61. Mathenomicon.net : Reference : Mersenne Prime mersenne prime. noun. A mersenne prime is a Mersenne number (a naturalnumber of the form for some natural number ) that is prime. http://www.cenius.net/refer/display.php?ArticleID=mersenneprime

62. MIAB's Involvement With The Great Internet Mersenne Prime Search Man in a Bottle, Man in a Bottle and The Great Internet mersenne prime Search. Manin a Bottle has just joined GIMPS (the Great Internet mersenne prime Search). http://www.maninabottle.co.uk/stuff/gimps/

Man in a Bottle and The Great Internet Mersenne Prime Search BACK HOME Go here safe in the knowledge that GIMPS will still be operating. Discussion Forum Discuss Mersenne Primes and the GIMPS project. Man in a Bottle has just joined GIMPS (the Great Internet Mersenne Prime Search). GIMPS is a project searching for Mersenne prime numbers by harnessing the power of thousands of computers throughout the world. A small application runs in the background while I use my computer. It detects idle time which would otherwise go to waste and uses it to process numbers downloaded from the internet. The first person to discover a 10,000,000 (10 million) digit prime number will win $100,000. $55,000 goes to the person who finds one using the GIMPS software. Mersenne Primes were named after a French monk called Marin Mersenne (1588-1648). A small percentage of numbers of the form 2 P -1 are prime. Mersenne suggested that numbers were primes when P = 2, 3, 5, 7, 13, 17, 19, 31, 67, 127 and 257 and were composite (not prime) for all other positive integers (whole real numbers greater than 0) less than 258.

63. Science News Online: Ivars Peterson's MathTrek (7/24/99): Mersenne Megaprime On June 1, a participant in the Great Internet mersenne prime Search (GIMPS) discoveredthe first known prime number with at least 2 million decimal digits http://www.sciencenews.org/sn_arc99/7_24_99/mathland.htm

Recently on MathTrek: Row Your Boat (7/17/99) A Song About Pi (7/10/99) Solitaire-y Sequences (7/3/99) MathTrek Archives... Mersenne Megaprime This time, it’s a great leap forward. On June 1, a participant in the Great Internet Mersenne Prime Search (GIMPS) discovered the first known prime number with at least 2 million decimal digits—more than twice as many as the previous record holder. The discoverer was Nayan H ajratwala, a consultant at PricewaterhouseCoopers in Plymouth, Mich. Using a Pentium-based personal computer and software written by George Woltman of Orlando, Fla., he identified 2 - 1 as a prime number, evenly divisible only by itself and 1. Its 2,098,960 decimal digits qualify Hajratwala for a $50,000 prize offered by the Electronic Frontier Foundation (EFF) in Palo Alto, Calif., for the first individual or group who discovers a prime number with at least 1 million digits. The newly discovered number is the 38th known Mersenne prime, named for the French cleric and mathematician Marin Mersenne (1588-1648). Expressed in the form 2 p - 1, where the exponent

64. Ordered Bits Great Internet Mersenne Prime Search Page About the Great Internet mersenne prime Search. From the GIMPS HomepageWhat are mersenne primes and why do we search for them? http://orderedbits.com/GIMPS/

GIMPS info page Here is a listing of the current factoring status of my local machines running the GIMPS client. I have also jotted down a description of how I configured my local machines to access Primenet and how I set up this status page with (relatively) up to date stats. About the Great Internet Mersenne Prime Search From the GIMPS Homepage What are Mersenne primes and why do we search for them? Prime numbers have long fascinated amateur and professional mathematicians. An integer greater than one is called a prime number if its only divisors are one and itself. 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. A Mersenne prime is a prime of the form 2 P -1. The first Mersenne primes are 3, 7, 31, 127, etc. There are only 39 known Mersenne primes. GIMPS, the Great Internet Mersenne Prime Search, was formed in January 1996 to discover new world-record-size Mersenne primes. GIMPS harnesses the power of thousands of small computers like yours to search for these "needles in a haystack". Factoring Status Machine Name Test Type Exponent Iteration or Power Status Last Update Nexus PII/450 @ 495 Lucas-Lehmer Tue Mar 18 05:33:32 2003 Dextrous PII/333 Lucas-Lehmer Tue Mar 18 03:22:52 2003 Thinkpad Celeron/333 Lucas-Lehmer Mon Mar 17 23:39:00 2003 Dell Celeron/366 Lucas-Lehmer Tue Mar 18 02:50:58 2003 Client Setup Windows Client Download prime95 from the mersenne.org site.

