Re: Mersenne: New Goal?

1999-09-01 Thread Jeff Woods

At 09:27 AM 9/1/99 -0400, you wrote:

It is very likely that we will succed to reach the Y2K goal. Maybe it is
time now to set a new one? I stick with the suggestion I made a few months
ago: 10 000 000 before the new millenium?

What do you think?

I think we'll now endlessly debate whether the millennium begins at 
12:00:01 on January 1st, 2000, or one year later than that.  ;-)

With roughly 71 CPU years a day, and linear growth to about 101 CPU years a 
day in 16 months (a SWAG), that's an average of 86 years per day, or 486.6 
days.That's 41,800 CPU years between now and the first day of 2001.

With only 14,944 years to go to clear those exponents less than 10.3MM, I'd 
say you stand a fair chance of succeeding, even though the inevitable last 
minute stragglers will take much longer than expected.   (No, not the 
poaching thread again!).   We stand a fair shake at getting those less than 
11MM cleared.

Now, if you thought that the Millennium begins on the first day of 2,000, 
well, then we'll only get about 8750 CPU years done between now and then, 
and will not likely have cleared all of those exponents.

Have I re-opened enough old wounds (poaching, when is the millennium), or 
should I talk about overclocking and Island theory now?  ;-)
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Re: Mersenne: Several illegal sumout

1999-09-01 Thread George Woltman

Hi,

At 05:17 PM 9/1/99 +0200, Dennis Jørgensen wrote:
But in the test I'm running now I've had 4 of these errors
(exponent just over 8 million). This seems a bit too much to me, am I
right?

Your result is likely OK.  Prime95 recovers well from this error and
it not usually an indicator that undetected errors are corrupting the 
results.  The readme.txt file gives some ideas as to what the causes
might be.

I've noticed that they happen as the computer starts.

This is new.  The usual cause is a device driver playing a MIDI file.
Probably a driver did not save the CPU state properly while initializing.

With the 2 last errors I've also noticed that the tray icon appears
later when the errors happen,

Not unexpected. Prime95 sleeps for 5 minutes after a SUMOUT error.

Celeron-400 gets 0.314 sec/interation on the exponent I'm running now,

Seems right.  Compare it to the PII-400 timings on
http://www.mersenne.org/status.htm  Remember that the timings on
that page are for version 19 which is up to 10% faster than version 18.

Regards,
George

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Re: Mersenne: Several illegal sumout

1999-09-01 Thread Johan Winge

At 17:17 1999-09-01 +0200, Dennis Jørgensen wrote:

My problem is that in the first 2 tests I've had one illegal sumout
error in each (both exponents were around 7.6-7.7 million). As the
readme text said this probably didn't mean anything I didn't do anything
about it. But in the test I'm running now I've had 4 of these errors
(exponent just over 8 million). This seems a bit too much to me, am I
right?

I don't think you should worry. It often happens, that after my younger
brother have played some games on my (family's) fastest machine (a PII-233)
I can immediately tell he have done so, because when I connect to Internet
Prime95 reports a bunch of "illegal sumout", around 20 at the extreme,
though usually only one or two. I hate when it happens, but as far as I
know it haven't done any harm to my results.
By the way, is anyone interested in a copy of p6972593 at the 690th
iteration? I wasted a whole month during the summer to check it, and yes,
it turned out to be prime, regardless of all the "illegal sumout"s the
occured during the process!

Regards,
Johan Winge

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Mersenne: too hot? too cold? perfect?

1999-09-01 Thread Spike Jones

With every Mersenne number there is an associated perfect
number, the sum of whose factors exactly equal the number.
I discovered a fascinating thing today, for which I must introduce
some new terminology.

If a number is greater than the sum of its factors, let it be a cold number.
If a number is less than the sum of its factors, let it be a hot number.

Odd numbers are all cold, for instance, and the first hot number is 12.
Nowthen, I found that the ratio of cold numbers to hot numbers is
always about 3.  Even when you get up to large numbers [I checked
them all up to about 100,000] the ratio seems to stay right around
3 colds to every hot.

Is there an embarrassingly trivial reason for this?  Is there
established terminology for hot and cold numbers?  spike

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