41. Biography Of Marin Mersenne Biographies of Mathematiciansmarin mersenne. (1588-1648). marin mersenne was a17th century monk and mathematician, who mainly studied the numbers 2 p - 1. http://www.andrews.edu/~calkins/math/biograph/biomerse.htm

Back to the Table of Contents Biographies of Mathematicians-Marin Mersenne His Life Marin Mersenne was a 17th century monk and mathematician, who mainly studied the numbers 2 p Marin Mersenne is best known for his role as a sort of clearing house for correspondence between eminent philosophers and scientists, and for his work in number theory. Mersenne's Accomplishments Many early writers felt that the numbers of the form 2 p - 1 were prime for all primes p, but in 1536 Hudalricus Regius showed that 2 - 1 = 2047 was not prime. By 1603 Pietro Cataldi had correctly verified that 2 - 1 and 2 - 1 were both prime, but then incorrectly stated 2 n -1 was also prime for 23, 29, 31 and 37. In 1640 Fermat showed Cataldi was wrong about 23 and 37; then Euler in 1738 showed Cataldi was also wrong about 29. Sometime later Euler showed Cataldi's assertion about 31 was correct. Marin Mersenne investigated prime numbers and he tried to find a formula that would represent all prime numbers. Although he failed in this, his work on the numbers 2

42. THE MERSENNE PAGE - (Marin Mersenne - 1588-1648) - Biography - Bibliography - In FLORIDA. marin mersenne (15881648) mersenne - Biography - RA Hatch.mersenne Bibliography - mersenne Bibliography - RA Hatch. mersenne http://web.clas.ufl.edu/users/rhatch/pages/03-Sci-Rev/SCI-REV-Home/sr-major-figu

The Mersenne Page - Mersenne Galilei - Biography - Bibliography - Information - Links - Dr Robert A. Hatch T H E M E R S E N N E P A G E DR ROBERT A. HATCH - UNIVERSITY OF FLORIDA Marin Mersenne (1588-1648) Mersenne - Biography - R.A. Hatch Mersenne Bibliography - Mersenne Bibliography - R.A. Hatch Mersenne Chronology - Mersenne's Life - Chronology - R.A. Hatch The Scientific Revolution - Table of Contents rah.aug.2002 BACK - HOME

43. Marin Mersenne Balance marin mersenne balance 1072. This is an example of the famous marin mersenne balance,an apparatus to estimate the forces that animate bodies in movement . http://www.fis.uc.pt/museu/58ing.htm

M arin Mersenne balance 156 x 45.5 x 21 Carved wood, steel and brass INDEX 1788 : I.V.181 Physices Elementa T his is an example of the famous Marin Mersenne balance, an apparatus to estimate the "forces that animate bodies in movement". This matter is of great importance, not only for the benefit to be gained by knowing about it, but also for the significance which it acquired in the history of scientific thought. During the 17th and 18th centuries the subject was debated with great enthusiasm, and some of the most notable physicists and philosophers contributed to the discussion. The physicists of this time agreed that bodies in movement were animated by "forces" which they were able to measure, indirectly, by studying the effects that they produced. The fundamental issue at stake is, as can easily be concluded, the concept of energy and not force. The intellectual climate had long been prepared for the emergence of the concept of energy but, since scientific knowledge had not reached sufficient maturity to formulate it, this became something of a battle as there were no words to express what was wanted and the argumentation became entangled in a confused web. Descartes, attempting to evaluate the "forces that animated bodies in movement" through the effects that they produced, concluded that it was possible to do this by knowing the mass and speed of the body, and that the "force" would be proportional to any one of these measurements. Descartes thus identified the "force" with the "quantity of motion" of the body. Alongside Descartes other famous names were to be found, such as Father Mersenne, Gassendi, Desaguliers, Maclaurin, Jurin, Varignon, etc.

