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	PlanetMath: Great Internet Mersenne Prime Search
		The Great Internet Mersenne Prime Search (or GIMPS for short) is a distributed computing effort to find Mersenne primes.
		Volunteers sign up to allow GIMPS to use their own personal computers to test potential Mersenne primes and send the results back to a central database.
		This is version 3 of Great Internet Mersenne Prime Search, born on 2006-11-02, modified 2006-11-03.
	planetmath.org /encyclopedia/GreatInternetMersennePrimeSearch.html (177 words)

	Great Internet Mersenne Prime Search - Wikipedia, the free encyclopedia
		This project has been rather successful: it has already found a total of 8 Mersenne primes, each of which was the largest known prime at the time of discovery.
		The largest known prime as of August 2005 is 2
		This prime was discovered on February 18, 2005.
	en.wikipedia.org /wiki/Great_Internet_Mersenne_Prime_Search (262 words)

	Mersenne prime - Wikipedia, the free encyclopedia
		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.
		The best method presently known for testing the primality of Mersenne numbers is based on the computation of a recurring sequence, as developed originally by Lucas in 1878 and improved by Lehmer in the 1930s, now known as the Lucas-Lehmer test.
	en.wikipedia.org /wiki/Mersenne_prime (784 words)

	Great Internet Mersenne Prime Search - Wikipedia, the free encyclopedia (Site not responding. Last check: 2007-10-14)
		This project has been rather successful: it has found a total of 7 Mersenne primes, each of which was the largest known prime at the time of discovery.
		This prime was discovered on May 15th 2004 by Josh Findley.
		Refer to the article on Mersenne primes numbers for the complete list of GIMPS successes.
	www.encyclopedia-online.info /GIMPS (245 words)

	Mersenne Prime Search
		The new prime at 9,808,358 digits is 650,000 digits larger than their previous record prime found last December.
		The discovery is the tenth record prime for the GIMPS project.
		The first prime numbers are 2, 3, 5, 7, 11, etc. For example, the number 10 is not prime because it is divisible by 2 and 5.
	www.mersenne.org (977 words)

	getty.net GIMPS Participation
		Mersenne numbers are named after the French monk Marin Mersenne (1588-1648) who stated in the preface to his Cogitata Physica-Mathematica (1644) the definition of what would later be known as a Mersenne Prime Number.
		A total of five Mersenne primes would be found between the time of Mersenne's death and the 1950s when six more Mersenne primes were found using computers, bringing the total to 18.
		Mersenne Primes were found using the PrimeNet central server in conjunction with the GIMPS effort.
	getty.net /gimps (1372 words)

	The Largest Known Primes (Site not responding. Last check: 2007-10-14)
		For example, the prime divisors of 10 are 2 and 5; and the first six primes are 2, 3, 5, 7, 11 and 13.
		The problem of distinguishing prime numbers from composite numbers and of resolving the latter into their prime factors is known to be one of the most important and useful in arithmetic.
		Because the way the largest numbers N are proven prime is based on the factorizations of either N+1 or N-1, and for Mersennes the factorization of N+1 is as trivial as possible (a power of two).
	www.utm.edu /research/primes/largest.html (1149 words)

	BBC News \| SCI/TECH \| Number takes prime position
		The prime number - a number that can only be divided by one and itself - was discovered by Michael Cameron, a 20-year-old Canadian participant in a mass computer project known as the Great Internet Mersenne Prime Search (Gimps).
		Mersenne primes are important for the theory of numbers and they may help in developing unbreakable codes and message encryptions.
		The study of Mersenne primes has been central to number theory since they were first discussed by Euclid in 350 BC.
	news.bbc.co.uk /1/hi/sci/tech/1693364.stm (802 words)

	DCCentral [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.
		There have been only 38 Mersenne prime numbers found, and the GIMPS search is focusing on the large primes — numbers so huge that it could take your computer up to a year to crunch one exponent.
		The Mersenne prime search was formed in 1996, and —; ever since the project launched — a new world-record Mersenne prime has been discovered every year.
	library.thinkquest.org /C007645/english/2-mersenne-0.htm (510 words)

	MathWorld News: 42nd Mersenne Prime (Probably) Discovered
		If verified, this would be the 42nd known Mersenne prime, as well as the largest prime number known of any kind.
		Mersenne primes are intimately connected with so-called perfect numbers, which were extensively studied by the ancient Greeks, including by Euclid.
		The eight largest known Mersenne primes (including the latest candidate) have all been discovered by GIMPS, which is a distributed computing project being undertaken by an international collaboration of volunteers.
	www.lehigh.edu /~bad0/bdNews42ndMers3.html (433 words)

	Largest prime number ever is found - 02 December 2003 - New Scientist
		Prime numbers are positive integers that can only be divided by themselves and one.
		Mersenne primes were first discussed by Euclid in 350 BC and have been central to the branch of mathematics known as number theory ever since.
		However, despite their significance, mathematicians do not understand the way prime numbers are distributed making it very difficult to identify new primes.
	www.newscientist.com /article.ns?id=dn4438 (553 words)

