41. Mersenne: Mersenne Prime #39 Mersenne mersenne prime 39. It looks like we've found the 39th knownmersenne prime not a hacking attempt. Well done everyone! http://www.mail-archive.com/mersenne@base.com/msg06546.html

mersenne Chronological Find Thread Mersenne: Mersenne prime #39 From: George Woltman Subject: Mersenne: Mersenne prime #39 Date: Wed, 14 Nov 2001 09:58:34 -0800 http://www.ndatech.com/mersenne/signup.htm Mersenne Prime FAQ http://www.tasam.com/~lrwiman/FAQ-mers Mersenne: Mersenne prime #39 George Woltman Re: Mersenne: Mersenne prime #39 Gerry Snyder Chronological Thread Reply via email to

42. Re: Mersenne: Mersenne Prime #39 Re Mersenne mersenne prime 39. It looks like we've found the 39th known Mersenneprime not a hacking attempt. Well done everyone! Hooray for us! http://www.mail-archive.com/mersenne@base.com/msg06554.html

mersenne Chronological Find Thread Re: Mersenne: Mersenne prime #39 From: Gerry Snyder Subject: Re: Mersenne: Mersenne prime #39 Date: Wed, 14 Nov 2001 21:19:46 -0800 mailto:gerrysnyder@mediaone.net my work: helping generate data for: http://galileo.jpl.nasa.gov/ http://www.ndatech.com/mersenne/signup.htm Mersenne Prime FAQ http://www.tasam.com/~lrwiman/FAQ-mers Re: Mersenne: Mersenne prime #39 Gerry Snyder Chronological Thread Reply via email to

43. Plot Of Mersenne Prime Discoveries Plot of mersenne prime Discoveries. http://pw1.netcom.com/~hjsmith/Perfect/MerDPlot.html

Plot of Mersenne Prime Discoveries Return to Perfect Numbers Return to Harry's Home Page This page accessed times since Sep 1, 1999.

44. Jim's Prime Page GIMPS banner. The Great Internet mersenne prime Search. A MersennePrime is a prime number that is one less than a power of two. http://pw1.netcom.com/~jrhowell/math/prime.htm

My Page about Prime Numbers This page uses sub scripts and super subscripts and superscipts in this sentence, you may have difficulty reading this page. The Great Internet Mersenne Prime Search On November 14, 2001, GIMPS, the , found its fifth Mersenne Prime, namely: which has 4,053,946 digits. For more details, see the GIMPS announcement Previously, GIMPS found the Mersenne primes: (2,098,960 digits) on June 1, 1999. This was the first known prime number with more than 1,000,000 digits. For details, see the GIMPS announcement (909,526 digits) in January, 1998. (895,932 digits) in August, 1997. (420,921 digits) in November, 1996. I have participated in GIMPS since about September of 1996. For more information on GIMPS, including how you can join the search, see the Mersenne Prime web site . This site also has links to other math-oriented projects. More about Prime Numbers A prime number is a number greater than 1, that is divisible only by itself and 1. The first few prime numbers are: 2, 3, 5, 7, and 11. A Mersenne Prime is a prime number that is one less than a power of two. That is, a number of the form: 2

45. Mersenne Prime Search Report For Deadlock mersenne prime Search report for deadlock. mersenne prime Search Work inprogress. Assignment, Completion date. Completed assignments. Date, Result. http://deadlock.et.tudelft.nl/~joris/primeresult.html

46. GIMPS Is The (Great Internet Mersenne Prime Search) GIMPS is the (Great Internet mersenne prime Search). One project that hasreturned several results is The Great Internet mersenne prime Search. http://ws9.jobnegotiator.com/html/gimps.html

GIMPS is the (Great Internet Mersenne Prime Search) External links GIMPS Home Page (SW) GIMPS Software (ftp) (IF) Dr. Caldwell's page (SW) Marin Mersenne (IF) ... GIMPS Top Producers (IF) Chapter links GIMPS Distributed Computing A bit of theory The start of GIMPS ... Monetary Awards Note: Some of the information on this page is direct copy of text from Dr. Chris K. Caldwell's Prime Pages , although restructured for my purpose. I highly recommend that anyone who wants to know more about primes read through his pages as they contain a wealth of information. GIMPS Over the last few years millions of computers have been crunching away the days and nights on many different distributed computing projects , looking for answers in the fields of mathematics, biotechnology and astronomy. These distributed computing projects are vast undertakings; even by breaking up the work into millions of smaller pieces running on several Terra Hertz (THz) of computing power, most of them have yet to return visible results. One project that has returned several results is The Great Internet Mersenne Prime Search The Great Internet Mersenne Prime Search, also known as GIMPS, is a prime example of distributed computing at work (no pun intended). The goal of the GIMPS project is as the name states, to find new Mersenne prime numbers. In all of history only

