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
SS > Factoids > Mersenne Prime home factoids mersenne prime. mersenne prime. A prime number of the formwhere p is prime. Each mersenne prime corresponds to an even perfect number. http://www-users.cs.york.ac.uk/~susan/cyc/m/mersenne.htm
Extractions: home factoids A prime number of the form where p is prime. ... 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, ...
Extractions: In mathematics , a Mersenne prime is a prime number that is one less than a power of two More generally, Mersenne numbers (not necessarily primes, but candidates for primes) are numbers that are one less than a prime power of two; hence, Mersenne primes have a close 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 18th century Euler proved that all even perfect numbers have this form. No odd perfect numbers are known, and it is suspected that none exist. It is currently unknown whether there is an infinite number of Mersenne primes. The calculation shows that M n can be prime only if n itself is prime, which simplifies the search for Mersenne primes considerably. But the converse is not true; M n may be composite even though n is prime. For example, 2
Extractions: The Great Internet Mersenne Prime Search , or GIMPS , is a collaborative project of volunteers, who use Prime 95 and MPrime , special open source software that can be downloaded from the Internet for free, in order to search for Mersenne prime numbers . The project was founded and the prime testing software was written by George Woltman Scott Kurowski wrote the PrimeNet server that supports the research to demonstrate Entropia distributed computing software, a company he founded in 1997. This project has been rather successful, although seemingly useless: it has found a total of 7 Mersenne primes , each of which was the largest known prime at the time of discovery. The largest known prime as of May , is 2 Josh Findley . Refer to the article on Mersenne primes numbers for the complete list of GIMPS successes As of March , GIMPS has a sustained throughput of approximately 14 teraflops Technically the GIMPS software is not open source , since it has a restriction which most open source/ free software EFF prizes are claimed.
Extractions: Number Theory Topic On Sunday 24 th August 1997 I found the 36 th Mersenne Prime at the time it was the world's largest known prime number. It took my Pentium 100 PC fifteen days to prove the number prime. David Slowinski has verified the result on a Cray T90 Supercomputer. This new number is digits in length. George Woltman's announcement Chris Caldwell's announcement Read about it in Science News Article in the London Times ... CNN Article Please note though that I was just the lucky one of over 4500 volunteers all searching for these gigantic numbers, why not join us...... Stands for the Great Internet Mersenne Prime Search, and is a world wide project involving over 4500 participants (@ September 1998), coordinated by George Woltman who maintains the GIMPS site and Scott Kurowski who runs the Primenet Internet Server . Every member of the group runs some Free Software Please note that this size of task would have previously only been possible on large Supercomputers such as the Cray that was used to verify this result, but by running the software on thousands of individual machines we can collectively surpass the power of even the most powerful supercomputer.
40th Mersenne Prime Confirmed here. 40th mersenne prime confirmed You count them in, you count themout again. By INQUIRER staff Tuesday 02 December 2003, 2148. http://www.theinquirer.net/?article=12985
40th Mersenne Prime Found unsubscribe here. Advert. 40th mersenne prime found Needs verifyingyet. By INQUIRER staff Tuesday 18 November 2003, 1444. Tyan http://www.theinquirer.net/?article=12732
New Scientist student at Michigan State University used his office computer to contribute spareprocessing power to the Great Internet mersenne prime Search (GIMPS). http://www.newscientist.com/news/news.jsp?id=ns99994438
Mersenne Prime 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
Extractions: 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 encryption methods.
Mersenne Prime mersenne prime. A mersenne prime is a prime number that is one less than apower of two. mersenne prime Search home page http//www.mersenne.org. http://www.fact-index.com/m/me/mersenne_prime.html
Extractions: Main Page See live article Alphabetical index A Mersenne prime is a prime number that is one less than a power of two Mersenne primes have a close 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 18th century Euler proved that all even perfect numbers have this form. No odd perfect numbers are known, and it is suspected that none exist. It is currently unknown whether there is an infinite number of Mersenne primes. More generally, Mersenne numbers (not necessarily primes, but candidates for primes) are numbers that are one less than an odd power of two; the notation M n n shows that M n can be prime only if n itself is prime, which simplifies the search for Mersenne primes considerably. But the converse is not true; M n may be composite even though n is prime. For example, 2
The Top Twenty: Mersenne MR 90c11009 See the conjectures in our page on mersenne primes. CW91 WN Colquittand Welsh, Jr., L., A new mersenne prime, Math. Comp., 56 (1991) 867870. http://primes.utm.edu/top20/page.php?id=4
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
Extractions: Understanding Mathematics by Peter Alfeld, Department of Mathematics, University of Utah 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]
Mersenne Primes Author yendor Could someone please explain mersenne primes to me, examples, likethe smallest mersenne prime which is not a prime number, also is there any http://www.newton.dep.anl.gov/newton/askasci/1995/math/MATH037.HTM
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://www.ndatech.com/mersenne/signup.htm
Extractions: 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: 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: email@example.com
Extractions: 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. Advertisement
Extractions: Dictionaries: General Computing Medical Legal Encyclopedia Word: Word Starts with Ends with Definition The Great Internet Mersenne Prime Search , or GIMPS , is a collaborative project of volunteers, who use Prime 95 is the name of the Windows-based software written by George Woltman that GIMPS, a distributed computing project researching Mersenne prime numbers, uses. There is also a Linux-based version named MPrime. Click the link for more information. and MPrime MPrime is the name of the Linux and BSD software, written by George Woltman, that GIMPS, a distributed computing project researching Mersenne prime numbers, uses. It is entirely console based, with no requirement for X or any such thing. There is also a Windows-based version named Prime95.
Extractions: Dictionaries: General Computing Medical Legal Encyclopedia Word: Word Starts with Ends with Definition In mathematics Mathematics is commonly defined as the study of patterns of structure, change, and space; more informally, one might say it is the study of 'figures and numbers'. In the formalist view, it is the investigation of axiomatically defined abstract structures using logic and mathematical notation; other views are described in Philosophy of mathematics. Mathematics might be seen as a simple extension of spoken and written languages, with an extremely precisely defined vocabulary and grammar, for the purpose of describing and exploring physical and conceptual relationships. Click the link for more information. , the Lucas-Lehmer test is a primality test A primality test is an algorithm for determining whether an input number is prime. The simplest primality "test" is as follows: Given an input number N , we check each integer k > 1 other than N to see whether N is divisible by k . If so, then
Math Lair - Mersenne Primes A lot of is currently being done by the Great Internet mersenne prime Search. Thelarger mersenne primes are the largest numbers which we know to be prime. http://www.stormloader.com/ajy/mersenne.html