LMH status

garo · 2003-07-31, 03:23

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.

smh · 2003-08-13, 18:51

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.

garo · 2003-08-13, 23:11

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]

apocalypse · 2003-08-14, 00:42

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

garo · 2003-08-14, 09:54

And I've got more. http://www.teamprimerib.com/annie/overview030808.gif

garo · 2003-08-14, 21:28

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.

apocalypse · 2003-08-14, 23:13

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.

apocalypse · 2003-08-26, 05:15

[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. :)

garo · 2003-08-26, 18:48

thanks apocalypse!!

garo · 2003-09-01, 20:21

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]

tom11784 · 2003-09-02, 00:12

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?

2003-07-31, 03:23	#1
garo Aug 2002 Termonfeckin, IE 5313₈ Posts	LMH status 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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2003-08-13, 18:51	#2
smh "Sander" Oct 2002 52.345322,5.52471 29×41 Posts	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.

2003-08-13, 23:11	#3
garo Aug 2002 Termonfeckin, IE ACB₁₆ Posts	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]

2003-08-14, 00:42	#4
apocalypse Feb 2003 10101110₂ Posts	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

2003-08-14, 09:54	#5
garo Aug 2002 Termonfeckin, IE 3²·307 Posts	And I've got more. http://www.teamprimerib.com/annie/overview030808.gif

2003-08-14, 21:28	#6
garo Aug 2002 Termonfeckin, IE 3²×307 Posts	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.

2003-08-14, 23:13	#7
apocalypse Feb 2003 2·3·29 Posts	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.

2003-08-26, 05:15	#8
apocalypse Feb 2003 10101110₂ Posts	[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. :)

2003-08-26, 18:48	#9
garo Aug 2002 Termonfeckin, IE 5313₈ Posts	thanks apocalypse!!

2003-09-01, 20:21	#10
garo Aug 2002 Termonfeckin, IE 3²×307 Posts	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]

2003-09-02, 00:12	#11
tom11784 Aug 2003 Upstate NY, USA 101000110₂ Posts	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?