65. The Great Internet Mersenne Prime Search Return to the home page for Patrick Kellogg. The Great Internet mersenne primeSearch. Why would anyone want to try to find the next mersenne prime? http://www.patrickkellogg.com/school/papers/gimps.htm

Return to the home page for Patrick Kellogg The Great Internet Mersenne Prime Search The “Great Internet Mersenne Prime Search” is a large distributed computing project sponsored by the Mersenne organization at: http://www.mersenne.org/prime.htm . It was started by George Woltman in 1994 to find Mersenne primes, and in the last six years the group has found the four largest ones currently known. In addition to GIMPS, they also sponsor several other distribute mathematical projects at (http://www.mersenne.org/). Why would anyone want to try to find the next Mersenne prime? Well, besides the altruistic idea of contributing to scientific knowledge, the Electronic Frontier Foundation ( www.eff.org ) is offering a $100,000 reward to the first person that helps to discover a ten million digit (or higher) prime number. There are some caveats $25,000 goes to charity and $20,000 to GIMPS, but it still leaves $55,000 for the lucky computer user. And the 1 in 250,000 odds are better than most state lotteries. Installation of the GIMPS software is easy. Different versions are available for Microsoft Windows 95/98 and NT/2000 (as well as the earlier 3.1), Linux, FreeBSD, OS/2 and DOS. Also, optimized code is available for different platforms, including PowerPC, StrongARM, UNIX, and older x86 machines. Though the software does not support multiple processors or multiple machines working on the same problem, they have a very robust server at “PrimeNet” (

66. GIMPS - The Great Internet Mersenne Prime Search GIMPS The Great Internet mersenne prime Search. Using the computersof my former employer Universität Dortmund I have participated http://www.weller-garmann.de/mersenne/mersenne.en.html

GIMPS - The Great Internet Mersenne Prime Search Using the computers of my former employer I have participated in the prime search of the GIMPS project. The following numbers of the form i are not prime: prime fact Lucas-Lehmer residue or factor exponent bits [residues partially masked] i 5226839 62 D 0x2E95D9CFD7197E 5558221 63 D 0x22D47F2421B8A7 9516811 64 0x109C01C4F10569 9731213 64 0xF4AAD9D80ABF38 9774451 64 0x4F563D367597A3 9783649 64 0x0FB76706D7A341 9829987 64 0x4CB81D27F7439A 10415347 64 0xEAB37A4CFBF9F5 10428797 64 0x0F97AB7FAD6B5F 10428937 64 0x0A17BD65A44971 Factored composite : Lucas-Lehmer composite: 8 Double-checked LL : 2 - TOTAL : 10 More about the GIMPS project can be found at mersenne.org Robert Garmann, February 22, 2002

67. Prime Number Resources And Information What is a mersenne prime? Great Internet mersenne prime Search and GIMPS status;Entropia's Internet PrimeNet Server and PrimeNet Status. Prime number software. http://www.eff.org/awards/prime-info.html

Prime Number Resources and Information Prime number basics What is a prime number? The first 1000 primes Hundreds of thousands of primes (a growing list) How many primes are there? ... Frequently Asked Questions about Primes How to prove that a large number is prime Finding prime numbers - an introduction The quick tests The classical tests General purpose tests ... Amdahl 6's method for finding large non-Mersenne primes Largest known primes The largest known primes A brief history of the largest known prime Mersenne primes Who was Marin Mersenne? What is a Mersenne number? What is a Mersenne prime? The history of Mersenne primes ... Great Internet Mersenne Prime Search and GIMPS status Entropia's Internet PrimeNet Server and PrimeNet Status Prime number software Prime Freeware GIMPS free software Elliptic Curve Primality Proving software Proth's Theorem software ... lucas.cal Miscellaneous prime links Prime number news Cooperative computation award news Ways to visualize prime numbers Lists of primes ... meganumbers.com - Some lists of prime numbers For more information March 31, 1999 press release

68. Status News EFF Cooperative Computing Awards Presently, the largest known prime number is the overtwo-million-digitprime 2 6972593 -1, aka M(6972593) or the 38th mersenne prime. http://www.eff.org/awards/award-news.html

