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The 32nd Mersenne Prime - Predicted by Mersenne is presented here in a high quality paperback edition. This popular classic work by David Slowinski is in the English language. If you enjoy the works of David Slowinski then we highly recommend this publication for your book collection. ... Read more

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Les achats comprennent une adhésion à l'essai gratuite au club de livres de l'éditeur, dans lequel vous pouvez choisir parmi plus d'un million d'ouvrages, sans frais. Le livre consiste d'articles Wikipedia sur : Great Internet Mersenne Prime Search, Cluster Beowulf, Grille Informatique, Calcul Parasitaire, Seti@home, Liste Des Projets Boinc, Informatique Dans Les Nuages, Neugrid, Folding@home, Décrypthon, Middleware, Berkeley Open Infrastructure for Network Computing, Climateprediction.net, International Mathematics and Statistics Library, World Community Grid, Ferme de Rendu, Architecture Distribuée, Common Object Request Broker Architecture, Distributed.net, Einstein@home, Seventeen or Bust, Scalr, Remote Method Invocation, Pihex, Similarity Matrix of Proteins, Knowarc, Rosetta@home, Illusions de L'informatique Distribuée, Lhc@home, Yoyo@home, Extensibilité, Enabling Grids for E-Science, Transparence, Algorithme de Naimi-Trehel, Planetquest, Passage de Messages, George Woltman, Planetlab, Fightaids@home, Vijay S. Pande, Xgrid, Abc@home, Proteins@home, Malaria Control, Ralph@home, Global Processing Unit, Virtual Planet Earth, Search for Extraterrestrial Radio Emissions From Nearby Developed Intelligent Populations. Non illustré. Mises à jour gratuites en ligne. Extrait : SETI@home ("SETI at home", pouvant se traduire par "SETI à la maison") est un projet de calcul distribué utilisant des ordinateurs branchés sur l'Internet. Il est hébergé par le Space Sciences Laboratory de l'Université de Californie, Berkeley. SETI est un acronyme pour Search for Extra-Terrestrial Intelligence (que l'on pourrait traduire par "Recherche d'une intelligence extraterrestre"). SETI@home est accessible au public depuis le 17 mai 1999. Il y avait deux buts originaux à SETI@home. Le premier était de prouver la fonctionnalité et la viabilité du calcul distribué. Le deuxième était de faire du travail scientifique en supportant une analyse observationn...http://booksllc.net/?l=fr ... Read more

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High Quality Content by WIKIPEDIA articles! The Great Internet Mersenne Prime Search (GIMPS) is a collaborative project of volunteers who use freely available computer software to search for Mersenne prime numbers. The project was founded by George Woltman, who also wrote the software Prime95 and MPrime for the project. Scott Kurowski wrote the PrimeNet server that supports the research to demonstrate Entropia-distributed computing software, a company he founded in 1997. GIMPS is registered as Mersenne Research, Inc. The project has found a total of thirteen Mersenne primes as of 14 October 2009 (2009 -10-14), eleven of which were the largest known prime number at their respective times of discovery. The largest known prime as of June 2009 is 243,112,609 − 1 (or M43,112,609 in short). This prime was discovered on 23 August 2008 by Edson Smith at the University of California, Los Angeles (UCLA)'s Mathematics Department. This prime allowed GIMPS to win the $100,000 prize from Electronic Frontier Foundation for discovering a prime with more than 10 million decimal digits. Refer to the article on Mersenne prime numbers for the complete list of GIMPS successes. ... Read more

