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-   -   Thinking out loud about getting under 20M unfactored exponents (https://www.mersenneforum.org/showthread.php?t=22476)

ATH 2018-05-20 06:24

Some historical data on 50M-60M:


[CODE] Factored Unfactored
2008-11-20 10:00 UTC 327315 233666
2009-05-20 00:00 UTC 336948 224033
2010-05-20 00:00 UTC 341827 219154
2011-05-20 00:00 UTC 346016 214965
2012-05-20 00:00 UTC 354917 206064
2013-05-20 00:00 UTC 359500 201481
2014-05-20 00:00 UTC 359592 201389
2015-05-20 00:00 UTC 360076 200905
2016-05-20 00:00 UTC 362262 198719
2017-05-20 01:00 UTC 362269 198712
2018-05-20 00:00 UTC 362510 198471
[/CODE]

petrw1 2018-05-21 00:57

[QUOTE=ATH;488041]Some historical data on 50M-60M:


[CODE] Factored Unfactored
2008-11-20 10:00 UTC 327315 233666
2009-05-20 00:00 UTC 336948 224033
2010-05-20 00:00 UTC 341827 219154
2011-05-20 00:00 UTC 346016 214965
2012-05-20 00:00 UTC 354917 206064
2013-05-20 00:00 UTC 359500 201481
2014-05-20 00:00 UTC 359592 201389
2015-05-20 00:00 UTC 360076 200905
2016-05-20 00:00 UTC 362262 198719
2017-05-20 01:00 UTC 362269 198712
2018-05-20 00:00 UTC 362510 198471
[/CODE][/QUOTE]

Interesting 35,000 in 10 years.

petrw1 2018-05-30 16:33

As of a couple days ago all 100Million ranges have less than 2.2Million unfactored.

[url]http://www.mersenne.ca/status/tf/0/0/1/0[/url]

ixfd64 2018-05-30 19:29

I recently started rerunning P-1 on some really old exponents with only stage 1 done. I'm aware that this won't help us find a new Mersenne prime or even progress towards milestones, but at least I can do several hundred P-1 jobs for the cost of a single LL test at the current wavefront.

petrw1 2018-05-30 22:04

[QUOTE=ixfd64;488652]I recently started rerunning P-1 on some really old exponents with only stage 1 done. I'm aware that this won't help us find a new Mersenne prime or even progress towards milestones, but at least I can do several hundred P-1 jobs for the cost of a single LL test at the current wavefront.[/QUOTE]

Cool.

I'm doing so in the 50M range at least until October.
Then I will move down to 40M.

petrw1 2018-06-04 16:25

5xM progress since September 2017
 
I have now completed 5,000 PM-1 in the 5xM Range since September 2017.
And found 151 Factors for just over a 3% success rate.
There are all redo's of PM-1 that only had a Stage 1 done previously.

I've also found 27 factors with TF in this same range.
Others have found 48 more factors in this same range.

We now have 11 more 5x.x ranges with less than 2,000 un-factored.
29 ranges to go; granted about 10 are not cooperating and may have to be left.

And that is 226 less DC's required.

petrw1 2018-06-15 04:28

June 15 Update
 
4 Ranges cleared: 37.2M, 37.9M, 52.2M, 58.8M (38/497 Cleared since Sept 24, 2017)
491 Exponents Factored (9,251 since Sept 24, 2017)

5 ranges within 5 or less factors to go.
And 8 more with 10 or less factors to go.

petrw1 2018-07-25 05:29

July 24, 2018 ... 1 years since I started tracking
 
Total of 43 ranges cleared (out of a total of 497) = 8.65%
4 more ranges with less than 5 exponents to go.
11 ranges with less than 10 to go.
43 ranges with less than 25 to go.

9,918 exponents of interest factored (out of a total of 55,228) = 17.96%

I understand we are NOT 17.96% done or even 8.65% done because in general the easiest ranges fall first.

BUT....we have made great progress.

GO, TEAM GO!!!!!

(REMINDER: My lofty goal is to get all 0.1Million ranges under 60Million to under 2,000 unfactored. With the deeper factoring for ranges over 60Million I expect virtually all these ranges to be cleared in this way).

petrw1 2018-09-05 05:50

September 5 ... 1 year since I started work on this
 
A very good 6 weeks.

Total of 55 ranges cleared (out of a total of 497) = 11.07%
13 new ranges this month: 2.5, 39.2, 41.2, 42.2, 43.6, 43.7, 43.9, 50.6, 53.3, 54.0, 54.2, 55.4, 55.9

This got the entire 54M range complete.
And the 55M range is REALLY close....just 2 more factors.

3 more ranges with less than 5 exponents to go.
4 ranges with less than 10 to go.
36 ranges with less than 25 to go.

10,761 exponents of interest factored (out of a total of 55,228) = 19.48%

As well the 44Million range is now under 20,000 un-factored.
We have made great progress.

GO, TEAM GO!!!!!

A big thanks to Chris and his GPU72 support; and to everyone else willingly helping out.

……………………… Personally (not to brag because my contribution is small relative to the entire team) ……………..

In 365 days I ran over 20,000 assignments and have found 383 factors; just a little over 1 per day.
91 factors from TF with just slightly better than a 1% success rate.
263 factors from P1 with a 3.15% success rate.
29 factors from ECM with a little less than a 1% success rate (though I often ran 30-60 curves per assignment)

lycorn 2018-09-06 10:03

Looking at it from a slightly different point of vue:

157 [B]0.1M[/B] ranges cleared, out of 600 ([B]26.17%)[/B]

13 [B]1M[/B] ranges cleared, out of 60 ([B]21.67%)[/B]

1 [B]10M[/B] range cleared, out of 6 ([B]16.67%)[/B]

ET_ 2018-09-06 10:35

:tu:

Nice project!


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