20230126, 10:54  #2245 
Dec 2021
3×19 Posts 
M9001 has a factor: 26853085360471857637409520958360644587565839 (ECM curve 52, B1=11000000, B2=99324315090)
Sigma=3946644149112759 gives this a group order 2^3*3*5*11*254147*964721*1160987*1563967*10243213*4461104491 Barely within the B1 bounds. Quite a way within the B2 bounds, but not within prev30.9 mprime bounds :) 
20230128, 15:16  #2246  
"James Heinrich"
May 2004
exNorthern Ontario
10104_{8} Posts 
Denial strikes again:
Quote:


20230128, 15:41  #2247  
Dec 2021
3×19 Posts 
Quote:
For the factor of M8111, we get required B1=3752981, and B2=16158607739~=16x10^9. Last fiddled with by Denial140 on 20230128 at 15:42 

20230129, 05:06  #2248 
Sep 2022
2^{2}·3·7 Posts 
Woah again? So many factors :O
I am currently extending t40 on unfactored exponents to exponent=6e5 (previously was at 5.2e5 with some stragglers below 5e5). Almost halfway there, no factors yet, I don't expect to find any but then again I don't know what the expected factor chance is. If I do get one this place will be the first to know =) 
20230204, 00:27  #2249 
Sep 2002
1101010100_{2} Posts 
P1 found a factor in stage #2, B1=538000, B2=19053972.
UID: Jwb52z/Clay, M119785943 has a factor: 1244924310880748724624143 (P1, B1=538000, B2=19053972) 80.042 bits. 
20230204, 23:01  #2250 
Sep 2022
2^{2}·3·7 Posts 
Finally got a factor in 0.05M:
M58711 has a factor: 3601049884575574689964727254469924804359 (ECM curve 18, B1=11000000, B2=326123803005, Sigma=682428721328954), 131 bits Reduces to group order 2^2 · 3^2 · 189913 · 408923 · 1060469 · 3162659 · 4625119 · 83034227 inside B1 by a factor of almost 3 and inside B2 by a factor of almost 4000 (!) 1 down, 32 more exponents to go to reach less than 1000 unfactored in 0.0M range. Last fiddled with by Rubiksmath on 20230204 at 23:33 
20230204, 23:24  #2251 
Jul 2003
Behind BB
2^{2}·3^{2}·5·11 Posts 
Nice factor! Nice goal!

20230204, 23:35  #2252 
Sep 2022
2^{2}·3·7 Posts 
True but the effort required to reach said goal is immense... I would need significant help if it were to be achieved anytime soon and even then it's still a tall order. Took my computer 4 months to grab a single factor and that was the low hanging fruit.....

20230205, 00:01  #2253 
"Curtis"
Feb 2005
Riverside, CA
2^{3}×5×11×13 Posts 
If you want help, I suggest starting a thread for the topic.
I'm game to find a factor in that range to help your trek. 
20230205, 00:11  #2254 
Jul 2003
Behind BB
7BC_{16} Posts 
I have queued some P1 assignments in 60,000 < p < 100,000 that still have rather smallish B2 for the range. I should complete those in about two weeks. I hope to find one factor in that group. I have my eye on additional targets in that range, so coordination might be smart.

20230214, 04:08  #2255 
Sep 2002
2^{2}·3·71 Posts 
P1 found a factor in stage #2, B1=538000, B2=19065312.
UID: Jwb52z/Clay, M119859749 has a factor: 33194967377827180019537297 (P1, B1=538000, B2=19065312) 84.779 bits. 
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