Mersenne Digest          Friday, May 19 2000          Volume 01 : Number 737




----------------------------------------------------------------------

Date: Wed, 17 May 2000 11:30:40 +0200 (MET DST)
From: "Benny.VanHoudt" <[EMAIL PROTECTED]>
Subject: Re: Mersenne: error

> On 17 May 00, at 9:57, Benny.VanHoudt wrote:
> 
> > I've been using prime95 since sept. 1998 and never had any problems.
> > Until yesterday I was testing an exponent in the 9.5 - 10 million
> > range, but suddenly an error appeared while contacting the Primenet
> > server (the exponent was almost finished +98%).
> > 
> > I got the commen windows 95 error message: This program has performed
> > an illegal operation and will be shut down.
> 
> Are you using HTTP or RPC to communicate with the PrimeNet server? If 
> you're using RPC, try changing to HTTP. If you have a local proxy 
> configured, make sure it's still operational.
> 
> The other thing you could try is restoring the two .dll files which 
> should be in the Prime95 directory; download a fresh copy of 
> prime95.zip (from my server 
> ftp://lettuce.edsc.ulst.ac.uk/gimps/software/prime95.zip
> if entropia.com is still being uncooperative) & extract them. Or 
> simply restore the files from a backup.

That's what I did and the previous problem disappeared. The
result is that prime95 is working again but was unable to
use the files with the intermediate results. As a result it's
starting all over again. It took my PC more than two months
to get to the current point, and the exponent would have expired
on the 19th of may.

Any suggestions ?
Benny

> 
> Regards
> Brian Beesley

- -------------------------------------------------------------------
Benny Van Houdt,
University of Antwerp
Dept. Math. and Computer Science
PATS - Performance Analysis of Telecommunication 
       Systems Research Group
Universiteitsplein, 1
B-2610 Antwerp
Belgium
email: [EMAIL PROTECTED]    
- --------------------------------------------------------------------

_________________________________________________________________
Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm
Mersenne Prime FAQ      -- http://www.tasam.com/~lrwiman/FAQ-mers

------------------------------

Date: Wed, 17 May 2000 11:10:40 -0000
From: "Brian J. Beesley" <[EMAIL PROTECTED]>
Subject: Re: Mersenne: error

On 17 May 00, at 11:30, Benny.VanHoudt wrote:
> 
> That's what I did and the previous problem disappeared. The
> result is that prime95 is working again but was unable to
> use the files with the intermediate results. As a result it's
> starting all over again. It took my PC more than two months
> to get to the current point, and the exponent would have expired
> on the 19th of may.

Dou you still have the old savefiles and the worktodo.ini file? If 
they are in the same directory as Prime95 then it should just 
continue from wherever it was at when the last savefile was written.

You could try renaming the Pnnnnnnn file to something else, then 
renaming Qnnnnnnn to Pnnnnnnn, this will fix any problem due to the 
Pnnnnnnn file being corrupt. (Where nnnnnnn is the exponent)

If you're still out of luck, but have the files you think are 
neccessary, get back to me & I'll take a look at them for you.


Regards
Brian Beesley
_________________________________________________________________
Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm
Mersenne Prime FAQ      -- http://www.tasam.com/~lrwiman/FAQ-mers

------------------------------

Date: Wed, 17 May 2000 13:40:22 +0200
From: [EMAIL PROTECTED]
Subject: Mersenne: Prime95 and boot

At 02:32 PM 5/10/00 +0200, Yann Forget wrote:
>The new version of Prime95 pop up
>every time Windows is restarted.
>So the users of my network don't
>like it any more. :-(
>Is that could be changed ?

I have the same behavior with version 19.1.
It seems that it appears when prime95 is set to run as a 
Windows 95/98 Service AND when there's no more work to do (yellow color).

Didier.

Didier BOIVIN

GAMBRO - Hospal Industrie
MEYZIEU  FRANCE
tél : +33 4 72 45 25 07
fax : +33 4 72 45 25 19
e-mail : [EMAIL PROTECTED]


** Disclaimer from Gambro Corporation **
Privileged/confidential information may be contained in this message. If you
are not the addressee indicated in this message (or responsible for the
delivery of the message to such person), you may not copy or deliver this
message to anyone. In such case, you should destroy this message and kindly
notify the sender by reply e-mail. Please advise immediately if you or your
employer does not consent to Internet e-mail for messages of this kind.
Opinions, conclusions and other information in this message that pertain to
the sender's employer and its products and services represent the opinion of
the sender and do not necessarily represent or reflect the views and
opinions of the employer.