	Learn more about Great Internet Mersenne Prime Search in the online encyclopedia. (Site not responding. Last check: 2007-10-14)
		This project has been rather successful: it has found a total of 6 Mersenne primes, which have all been the largest known primes at the time of discovery.
		The largest known prime as of November 2003, is 2
		This prime was discovered on 17th November 2003 by Michael Shafer, a GIMPS participant from Michigan, United States of America.
	www.onlineencyclopedia.org /g/gr/great_internet_mersenne_prime_search.html (366 words)

	Great Internet Mersenne Prime Search - Term Explanation on IndexSuche.Com (Site not responding. Last check: 2007-10-14)
		The largest known prime as of March 2004, is 220,996,011-1.
		January 27th 1998: Roland_Clarkson found the prime 23021377-1, which is known to be the 37th in numerical order.
		June 1st 1999: Nayan_Hajratwala found the prime 26972593-1, which is known to be the 38th in numerical order.
	www.indexsuche.com /Great_Internet_Mersenne_Prime_Search.html (327 words)

	World's Largest Known Prime Number
		Primes serve as the building blocks for all positive integers, and have applications in cryptography and other fields.
		A Mersenne number that is also a prime number is called a Mersenne prime.
		Prime Numbers - A prime number can be divided, without a remainder, only by itself and by 1.
	www.factmonster.com /ipa/A0920820.html (303 words)

	The Great Internet Mersenne Prime Search - The Perl Journal, Winter 1997
		Until I became acquainted with GIMPS, the Great Internet Mersenne Prime Search (http://www.mersenne.org), the idle cycles on my workstation were spent entirely in wait states.
		One answer is that the search for prime numbers is merely symbolic, like mountain climbing or space exploration.
		Since Mersenne was born, the highest known prime number since Mersenne was born has always been either a Mersenne prime or a factor of a Mersenne composite, except for a brief period in 1951.
	www.foo.be /docs/tpj/issues/vol2_4/tpj0204-0012.html (2036 words)

	GIMPS MERSENNE PRIME WORLD RECORD LARGEST FOUND BY GORDON SPENCE
		Mersenne Prime at the time it was the world's largest known prime number.
		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.
		The study of Mersenne primes has been central to number theory since they were first discussed by Euclid in 350 BC.
	www.rugeley.demon.co.uk /gimps/prime.htm (595 words)

	Nature Web Matters > Internet Computing and the Emerging Grid (Site not responding. Last check: 2007-10-14)
		But although Condor is effective on a small scale, true mass production of Internet computing cycles had to wait a little longer for the arrival of more powerful PCs, the spread of the Internet, and problems (and marketing campaigns) compelling enough to enlist the help of the masses.
		Internet computing is just a special case of something much more powerful -- the ability for communities to share resources as they tackle common goals.
		Although Internet and Grid computing are both new technologies, they have already proven themselves useful and their future looks promising.
	www.nature.com /nature/webmatters/grid/grid.html (1663 words)

	Ordered Bits Great Internet Mersenne Prime Search Page
		The first prime numbers are 2, 3, 5, 7, 11, etc. For example, the number 10 is not prime because it is divisible by 2 and 5.
		The first Mersenne primes are 3, 7, 31, 127, etc. There are only 42 known Mersenne primes.
		GIMPS, the Great Internet Mersenne Prime Search, was formed in January 1996 to discover new world-record-size Mersenne primes.
	orderedbits.com /GIMPS (790 words)

	Great Internet Mersenne Prime Search (Site not responding. Last check: 2007-10-14)
		The Great Internet Mersenne Prime Search, or GIMPS, is a collaborative project ofvolunteers, 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 softwarewas written by George Woltman.
		This prime was discovered on May 15th2004 by Josh Findley.
	www.therfcc.org /great-internet-mersenne-prime-search-218278.html (216 words)

	Business Wire: Entropia Grid Powers Mersenne Project's Discove... @ HighBeam Research (Site not responding. Last check: 2007-10-14)
		Mersenne primes are most relevant to number theory and have practical implications for encryption and computational benchmarking.
		The discovery is the fifth record prime found by the GIMPS project, and the third discovered using Entropia's Grid for distributed computing.
		The Great Internet Mersenne Prime Search (GIMPS) was formed in January 1996 by George Woltman to discover new world-record-size Mersenne primes.
	www.highbeam.com /library/doc0.asp?docid=1G1:80706467&refid=ink_tptd_g1 (922 words)

