21. Frequently Asked Questions About the mersenne prime Freeware. http://www.mersenne.org/faq.htm

Frequently Asked Questions NEW! Version 22! GIMPS Forums! This FAQ is not updated frequently, the GIMPS forums provide may provide a better way for you to search for answers or ask new questions and get answers from long-time GIMPS members. This page contains answers to some of the frequently asked questions about the Mersenne Prime Freeware. It answers questions about what the program does and how to use it. It does not answer questions about networking problems or questions about the PrimeNet server. For answer's to those questions visit the PrimeNet server's FAQ . You should also try the Mersenne mailing list FAQ which contains mainly math questions, but does have a few program related questions. General Questions Will the program interfere with my normal work? Will my computer have to be on all the time? What if my computer crashes? Will running my computer 24 hours a day shorten its lifespan? What are Mersenne primes? How are they useful? ... Can I participate if my computer doesn't have an Internet connection? Using the Program What does the screen output mean?

22. MathWorld News: New Mersenne Prime Announced MathWorld headline news New mersenne prime Announced. December 5, 2001 prime.The new mersenne prime has 4,053,946 digits. For those http://mathworld.wolfram.com/news/2001-12-05_mersenne/

New Mersenne Prime Announced December 5, 2001Today, the number 2 - 1 was announced to be a Mersenne prime, making it the largest such number to be discovered to date. This news followed a November 14 report to the mailing list of the GIMPS project that a new unspecified Mersenne number had passed the Lucas-Lehmer test , identifying it as a prime number. Mersenne numbers are numbers of the form M n n - 1. For example, M - 1 = 127 is a Mersenne number. The study of such numbers has a long and interesting history, and the search for Mersenne numbers that are prime (so-called Mersenne primes ) has been a computationally challenging exercise requiring the world's fastest computers. The complete list of indices n for previously known Mersenne primes is given by n = 2, 3, 5, 7, 13, 17, 19, 31, 61, 89, 107, 127, 521, 607, 1279, 2203, 2281, 3217, 4253, 4423, 9689, 9941, 11213, 19937, 21701, 23209, 44497, 86243, 110503, 132049, 216091, 756839, 859433, 1257787, 1398269, 2976221, 3021377, and 6972593 (Sloane's ). The last of these has a whopping 2,098,960 digits. However, the region between the last two previously known Mersenne primes has not been completely searched, so it is not known if

23. The Mersenne Prime Homepage Nayan Hajratwala, George Woltman, Scott Kurowski, et. al. found the largest MersennePrime ever! It is . It is believed to be the 38th mersenne prime. http://www.albanyconsort.com/mersenne/mersenne.html

Mersenne Primes Nayan Hajratwala, George Woltman , Scott Kurowski, et. al. found the largest Mersenne Prime ever! It is . It is believed to be the 38th Mersenne Prime. It was found by a program by the Great Internet Mersenne Prime Search My club, GIMPS , has the program, called Prime, or Prime 95, by George Woltman Visit the mailing list of Mersenne Primes . P. S. If you don't want a lot of e-mail DON'T click here. Yes. I'm a member of that, too. From one year to the next, the largest prime number is usually a Mersenne prime, because they are much easier to check. Mersenne primes, and Mersenne numbers in general, were discovered by the French monk Marin Mersenne, who is depicted in the picture above. There are two main ways to find these numbers: one is to use a supercomputer, such as a Cray T3E. The other way is get a lot of personal computers together. This is what George Woltman did. There are now over 6000 participants in George's Mersenne club. David Slowinsky might never find another Mersenne prime. George's club has found the last four: , and and has also completed various other search goals, such as proving that M32, 33, 34, and 35 are the numbers we originally expected that they were, by testing all the ones in between.

24. Factoids > Mersenne Prime Susan Stepney's Home Page factoid index mersenne prime. A prime numberof the form. Each mersenne prime corresponds to an even perfect number. http://www-users.cs.york.ac.uk/~susan/cyc/m/mersenne.htm

Mersenne prime A prime number of the form where p is prime. The Mersenne number Mp is prime for exponent p For all other prime exponents less than Mp is composite, and for those less than 10,412,700 it is probably composite. ... it is the greatest that will ever be discovered for, as they are merely curious without being useful, it is not likely that any person will attempt to find one beyond it. Peter Barlow 1811, on M Mersenne numbers have a particulary simple test for primality, the Lucas-Lehmer test The number-theoretic interest in Mersenne primes comes from the following theorem: if m and n are natural numbers, with n greater than 1, and if m n -1 is prime, then m is 2 and n is prime. Each Mersenne prime corresponds to an even perfect number The GREAT Internet Mersenne Prime Search help find another Mersenne prime! Chris Caldwell's Mersenne Primes Page history, lists, theorems, conjectures, ... Luke Welsh's Marin Mersenne Page biographies, prime number lists, algorithms, bibliography, ...

