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Goldbach's Conjecture:     more books (25)

Conjecture: Conjecture de Poincaré, Conjecture de Goldbach, Hypothèse de Riemann Généralisée, Conjecture de Syracuse (French Edition) Nombre Premier: Nombre Premier de Mersenne, Nombre de Fermat, Théorème Des Nombres Premiers, Crible D'ératosthène, Conjecture de Goldbach, 7, 5 (French Edition) Arithmétique: Conjecture de Goldbach, Axiomes de Peano, Table Des Bases, Partition D'un Entier, Tétration, Algorithme de Décalage N-Racines (French Edition) Uncle Petros/Goldbachs Conjecture Poster by Apostolos Doxiadis, 2001-03-05 Checking the Goldbach conjecture on a vector computer (Report. Centrum voor Wiskunde en Informatica) by A Granville, 1988 Uncle Peteros & Goldbach's Conjecture by Apostolos Doxiadis, 2000 Goldbach Conjecture Uncle Petros and Goldbach's Conjecture. by Apostolos. DOXIADIS, 2000-01-01 Goldbach's Conjecture and Structures of Primes in Number Theory (Berichte aus der Mathematik) by Uwe Kraeft, 2010-06-15 Number Theory Seven by K. Savithri, 1986

lists with details

21. Goldbach’S Conjecture From A Dictionary Of Philosophy, Third Edition | BookRag
    Goldbach’S Conjecture from A Dictionary of Philosophy, Third Edition. Goldbach’S Conjecture summary with 1 pages of research material.  
    http://www.bookrags.com/tandf/goldbachs-conjecture-tf/

22. The Simple Proof Of Goldbach's Conjecture
    The Simple Proof of Goldbach's Conjecture by miles mathis return to updates. THE SIMPLE PROOF OF GOLDBACH'S CONJECTURE by Miles Mathis  
    http://milesmathis.com/gold3.html
    
    Extractions: Abstract : Here I solve Goldbach's Conjecture by the simplest method possible. I do this by first calculating probabilites for prime and non-prime meetings. Then I redefine and transform these probability fractions into densities, allowing me to develop a proof without probabilities. These densities allow me to calculate minimum numbers of pair meetings for any given prime density. These minimum pair meetings create a new rule that disallows certain meetings and requires others. One pair meeting that is required is at least one prime pair.

23. Goldbach Conjecture - Wolfram Demonstrations Project
    Goldbach's conjecture is one of the oldest open problems in mathematics. The strong version reformulated by Euler states that every even positive integer greater than or equal  
    http://demonstrations.wolfram.com/GoldbachConjecture/

24. The Prime Glossary: Goldbach's Conjecture
    Welcome to the Prime Glossary a collection of definitions, information and facts all related to prime numbers. This pages contains the entry titled  
    http://primes.utm.edu/glossary/xpage/GoldbachConjecture.html
    
    Extractions: (another Prime Pages ' Glossary entries) Glossary: Prime Pages: Top 5000: Goldbach wrote a letter to Euler dated June 7, 1742 suggesting (roughly) that every even integer is the sum of two integers p and q where each of p and q are either one or odd primes . Now we often word this as follows: Goldbach's conjecture : Every even integer n greater than two is the sum of two primes. This is easily seen to imply Every integer n greater than five is the sum of three primes. There is little doubt that both results are true, as Euler replied to Goldbach: That every even number is a sum of two primes, I consider an entirely certain theorem in spite of that I am not able to demonstrate it. Progress has been made on this problem, but slowlyit may be quite awhile before the work is complete. For example, it has been proven that every even integer is the sum of at most six primes (Goldbach suggests two) and in 1966 Chen proved every sufficiently large even integer is the sum of a prime plus a number with no more than two prime factors (a P Vinogradov in 1937 showed that every sufficiently large odd integer can be written as the sum of at most three primes, and so every sufficiently large integer is the sum of at most four primes. One result of

25. The Prime Glossary: Goldbach's Conjecture
    Welcome to the Prime Glossary a collection of definitions, information and facts all related to prime numbers. This pages contains the entry titled 'Goldbach's conjecture.'  
    http://primes.utm.edu/glossary/page.php?sort=GoldbachConjecture