** End of disclaimer **


_________________________________________________________________
Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm
Mersenne Prime FAQ      -- http://www.tasam.com/~lrwiman/FAQ-mers

------------------------------

Date: Wed, 17 May 2000 19:47:38 +0200
From: Henk Stokhorst <[EMAIL PROTECTED]>
Subject: Mersenne: time needed for factoring

L.S.,

Just curious, what makes factoring 13.388.659 take four times as long as
13.375.793?

YotN,

Henk Stokhorst

_________________________________________________________________
Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm
Mersenne Prime FAQ      -- http://www.tasam.com/~lrwiman/FAQ-mers

------------------------------

Date: Wed, 17 May 2000 12:55:04 -0700
From: Eric Hahn <[EMAIL PROTECTED]>
Subject: Re: Mersenne: time needed for factoring

Henk Stokhorst wrote:
>L.S.,
>
>Just curious, what makes factoring 13.388.659 take four times as
>long as 13.375.793?

It's because 13,388,659 is past the cutoff of 13,380,000 where
Prime95 starts factoring to the depth of 2^65 instead of 2^64.
Normally, increasing the depth by a factor of one only doubles
the time required.  However, because of the nature of chip architecture, it
takes a longer period of time than normal
above 2^62 and again above 2^64 to do the necessary 
calculations (more instructions and such).

Eric


_________________________________________________________________
Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm
Mersenne Prime FAQ      -- http://www.tasam.com/~lrwiman/FAQ-mers

------------------------------

Date: Wed, 17 May 2000 15:57:01 EDT
From: "Nathan Russell" <[EMAIL PROTECTED]>
Subject: Re: Mersenne: time needed for factoring

>From: Henk Stokhorst <[EMAIL PROTECTED]>
>To: [EMAIL PROTECTED]
>Subject: Mersenne: time needed for factoring
>Date: Wed, 17 May 2000 19:47:38 +0200
>
>L.S.,
>
>Just curious, what makes factoring 13.388.659 take four times as long as
>13.375.793?
>
>YotN,
>
>Henk Stokhorst

Hmm...  Maybe this should be a FAQ question.  I sincerely doubt you'll be 
the last one to ask it in the next month or two.

Exponents beyond 13,380,000 are trial-factored to 65 bits rather than 64 
bits.  This means that the program needs to check (almost) twice as many 
factors; additionally, sieving each of the potential factors takes longer 
for hardware-related reasons that appear in the list archives a week or two 
back, IIRC.

Regards
Nathan Russell
________________________________________________________________________
Get Your Private, Free E-mail from MSN Hotmail at http://www.hotmail.com

_________________________________________________________________
Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm
Mersenne Prime FAQ      -- http://www.tasam.com/~lrwiman/FAQ-mers

------------------------------

Date: Wed, 17 May 2000 16:57:14 -0400
From: Bruce A Metcalf <[EMAIL PROTECTED]>
Subject: Re: Mersenne: error

At 09:57 AM 5/17/00 +0200, Benny.VanHoudt wrote:

>I've been using prime95 since sept. 1998 and never had any problems.
>Until yesterday I was testing an exponent in the 9.5 - 10 million
>range, but suddenly an error appeared while contacting the Primenet
>server (the exponent was almost finished +98%).
>
>I got the commen windows 95 error message: This program has performed
>an illegal operation and will be shut down.

I had a similar incident this past week running Prime95 version 20.4.1
under Windoze95 testing in the 4.7M range.  Since it *is* a Windoze
machine, I first tried just rebooting, only to get the same failure
immediately upon Prime95 starting.

I then reinstalled Prime95 from the download zip file and have been running
fine since.  No corruption of the data files were observed, and no
reptition of the crash has yet occurred.

I wasn't going to offer it as a bug report until it happened again, but it
looks like I'm not alone.