	JC's: Distributed Computing: Great Internet Mersenne Prime Search (GIMPS) (Site not responding. Last check: 2007-10-14)
		A Mersenne Prime is, then, a Mersenne number which happens to also be a prime number.
		Of course, a devoted Mersenne hunter might be one to suggest that purely theoretical and more science-oriented work like this might be liable to get us to the stars faster than listening for radio signals, and may end up being more useful than crunching obsolete encryption schemes through entirely brute force methods (coughrc5cough).
		While searching for other distributed programs relating to mathematics, I came upon a this mathematical approximation of an equation for the nth prime and a very interesting plotting of nth mersenne prime values.
	www.jc-news.com /pc/parse.cgi?distributed/gimps (410 words)

	The Mersenne Prime Homepage
		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.
		George's goal is to test every Mersenne prime possibility up to 5,260,000 before the end of 1999.
	www.albanyconsort.com /mersenne (309 words)

	Grad student in Michigan discovers largest known prime number (Site not responding. Last check: 2007-10-14)
		A prime number is a positive number divisible only by itself and one: 2, 3, 5, 7 and so on.
		Mersenne primes are a special category, expressed as 2 to the "p" power minus 1, where "p" also is a prime number.
		Mersenne primes are rare but are critical to the branch of mathematics called number theory.
	www.sfgate.com /cgi-bin/article.cgi?file=/news/archive/2003/12/10/national1427EST0672.DTL (410 words)

	Ivars Peterson's MathTrek - Mersenne Megaprime
		The newly discovered number is the 38th known Mersenne prime, named for the French cleric and mathematician Marin Mersenne (1588-1648).
		However, because no one has yet checked all Mersenne numbers having smaller exponents, mathematicians can't be sure that no Mersenne primes lurk in the vast expanse between the record holder and the second-place Mersenne prime, which has an exponent of 3,021,377.
		Additional information about the Great Internet Mersenne Prime Search and the discovery of the 38th Mersenne prime is available at http://www.mersenne.org/prime.htm.
	www.maa.org /mathland/mathtrek_7_26_99.html (693 words)

	Great Internet Mersenne Prime Search (Site not responding. Last check: 2007-10-14)
		The Great Internet Mersenne Prime Search or GIMPS is a collaborative project of volunteers use Prime 95 and MPrime special open source software that can be downloaded from the Internet for free in order to search Mersenne prime numbers.
		This project has been rather successful: it found a total of 7 Mersenne primes each of which was the largest prime at the time of discovery.
		Refer to the on Mersenne primes numbers for the complete list of GIMPS successes.
	www.freeglossary.com /Great_Internet_Mersenne_Prime_Search (385 words)

	Ivars Peterson's MathTrek - Priming Upward
		A prime is a whole number evenly divisible only by itself and 1.
		GIMPS volunteers are responsible for checking Mersenne numbers within specified ranges of exponents, whenever their computers would otherwise be idle.
		A poster (with optional magnifier) showing all 7,235,733 decimal digits of the largest known prime number (and the 41st Mersenne prime) can be purchased from Perfectly Scientific at http://www.perfsci.com/novelties.htm.
	www.maa.org /mathland/mathtrek_06_07_04.html (445 words)

	Explananda: 41st Mersenne prime found?
		MathWorld is reporting that a computer participating in GIMPS, the Great Internet Mersenne Prime search, claims to have found the 41st Mersenne prime this morning.
		There's a $100,000 prize for the discovery of the first prime with 10 million digits, which GIMPS is likely to claim within a couple years.
		The discovery of the 41st Mersenne prime would also mean the discovery of the 41st perfect number.
	www.explananda.com /archives/000195.html (143 words)

	Wup.it (Site not responding. Last check: 2007-10-14)
		La scoperta rappresenta solo il 41mo primo di Mersenne noto, così chiamato grazie a Marin Mersenne, un monaco francese del XVII secolo che per primo studiò questi rari numeri 300 anni or sono.
		La Great Internet Mersenne Prime Search (GIMPS) è nata nel gennaio 1996 grazie a George Woltman, per scoprire nuovi numeri primi di Mersenne di grandezza eccezionale.
		I primi di Mersenne hanno svolto un ruolo centrale nella teoria dei numeri sin da quando vennero discussi da Euclide nel 350 a.C. L'uomo il cui nome essi portano, il monaco francese Marin Mersenne (1588-1648), espresse una famosa congettura su quali valori di p avrebbero portato ad un numero primo.
	www.wup.it /article.php/sid/5993/mode/nested/order/0/thold/0 (1609 words)

	Open Directory - Science: Math: Number Theory: Prime Numbers: Mersenne (Site not responding. Last check: 2007-10-14)
		Internet PrimeNet Server - PrimeNet is a distributed computing project for the Great Internet Mersenne Prime Search, co-ordinating the assignment of work and collection of results.
		Mersenne Prime Digits - Landon Curt Noll lists the decimal, English, and American expansions of all the known Mersenne primes.
		Mersenne Primes: History, Theorems, and Lists - A comprehensive summary of Mersenne prime matters, from their earliest history to the modern test implementations by computer.
	www.dmoz.org /Science/Math/Number_Theory/Prime_Numbers/Mersenne (266 words)

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