20050801, 16:27  #1 
Aug 2002
Termonfeckin, IE
3^{2}×307 Posts 
2LM Table
Code:
Size Base Index Diff. SizeRatio Notes 296 2 2158L 324.8 0.911 236 2 2162M 325.4 0.725 258 2 2162L 325.4 0.792 273 2 2174L 327.2 0.834 309 2 2174M 327.2 0.944 301 2 2194M 330.2 0.911 304 2 2194L 330.2 0.92 243 2 2206L 332.0 0.731 228 2 2222L 334.4 0.681 289 2 2222M 334.4 0.864 253 2 2246L 338.0 0.748 221 2 2246M 338.0 0.65 255 2 2266L 341.0 0.747 234 2 2278M 342.8 0.682 289 2 2278L 342.8 0.842 293 2 2302L 346.4 0.845 287 2 2306L 347.0 0.826 296 2 2318M 348.8 0.848 210 2 2330M 321.4g 0.748 /gnfs(/5q) 291 2 2342M 352.5 0.82 248 2 2350M 282.9 0.876 /5q 271 2 2354M 354.3 0.764 314 2 2354L 354.3 0.886 309 2 2374L 357.3 0.864 305 2 2378L 357.9 0.852 273 2 2390L 287.7 0.948 /5q 326 2 2398M 360.9 0.903 231 2 2402L 361.5 0.637 340 2 2402M 361.5 0.939 290 2 2410L 290.1 0.997 /5q 269 2 2414L 363.3 0.738 249 2 2414M 363.3 0.7 355 2 2426L 365.1 0.97 366 2 2426M 365.1 1 323 2 2434L 366.3 0.88 324 2 2434M 366.3 0.883 233 2 2438M 366.9 0.633 256 2 2438L 366.9 0.696 359 2 2446L 368.1 0.973 292 2 2462M 370.5 0.786 294 2 2474L 372.3 0.788 292 2 2482L 373.5 0.78 292 2 2482M 373.5 0.78 221 2 2494M 375.3 0.587 /gnfs 340 2 2494L 375.3 0.904 271 2 2498M 375.9 0.719 318 2 2498L 375.9 0.844 309 2 2506M 323.3 0.954 /7 293 2 2510M 302.2 0.967 /5q 295 2 2510L 302.2 0.974 /5q 371 2 2518L 378.9 0.977 312 2 2522L 350.3 0.888 /13 265 2 2534M 326.9 0.809 /7 314 2 2534L 326.9 0.958 /7 264 2 2542M 382.6 0.688 354 2 2542L 382.6 0.923 270 2 2546L 383.2 0.7 334 2 2546M 383.2 0.87 329 2 2554M 384.4 0.854 379 2 2554L 384.4 0.984 344 2 2558L 385 0.892 364 2 2558M 385 0.944 221 2 2566L 386.2 0.57 /gnfs 290 2 2570L 309.4 0.935 /5q 337 2 2578L 388 0.867 327 2 2582L 388.6 0.84 360 2 2582M 388.6 0.925 390 2 2594M 390.4 0.997 Last fiddled with by Batalov on 20210228 at 16:45 Reason: 2,2230M is done 
20050828, 23:49  #2 
Aug 2004
New Zealand
2·3·37 Posts 
2,1946L C140
907147414295234719242629807565546337688011292303997378516999456233 (p66) * 28416491553866318948613972681347473038352581577711630551741160025430993649 (p74) by GNFS, 10 days 
20050902, 13:38  #3  
Nov 2003
1110100100100_{2} Posts 
Quote:


20050910, 01:58  #4 
Mar 2003
New Zealand
2205_{8} Posts 
2,1454M C208 = P55.C153
P55=3326917114154226280619267212241615232568327587322090513 C153=915590890031546358569931229389214648838744985513829148082412712151769633184172734545011876603902387208431039309570077194233060753997862137505018499128349 I found this factor with mprime 23.9 (stage one on 2^1454+1) and gmpecm 6.0.1 (stage two on 2,1454L and 2,1454M). At the moment it makes number 14 on the list of all time largest factors by ECM, and number 8 for 2005. It is my personal best by ECM :) Last fiddled with by geoff on 20050910 at 02:02 
20050911, 20:30  #5 
Aug 2004
New Zealand
2·3·37 Posts 
Congratulations. A P55 with ECM is still a very good find.

20050912, 12:38  #6  
Nov 2003
16444_{8} Posts 
Quote:
Is it faster to finish the number using SNFS on 2^727 + 2 364 + 1 or by using GNFS on the C153? 

20050912, 16:38  #7  
Bamboozled!
"πΊππ·π·π"
May 2003
Down not across
2^{2}·2,663 Posts 
Quote:
That answer is not quite as facetious as it sounds. Here is just one reason. Which GNFS polynomial would you use? In particular, how much time are you prepared to spend searching for it? The rules of thumb indicate that each algorithm would take a comparable amount of computation. This, presumably, is why Bob asked the question. Paul 

20051005, 09:22  #8 
"Nancy"
Aug 2002
Alexandria
2,467 Posts 
1000 curves at B1=11M, B2=35133391030, polynomial Dickson(12) on 2,1382M. Adds .22322 to p45 and .02971 to p50.
Alex (Edit: Added to table  Alex) Last fiddled with by akruppa on 20051017 at 17:34 
20051007, 00:12  #9 
Jul 2004
Potsdam, Germany
1477_{8} Posts 
I did 102 curves B1=11000000, B2=25577181640, polynomial Dickson(12) for 2,1378M.
Adds .02222 to p45 and .00295 to p50. Last fiddled with by Mystwalker on 20051007 at 00:13 
20051012, 07:26  #10 
"Nancy"
Aug 2002
Alexandria
2467_{10} Posts 
2400 curves at B1=11M on 2,1382M, adds .53573 to p45 and .07132 to p50, and P1 with B1=1e10,B2=1e14.
4320 curves at B1=11M on 2,1402L, adds .9643 to p45 and .12837 to p50, and P1 with B1=1e10,B2=1e14. Alex (Edit: Added to table  Alex) Last fiddled with by akruppa on 20051017 at 17:42 
20051013, 00:52  #11 
Oct 2004
tropical Massachusetts
3·23 Posts 
For 2,1402L, 300 curves @B1=11M and 1500 curves @B1=43M with GMPECM 6.0.1, no factor found. Could someone tell me how these newfangled probability sums work?
(Edit: Added to table  Alex) Last fiddled with by akruppa on 20051017 at 17:53 
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