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Chapters: Twin Prime, Mersenne Prime, Fermat Number, Sophie Germain Prime, List of Prime Numbers, Wieferich Prime, Wolstenholme's Theorem, Prime Quadruplet, Strong Prime, Safe Prime, Unique Prime, Full Reptend Prime, Pierpont Prime, Ramanujan Prime, Sexy Prime, Fibonacci Prime, Wagstaff Prime, Palindromic Prime, Chen Prime, Regular Prime, Truncatable Prime, Eisenstein Prime, Dihedral Prime, Wall-Sun-Sun Prime, Permutable Prime, Higgs Prime, Cousin Prime, Primorial Prime, Stern Prime, Prime Triplet, Super-Prime, Cuban Prime, Wilson Prime, Factorial Prime, Supersingular Prime, Balanced Prime, Minimal Prime, Strobogrammatic Prime, Newman-Shanks-Williams Prime, Pillai Prime, Pythagorean Prime, Emirp, Good Prime, Solinas Prime, Gaussian Prime, Left-Truncatable Prime, Right-Truncatable Prime, Highly Cototient Prime, Double Mersenne Prime, Woodall Prime, Proth Prime, Motzkin Prime, Lucky Prime, Lucas Prime, Happy Prime, Repunit Prime, Long Prime, Right Prime, Fortunate Prime, Genocchi Prime, Mills Prime, Cullen Prime, Irregular Prime. Source: Wikipedia. Pages: 224. Not illustrated. Free updates online. Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: There are infinitely many prime numbers. Prime numbers may be generated with various formulas for primes. The first 500 are listed below, followed by lists of the first prime numbers of various types in alphabetical order. There are 20 consecutive primes in each of the 25 rows. (sequence A000040 in OEIS). The Goldbach conjecture verification project reports that it has computed all primes below 10. That means 24,739,954,287,740,860 primes, but they were not stored. There are known formulas to evaluate the prime-counting function (the number of primes below a given value) faster than computing the primes. This has been used to compute that there are 1,925,320,391,606,803,968,923 primes (ro...More: http://booksllc.net/?id=442370 ... Read more

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This digital document is an article from Journal of the South Carolina Academy of Science, published by Thomson Gale on September 22, 2003. The length of the article is 2196 words. The page length shown above is based on a typical 300-word page. The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase. You can view it with any web browser.

Citation Details
Title: Some notes on multiplicative congruential random number generators with Mersenne prime modulus [2.sup.61]-1.
Author: James Harris
Publication: Journal of the South Carolina Academy of Science (Magazine/Journal)
Date: September 22, 2003
Publisher: Thomson Gale
Volume: 1Issue: 1Page: 28(5)

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Chapters: Prime Number, Factorial, Binomial Coefficient, Perfect Number, Carmichael Number, Integer Sequence, Mersenne Prime, Bernoulli Number, Euler Number, Fermat Number, Square-Free Integer, Amicable Number, Stirling Number, Partition, Lah Number, Super-Poulet Number, Arithmetic Progression, Derangement, Composite Number, On-Line Encyclopedia of Integer Sequences, Pell Number, Catalan Number, Power of Two, Sylvester's Sequence, Regular Number, Polite Number, Ménage Problem, Greedy Algorithm for Egyptian Fractions, Hofstadter Sequence, Elliptic Divisibility Sequence, Powerful Number, Znám's Problem, Bell Number, Singly and Doubly Even, Hyperperfect Number, Strict Weak Ordering, Calkin-wilf Tree, Beatty Sequence, Practical Number, Padovan Sequence, Highly Composite Number, Triangular Number, King Wen Sequence, Eulerian Number, Square Triangular Number, Figurate Number, Lucas Sequence, Squared Triangular Number, Perrin Number, Multiplicative Partition, Cube, Smooth Number, Primorial, Lambek-moser Theorem, Meander, Primefree Sequence, Small Set, Harmonic Divisor Number, Friendly Number, Lazy Caterer's Sequence, Semiprime, Abundant Number, Perfect Totient Number, Juggler Sequence, Antichain, Perfect Power, Lucas Number, Cullen Number, Double Mersenne Number, Superabundant Number, Strictly Non-Palindromic Number, Boustrophedon Transform, Somos Sequence, Woodall Number, Lucky Number, Highly Abundant Number, Leyland Number, Factorion, Primary Pseudoperfect Number, Ban Number, Weird Number, Jacobsthal Number, Sociable Number, Almost Prime, Superperfect Number, Motzkin Number, Pronic Number, Ulam Numbers, Carol Number, Refactorable Number, Idoneal Number, Euclid-mullin Sequence, Deficient Number, Thabit Number, Alternating Factorial, Primorial Prime, Achilles Number, Semiperfect Number, Fractal Sequence, Untouchable Number, Erdős-woods Number, Multiply Perfect Number, Sphenic Number, Blum Integer, Zeisel Number, Giuga Number, Nontoti...More: http://booksllc.net/?id=4964 ... Read more

