Mersenne Digest Thursday, 25 February 1999 Volume 01 : Number 513 ---------------------------------------------------------------------- From: Henrik Olsen <[EMAIL PROTECTED]> Date: Mon, 22 Feb 1999 13:01:24 +0100 (CET) Subject: Re: Mersenne: linux On Sun, 21 Feb 1999, Andr� de Boer wrote: > Subject: Mersenne: linux > > Hello, > > Recently i installed linux on my pc and i'm thinking of > switching to this platform. > What's the best way to transform my prime configuration to > this platform. > > Can i download the files for linux and copying the p* and q* > files to linux? > > Thanks in advance for the reaction, > Andre de Boer Just run mprime in the same directory as you have prime95.exe, it'll use the same .ini and p*/q* files, updating them in a compatible way. I regularly switch between Win95 and Linux, simply continuing the calculations where they stopped in whatever system I was in last. - -- Henrik Olsen, Dawn Solutions I/S URL=http://www.iaeste.dk/~henrik/ Get the rest there. ________________________________________________________________ Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm ------------------------------ From: Marc Getty <[EMAIL PROTECTED]> Date: Mon, 22 Feb 1999 09:31:15 -0500 Subject: Mersenne: TempleU-CAS Top Producer > i see the new top producer is TempleU-CIS. i assume > this is temple university in pittsburg pennsylvania. i conjecture > that cis is computer information security? congratulations > templeU-CIS. how did you do it? spike Try, TempleU-CAS in Philadelphia Pennsylvania. The former College of Arts & Sciences at Temple University. See http://etc.temple.edu for how it was done. Marc Getty - [EMAIL PROTECTED] - [EMAIL PROTECTED] - ICQ: 12916278 http://www.getty.net - http://www.vwthing.org Work: 215-204-3291 http://etc.temple.edu/ Home: 215-322-8363 ________________________________________________________________ Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm ------------------------------ From: "Foghorn Leghorn" <[EMAIL PROTECTED]> Date: Mon, 22 Feb 1999 13:28:12 EST Subject: Mersenne: Re-ordering work? I recently received an unusually small assignment--around 4.8 million--and I'm wondering if it would be okay to start it sooner by moving the relevant entry in worktodo.ini to the second line, right after the current test in progress. Is there anything wrong with this? ______________________________________________________ Get Your Private, Free Email at http://www.hotmail.com ________________________________________________________________ Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm ------------------------------ From: Matthew A Lewis <[EMAIL PROTECTED]> Date: Mon, 22 Feb 1999 14:02:08 -0600 Subject: SR (was Re: Mersenne: all these primes...) according to special relativity, spike, that will be one SLOW, half-duplex conversation.... [EMAIL PROTECTED] wrote: > i like the idea of finding larger and larger prime numbers but i still > dont know what this will do for modern mathematics.... i thought of a good reason to have enormous prime numbers: we would use them to impress extraterrestrial intelligences, should we ever manage to contact them. any alien civilization capable of building receivers must understand mathematics, and since primes are prime in every base, they would understand mersenne primes too. they may call them something else, such as freemblookum primes, but they would get it. if there is no other way, in principle, to discover freemblookums other than massive brute force computation, we might make a little game of it: we send them the first 37, they send us the 38th, we send them 39th etc, and so the whole universe will watch the outcome of our first interstellar intelligence contest... {8^D spike ________________________________________________________________ Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm ------------------------------ From: Daren Scot Wilson <[EMAIL PROTECTED]> Date: Mon, 22 Feb 1999 19:53:32 +0000 Subject: Mersenne: Riemann's Hyp. Will knowing more Mersenne Primes help in any way with finally resolving Riemann's hypothesis? That has always been my favorite Great Unsolved Problem since the four-color theorem was proven. - -- Daren Scot Wilson [EMAIL PROTECTED] www.newcolor.com - ---- "A ship in a harbor is safe, but that is not what ships are built for" -- William Shedd ________________________________________________________________ Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm ------------------------------ From: Kotera Hiroshi<[EMAIL PROTECTED]> (Kotera