If there is any data I could collect on the occasion of another crash that
could help analysis of the bug, please let me know and I'll try to secure
and report same.

Bruce A. Metcalf
mailto:[EMAIL PROTECTED]
http://myweb.magicnet.net/bmetcalf

_________________________________________________________________
Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm
Mersenne Prime FAQ      -- http://www.tasam.com/~lrwiman/FAQ-mers

------------------------------

Date: Wed, 17 May 2000 22:19:49 +0100
From: "Peter Owen" <[EMAIL PROTECTED]>
Subject: Mersenne: Primenet Error 2250

Is there a problem with the PrimeNet Server?  I keep getting the following
message when prime95 tries to contact the server.

Contacting PrimeNet Server.
ERROR 2250: Server unavailable
The FAQ at http://www.entropia.com/ips/faq.html may have  more information.

The FAQ says that this is caused by using the RPC protocol in certain
circumstances - but I am using the HTTP protocol!

Peter

_________________________________
Peter Owen
11 The Downs
Blundellsands Road West
Liverpool   L23 6XS
UK

mailto:[EMAIL PROTECTED]



_________________________________________________________________
Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm
Mersenne Prime FAQ      -- http://www.tasam.com/~lrwiman/FAQ-mers

------------------------------

Date: Wed, 17 May 2000 15:37:15 -0600
From: "Aaron Blosser" <[EMAIL PROTECTED]>
Subject: RE: Mersenne: time needed for factoring

>Henk Stokhorst wrote:
>>L.S.,
>>
>>Just curious, what makes factoring 13.388.659 take four times as
>>long as 13.375.793?
>
>It's because 13,388,659 is past the cutoff of 13,380,000 where
>Prime95 starts factoring to the depth of 2^65 instead of 2^64.
>Normally, increasing the depth by a factor of one only doubles
>the time required.  However, because of the nature of chip architecture, it
>takes a longer period of time than normal
>above 2^62 and again above 2^64 to do the necessary
>calculations (more instructions and such).

Now, I may be totally off base here, but...

The reason is because the integer part of the Intel CPU is 64 bit...okay, so
Prime95 does some additional steps to provide greater bit depth factoring...

Now, if that's really the case, would it be of any advantage to have the FPU
handle factoring?  I know that some processors only do factoring because
they have a slow FPU to begin with (like Cyrix and AMD K6 chips), but would
a Pentium be able to use it's FPU to do trial-factoring to greater bit
depths any faster than the software based solution George uses beyond 64
bits?

Just curious...

Better yet, do any of the wacky  SIMD/MMX/3DNow instructions provide any
possible benefits for trial factoring?  I recall a discussion before about
how those instructions wouldn't be too useful for LL testing because of they
only handle double-word sized data (32 bits), but for trial-factoring...any
uses?

Aaron

_________________________________________________________________
Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm
Mersenne Prime FAQ      -- http://www.tasam.com/~lrwiman/FAQ-mers

------------------------------

Date: Wed, 17 May 2000 17:20:26 -0700
From: Stefan Struiker <[EMAIL PROTECTED]>
Subject: Mersenne: OT But Of Interest: [Info-IA64] Latest Update]

This is a multi-part message in MIME format.
- --------------E3856447CD619503209DCA52
Content-Type: text/plain; charset=us-ascii
Content-Transfer-Encoding: 7bit



- --------------E3856447CD619503209DCA52
Content-Type: message/rfc822
Content-Transfer-Encoding: 7bit
Content-Disposition: inline

