14314021256122568092708370057447 * 5322677428009874990437652218493221082017192872968025613128566123167263689538467759522677518733201433065864908983854935309244969 Date: January 1, 1994 Method: trial division, ecm (c158 = p32*p127, first limit 250000) Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: January 1, 1994 --------------------------------------------------------------- p(22783) Factors: 2 * 3 * 7 * 7 * 9931 * 84067 * PRP152 Date: January 1, 1993 Name: FactOregon (Joe Buhler, Peter Montgomery, Robby Robson, Russell Ruby, Scott Huddleston) Recd: January 1, 1993 --------------------------------------------------------------- p(22787) Factors: 11 * PRP162 Date: January 1, 1993 Name: FactOregon (Joe Buhler, Peter Montgomery, Robby Robson, Russell Ruby, Scott Huddleston) Recd: January 1, 1993 --------------------------------------------------------------- p(22807) Factors: 7 * 59 * 149 * 91199 * 24139681565450946713513 * 80465894046717631636787692246705267436716803217676443534013892920467063214765762546970260038965354506818833354218232647468777974459 Date: January 1, 1994 Method: trial division, ecm (p23, 52nd curve, first step 100000) Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: January 1, 1994 --------------------------------------------------------------- p(22811) Factors: 2 * 3 * 3 * 3 * 7 * 61121 * 488049606149671680428918323680156312468096298971093396756085498396909097075198445851039903933348364120490677221332493449940245425830500627406476741864559621 Date: Dec 31, 1993 Method: TD Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: December 31, 1993 --------------------------------------------------------------- p(22817) Factors: 3 * 17 * 469961869663943837443662349 * 494909378238593453529935706017003358826176687663995854949964542886208415026077809210160116890276174418696380841838398879334618339628547 Date: Jul 25, 1994 Method: TD, ECM: p27, restp135 Time: 100 mips days Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: July 25, 1994 --------------------------------------------------------------- p(22853) Factors: 2 * 5 * 7 * 7 * 11 * 35393 * 84268547968580164021919073035029274151154340402253791625543436378946496784521097597241696624002661561796978020537372687155034413545667220061077944959873587 Date: January 1, 1994 Method: trial division, ecm Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: January 1, 1994 --------------------------------------------------------------- p(22859) Factors: 2 * 3 * 5 * 11 * 228803321 * 10591921763 * 12590718983 * 32179326390724726280956346417 * 154986350829640153929056915101253 * 336737766481401731086652716354299069033646620537941626717625356360323487 Date: Jun 13, 1995 Method: TD, ECM (using Lips): p9, p11, p11, p29, p33, restp72 Time: 3 mips years Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: June 13, 1995 --------------------------------------------------------------- p(22861) Factors: 37 * 67 * 157 * 179 * 1889 * 4007 * 101789743308233711821 * 320412412116708297264224045117565843907468887398546543184736537597402525288380388114341933735624636204114082949550403298356935353 Date: January 1, 1994 Method: trial division, ecm (p21 with first step 30000) Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: January 1, 1994 --------------------------------------------------------------- p(22871) Factors: 2 * 2 * 5 * 5 * 5 * 11 * 23 * 8189641 * 879315487 * 20541839597970988626799088712668592424215831886352093004120137619835107674877094078462634500636966453888835418133225941169679071108784879443057 Date: Dec 31, 1993 Method: TD, ECM (p7, p9) Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: December 31, 1993 --------------------------------------------------------------- p(22901) Factors: 2 * 3 * 5 * 11 * 1949 * 75983 * 493158123272455117637464510885003321272301000816202638299865786563160254664381352847716303461823207675382276257413566158561247257503755467208128985481243 Date: Dec 31, 1993 Method: TD Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: December 31, 1993 --------------------------------------------------------------- p(22907) Factors: 3 * 817867 * 34489418170351 * 6037774487 * 1969234761311 * 4800782771184003553 * 5248332728319151362068643310100258735338296512855706723511306503253589417327042518463154448373360332547 Date: January 1, 1994 Method: trial division, ecm (p19, first step 100000, during first 30 curves) Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: January 1, 1994 --------------------------------------------------------------- p(22921) Factors: 3 * 13861902340513079 * 5553254480336119 * 27135965441383241753 * 1926272316111982410020143740930500091361 * 2363161006862395199128748300015051065346632720719010046170709975601920711 Date: January 21, 1998 Method: trial division, ecm (p40 with first limit 1400000) Time: under 2600 curves Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com Recd: January 21, 1998 --------------------------------------------------------------- p(22937) Factors: 3 * 7 * 53 * 139 * 409 * 1229 * 1460511839 * 1126919869307455357983597277042273 * 255045350656014883500323108316551623325313156875980042285047986427547243185935813274019352814654512442066495991 Date: October 12, 1998 Method: trial division, ecm (p34 with first limit 3000000, GMP-ECM version 3, by P. Zimmermann (Inria)) Time: 12th curve Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com Recd: October 12, 1998 --------------------------------------------------------------- p(22961) Factors: 2 * 11 * 1816222463594036927967833226132355444417418867025140959878992100700125768765997629137530618520122367838225650402733724285863899357793925859207595959395346116031117 Date: Dec 31, 1993 Method: TD Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: December 31, 1993 --------------------------------------------------------------- p(22993) Factors: 2 * 3 * 7 * 11 * 11 * 563 * 569 * 32130697086216025049934686700362073071470410892357774457782389669825713247649901854526519518306114784458940308384074893824147922156176564222885690528808249 Date: Dec 31, 1993 Method: TD Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: December 31, 1993 --------------------------------------------------------------- p(23003) Factors: 5 * 1817607612577 * 2988684193751316038003 * 51522636812334425718727 * 39037208496267435565821181 * 261501911342430046600725313837 * 3983037662963781663492286551766819400366842696731739 Date: Jan 25, 1994 Method: TD, ECM (using Lips): p13, p22, p23, p26, PPMPQS :p32 restp54 Time: ECM ca. 20 mips days , PPMPQS ca. 1 day on 16 nodes IPS860 Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Recd: January 25, 1994 --------------------------------------------------------------- p(23011) Factors: 5 * 61 * 10203855283 * 19555958606337473169296482611679685831529237783241706485919418950103217848070363951089873738348956352792915650366583508406251493530696591269556952452367 Date: Dec 31, 1993 Method: TD, ECM (p11) Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: December 31, 1993 --------------------------------------------------------------- p(23017) Factors: 2 * 3 * 82995529179029 * 336257589764619722590681091917721 * 6422518213459138979920763817094678121 * 59521895488470523384108003115927942896035804927465334731917356132121349606900037 Date: August 12, 1998 Method: trial division, ecm, ecm/fft (p33 with program MIPS.ecm2.3000000.nonshared from Peter Montgomery, then p37 with program MIPS.ecm2.8000000.shared) Time: 32nd curve with 8000000 ecm/fft, on an SGI O2 (R5000, 200Mhz) at Lehigh University Name: Bruce Dodson, Arjen K. Lenstra, Paul Zimmermann Email: arjen.lenstra@citicorp.com Recd: August 12, 1998 --------------------------------------------------------------- p(23021) Factors: 2 * 3 * 5 * 7 * 7 * 41 * 179 * 3083 * 1607233 * 7382694127 * 167744530370345407378492511263329862250778806406020777246203622564492443754527896699188614784352961365437364285911187605113002192208114727 Date: Dec 31, 1993 Method: TD, ECM ( p7, p10) Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: December 31, 1993 --------------------------------------------------------------- p(23027) Factors: 61 * 61 * 107 * 269 * 16862497 * 917051 * 318681064770013403 * 69844752862743155541463 * 1888777724768253696636093120906309485479187085214368750045523291844101306686479046012546271312015883977 Date: January 1, 1994 Method: trial division, ecm (c143=p18*c126=p23*c120, gcd(c126,c120) = p103, first step 100000, during first 30 curves) Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: January 1, 1994 --------------------------------------------------------------- p(23029) Factors: 5 * 11 * 67 * 101 * 13411 * 647081 * 6295279 * 921618079 * 6342848689 * 1463548068685784298591062693 * 407051572403826239994480541673294082539821125182459961063995142984385810354493994909145344453743 Date: Jan 25, 1994 Method: TD, ECM (using Lips): p7, p9, p10, p28, restp96 Time: 40 mips days Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: January 25, 1994 --------------------------------------------------------------- p(23039) Factors: 2 * 5 * 19 * 71 * 15940751 * 358160004429215935505037798233718680252055250091680234379743274266256563740759597289107924535452640307966409744631073053081546355806559270246961577437941 Date: Dec 31, 1993 Method: TD, ECM (p8) Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: December 31, 1993 --------------------------------------------------------------- p(23041) Factors: 2 * 2 * 2 * 11667064586272603 * 438206973179 * 1914998655447366468667727837911099241486885972236571336294191790321459386948336476802437104710230047919309554448217259213618505849842657 Date: January 1, 1994 Method: trial division, ecm Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: January 1, 1994 --------------------------------------------------------------- p(23053) Factors: 3 * 3 * 7 * 47 * 1039 * 59404140811 * 474057745663308873065879569678233263056707214733441512996892858112221489943917879626477440253474805429108293869184917890891564989542957754281444833 Date: Dec 31, 1993 Method: TD, ECM (p11) Name: Factoring Factory Buchmann (Franz-Dieter Berger, Johannes Buchmann, Thomas F. Denny, Andreas M"uller, Thomas Sosnowski) Adress: University of Saarland - Informatik (FB 14) -, Im Stadtwald, 66041 Saarbruecken -Germany- email: fberger@cs.uni-sb.de , denny@cs.uni-sb.de Phone: germany 681 - 3024168 Recd: December 31, 1993 ---------------------------------------------------------- p(23059) Factors: 2 * 5 * 925087921397 * 460398891811927 * 21393491776720122344169927822833556693848736818271014627596449830627857924676928520873146768934500887519614694775434845174366740914839613 Date: January 1, 1994 Method: trial division, ecm (p15 with first step 30000) Name: Bruce Dodson, Arjen K. Lenstra Email: lenstra@bellcore.com Recd: January 1, 1994 ---------------------------------------------------------------