44. Balança De Marin-Mersenne Translate this page Balança de marin-mersenne 156 x 45,5 x 21 Madeira esculpida, aço e latão. Balançade P. marin mersenne que está optimamente representada na Fig. 4, Tab. http://www.fis.uc.pt/museu/58.HTM

B alança de Marin-Mersenne 156 x 45,5 x 21 INDEX 1788 : I.V.181 Bilanx Pat. Marini Mersenni, quae optime repraesentatur a Fig. 4. Tab. XXXV. Physices Elem. S Grav. et ab eodem describitur pag. 292. 1072. Physices Elementa T Physices Elementa Physices Elementa , afirmava no Tomo II das , Coimbra, 1978, pp. 329-334. 's Gravesande, Willem Jacob, Physices Elementa A nterior ndice S ... eguinte

45. EpistemeLinks.com: Philosopher Results marin mersenne. Born 9/8/1588 Died 9/1/1648. Brief Reference Materials.Site Title, Details. marin mersenne, Source Galileo Project. marin mersenne, http://www.epistemelinks.com/Main/Philosophers.aspx?PhilCode=Mers

46. EpistemeLinks.com: Encyclopedia And Other References Results marin mersenne. Born 9/8/1588 Died 9/1/1648. mersenne Title, Resource.marin mersenne, Encyclopedia Britannica. Extend your search Noesis http://www.epistemelinks.com/Main/EncyRefs.aspx?PhilCode=Mers

47. The Angel And The Compass: Athanasius Kircher’s Geographical Project British Library, Add. ms. 4279, ff. 145r146v mersenne, marin Treatise onthe magnet, 1639?, published in mersenne, Correspondance, VIII, 754-762. http://www.stanford.edu/group/shl/Eyes/angel/bibliography.htm

essay illustrations bibliography The Angel and the Compass: Athanasius Kircher’s Geographical Project M.J. Gorman BIBLIOGRAPHY Manuscripts Archivio della Pontificia Università Gregoriana, Rome, (= APUG) 555-568 ( Correspondence of Athanasius Kircher , also available via Internet at: http://archimede.imss.firenze.it/kircher/index.html Archivum Romanum Societatis Iesu, Rome (= ARSI) Congr. 7 ff. 46r-48v: Acta Congregationis Procuratorum anni 1639 Archivum Romanum Societatis Iesu, Rome, (= ARSI) Ven. 40. Catalogi Triennales British Library, Add. ms. 4279, ff. 145r-146v: Mersenne, Marin [Treatise on the magnet, 1639?], published in Mersenne, Correspondance , VIII, 754-762 Houghton Library, Harvard University, Fms. Lat. 306. 1 (3) Letter from Athanasius Kircher to Marin Mersenne, Rome, 23 December 1639 [A copy, apparently in the hand of Gabriel Naudé]. Printed sources Boyle, Robert, 1772, The Works of the Honourable Robert Boyle , 6 vols., ed. Thomas Birch, 2nd edition, London: Rivington Clavius, Christoph, 1992. Christoph Clavius: Corrispondenza

48. Athanasius Kircher's Magnetic Clock marin mersenne, OFM, Min. (15881648 Portrait of marin mersenne. LikePeiresc in Aix-en-Provence and Kircher in Rome, the Minim friar http://www.stanford.edu/~mgorman/kircher/mersenne.html

Marin Mersenne, O.F.M., Min. (1588-1648) Site map Timeline Reconstruction Acknowledgements Portrait of Marin Mersenne Like Peiresc in Aix-en-Provence and Kircher in Rome, the Minim friar Marin Mersenne occupied the central node of extremely important correspondence network. At his cell in the convent of the Minims near the Place Royale in Paris, Mersenne organized informal meetings of scholars and natural philosophers, to discuss issues ranging from music to experiments in mechanics. As well as publishing numerous books of his own, from subjects ranging from music theory to biblical exegesis, Mersenne played an active role in keeping his many correspondents informed of the latest discoveries and developments in his many fields of interest. Typically, Mersenne was extremely quick to hear the news of Line's magnetic clock. Godefrid Wendelin's description of the clock was sent to Mersenne on 15 June 1633, even before sentence had been passed on Galileo in Rome. Recommended external sites on Mersenne Biography from the Galileo Project, Rice University