Received: from panoramix.valinux.com (panoramix.valinux.com [198.186.202.147])
        by emu.prod.itd.earthlink.net (8.9.3/8.9.3) with ESMTP id RAA16006;
        Wed, 17 May 2000 17:08:25 -0700 (PDT)
Received: from localhost ([127.0.0.1] helo=panoramix.valinux.com)
        by panoramix.valinux.com with esmtp (Exim 3.03 #1 (Debian))
        id 12sDlG-0007n8-00; Wed, 17 May 2000 17:01:58 -0700
Received: from nat-su-33.valinux.com ([198.186.202.33] helo=mail.valinux.com)
        by panoramix.valinux.com with esmtp (Exim 3.03 #1 (Debian))
        id 12sDUd-0007jy-00
        for <[EMAIL PROTECTED]>; Wed, 17 May 2000 16:44:47 -0700
Received: from esindelar-laptop.su.valinux.com ([10.1.2.106] helo=valinux.com)
        by mail.valinux.com with esmtp (Exim 2.12 #6)
        id 12sDUd-00068q-00
        for [EMAIL PROTECTED]; Wed, 17 May 2000 16:44:47 -0700
Message-ID: <[EMAIL PROTECTED]>
Date: Wed, 17 May 2000 16:47:10 -0700
From: Eric Sindelar <[EMAIL PROTECTED]>
Organization: VA Linux Systems
X-Mailer: Mozilla 4.61 [en] (X11; I; Linux 2.2.13 i686)
X-Accept-Language: en
MIME-Version: 1.0
To: [EMAIL PROTECTED]
Content-Type: text/plain; charset=us-ascii
Content-Transfer-Encoding: 7bit
Subject: [Info-IA64] Latest Update
Sender: [EMAIL PROTECTED]
Errors-To: [EMAIL PROTECTED]
X-Mailman-Version: 1.1
Precedence: bulk
List-Id: News, press releases, and announcements for the Trillian Linux/IA64 project 
(read only, no posts) <info-ia64.lists.linuxia64.org>
X-BeenThere: [EMAIL PROTECTED]
X-Mozilla-Status2: 00000000

In case you haven't already heard....

On Monday 5/15, SGI released their IA-64 Linux compiler to the open
source community.

In addition, today, Red Hat released their first IA-64 Linux
distribution to developers.

Go to http://www.ia64linux.org to get the links to these releases!

- - The IA-64 Linux Webmaster



_______________________________________________
Info-IA64 maillist  -  [EMAIL PROTECTED]
http://lists.linuxia64.org/lists/listinfo/info-ia64


- --------------E3856447CD619503209DCA52--

_________________________________________________________________
Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm
Mersenne Prime FAQ      -- http://www.tasam.com/~lrwiman/FAQ-mers

------------------------------

Date: Wed, 17 May 2000 21:07:37 EDT
From: [EMAIL PROTECTED]
Subject: Mersenne: Where's the script?

A while ago we were discussing about a Java / JavaScript thing to put on the 
Mersenne page.  I'm wondering if it's up yet, and if so, where it is.  Also, 
I'm wondering if anyone can tell me how many digit's a certain exponent has.  
Thanks!

Mark
_________________________________________________________________
Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm
Mersenne Prime FAQ      -- http://www.tasam.com/~lrwiman/FAQ-mers

------------------------------

Date: Wed, 17 May 2000 19:24:17 -0700
From: Eric Hahn <[EMAIL PROTECTED]>
Subject: RE: Mersenne: time needed for factoring

Aaron Blosser wrote:
>>Henk Stokhorst wrote:
>>>L.S.,
>>>
>>>Just curious, what makes factoring 13.388.659 take four times as
>>>long as 13.375.793?
>>
>>It's because 13,388,659 is past the cutoff of 13,380,000 where
>>Prime95 starts factoring to the depth of 2^65 instead of 2^64.
>>Normally, increasing the depth by a factor of one only doubles
>>the time required.  However, because of the nature of chip
>>architecture, it
>>takes a longer period of time than normal
>>above 2^62 and again above 2^64 to do the necessary
>>calculations (more instructions and such).
>
>Now, I may be totally off base here, but...
>
>The reason is because the integer part of the Intel CPU is 64
>bit...okay, so Prime95 does some additional steps to provide
>greater bit depth factoring...
>
>Now, if that's really the case, would it be of any advantage
>to have the FPU handle factoring?  I know that some processors
>only do factoring because they have a slow FPU to begin with
>(like Cyrix and AMD K6 chips), but would a Pentium be able to
>use it's FPU to do trial-factoring to greater bit depths any
>faster than the software based solution George uses beyond 64
>bits?

Actually, George uses the FPU for trial-factoring.  The problem
is that even the FPU is only 80 bits (IEEE standard).  Factors
up to 2^64 can get the results in one stage (64-bits), however
you have to take extra steps to get any additional bits above
that up to 2^76 where Prime95's limit is (64-bits + 12-bits)
This means it takes one stage to get the first 64 bits of a
result and another stage to get the remaining bits....

