After a long and agonizing wait, I have finally received Official (TM)
permission from the International Bacclaureate Organization to post my
Mersenne Primes extended essay on the Internet. (Copyrights stink. Then
again, they did give me an A.) Now that it's all legit, it's back on the
I found this while browsing mindlessly:
http://www.agner.org/assem/pentopt.htm
Rather interesting, if you ask me. I don't know whether it makes me want to
learn assembler or run like hell in the other direction. I seem to gather
that black magic is taught on that page, which might be useful
Yes. There are *many* blind people who rely on speech output of on-screen
text.
A good point, and the ALT tag is very useful. But although blind people and
people with Lynx can't see images, that's no reason not to use images at all.
Images + ALT tag is the way to go. Likewise, just
Yes! And that thought is called an ALT= attribute. In the `new' HTML 4.0(1)
DTDs, ALT= tags are in fact _mandatory_ on every IMG tag. Remember that the
blind are to use the web, too... Similarily, people may choose to turn off
images if they're on low bandwidth, or just want a cleaner page.
Yes,
Sorry for the continuing off-topic stuff, but some things were said that have
to be dealt with:
Version Visitors %
1. MSIE 5.x1,70553.26
2. Netscape 4.x1,17336.63
3. MSIE 4.x2247.00
4. MSIE 5.x (AOL)541.69
This shows 4.95% of vistors are using
Direct RDRAM
HOLY WAREveryone knows (rather, should know) that RDRAM memory provides a
minor speed boost compared to SDRAM, and the much higher cost of RDRAM is
completely unjustified. I've heard that Dell is switching back to SDRAM in
its computers now, which is a Good Thing(TM)./HOLY WAR
unwanted superconductivity
I have never heard this phrase before. :-P Anyway, silicon won't
superconduct, and if the aluminum or copper interconnects did (I think that
Cu superconducts, not sure about Al), that wouldn't be too much of a loss, eh?
Stephan Lavavej
(High-level-language Lucas-Lehmer; how's that for a tortured acronym? :)
Ew. I suggest calling it HL4. Compression is always a good thing!
On IA32 systems, how the code is aligned is also a factor. To compare
accurately, you'd really need the separate code fragments to be in
their own
Willamette(s) which is supposed to debut at 1.4GHz...
Remind me what a Willamette is again. All I know about are Merced (I mean,
Itanium), and the second-generation Itanium called McKinley.
STL
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Will Prime95 be rewritten to run on the Itanium, when it comes out? Seems to
me like 64-bit operation will speed it up significantly, as will the insane
amount of registers and floating point units and all the other
microprocessor
whatnot that I'm not current on. A review (thanks, Stefan
(at least 100 DVDs worth of data -- compressed!)
Holy cow!
There is a 81.62% probability of a Mersenne Prime between
M6,957,583 and M7,001,681
There is a 84.17% probability of a Mersenne Prime between
M6,923,117 and M7,005,181
There is a 93.01% probability of a Mersenne Prime
Movements in the tectonic plates cause slight variations,
Did you know that because we have a tendency to dam up rivers, there has been
a net movement of water away from the equator and toward the poles
(specifically, mostly this happens in the northern hemisphere), so human
activity is
Bucephalus
Someone has a great sense of humor. :-D
Stephan Lavavej
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Mersenne Prime FAQ -- http://www.tasam.com/~lrwiman/FAQ-mers
I know this is mostly off topic, so I'll keep it short:
All the recent stuff about HDs and what would cause Prime95 to fail first got
me thinking. I know theoretically about "electron wind", the phenomenon that
pushes around metal and other atoms in chips, albeit slowly. Does anyone
know of
Drives have a "landing zone" or parking area where the heads will move to
when it's powered down. There's no data on that part of the track, so if
your heads do get stuck there when it's turned off, there's something you
can try...
Anyone remember the really old drives that needed to be
Hi, Mr. Woltman. The side buttons on the new page are really quite nifty.
2) Can someone come up with a spiffier banner?
I have a bunch of banners you can use. :-)
By the way, Mr. Kurowski, it's been a while since I updated them. Are they
too outdated?
MSIE 5 also reports a problem
The possibility of LGM is "sexy" in a pop-culture kind of way. Prime
numbers are only "sexy" to a handful of people.
Nerds vs. pop culture? Simple. Bill Gates is, oh, about a kazillion times
wealthier than Michael Jordan. Yet few people have posters of Bill Gates
hung up in their rooms.
2^83
D'oh! Of course, I meant to write 10^83. I guess that with this being the
Mersenne mailing list and everything, all of those "2^P - 1" vibes got into
my brain, or something. :-D
Stephan T. Lavavej
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The publishers set a deadline of March 15, 2002.
Heh heh - maybe 2202 would be more reasonable.
