## RSA Challenge - Partition List (100 digits - 109 digits)

```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)
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
---------------------------------------------------------------
```

E-mail : kc2h-msm@asahi-net.or.jp
Hisanori Mishima