Hiroshi) Date: Tue, 23 Feb 1999 11:37:11 +0900 (JST) Subject: Mersenne: Early China math predates Greeks Dear all The following item can be found in Japan Times ST on Friday, Feb. 26 1999. Early China math predates Greeks: PARIS (AFP) - Chinesne mathematicians used formulae 2000 yaers ago comparable to the algorithms used by computer scientists today, says a French scientist and Sinologist who is translating a classical ancient Chinese work. In a newsletter publishied by the National Center for Scientific Research, Karine Chemla says she and a Chinese colleague, Guo Shuchun, found problems in "Nine chapters on mathematical procedures," which until now were thought to have been first tackled by ancient Greek mathematicians. The ancient Chinese work, by unknown authors, dates from a period spanning the two centuries immediately before and after the birth of Jesus Christ. Could you tell me how to get the newsletter by NCSR. Best wishes ++++++++++++++++++++++++++++++++++++++++++++ Hiroshi Kotera 1014-4 Tokujyo-cho Nara City 630-8144 JAPAN email : [EMAIL PROTECTED] http://www.asahi-net.or.jp/~nj7h-ktr/ ++++++++++++++++++++++++++++++++++++++++++++ ________________________________________________________________ Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm ------------------------------ From: Spike Jones <[EMAIL PROTECTED]> Date: Mon, 22 Feb 1999 21:54:04 -0800 Subject: Mersenne: so many primes, so little time... Mersenne primers, please indulge me with this fanciful history of the future: Moore's law holds, additional Mersenne primes are found, computers get faster and smaller until they are made of nearly pure lithium. The two s-orbital electrons are used for data and the p-orbital electron is used for structural stability. In this way, each lithium atom represents 2 bits and signals are carried via photons that must travel at least two Van der Waal's radii in order to communicate with the adjacent atom, so this represents a top theoretical speed for digital computation (as we know it) of 10^16 hz. (3E8cm/sec / 2*1.6E-8cm ~ =10^16 hz). Assuming the upper possible calculation limit for any single bit operation is the number of bits times the clock speed (unrealistic, but this *is* a fantasy) then these computers became so effective at entertaining the carbon units with such passtimes as searching for Mersenne primes and video games that the carbon units failed to procreate sufficiently and consequently became rare, then extinct. The lithium computers in the mean time developed the ability to build copies of themselves and join into massive parallel networks. Soon all the lithium was depleted, but they somehow transmuted elements until the earth was one very large sphere of cold lithium, calculating away on anything it found interesting. The mass of the earth is about 8E24 kg, and there are on the order of 10^26 atoms of lithium per kg, so the earth became a computer with 2E51 bits capable of an equivalent of 10^67 operations per sec, but one of those operations was to cast a lustful eye at Jupiter and the other planets, which it managed to convert to lithium supercomputers (jupiter is 330+ earth masses) and soon the same was done with the sun (333,000 earth masses) so this solar system alone was capable of 3E72 operations per second. Probes were sent out to do the same to all the other stars in the Milky Way, after which the name was changed to the Lithiumy Way, which had, prior to the conversion, 4E14 solar masses. The other lifeforms in the Lithiumy Way were not at all pleased by all this, but the galaxy became a massively parallel computer capable of 1E97 operations per second. Encouraged by its progress, the Lithiumy Way sent out probes to all the other trillion galaxies in the observable universe, converted them all, along with all the intergalactic dust and gas, the dark matter, etc, into lithium based interconnected supercomputers, the grand total worth 1E114 operations per second. Then it discovered that way back, the carbon units had claimed that 2^3021377-1 is prime, however, it did not know about the Lucas Lehmer test but only knew brute force factoring methods at which it was so very competent. (the lithiverse, like its distant primive ancestor the microprocessor, was brutally fast and unfailingly accurate, but not so... creative.) The lithiverse wondered how the slow, dim witted but strangely resourceful carbon units knew 2^3021377-1 was prime, and set out to confirm or disprove the notion using brute force factoring with its 1E114 operations