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Les achats comprennent une adhésion à l'essai gratuite au club de livres de l'éditeur, dans lequel vous pouvez choisir parmi plus d'un million d'ouvrages, sans frais. Le livre consiste d'articles Wikipedia sur : Great Internet Mersenne Prime Search, Nombre Parfait, 7, 3, 31, Mersenne Twister, 2305843009213693951, 127, Test de Primalité de Lucas-Lehmer Pour Les Nombres de Mersenne, Nouvelle Conjecture de Mersenne, Nombre Double de Mersenne, 2 147 483 647. Non illustré. Mises à jour gratuites en ligne. Extrait : 7 (sept) est l'entier naturel suivant 6 et précédant 8. Le nombre 7 est un des nombres les plus marquants. Il est en relation étroite avec l'histoire humaine (les sept merveilles du monde...), la symbolique des religions (les 7 jours de la semaine, les 7 péchés capitaux...) et la science (les 7 systèmes cristallins, les 7 unités de base du système international,...). Il représente la perfection et est considéré comme un nombre magique. Le mot sept vient du latin septem « sept », dont la racine se retrouve dans toutes les langues indo-européennes : germanique *sebun (gotique sibun, allemand sieben, anglais seven), vieux slave sedmĭ, lithuanien septyni, celtique *sextan (vieil irlandais secht, gallois saith, breton seiz et sanskrit saptá, tous de l'indo-européen *septm. Les mots arabe sebt et hébreu shabat signifient tous deux « septième jour » (le samedi chrétien qui est le sixième). Le préfixe du système international pour 1000 est zetta (Z), et pour son inverse zepto (z). Au départ, divers hindous écrivaient 7 plus ou moins en une boucle comme une courbe qui ressemble à la majuscule J la tête en bas. La contribution principale des Arabes occidentaux Ghubar fut de créer la ligne plus longue diagonale plutôt que droite, bien qu'ils montrèrent certaines tendances à rendre la caractère plus rectiligne. Les Arabes orientaux développèrent le caractère à partir d'une forme de 6 vers un caractère ressemblant au V majuscule. Les ...http://booksllc.net/?l=fr ... Read more

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The 32nd Mersenne Prime, FOUND is a popular classic work written by Math Books. This kindle digital edition of The 32nd Mersenne Prime, FOUND has been professionally designed and maintains the quality of the original classic publication. The 32nd Mersenne Prime, FOUND is highly recommended for those who enjoy the writings of Math Books and also those discovering the works of Math Books for the first time. ... Read more

