Mersenne Primes One such form that has been explored a great deal is that of mersenne primes, namedfor marin mersenne, a French monk who began the study of these numbers in http://www.jcu.edu/math/vignettes/mersenne.htm
Extractions: Mersenne Primes A prime number is an integer greater than 1 whose only positive divisors are 1 and the number itself. Thus, the numbers 2, 3, 5, 7, 11, 13, 17, ... are prime. In Vignette 2 , you saw an elementary proof that there are infinitely many prime numbers. It was also pointed out that there is no formula that will generate all primes in sequence. Because of this fact, both professional and amateur mathematicians have for years attempted to determine larger and larger prime numbers. Mersenne Primes Since no formula can generate all prime numbers, attention has turned to looking for prime numbers that have a specific form. One such form that has been explored a great deal is that of Mersenne primes , named for Marin Mersenne, a French monk who began the study of these numbers in the early 1600's. A Mersenne prime is a prime number of the form 2 p - 1, where p is a prime. For instance, 2 - 1= 3 is prime, 2 - 1 = 7 is prime, 2 - 1 = 31 is prime, and so on. Not all such numbers are prime, however; for example, 2 89 is not prime.
Mersenne.org Página Principale Translate this page Los primos de mersenne se llaman así debido al monje francés marinmersenne. En su tiempo, marin mersenne se comportó como un http://www.ctv.es/USERS/gbv/GIMPS/default.htm
Extractions: William and Gayle Cook Music Library Compiled by David Lasocki This bibliography was compiled for Proceedings of the International Double-Reed Symposium Utrecht 1994 (Utrecht: STIMU, 1997), ed. David Lasocki. We are grateful to STIMU for granting permission to load the bibliography on our web site. Praetorius, Michael. The Syntagma Musicum of Michael Praetorius. Volume Two: De Organographia, First and Second Parts. Syntagma Musicum, II: De Organographia, Parts I and II. Translated and edited by David Z. Crookes. Early Music Series, 7. Oxford: Clarendon Press, 1986. Mersenne, Marin. Harmonie Universelle: The Books on Instruments. Translated by Roger E. Chapman . The Hague: Martinus Nijhoff, 1957. Celle: Moeck, 1987. Trichet, Pierre. ca Speer, Daniel. Musica bellicosa ... and a Scale of the Gamut for the Bassoon. London: John Walsh, 1730. Majer, Joseph Friedrich Bernhard Caspar. Eisel, Johann Philipp.
Index Des Noms Commençant Par M Translate this page mersenne, Julienne ( - après 9 février 1700 72 - Oizé ?) mersenne, Louis ( - )mersenne, Louis ( - ) mersenne, Marie ( - ) mersenne, marin (20 avril 1617 72 http://www.chez.com/mremars/genealogie/ancetres/idx4d0.htm
Informations Généalogiques Translate this page Décès 2 janvier 1676 à 72 - Yvré-le-Pôlin ! mersenne, Julienne, mersenne,marin, Sexe Masculin Naissance septembre 1650 à 72 - Oizé. http://www.chez.com/mremars/genealogie/ancetres/dat40.htm
BBC News | SCI/TECH | Number Takes Prime Position The man whose name they now bear, the French monk marin mersenne (15881648),made a famous prediction about which values of P would yield a prime. http://news.bbc.co.uk/hi/english/sci/tech/newsid_1693000/1693364.stm
Extractions: George Woltman, Gimps founder The new number, expressed as 2 -1, contains 4,053,946 digits and would take the best part of three weeks to write out longhand. 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 Gimps project spent 13,000 years of computer time to find the new prime number. Big effort Cameron used an 800 MHz AMD T-Bird PC, running part-time for 45 days to find the number.
Club-Internet Encyclopédie Translate this page un ami, Titres (1-1 / 1) mersenne (marin), marin mersenne Tous lesmots sont cliquables Thèmes associés Voir aussi Philosophe http://www.club-internet.fr/cgi-bin/h?Mersenne
Extractions: TecaLibri Marin Mersenne: opere Nasce l'8 settembre, a Oizé. 1623 Quaestiones celeberrimae in Genesim 1624 L'impiété des déistes 1624 Questions inouyes ou Récreation des Sçavants, Paris 1625 La verité des sciences, Paris 1626 Synopsis mathematica 1636 Harmonie Universelle, Paris, [ rif. 1644 Cogitata physico-mathematica. In quibus tan naturae quàm artis effectus admirandi certissimi demonstrationibus explicantur, Sumptibus Antonij Bertier, Paris, [ rif. Muore il 1 settembre, a Parigi.
