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Sophie Germain Prime -- From MathWorld sophie germain Prime, A prime p is said to be a sophie germain prime if bothp and are prime. Dubner, H. Large sophie germain Primes. Math. Comput. http://mathworld.wolfram.com/SophieGermainPrime.html
Extractions: A prime p is said to be a Sophie Germain prime if both p and are prime . The first few Sophie Germain primes are 2, 3, 5, 11, 23, 29, 41, 53, 83, 89, 113, 131, ... (Sloane's ). Large Sophie Germain primes include , found in 1998 (5117 digits; Hoffman 1998, p. 190), and (20013 digits; Underbakke et al. 2001; cited in Caldwell). It is not known if there are an infinite number of Sophie Germain primes (Hoffman 1998, p. 190). Sophie Germain primes p of the form (which makes a prime ) correspond to the indices of composite Mersenne numbers Around 1825, Sophie Germain proved that the first case of Fermat's last theorem is true for such primes, i.e., if p is a Sophie Germain prime, then there do not exist integers x y , and z different from and not multiples of p such that
Palindromic Sophie Germain Primes Palindromic sophie germain Primes. I recently searched for and found atitanic sophie germain Prime that was palindromic with 1047 digits. http://ksc9.th.com/warut/dubner.html
Extractions: Paramus, NJ 07652-5214 Around 1825, the French mathematician, Sophie Germain (1776-1831) made a major contribution toward proving Fermats Last Theorem. She discovered that when P P + 1 is also prime, then there are no integers, X, Y, Z, not multiples of P , such that X p Y p Z p . In her honor, a prime P, whose companion Q P + 1 is also prime, is called a Sophie Germain Prime. From a mathematical recreation point of view it is interesting to find Sophie Germain primes with peculiar characteristics such as being titanic (1000 digits or more), having all odd digits, ending in many nines, or being palindromic, etc. While it is reasonably easy to select a characteristic for P , the form of 2 P + 1, as you would expect, is beyond control. I recently searched for and found a titanic Sophie Germain Prime that was palindromic with 1047 digits. This is the largest known palindromic Sophie Germain Prime. I sent this to Rudolph Ondrejka, who collects such numbers, and he responded with a complaint (he says he was just teasing, but I dont know if I should believe him) that the companion prime was not palindromic. I had thought about this and was certain that the companion could never be a palindrome (except for the almost trivial cases, 2, 5; 3, 7: 5, 11; 191,383), so I set out to prove it. to my great surprise, it turned out that they both could be palindromes! In fact, it takes about the same time and computer effort to find these double palindromic probable primes as it takes to find any Sophie Germain prime. Actually, proving them primes gets to be more difficult as they get larger since the requirements for both being palindromic prevents the use of forms that are easy to prove prime. Alas, you cant have everything.
Sophie Germain The 4 C's Corey's home page Interesting Mathematicians sophie germain.sophie germain. April 1, 1776 June 27, 1831. by Cathy Anderson. http://www.the4cs.com/~corin/motm/sophie_germain.html
Extractions: The 4 C's Corey's home page Interesting Mathematicians by Cathy Anderson What do Archimedes, Monsieur LeBlanc, Lagrange, Gauss, and Fermat have in common? What or more precisely, who is the common factor for all these names is Sophie Germain, a French mathematician of the late 18th and early 19th centuries. Archimedes: When Sophie was 13, she read about the legend of Archimedes' death: how he was so absorbed in the geometric figure he was drawing in the sand that he ignored the Roman soldier asking him a question and was thus speared to death. This story piqued Sophie's curiosity: to be so involved in a problem that you would die for it mathematics must be an interesting subject! Monsieur LeBlanc: Because she was female, Sophie was not allowed to attend the Ecole Polytechnique in Paris. She was, however, able to study at the Ecole by assuming the identity of Antoine-August LeBlanc, a former student who had left Paris, an d getting his lecture notes and problems. In this way, Sophie was able to continue her mathematics education, even though she could not attend the lectures. Lagrange: Joseph-Louis Lagrange was the supervisor of the course in which Sophie was secretly participating. Lagrange was so impressed by the turn-around of "Monsieur LaBlanc," a student originally of only mediocre skills, that he wanted to meet LaBlanc. Sophie was forced to reveal her identity, but Lagrange was impressed by this young woman and became her mentor and friend.
