20160901, 12:54  #89  
Sep 2003
2581_{10} Posts 
Quote:
What about the B2 bound? For Pā1, I think it normally doesn't find factors beyond the bound B2, unless exceptionally by BrentSuyama extension. Does ECM routinely find factors beyond the B2 bound? What is the effect of increasing the B2 bound, does it merely increase the probability of finding a factor within the B2 bound? 

20160919, 15:13  #90 
Noodles
"Mr. Tuch"
Dec 2007
Chennai, India
3·419 Posts 
I don't think that it will be possible to factor completely any more Fermat numbers with the current technology.
Either computational power needs to be increased either by using multiple computers or by using micro processor speed or improvements with in factoring algorithms need to be made or quantum computers  Shor's algorithm should need to be built out effectively and then efficiently up (Integer Factorization Problem Improvements ā Discrete Logarithm Problem Improvements)! (Google Search Engine features much more symbols than character map). If 2,1024+ did not drop off a small 40digit factor, it would be only factored recently, right now. 2,1039, first kilo bit SNFS factorization had been done how ever as early as Monday 21 May 2007. It had been very lucky enough that the 564 digit cofactor of 2,2048+ is being prime number candidate, or it would also have been infeasible  computationally out of reach too, right now! Given that fixed penultimate prime factor candidate of 2,2048+ which is being a smaller number candidate  not  not  larger number candidate! 
20160919, 20:41  #91  
Just call me Henry
"David"
Sep 2007
Cambridge (GMT/BST)
3^{4}×71 Posts 
Quote:
I don't know whether the cofactor has to be proven prime here. That would limit us to rather a small number of candidates. 

20160922, 15:30  #92 
"Rich"
Aug 2002
Benicia, California
2×11×53 Posts 
I ran two curves on F25 and Prime95 reported on 19 September, but the counter on the ECM Report page has not incremented from 450.
[Mon Sep 19 18:41:52 2016] UID: richs/Rich__Laptop, F25 completed 2 ECM curves, B1=1000000, B2=1000000, We4: 64119540, AID: B36AA7689965395BB40858081FC4**** What did I do wrong? 
20160922, 16:39  #93 
P90 years forever!
Aug 2002
Yeehaw, FL
2·3·1,193 Posts 
Looks like there was no stage 2 run. Two curves at B1=1M were not enough to count as 1 curve at B1=1M, B2=100M

20160928, 14:51  #94 
Apr 2012
3^{3}·13 Posts 
I'm still pursuing a particular approach to a (new) completed Fermat number factorization but the solution timeline is now tenuous. Is there any optimism, probabilistically speaking, of obtaining a factorization via conventional approaches?

20160929, 03:48  #95 
Apr 2012
15F_{16} Posts 
Ok. Asked and answered.

20160929, 07:49  #96  
Sep 2003
29×89 Posts 
Quote:
On a 2.4 GHz Haswell machine, each curve for F12 takes maybe 3 hours and each curve for F13 takes maybe an hour (using mprime). 

20160929, 12:38  #97 
"Carlos Pinho"
Oct 2011
Milton Keynes, UK
3×37×43 Posts 
In a few hours I will finish a run of 10 curves for F12. Will Prime95 automatically submit the results into server despite the fact that I didn't setup my client ID on it or should I manually submit them onto Prime95 webpage at ''MANUAL TESTING/RESULTS'' submission form?
Also how can I set on the txt files stage 2 to use 4GB? Running two cores on a 16GB machine. Thank you in advance. Last fiddled with by pinhodecarlos on 20160929 at 12:44 
20160929, 13:06  #98  
Sep 2003
A15_{16} Posts 
Quote:
Quote:


20160929, 18:51  #99 
"Carlos Pinho"
Oct 2011
Milton Keynes, UK
4773_{10} Posts 
I've uploaded 10 curves for F12. More to come next week.
Code:
[Thu Sep 29 19:34:22 2016] F12 completed 5 ECM curves, B1=800000000, B2=80000000000, We4: D02C2838 F12 completed 5 ECM curves, B1=800000000, B2=80000000000, We4: D02C2838 
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