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Old 2011-12-05, 08:07   #265
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Quote:
Originally Posted by bdodson View Post
Dividing out algebraic factors is what gives you an irreducible polyn. -bd
In some cases, but more often you don't have to remove the algebraic factors. For example, if you want to factor b^323-1, you could use x^4-b, x^5-b^2 or x^6-b, all of which are irreducible for some values of b.
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Old 2011-12-05, 12:57   #266
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Quote:
Originally Posted by Random Poster View Post
In some cases, but more often you don't have to remove the algebraic factors. For example, if you want to factor b^323-1, you could use x^4-b, x^5-b^2 or x^6-b, all of which are irreducible for some values of b.
Glad to hear that you're one of the people that understand these matters.
I spent 1-2 years with Peter Montgomery coaching me on various bizarre
2LM polyn, clearing the last C<170's. Each one had some new feature I'd
never seen before! -Bruce
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Old 2012-02-02, 05:00   #267
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NFS@Home has finished 2,2382M with a quartic.
Code:
prp100 factor: 6077756725267146255871394516087565125109122376595683511796811277950146265484190858402594332845123133
prp119 factor: 46372547698813278637476432149648533597960231134211542861551196326461778834244464126653168635289747940233515345632609017
Attached Files
File Type: zip 2M2832.zip (5.9 KB, 136 views)

Last fiddled with by frmky on 2012-02-02 at 05:00
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Old 2012-02-07, 18:06   #268
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Quote:
Originally Posted by frmky View Post
NFS@Home has finished 2,2382M with a quartic.
Just realized I forgot to mention, this was another case of "warning: no irreducible prime found, switching to small primes." Nevertheless, I got the factors on the first dependency. The polynomial was
4x4+4x3+2x2+2x+1.
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Old 2012-02-26, 18:25   #269
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NFS@Home has finished 2,1990L.

Code:
prp109 factor: 3196157464997773612433721580590936118959325501324570526400274738986155572480635187898763713197906567258456681
prp126 factor: 104004713758158600035311182213312327904176488578502499043611459097552735787578478180621737006571781199935237827937486688385041
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File Type: zip 2L1990.zip (5.3 KB, 133 views)
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Old 2013-07-03, 16:11   #270
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Default 2L2362 = p63p265

Quote:
Originally Posted by bdodson View Post
OK, here's another of these, p58 from 2M1942,
...
on one of the core2 duos this time, still B1=400M, C289 = p58*C231.
Further info is included with the ECMNET report. -Bruce
An early start on US Independence Day celebrations, one of the
large memory core2's, 2L2362 C327 = p63*p265, B1 = 600e6, gmp-ecm
default B2.

-Bruce

Code:
p63 = 529648742919617610565330948734749030774985271463551032709605521
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Old 2014-02-13, 15:18   #271
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Default record 2nd factor from 2,1906M c274

Quote:
Originally Posted by frmky View Post
NFS@Home has finished 2,1990L.

Code:
prp109 factor*prp126 factor
Ryan's recently finished the current first hole on the 2LM list,
following previously doing the initial first three as of Jan 17th:
Code:
2,1894M	c227	2,1898L	c219	2,1898M	c257	2,1906M	c274
with
Code:
6249  2,1906M c274
457812618830720499461902582578199949817293505205630396103539349504519900749902792
58034704799907168753403494722916566061747810395209597. p141 Propper snfs
Looks like p134*p141, bumping the current record for second place,
largest penultimate factor, NFS@Home's p133*p139 from
Code:
6116  5, 433+ c271 
624163714774174098161847127318429399626202874611955449064731214011703440149500882
7086088786497184191229779873774610991168214097728569. p139 NFS@Home snfs
-Bruce

Uhm, that's
Code:
624163714774174098161847127318429399626202874611955449064731
214011703440149500882708608878649718419122977987377461099116
8214097728569. 
-vs-
457812618830720499461902582578199949817293505205630396103539
349504519900749902792580347047999071687534034947229165660617
47810395209597.
120+13 digits -vs- 120+14 digits.

Last fiddled with by bdodson on 2014-02-13 at 15:30 Reason: premature post-by-carriage-return
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Old 2016-08-22, 05:01   #272
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2,1934M is done.

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Old 2016-08-22, 17:41   #273
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Quote:
Originally Posted by frmky View Post
2,1934M is done.

p102*p123, yet another bad candidate for ecm. Does that
make p89 the smallest factor from these August factors?
Bruce
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Old 2016-08-23, 15:56   #274
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Quote:
Originally Posted by bdodson View Post
p102*p123, yet another bad candidate for ecm. Does that
make p89 the smallest factor from these August factors?
Bruce
Earlier this year there seemed to be a lot of P7x factors, but all of the latest ones have been large.
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Old 2016-08-30, 06:17   #275
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2,1954M is done. A P80 this time!

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