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Chapters: Prime Number, Prime Number Theorem, Ulam Spiral, Great Internet Mersenne Prime Search, Dirichlet's Theorem on Arithmetic Progressions, Illegal Prime, Sierpinski Number, Composite Number, Table of Prime Factors, List of Prime Numbers, Prime-Counting Function, Formula for Primes, Primes in Arithmetic Progression, Prime Gap, Proof That the Sum of the Reciprocals of the Primes Diverges, Repunit, Wilson's Theorem, Proof of Bertrand's Postulate, Cunningham Chain, Primegrid, Wolstenholme's Theorem, Smarandache Function, Primorial, Goldbach's Comet, Prime K-Tuple, Linnik's Theorem, Euclid's Theorem, 2147483647, Semiprime, Furstenberg's Proof of the Infinitude of Primes, Ruth-aaron Pair, Largest Known Prime Number, Mills' Constant, Brun's Theorem, Prime Power, Almost Prime, Generating Primes, Chen's Theorem, Green-tao Theorem, Euclid-mullin Sequence, Riesel Number, Prime Signature, Smarandache-wellin Number, Riesel Sieve, Copeland-erdős Constant, Sphenic Number, Wieferich@home, Fortunate Number, Wieferich Pair, Primeval Number, Prime Constant, Mertens' Theorems, Sacks Spiral, Prime Pages, Twin Prime Search, Megaprime, Titanic Prime, Brun-titchmarsh Theorem, Friedlander-iwaniec Theorem, Superprime, Gigantic Prime, the Music of the Primes, Backhouse's Constant, Industrial-Grade Prime, Lucky Numbers of Euler, Vantieghems Theorem, Interprime, Rosser's Theorem, 2305843009213693951. Source: Wikipedia. Pages: 302. Not illustrated. Free updates online. Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: In mathematics, a prime number (or a prime) is a natural number that has exactly two distinct natural number divisors: 1 and itself. The first twenty-five prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.An infinitude of prime numbers exists, as demonstrated by Euclid around ...More: http://booksllc.net/?id=23666 ... Read more

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Purchase includes free access to book updates online and a free trial membership in the publisher's book club where you can select from more than a million books without charge. Chapters: Perfect Number, Mersenne Prime, 6, 28, List of Perfect Numbers, 496, 8128. Excerpt:27 29 28 28 ( twenty-eight ) is the natural number following 27 and preceding 29. In mathematics It is a composite number , its proper divisors being 1 , 2 , 4 , 7 , and 14. Twenty-eight is the second perfect number . As a perfect number, it is related to the Mersenne prime 7, since 2 (2 - 1) = 28. The next perfect number is 496, the previous being 6 . Twenty-eight is the sum of the totient function for the first nine integers. Twenty-eight is not the aliquot sum of any number other than itself and is therefore not a component in an aliquot sequence . Since the greatest prime factor of 28 + 1 = 785 is 157, which is more than 28 twice, 28 is a Størmer number . Twenty-eight is a harmonic divisor number , a happy number , a triangular number , a hexagonal number ,and a centered nonagonal number . It appears in the Padovan sequence , preceded by the terms 12, 16, 21 (it is the sum of the first two of these). It is also a Keith number , because it recurs in a Fibonacci -like sequence started from its base 10 digits: 2, 8, 10, 18, 28... Twenty-eight is the third positive integer with a prime factorization of the form 2 q where q is an odd prime . Twenty-eight is the ninth and last number in early Indian magic square of order 3. There are twenty-eight convex uniform honeycombs . Twenty-eight is the only positive integer that has a unique Kayles nim-value . In science Astronomy In other fields Twenty-eight is: item An abbreviation for such years as 1928 and 2028. item In Gematriya , the system of Hebrew Numerolo... ... Read more

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This digital document is an article from Science and Its Times, brought to you by Gale®, a part of Cengage Learning, a world leader in e-research and educational publishing for libraries, schools and businesses.The length of the article is 419 words.The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase.You can view it with any web browser.The histories of science, technology, and mathematics merge with the study of humanities and social science in this interdisciplinary reference work. Essays on people, theories, discoveries, and concepts are combined with overviews, bibliographies of primary documents, and chronological elements to offer students a fascinating way to understand the impact of science on the course of human history and how science affects everyday life. Entries represent people and developments throughout the world, from about 2000 B.C. through the end of the twentieth century. ... Read more

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Prime Number. Natural Number, Divisor, Prime Number Theorem, Primality Test, Largest known Prime Number, Mersenne Prime, Formula for Primes, Prime-Counting Function, Euclid's Theorem, Prime Gap, Riemann Hypothesis, Modular Arithmetic, Integral Domain, Prime Power, Prime Ideal, Fundamental Theorem of Arithmetic, Article Sources and Contributors, Image Sources, Licenses and Contributors ... Read more