Re: Mersenne: Fwd: Predicting Mersenne Primes

2002-03-26 Thread teun Tilburg University

Hello Brian,

 In the statistical sense, yes, it is possible to predict. That is rather 
 similar to the statistician's argument during the briefing for the first 1000
 bomber raid over Cologne in May 1942 that predicted only two aircraft would
 collide, despite the incredible density of aircraft over the target, at any rate
 compared with modern air traffic control standards! The question asked by the
 crews was, of course, _Which_ two aircraft are going to collide?

I'm convinced you are not aware that we remember the most terrible aircraft to 
aircraft collision ever; tomorrow 25 years ago. Tenerife, KLM 747 spinning up 
while a Pan Am Clipper was on the runway in dense fog.

http://aviation-safety.net/database/1977/770327-1.htm

Since then I've flown 622,253 km but that accident still gives me the shivers.

cheers,

teun
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Mersenne: Client configuration for a Duron?

2002-03-26 Thread Markus Landgren

Hi,

What settings should I use in Prime95 on a 1 GHz Duron? Since there is no
Duron in the options menu I tried Athlon, it seemed like the closest
choice, but the performance I get is not quite as good as I expected
compared to other people's benchmarks (about 25% slower). Should I switch
to another CPU type in the options menu? Or should I use
CpuSupportsPrefetch or something similar in local.ini?

I have tried to find other explanations, but the machine runs no other
CPU-hungry processes and has no built-in video on the motherboard.

By the way, my other machine shows up as Unspecified type in my
individual account report, even though it is correctly set as an Intel P4.
Did I configure the client wrong in any way?


Thanks in advance,
Markus Landgren


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Re: Mersenne: Client configuration for a Duron?

2002-03-26 Thread Brian J. Beesley

On Tuesday 26 March 2002 15:32, Markus Landgren [EMAIL PROTECTED] 
wrote:
 Hi,

 What settings should I use in Prime95 on a 1 GHz Duron? Since there is no
 Duron in the options menu I tried Athlon, it seemed like the closest
 choice, but the performance I get is not quite as good as I expected
 compared to other people's benchmarks (about 25% slower). Should I switch
 to another CPU type in the options menu? Or should I use
 CpuSupportsPrefetch or something similar in local.ini?

Try CPUSupportsPrefetch=1 in local.ini

Also try Prime95 v22 which has much better CPU detection code.

 By the way, my other machine shows up as Unspecified type in my
 individual account report, even though it is correctly set as an Intel P4.
 Did I configure the client wrong in any way?

Probably not. My P4 system appears to be shown in my individual account 
report as an Athlon. I think there may be a problem with the server report 
code.

Regards
Brian Beesley
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SV: Mersenne: Factors aren't just factors

2002-03-26 Thread Torben Schlntz

reaction to another mail about this

This happens all the time in different shapes so I would expect some
happy day we found a crosslinked factor.

we will never find a factor who is a factor of Mx and also of My
simply because every factor give only one count with my algoritm and is
factor
of one or zero mersenne numbers
for example the factor 7 is a factor of 2^3-1 and 2^6-1 and 2^9-1 and
2^12-1 etc..
but only 2^3-1 of a mersenne number
so a factor can never be factor of Mx and My both

 
Yep, you're so truly right. After I used the reverse factoring algorithm
a bit harder it is not difficult to see that when you arrive at 1 (and
started at 1) the same pattern will repeat (after all we are multiplying
by 2 and mod'ing the same value repeatedly from 1).
Some how it is no longer a mystery that 13421 is a factor of any 2k*61
(2684 in this case) as 61 is the highest prime in the factorized values
of 13420 (factors: 2*2*5*11*61). Again: 2*5*11 is only the k.
And also I have found reverse factoring will find it self as a value for
Mprimes, 31 is a factor of M5 and so is 127 a factor of M7, and most
often just it self -1 for very uinteresting values, like 107 divides
M106. :-(
 
On the other hand this insight could make me/us construct interesting
and primetested values beyond the scope of Mprime (eg. max 66 bits for
numbers below 21.600.000)  but in the scope of GIMPS (any prime
apx.72.300.000). At least I got one machine for which mprime has no
relevance as some uncontrolled reboots happens and I would like a sleep
to occur every 10 seconds. Then I can write my own reverse facoring for
this machine - it is on anyway for other purposes. 
 
Happy hunting
tsc
 
 
 
 
 
 
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Mersenne: duplicate messages

2002-03-26 Thread Wayne Tucker

Hey everyone, sorry about taking so long to get around to tracking
down why those duplicate messages are being sent to the list from our
mail server.  So far this is the only list that we are having this
problem with, so I'm not sure what the cause is yet - I'm not sure if
it is a problem with the list server or with our spam filter, but if I
were to guess I'd say it's a little bit of both. ;)

Wayne


-- 
Wayne A. Tucker - [EMAIL PROTECTED]
Network Engineer, Donobi Inc.


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