20111205, 08:07  #265 
Dec 2008
179 Posts 
In some cases, but more often you don't have to remove the algebraic factors. For example, if you want to factor b^3231, you could use x^4b, x^5b^2 or x^6b, all of which are irreducible for some values of b.

20111205, 12:57  #266  
Jun 2005
lehigh.edu
2^{10} Posts 
Quote:
I spent 12 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 

20120202, 05:00  #267 
Jul 2003
So Cal
7·313 Posts 
NFS@Home has finished 2,2382M with a quartic.
Code:
prp100 factor: 6077756725267146255871394516087565125109122376595683511796811277950146265484190858402594332845123133 prp119 factor: 46372547698813278637476432149648533597960231134211542861551196326461778834244464126653168635289747940233515345632609017 Last fiddled with by frmky on 20120202 at 05:00 
20120207, 18:06  #268 
Jul 2003
So Cal
2191_{10} Posts 
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
4x^{4}+4x^{3}+2x^{2}+2x+1. 
20120226, 18:25  #269 
Jul 2003
So Cal
88F_{16} Posts 
NFS@Home has finished 2,1990L.
Code:
prp109 factor: 3196157464997773612433721580590936118959325501324570526400274738986155572480635187898763713197906567258456681 prp126 factor: 104004713758158600035311182213312327904176488578502499043611459097552735787578478180621737006571781199935237827937486688385041 
20130703, 16:11  #270  
Jun 2005
lehigh.edu
2^{10} Posts 
2L2362 = p63p265
Quote:
large memory core2's, 2L2362 C327 = p63*p265, B1 = 600e6, gmpecm default B2. Bruce Code:
p63 = 529648742919617610565330948734749030774985271463551032709605521 

20140213, 15:18  #271 
Jun 2005
lehigh.edu
2000_{8} Posts 
record 2nd factor from 2,1906M c274
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 Code:
6249 2,1906M c274 457812618830720499461902582578199949817293505205630396103539349504519900749902792 58034704799907168753403494722916566061747810395209597. p141 Propper snfs largest penultimate factor, NFS@Home's p133*p139 from Code:
6116 5, 433+ c271 624163714774174098161847127318429399626202874611955449064731214011703440149500882 7086088786497184191229779873774610991168214097728569. p139 NFS@Home snfs Uhm, that's Code:
624163714774174098161847127318429399626202874611955449064731 214011703440149500882708608878649718419122977987377461099116 8214097728569. vs 457812618830720499461902582578199949817293505205630396103539 349504519900749902792580347047999071687534034947229165660617 47810395209597. Last fiddled with by bdodson on 20140213 at 15:30 Reason: premature postbycarriagereturn 
20160822, 05:01  #272 
Jul 2003
So Cal
100010001111_{2} Posts 
2,1934M is done.

20160822, 17:41  #273 
Jun 2005
lehigh.edu
2^{10} Posts 

20160823, 15:56  #274 
Jul 2003
So Cal
7·313 Posts 

20160830, 06:17  #275 
Jul 2003
So Cal
7·313 Posts 
2,1954M is done. A P80 this time!

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