20170917, 08:28  #23  
Undefined
"The unspeakable one"
Jun 2006
My evil lair
5×7×181 Posts 
The plural of "guess" is not "fact"
Quote:


20170917, 17:53  #24 
"/X\(‘‘)/X\"
Jan 2013
101101111001_{2} Posts 

20170917, 17:58  #25 
Undefined
"The unspeakable one"
Jun 2006
My evil lair
5×7×181 Posts 
Maybe. But there is a difference in that we can audit results from users doing TF to compare the expected vs discovered factors. It isn't a perfect test of course. However, there is no equivalent test we can apply to the results from TJAOI.

20170918, 00:42  #26  
Sep 2003
5·11·47 Posts 
Quote:
Spoiler: from the empirical evidence, it is very systematic. Apart from one glitch almost three years ago, which was quickly fixed, it is indeed true that when TJAOI finishes with a given bitsize range, no new factors of that bit size are ever discovered, by him or by anyone else. Doing TF for 64bits or smaller will not find any new factors. Even 65 bits would probably just be a duplication of effort, since we can expect TJAOI to systematically complete that range sometime in 2018. 

20170926, 04:08  #27 
Einyen
Dec 2003
Denmark
2^{3}×11×37 Posts 
Here is a graph of the number of factored exponents (at least 1 factor) since November 2008 based on the summary files.
factored.png The top of the chart 30,850,000 is roughly at 20M unfactored exponents (19,997,534). Unfortunately the slope has gone down during 2017, the averate rate in the last 6 months is 436 exponents per day, which will give 10.1 years to reach 20M unfactored exponents. 
20170926, 07:04  #28 
Einyen
Dec 2003
Denmark
2^{3}·11·37 Posts 
Last fiddled with by ATH on 20170926 at 07:05 
20170926, 14:46  #29 
1976 Toyota Corona years forever!
"Wayne"
Nov 2006
Saskatchewan, Canada
1001110000101_{2} Posts 
Yeah I know its a long way away....but I think it will be done before all exponents are tested up to 100M ... or before we find our find a 100M digit prime.
I just find it interesting to watch. And if I can knock off a couple dozen ranges over the next year it will be fun. TeeHeeHee And thanks for the data. Last fiddled with by petrw1 on 20170926 at 14:47 
20171015, 03:56  #30 
1976 Toyota Corona years forever!
"Wayne"
Nov 2006
Saskatchewan, Canada
1385_{16} Posts 
Oct 15, 2017 Update; 1 month later
643 more exponents factored in the ranges of interest....0  59.9M
(In ranges where there are still more than 1,999 unfactored. 2 more ranges cleared (now below 2,000): 48.9M and 49.1M 
20171117, 05:08  #31 
1976 Toyota Corona years forever!
"Wayne"
Nov 2006
Saskatchewan, Canada
19×263 Posts 
November 16, 2017  1 month later
800 more exponents factored in the ranges of interest....0  59.9M
(In ranges where there are still more than 1,999 unfactored. 2 more ranges cleared (now below 2,000): 46.1M and 49.9M 
20171214, 23:26  #32 
1976 Toyota Corona years forever!
"Wayne"
Nov 2006
Saskatchewan, Canada
19×263 Posts 
100 days...100 factors for me.
...

20171217, 22:01  #33 
1976 Toyota Corona years forever!
"Wayne"
Nov 2006
Saskatchewan, Canada
11605_{8} Posts 
December 17,2017  Monthly Update
841 more exponents factored in the ranges of interest....0  59.9M
(In ranges where there are still more than 1,999 unfactored. 6 more ranges cleared (now below 2,000): 1.8M, 2.1M, 45.4M, 47.0M, 47.6M and 48.0M 
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