Subscribe to EFFector Newsletter (your e-mail address) Search: Site Map Most Popular EFF Pages Today Current Status of the EFF Cooperative Computing Awards As of April 6, 2000 one award has been given Presently, the largest known prime number is the over-two-million-digit prime 2 -1, a.k.a. M(6972593) or the 38th Mersenne Prime. This prime was discovered by Nayan Hajratwala , using software written by George Woltman and the distributed computing technology and services of Scott Kurowski's company, Entropia.com, Inc. , via GIMPS - a cooperative computing group, officially known as the Great Internet Mersenne Prime Search Prior to this discovery, the largest known prime number was the 909526-digit prime , a.k.a. M(3021377) or the 37th Mersenne Prime. This prime number was discovered by Roland Clarkson George Woltman , and Scott Kurowski via GIMPS According to the GIMPS status page, all Mersenne numbers that are 1,000,000 decimal digits or shorter have been tested at least once. Selected pre-award timeline 26 Dec 1998 According to the GIMPS status page, all

69. Entropia - Press Release Cameron, a 20 yearold participant in the worldwide mathematics research projectcalled the Great Internet mersenne prime Search (GIMPS), has discovered the http://www.entropia.com/release_12112001.asp

Back to Press Releases Page Media Contacts This story has appeared at: eyeforpharma Briefing "GRID and distributed computing in pharmaceutical R&D" cNetNews.com "Distributed computing strikes gold" Financial Times "Entropia Grid Powers Mersenne Project's Discovery of Largest Known Prime Number" NewsAlert.com "Entropia Grid Powers Mersenne Project's Discovery of Largest Known Prime Number" ENTROPIA GRID POWERS MERSENNE PROJECT'S DISCOVERY OF LARGEST KNOWN PRIME NUMBER Discovery Would Have Required 13,000 Years Running On One PC San Diego, CA - December 11, 2001 - Entropia, Inc., the leading provider of PC-based distributed computing technology, and Mersenne.org announced today that Michael Cameron, a 20 year-old participant in the worldwide mathematics research project called the Great Internet Mersenne Prime Search (GIMPS) , has discovered the largest known prime number using his PC connected to the Entropia Mersenne Grid. Entropia and Mersenne.org run GIMPS jointly. Entropia created the distributed computing technology and maintains the global Grid that harnesses spare CPU cycles to accelerate the discovery of these rare numbers. Mersenne.org developed the application software that runs on this Grid and performs the calculations to discover these prime numbers. GIMPS has 130,000 volunteer participants with more than 210,000 PCs. The new Mersenne prime, expressed as 2 to the 13,466,917th power minus 1, contains

70. Fun_People Archive - 2 Dec - A New Mersenne Prime: Primetime For Pentiums Fun_People Archive 2 Dec A new mersenne prime Primetime for Pentiums.ContentType text/plain Mime-Version 1.0 (NeXT Mail 3.3 http://www.langston.com/Fun_People/1996/1996CEJ.html

Fun_People Archive 2 Dec A new Mersenne Prime: Primetime for Pentiums

71. Home Teaching Teaching Philosophy 117 Topics Privacy Policy 117 Topics The list of mersenne prime numbers. mendoza created the followingscript which allows to find first few mersenne prime numbers. http://www.ma.umist.ac.uk/avb/mersenne.html

This document is http://www.ma.umist.ac.uk/avb/mersenne.html 117 Topics: The list of Mersenne prime numbers See explanation of the hwoarang writes: " I researched primes and found the largest known Mersenne Prime at www.mersenne.org/ "It's huge - over 4 million digits! Michael Cameron, 20, from Canada proved 2^13,466,917-1 is prime on November 14, 2001. Although this prime took only a few weeks on his 800 MHz AMD computer" " mendoza created the following script which allows to find first few Mersenne prime numbers. It checks first primes p for p being prime. If you wish to test it, save the following text in a file, say, mendoza.m, put it in the working directory of MATLAB and enter the command mendoza and watch MATLAB producing Mersenne prime numbers. Enjoy! a=2 m=sym('2')^sym(a)-1 b=issymprime(m); for i=1:100 a=nextprime(a); m=sym('2')^a-1; b=issymprime(m); if b=='true' disp(a), disp(m); end end Last update 16 October 2002 Alias Mersenne index n Mersenne prime number 2^n -1 aaron alkeyhol boris donjuan ewjim flapjack gracie hwoarang ilam iron kitty-88 maximus mendoza molasses moog mongoose monkey munchkin ninja piglet redbull rudij seraph skruferz spunky stoneman stoopid tigger trinity ulysses vampire vegas warrior weemziz Alias Mersenne index n Mersenne prime number 2^n -1 It is still an open problem whether the number of Mersenne prime numbers is finite or infinite. Incidentally, the answer to this question is of serious importance to

72. ScienceDaily News Release: World's Largest Known Prime Number Found -- 2^2976221 Source The Great Internet mersenne prime Search. Date 199709-07. World's LargestKnown Prime Number Found 2^2976221-1 Is The 36th Known mersenne prime. http://www.sciencedaily.com/releases/1997/09/970907200829.htm

