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

 petrw1 2018-01-15 00:29

UPDATE - January 14, 2018

1,547 !!! more exponents factored in the ranges of interest...0 - 59.9M GREAT PROGRESS
(In ranges where there are still more than 1,999 unfactored.

4 more ranges cleared (now below 2,000): 45.0M, 48.1M, 51.3M, and 59.9M

11 ranges within 5 or less to go.

Good news (HAHA): There will be no February update (Vacation)

 petrw1 2018-03-06 02:29

6 months

And I've found 200 factors for this little subproject so far.

 VictordeHolland 2018-03-06 14:54

You got some work to do

There remain 21,535,921 unfactored exponents below 1G, so even if GIMPS keeps up with the current pace of ~160,000 new factors per year, you're looking at another 10 years to get that number below 20,000,000 :unsure:.

I haven't even factored in that is gets increasingly harder to find factors...

 ET_ 2018-03-06 16:01

I am doing some heavy ECM on a few candidates between M100000 and M220000 chosen from [url]https://www.mersenne.org/report_ecm/[/url] but I don't want to step over someone else's work...

 petrw1 2018-03-06 18:46

[QUOTE=VictordeHolland;481690]There remain 21,535,921 unfactored exponents below 1G, so even if GIMPS keeps up with the current pace of ~160,000 new factors per year, you're looking at another 10 years to get that number below 20,000,000 :unsure:.

I haven't even factored in that is gets increasingly harder to find factors...[/QUOTE]

Agreed. But Moore's law is our friend.

I'm focused on exponents under 60M. Those higher (with a few exceptions) will happen naturally with the given TF limits.
We need about 40,000. Last year over 10,000 were found.
Granted this range even more so will take progressively longer but likely much less than 10 years.

 lycorn 2018-03-06 22:59

Since the 1st of February 2013 we have found nearly 1,400,000 new factors. I am pretty confident it will take no longer than 6-7 years to get to under 20M unfactored.

 petrw1 2018-03-17 04:13

2 Months later and great progress - March 16,2018

2,759 !!! more exponents factored in the ranges of interest...0 - 59.9M
GREAT PROGRESS (In ranges where there are still more than 1,999 unfactored.

13 more ranges cleared (now below 2,000):
2.0M
35.6M
40.9M
42.5M
44.8M
45.6M
45.7M
46.2M
46.8M
51.7M (51.xM is now complete)
55.0M
56.0M
57.8M

6 ranges within 5 or less to go.

 petrw1 2018-04-16 05:14

April 15 Update

3 Ranges cleared: 44.1M, 54.6M, 57.7M
910 Exponents Factored

5 ranges within 5 or less factors to go.
And 6 more with 10 or less factors to go.

 petrw1 2018-05-15 21:24

May 15 Update

3 Ranges cleared: 44.0M, 44.2M, 57.4M (34/497 Cleared since Sept 24, 2017)
601 Exponents Factored (8,770 since Sept 24, 2017)

6 ranges within 5 or less factors to go.
And 6 more with 10 or less factors to go.

 petrw1 2018-05-20 03:22

50M Range Update

This has been my current focus though others have certainly helped in this range too.

As of today all 10 5xM Ranges have under 20,000 un-factored.

69 5x.x Ranges have under 2,000 un-factored.

Of the 31 remaining ranges I hope to get 20 of them under 2,000 over time.

The last 10 ranges, which for some reason have more than expected un-factored, may have to remain. :(

 petrw1 2018-05-20 05:25

[QUOTE=petrw1;488036]Of the 31 remaining ranges I hope to get 20 of them under 2,000 over time.

The last 10 ranges, which for some reason have more than expected un-factored, may have to remain. :([/QUOTE]

I am doing fine getting the P-1 done; if anyone wants to participate the TF to higher bits is lagging; I am behind getting my new GPU thanks to BITCOIN!!!

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