All above 21 are either 0, 1 or 2 mod 3, and are therefore the sum of
either
1, 2 or 3 sevens with a sufficient number of 3's thrown on top.
I am sure this can (and should) be stated far more
It has a finite volume. However, it has an infinite surface area.
One of my friends, AYL (who proofread my Mersennes paper) loves to talk about
Gabriel's Horn. His favorite comment is: "So, I can pour paint INTO the
thing, but I can't paint it?"
Stephan Lavavej
I am using WIN 98. How do I set up an icon on the desktop to kick off
PRIME95 (
If the computer crashes, give it the three-fingered salute. Then, if you have
Prime95 set as a Win95 Service, it'll start automatically.
Stephan "Heil Gates!" Lavavej
Aaaack! Who's the one sending mail to the list that makes it appear with a
red background?
Stephan "Retinal Afterimage" Lavavej
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Mersenne Prime FAQ --
A while ago someone posted a demonstration of the Lucas-Lehmer test
for, I think, 2^7-1.
LL test:
S[0] = 4
S[k+1] = S[k] ^2 - 2 mod 2^P - 1
2^P - 1 is prime if and only if S[P-2] = 0.
Demonstration for 2^7 - 1 = 127:
S[0] = 4
S[1] = 4^2 - 2 mod 127 = 14
S[2] = 14^2 - 2 mod 127 = 194 mod 127
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Blerg! Do we
(?? Last name ??), who notified me that I can simply click
Save As HTML in MS Word! Bill Gates performs a miracle again! *grin* I put
the HTML version in my private directory. For those who live in a world free
of Micros~1, simply go to:
http://members.aol.com/stl137/private/Mersenne.html
Apparently
Looks like after I updated it, a capital "M" must be typed in "Mersenne.zip"
AND "Mersenne.html" to access my paper.
Stephan "...and the number of the beast shall be 404" Lavavej
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Of course, we've got a classic chaotic feedback mechanism in place... if
the list is too quiet (posts per unit time is low), a thread will
spontaneously create itself to discuss the fact, immediately rendering the
list less quiet (increasing the post per unit time).
Excellent. And don't forget,
Who's sending mail to the list that makes the digests appear with a red
background in my AOL mailreader? Arrgh... afterimage... AFTERIMAGE!
S.T.L.
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Mersenne Prime FAQ
I believe the world record was around 40,000 digits.
Right you are. My trusty 1994 Guiness Book of World Records puts it at
exactly 40k, by Hideaki Tomoyori, in 17hr 21min (including 4hr 15min of
breaks).
S. "I'm so old, my memory's failing me already" L.
If Noll's Island Theorem/Theory/Hypothesis is true then there are two of
Mersenne primes in this region.
Therefore, it is M40 below (???!!!???) or M41 (even more ! ?) if
M(6896873) is the the `upper' (north?) part of the island.
Let's find them all -:)
I've never heard of a rigorous
Hello again.
When I fit an exponential line to the 1st 37 mersenne prime's exponents
(since I believe that 6972593 is actually the 39th, but have no proof, so
I figured I'd leave it out), the line I got was y=1.7661e^0.301x (hope I
wrote that right), and r^2=0.9925.
I have believed for quite
(I'm quite poor at choosing subjects, you see.)
Well, I found my notecard of predictions that I had calculated a while ago
with my conjecture. Here are some of the values I computed. These can either
be used for a good laugh (M100 in particular is nice to look at), or you can
write these
Hello, everybody. As usual I'm quoting different people. Disturbingly, I
noticed a weird HTML tag on my last E-mail. I can assure you I didn't put it
there, and don't know why my software's acting up on me (because I've never
seen that jibberish before). HTML mail is evil, only second to MIME.
I'm afraid that if you are correct, so is Wagstaff. The symbol "~",
at least in mathematics means that if f(x)~g(x) then f(x)/g(x)=1 as
x-infinity.
So constants don't matter, of course.
Your conjecture seems like it would yeild a better aproximation than
Wagstaff's
Nod, that's what I was
A while back on this list, we had a discussion on just this very thing, but
as it turns out, with some more notable examples, as you have seen, the
deviation, in percent, between so called pairs is pretty far and wide. And
then you have to ask, well, what constitutes a pair anyway? Within 10%
I'm one of many who got fed up with distributed.net and cracking rc5des.
If I ever did those, I think get fed up too. It almost seems pointless,
breaking codes that someone knows the solution to, just to prove you can do
it. At least with GIMPS you get to make real mathematical discoveries for
I go to my mailbox and what do I find?
S. "There are lies, damned lies, and benchmarks" L.
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Hrm.
[STL clicks on ONLINE.EXE]
The ONLINE.EXE file is linked to missing export
WININET.DLL:InternetGetConnectedState.
["Yeah, yeah." STL clicks OK.]