Search Our Archives Keywords: Order by: date relevance More options Get ad-free access with email updates sign up or log in Text size: A A A Welcome Home page About this site Awards, reviews News Summaries Headlines Topics Shop Our stuff Browse books Magazines Software Contribute Register free Post release Edit profile Review hits Advertise Media kit Traffic stats Contact us Previous Story ... Related Stories Next Story Source: The Great Internet Mersenne Prime Search Date: ORLANDO, Fla., September 1, 1997 Gordon Spence, using a program written by George Woltman, has discovered what is now the largest known prime number.  The prime number, 2^2976221-1, is one of a special class of prime numbers called Mersenne primes.  This is only the 36th known Mersenne prime.  Gordon Spence, a 38-year-old I.T. Manager for Thorn Microwave Devices Ltd, is from Hampshire, England.  George Woltman is a 39 year-old programmer living in Orlando, Florida. The new Mersenne prime was independently verified on a Cray T90 supercomputer by David Slowinski, discoverer of seven Mersenne primes between 1979 and 1996. Spence is one of over 2000 volunteers world-wide participating in the Great Internet Mersenne Prime Search (GIMPS).  This prime number is the second record prime found by the GIMPS project. Joel Armengaud discovered the previous largest known prime number last November.  The GIMPS project was started by Woltman in early 1996.

73. Mersenne Prime Searcher Page 4 years of contribution and counting. Over 15 years for factoring,and 20 years for primality testing. More to come http://zylstra.resnet.calvin.edu/prime/

74. Www.und.edu/org/crypto/crypto/numbers/data/Mersenne1398269.announcement Early this year, Woltman launched the Great Internet mersenne prime Search (GIMPS). Thenew prime number, 2^13982691 is the 35th known mersenne prime. http://www.und.edu/org/crypto/crypto/numbers/data/Mersenne1398269.announcement

You do not need to be a mathematian or computer whiz to use the program. Said Armengaud, "You won't even know the program is running. It uses computer time that would otherwise go to waste." Even though this is the 35th known Mersenne prime, there may be a smaller, as yet undiscovered Mersenne prime. Not all Mersenne numbers between the 31st and 35th have been checked. There is a well-known formula that generates a "perfect" number from a Mersenne prime. A perfect number is one whose factors add up to the number itself. The smallest perfect number is 6 = 1 + 2 + 3. The 35th known perfect number is 2^1398268 * (2^1398269-1). This number is 841,842 digits long! -

75. Distributed Computing Strikes Gold | CNET News.com Cameron's computer found the number, but he shares credit with others George Woltman,who founded the Great Internet mersenne prime Search (GIMPS) and wrote http://news.com.com/2100-1001-276972.html

CNET tech sites: Price comparisons Product reviews Tech news Downloads ... Site map Distributed computing strikes gold By Stephen Shankland Staff Writer December 13, 2001, 4:00 AM PT A 20-year-old in Owen Sound, Canada, has found the world's largest known prime number using a mere desktop computer. But he didn't work alone: His system was part of a 210,000-machine quasi-supercomputer stretched across the globe. Using a computer with an 800MHz chip from Advanced Micro Devices, Michael Cameron found the prime number on Nov. 14, according to Entropia . The San Diego company sells software to enable "distributed computing," which harnesses the unused processing abilities of computers scattered across the Internet. Although the arrival of profit motive has transformed distributed computing, its roots remain in academic pursuits such finding optimal Golomb rulers or alien radio signals Cameron's computer found the number, but he shares credit with others: George Woltman, who founded the Great Internet Mersenne Prime Search (

76. Primemasta, A Team Which Participates GIMPS primemasta, a team which participates GIMPS. The great internet mersenne prime search. Thewhole power is used for the Great Internet mersenne prime Search. http://primemasta.cjb.net/

Click here to continue. primemasta, a team which participates GIMPS primemasta, a team which participates GIMPS primes, GIMPS

77. Totse.com | The 32nd Mersenne Prime, Predicted By Mersenne www.totse.com The 32nd mersenne prime, Predicted by Mersenne - The 32nd MersennePrime, Predicted by Mersenne. The 32nd mersenne prime, Predicted by Mersenne. http://www.totse.com/en/technology/science_technology/32pri10.html

About Community Bad Ideas Drugs ... ABOUT The 32nd Mersenne Prime, Predicted by Mersenne The 32nd Mersenne Prime, FOUND by David Slowinski Took 26.562767 minutes to calculate using Maple 4.0 on a 512-MW 4 CPU Cray 2 To the best of our knowledge, the text on this page may be freely reproduced and distributed. If you have any questions about this, please check out our totse.com has served up 191,376,975 pages since 03/13/98. About Community Bad Ideas Contact Us ... Freezing and bring back to life in the future