25. Internet PrimeNet Server PrimeNet is a distributed computing project for the Great Internet mersenne prime Search, coordinating the assignment of work and collection of results. http://www.entropia.com/ips

Entropia's Internet PrimeNet Server Parallel Technology for the Great Internet Mersenne Prime Search 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 Free Participation Software Software for your Computer Proxy Service Software for LAN Gateways How to Get Peak Performance News, Information GIMPS PrimeNet News Newsletter Registration About PrimeNet PrimeNet Project Credits v22.12 Mersenne Research Software Released 8 November 2002 - GIMPS distributes v22.12 update of Prime95 Download from Mersenne.org or Entropia.com Even faster primality tests on Mersenne numbers to almost 24 million digits long, v19 opens up the first organized attempt to tackle the second Electronic Frontier Foundation Cooperative Computing Award for $100,000.00

26. Team Prime Rib A distributed computing team dedicated to finding mersenne prime numbers. http://www.teamprimerib.com/

PrimeNet Report Mailing List Chat Room Forum ... Guest Book Stats Factored LL Tested P-1 Tested Trial Factored Current Ranks Factoring LucasLehmer Seventeen or Bust TSF Dist. Folding ... TAM DPAD Final Ranks TVM ECCp-109 TBR RC5-64 Our Friends Ars Technica Free-DC Ars Super Computer Factoring Calculator ... Newest Prime95 Client Comments? Xyzzy Credits Site Design Stats Gods robreid bayanne Domain Name Benefactor bayanne "How To Join" Author Factoring Calculator Author outlnder "Chat Room" Author LadenEdge Logo Designer XenoCyber Orphanage Director Mailing List Manager Garo Public Relations Lumly Team Scientist Gauntlet Manager PageFault "Year A Week" Manager kenlow Forum Manager Wednesday, March 12, 2003 Overtake report... Yummy!!! Posted @ 17:00:00 EST by paulie Primality Testing Overtake Report Last Run Date : 12-Mar-2003 19:10 UTC (Mar 12 2003 11:10 PST) PrimeNet Report Date : 12-Mar-2003 19:00 UTC (Mar 12 2003 11:00 PST) Rank Team P90 CPU years 7 Day Output Overtake 30 Day Output Overtake Days Date Days Date curtisc 31-Mar-2003 12-Apr-2003 Wednesday, March 5, 2003 Congrats to Kenlow!!!!

27. Gordon Spence's Bungee Canada Nitro Mersenne Prime Record GIMPS Personal site showing pictures and details about the author and his family. Also contains drag racing Category Regional Europe Rugeley Society and Culture...... Key Resource Links 2 Go Key Resource Number Theory Topic. Maths is Fun. MersennePrime Discoverer Read about my discovery . Find out more about us http://www.rugeley.demon.co.uk/

Gordon Spence's Corner of the Web This page has registered hits Local time (GMT) Links Go Key Resource Number Theory Topic Maths is Fun Read about my discovery.... Find out more about us... Click on a picture.... A very unnoficial publication... Sport I can be contacted at gordon@rugeley.demon.co.uk I prefer mail to be encrypted with PGP, here is my public key PGP Public Key These pages designed and maintained by the WebMaster. If you have comments then please contact him Thursday 4th February 1999

28. Mersenne Prime Numbers mersenne prime Numbers. mersenne prime numbers are numbers of the form. Indeed, atpresent only 39 mersenne prime numbers are known. They are obtained by letting. http://www.math.utah.edu/~alfeld/math/mersenne.html

Understanding Mathematics by Peter Alfeld, Department of Mathematics, University of Utah Mersenne Prime Numbers Mersenne prime numbers are numbers of the form For m to be prime, p itself must be prime, but that is not sufficient. Indeed, at present only 39 Mersenne prime numbers are known. They are obtained by letting p Note that for example so that for p = 11 we do not obtain a prime number. The largest prime number known is a Mersenne prime number. Mersenne prime numbers have their own web site which is dedicated to a netwide search for Mersenne prime numbers and related tasks. Fine print, your comments, more links, Peter Alfeld, PA1UM [06-Aug-1999]

29. The Largest Known Prime Number The 39th mersenne prime m 39 = 2 13,466,917 1 is the largest known primenumber (as of the time of this writing, December 256, 2002). http://www.math.utah.edu/~alfeld/math/largeprime.html

