20030731, 03:23  #1 
Aug 2002
Termonfeckin, IE
2,753 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. 
20030813, 18:51  #2 
"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. 
20030813, 23:11  #3 
Aug 2002
Termonfeckin, IE
2,753 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] 
20030814, 00:42  #4 
Feb 2003
2×3×29 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 
20030814, 09:54  #5 
Aug 2002
Termonfeckin, IE
2,753 Posts 
And I've got more. http://www.teamprimerib.com/annie/overview030808.gif

20030814, 21:28  #6 
Aug 2002
Termonfeckin, IE
2,753 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. 
20030814, 23:13  #7 
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. 
20030826, 05:15  #8 
Feb 2003
2×3×29 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. :) 
20030826, 18:48  #9 
Aug 2002
Termonfeckin, IE
2,753 Posts 
thanks apocalypse!!

20030901, 20:21  #10 
Aug 2002
Termonfeckin, IE
5301_{8} 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] 
20030902, 00:12  #11 
Aug 2003
Upstate NY, USA
326_{10} 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?

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