Marie Sophie Germain Marie sophie germain. Introuction. This fall fields. One of the mathematiciansI researched for the class was sophie germain. This http://www.cs.appstate.edu/~sjg/womeninmath/erika/Intro.html
Sophie Germain Prime - Wikipedia sophie germain prime. (Redirected from germain Primes). A prime pis a sophie germain prime if 2p+1 is also prime. They acquired http://www.wikipedia.org/wiki/Germain_Primes
Extractions: Main Page Recent changes Edit this page Older versions Special pages Set my user preferences My watchlist Recently updated pages Upload image files Image list Registered users Site statistics Random article Orphaned articles Orphaned images Popular articles Most wanted articles Short articles Long articles Newly created articles Interlanguage links All pages by title Blocked IP addresses Maintenance page External book sources Printable version Talk Log in Help (Redirected from Germain Primes A prime p is a Sophie Germain prime if 2 p +1 is also prime. They acquired significance because of Sophie Germain 's proof that Fermat's last theorem is true for such primes. It is conjectured that there are infinitely many Sophie Germain primes, but like the Twin prime conjecture , this has not been proven. There are 190 Sophie Germain primes below 10,000 ( SIDN A005384 A heuristic estimate for the number of Sophie Germain primes less than x is C x / (log x where C is the twin prime constant, approximately 0.660161. For x =10,000 an estimation gives us approximately 413 Sophie Germain primes, which is still too inaccurate.
No. 223: Sophie Germain No. 223 sophie germain by John H. Lienhard Click here for audio of Episode 223. sophiegermain belongs on that list, but she isn't there no women are. http://www.uh.edu/engines/epi223.htm
Extractions: by John H. Lienhard Click here for audio of Episode 223. Today, we meet a lady whose name isn't inscribed in the Eiffel Tower. The University of Houston's College of Engineering presents this series about the machines that make our civilization run, and the people whose ingenuity created them. T he names of 72 important scholars who founded the science and mathematics of structures are written in the Eiffel Tower. Sophie Germain belongs on that list, but she isn't there no women are. Sophie Germain was born into a well-to-do Parisian family in 1776 born into a world that was still hostile to bright women. And she was bright. She was 13 when the French stormed the Bastille, and her parents put her under virtual house arrest to keep her from the dangers of those stormy times. She went off into the large family library and began to teach herself mathematics much to her parents' alarm. They tried to keep her from it by removing the heat and clothing from her bedroom. When they found her asleep and wrapped in bedclothes, among stolen candles, calculations, and a frozen inkwell, they were wise enough to give in. Sophie spent the Reign of Terror studying calculus. By then the French were creating the new field of applied mathematical analysis. The work centered on the Ecole Polytechnique the great French technical university. The Ecole didn't admit women, so she learned by studying other people's class notes. When she started doing original work, she hid her femininity behind the alias M. LeBlanc. She used that name to correspond with two extraordinary mathematicians first with LaGrange and then with Gauss.
Marie Sophie Germain germain, sophie . http://www.brasil.terravista.pt/magoito/1866/Historia/marie.htm
Hotel In Paris Sophie Germain As an echo to the typical Parisian charm of this lively artist, the Hotel sophiegermain gives you a warm welcome. 12 Rue sophie germain Paris, France Home. http://paris.france.allwebhotels.com/hotel.phtml/799/intl/en
Sophie GERMAIN Translate this page 1.5 sophie germain (1776-1831). G. BIDENKAPP sophie germain, ein weiblicher Denker(Jena, 1910). Louis L. BUCCIARELLI und Nancy DWORSKY sophie germain. http://www.desargues.univ-lyon1.fr/home/fem/biblio/biblio-1-5.html
Sophie Germain Hotel sophie germain Hotel. As an echo of the typical Parisian charm of thislively artist, the Hotel sophie germain gives you a warm welcome. http://www.france.travelmall.com/travelmall/hotel/Central Paris/Sophie Germain H
Extractions: As an echo of the typical Parisian charm of this lively artist, the Hotel Sophie Germain gives you a warm welcome. A very relaxing atmosphere for this well kept place punctuated with soothing colours and a comfortable lounge. The 33 rooms with their rattan furniture are as cozy as can be. They're perfectly equipped and offer peace and quiet as well as complete comfort. It is very easy to park the car in the street: there will be always a place available for you! All smile, the team is always happy to meet your expectations. Strollers will love the neighbourhood filled with colourful Parisian scenes (rue Daguerre), and a few steps away legendary Montparnasse, Saint Germain des Pres and Latin Quarter promises surprises galore: historic sights, splendid facades, mythical cafes and brassieres, etc. This hotel is ideally located in the vicinity of Porte de Versailles (exhibition centre) and with direct access to Roissy and Orly Airport.
