21. Editorial Reviews: Uncle Petros And Goldbach's Conjecture Reviews of Uncle Petros and Goldbach s conjecture by Apostolos Doxiadis. From Kirkus Reviews An intellectual thriller that manages http://www.maths.ex.ac.uk/~mwatkins/zeta/doxiadis.htm

Reviews of Uncle Petros and Goldbach's Conjecture by Apostolos Doxiadis From Kirkus Reviews Oliver Sacks A mathematical conjecture unsolved for two centuries; a mathematical genius uncle driven mad trying to solve it; an ambiguous relation with a mathematically-minded nephew; and acute human observation all come together in Uncle Petros to make a very funny, tender, charming and, to my mind, irresistable novel. Book Description In the tradition of Fermat's Last Theorem and Einstein's Dreams, a novel about mathematical obsession. Petros Papachristos devotes the early part of his life trying to prove one of the greatest mathematical challenges of all time: Goldbach's Conjecture, the deceptively simple claim that every even number greater than two is the sum of two primes. Against a tableau of famous historical figuresamong them G.H. Hardy, the self-taught Indian genius Srinivasa Ramanujan, and a young Kurt GodelPetros works furiously to prove the notoriously difficult conjecture, but suddenly disappears into a solitary existence playing chess in the Greek countryside. To his nephew, he is known as the solitary, eccentric Uncle Petros, but when the young man finds out that his uncle is an esteemed professor of mathematics, he searches out his uncle's hidden past. Through an adversarial friendship based on chess and mathematics, he drives the retired mathematician back into the hunt to prove Goldbach's Conjecture... but at the cost of the old man's sanity, and perhaps even his life.

22. Goldbach Other references in MacTutor. Chronology 1740 to 1760. Other Web sites, The Prime Pages (Goldbach s conjecture); http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Goldbach.html

Christian Goldbach Born: Died: 20 Nov 1764 in Moscow, Russia Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index In 1725 Christian Goldbach became professor of mathematics and historian at St Petersburg. Then, in 1728, he went to Moscow as tutor to Tsar Peter II. He travelled round Europe meeting mathematicians. He met Leibniz Nicolaus(I) Bernoulli Nicolaus(II) Bernoulli de Moivre ... Daniel Bernoulli and Hermann Goldbach did important work in number theory , much of it in correspondence with Euler . He is best remembered for his conjecture, made in 1742 in a letter to Euler and still an open question, that every even integer greater than 2 can be represented as the sum of two primes . Goldbach also conjectured that every odd number is the sum of three primes. Vinogradov made progress on this second conjecture in 1937. Goldbach also studied infinite sums, the theory of curves and the theory of equations. Article by: J J O'Connor and E F Robertson Click on this link to see a list of the Glossary entries for this page List of References (11 books/articles) Mathematicians born in the same country Cross-references to History Topics Fermat's last theorem Topology enters mathematics The fundamental theorem of algebra Prime numbers ... e Other references in MacTutor Chronology: 1740 to 1760 Other Web sites The Prime Pages (Goldbach's conjecture) J Richstein including Goldbach's letter to Euler Linda Hall Library (Star Atlas) Previous (Chronologically) Next Biographies Index Previous (Alphabetically)

23. Goldbach's Conjecture (II) Goldbach s conjecture (II). Goldbach s conjecture For any even number n greater than or equal to 4, there exists at least one pair http://acm.uva.es/p/v6/686.html

Goldbach's Conjecture (II) Goldbach's Conjecture: For any even number n greater than or equal to 4, there exists at least one pair of prime numbers p and p such that n p p This conjecture has not been proved nor refused yet. No one is sure whether this conjecture actually holds. However, one can find such a pair of prime numbers, if any, for a given even number. The problem here is to write a program that reports the number of all the pairs of prime numbers satisfying the condition in the conjecture for a given even number. A sequence of even numbers is given as input. Corresponding to each number, the program should output the number of pairs mentioned above. Notice that we are interested in the number of essentially different pairs and therefore you should not count p p ) and p p ) separately as two different pairs. Input An integer is given in each input line. You may assume that each integer is even, and is greater than or equal to 4 and less than 2 . The end of the input is indicated by a number 0. Output Each output line should contain an integer number. No other characters should appear in the output.