47. Mersenne Prime Numbers mersenne prime numbers are a special class of prime numbers that have the form,. A necessary condition for this number to be prime is that p is also prime. http://plabpc.csustan.edu/roger/Mersenne.html

Roger's Homepage Team Stats Team Performnce Join Team ... Brian's Site Mersenne prime numbers are a special class of prime numbers that have the form, . A necessary condition for this number to be prime is that p is also prime. Out of all the tested exponents, only 39 Mersenne primes have been identified. It is an open question whether there is a finite or infinite number of primes of this form. GIMPS (the Great Internet Mersenne Prime Search) is a distributed computing project that is systematically testing possible candidates to find Mersenne Primes. Brian Jue , Assistant Professor of Mathematics at CSU Stanislaus, coordinates a team to participate in the search. Computers in the Math, Physics, and Chemistry Departments, some of the campus computer labs and many student computers have been recruited for the project. The program runs in the background at the lowest priority it doesn't interfere with any other tasks or degrade system performance. You can see how the team is doing by clicking on Team Stats . Click on Join Team to find out how you can contribute your spare computer cycles. For more information contact

48. Great Internet Mersenne Prime Search GIMPS Great Internet mersenne prime Search. What is a mersenne prime? mersenne primesare those primes who have the notation 2 p -1 where p is a prime number. http://www.geocities.com/CapeCanaveral/Launchpad/4403/gimps.html

GIMPS- Great Internet Mersenne Prime Search GIMPS- The Great Internet Mersenne Prime is an organization of over 6000+ people donating their computer's CPU time toward find Mersenne Primes. To join, you must download a program called Prime95 (about 323K (900K unzipped), you must also have a program which opens .zip files) and register with the PrimeNet server, then you will be assigned numbers and you're set. What is a Mersenne Prime? Mersenne Primes are those primes who have the notation 2 p -1 where p is a prime number. Mersenne Primes are extremely rare, to date there is only 37 known Mersenne Primes, GIMPS has found the last three Mersenne Primes. List of all known Mersenne Primes! Milestones and Discoveries Thursday October 08, 1998 16:56:38 Joined GIMPS! Thursday October 15, 1998 20:01:14 Finished first factoring assignment. Wednesday October 28, 1998 17:16:00 -1 is divisble by 6939724926289389097 Eliminated 1 st exponent Saturday, November 28, 1998 10:27:15 Finshed first double-check assignment. -1 is composite.

49. List Of Mersenne Primes 1 st mersenne prime 2 2 1 Discovered Ancient times Dicoverer unknown Numberof digits 1 2 nd mersenne prime 2 3 -1 Discovered Ancient times Discoverer http://www.geocities.com/CapeCanaveral/Launchpad/4403/ListOfMP.html

List Of All Known Mersenne Primes st Mersenne Prime: 2 Discovered: Ancient times Dicoverer: unknown Number of digits: 1 nd Mersenne Prime: 2 Discovered: Ancient times Discoverer: unknown Number of digits: 1 rd Mersenne Prime: 2 Discovered: Ancient times Discoverer: unknown Number of digits: 2 th Mersenne Prime: 2 Discovered: Ancient times Discoverer: unknown Number of digits: 3 nd Mersenne Prime: 2 Discovered: 1456 Discoverer: anonymous Number of digits: 4 th Mersenne Prime: 2 Discovered: 1588 Discoverer: Cataldi Number of digits: 6 th Mersenne Prime: 2 Discovered: 1588 Discoverer: Cataldi Number of digits: 6 th Mersenne Prime: 2 Discovered: 1772 Discoverer: Euler Number of digits: 10 th Mersenne Prime: 2 Discovered: 1883 Discoverer: Pervushin Number of digits: 19 th Mersenne Prime: 2 Discovered: 1911 Discoverer: Powers Number of digits: 27 th Mersenne Prime: 2 Discovered: 1914 Discoverer: Powers Number of digits: 33 th Mersenne Prime: 2 Discovered: 1876 Discoverer: Lucas Number of digits: 39 th Mersenne Prime: 2 Discovered: 1952 Discoverer: Robinson Number of digits: 157 th Mersenne Prime: 2 Discovered: 1952 Discoverer: Robinson Number of digits: 183 th Mersenne Prime: 2 Discovered: 1952 Discoverer: Robinson Number of digits: 386 th Mersenne Prime: 2 Discovered: 1952 Discoverer: Robinson Number of digits: 664 th Mersenne Prime: 2 Discovered: 1952 Discoverer: Robinson Number of digits: 687 th Mersenne Prime: 2 Discovered: 1957 Discoverer: Riesel Number of digits: 969 th Mersenne Prime: 2 Discovered: 1961

