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-   -   Polynomial Request Thread (https://www.mersenneforum.org/showthread.php?t=18368)

R.D. Silverman 2013-09-09 19:52

[QUOTE=frmky;352501]Damn! Here's the difference between ECM factoring and ECM pretesting. :smile:

How about 3,697+?[/QUOTE]

2,1135+ (a horrible quartic otherwise) or 10,311+? or 2,1165+?

wombatman 2013-09-10 02:52

Got a brand new one for the C173!
[CODE]polynomial selection complete
expected 2.27e-013 to > 2.61e-013
R0: -699386827836290316401216452717318
R1: 1398262035546010309
A0: 451266459216860959346617888115255632281
A1: 3173082985742773850470626537077816
A2: -3328539108882443923865205317
A3: -5471519931550117209376
A4: 723081393099036
A5: 103296600
skew 2163940.32, size 7.070e-017, alpha -7.033, combined = 2.305e-013 rroots = 5[/CODE]

jasonp 2013-09-10 12:07

[QUOTE=wombatman;352506]If I might ask a slightly stupid question, does "t55" refer to running the number of curves suggested by GMP-ECM to find a factor of a given digit length? If so, does "7t55" refer to doing this 7 times? Thanks![/QUOTE]
See [url="http://mersenneforum.org/showthread.php?t=18544"]here[/url] for more discussion on this.

wombatman 2013-09-10 13:10

Excellent! Thanks Jason.

lorgix 2013-09-14 12:07

My best one so far for the C173 (I accidentally wrote "C175" in post #198):

[CODE]# norm 7.475154e-017 alpha -6.759886 e 2.120e-013 rroots 3
skew: 3918982.93
c0: -26415080140414525245706062556030815859200
c1: -6063026331364550036015896404157016
c2: 6283703731829456693443614374
c3: 339518266628882151732
c4: -346537303051239
c5: 51680664
Y0: -803283856170732121581861413596261
Y1: 928056297158488283[/CODE]

RichD 2013-09-15 00:57

For c173 @ 4788:5154

The one to better is posted [URL="http://mersenneforum.org/showpost.php?p=337945&postcount=2102"]here[/URL].

wombatman 2013-09-15 03:34

For convenience of viewing:

[CODE]# aq4788:5154
n: 17285154910805941577069464828335617544658066950627644021728302169526833018711670895092479561808160256160945139573800969912234390238908363042669550995167201537635764747005337
skew: 54453878.81
# skew 54453878.81, size 7.891e-17, alpha -8.253, combined = 2.438e-13 rroots = 5
Y0: -1984194768321507434058802020573021
Y1: 606427190915971723
c0: 17111183463229567250042987271571318169467520
c1: 5954767784533309908917895048435184628
c2: -48133715828031681374056493046
c3: -5548160975795079236918
c4: 18780066010531
c5: 562020[/CODE]

RichD 2013-09-18 04:54

[QUOTE=wombatman;353027]For convenience of viewing:[/QUOTE]

Thanks [B]wombatman[/B], good idea.

If everybody thinks this is a good enough poly, I will start trial sieving for the other parameters shortly.

In the meantime, a c162 may be appearing in the near future. :smile:

wombatman 2013-09-18 13:41

I'm certainly no expert, but the 2.305 score I got was easily the highest I ever saw on it. If anybody with more experience thinks it's worth running a little more time on, I can certainly help out with that.

RichD 2013-09-19 00:50

c162
 
Aliquot Sequence 3408:i1361 is nearing the required ECM curves before switching to GNFS. The last term is found [URL="http://factordb.com/sequences.php?se=1&aq=3408&action=last&fr=0&to=100"]here[/URL] and the composite number is [URL="http://factordb.com/index.php?id=1100000000632503312"]here[/URL].

A nice poly for this c162 would be appreciated. :smile:

wombatman 2013-09-19 01:26

I'll start at 20M. Doc is updated: [url]https://docs.google.com/spreadsheet/ccc?key=0AlFp2DvBLxsUdEtUMFE0bmk3blRQQlJhS2NkcEF2b0E&usp=sharing[/url]


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