49. GIMPS Is The (Great Internet Mersenne Prime Search) mersenne numbers are named after the French monk marin mersenne (15881648). Clickfor a larger image of marin mersenne. marin mersenne (1588-1648). http://ws9.jobnegotiator.com/html/gimps.html

GIMPS is the (Great Internet Mersenne Prime Search) External links GIMPS Home Page (SW) GIMPS Software (ftp) (IF) Dr. Caldwell's page (SW) Marin Mersenne (IF) ... GIMPS Top Producers (IF) Chapter links GIMPS Distributed Computing A bit of theory The start of GIMPS ... Monetary Awards Note: Some of the information on this page is direct copy of text from Dr. Chris K. Caldwell's Prime Pages , although restructured for my purpose. I highly recommend that anyone who wants to know more about primes read through his pages as they contain a wealth of information. GIMPS Over the last few years millions of computers have been crunching away the days and nights on many different distributed computing projects , looking for answers in the fields of mathematics, biotechnology and astronomy. These distributed computing projects are vast undertakings; even by breaking up the work into millions of smaller pieces running on several Terra Hertz (THz) of computing power, most of them have yet to return visible results. One project that has returned several results is The 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). The goal of the GIMPS project is as the name states, to find new Mersenne prime numbers. In all of history only

50. Links : Le Tombeau De Philosophe Jacob Böhme. Jacob Böhme. Jacob Böhme. marin mersenne ( 1588 1648 ). Luke'smarin mersenne Page. marin mersenne. mersenne, marin. References for mersenne. http://pseudo-poseidonios.net/link/link5.htm

L e Tombeau de Philosophe Johann Eckhart ( 1260 - 1328 ) Meister Eckhart Home Page The Eckhart Society Theologia Germanica ( Anonymous 14th Century ) Theologia Germanica Theologia Germanica ( CCEL ) Giordano Bruno ( 1548 - 1600 ) Giordano Bruno Giordano Bruno Jacob Boehme Resources Marin Mersenne ( 1588 - 1648 ) Luke's Marin Mersenne Page Marin Mersenne Mersenne, Marin References for Mersenne Benedict de Spinoza ( 1632 - 1677 ) Studia Spinoziana The Spinoza Project Benedictus de Spinoza A Dedication to Spinoza's Insights Giambattista Vico ( 1668 - 1744 ) Giambattista Vico Home Page Vico Henri Bergson ( 1859 - 1941 ) Henri Bergson Biography of Henri Bergson Great Books Index - Henri Bergson Ernst Cassirer ( 1874 - 1945 ) International Ernst Cassirer Society Cassirer and Symbolic Form Back to on an overgrown path Back to index.htm

51. Factoids > Mersenne Prime conjectures, Luke Welsh's marin mersenne Page biographies, primenumber lists, algorithms, bibliography, marin mersenne. A http://www-users.cs.york.ac.uk/~susan/cyc/m/mersenne.htm

Mersenne prime A prime number of the form where p is prime. The Mersenne number Mp is prime for exponent p For all other prime exponents less than Mp is composite, and for those less than 10,412,700 it is probably composite. ... it is the greatest that will ever be discovered for, as they are merely curious without being useful, it is not likely that any person will attempt to find one beyond it. Peter Barlow 1811, on M Mersenne numbers have a particulary simple test for primality, the Lucas-Lehmer test The number-theoretic interest in Mersenne primes comes from the following theorem: if m and n are natural numbers, with n greater than 1, and if m n -1 is prime, then m is 2 and n is prime. Each Mersenne prime corresponds to an even perfect number The GREAT Internet Mersenne Prime Search help find another Mersenne prime! Chris Caldwell's Mersenne Primes Page history, lists, theorems, conjectures, ... Luke Welsh's Marin Mersenne Page biographies, prime number lists, algorithms, bibliography, ...

