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Old 2003-07-31, 03:23   #1
garo
 
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The nofactor.cmp file was just updated and I decided to do a quick stat analysis to see just where we are. I took all the exponents between 25M and 79.3M and tried to see how far they have been factored. And here is the result:

[code:1]
Bits Exponents
57 26644
58 584877
59 338835
60 409474
61 13349
62 9036
63 4116
64 2484
65 3
66 8
67 6
68 6345
69 44
70 3
71 6
72 17
74 1
Tot. 1395248
[/code:1]

PS: I'm working on the 57 bits guys right now so we should have everything above 25M up to atleast 58 bits very soon.
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Old 2003-08-13, 18:51   #2
smh
 
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Henk, Is it possible for you to update your page at:
http://home.planet.nl/~tha/mersenne/index.html

It's been a couple of months since the last update.
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Old 2003-08-13, 23:11   #3
garo
 
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Updated stats. Henk's graphs would be real good tho :)
Dated: 8/8/2003

[code:1]
Bits Exponents
57 26643
58 575524
59 332780
60 420774
61 13400
62 11837
63 4421
64 2764
65 3
66 8
67 6
68 6480
69 44
70 3
71 6
72 17
74 1
Tot 1394711
[/code:1]
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Old 2003-08-14, 00:42   #4
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Garo -

Any chance you could add a total row to your recent post so we can see how many exponents have been cleared by LMH? It would give me a warm, fuzzy feeling, and I'm just not that good at 'rithmetic... :D
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Old 2003-08-14, 09:54   #5
garo
 
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And I've got more. http://www.teamprimerib.com/annie/overview030808.gif
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Old 2003-08-14, 21:28   #6
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One more thing!

Assuming that all the exponents above were factored to 67 bits by LMH we would find an additional 167453 factors. So lots more factors to be found :)
In reality, the total number of factors found will be larger as many of the exponents will be trial factored deeper than 67 bits. And LMH would probably contribute fewer factors as we won't go all the way to 67 in LMH anyway.
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Old 2003-08-14, 23:13   #7
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Garo -

Thanks for the update!

Now for some musings:

The factoring limits set by GIMPS seem to tend strongly toward clearing 5/8 of the potential exponents before a LL test. If this trend holds, we expect to find factors for about 2894320 of the 4630913 prime exponents below 79.3M.

Since we have factored 2644927 Mersenne numbers already if we factor 167453 more via LMH up to 67 bits, that will leave just under 72000 Mersenne numbers to be found composite with additional factoring.

OTOH, thanks to garo, we know that LMH is clearing about 500 exponents a week. At that pace, we could complete factoring to 67 bits in about 6.5 years.

Disclaimer: Wild speculation has been used in the creation of these numbers.
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Old 2003-08-26, 05:15   #8
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[code:1]
Bits Exponents (8/25/03)
57 26643
58 492657
59 352137
60 478204
61 14996
62 12402
63 5226
64 2981
65 3
66 8
67 6
68 6730
69 44
70 3
71 6
72 17
74 1
Tot 1392064
[/code:1]

Since we had a new nofactor.zip published, I thought I'd see how the numbers stacked up and it looks like we're making solid progress, clearing almost 2650 exponents. Also, 73 continues to be the least favorite terminal bit depth. :)
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Old 2003-08-26, 18:48   #9
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thanks apocalypse!!
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Old 2003-09-01, 20:21   #10
garo
 
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Here the update from Sep 1st:

[code:1]
bit depth
57 26643
58 487188
59 323340
60 508148
61 15910
62 14945
63 4744
64 3459
65 3
66 8
67 6
68 6807
69 44
70 4
71 6
72 17
74 1
tot 1391273[/code:1]
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Old 2003-09-02, 00:12   #11
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Are we allowed to set FactorOverride to digits HIGHER than Primenet would assign them to after we kill off some of the ranges, as something to do for fun, and to get a 73 on that list for you?
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