26. Goldbach's Conjecture | Define Goldbach's Conjecture At Dictionary.com
    World English Dictionary Goldbach's conjecture (ˈɡəʊldˌbɑːxs) — n the conjecture that every even number greater than two is the sum of two prime numbers named after  
    http://dictionary.reference.com/browse/goldbach's conjecture?qsrc=2446

27. Mathematical Mysteries: The Goldbach Conjecture | Plus.maths.org
    May 1, 1997 A brief popular article with an applet generating solutions.  
    http://plus.maths.org/issue2/xfile/
    
    Extractions: Prime numbers provide a rich source of speculative mathematical ideas. Some of the mystical atmosphere that surrounds them can be traced back to Pythagoras and his followers who formed secret brotherhoods in Greece, during the 5th Century BC. The Pythagoreans believed that numbers had spiritual properties. The discovery that some numbers such as the square root of 2 cannot be expressed exactly as the ratio of two whole numbers was so shocking to Pythagoras and his followers that they hushed up the proof! Today, prime numbers are fascinating but they are also of commercial importance, since the best commercial and military ciphers depend on their properties. (See " Discovering new primes " in Issue 1 - it is yet to be proved that there are infinitely many Mersenne primes.) Here is another unproved conjecture about prime numbers. It is called the Goldbach conjecture and may be stated as follows:

28. Prime Conjectures And Open Question
    It has been proven that every even integer is the sum of at most six primes (Goldbach's conjecture suggests two) and in 1966 Chen proved every  
    http://primes.utm.edu/notes/conjectures/
    
    Extractions: Submit primes Below are just a few of the many conjectures concerning primes. Goldbach's Conjecture: Every even n Goldbach wrote a letter to Euler in 1742 suggesting that . Euler replied that this is equivalent to this is now known as Goldbach's conjecture. Schnizel showed that Goldbach's conjecture is equivalent to distinct primes It has been proven that every even integer is the sum of at most six primes [ ] (Goldbach's conjecture suggests two) and in 1966 Chen proved every sufficiently large even integer is the sum of a prime plus a number with no more than two prime factors (a P ). In 1993 Sinisalo verified Goldbach's conjecture for all integers less than 4 ]. More recently Jean-Marc Deshouillers, Yannick Saouter and Herman te Riele have verified this up to 10

29. Goldbach�s Conjecture
    Goldbach’s conjecture . This is a simple text site to provide access to the research that I have done on Goldbach’s Conjecture, while an undergraduate.  
    http://www-zeus.desy.de/~brownson/data/Goldbach.html
    
    Extractions: Goldbach�s conjecture This is a simple text site to provide access to the research that I have done on Goldbach�s Conjecture, while an undergraduate. Goldbach�s Conjecture: Any integer 6 or greater can be written as the sum of three primes. Modern form of Goldbach�s Conjecture Any even integer 4 or greater can be written as the sum of two primes. This is an eight page account of my findings. Paper Here is a program that I wrote in c++ to verify the Modern form of Goldbach�s Conjecture. Range test program Here is a program to list the primes that are less than a number, or p (n) for those who are familiar with it. Prime number lister program Here is a paper outlining a statistical approach to Goldbach�s Conjecture. It can be used to show the chance that Goldbach�s Conjecture is a random occurrence. It shows that the most likely candidates to violate this Conjecture are the smaller integers. Probability Here is a proof showing that the two forms of Goldbach�s conjecture are equivalent. Proof Here is a famous proof written by Euler that there are an infinite number of primes. Euler

30. Goldbach Conjecture
    In its original form, now known as the weak Goldbach conjecture, it was put forward by the Prussian amateur mathematician and historian Christian Goldbach  
    http://www.daviddarling.info/encyclopedia/G/Goldbach_conjecture.html
    
    Extractions: One of the oldest and easiest-to-understand hypotheses in mathematics that remains unproven. In its original form, now known as the weak Goldbach conjecture , it was put forward by the Prussian amateur mathematician and historian Christian Goldbach (1690-1764) in a letter dated Jun. 7, 1742, to Leonhard Euler . In this guise it says that every whole number greater than 5 is the sum of three prime numbers . Euler restated this, in an equivalent form, as what is now called the strong Goldbach conjecture or, simply, the Goldbach conjecture: every even number greater than 2 is the sum of two primes. Thus, 4 = 2 + 2, 6 = 3 + 3, 8 = 3 + 5, 10 = 3 + 7, ..., 100 = 53 + 47, ...