50. New Mersenne Prime Found New mersenne prime Found. Prev Contents Next Gordon Spence, using theGIMPS (Great Internet mersenne prime Search) program (written http://www.math.ncsu.edu/undergrad/Newsletter/v3.3/art02.html

New Mersenne Prime Found Prev Contents Next Gordon Spence, using the GIMPS (Great Internet Mersenne Prime Search) program (written by George Woltruan) and a Pentium machine, recently discovered that is prime This number has almost 900,000 digits and is now the largest known prime number. For more information on this discovery and on Mersenne primes, check out the MAA Online at ( http://www.MAA.org/news/mersenne.html

51. The Great Internet Mersenne Prime Search The Great Internet mersenne prime Search. GIMPS, founded by George pis a prime. A mersenne prime is a Mersenne number which is prime. http://www.math-cs.cmsu.edu/~gimps/gimps.html

The Great Internet Mersenne Prime Search GIMPS , founded by George Woltman in January of 1996, is dedicated to the rigorous search for new Mersenne primes. A Mersenne number is any number of the form 2 p - 1 where p is a prime. A Mersenne prime is a Mersenne number which is prime. Gimps connects the pure research of finding new Mersenne primes with the technology of the computer. The goal of GIMPS is to test the primality of every Mersenne number with an exponent less than 20,500,000. GIMPS uses a program written by Woltman that implements the Lucas-Lehmer Test and multiplies using Fast Fourier Transforms along with network software and the PrimeNet server developed by Scott Kurowski and the company Entropia . Over 12,000 number theory enthusiasts have harnessed thousands of small computers to search for these huge prime numbers using Woltman's program. GIMPS has now found the four largest known Mersenne primes. The following list gives these four Mersenne primes, their discoverer, and the date of their discovery. -1 Joel Armengaud, George Woltman, GIMPS November 13, 1996

52. About "Mersenne Prime Digits And Names" mersenne prime Digits and Names. Visit this site http//www.isthe.com/chongo/tech/math/prime/mersenne.html.Author Landon Curt Noll. http://mathforum.org/library/view/61348.html

Mersenne Prime Digits and Names Library Home Full Table of Contents Suggest a Link Library Help Visit this site: http://www.isthe.com/chongo/tech/math/prime/mersenne.html Author: Landon Curt Noll Description: Tables of known Mersenne prime numbers: discovery dates, digit counts, decimal digits (American and European styles), English names, and English names with numbers. Levels: High School (9-12) College Languages: English Math Topics: Prime Numbers Suggestion Box Home The Math Library ... Search http://mathforum.org/ webmaster@mathforum.org

53. About "Mersenne Prime Freeware" mersenne prime Freeware. Library Home Full Table of Contents Suggesta Link Library Help Visit this site http//www2.netdoor http://mathforum.org/library/view/6192.html

Mersenne Prime Freeware Library Home Full Table of Contents Suggest a Link Library Help Visit this site: http://www2.netdoor.com/~acurry/mersenne/freeware.html Author: Conrad Curry Description: An extensive list of software, with descriptions, for various operating systems, as well as libraries and developer-oriented links. Levels: High School (9-12) College Research Languages: English Resource Types: Archives/Download Sites Topic Tools Miscellaneous Math Topics: Prime Numbers Suggestion Box Home The Math Library ... Search http://mathforum.org/ webmaster@mathforum.org

54. Joe And The Great Internet Mersenne Prime Search (GIMPS) particular. George Woltman has organized the Great Internet MersennePrime Search, which I've been a part of for several months. http://www.alumni.caltech.edu/~decker/prime.html

Searching for Big Prime Numbers I have always been a fan of large prime numbers, and Mersenne Primes in particular. George Woltman has organized the Great Internet Mersenne Prime Search , which I've been a part of for several months. He has over 17,000 people looking for the largest known prime numbers, using PCs. It's a great story, and a great use of those idle PC cycles. Since its inception, GIMPS has been responsible for finding the last three world-record prime numbers. Of course, I'm sure that the reason I've told you all this has nothing to do with my being one of the Top Producers, currently ranked just inside of the top hundred overall in terms of total contribution of compute cycles to Mersenne Prime finding ever. By the way, it only takes a few minutes to retrieve and install George's software on Windows, Linux, OS/2 or PowerMac systemsyou might want to give it a try and take a shot at entering the history books! For more information on Mersenne Primes and large primes, I'm pretty fond of the book The Little Book of Big Primes,

55. GIMPS (Great Internet Mersenne Prime Search) GIMPS (Great Internet mersenne prime Search). GIMPS INFO. Using a largenumber of computers working together in a distributed computing http://gilchrist.ca/jeff/distrib-gimps.html