52. Mersenne On The Moon Lunar crater Mersenius. Named after marin mersenne; position 21.5°S 49.2°Wdiameter 84.0 km name adopted 1935; Gazetteer of Planetary Nomenclature. http://www-users.cs.york.ac.uk/~susan/cyc/m/m-moon.htm

Mersenne on the Moon Lunar crater Mersenius Named after: Marin Mersenne position: diameter: 84.0 km name adopted: Gazetteer of Planetary Nomenclature Zoom in for more detail

53. Marin Mersenne, Martin Aigner Translate this page marin mersenne, Martin Aigner In der unten angebenen Quellen sind zurHerkunft des Beweises leider keine weiteren Angaben zu finden http://www.turing-maschine.de/daten/mathematic/beweise/primenumbers-mersenne.htm

Marin Mersenne, Martin Aigner In der unten angebenen Quellen sind zur Herkunft des Beweises leider keine weiteren Angaben zu finden, daher sind der Namensgeber der im Beweis benutzten Zahlen und der erste Verfasser der Quelle angegeben. p - 1. Sei q nun ein beliebiger Primteiler dieser Mersenne-Zahl, dann gilt 2 p Z q Z q Martin Aigner, Günther M. Ziegler, Das BUCH der Beweise, Springer-Verlag 2002 Martin Aigner, Günther M. Ziegler, Proofs from THE BOOK, Springer-Verlag 1998 www.mathematic.de

54. Xrefer - Search Results - Marin Mersenne Search results 1 to 2 of 2 for search term marin mersenne. mersenneMersennus marin La Soultiere, Maine, France 1588 Paris 1648. http://www.xrefer.com/results.jsp?shelf=&term=Marin Mersenne

55. About "Who Was Marin Mersenne?" Who was marin mersenne? Library Home Full Table of Contents Suggest a Link Library Help Visit this site http//www.scruznet.com/~luke/mersenne.htm. http://mathforum.org/library/view/3453.html

Who was Marin Mersenne? Library Home Full Table of Contents Suggest a Link Library Help Visit this site: http://www.scruznet.com/~luke/mersenne.htm Author: Luther Welsh Description: It was not until the mid 20th century that Mersenne became known primarily for his Prime Number Conjecture. Historically, he was much better known for his correspondence with leading scientists of the day. Interested in optics, he also been called the Father of Acoustics. This page includes links to information about the man himself and to other pages about Mersenne Primes. Levels: Middle School (6-8) High School (9-12) College Languages: English Resource Types: Articles Books Math Topics: Prime Numbers History and Biography Acoustics Optics ... Search http://mathforum.org/ webmaster@mathforum.org

56. Mersenne marin mersenne (8 Sept 1588 in Maine, France 1 Sept 1648 in Paris).marin mersenne attended school at the College of Mans, then http://www.mathematik.ch/mathematiker/mersenne.php

Home Geschichte Mathematiker Zitate ... Suche Marin Mersenne (8 Sept 1588 in Maine, France - 1 Sept 1648 in Paris) Marin Mersenne attended school at the College of Mans, then, from 1604 spent five years in the Jesuit College at La Fleche. From 1609 to 1611 he studied theology at the Sorbonne. Mersenne joined the religious order of the Minims in 1611. The name of the order comes since the Minims regard themselves as the least (minimi) of all the religious; they devote themselves to prayer, study and scholarship. Mersenne continued his education within the order at Nigeon and then at Meaux. He returned to Paris where in 1612 he became a priest at the Place Royale. He taught philosophy at the Minim convent at Nevers from 1614 to 1618. In 1619 he returned again to Paris to the Minims de l'Annociade near Place Royale. His cell in Paris became a meeting place for Fermat, Pascal, Gassendi, Roberval, Beaugrand and others who later became the core of the French Academy. Mersenne corresponded with other eminent mathematicians and he played a major role in communicating mathematical knowledge throughout Europe at a time when there were no scientific journals. Mersenne investigated prime numbers and he tried to find a formula that would represent all primes. Although he failed in this, his work on numbers of the form