Understanding Mathematics by Peter Alfeld, Department of Mathematics, University of Utah The Largest Known Prime Number The 39th Mersenne prime m is the largest known prime number (as of the time of this writing, December 256, 2002). In the decimal system it requires 4,053,946 digits to be written fully. Most of this page is taken up by those digits. You can appreciate the size of this number, and perhaps have a psychedelic experience, by scrolling this page across your screen. If you find that the last digit is even then this file was accidentally truncated in the process of downloading it! Mersenne prime numbers have their own web site which is dedicated to a netwide search for Mersenne prime numbers and related tasks. m Fine print, your comments, more links, Peter Alfeld, PA1UM

30. Mersenne Prime Numbers The concept of a mersenne prime is evolved from that of a perfect number. Letp be a prime and Mp = 2p 1 the pth Mersenne number. http://www.resort.com/~banshee/Info/mersenne.html

Mersenne Primes Marin Mersenne (1588-1648) was a Franciscan friar who lived most of his life in Parisian cloisters. He was the author of Cognitata Physico-Mathematica which stated without proof that M p is prime for p = 2, 3, 5, 7, 13, 17, 19, 31, 67, 127, and 257 and for no other primes p for p < 257. It took over 300 years to totally settle this claim made by Mersenne. The final work done in 1947 showed that Mersenne made five errors in his work (namely that M is prime, M is composite, M is prime, M is prime, and M is composite). Besides his famous statement about primes of the form M p , Mersenne contributed to the development of number theory through his extensive correspondence with many mathematicians, including Fermat. Mersenne effectively served as a clearing house and a disseminator of new mathematical ideas in the 17th century. Kenneth Rosen, Elementary Number Theory; Addison Wesley The concept of a Mersenne Prime is evolved from that of a perfect number . A perfect number is an integer for which the sum of its divisors is twice the number. For example: (6) = 1 + 2 + 3 + 6 = 12 = 2*6 thus 6 is a perfect number.

31. Mersenne Prime Mailing List mersenne prime Mailing List SignUp Sheet. One ongoing topic is thesearch for the next mersenne prime. The list is unmoderated. http://ndatech.com/mersenne/signup.htm

Mersenne Prime Mailing List Sign-Up Sheet The Mersenne Prime Mailing List was created to facilitate communication between those interested in all aspects of Mersenne Primes. One ongoing topic is the search for the next Mersenne Prime. The list is unmoderated. You can read all of the old posts in the list's older archives . You can also find some of the list's older digest archives and a recent searchable achive You are encouraged to read the FAQ before posting. This list is made possible by web pioneer Gordon Irlam who has generously configured his machine, base.com , to host the list. Thank you, gordoni! It is important to understand that there are THREE email addresses: the list itself is mersenne @base.com, send messages to everybody list maintenance is mersenne- request @base.com, ask to get on or off the list list maintenance is mersenne-digest- request @base.com, ask to get on or off the magazine version If you are having problems, there is a fourth address where you can ask the people running the list for help. Send email to: Me: marin@ndatech.com

32. Mersenne Prime - Wikipedia mersenne prime. From Wikipedia, the free encyclopedia. A Mersenneprime is a prime number that is one less than a power of two. http://www.wikipedia.org/wiki/Mersenne_prime

Main Page Recent changes Edit this page Older versions Special pages Set my user preferences My watchlist Recently updated pages Upload image files Image list Registered users Site statistics Random article Orphaned articles Orphaned images Popular articles Most wanted articles Short articles Long articles Newly created articles All pages by title Blocked IP addresses Maintenance page External book sources Printable version Talk Log in Help Other languages: Slovensko Mersenne prime From Wikipedia, the free encyclopedia. A Mersenne prime is a prime number that is one less than a power of two. For example, 3 = 4-1 = 2 -1 is a Mersenne prime. So is 7 = 8-1 = 2 -1. But 15 = 16-1 = 2 -1 is not a prime. Fast algorithms for finding Mersenne primes are available, and this is why the largest known prime numbers today are Mersenne primes. Mersenne primes have a deep connection to perfect numbers , which are numbers that are equal to the sum of their proper divisors. Historically, the study of Mersenne primes was motivated by this connection. In the 4th century BC Euclid demonstrated that if M is a Mersenne prime then M(M+1)/2 is a perfect number. Two millennia later, in the

33. Mersenne Prime - A Whatis Definition mersenne prime A Mersenne (also spelled Marsenne) prime is a specifictype of prime number. It must be reducible to the form 2 n http://www.whatis.com/definition/0,,sid9_gci788348,00.html