C:\TEMP\ONLINE.EXE
A device attached to the system is not functioning.
["Auuugh! You hunk of junk computer!" STL pounds his fist on the desk
Please excuse the two messages I sent to the list just now - they were saved
in my AOL "send later" pile, and I clicked Send All. Aaack.
S. "Clicked the wrong button" L.
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Why not? A P90 adds 1 P90 CPU year per year (give or take). Not everyone
can afford a PIII/550.
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.
By
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
Hello, everyone. Wow, there was a lot in the last digest that I thought
needed commenting on. This prize thread is _almost_ getting as bad, in my
opinion, as the other, recent, evil thread which I shall not name. I am, of
course, replying to many different people in this message.
P.S. Are
Is that true? I thought that a LL test of a Mersenne was faster.
Everything I've ever heard says that LL tests are faster than Proth, and in
fact the quickest test for primality versus other types of numbers. Hm.
S.T.L.
_
) that
just says 2^P - 1.
For those interested:
The gallery page can be found at http://mersenne.cjb.net/
The FTP directory of the banners is at ftp://members.aol.com/stl137/bannerz/
There is now a .ZIP file of all the banners on the gallery page.
S.T.L
Seeing as how anyone with even the most rudimentary of Internet searching
skills (i.e. me) can find a publicly available Internet page with a certain
highly important number on it, I ask why it is there. I thought that "those
in the know" were *absolutely not* supposed to reveal it to anyone
I'm keeping my fingers, toes and hairs crossed :-) Just too bad nobody
else has participated in my guess-contest... That means I will be the
sole winner! Hooray!
Then, later:
Hmmm, my guess was at about 6,2 million, but nobody else guessed,
so there :-)
Sorry, but I _also_ submitted a guess for
I have mine configured to be a tray icon, which generally goes unnoticed or
is ignored.
How about the No Icon option? (You can still access it by trying to run
Prime95.exe again). And have it configured as a Win95 service. I'm not sure
if my system is an anomaly, but even the Three-Fingered
Please - if you can, avoid quoting anything that doesn't directly pertain to
what you're responding to. Some people's posts have dozens of lines of
unnecessary quoting attached. This is an annoyance to (probably the very few)
those who use AOL and are forced to download an attachment when the
Oh, evil weasels are present everywhere.
Are you sure of that? What if the bug didn't happen to strike my run, or the
errors could be corrected?
Cannot be corrected. The error is present in the first iteration. And the bug
DID strike your run.
If what you say is true, then whoever designed
Just wanted to say something quickly.
Does anyone know if those con men with the video cameras and the three
lava lamps are still in business?
I wouldn't call them con men - their setup is very, very good, and they work
at SGI (if I recall correctly). Somewhat more on topic, they churn their
Thanks for everyone's replies to my posts. I'll try to hunt down those
resources.
The fact that you, a $1000 computer and a suitably optimized
program could now do the test in a millisecond or two is irrelevant.
Auuugh! Now I'm just going to have to see how fast I can run an LL test on
M(127)
Yesterday a coworker
saw my six page printout of the Great Number on the wall of my office,
asked, and I explained GIMPS and the LL algorithm, how the program
checks to see if M(n) divides S(n). He is a clever chap and asked why
prime95 starts from scratch calculating S(n) instead of getting it
How about sweetening the pot for anyone who is doing double checking
that discovers a mistake in the first LL analysis?
Hrm. A small reward would be an incentive. Of course, any mistakes found would
have to be TRIPLE-checked, so that no one fakes an error (easy) to get the
incentive. Of course,
which slogan you like the best. Feedback
is god, good
:-D
Thanks!
STL137
the PrimeNet list
Huh? What's that? Is there another PrimeNet list? If there is, please
point me
in the direction of how to sub scr-EYE-be. :-D
Thanks.
STL
(That word is spelled oddly up there so this mail doesn't get bounced. :-)
Does anybody have any information about Mersenne Primes
being the subject of the Final Jeopardy round on the Nov 23 show?
Last night I hurriedly ran out of the computer room to catch the final bit of
Jeopardy. Apparently no one *grumble grumble* got the question. Trebek
proceeded to begin to
I have two computers - a 200Mhz Pentium MMX, and a 400Mhz Pentium II. Also,
the PII is left on 24 hours a day, while the P5 is used during the day and is
only left on sometimes during the night. Currently both run LL tests. I was
wondering, if it would be possible and more efficient to have my P5
I've resumed work on my GIMPS banners again. If you have any suggestions as
how to improve the current banners that I have, or as for new banner ideas,
please E-mail me personally. Thanks! The gallery I have can be found at:
http://members.aol.com/stl137/bannerz/gallery.html
I have fixed numbers
Getting the network would be impossible, as it should be.
No, it shouldn't. GIMPS, or some distributed computing project, should be on
every computer in the world.
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