57. Biographie Sommaire De Marin Mersenne Translate this page marin mersenne, L'Hydraule. Biographie sommaire. marin mersenne.En construction - En construction - En construction - En http://perso.club-internet.fr/smcj/bureau/biblio/mersenne/biog_mer.htm

Marin M ERSENNE Biographie sommaire Marin M ERSENNE

58. Philosophical Dictionary: Mead-Mersenne mersenne, marin (15881648). French priest. Through his own voluminouscorrespondence, mersenne kept several early modern philosophers http://www.philosophypages.com/dy/m5.htm

Philosophy Pages F A Q Dictionary ... Locke Mead, George Herbert American philosopher who applied the principles of pragmatism to the development of the modern discipline of sociology. In The Social Self (1913), Mead developed a notion of self-consciousness grounded in social interaction that would be more fully explained in Mind, Self, and Society from the Standpoint of a Social Behaviorist at Amazon.com Recommended Reading: George Herbert Mead, Essays on Social Psychology at Amazon.com Philosophy, Social Theory, and the Thought of George Herbert Mead at Amazon.com G.H. Mead: A Contemporary Re-Examination of His Thought at Amazon.com George Herbert Mead: The Making of a Social Pragmatist at Amazon.com Also see George's Page IEP BGHT ColE ... OCP , and ELC mean mesoV mesos The middle way between too much and too little of something. Aristotle held that virtue is always a mean between vicious extremes of excess and deficiency. Recommended Reading: Aristotle, The Nicomachean Ethics at Amazon.com Aristotle, Virtue and the Mean at Amazon.com The Golden Mean at Amazon.com

59. Encyclopædia Britannica Major Works from mersenne, marin Among mersenne's many publications are Les méchaniquesde Galilée (1634), the first published version of Galileo's early work http://search.britannica.com/search?query=Cheech Marin

60. Marin Mersenne Translate this page marin mersenne. marin mersenne frequentò il college di Mans, poi, a partiredal 1604 passò cinque anni al collegio gesuita di La Fleche. http://www.itis-molinari.mi.it/documents/scienza/cartesio/padremer.htm

Marin Mersenne Morto il 1 settembre 1648 a Parigi, Francia Marin Mersenne frequentò il college di Mans, poi, a partire dal 1604 passò cinque anni al collegio gesuita di La Fleche. Dal 1609 al 1611 studiò teologia nel Sorbonne. Mersenne indagò sui numeri primi e provò a trovare una formula che rappresentasse tutti i numeri primi. Sebbene abbia fallito in questo proposito, il suo lavoro sui numeri primi diede una formula: 2^p-1, p primo. Questa ha continuato a interessare la ricerca sui grandi primi. È semplice dimostrare che se un numero n=2^p-1 è primo p deve essere primo. Nel 1644 Mersenne disse che n è primo se p=2, 3, 5, 7, 13, 17, 19, 31, 67, 127 e 257 ma non lo è per gli altri 44 numeri primi minori di 257. Nel 1633 Mersenne pubblicò il "Traitè des mouvements", e nel 1634 pubblicò "La mechanique de Galilée" che era una versione di una conferenza di Galileo sulla meccanica. Tradusse in francese parte del "Dialogo" di Galileo e nel 1639 pubblicò una traduzione di "Discorsi" di Galileo. È attraverso Mersenne che il lavoro di Galileo divenne famoso anche fuori dall’Italia. Due importanti pubblicazioni di fisica matematica furono "L’Harmonie Universelle" (1636) e "Cogitata Phisico- Mathematica". Mersenne scrisse anche " Traité d’harmonie universelle" (1627), un lavoro sulla musica, gli strumenti musicali e l’acustica.

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