31. Goldbach's Conjecture Information, Goldbach's Conjecture Reference Articles - Fi
    Information and research on Goldbach's conjecture on FindTarget Reference online encyclopedia. Find articles and information resources on Goldbach's conjecture.  
    http://reference.findtarget.com/search/Goldbach's conjecture/
    
    Extractions: Every even integer greater than 2 is a Goldbach number , a number that can be expressed as the sum of two primes The number of ways an even number can be represented as the sum of two primes Expressing a given even number as a sum of two primes is called a Goldbach partition of the number. For example,

32. Goldbach's Conjecture
    In 1742, Christian Goldbach, a German amateur mathematician, sent a letter to Leonhard Euler in which he made the following conjecture  
    http://uva.onlinejudge.org/external/5/543.html
    
    Extractions: Goldbach's Conjecture In 1742, Christian Goldbach, a German amateur mathematician, sent a letter to Leonhard Euler in which he made the following conjecture: Every number greater than 2 can be written as the sum of three prime numbers. Goldbach cwas considering 1 as a primer number, a convention that is no longer followed. Later on, Euler re-expressed the conjecture as: Every even number greater than or equal to 4 can be expressed as the sum of two prime numbers. Anyway, your task is now to verify Goldbach's conjecture as expressed by Euler for all even numbers less than a million. The input file will contain one or more test cases. Each test case consists of one even integer n with Input will be terminated by a value of for n For each test case, print one line of the form n a b , where a and b are odd primes. Numbers and operators should be separated by exactly one blank like in the sample output below. If there is more than one pair of odd primes adding up to

33. Goldbach's Conjecture
    A popular magazine announced a contest to solve Goldbach's Conjecture. Don't expect much enthusiasm from the mathematical community.  
    http://www.math.fau.edu/locke/Goldbach.htm
    
    Extractions: A popular magazine announced a contest to solve Goldbach's Conjecture . Don't expect much enthusiasm from the mathematical community. Goldbach's Conjecture . Any even integer greater than 4 is the sum of two odd primes. Vinogradov (1937): There is an integer N such that any odd integer greater than N is the sum of three primes.

34. Goldbach's Conjecture
    I have been tasked with writing a program that allows a user to input a lower bound and an upper bound so the program can show that every even number  
    http://cboard.cprogramming.com/c-programming/94753-goldbachs-conjecture.html

35. Goldbach& - Encyclopedia Article - Citizendium
    Feb 15, 2010 Goldbach s conjecture is an unsolved problem in number theory. The Goldbach conjecture is characteristic of number theory problems,  
    http://en.citizendium.org/wiki/Goldbach's_conjecture
    
    Extractions: Citizendium is governed by a Charter with Representatives From Citizendium, the Citizens' Compendium Jump to: navigation search There is currently no text in this page. You can search for this page title in other pages or log in to begin an article for this page. If you don't have a log in, we welcome you to request a contributor account Retrieved from " http://en.citizendium.org/wiki/Goldbach%26 Views Personal tools Search Read Dive In! Communicate About Us Toolbox What links here Upload file Special pages Printable version ... About Citizendium

36. Goldbach's Conjecture - ( 1742 ), Unsolved Problems In Number Theory
    Christian Goldbach (1690 – 1764) was born in K nigsberg. His conjecture states that every even integer greater than  
    http://science.jrank.org/pages/21851/Goldbach's-conjecture.html

37. Goldbach's Conjecture
    Christian Goldbach was born in March 1690 in K nigsberg, Prussia (now Kaliningrad, Russia), and died in 1764 in Moscow, Russia. When he was 35 Goldbach became a professor of  
    http://www.mathsisgoodforyou.com/conjecturestheorems/goldbachs.htm
    