24. Goldbach's Conjecture Goldbach s conjecture. Goldbach s conjecture is one of the oldest unsolved problems in number theory and in all of mathematics. It states http://www.fact-index.com/g/go/goldbach_s_conjecture.html

Main Page See live article Alphabetical index Goldbach's conjecture Goldbach's Conjecture is one of the oldest unsolved problems in number theory and in all of mathematics . It states: Every even number greater than 2 can be written as the sum of two primes (The same prime may be used twice.) The conjecture had been known to Descartes . The following statement is equivalent and is the one originally conjectured in a letter written by Goldbach to Euler in Every number greater than 5 can be written as the sum of three primes. . The majority of mathematicians believe the conjecture to be true, mostly based on statistical considerations focusing on the probabilistic distribution of prime numbers : the bigger the even number, the more "likely" it becomes that it can be written as a sum of two primes. We know that every even number can be written as the sum of at most six primes. As a result of work by Vinogradov, every sufficiently large even number can be written as the sum of at most four primes. Vinogradov proved furthermore that almost all even numbers can be written as the sum of two primes (in the sense that the fraction of even numbers which can be so written tends towards 1). In

25. Goldbachs Conjecture - Encyclopedia Article About Goldbachs Conjecture. Free Acc In mathematics, Goldbach s conjecture is one of the oldest unsolved problem This article describes currently unsolved problems in mathematics. http://encyclopedia.thefreedictionary.com/Goldbachs conjecture

Dictionaries: General Computing Medical Legal Encyclopedia Goldbachs conjecture Word: Word Starts with Ends with Definition In mathematics, Goldbach's conjecture is one of the oldest unsolved problem This article describes currently unsolved problems in mathematics The seven Millennium Prize Problems set by the Clay Mathematics Institute are: P versus NP The Hodge Conjecture The Poincaré Conjecture The Riemann Hypothesis Yang-Mills Existence and Mass Gap Navier-Stokes Existence and Smoothness The Birch and Swinnerton-Dyer Conjecture Other still-unsolved problems: Number of Magic squares Goldbach's conjecture Twin prime conjecture Hilbert's sixteenth problem Click the link for more information. s in number theory Traditionally, number theory is that branch of pure mathematics concerned with the properties of integers and contains many open problems that are easily understood even by non-mathematicians. More generally, the field has come to be concerned with a wider class of problems that arose naturally from the study of integers. Number theory may be subdivided into several fields according to the methods used and the questions investigated. See for example the list of number theory topics. Click the link for more information.

26. A Proof For Goldbach's Conjecture a topic from sci.math.symbolic A proof for Goldbach s conjecture. post a message on this topic post a message on a new topic 26 Apr http://mathforum.org/epigone/sci.math.symbolic/dendhangsmix

