20040518, 10:07  #67 
Dec 2003
Hopefully Near M48
2·3·293 Posts 
When I look at a graph, the ratio between successive Mersenne prime exponents doesn't seem to be closing in on a limiting value, at least not for the first 38 exponents.

20040518, 10:21  #68 
17·19·29 Posts 
Huh ? Wha?
Did you see the link I gave ya. That's dead on the money. Well as far as prime numbers are concerned anyway. Do you mean closing in on a rational limiting value? ie, 3/2 Or irrational limiting value? ie, 1.47576 Well if you meant rational, then ofcourse not. If you mean irrational, then I suggest you are. (In a nice manner) Last fiddled with by TTn on 20040518 at 10:23 
20040518, 12:01  #69 
Dec 2003
Hopefully Near M48
2·3·293 Posts 
Here is the graph I made using Microsoft Excel. The first point is (1, 3/2), the second is (2, 5/3) all the way up to (37, 6972593/3021377). As can be seen, the points don't seem to be closing in on a limiting value towards the rightend of the graph.

20040518, 12:16  #70 
Sep 2002
E_{16} Posts 
Verification of M41
Hi all,
what about the verification of (probably) M41? Is it already on its way? Regards Achim 
20040518, 13:00  #71  
2^{3}·1,151 Posts 
Quote:
If you take the average of all, it comes out to be about 1.99. But take the average of the first 8, or the first 11 Mp, = 1.47... , You are right about this though, there is not enough data to do accumulative averages acurately. Edit: I ran the averages, and it tends to get smoother as n gets large, but when it's rough it really rough. This is due to prime number divergence. Last fiddled with by TTn on 20040518 at 13:09 

20040518, 13:20  #72  
"Mike"
Aug 2002
2×5×11×71 Posts 
Quote:


20040518, 18:04  #73 
P90 years forever!
Aug 2002
Yeehaw, FL
7,159 Posts 
Xyzzy started a P4 verification soon after the prime was found and has completed 5 million iterations.
Ernst started a run using mlucas on a singlecpu system on Sunday. He estimates 3 1/2 weeks to complete the run. He is at 1 million iterations. Jeff in Canada started a Glucas run Monday on an 8way Alpha box. He too is at 1 million iterations and matches Ernst's interim residue. If CPU loads stay low Jeff could finish in just over two weeks. Tony in France also started a Glucas run Monday but ran into some threading problems. His multiCPU Sun box hasn't reached 1 million iterations yet. However, he going to try and switch to a 16CPU Itanium machine. No estimates on a possible completion date. Mike, Ernst, and I will post progress as it comes in. Keep your fingers crossed! 
20040518, 18:21  #74 
Jun 2003
Ottawa, Canada
7×167 Posts 
Its actually a 16way Alpha box but its shared amongs researchers so I think they are limiting the number of CPUs you can run. I'm actually just using 4 CPUs (that seems to be the max) with GLUCAS but getting pretty good speed.
Lets just hope the queue software is smart enough not to overload the system (ideally it should only let enough processes/threads run for the # of CPUs the box has) so lets hope the load doesn't go up. Jeff "in Canada" Gilchrist Last fiddled with by Jeff Gilchrist on 20040518 at 18:24 
20040518, 19:24  #75  
Sep 2003
Borg HQ, Delta Quadrant
2×3^{3}×13 Posts 
Quote:
Code:
21169397 0x746B874910048A__ curtisc grn1611 22776563 0xCF3C3B04BD5A10__ curtisc wde3100028 24036583 0x7EC80125B6DB7E__ jfindley M3 23393483 0xD9BFF123AAE613__ mesirow DellH 

20040518, 23:44  #76 
"Mike"
Aug 2002
17202_{8} Posts 
6,000,000...

20040519, 00:05  #77  
Dec 2003
Hopefully Near M48
3336_{8} Posts 
Quote:


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