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MUST READ Chris Caldwell has an absolutely first-rate page Mersenne Primes: History, Theorems and Lists. He also maintains the definitive Largest Known Primes page. |
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Visit my Mersenne Number Library and Bibliography with a lot of articles and links to people like Hans Riesel (M3217), Landon Noll (M21701 and M23209), and Samuel Wagstaff (distribution of factors). |
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Here’s the link everybody is looking for: George Woltman’s Great Internet Mersenne Prime Search. People all over the world are using his program in an orchestrated search for the next Mersenne Prime. George has highly Pentium-optimized a specialized multiplication algorithm byRichard Crandall (of Perfectly Scientific, Inc — ‘the scientific algorithm company’, and formerly with NeXT) and Barry Fagin. 486, PowerMac, Alpha, HP users, almost everybody, can help, too. Dan Gilmore, of the San Jose Mercury News, wrote a newspaper article about GIMPS, dated June 22, 1996. Also Len Ruth and his students at The Sinclair Community College are searching. |
GIMPS Mirrors
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GIMPS Home Page |
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(dead?) WIELKIE Internetowe Poszukiwania Liczb Pierwszych Mersenne’a |
(dead?) The GREAT Internet Mersenne Prime Search |
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La Grande Recherche Internet sur les Nombres Premiers de Mersenne |
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Die große Internetsuche nach Mersenne’schen Primzahlen |
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La Grande Ricerca Internet dei Numeri Primi di Mersenne |
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Den STORE Internet Mersenne Primtal Søgning |
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….thanks for the flags, David. |
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(4 December 1996) GIMPS finds a new World’s Largest Prime Number! Joel Armengaud, running George Woltman’s program, found M1398269, the 35th known Mersenne prime. I’m hoping that Joel will send me a photo of himself taken on rue des Minimes in Paris.
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George Woltman’s official press release. |
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Dan Gilmore always writes well. Here is his article in the San Jose Mercury News (northern California daily newspaper). |
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Of course, Chris Caldwell will explain it better than I. |
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Ivars Peterson’s well written article in Science News Magazine (American weekly magazine). |
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Here’s a fun newspaper article about M1398269 and Jamie Foster. He is a GIMPS member in San Luis Obispo, one of my favorite cities along California’s beautiful coast and the gateway to Highway One. |
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(1 September 1997) 22,976,221 – 1 is Prime! Another new discovery by GIMPS! The 36th known Mersenne prime is a whopper with 895,932 digits.
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(2 February 1998) Will they ever stop? 23,021,377 – 1 is Prime! Yet another new discovery by GIMPS! Not quite a million digits long, it is the 37th known Mersenne prime.
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George Woltman’s Press Release. |
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It was discovered by Roland Clarkson, a student at Califonia State University, Dominguez Hills. |
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Chris Caldwell’s Giant Slaying Refined page. |
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San Jose Mercury News article of 2 Feb, 1998 |
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I’ll add a link here as soon as Ivars Peterson writes an article. |
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The PrimeNet Server immediately sent this Special Advance Notice when M#37 was found. |
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The PrimeNet Server immediately updated the ‘cleared’ page. Jean-Yves Canart downloaded a copy and has made it available for your perusal. (Search for ‘3021377’ and look at the residue.) |
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(6 Feb 1998 ) A newspaper article CSUDH student is in his prime (number) (The Press Telegram, Long Beach, California) |
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(6 Feb 1998) A newpaper article Student Finds Largest Prime Number Ever (Los Angeles Times, California) |
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When I get a copy, I’ll link to an article in the Daily Breeze (Torrance, California) |
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(7 Feb 1998) Food Fight! Kurt Foster wrote the winning post. |
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(7 Feb 1998) Record battu ! |
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(15 March 1997) George Woltman sends out periodic GIMPS newsletters. You can read them all on Will Edgington’s Mersenne Newsletters Page. |
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(9 February 1997) How fast is your PC? Lennart Grebelius now maintains an informative Mersenne Prime Benchmark page. The page should look familiar to GIMPS members. Can a Pentium 166 run faster than a Pentium 200? Lennart also tracks GIMPS progress in P90 CPU years/day. Great page! |
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(17 October 1996) By popular demand, Herb Savage has created some colorful, graphical representations of the current status of the Mersenne prime search. Check back periodically and watch gray turn to blue, blue to green, and maybe even a new, red pixel or two! |
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(31 January 1998) The Unofficial GIMPS Graphical Status Page by David J. Fred. Similar to Herb’s images, David graphically shows the current GIMPS staus to the highest p. |
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(15 March 1997) The February 1997 issue Wired Magazine has an item on George Woltman and GIMPS. See Wired News: Electric Word: Prime Time. Unfortunately, they misspelled Joel Armengaud’s name. Here is a scanned image of the original (250Kb). |
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The Mersenne Prime Mailing List. Communicate with people discussing anything and everything about Mersenne Primes. You don’t have to write anything, you are welcome to just listen in. You can read all of the old posts in the list’s archives. |
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John Vinopal has been working on a helpful Mersenne Primes page. He explains some things quite well. |
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His Mathematica notebook on Mersenne Primes has been made available by Paul Wellin. He also has one on searching for perfect numbers. You don’t have Mathematica? To view his notebooks, get a free copy of MathReader. |
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Susan Stepney discusses Mersenne primes, the Lucas-Lehmer test, Perfect numbers and more. |
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A post dated 2 Apr 1992 by David Slowinski to comp.sys.super, comp.unix.cray, and sci.math (with a follow-up by Bob Silverman). He mentions different machines in the hunt and that M756839 took 19 hours on a Cray-2. Here is Bob Silverman’s reaction to the discovery of M756839. |
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Courtesy of Eric’s Treasure Trove of Mathematics, a page that lists “Mersenne numbers” and their factorizations. This page defines a Mersenne number to be 2^n-1 (n not necessarily prime). |
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This is the FORTRAN program (PrimeZilla) that found M110503 on the NEC SX-2 at the Houston Advanced Research Center (HARC). Optimized for the idiosyncrasies of parallel and vectorized computing, it ran at about 2 gigaflops and took about 11 minutes to test M110503. |
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David Slowinski’s announcement of his and Paul Gage’s discovery that M859433 is prime. Thanks to Warut Roonguthai for the link. |
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There is a growing list of Mersenne freeware. You should be able to find something that will run on your computer. The page is now maintained by and hosted by Conrad Curry. And a big Thanks! to Michael Taylor who was the previous host and maintainer. |
Mersenne Freeware Mirrors
Need:
Mississippi flag
height=43 |
Conrad Curry, Southern US naster site |
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Ethan M. O’Connor, Eastern US mirror |
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Lennart Grebelius, Sweden, European mirror |
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Luke Welsh, Northern California mirror |
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Some of us Mersenne guys had a meeting at the Tied House and I took some photos. They turned out pretty well. |
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(1 October 1996) David Slowinski and Paul Gage struck paydirt once again! They found M1257787, the 34th known Mersenne prime. Here’s where you can read all about it:
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Landon Noll’s SGI press release |
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SGI’s official hack of Landon’s release |
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A Cray page that says about the same thing. |
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Chris Caldwell’s outstanding page (and corrections to SGI’s hack) |
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Dan Gilmore’s excellent article in the San Jose Mercury News (northern California daily newspaper) |
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Ivar Peterson’s also excellent article in Science News Magazine (American weekly magazine) |
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A rather uninspired article from U.S. News And World Report (American weekly news magazine) |
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Bloomberg Business News report. Nothing original, just a rehash of the facts. |
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A short announcement on the American Math Society’s e-math site. Thanks (again) to Warut Roonguthai for the link. |
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(1 Oktober 1996) Von Die Zeit “Auf Primzahl-Jagd im Internet”. Vielen Dank!, Cornelius Caesar. |
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(10 October 1996) Jeffrey O. Shallit has a wonderful Mersenne Bibliography with many entries that I was not aware of. |
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(29 October 1996) GIMPS’s George Woltman was on Canadian radio. George did a great job, as did the program’s host. I decided that the event warranted its own wwweb page. |
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(4 December 1996) This is wonderful! The GIMPS project is exciting some young imaginations. More and more young people are becoming interested in Mersenne primes. The Student’s Mersenne Prime Page has just gone online. Oliver Grebelius is a 7th grade student in Sweden. Let’s wish him great success. |
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(8 December 1996) I am awarding the Most Beautiful Prime Page Prize to Marlene Menard. You’ve seen how professional mathematicians design Mersenne wwweb pages. Take a look at how a professional graphics artist views the Great Internet Mersenne Prime Search. |
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(16 January 1997) Herr Factormeister Will Edgington has somehow found time to do a page on Mersenne numbers. This page is recommended reading. |
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(26 March 1997) From the 1982 Guinness Book of World Records, Harry Nelson and David Slowinski “celebrate their discovery, clothed in computer printouts.” |
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(22 April 1997) Psssssst! Yeah, you. Come over here. Do you want to see a picture of BESK? This baby can crank out nearly three thousand 40-bit multiplies per second. Learn more from Hans Riesel himself, plus some stories about his search for M3217. |
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(4 July 1997) Largest Known Prime Number Discovered on the Vietnamese Association for Computing, Engineering Technology, and Science (VACETS) site. Dated 10 Sept 96, it apparently has been hiding from the search engines — I only recently found it. Very well written, I recommend this page even though my name is misspelled. |
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(4 July 1997) Bekannte Mersenne-Primzahlen von Argee. Kriterium von Lucas-Lehmer, Kriterium von Euler, Perfekte (vollkommene) Zahlen, und Literaturnachweis. |
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(4 July 1997) I don’t know why I didn’t link to this before. Robert Zubek has created a number of clean-looking GIMPS graphics, buttons, banners, etc. Check them out! |
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(31 January 1998) For every Mersenne Prime there is a corresponding Perfect Number. Naohiro Nomoto is a mathematics fan in Japan. He has made a Perfect Number Home Page. Also available in Japanese. |