Biograpy Of Sophie Germain Biographies of Mathematicians sophie germain. Introduction. sophie germain Primes.A sophie Prime is If both p and 2p+1 are prime, then p is a sophie Prime. http://www.andrews.edu/~calkins/math/biograph/199899/biogermn.htm
Extractions: Sophie Germain Introduction Sophie Germain grew up with the revolutions. Not only the American and French Revolutions, but with the revolution in herself. She wanted to be seen as a great mathematician. It took a lot of hard work and going against her family, but she never gave up. She is recognized today for her great work, but credit for number theory, acoustics, and elasticity was never given in her lifetime because of one reason. She was a woman. Germain did great contributations to the Number Theory, acoustics and elasticity. Biography Sophie was not really interested in the study of mathematics until the age of 13 when the French Revolution started. She was confined to her home and spent all her time in her father's libraries. There she learned about the death of Archimedes. Legend was that Archimedes was so engrosed in studing mathematics that he didn't respond to a Roman soldier and was killed. This made Sophia interested, if a guy would die for mathematics than there must be much to learn and study. Thus began her road down the study of mathematics. It was the death of Archimedes that made her want to become a mathematician.
Sophie Germain's Work On Fermat's Last Theorem Voice ce que j'ai trouvé sophie germain's Work on Fermat's LastTheorem Reinhard Laubenbacher and David Pengelley November, 1998 http://www.math.nmsu.edu/~history/germain.html
Extractions: Sophie Germain's Work on Fermat's Last Theorem Reinhard Laubenbacher and David Pengelley November, 1998 While Sophie Germain is best known today for her work on elasticity, she made important contributions to number theory as well. Sophie Germain's claim to number theoretic fame rests on a footnote in Legendre's , crediting her with what is known today as Sophie Germain's Theorem, the first general result toward a proof of Fermat's Last Theorem. She used it to prove Case I of Fermat's Last Theorem for all prime exponents less than 100, and today her methods have been generalized to apply to an infinite number of exponents. Germain, however, never published her theorem, describing it instead in correspondence with Legendre and Gauss; it was detailed by Legendre when he published his own solution for exponent five. It is generally assumed that she was the junior partner in a collaboration with Legendre. We are writing articles on this and may publish some unpublished letters from Germain to Gauss and some of Germain's handwritten manuscripts. Some of these original writings are presented in translation in our book Mathematical Expeditions: Chronicles by the Explorers . We would like to find more of the Legendre-Germain correspondence, and would welcome any knowledge of its existence.
Paris Hotels - Hotel Sophie Germain Translate this page Hotel sophie germain ***. 12, rue sophie-germain - 75014 PARIS.Tel ++33.(0)1.4321.4375 Fax ++33.(0)1.4320.8289 http://www.cofrase.com/hotel/sophigermain/
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Hôtel Sophie Germain - Paris Translate this page Cette page utilise des cadres, mais votrenavigateur ne les prend pas en charge. http://www.cofrase.com/hotel/sophigermain/frame.htm
Germain Some of germain's letters were published in her Oeuvres Philospphique desophie germain. sophie worked in mathematics and also in philosophy. http://hypatia.ucsd.edu/~kl/germain.html
Extractions: Marie-Sophia Germain [1776-1831] was born and raised in Paris, France. She was the middle daughter of Ambroise-Francois, a prosperous silk merchant, and Marie-Madelaine Gruguelin. Although she never received formal training, she became an outstanding mathematician and developed the theory of elasticity. She also wrote a treatise that contained material on the stability of orbits and their perturbations and that ultimately led to the discovery of the planet Neptune. Her compatriots often called her the Hypatia of the 18th century Marie-Sophia wrote under the pseudonym M. LeBlanc in order to conceal her gender. During the years 1804-1809 she wrote a dozen letters to her most famous correspondent, Gauss. Gauss learned that M. LeBlanc was a woman after the French took over his hometown of Braunschweig in the year 1806. Germain interceded for him through a friend of her family who was a French commander. After Lagrange had read one of her papers, he learned that M. LeBlanc was actually a woman and became her mathematical counselor. Among her work done during this period is work on Fermat's Last Theorem and a theorem which has become known as Germain's Theorem. This was to remain the most important result related to Fermat's Last Theorem from 1738 until the contributions of Kummer in 1840. In 1808, the German physicist Ernst F F Chladni had visited Paris where he had conducted experiments on vibrating plates, exhibiting the so-called Chladni figures. The Institut de France set a prize competition with the following challenge:
