20050118, 14:25  #1 
Aug 2002
Termonfeckin, IE
2^{4}·173 Posts 
5+ table
Code:
Size 5 N + Diff Ratio Comments 291 5 461 + 322.2 0.90 249 5 463 + 323.6 0.76 223 5 464 + 324.3 0.68 290 5 467 + 326.4 0.88 317 5 472 + 329.9 0.96 311 5 478 + 334.1 0.93 224 5 479 + 334.8 0.66 301 5 488 + 341.0 0.88 282 5 493 + 344.5 0.81 303 5 499 + 348.7 0.86 241 5 500 + 279.5 0.86 /5q 246 5 503 + 351.6 0.75 242 5 505 + 282.4 0.86 /5q 332 5 508 + 355.1 0.94 355 5 509 + 355.8 1.00 329 5 512 + 357.9 0.92 228 5 520 + 290.8 0.78 /5q/13 219 5 523 + 365.6 0.59 /ready for GNFS !! 358 5 524 + 366.3 0.98 254 5 526 + 367.7 0.69 314 5 529 + 369.8 0.85 369 5 538 + 376.0 0.98 293 5 544 + 380.2 0.77 263 5 545 + 304.8 0.86 /5q 342 5 547 + 382.3 0.89 276 5 548 + 383.0 0.72 Last fiddled with by Batalov on 20220325 at 19:29 Reason: 5,458+ is done 
20051107, 07:51  #2 
"Nancy"
Aug 2002
Alexandria
2,467 Posts 
4160 curves at B1=44M on each of 5,311+ 5,313+ 5,346+ 5,377+. Adds 3.2074 to p45, 0.5423 to p50 and 0.08289 to p55 for each.
Alex 
20060510, 04:02  #3 
Mar 2003
New Zealand
13·89 Posts 
5,417+ C172 = P80.P92
P80=62312778544931373437312353901828477385743715090139973652675999660403253132274229 This was by SNFS with ggnfs (CVS 20060310) using 28 bit large primes and factor base limits of 20 million each side. Sieving took 75 GHz days on a mix of P2,P3,P4 CPUs, linear algebra took 15 GHz days on a P4. Peak RAM usage was 895 MB. 
20060510, 11:34  #4  
"Bob Silverman"
Nov 2003
North of Boston
1D52_{16} Posts 
Quote:
Will you also do 5,402+ and 5,411+ (both slightly easier)??? 

20060513, 03:44  #5 
Mar 2003
New Zealand
13×89 Posts 
I might do 5,411+ when I have finished 7,539L, but I will leave 5,402+ for someone else.

20060927, 18:06  #6  
Jun 2005
lehigh.edu
1024_{10} Posts 
p49 from 5,382+, leaving C172
Quote:
upon how current the list is; with 311+ and 313+ in the current NFSNET queue. So p49 = 1450381225491210600799800528142580736112755564637, but the cofactor at C172 is still large (well, under 200digits, but it would be one of the larger gnfs's  there's a c176 Cunningham, then this would be 3rd?). SNFS difficulty is 267? With .667*267 = 178? Ooh, not good, the c172 might be easier, but not by too much. I'll finish the t50 on the c172 in a dayortwo, but pending another smallish factor, this one may be around for a while longer. Bruce (ah, an opteron factor, b1=260M; 35 more from c211c234 that need 1050 curves, 102 down to a last run of 525 curves for t50.) 

20060927, 18:32  #7 
"Bob Silverman"
Nov 2003
North of Boston
2×3^{3}×139 Posts 

20060928, 12:47  #8 
Jun 2005
lehigh.edu
2^{10} Posts 
5+ list is hot!
Just a few hours after the last one, the Opterons picked up
a lateish p44 = 12963766440395958108028956666113786671783201 from 5, 358+ c233, this time with prime cofactor. I had already finished 2*t45 before the current pass, so this ought to serve as a cautionary note about what to expect from ranges where t50 has finished  maybe a p47 would be a surprise, but there'll be lots of p48, p49's still left. Speaking of which, the new c172 cofactor from 5,382+ has passed its t50, without any further factors. Bruce (OTOH, 525 curves with these p60limits found this p44 three times; there are definitively going to be fewer factors < p47 once the 2nd 525 curves needed to t50 finishes on c211c233. First pass of 525 curves is now up to 54661560..., just 31 more numbers of the original list of 137 left on the first pass.) 
20061203, 14:25  #9  
Jun 2005
lehigh.edu
1024_{10} Posts 
new c165 vs snfs difficulty?
Quote:
on the 2nd pass with 525 curves b1=260M (on the Opterons). 5,416+ C219 gives up a p55 = 4670727010078891472720277353744610046303535783924992577 leaving a c165. Checking Sam's main list, 416 gives an algebraic factor of (32), then has a bunch of goodly sized nonalg factors. In fact, the product of the 3 listed nonalg with the new p55 has 104digits, so 165 for gnfs vs 165+104=269 for snfs; which would generically suggest that the gnfs is easier. Worse, the c165 has passed its test to p50 (along with the previous c219), and the p55 ecm factor doesn't bode well for a smaller p5x or p4x. Bruce 

20070224, 01:51  #10 
Mar 2003
New Zealand
13·89 Posts 
5,411+ done
5,411+ C185 = P55.P61.P70
P55=2110554780135004202099793136762963590324098107950957883 P61=3852735458397598071150011401658661874155403923682368550872409 This was by SNFS (difficulty 192.9) using ggnfs CVS 20060310. Factor base size was 18 million each side, 28 bit large primes. It took 9 matsolve attempts before Lanczos would converge, I don't know what caused this problem. 2,1926M (SNFS difficulty 193.3) completed using the same parameters with no problems at all. I will do 5,402+ C152 next. 
20070323, 02:16  #11 
Mar 2003
New Zealand
13·89 Posts 
5,402+ done
By SNFS:
5,402+ C152 = P73.P80 P73=3595995025826369977659826406670547615979975895153952282217794900186926613 
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