Hi all !!

> > I hope they're at least running P166s by now. What's the average machine a
> > GIMPSter runs, assuming that the average machine runs 24 hours a day? I
> > remember it being P181 a while ago, I think.
> 
> This brings up a very interesting question, what is the average speed of a
> machine participating in GIMPS? Does PrimeNet have more data then the CPU type?
> I would assume so. Can we get a breakdown of the average CPU speed of a GIMPS
> producer and track this over time to see if we are keeping up with Moore's law?
> 
> Can the average machine speed be tracked from previous data? Account for the
> growth in the number of participating machines and come up with an average
> machine speed from year to year?
> 
> - -Marc
> 
> 
> So, the important things I'll be working with are:
> Total machines: 23252. P90 CPU Years/day, 7 day average: 62.058.
> 
> However, years/day is an awkward unit to work with, so I'll convert it to P90 
> days/day (i.e. how many P90s we'd need running at full tilt [constantly on] 
[snip]

> for anything and is left constantly on for 24 hours a day with a P87.74 
> processor. (Obviously by the machine tabulation above, the average GIMPSter 
> runs a significantly faster computer, but doesn't leave it on for 24 hours a 
> day). Eh? This is different than the old figure I remember. However, I 
> calculated that BEFORE I knew how many computers GIMPS had. So, I'll redo the 
> calculation based on accounts.
> 14033 (accounts) * P_MegaHerta = 2,039,958 P1.
> Solving here, we see that the average account is equivalent to a single 
> machine running at full tilt with a P145.37 processor. That's more like it.
> 
> If I've had a major brain drain in my calculations, feel free to correct my 
> error on the list.
> 
> S. "I want 2 million P1 processors!" L.
> _________________________________________________________________
> 

I take a snap-shot of the PrimeNet TopProducers Awards time to time. 
(The last reported in my page was in July). I take such "shot" today

Date/hour: 06 Aug 1999 11:04

Number of accounts: 12689
max value:  11661.340 (485.889)
mean value:     39.362 ( 1.640)
upper half mean value:     75.406 ( 3.142)
median: 11.650

Of course, only the PrimeNet accounts are taken into account.
Values in the parenthesis are expressed in P90 days per day units.
So an average machine is 1.64*90=147.60 MHz (Pentium). If we 
assume that some accounts are nonactive than this average is a bit
larger. E.g. the upper half of accounts give the average 
3.142*90=282,78 MHz. The "real" value is somewhere in between.
When George will update his top producers list (I think it'll
happen on 8 or 9 Aug) I'll try to calculate average from his
data. Note that TempleU-CAS (and some other teams) should be 
expressed in P90 years per day. Now it is about 485.889/365.25 
approx 1.33 (!) or, in the other words, their set of machines works
as one Pentium with 4.37 GHz CPU.

A median - an account which occupies  6345 position - gives
about Pentium 44MHz. 

Of course, all calculations assume 24 hours per day. I do not know
the mean value of hours per day but it can be about 18-20. Therefore
all results should be multiplied by a factor 24/20=1.2 through 
24/18=1.33 what leads to a mean value 177-196 MHz (say 166-200 MHz,
Pentium of course). 

Regards

Wojciech Florek (WF)
(Today at 489! I'm in the first 500! Wow!)

Adam Mickiewicz University, Institute of Physics
ul. Umultowska 85, 61-614 Poznan, Poland

phone: (++48-61) 8273033 fax: (++48-61) 8257758
email: [EMAIL PROTECTED] 
www:   http://main.amu.edu.pl/~florek


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