>Better yet, do any of the wacky  SIMD/MMX/3DNow instructions
>provide any possible benefits for trial factoring?  I recall a
>discussion before about how those instructions wouldn't be too
>useful for LL testing because of they only handle double-word
>sized data (32 bits), but for trial-factoring...any uses?

Personally, I doubt it would benefit any, but I could be wrong...

Eric 


_________________________________________________________________
Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm
Mersenne Prime FAQ      -- http://www.tasam.com/~lrwiman/FAQ-mers

------------------------------

Date: Wed, 17 May 2000 19:24:10 -0700
From: Eric Hahn <[EMAIL PROTECTED]>
Subject: Re: Mersenne: Where's the script?

Mark wrote:
>A while ago we were discussing about a Java / JavaScript thing
>to put on the Mersenne page.  I'm wondering if it's up yet, and
>if so, where it is.

Yes, it is up.  George modified a javascript module I wrote and
put it into the benchmark page at the following address:
http://www.mersenne.org/bench.htm
It calculates the *estimated* time to perform a L-L test based
on CPU Type/Speed/Hours and the exponent...

>Also, I'm wondering if anyone can tell me
>how many digit's a certain exponent has.   
>Thanks!

Divide the exponent by 3.32192809488 and round DOWN to the
nearest whole integer to get the number of digits...

Eric


_________________________________________________________________
Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm
Mersenne Prime FAQ      -- http://www.tasam.com/~lrwiman/FAQ-mers

------------------------------

Date: Wed, 17 May 2000 21:27:06 -0500
From: "Levi Broderick" <[EMAIL PROTECTED]>
Subject: Re: Mersenne: Where's the script?

> I'm wondering if anyone can tell me how many digit's a certain exponent
has.

Assuming the exponents are in the form 2^x, we can use logs.  (Everybody
remember the log song from the Ren & Stimpy show?)

The exponent 2^x must be converted to 10^y, and y will be the number of
digits in the decimal representation of the number.  To convert x to y,
multiply x by log 2, or divide by 3.32192.

Take for example, 15000.  You'll end up getting 2^15000 = 10^(15000/3.32192)
= 10^4515.4609.  Thus, the number has 4,515 (chop off the decimal) digits.

~ Levi

_________________________________________________________________
Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm
Mersenne Prime FAQ      -- http://www.tasam.com/~lrwiman/FAQ-mers

------------------------------

Date: Thu, 18 May 2000 03:27:43 EDT
From: [EMAIL PROTECTED]
Subject: Re: Mersenne: Where's the script?

D you think we can add this to the script? a little thing saying exponent, 
has x digits.  All you have to do ( according to everyone) is multiply the 
exponent by log 2, and round up.  It seems like a good idea to me.  Anyone 
else?
_________________________________________________________________
Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm
Mersenne Prime FAQ      -- http://www.tasam.com/~lrwiman/FAQ-mers

------------------------------

Date: Thu, 18 May 2000 07:41:20 -0000
From: "Brian J. Beesley" <[EMAIL PROTECTED]>
Subject: Re: Mersenne: error

On 17 May 00, at 16:57, Bruce A Metcalf wrote:

> I had a similar incident this past week running Prime95 version 20.4.1
> under Windoze95 testing in the 4.7M range.  Since it *is* a Windoze
> machine, I first tried just rebooting, only to get the same failure
> immediately upon Prime95 starting.
> 
> I then reinstalled Prime95 from the download zip file and have been running
> fine since.  No corruption of the data files were observed, and no
> reptition of the crash has yet occurred.

If there's a sudden burst of these incidents, maybe something 
external is to blame. Maybe a virus infecting Prime95 or one of the 
DLLs it uses; could also be something hitting the comms routines in 
Windows. It's perhaps not coincidental that the PrimeNet server seems 
to have been having problems recently.