Search our IT-specific encyclopedia for: or jump to a topic: Choose a topic... CIO CRM Databases Domino Enterprise Linux IBM S/390 IBM AS/400 Networking SAP Security Solaris Storage Systems Management Visual Basic Web Services Windows 2000 Windows Manageability Advanced Search Browse alphabetically: A B C D ... General Computing Terms Mersenne prime A Mersenne (also spelled Marsenne) prime is a specific type of prime number . It must be reducible to the form 2 n - 1, where n is a prime number. The term comes from the surname of a French monk who first defined it. The first few known values of n that produce Mersenne primes are where n n n n n n n n n = 61, and n With the advent of computers to perform number-crunching tasks formerly done by humans, ever-larger Mersenne primes (and primes in general) have been found. The quest to find prime numbers is akin to other numerical searches done by computers. Examples are the decimal expansions of irrational number s such as pi (the circumference-to-diameter ratio of a circle) or e (the natural logarithm base). But the 'next' (unknown today, known tomorrow) prime is more difficult to find than the 'next' digit in the expansion of an irrational number. It takes the most powerful computer a long time to check a large number to determine if it is prime, and an even longer time to determine if it is a Mersenne prime. For this reason, Mersenne primes are of particular interest to developers of strong

34. Mersenne Prime Search At TechDictionary.com mersenne prime Search. What is the Great Internet mersenne prime Search? Thoughouthistory, the largest known prime number has usually been a mersenne prime. http://www.techdictionary.com/resources/mersenne.html

Home Search Search Tips Domain List ... About/Site Map Mersenne Prime Search What is the Great Internet Mersenne Prime Search? You could discover one of the most coveted finds in all of Mathematics - a new Mersenne prime number. Join in on this fun, yet serious research project. All you need is a personal computer and a lot of luck. The Electronic Frontier Foundation is offering a $100,000 award to the first person to discover a ten million digit prime number! Later this year, we will make available free software where you can find such a prime number along with details on how the award money will be divided. The Great Internet Mersenne Prime Search (GIMPS) harnesses the power of thousands of small computers like yours to solve the seemingly intractable problem of finding HUGE prime numbers. Specifically, GIMPS looks for Mersenne Primes, expressed by the formula 2P-1. Over 8,000 people have contributed computer time to help discover world-record Mersenne primes. Thoughout history, the largest known prime number has usually been a Mersenne prime. Instructions: Step One: Download the free software You can join this search by downloading the free software provided. The search is coordinated by a central server, called

35. Mersenne Prime Search - German Mirror Translate this page GIMPS, die Große Internetsuche nach Mersenne'schen Primzahlen (Great Internet MersennePrime Search), wurde im Januar 1996 geformt um neue, rekordverdächtig http://www7.brinkster.com/haugh/prime/

Die Deutsche GIMPS Homepage Pages available in Danish Dutch French Italian ... Polish , and Spanish . Warning: These translations may not be up-to-date. If in doubt, go to the real GIMPS Home Page 39ste Mersenne'sche Primzahl entdeckt!! Chris Caldwell, der webmaster der Prime Pages hat diesen tollen Artikel geschrieben (Englisch). Dieser BBC Artikel brachte als erster die Nachricht heraus (Englisch). Ein guter Artikel in Deutsch Pressemeldung (Englisch). Schreib Mathe-Geschichte!! Neben der Freude einer mathematischen Entdeckung hast Du auch die Chance etwa Geld zu gewinnen. Die Electronic Frontier Foundation hat eine Preis von dieser Seite Was sind Mersenne'sche Primzahlen and warum suchen wir nach ihnen? 10 z.B. ist keine Primzahl, denn 10 ist durch 2 und 5 teilbar. Eine Mersenne'sche Primzahl ist eine Primzahl der Form 2 P -1. Die ersten Mersenne'schen Primzahlen sind 3, 7, 31, 127, usw. Zur Zeit sind nur 38 Mersenne'sche Primzahlen bekannt. Inhalt dieser Wenseite Die Wie's geht Die Download -Seite hat die freie Software zum Runterladen. Die Frage / Antwort -Seite hat Antworten auf einige oft gestellte Fragen.

