p(8681), p(8689), p(8693), p(8699), p(8707), p(8713), p(8719), p(8731), p(8737), p(8741) p(8747), p(8753), p(8761), p(8779), p(8783), p(8803), p(8807), p(8819), p(8821), p(8831) p(8837), p(8839), p(8849), p(8861), p(8863), p(8867), p(8887), p(8893), p(8923), p(8929) p(8933), p(8941), p(8951), p(8963), p(8969), p(8971), p(8999)
Partition Honor Roll 100 digits - 104 digits ----------------------- As of March 31, 1992 19:00 PST p(8681) Factors: 3 * 4021 * 7876147 * 76181269 * 2440629475228334940216899 * 58331788122507201750389880542953362595615248413576407801 Date: March 18, 1991 Method: ecm Time: 50 minutes Dec 5000. Name: Arjen K. Lenstra Address: Room 2Q334, Bellcore. 445 South Street, Morristown, NJ 07960, USA Email: lenstra@flash.bellcore.com phone: 201 829 4878 Recd: March 18, 1991 --------------------------------------------------------------- p(8689) Factors: 2 * 5 * 673 * 1143078589806090339591369179078129889743 * 149399514473251940620241847276368827652416421484862501723 Date: March 27, 1991 Method: ppmpqs Time: approximately 3 mips-years Name: Arjen K. Lenstra Recd: March 27, 1991 --------------------------------------------------------------- p(8693) Factors: 2 * 3 * 175633 * 1151815136825214165524530315445508174783994243427528598464260135369597736810952664559628405091 Date: March 18, 1991 Method: ecm Time: 5 seconds, Dec 5000 Name: Arjen K. Lenstra Recd: March 18, 1991 --------------------------------------------------------------- p(8699) Factors: 2 * 2 * 2 * 5 * 5 * 5 * 7 * 71 * 1848954572341 * 2094020092761217 * 746502025735578955935173035327 * 917033640467756811621702908230878271 Date: March 18, 1991 Method: ecm Time: 1.5 hours on Dec 5000 Name: Arjen K. Lenstra Recd: March 18, 1991 --------------------------------------------------------------- p(8707) Factors: 2 * 11 * 11 * 11 * 19 * 41 * 983 * 1258889 * 572480205254811401956684533108267699776269611099284097880449309997324175971173686161 Date: March 18, 1991 Method: ecm Time: 5 seconds, Dec 5000 Name: Arjen K. Lenstra Recd: March 18, 1991 --------------------------------------------------------------- p(8713) Factors: 7 * 7 * 13 * 26399 * 172093 * 221083 * 53762188290395785697711 * 46348510967754858095866287960815715604986372013234247103151 Date: March 30, 1991 Method: ECM with n^k stage Time: 0.1 Name: Richard E. Crandall Address: NeXT Computer, Inc. Recd: March 30, 1991 --------------------------------------------------------------- p(8719) Factors: 3 * 3 * 5 * 7 * 7 * 17 * PRP95 Date: March 18, 1991 Method: TD Name: Peter L. Montgomery Address: Department of Mathematics, University of California, Los Angeles CA 90024-1555 (If I win, make check out to the Dept.) Email: pmontgom@math.ucla.edu Phone: (213) 826-9498 (home) Recd: March 18, 1991 --------------------------------------------------------------- p(8731) Factors: 2 * 317 * 122395061 * 3000663654912884511489671 * 8748805730622956467052022902731963797645781578759147398898547793 Date: March 30, 1991 Method: ECM with n^k stage Time: 0.1 Name: Richard E. Crandall Address: NeXT Computer, Inc. Recd: March 30, 1991 --------------------------------------------------------------- p(8737) Factors: 2 * 5 * 37 * 3746018803 * PRP88 Date: March 18, 1991 Method: P-1 Time: 2E-6 (one minute) Name: Peter L. Montgomery Recd: March 18, 1991 --------------------------------------------------------------- p(8741) Factors: 2 * 3 * 7 * 7 * 79 * 103 * 39827 * PRP89 Date: March 18, 1991 Method: TD Name: Peter L. Montgomery Recd: March 18, 1991 --------------------------------------------------------------- p(8747) Factors 3 * 3 * 3 * 3 * 19 * 47 * 107 * 959723 * 12668809 * 527483243747 * 2766241052178449020939089802424353 * 18444179206672000602028059949173331 Date: April 1, 1991 Method: ecm, ppmpqs Time: half a day on an hp?? workstation Name: Arjen K. Lenstra Recd: April 1, 1991 --------------------------------------------------------------- p(8753) Factors 97 * 56821 * 31778592345076460757672140253203 * 15688281471908083493051917135379704975077046669849221698142341 Date: April 5, 1991 Method: ecm, ppmpqs Time: approximately 1.5 mips-years Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: April 5, 1991 --------------------------------------------------------------- p(8761) Factors 7 * 19 * 90144693526312635926552491 * 918017281605641240857901369796997 * 278336480331598929639168804757861921931 Date: April 27, 1991 Method: ppmpqs with low large prime bound (need much less disk space) Time: 7 mips-years (slower than usual, because of low large prime bound) Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: April 27, 1991 --------------------------------------------------------------- p(8779) Factors: 3 * 3 * 5 * 5 * 53 * 71 * 113 * 193 * 5243593 * 163602041 * 34686569663075243 * 7017245623489346317458707 * 1014580089121554043443445172665433 Date: March 28, 1991 Method: ECM with n^k stage Time: 0.1 Name: Richard E. Crandall Address: NeXT Computer, Inc. Recd: March 29, 1991 ----------------------------------------------------------------- p(8783) Factors: 2 * 2 * 7 * 11 * 13 * 23 * 257989 * 2143150064929 * 6852804885700358339 * 1326170738762249975955443 * 8925244539374142003719754171161377 Date: March 27, 1991 Method: ECM with n^k stage Time: 0.1 Name: Richard E. Crandall Address: NeXT Computer, Inc. Recd: March 27, 1991 ----------------------------------------------------------------- p(8803) Factors: 13 * 337021 * 7723297 * 89852986089191869073807 * 1781736837837650739930184975275647274647295227193291443732091967 Date: March 29, 1991 Method: ECM with n^k stage Time: 0.1 Name: Richard E. Crandall Address: NeXT Computer, Inc. Recd: March 29, 1991 ----------------------------------------------------------------- p(8807) Factors: 2 * 2 * 1999 * 4987 * 44263 * 5920463 * PRP81 Date: March 18, 1991 Method: P-1 Time: 2E-6 (one minute) Name: Peter L. Montgomery Recd: March 18, 1991 --------------------------------------------------------------- p(8819) Factors: 3 * 5 * 204713564521 * 136492076253506276209639 * 16054274839907010809036610261886433689509027650826652240716495661 Date: March 20, 1991 Method: ECM Time: 0.01 MIP-years Name: Peter L. Montgomery Recd: March 20, 1991 --------------------------------------------------------------- p(8821) Factors 2 * 1811 * 27449753 * 301481423 * 14729899474308384501308848487 * 15658582335013262461633533840000435320540303681823559 Date: April 11, 1991 Method: ppmpqs Time: approximately 1/4 mips-years Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: April 11, 1991 --------------------------------------------------------------- p(8831) Factors: 2 * 3 * 7 * 23 * 47 * 1931 * 63749783 * 8676688723 * 393243373734037 * P60 Date: March 18, 1991 Method: PR + p-1 + ECM Time: 5E-6 (2.5 minutes) Name: Peter L. Montgomery Recd: March 18, 1991 --------------------------------------------------------------- p(8837) Factors: 2 * 2 * 2 * 6789705362692159 * 3404657627317677134449 * 4808710557165445579663543 * 9654245233332580696007895629693627041 Date: March 31, 1991 Method: ECM with n^k stage Time: 0.2 MIPS-YRS Name: Richard E. Crandall Address: NeXT Computer, Inc. Recd: March 31, 1991 --------------------------------------------------------------- p(8839) Factors: 2 * 3 * 5 * 7 * 7 * 11 * 40644710910545010790837 * p74 Date : 3/19/91 Method : ECM Time : <= 678 seconds Name: Bob Silverman Email: bs@linus.mitre.org Recd: March 19, 1991 --------------------------------------------------------------- p(8849) Factors: 2 * 5 * 5 * 5 * 3023 * 1510934364299 * p82 Date : 3/19/91 Method : ECM Time : <= 678 seconds Name: Bob Silverman Recd: March 19, 1991 --------------------------------------------------------------- p(8861) Factors: 2 * 2 * 2 * 2 * 2 * 7 * 11 * 