Benny says (private communication) that the refreshed program found 
both his savefiles corrupt, so he's had to restart :(

Perhaps this is a good time to suggest:

(a) running a periodic backup job including the files in your Prime95 
directory, so that you have something fairly recent to fall back on 
in the event of disaster;

(b) adding a line "InterimFiles=1000000" to prime.ini, then exit & 
restart Prime95/NTPrime. With v19.2 and v20.x, this will cause an 
extra save file to be written every 1000000 iterations, this extra 
save file will be kept indefinitely & is therefore useful as a 
fallback. Also valuable if you run into hardware reliability problems 
e.g. a failed cooling fan. 

Note 1, you can change the value 1000000 if you wish.
Note 2, to get rid of surplus save files you have to delete them 
manually.
> 
> If there is any data I could collect on the occasion of another crash that
> could help analysis of the bug, please let me know and I'll try to secure
> and report same.
> 
At least write down everything in the error box. Don't rely 
exclusively on e.g. screen capture software, which may not function 
correctly on a system which is in some sort of distress.


Regards
Brian Beesley
_________________________________________________________________
Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm
Mersenne Prime FAQ      -- http://www.tasam.com/~lrwiman/FAQ-mers

------------------------------

Date: Thu, 18 May 2000 04:57:56 -0700
From: Stefan Struiker <[EMAIL PROTECTED]>
Subject: Mersenne: Benchmarks For "Factoring Only"

TeamM:

Benchmarx for L-L testing now are legion (love that Athlon 700 overclocked to 1000! ).

But how do the machines stack up in straight-shot factoring?  Can we draw any
reliable conclusions from the published L-L numbers?

O Server Speak To Me Again Tomorrow...

Best Regards,
Stefanovic

_________________________________________________________________
Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm
Mersenne Prime FAQ      -- http://www.tasam.com/~lrwiman/FAQ-mers

------------------------------

Date: Thu, 18 May 2000 14:16:35 -0700
From: Russel Brooks <[EMAIL PROTECTED]>
Subject: Re: Mersenne: Primenet Error 2250

I saw it too a couple of days ago but it was gone when I tried again a
couple of hours later.

cheers... Russ

Peter Owen wrote:
> Is there a problem with the PrimeNet Server?  I keep getting the following
> message when prime95 tries to contact the server.
>
> Contacting PrimeNet Server.
> ERROR 2250: Server unavailable
> The FAQ at http://www.entropia.com/ips/faq.html may have  more information.
>
> The FAQ says that this is caused by using the RPC protocol in certain
> circumstances - but I am using the HTTP protocol!

_________________________________________________________________
Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm
Mersenne Prime FAQ      -- http://www.tasam.com/~lrwiman/FAQ-mers

------------------------------

Date: Thu, 18 May 2000 17:50:23 -0400
From: "St. Dee" <[EMAIL PROTECTED]>
Subject: Re: Mersenne: Primenet Error 2250

At 14:16 05/18/2000 -0700, Russel Brooks wrote:
>
>Peter Owen wrote:
>> Is there a problem with the PrimeNet Server?  I keep getting the following
>> message when prime95 tries to contact the server.
>>
>> Contacting PrimeNet Server.
>> ERROR 2250: Server unavailable
>> The FAQ at http://www.entropia.com/ips/faq.html may have  more information.
>>
>> The FAQ says that this is caused by using the RPC protocol in certain
>> circumstances - but I am using the HTTP protocol!
>
>I saw it too a couple of days ago but it was gone when I tried again a
>couple of hours later.
>
>cheers... Russ

I saw it happening earlier today.  The server seems to be going through
some periodic difficulties.

K
_________________________________________________________________
Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm
Mersenne Prime FAQ      -- http://www.tasam.com/~lrwiman/FAQ-mers

------------------------------

Date: Fri, 19 May 2000 22:47:38 -0400
From: George Woltman <[EMAIL PROTECTED]>
Subject: Mersenne: M#36 & M#37

Hi all,

        Congratulations to all GIMPS members on achieving another
milestone!   Today, double-checking has proved that  M(2976221)
and M(3021377) are the 36th and 37th Mersenne primes.

Keep up the good work!
George

_________________________________________________________________
Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm
Mersenne Prime FAQ      -- http://www.tasam.com/~lrwiman/FAQ-mers

------------------------------

End of Mersenne Digest V1 #737
******************************

Reply via email to