TecaLibri: Marin Mersenne: Opere 1624 Questions inouyes ou Récreation des Sçavants, Paris; http://web.infinito.it/utenti/t/tecalibri/M/MERSENNE_OPE.htm
The Prime Page's Links++: Theory/special_forms/Mersenne Luke's marin mersenne Page Images, sounds, references, links, mailing listand software. An eclectic collection to warm any mersenne lover's heart. http://primes.utm.edu/links/theory/special_forms/Mersenne/
Extractions: Add Update New Popular The Mersenne primes are primes of the form 2 p -1 where p is a prime number. These are usually the largest known prime and are certainly the most studied. Below are links to pages containing information on these important primes. Top theory special forms : Mersenne Next 10 of 11 links Resources in theory : special forms : Mersenne A search for a factor of 2^(2^61-1)-1 - An organized search for a factor of this double Mersenne number. Theory, free software, and status.
Nombre Premier De Mersenne - Wikipedia Translate this page est un nombre premier s'écrivant sous la forme 2 p - 1. Ces nombres premiers doiventleur nom à un mathématicien français du XVIIe siècle, marin mersenne. http://fr.wikipedia.org/wiki/nombre_premier_de_Mersenne
Extractions: Accueil Modifications récentes Modifier cette page Historique Pages spéciales Préférences Liste de suivi Modifications récentes Copier un fichier Liste des images Liste des participants Statistiques Une page au hasard Pages orphelines Images orphelines Les plus populaires Les plus demandées Articles courts Articles longs Nouvelles pages Toutes les pages Adresses IP bloquées Page de Maintenance Librairies en ligne Version imprimable Discuter Autres langues: English Un article de Wikipédia, l'encyclopédie libre. Un nombre premier de Mersenne est un nombre premier s'écrivant sous la forme 2 p - 1. Ces nombres premiers doivent leur nom à un mathématicien français du XVIIe siècle Marin Mersenne Les premiers nombres premiers de Mersenne sont: 3, 7, 31, 127. Au 24 octobre 2002, seulement 39 nombres premiers de Mersenne ont été découverts et vérifiés. Les nombres premiers de Mersenne sont en connexion avec les nombres parfaits , qui sont les nombres égaux à la somme de leurs diviseurs propres. C'est cette connexion qui a motivé historiquement l'étude des nombres premiers de Mersenne. Dès le IVe siècle av. J.-C.
Untitled Notable mathematicians who revived the activity in Number theory in this period areFather marin mersenne (15881648), Pierre de Fermat (1601-1665), Leonhard http://www.math.ucla.edu/~hida/106.1.02f/Hist3.html
Extractions: Marin Mersenne had a great interest in learning from intellectuals at the time and was an able physicist and mathematician (and Jesuit-educated friar). He started organizing a regular meeting of mathematicians at his monastery. He also wrote many letters to his fellow mathematicians, which plays a role of scientific journals at present day in publicizing theorems newly proven and problems newly solved. Although he did not make much contributions in creating new knowledge, he had capacity of understanding new ideas coming out of creative mathematicians who participated in his gathering. In this sense, he contributed to the advancement of knowledge offering a place of discussing Mathematics and Science to those who can make Scientific research. His main contribution to Number Theory is: This is related to the study of perfect numbers. By the perfect number formula of Euclid (text page 461, and historical note 2), 2^( p M(p) is a perfect number. Later Euler proved that all even perfect numbers are in such a form. Mersenne knew that
Mersenne Prime Search An organized search for mersenne prime numbers. Free software provided.Category Science Math Number Theory Prime Numbers mersenne GIMPS uses the LucasLehmer primality test which takes advantage of the specialproperties of mersenne numbers. 39th Known mersenne Prime Found!! http://www.mersenne.org/prime.htm
Extractions: NEW! Version 22! GIMPS Forums! Pages available in Danish Dutch French German ... Polish , and Spanish . Warning: These translations may not be up-to-date - use AltaVista as necessary. 62722^131072 + 1 prime. At 628,808 digits this is the 5th largest known prime number. This moves GIMPS first prime discovery, M1398269, into 6th place. Now I must change the banner of every mersenne.org web page! Congratulations to discoverer Michael Angel and to Yves Gallot who wrote the program that discovered this generalized Fermat prime. M6972593 is the 38th Mersenne prime. GIMPS has finished testing and double-checking all Mersenne numbers below M6972593. This proves there are no smaller undiscovered Mersenne primes. Version 22 released. Although not a required upgrade, this new version has many small improvements over version 21. The download page has the full details. GIMPS forums. Here you can chat with fellow GIMPS members, get help with installation questions, learn more about how GIMPS works, etc. 39th Known Mersenne Prime Found!!
Elementary Number Theory - Kenneth H. Rosen Primes History, Theorems, and Lists) Biographical information about marin Mersennecan be found at the MacTutor History of Mathematics Archive at http//www http://www.aw.com/rosen/resourcesc_7.html