GIMPS (Great Internet Mersenne Prime Search) GIMPS INFO Using a large number of computers working together in a distributed computing system, GIMPS is attempting to map all Mersenne primes starting from 0. If you are interesting in getting more information about GIMPS or would like to help by donating some idle CPU time, click here CURRENT GIMPS STATUS CURRENT JEFF GILCHRIST STATUS Mersenne PrimeNet Server 4.0 (Build 4.0.031) Individual Account Report 03 Oct 1999 15:54 (Oct 3 1999 8:54AM Pacific) All dates and times are Coordinated Universal Time (UTC) Account ID LL P90* Exponents Fact.P90 Exponents P90 CPU CPU yrs LL Tested CPU yrs* w/ Factor hrs/day - - - - jeffg 2.172 16 0.006 26.88 Contact name : Jeff Gilchrist Contact e-mail : jeffg@cips.ca Receive e-mail : YES Last activity : 13 Aug 1999 15:17 UTC Account created: 23 Oct 1997 15:48 UTC *P90 CPU time according to Woltman/Kurowski formulation. Calibrated by benchmark P5 90Mhz, 32.98 MFLOP units: 25658999 FLOP/0.778s (256k FFT). (c)1997-1999 Entropia.com CURRENT JEFF GILCHRIST RANKING Mersenne PrimeNet Server 3.1 (Build 3.1.282) Top Producers Report 99-Jan-10 20:02 (Sun Jan 10 12:02 Pacific) This report is updated every 60 minutes Rank Account ID LL P90* Exponents Fact.P90 Exponents P90 CPU CPU yrs LL Tested CPU yrs* w/ Factor hrs/day - - - - - 1747. RobGreene 2.176 7 0.000 164.30 1748. S00877 2.173 13 1.791 55 57.97 1748. S05188 2.173 8 0.004 84.38

56. The Great Internet Mersenne Prime Search - Mit.jyu.fi mersenne prime Search The Great Internet mersenne prime Search. Theaccount ID mit.jyu.fi represents PC computers running NTPrime http://kurki.mit.jyu.fi/gimps/

The Great Internet Mersenne Prime Search The account ID mit.jyu.fi represents PC computers running NTPrime and mprime at the Department of Mathematical Information Technology and the Department of Mathematics of University of Jyväskylä , Finland. The total amount of computing power consists of computers as follows: Amount Processor Clock freq. OS P-II 400 MHz Win NT4 Celeron 500 MHz Win 2000 Unix machine 333 MHz SunOS 5.7 1233 MHz mit.jyu.fi Rank: 280., 272 LL Tests completed, 6 factors found, P90 CPU: 122.115 LL + 0.873 fact. = 122.988 Years total Current status of the account ID mit.jyu.fi (updated 18-Mar-2003 05:00 FLE Daylight Time). Various graphs of account ID mit.jyu.fi The decimal expansion of the world's largest known prime, 2 (4162 kB). To main page

57. Etext: The 32nd Mersenne Prime The 32nd mersenne prime Entry 69 by (Math Constants) plain text format;Gnu gzip format; Unix Compress format; infozip/pkzip format. http://www.gutenberg.org/index/by-title/xx19.html

The 32nd Mersenne Prime Entry: 69 by (Math Constants) plain text format Gnu gzip format Unix Compress format info-zip/pkzip format

58. The Great Internet Mersenne Prime Search - Team ArjenRodenhuis http://arjenmax.net/gimps/

59. Internet PrimeNet Server Entropia's Internet PrimeNet Server Parallel Technology for the GreatInternet mersenne prime Search This Page Updated Every Hour http://216.120.70.80/primenet/

Entropia's Internet PrimeNet Server Parallel Technology for the Great Internet Mersenne Prime Search This Page Updated Every Hour PrimeNet World Test Status Updated Hourly PrimeNet Individual Account Reports PrimeNet Top Producers Awards Updated Hourly PrimeNet News and Information PrimeNet Statistics Charts PrimeNet Frequently Asked Questions GIMPS Home Serious research. Totally for fun. Join a search of mathematical discovery and become a part of Internet history. USD $100,000.00 Research Discovery Contest About PrimeNet Free Research Contest Software ... Newsletter Registration Great Internet Mersenne Prime Search: Powered by Entropia GIMPS PrimeNet is a world-wide, distributed Internet research computing community created in 1997 by Entropia for the Great Internet Mersenne Prime Search (GIMPS). PrimeNet is a virtual machine application of the Entropia Network, with operations, end-user technical support and CPU time accounting provided by Entropia. For further information, please email info@entropia.com

60. Frank's Great Internet Mersenne Prime Search Page Translate this page Frank's Great Internet mersenne prime Search Page. http://gimps.de.vu/

Frank's Great Internet Mersenne Prime Search Page P Frank's Great Internet Mersenne Prime Search Page P

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