I'm solving the matrix for 4,3,331-
 

I lost my access to the Xeons a few months ago, and have been sieving on a single Pentium M. :whistle:

My lifestyle is about to improve. A machine with a pair of dual-core 2.6 GHz 2218 Opterons will soon be available -- it feels good to be able to say that.

Once 4,3,331- is through, I'll continue with 4,3,337-.

New factor found

[code]
[2008-01-28 15:21:13 GMT] Factor found! 12-7_199 / 89540090837783429217264968795710313 B1: 1000000 sigma: 660321641 Type: probable Cofactor is 'Probable': 127667521884227325883512080890227389948022498528054580204931772057591735360253231737769644059421164014139158336577656881389048735533181541261864369417085112276111353596951818639597 (found in step 2)
[/code]

By Alperton's applet of cofactor

[code]
Sum of squares: a^2 + b^2
a = 298843 422559 448651 169927 048089 292347 093146 476228 010175 814784
602812 058808 982782 289452 841126
b = 195857 424360 635721 275136 752161 136299 570648 176343 472213 064341
130109 495377 547356 608406 604061
[/code]

w00t a P180

Down to the last 450
 

I've been picking off the easy SNFS cases; there are now only 449 numbers left unfactored ...

make that 448 :smile:

[CODE][2008-01-29 06:23:03 GMT] Factor found! 11+3_152 / 94985134160254739432190635072362321 B1: 1000000 sigma: 335408353 Type: probable Cofactor is 'Probable': 9613415865874594047069474952561767941432308515194349238931610997878597393949861212201703557847593267121668676094641 (found in step 2)[/CODE]

[QUOTE=FactorEyes;123771]
Once 4,3,331- is through, I'll continue with 4,3,337-.[/QUOTE]

4,3,331- has finished. The GNFS run on the remaining c144 gives p65.p80, where

p65 = 15768819688158403159480942976861996183156961752085738184801039643

p80 = 25924206686460762918576669320516961989706265990660717862709460461559913324178383

The sieving was 7 months of fun on my Pentium M laptop. Much thanks to Jason P for the wonderful postprocessing capabilities of msieve 1.33, which did the filtering, matrix, and square root work in around 30 hours.

[QUOTE=FactorEyes;124321]Much thanks to Jason P for the wonderful postprocessing capabilities of msieve 1.33, which did the filtering, matrix, and square root work in around 30 hours.[/QUOTE]
My pleasure :)

And yet another one :nuke:

[CODE][2008-01-31 19:46:12 GMT] Factor found! 10-3_167 / 13794225747040472921284109789527168597 B1: 1000000 sigma: 1776392216 Type: probable Cofactor is 'Probable': 76610681982178716593894883157124124067111744502207267624131581619335261212550187196323983681923 (found in step 2)[/CODE]

[QUOTE=CedricVonck;124433]And yet another one :nuke:

[CODE][2008-01-31 19:46:12 GMT] Factor found! 10-3_167 / 13794225747040472921284109789527168597 B1: 1000000 sigma: 1776392216 Type: probable Cofactor is 'Probable': 76610681982178716593894883157124124067111744502207267624131581619335261212550187196323983681923 (found in step 2)[/CODE][/QUOTE]

Stop posting these small ecm factors here. Send them to Paul Leyland.

Dear,

If you know anything about ecm, you should be aware that these are sent to Paul immediately. Sorry for being considerate.

BTW, are you or Paul the moderator of this project? :glare:

Best regards
C.

[QUOTE=R.D. Silverman;124462]Stop posting these small ecm factors here. Send them to Paul Leyland.[/QUOTE]Bob: he does send them to me.

However, I only update the tables on the web at irregular intervals, roughly every week or two at the moment, so others who may be thinking of working on these numbers by NFS or QS may not learn of a complete factorization soon enough.

If he wants to post the factors, let him. Before much longer the arrival rate will fall to such a low level that you'll barely notice them.


Paul

[CODE][2008-02-03 17:20:27 GMT] Factor found! 11+7_199 / 3796614182825527289035033883839979 B1: 1000000 sigma: -765388764 Type: probable Cofactor is 'Composite': 25262444686105108942638703133797250962024472151334311102668671096412783865142531660883308578700822008729778142879946390661566459659000197954471891668849076319224868077758047 (found in step 2)[/CODE]