    Extractions: Christian Goldbach was born in March 1690 in K�nigsberg , Prussia (now Kaliningrad, Russia), and died in 1764 in Moscow, Russia. When he was 35 Goldbach became a professor of mathematics and a historian at St. Petersburg . He went to Moscow in 1728 to be a tutor to Tsar Peter II. Goldbach knew many mathematicians around Europe. In 1742 he wrote to Euler conjecturing that every even integer greater than 2 can be represented as a sum of 2 primes. n = p + p This conjecture has not yet been proved or disproved. This conjecture is equivalent to saying that every integer greater than 5 is the sum of three primes. Copy of Goldbach's letter to Euler in which he conjectures, dated 7 th July 1742. Euler responded to Goldbach saying that "There is little doubt that this result is true... that every even number is a sum of two primes, I consider [this] an entirely certain theorem in spite of that I am not able to demonstrate it." Ivan Matveevich Vinogradov was another Russian mathematician (1891-1983) who showed that if we look at 'sufficiently' large odd integers, we deduce that they can be written as the sum of at most three primes. From this follows that every sufficiently large integer (not necessarily odd) is the sum of at most four primes. One result of Vinogradov's work is that we take that Goldbach's Conjecture holds true for almost all even integers.

38. Read This: Uncle Petros And Goldbach's Conjecture
    Apr 1, 2010 Read This! The MAA Online book review column review of Uncle Petros and Goldbach s Conjecture, by Apostolos Doxiadis.  
    http://www.maa.org/reviews/petros.html
    
    Extractions: by Apostolos Doxiadis Although Uncle Petros remained expressionless, I noticed a slight tremor run down his hand. "Who's spoken to you about Goldbach's Conjecture?" he asked quietly. "My father," I murmured. :And what did he say, precisely?" "That you tried to prove it." "Just that?" "And.... that you didn't succeed." His hand was steady again. "Nothing else?" "Nothing else." "Hm," he said. "Suppose we make a deal?" "What sort of deal?" Intrigued? Then read on. Uncle Petros and Goldbach's Conjecture Pi, it is not clear that nonmathematicians who read the book will view mathematics as an attractive pursuit, or mathematicians as completely sane. But most nonmathematicians probably think that already anyway.) The book is really the story of two generations of obsession, the one a quest for the solution to a mathematical problem, the other a young man's search for the truth about the uncle his family shuns and derides for having thrown away his life. The story is told in the words of the young nephew, who has just completed his own mathematics degree. He discovers that his Uncle Petros Papachristos, whom he has known hitherto solely as a reclusive gardener his father refuses to talk about, was a child prodigy in mathematics, the youngest ever professor of mathematics at the University of Munich, and at one point a collaborator of Hardy and Littlewood. (Ramanujan, G�del, and Turing also make cameo appearances in the novel.)

39. Mathematical Mysteries: The Goldbach Conjecture | Plus.maths.org
    Goldbach's conjecture, however, remains unproved to this day. Further reading. For an entertaining and revealing introduction to this problem, see Douglas R Hofstadter's book G del  
    http://plus.maths.org/issue2/xfile/index.html
    
    Extractions: Prime numbers provide a rich source of speculative mathematical ideas. Some of the mystical atmosphere that surrounds them can be traced back to Pythagoras and his followers who formed secret brotherhoods in Greece, during the 5th Century BC. The Pythagoreans believed that numbers had spiritual properties. The discovery that some numbers such as the square root of 2 cannot be expressed exactly as the ratio of two whole numbers was so shocking to Pythagoras and his followers that they hushed up the proof! Today, prime numbers are fascinating but they are also of commercial importance, since the best commercial and military ciphers depend on their properties. (See " Discovering new primes " in Issue 1 - it is yet to be proved that there are infinitely many Mersenne primes.) Here is another unproved conjecture about prime numbers. It is called the Goldbach conjecture and may be stated as follows:

40. PlanetMath: Goldbach's Conjecture
    The conjecture states that every even integer $n 2$ is expressible as the sum of two This is version 7 of Goldbach s conjecture, born on 200201-24,  
    http://planetmath.org/encyclopedia/GoldbachsConjecture.html
    
    Extractions: Goldbach's conjecture (Conjecture) The conjecture states that every even integer is expressible as the sum of two primes In 1966 Chen proved that every sufficiently large even number can be expressed as the sum of a prime and a number with at most two prime divisors Vinogradov proved that every sufficiently large odd number is a sum of three primes. In 1997 it was shown by J.-M. Deshouillers, G. Effinger, H. Te Riele, and D. Zinoviev that, assuming a generalized Riemann hypothesis , every odd number can be represented as sum of three primes. The conjecture was first proposed in a 1742 letter from Christian Goldbach to Euler and still remains unproved.

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