20221006, 22:02  #34  
"Bob Silverman"
Nov 2003
North of Boston
7508_{10} Posts 
Quote:


20221006, 22:26  #35 
Jul 2003
So Cal
19·137 Posts 

20221120, 09:42  #36 
Apr 2010
2×5^{3} Posts 
A few better polys:
Code:
n: 126451876805119252959661548967232013601866431183534308908427174011662073024932261126233275630388431500884665768427172907593022873289431612806891303891687570778305960728323476541491713906981621716831593952842244282430058291761 # norm 4.071969e16 alpha 9.752538 e 2.347e16 rroots 4 skew: 4099972.17 c0: 75411469889145395046741594539510303818011021471 c1: 19691135073162315084594784624103449198750 c2: 99438233376176899175468255217094130 c3: 4394174158803947144118894880 c4: 16400189169252108563099 c5: 232506169843650 c6: 4347000 Y0: 2754045785939680784737571685756365496 Y1: 4538373177770229797351 # MurphyF (Bf=6.872e+10,Bg=3.436e+10,area=1.766e+18) = 2.477e09 n: 126451876805119252959661548967232013601866431183534308908427174011662073024932261126233275630388431500884665768427172907593022873289431612806891303891687570778305960728323476541491713906981621716831593952842244282430058291761 # norm 4.143131e16 alpha 9.942142 e 2.339e16 rroots 6 skew: 45290543.52 c0: 269505104302737992226579881824069273348411150390400 c1: 31592047037538685851862704375760833455315760 c2: 1703133447582614942920906384956167268 c3: 129971466498994600011942115252 c4: 2314332759744553531033 c5: 29445952854202 c6: 50400 Y0: 3686227314243652116010167240943024263 Y1: 30016011206759833401211 # MurphyF (Bf=6.872e+10,Bg=3.436e+10,area=1.766e+18) = 2.466e09 n: 126451876805119252959661548967232013601866431183534308908427174011662073024932261126233275630388431500884665768427172907593022873289431612806891303891687570778305960728323476541491713906981621716831593952842244282430058291761 # norm 4.031559e16 alpha 12.133288 e 2.292e16 rroots 4 skew: 29346738.87 c0: 59455777517328054184793219662976360401235607337335 c1: 112779972076226040399992792530106515604140047 c2: 4298413822937233372631606035726816679 c3: 1413322411017627466877645728827 c4: 821206219249483879936 c5: 180781205008140 c6: 2494800 Y0: 2774524181546352716484898272284905686 Y1: 85331174827726081541743 # MurphyF (Bf=6.872e+10,Bg=3.436e+10,area=1.766e+18) = 2.433e09 
20221121, 21:13  #37 
Jun 2012
F0A_{16} Posts 
Regardless of which way 2,1109+ ultimately goes (i.e. SNFS or GNFS), do we still want to first run ECM on it as part of the “Gang of 31”? Which likely won’t start for another 46 weeks but I can make sure it’s first in queue.
Or are the chances of an ECM hit too low to bother delaying NFS for this particular composite by weeks or months? Looking further ahead, if 2,1097+ proves to be within the capabilities of NFS@Home then perhaps the few composites of similar difficulty on the 1987 Cunningham base2 list could be factored immediately while 2,1109+ undergoes ECM. Many paths forward becoming available. 
20221122, 00:08  #38  
"Bob Silverman"
Nov 2003
North of Boston
2^{2}×1,877 Posts 
Quote:
Quote:
Quote:


20221122, 03:02  #39 
Jul 2003
So Cal
19·137 Posts 
Presuming 2,1097+ goes ok, I'll do 2,2194L&M next. That'll give you some time for ECM.

20221122, 10:22  #40  
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
2·7·263 Posts 
Quote:


20221122, 10:26  #41  
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
E62_{16} Posts 
Quote:
Last fiddled with by sweety439 on 20221122 at 10:28 

20221122, 12:32  #42  
Just call me Henry
"David"
Sep 2007
Liverpool (GMT/BST)
2^{4}×13×29 Posts 
Quote:
I believe he is well aware of this list. Quote:
A very quick google suggested that RSA 768(232 digits), RSA240 and RSA250 have all been factored with more digits than this. 

20221122, 12:47  #43 
Jun 2012
7412_{8} Posts 

20221220, 08:39  #44 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
111001100010_{2} Posts 

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