78. Ivars Peterson's MathLand It is also the 34th mersenne prime to be discovered. The smallest mersenne primeis 3 (2^2 1). After that comes 7 (2^3 - 1), then 31 (2^5 - 1), and so on. http://www.maa.org/mathland/mathland_9_16.html

Ivars Peterson's MathLand September 16, 1996 Mining Prime Terrain Venturing again into largely unexplored digital territory, computer scientists at Cray Research have unearthed another gargantuan prime number, setting a new record for the largest known prime. This number, 2^1,257,787 - 1, has 378,632 digits, putting it well ahead of the previous record holder, which came in at 258,716 digits when it was found in 1994. If written out in full, the new prime would cover about 120 typed pages. It is also the 34th Mersenne prime to be discovered. Expressed in the form 2^ p - 1, where the exponent p is itself a prime, Mersenne numbers hold a special place in the never-ending pursuit of larger and larger primes. These particular numbers have special characteristics that make it relatively easy to check whether a candidate is either a prime number or a composite number. The smallest Mersenne prime is 3 (2^2 - 1). After that comes 7 (2^3 - 1), then 31 (2^5 - 1), and so on. With an exponent of 1,257,787, the new champion holds the distinction of being the largest Mersenne prime so far identified. 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, or even between the third-place and second-place Mersenne primes. The new prime was discovered last spring by David Slowinski and Paul Gage in the course of routine testing of a new Cray T94 supercomputer in preparation for delivery to a customer. The number surfaced during one particular 6-hour run. Slowinski and Gage then asked other researchers to double-check their work before making it public.

79. CASNET List Archive: New Mersenne Prime Found New mersenne prime found. The newest mersenne prime was found last week, as summarizedin a press release available at http//www.mersenne.org/2976221.htm. http://www.casact.org/lists/casnet/00000039.htm

New Mersenne prime found PHILBRS@tillinghast.com Tue, 2 Sep 1997 12:43:56 -0400 Messages sorted by: [ date ] [ thread ] [ subject ] [ author ] Previous message: Mary Frances Miller: "Position Announcements!" Next message: Mary Frances Miller: "Re: Simulation software" Next in thread: kathy gile: "Re: New Mersenne prime found" Maybe reply: kathy gile: "Re: New Mersenne prime found" I assume that some actuaries are interested in Mersenne Primes. If not, my apologies for the interruption. The newest Mersenne Prime was found last week, as summarized in a press release available at http://www.mersenne.org/2976221.htm The newest prime was found by a member of the GIMPS team (Great Internet Mersenne Prime Search). I am a member of that team, and I have two computers searching a range of possible values. I note that the GIMPS team is made up of roughly 2000 volunteers. Simple math tells me that if most casualty actuaries joined the team (say 2000 of the 2500), then we would double the team size and the probability that the next prime would be found by an actuary would be roughly 1/2. (I realize that my numbers are optimistic, but a

80. CASNET List Archive: Re: New Mersenne Prime Found Re New mersenne prime found. Next message Sce, Michael RE Simulation ;Maybe in reply to PHILBRS@tillinghast.com New mersenne prime found ; http://www.casact.org/lists/casnet/00000043.htm

Re: New Mersenne prime found kathy gile ( kgecorp@ix21.ix.netcom.com Tue, 02 Sep 1997 21:30:09 -0500 Messages sorted by: [ date ] [ thread ] [ subject ] [ author ] Previous message: kathy gile: "Re: Simulation software" Next message: Sce, Michael: "RE: Simulation" Maybe in reply to: PHILBRS@tillinghast.com: "New Mersenne prime found" Next in thread: Snaps99999@aol.com: "Re: New Mersenne prime found" PHILBRS@tillinghast.com wrote: http://www.mersenne.org/2976221.htm http://www.casact.org Why not ALSO call on the SOA here? I know there are SOA members interested in this. BSG Visit the CAS Web Site at http://www.casact.org To subscribe or unsubscribe from CASNET: Send an e-mail to caslists@lists.casact.org Type in the body join casnet to subscribe or leave casnet to unsubscribe. Previous message: kathy gile: "Re: Simulation software" Next message: Sce, Michael: "RE: Simulation" Maybe in reply to: PHILBRS@tillinghast.com: "New Mersenne prime found" Next in thread: Snaps99999@aol.com: "Re: New Mersenne prime found"

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