Mersenne Digest        Wednesday, March 1 2000        Volume 01 : Number 700




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Date: Mon, 28 Feb 2000 16:10:21 EST
From: [EMAIL PROTECTED]
Subject: Mersenne: Re: Mlucas on Sparc

Will however sent me a message within the last hour about compiling
Mlucas on a Sparc please resend it? I inadvertently hit 'delete' before having
read it, and it wasn't copied into my AOL old mail cache where I could
normally recover it from.

Reminder to Sparc users: unless you're interested in palying around with
compile options to see if you can best what bill Rea (my Sparc 'compile czar')
and I cam up with, please just download the precompiled Sparc binary from
the links in my README file below.

Happy hunting,
- -Ernst

ftp://209.133.33.182/pub/mayer/README.html

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Date: Mon, 28 Feb 2000 21:13:04 +0000 (GMT)
From: Chris Jefferson <[EMAIL PROTECTED]>
Subject: Re: Mersenne: GIMPZ

On Mon, 28 Feb 2000 [EMAIL PROTECTED] wrote:

> Jukka Santala wrote:
> 
> >First of all, I take offence at the use of the term "hacker" here.
> >I would have thought most people following this list are knowledgeable
> >enough to make the distinction - what GIMPS for example does is hacking
> 
> Thanks for clearing me up on that - I was under the (apparently misguided)
> impression that GIMPS was about recreational mathematics. My sincerest
> apologies. I shall begin to recode all my software, er, I mean to say,
> warez, immediately.
> 
> -Ernst

And this is the reason why 'hackers' get such bad press. hackers are not
interested in "warez", "crackz" , or anything similar. The people who
wrote Linux were hackers, as were the people who originally wrote DOS (big
bill never was. =\ )

We are hackers here, we are trying to combine together to power of many
computers to see what happens and what interesting results we might
create..

Chris



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

Date: Mon, 28 Feb 2000 14:42:24 EST
From: [EMAIL PROTECTED]
Subject: Mersenne: GIMPZ

Jukka Santala wrote:

>First of all, I take offence at the use of the term "hacker" here.
>I would have thought most people following this list are knowledgeable
>enough to make the distinction - what GIMPS for example does is hacking

Thanks for clearing me up on that - I was under the (apparently misguided)
impression that GIMPS was about recreational mathematics. My sincerest
apologies. I shall begin to recode all my software, er, I mean to say,
warez, immediately.

- -Ernst

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

Date: Mon, 28 Feb 2000 19:11:22 -0400
From: "Francois LeBlanc" <[EMAIL PROTECTED]>
Subject: Mersenne: NT Service

This is a multi-part message in MIME format.

- ------=_NextPart_000_0059_01BF821F.99B77F40
Content-Type: text/plain;
        charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable

Hello all,
Quick question here.
How do I setup Prime95 as an NT Service?  Is it as easy as selecting =
Prime95 in Add Service?  Could there be any problems in connecting to =
the server while nobody is logged on?
Pardon my ignorance.
Fran=E7ois LeBlanc

- ------=_NextPart_000_0059_01BF821F.99B77F40
Content-Type: text/html;
        charset="iso-8859-1"
Content-Transfer-Encoding: quoted-printable

<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
<HTML><HEAD>
<META content=3D"text/html; charset=3Diso-8859-1" =
http-equiv=3DContent-Type>
<META content=3D"MSHTML 5.00.2614.3500" name=3DGENERATOR>
<STYLE></STYLE>
</HEAD>
<BODY bgColor=3D#ffffff>
<DIV><FONT face=3DArial size=3D2>Hello all,</FONT></DIV>
<DIV><FONT face=3DArial size=3D2>Quick question here.</FONT></DIV>
<DIV><FONT face=3DArial size=3D2>How do I setup Prime95 as an NT =
Service?&nbsp; Is=20
it as easy as selecting Prime95 in <STRONG><EM>Add =
Service</EM></STRONG>?&nbsp;=20
Could there be any problems in connecting to the server while nobody is =
logged=20
on?</FONT></DIV>
<DIV><FONT face=3DArial size=3D2>Pardon my ignorance.</FONT></DIV>
<DIV><FONT face=3DArial size=3D2>Fran=E7ois =
LeBlanc</FONT></DIV></BODY></HTML>

- ------=_NextPart_000_0059_01BF821F.99B77F40--

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

Date: Mon, 28 Feb 2000 19:51:26 EST
From: [EMAIL PROTECTED]
Subject: Re: Mersenne: GIMPZ

Chris jefferson wrote:

>And this is the reason why 'hackers' get such bad press. hackers are not
>interested in "warez", "crackz" , or anything similar. The people who
>wrote Linux were hackers, as were the people who originally wrote DOS (big
>bill never was. =\ )

>We are hackers here, we are trying to combine together to power of many
>computers to see what happens and what interesting results we might
>create..