36. Mersenne Prime Search - German Mirror This domain was created as a home for the Great Internet MersennePrime Search (GIMPS). The Great Internet mersenne prime Search. http://www7.brinkster.com/haugh/prime/projects.asp

Andere Computerprojekte Pages available in Danish Dutch French Italian ... Polish , and Spanish . Warning: These translations may not be up-to-date. If in doubt, go to the real GIMPS Home Page This domain was created as a home for the Great Internet Mersenne Prime Search (GIMPS). Mersenne primes are named after the French monk Marin Mersenne . In his day, Marin Mersenne acted as great facilitator among the mathematicians and scientists of his day. In his honor, I have collected links to other distributed math and science projects that you can participate in. You do not need to be a math or science whiz to join in the fun. Links about distributed computing This German web site has many pointers to distributed computing projects. Kirk Pearson maintains a very comprehensive web site on distributed computing. jc-news describes distributed computing and reviews several projects. Bottomquark also reviews several distributed computing projects. Links to several distributed computing projects Entropia.com is running several projects in medical, environmental, economics, and scientific

37. Largest Known Mersenne Prime Largest known mersenne prime. mersenne primes are primes of the form . For tobe prime we must have that p is prime. is prime. It was discovered in 1997. http://db.uwaterloo.ca/~alopez-o/math-faq/node28.html

Next: Largest known prime Up: Prime Numbers Previous: Prime Numbers Largest known Mersenne prime Mersenne primes are primes of the form . For to be prime we must have that p is prime. is prime. It was discovered in 1997. Alex Lopez-Ortiz Mon Feb 23 16:26:48 EST 1998

38. Largest Known Prime next up previous contents Next Largest known twin primes Up Prime NumbersPrevious Largest known mersenne prime. Largest known prime. http://db.uwaterloo.ca/~alopez-o/math-faq/node29.html

Next: Largest known twin primes Up: Prime Numbers Previous: Largest known Mersenne prime Largest known prime The largest known prime is the Mersenne prime described above. The largest known non-Mersenne prime, is , discovered by Brown, Noll, Parady, Smith, Smith, and Zarantonello. You can help find more primes. For more information see: The Great Internet Mersenne Prime Search home page on http://www.mersenne.org References Brown, Noll, Parady, Smith, Smith, and Zarantonello. Letter to the editor. American Mathematical Monthly, vol. 97, 1990, p. 214. Alex Lopez-Ortiz Mon Feb 23 16:26:48 EST 1998

39. ThinkQuest Library Of Entries Huge prime numbers are the bounty of the Great Internet mersenne primeSearch. Great Internet mersenne prime Search. page 1 2. Fig. http://library.thinkquest.org/C007645/english/2-mersenne-0.htm

Welcome to the ThinkQuest Internet Challenge of Entries The web site you have requested, Distributed Computing , is one of over 4000 student created entries in our Library. Before using our Library, please be sure that you have read and agreed to our To learn more about ThinkQuest. You can browse other ThinkQuest Library Entries To proceed to Distributed Computing click here Back to the Previous Page The Site you have Requested ... Distributed Computing click here to view this site A ThinkQuest Internet Challenge 2000 Entry Click image for the Site Languages : Site Desciption Our website focuses on how distributed computing helps with research in scientific and technical fields. Its inexpensive cost and computing power is drawn from thousands of users across the Internet. It also looks at computer networks, distributed computing on a smaller scale, and how the real world uses them, from service delivery networks to library terminals. Students Lindsey Redlands East Valley HS CA, United States Steven Redlands East Valley HS CA, United States

40. Slashdot | (Mostly) Confirmed: New Mersenne Prime Found (Mostly) Confirmed New mersenne prime Found. until the 10 milliondigit mersenne prime is found, if one exists. very interesting http://slashdot.org/science/01/11/14/1849203.shtml

OSDN Our Network DevChannel Newsletters ... Shop Slashdot All OSDN Sites freshmeat DevChannel Linux.com LinuxGram NewsForge OSDN.com OSDN PriceCompare Slashcode SourceForge.net X faq code awards ... hof Sections apache Mar 7 apple Mar 18 (4 recent) askslashdot Mar 18 (5 recent) books Mar 17 (1 recent) bsd Mar 16 (2 recent) developers Mar 17 (4 recent) features Mar 17 (1 recent) interviews Mar 17 (1 recent) radio Jun 29 science Mar 17 (3 recent) yro Mar 17 (7 recent) (Mostly) Confirmed: New Mersenne Prime Found Posted by Hemos on Wednesday November 14, @03:18PM from the one-more-down-another-to-go dept. A reader writes "Distributed computing seems once more to be succesful. The combined effort of many pc's joining Primenet in search for a new Mersenne prime may have found there fifth result. Among them many belonging to /. readers. There is an unconfirmed claim for Mersenne prime #39 of over 3,500,000 digits, for which a considerable amount of money has been awarded SETI looks for ET's messages, but found none sofar. Mersenne primes are used to tell ET about us . A previous found Mersenne number was used to show the advance of science on our planet in a message send into outer space The Primenet list has confirmed that while they still need to totally test it out (which should be done by the 24th), they believe that the number found today is the 39th positive.

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