398595966093547364057 * 31484005133950401793208434871959 * 384089155195177842393537100817857318586556743 Date: 22 April 1991 Method: TD, ECM (p21), PPMPQS (p32 and p45), Rabin for primality test. Time: 0.23 (84 MIPS days for PPMPQS, <1 MIPS day ECM) Name: Paul C Leyland & Peter L Montgomery Recd: April 22, 1991 --------------------------------------------------------------- p(8863) Factors: 2 * 2 * 3 * 22577438991369233 * 61046886756497636507 * 3539686821354477992659 * 208423802687853609615206027274984607802689 Date: April 3, 1991 Method: ECM with n^k stage Time: 0.2 Name: Richard E. Crandall Address: NeXT Computer, Inc. Recd: April 3, 1991 --------------------------------------------------------------- p(8867) Factors: 2 * 3 * 3 * 7 * 7 * p97 Date : 3/19/91 Method : ECM Time : <= 678 seconds Name: Bob Silverman Recd: March 19, 1991 --------------------------------------------------------------- p(8887) Factors: 89 * p99 Date : 3/19/91 Method : ECM Time : <= 678 seconds Name: Bob Silverman Recd: March 19, 1991 --------------------------------------------------------------- p(8893) Factors: 2 * 5 * 5 * 11 * 82879217 * 1332335527 * 1372390343848231577003994984623 * 219489793984011224773430233061260599386535205991501 Date: June 27, 1991 Method: ecm (phase 1 only) Name: Brandon Dixon, Arjen K. Lenstra Time: 8 hours on 16K Maspar (approximately) Email: lenstra@flash.bellcore.com Recd: June 27, 1991 --------------------------------------------------------------- p(8923) Factors: 2 * 3 * 3 * 7 * 79 * 467 * 43664389 * 1947312954630495097208636068393836929 * 69346513437764545862655316516604160324208256480929 Date: August 11, 1991 Method: ppmpqs Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: August 11, 1991 --------------------------------------------------------------- p(8929) Factors: 5 * 7 * 1061 * 203846784649 * 644212039985573 * PRP70 Date: March 21, 1991 Method: P-1 (p12), ECM (p15) Time: 5E-4 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(8933) Factors: 2 * 7 * 13 * 29 * 31 * p96 Date : 3/19/91 Method : ECM Time : <= 678 seconds Name: Bob Silverman Recd: March 19, 1991 --------------------------------------------------------------- p(8941) Factors: 2 * 2 * 2 * 3 * 3 * 13 * PRP98 Name: Peter L. Montgomery Recd: March 21, 1991 --------------------------------------------------------------- p(8951) Factors: 3 * 5 * 7 * 7 * 13 * 12613 * 1466948975113 * 6143231575204284966536207 * 28869835524514493451473989 * 1274135324336507524445122179421 Date: April 3, 1991 Method: ECM with n^k stage Time: 0.2 Name: Richard E. Crandall Address: NeXT Computer, Inc. Recd: April 3, 1991 --------------------------------------------------------------- p(8963) Factors: 13 * 23447 * p96 Date : 3/19/91 Method : ECM Time : <= 678 seconds Name: Bob Silverman Recd: March 19, 1991 --------------------------------------------------------------- p(8969) Factors 5 * 7 * 277 * 1998089 * 18326685979020718409965723733 * 143325556682856006986535218464076149008643405336212496764356759 Date: July 18, 1991 Method: ecm Name: Brandon Dixon, Arjen K. Lenstra Email: bdd@flash.bellcore.com Time: 6 hours on a 16K Maspar. Recd: July 19, 1991 --------------------------------------------------------------- p(8971) Factors 3 * 5 * 11 * 1409869 * 766187915083793684972768042389 * 293249926038388768625221576487312517380343082527454351838292043 Date: July 22, 1991 Method: ecm Name: Brandon Dixon, Arjen K. Lenstra Email: bdd@flash.bellcore.com Time: 7 hours on a 16K Maspar. Recd: July 22, 1991 --------------------------------------------------------------- p(8999) Factors: 5 * 5 * 5 * 29 * 647 * 89563 * 79477505123987820636949140280177933 * 4558640105620277004086945003662597189701259359240111787 Date: August 13, 1991 Method: ppmpqs Time: approximately 0.6 mips year Name: Arjen K. Lenstra Email: lenstra@flash.bellcore.com Recd: August 13, 1991