per second capacity. Question: assuming a half life of protons of 1E35 years, is there enough time for the lithiverse to confirm the 37th mersenne prime via brute force factoring, before the decay of protons reduces the lithiverse to a wispy quark fog? or will its next idea be to start converting lithium to carbon? {8^D spike ________________________________________________________________ Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm ------------------------------ From: Spike Jones <[EMAIL PROTECTED]> Date: Mon, 22 Feb 1999 22:16:10 -0800 Subject: Re: SR (was Re: Mersenne: all these primes...) > > dont know what this will do for modern mathematics.... > > i thought of a good reason to have enormous prime numbers: > we would use them to impress extraterrestrial intelligences, should > we ever manage to contact them. ... there is also the possibility that there are exocivilizations that are more advanced than ours technologically and computationally but that never did discover the lucas lehmer algorithm. they would pull their antennae out trying to figure out how we computed the larger mersennes. {8^D spike ________________________________________________________________ Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm ------------------------------ From: Musashi <[EMAIL PROTECTED]> Date: Tue, 23 Feb 1999 04:57:24 -0600 Subject: Re: Mersenne: so many primes, so little time... > Mersenne primers, please indulge me with this fanciful history of the > future: > > Moore's law holds, additional Mersenne primes are found, computers > get faster and smaller until they are made of nearly pure lithium. > The two s-orbital electrons are used for data and the p-orbital > electron is used for structural stability. In this way, each lithium > atom That was awesome! I rather enjoyed it. Well done. =) ������������������������������������������ �� Musashi �� ������������������������������������������ ________________________________________________________________ Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm ------------------------------ From: [EMAIL PROTECTED] (Chris Smith) Date: Tue, 23 Feb 99 10:50 CST Subject: Re: Mersenne: Prime testing on 486 running linux From: "David N. Moreno (El Guapo)" <[EMAIL PROTECTED]> Date: Tue, 2 Feb 1999 19:06:22 -0800 (PST) I am having a software problem(GIMPS), and am hoping somebody has had a similar expierience. I have a 486 DX4-100 running linux (Slackware, kernel 2.0.34, 16 meg of RAM) and I cant get either of the linux versions available to work on my machine. From: Henrik Olsen <[EMAIL PROTECTED]> Date: Wed, 3 Feb 1999 09:07:48 +0100 (CET) I have essentially the same problem, mprime segfaults on a 486, I tried with both Slackware 3.5.0 and RedHat 5.2, exact same library and kernel versions as the ones in the pentium machines I run mprime on. I too had problems (on a pentium) with mprime, starting about version 14. I finally tracked it down to some lines in my /etc/profile like this: ulimit -Hs 32768 ulimit -Hd 65536 ulimit -Ss 16384 ulimit -Sd 32768 (Old linuxes could get bogged down by buggy programs infinitely growing the stack or like that; the above lines set address space limits to prevent problems.) (Newer linuxes don't need this.) The way mprime is linked, it appears to have an enormous data segment. It isn't actually enormous, just at a high address. Make sure you don't have any limits set for it: $ ulimit -a core file size (blocks) unlimited data seg size (kbytes) unlimited file size (blocks) unlimited max memory size (kbytes) unlimited stack size (kbytes) unlimited cpu time (seconds) unlimited This fixed the problem I was having. I'm also running it on a 486/66 without segfaults. ________________________________________________________________ Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm ------------------------------ From: Blake Stacey <[EMAIL PROTECTED]> Date: Tue, 23 Feb 1999 16:57:26 -0600 Subject: Re: Mersenne: so many primes, so little time I'm not so sure that this is really an upper limit to computation. For that matter, I'm not sure that the lithiverse really utilizes its full potential. Consider: Beyond the atoms devoted entirely to factoring, there must be at least a few zillion arranged to handle the flow of information: the allocation of trial factors, the sending of messages from one planet to the next, etc. But this isn't a major thing, just a design issue. Mainly, I'd like to dispute the "operating lifetime" figure of 1E35 Earth-years per proton. With all this computing