Sandy Harris wrote:

>http://www.tuxedo.org/~esr/jargon/html/Appendix-C.html

Ah, the ever-shifting nomenclatural sands of net culture. You know,
there are any number of more accurate (but probably seen as old-
fogeyish) terms for the type of person you call a 'hacker.' Here are
a few:

programmer (you know, like don knuth, another old fogey)
programming enthusiast
distributed computing aficionado
open source software proponent

George Woltman himself (admittedly, he's probably-gasp-in his 40s)
once deleted a link to a distributed crypto-cracking site because
(in his own words) "it smells of hackerism." Just because Eric
Raymond (much as i admire the man) defines it a certain way and
Hollywood made a (really stupid) film by the same name, doesn't
mean everyone has adopted it. Sure, it sounds cooler than boring
ol' 'computer geek,' but I'm afraid we shall have to agree to
(respectfully) disagree on this one.

Now back to the plain old programming (at least for me),
- -Ernst

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

Date: Tue, 29 Feb 2000 00:01:19 -0500
From: Dennis Pope <[EMAIL PROTECTED]>
Subject: Re: Mersenne: Manual Use of Primenet

"Brian J. Beesley" wrote:
> 
> On 27 Feb 00, at 22:56, Your Name wrote:
> 
> > [snip] the time allotted to the LL test is 50 days, a bit less
> > than half the time the P166 actually needs.
> 
> No, your system is running slow for some reason. Is it an AMD
> processor, or is it running ~12 hrs/day? Either of these would
> explain the anomaly.
> 
It's an HP Vectra VL Series 4, 5/166 with a Pentium processor and 32MB
running 24 hours a day.  Currently LL'ing M9393623, it has an iteration
time of 0.883 seconds.  Prime95 appears to be running entirely in
memory, as there is rarely a disk access (basically to update the save
files).  Recalling other posts about the BIOS setup causing slow
processing, I checked that, but both L1 and L2 memory caching are
enabled.  This is a dedicated PC, so there's nothing else running other
than Windows 95 itself (in fact, there's nothing else *on* the system). 
I'd be grateful for any other suggestions, as I've run out of ideas.

> [snip]
> There are two ways to use automatic assignments in your situation:
> 
> (a) if you have a LAN, run pnProxy on the system with the internet
> connection;
> 
> (b) without a LAN, set up another copy of Prime95 in a different
> directory on your system with internet connectivity [snip]

Thanks for these suggestions; now I have another goal (or two).
> 
> Regards
> Brian Beesley
> 
> p.s. Why not change the "Your Name" parameter in your mail client to
> something meaningful?

Ouch!  The "Your Name" e-mail was the first one I sent out after
upgrading to Netscape 4.7 which updated all my other settings fine,
but... well, you get the picture.  Talk about embarrassing!

By the way, thanks for all your other information... very helpful.

Best regards,
Dennis Pope
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------------------------------

Date: Mon, 28 Feb 2000 22:58:58 -0800
From: "Terry S. Arnold" <[EMAIL PROTECTED]>
Subject: Re: Mersenne: PII vs. PII

If the PIII is a Coppermine part the full speed cache makes a big difference.

Terry

At 01:40 PM 2/28/2000 -0500, you wrote:
> >From a rather haphazard reading of my account info, it seems to me that my
>500Mmhz PIII is cranking out LL tests about twice as fast as my 300mhz PII.
>
>Is that expected?
>
>If so, what in a PIII gives it such an advantage over a PII?
>
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Terry S. Arnold 2975 B Street San Diego, CA 92102 USA
[EMAIL PROTECTED] (619) 235-8181 (voice) (619) 235-0016 (fax)

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

Date: Tue, 29 Feb 2000 14:59:08 -0800
From: Eric Hahn <[EMAIL PROTECTED]>
Subject: Mersenne: RE: information please

Perhaps somebody with a little more knowledge about these
matters can help this person...

Frank Dull ([EMAIL PROTECTED]) writes:
>i am new to this type of stuff and need some help.  can you please
>point me to some explicit information on the web dealing with the
>different factoring methods?  i hear about trial factoring and ecm
>and p1 and nfs and mpqs and others but am unable to find any
>good information about them.  how do you figure the information
>required for them like bounds and curves and polynomials and such?
>i need it as simple as possible since i can not understand half
>of what i have seen.
>


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

Date: Tue, 29 Feb 2000 22:22:26 -0500
From: Pierre Abbat <[EMAIL PROTECTED]>
Subject: Mersenne: How the MPQS and NFS work

The MPQS, the NFS, and several other factoring algorithms accumulate a list of
relations of the form x^2=a*b*c*d*e (mod n), where a-e are members of a set of
small primes and units called the factorbase. Then these relations are fed into
a matrix algebra step, which results in an equation of the form x^2=y^2(mod n),
x<>y, x+y<>n. Then x+y is divisible by one factor of n, and x-y by the other.

