COMPLETE!!!! Thinking out loud about getting under 20M unfactored exponents - Page 3

retina · 2017-09-17, 08:28

Quote:

Originally Posted by GP2

also user TJAOI has covered everything up to 64 bits.

It is my understanding that we don't know this for certain. It is merely an assumption that people seem to take as a known truth.

Mark Rose · 2017-09-17, 17:53

Quote:

Originally Posted by retina

It is my understanding that we don't know this for certain. It is merely an assumption that people seem to take as a known truth.

It's no different than trusting all the other "no factor" TF results.

retina · 2017-09-17, 17:58

Quote:

Originally Posted by Mark Rose

It's no different than trusting all the other "no factor" TF results.

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.

GP2 · 2017-09-18, 00:42

Quote:

Originally Posted by retina

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.

See my post in the "User TJAOI" thread, where I look at the datestamps for factor discoveries in the PrimeNet database to check how systematic TJAOI's searches are.

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 bit-size range, no new factors of that bit size are ever discovered, by him or by anyone else.

Doing TF for 64-bits 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.

ATH · 2017-09-26, 04:08

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.

ATH · 2017-09-26, 07:04

Number of newly factored exponents per day, average over 30 days:

factoredspeed.png

petrw1 · 2017-09-26, 14:46

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.

petrw1 · 2017-10-15, 03:56

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

petrw1 · 2017-11-17, 05:08

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

petrw1 · 2017-12-14, 23:26

...

petrw1 · 2017-12-17, 22:01

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

2017-09-26, 07:04	#28
ATH Einyen Dec 2003 Denmark 2³×3×139 Posts	Number of newly factored exponents per day, average over 30 days: factoredspeed.png Last fiddled with by ATH on 2017-09-26 at 07:05

2017-09-26, 14:46	#29
petrw1 1976 Toyota Corona years forever! "Wayne" Nov 2006 Saskatchewan, Canada 5,197 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 2017-09-26 at 14:47

2017-10-15, 03:56	#30
petrw1 1976 Toyota Corona years forever! "Wayne" Nov 2006 Saskatchewan, Canada 5,197 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

2017-11-17, 05:08	#31
petrw1 1976 Toyota Corona years forever! "Wayne" Nov 2006 Saskatchewan, Canada 5,197 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

2017-12-14, 23:26	#32
petrw1 1976 Toyota Corona years forever! "Wayne" Nov 2006 Saskatchewan, Canada 5,197 Posts	100 days...100 factors for me. ...

2017-09-26, 04:08	#27
ATH Einyen Dec 2003 Denmark 2³·3·139 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.

2017-12-17, 22:01	#33
petrw1 1976 Toyota Corona years forever! "Wayne" Nov 2006 Saskatchewan, Canada 5,197 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

Similar Threads
Thread	Thread Starter	Forum	Replies	Last Post
Thinking of Joining GPU to 72	jschwar313	GPU to 72	3	2016-01-31 00:50
Thinking about lasieve5	Batalov	Factoring	6	2011-12-27 22:40
Thinking about buying a panda	jasong	jasong	1	2008-11-11 09:43
Loud thinking on irregular primes	devarajkandadai	Math	4	2007-07-25 03:01
Question on unfactored numbers...	WraithX	GMP-ECM	1	2006-03-19 22:16