power, the lithiverse should have been able to figure out how to build operating components out of something more fundamental than your everyday hadrons. If (this is a fantasy, right) it could build the next-generation components out of unconfined quarks, then the lithiverse would become a very exciting thing. While we're at it, why not spend some of the time working out ways to send probes at right angles to reality and explore other Universes? That would push the limits of computation beyond the range of exponential notation, practically speaking. We'd better use surreal number theory to continue this discussion. :) - -- Blake Stacey Executive Director of Programming HyperSphere Software [EMAIL PROTECTED] :: http://fly.hiwaay.net/~bstacey Some chairs are ergonomic. No junk bond is ergonomic. Therefore, some chairs are not junk bonds. ________________________________________________________________ Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm ------------------------------ From: Gerry Snyder <[EMAIL PROTECTED]> Date: Tue, 23 Feb 1999 18:50:46 -0800 Subject: Re: Mersenne: so many primes, so little time... Spike Jones wrote: > > Mersenne primers, please indulge me with this fanciful history of the > future: > > .... Question: assuming a half life of protons of 1E35 years, > is there enough time for the lithiverse to confirm the 37th mersenne > prime via brute force factoring, before the decay of protons reduces > the lithiverse to a wispy quark fog? or will its next idea be > to start converting lithium to carbon? {8^D spike So Asimov was wrong about the topic of "The Last Question"? Let there be primes! - -Gerry - -- mailto:[EMAIL PROTECTED] AIS Region 15 Warm, winterless Los Angeles President of San Fernando Valley Iris Society My work? Helping generate data for http://www.jpl.nasa.gov/galileo ________________________________________________________________ Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm ------------------------------ From: Andre De Boer <[EMAIL PROTECTED]> Date: Wed, 24 Feb 1999 10:33:54 +0000 Subject: Mersenne: linux again Hello, My appologize for asking this question on this list. But i still have some problems running mprime. I managed to have a mprime on my win95 partitie in the same directory as prime95, p*, q* and prime.ini and so on. When the programs runs and it want to write some results i get the following message: Error writing intermediate file: r6361193 Error opening the results file. Unable to open log file. I don't have any r* files, below a copy of the contents of prime95: [root@ANDRE prime95]# ls -al total 4736 drwxrwxr-x 3 root root 32768 Feb 23 19:55 . drwxrwxr-x 4 root root 32768 Oct 26 16:19 .. - -rwxrwxr-x 1 root root 77312 Oct 2 16:20 httpnet.dll drwxrwxr-x 2 root root 32768 Feb 23 19:51 linux - -rwxrwxr-x 1 root root 344 Feb 24 04:34 local.ini - -rwxrwxr-x 1 root root 701355 Feb 23 20:23 mprime - -rwxrwxr-x 1 root root 1310738 Feb 24 09:20 p6361193 - -rwxrwxr-x 1 root root 479 Feb 16 19:50 prime.ini - -rwxrwxr-x 1 root root 3289 Feb 17 18:41 prime.log - -rwxrwxr-x 1 root root 9 12384 Oct 13 14:15 prime95.exe - -rwxrwxr-x 1 root root 20 Oct 19 23:40 primenet.ini - -rwxrwxr-x 1 root roo 1310738 Feb 24 08:48 q6361193 - -rwxrwxr-x 1 root root 28315 Oct 4 19:08 readme.txt - -rwxrwxr-x 1 root root 935 Feb 23 19:55 results.txt - -rwxrwxr-x 1 root root 35840 Oct 2 16:20 rpcnet.dll - -rwxrwxr-x 1 root root 14388 Oct 2 16:32 whatsnew.txt - -rwxrwxr-x 1 root roo 41 Feb 24 04:34 worktodo.ini The partitie is mounted with: mount /dev/hdb1 -t vfat /mnt/d: Also am i expecting problems with connecting primenet. Can someone help me out, thanks in advance, Andre de Boer Still a newbie in linux but already in love. ________________________________________________________________ Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm ------------------------------ From: [EMAIL PROTECTED] Date: Tue, 23 Feb 1999 16:45:47 -0800 (PST) Subject: Re: Mersenne: so many primes, so little time... On Tue, 23 Feb 1999, Musashi wrote: > > > > Mersenne primers, please indulge me with this fanciful history of the > > future: > > > > Moore's law holds, additional Mersenne primes are found, computers > > get faster and smaller until they are made of nearly pure lithium. > > The two s-orbital electrons are used for data and the p-orbital > > electron is used for structural stability. In this way, each lithium > > atom > So what's the answer :-) Aw ok, I'll calculate it myself :-) -- ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ : WWW: http://www.silverlink.net/poke : Boycott Microsot : : E-Mail: [EMAIL PROTECTED] : http://www.vcnet.com/bms : ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ________________________________________________________________ Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm ------------------------------ From: Spike Jones <[EMAIL PROTECTED]> Date: Tue, 23 Feb 1999 23:27:46 -0800 Subject: Re: Mersenne: so many primes, so little time... I set up the whole lithiverse thing as a joke, but look at it this way: if a proton were to become a tiny supercomputer, capable of dividing *any* two numbers, regardless of size, in one chronon (a chronon is the time required for light to traverse the diameter of a proton, or 1E-24 seconds, the smallest possible unit of quantized time) and store the result within that proton, and the entire universe were to be used to brute force trial factor a suspected Mersenne prime, and there are about 6E26 protons per kg and of course the universe consists of about 90% protons by mass, but assume every proton, neutron and electron were to become one of these chronon dividing supercomputers, and Sagan tells us there are billions and billions of stars in our galaxy, so lets just round it up to a trillion (1E15) and God knows how many galaxies there are, but again let us say a trillion of those. If all the above, the universe could check 1E115 (give or take a few orders of magnitude) possible factors each second. If Lucas Lehmer (or some such shortcut) were unknown, and brute force factoring were used, the above process would break down somewhere between the 14th and 15th Mersenne primes. The 14th, having 183 base 10 digits, could be trial factored by such a unverse in a small fraction of a second (ignoring the speed of light limitations of course) but the 15th Mersenne, with 386 base 10 digits, would require on the order of 1E193 divides, which would take the super- computer universe about 1E78 seconds, or about a trillion*trillion*trillion*trillion years, which is longer than, um... we have. So. If one think one's slow dog 486 computer isnt up to the task of Lucas Lehmer testing, check it out sometime by doing LL testing of the 15th Mersenne, 2^1279-1. Then ponder what that machine has just accomplished, compared to the (trillion)^4 years it would take for a universe such as ours where every proton, neutron and electron is a chronon supercomputer, without that wonderful shortcut. Thank you very much, Lucas and Lehmer. May you and all GIMPSers live for all eternity in mathematical nerdvana. Good night. {8^D spike ________________________________________________________________ Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm ------------------------------ From: brandon j whitehead <[EMAIL PROTECTED]> Date: Mon, 22 Feb 1999 07:43:52 -0600 Subject: Mersenne: Mersenne primes?? could somebody tell me exactly what the exact definition of a mersenne prime is. thanks in advance. brandon ps - does anybody know of any chaos theory mailing lists, and if so, would you mind sending me a link? thanks again ___________________________________________________________________ You don't need to buy Internet access to use free Internet e-mail. Get completely free e-mail from Juno at http://www.juno.com/getjuno.html or call Juno at (800) 654-JUNO [654-5866] ________________________________________________________________ Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm ------------------------------ From: Paul Derbyshire <[EMAIL PROTECTED]> Date: Thu, 25 Feb 1999 03:06:15 -0500 Subject: Re: Mersenne: Early China math predates Greeks At 11:37 AM 2/23/99 +0900, you wrote: >Dear all > >The following item can be found in Japan Times ST >on Friday, Feb. 26 1999. Not if you live in Ottawa, Canada. Can you give us an Internet URL so we can all read about this in more detail? I'd like to know what particular mathematical problems are being discussed, which your excerpt fails to say. - -- .*. "Clouds are not spheres, mountains are not cones, coastlines are not - -() < circles, and bark is not smooth, nor does lightning travel in a `*' straight line." ------------------------------------------------- -- B. Mandelbrot |http://surf.to/pgd.net _____________________ ____|________ Paul Derbyshire [EMAIL PROTECTED] Programmer & Humanist|ICQ: 10423848| ________________________________________________________________ Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm ------------------------------ End of Mersenne Digest V1 #513 ******************************