Here is an example: Factor 3977. The program below calculates numbers whose
squares mod 3977 are congruent to products of -1, 2, 3, 5, 7, 11, and 13, and
outputs the results in binary. The first few lines of the output are:

     1      0
   87 111001
   88  11111
   89 100101
  1111001110
  168 111000
  209 100111
  2971101000
  309 100100
  3441110100
  3541110110
  373 100111
  3751101010
  3891001100
  3901110101
  414 111000
  446 100110
  4981101010

Ignoring the trivial relation of 414 and 168, (87*168)^2 and (373*446)^2 have
the same parity. So:

(87*168)^2=-25*49*121
(373*446)^2=-4*9*121
(87*168*2*3)^2=(373*446*5*7)^2
202=202, so this tells us nothing.

Try another: 375, 390, and 88.
(375*390)^2=-2*3*5*7*121*169
88^2=-2*3*5*7
(375*390)^2=(88*143)^2
3078^2=653^2
This tells us something: 3731 and 2425. 41|3731, 97|2425, and the number is
factored.

phma
- ---
( The method common to the number field sieve, the mpqs, and similar factoring methods 
)

3977 constant comp ( a composite number to be factored )

create factorbase comp 1- , 2 , 3 , 5 , 7 , 11 , 13 ,
7 constant factors

: fprod ( n - n )
  1 factors 0 do
    over 1 i lshift and if
      factorbase i cells + @ * comp mod
    then
  loop nip ;

: factor ( n - n | -1 )
( Returns >=0 if n is a product of some subset of factorbase. )
  -1 swap 1 factors lshift 0 do
    i fprod over = if
      nip i swap leave
    then
  loop drop ;

: .squares
  comp 1 do
    i dup * comp mod factor 1+ ?dup if
      cr i 5 .r 1- base @ swap 2 base ! factors .r base !
    then
  loop ;
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------------------------------

Date: Wed, 1 Mar 2000 02:01:08 EST
From: [EMAIL PROTECTED]
Subject: Mersenne: Re: Mersenne Digest V1 #699

<< From a rather haphazard reading of my account info, it seems to me that my
 500Mmhz PIII is cranking out LL tests about twice as fast as my 300mhz PII.
 
 Is that expected?
 
 If so, what in a PIII gives it such an advantage over a PII? >>

This could be due to cache size, memory speed, etc.

Stephan "I can't believe it's not partially hydrogenated soybean oil!" Lavavej
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Date: Wed, 01 Mar 2000 23:41:26 -0500
From: George Woltman <[EMAIL PROTECTED]>
Subject: Mersenne: Fill my mailbox

Hi all,

        The Mersenne benchmark page is badly out of date.  I'm going to
create a new page and I need data (Intel-compatible CPUs only).  Please
send ONLY VERSION 19 TIMINGS.

        Please email to me, NOT THE ENTIRE MAILING LIST, the
following data (if unsure of a value that's OK).  Email the entire mailing list
if you want to discuss which data is collected.

        CPU type:       Pentium, PPro, P-II, P-III, Xeon, Celeron, K6, Athlon, etc.
                        For coppermine, note the E or B designator if you know it
        CPU Speed:      in megahertz
        L2 cache size:  in KB
        L2 cache speed:  as a multiplier of CPU speed (esp. for Athlons)
        Bus Speed:      66, 100, or 133 MHz (overclockers may have other values)
        Timings:        Use Advanced/Time on these exponents (M = million):
                        3M, 3.5M, 4M, 5M, 6M, 7M, 8M, 10M, 12M, 14M, 16M, 18M
                        Send the BEST time.  Try to get these timings when the
                        machine is otherwise idle.
        OS:             Windows 95, 98, NT, 2000, Linux, etc.
        Notes:          Any other special information you think I might need to know.
                        For example: uses PC133 memory instead of RAMBUS.

For example, my PII-400 benchmark machine is:
        CPU type:               PII
        CPU Speed:              400
        L2 cache size:          512KB (I think)
        L2 cache speed: 1/2 of CPU speed
        Bus Speed:              100 MHz
        Timings:                3M = .083, 3.5M = .098, 4M = .119, 5M = .132,
                                6M = .173, 7M = .211, 8M = .252, 10M = .281,
                                12M = .372, 14M = .453, 16M = .536, 18M = .600

I'll construct a page that gives the typical timings for each CPU type and 
speed.

Thanks,
George

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End of Mersenne Digest V1 #700
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