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 2005-01-18, 14:19 #1 garo     Aug 2002 Termonfeckin, IE 24×173 Posts 7- table Code: Size Base Index Mod Diff Ratio 320 7 379 - 320.2 1 274 7 383 - 323.6 0.846 299 7 389 - 328.7 0.909 220 7 395 - 267.0 0.823 /5q 281 7 419 - 354 0.792 305 7 421 - 355.7 0.855 221 7 425 - 287.3 0.767 /5q 315 7 431 - 364.2 0.863 342 7 433 - 365.9 0.933 341 7 439 - 370.9 0.917 Last fiddled with by Batalov on 2021-03-31 at 08:24 Reason: 7,443- is done (ecm)
 2005-10-14, 09:05 #2 geoff     Mar 2003 New Zealand 13·89 Posts Code: 7,259- C175 = P69 * P106 P69 = 357708888729481429441295130414301389734167320382217282028474835603757 P106 = 4105565335483009892405469384537186162336640263688626513538197586407434630567675699756450562264314334763133 This was done using ggnfs.
 2005-11-08, 09:18 #3 akruppa     "Nancy" Aug 2002 Alexandria 46438 Posts 2300 curves at B1=11M on 7,263- 7,281- 7,387- 7,361- 7,373- 7,389- 7,391-. Adds 0.50108 to p45 and 0.06662 to p50 for each. Alex Last fiddled with by akruppa on 2005-11-09 at 19:54
 2005-11-30, 20:55 #4 akruppa     "Nancy" Aug 2002 Alexandria 2,467 Posts 8394 curves at B1=44M on 7,379- c320. Adds 6.47185 to p45, 1.09425 to p50 and 0.16726 to p55. Alex
2005-12-01, 13:30   #5
R.D. Silverman

"Bob Silverman"
Nov 2003
North of Boston

23×3×311 Posts

Quote:
 Originally Posted by akruppa 8394 curves at B1=44M on 7,379- c320. Adds 6.47185 to p45, 1.09425 to p50 and 0.16726 to p55. Alex

Hi,

What criteria do you use to select your ECM candidates?

 2005-12-01, 15:29 #6 akruppa     "Nancy" Aug 2002 Alexandria 2,467 Posts Mostly base 3, where 3,487- just started the matrix job. I'll do others soon. Besides base 3, p,q- with p,q prime and no/few known primitive factors are high on my list, too. Currently ECM is running on 11,239- c246. Alex Last fiddled with by akruppa on 2005-12-01 at 16:24 Reason: typo
2007-05-17, 23:56   #7
bdodson

Jun 2005
lehigh.edu

210 Posts
263 = 50 + 213, completes 7, 347-

Quote:
 Originally Posted by garo Code: Base Index Size 11M(45digits) 43M(50digits) 110M(55digits) 260M(60digits) Decimal ... 7 347- C263 0(0.267423) 0(0.0522979) 165(0.00921839) 0(0.00148122) 33026113620772114208766604063467661003723471054258542654638480163235395066667816968649454626706486286757449262870499223580340566358988528768748899525538521074418576135045990723823283809539231151245039475832681824086824878451971862643338135772425108809320687434713 ...
p50 = 89823582672830825295829211905814036272016809423171

nearing half-way through the last run on the last large incomplete range for
testing to p50, 2100 curves/7830 left to go on the generic c251-c299 list
(not 2- or 2+ with n < 1200). The only other, smaller range left having
been updated on the 2- discussion thread.

I'm assuming this one's complete, but Paul notes that he has
the 213-digit cofactor listed as "prp213", with the comment

Quote:
 PS: note that I write 'prp213' and not 'p213', since one of the major computer algebra systems (which I am using) says (courtesy Richard Pinch): > ifactor(381707*293621*29363); (3290922560713061) > isprime(2432870015941); true > ifactor(2432870015941); (1213) (551461) (3637)
-bd (factor reported May 14th)

 2007-07-18, 10:05 #8 fivemack (loop (#_fork))     Feb 2006 Cambridge, England 144668 Posts New 7-repunit pseudoprime (7^35201-1)/6 is a base-3 pseudoprime. At 29749 digits it's much too big for ECPP (20562 digits took six K8/2400-years, 15071 digits took two Xeon/2600-years); 35200 looks splendidly composite, so I suppose I should start hunting cyclotomic factors.
2007-07-18, 12:00   #9
bdodson

Jun 2005
lehigh.edu

40016 Posts

Quote:
 Originally Posted by fivemack (7^35201-1)/6 is a base-3 pseudoprime. At 29749 digits it's much too big for ...
Not to mention being a bit beyond the limit for the Cunningham
Tables. -bd

2007-07-18, 13:20   #10
R.D. Silverman

"Bob Silverman"
Nov 2003
North of Boston

11101001010002 Posts

Quote:
 Originally Posted by fivemack (7^35201-1)/6 is a base-3 pseudoprime. At 29749 digits it's much too big for ECPP (20562 digits took six K8/2400-years, 15071 digits took two Xeon/2600-years); 35200 looks splendidly composite, so I suppose I should start hunting cyclotomic factors.
Indeed. The cyclotomic factors will not help ECPP, but they can greatly help
APR-CL.

2007-08-13, 13:20   #11
bdodson

Jun 2005
lehigh.edu

210 Posts

Quote:
 Originally Posted by garo Code: Base Index Size 11M(45digits) 43M(50digits) 110M(55digits) 260M(60digits) Decimal ... 7 317- C202 5215(1.40359) 0(0.203361) 165(0.00921839) 0(0.00148122) 4817387775478910748337470675295461658412305210077087712511098562369825581753381999542716517188369317201504120140218066670989302797199195269475798377529788582602272660294198048152636381680533617071470639 ...
This short table's now one shorter, after 7,317- c202 = p51*p151, with

p51 = 399676211948778347375576150888294069325575626336229

The 3rd cure2 duo factor (from the B1 = 260M run; on the part of
c190-c209 above difficulty 250). PaulZ's c120-355 file lists this as
entering ecmnet files as a c249, with what looks like a p47 found by
Philip McLaughlin 20.02.05. -Bruce

 Similar Threads Thread Thread Starter Forum Replies Last Post garo Cunningham Tables 87 2022-03-25 19:16 garo Cunningham Tables 100 2021-01-04 22:36 garo Cunningham Tables 80 2021-01-04 22:33 garo Cunningham Tables 82 2020-03-15 21:47 garo Cunningham Tables 41 2016-08-04 04:24

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