a topic from sci.math.symbolic A proof for Goldbach's conjecture post a message on this topic post a message on a new topic 26 Apr 2001 A proof for Goldbach's conjecture , by Hamid V. Ansari 5 Oct 2003 Dumb , by abcd 19 Jan 2004 about gold bach cojecture , by seyed mehdi raissian 3 Dec 2001 A proof for Goldbach's conjecture , by Hamid V. Ansari 4 Dec 2001 Re: A proof for Goldbach's conjecture , by Christian Bau 6 Dec 2001 Re: A proof for Goldbach's conjecture , by Hamid V. Ansari 6 Dec 2001 Re: A proof for Goldbach's conjecture , by Christian Bau 7 Dec 2001 Re: A proof for Goldbach's conjecture , by Hamid V. Ansari 7 Dec 2001 Re: A proof for Goldbach's conjecture , by Christian Bau 7 Dec 2001 Re: A proof for Goldbach's conjecture , by Paul Schlyter 6 Dec 2001 Re: A proof for Goldbach's conjecture , by Tony T. Warnock 7 Dec 2001 Re: A proof for Goldbach's conjecture , by Brian Chandler 7 Dec 2001 Re: A proof for Goldbach's conjecture , by Phil Carmody 10 Dec 2001 Re: A proof for Goldbach's conjecture , by Tony T. Warnock 10 Dec 2001 Re: A proof for Goldbach's conjecture , by Brian Chandler 10 Dec 2001 Re: A proof for Goldbach's conjecture , by Tony T. Warnock

27. A Proof For Goldbach's Conjecture a topic from sci.math.numanalysis A proof for Goldbach s conjecture. post a message on this topic post a message on a new topic http://mathforum.org/epigone/sci.math.num-analysis/yoisnandnend

a topic from sci.math.num-analysis A proof for Goldbach's conjecture post a message on this topic post a message on a new topic 28 Feb 2001 A proof for Goldbach's conjecture , by Hamid V. Ansari 28 Feb 2001 Re: A proof for Goldbach's conjecture , by Ken Cox 28 Feb 2001 Re: A proof for Goldbach's conjecture , by Peter Percival 19 May 2001 A proof for Goldbach's conjecture , by Hamid V. Ansari 19 May 2001 Re: A proof for Goldbach's conjecture , by Jan Kristian Haugland 26 Jul 2001 A proof for Goldbach's conjecture , by Hamid V. Ansari 31 Jul 2001 Re: A proof for Goldbach's conjecture , by himadri mukherjee 31 Jul 2001 Re: A proof for Goldbach's conjecture , by Rick Link 31 Jul 2001 Re: A proof for Goldbach's conjecture , by Erk Jensen 1 Aug 2001 Re: A proof for Goldbach's conjecture , by Vit Drga 31 Aug 2001 A proof for Goldbach's conjecture , by Hamid V. Ansari 31 Aug 2001 Re: A proof for Goldbach's conjecture , by Gib Bogle 1 Dec 2002 A proof for Goldbach's conjecture , by Hamid V. Ansari 1 Dec 2002 Re: A proof for Goldbach's conjecture , by Christian Bau 2 Dec 2002 Re: A proof for Goldbach's conjecture , by David Harden 3 Dec 2002 Re: A proof for Goldbach's conjecture , by Hamid V. Ansari

28. Mudd Math Fun Facts: Goldbach's Conjecture From the Fun Fact files, here is a Fun Fact at the Easy level Goldbach s conjecture. The Goldbach conjecture, dating from 1742, says that the answer is yes. http://www.math.hmc.edu/funfacts/ffiles/10002.5.shtml

hosted by the Harvey Mudd College Math Department Francis Su Any Easy Medium Advanced Search Tips List All Fun Facts Fun Facts Home About Math Fun Facts ... Other Fun Facts Features 1553359 Fun Facts viewed since 20 July 1999. Francis Edward Su From the Fun Fact files, here is a Fun Fact at the Easy level: Goldbach's Conjecture Here's a famous unsolved problem: is every even number greater than 2 the sum of 2 primes? The Goldbach conjecture , dating from 1742, says that the answer is yes. Some simple examples: What is known so far: Schnirelmann(1930): There is some N such that every number from some point onwards can be written as the sum of at most N primes. Vinogradov(1937): Every odd number from some point onwards can be written as the sum of 3 primes. Chen(1966): Every sufficiently large even integer is the sum of a prime and an "almost prime" (a number with at most 2 prime factors). See the reference for more details. Presentation Suggestions: Have students suggest answers for the first few even numbers. The Math Behind the Fact: This conjecture has been numerically verified for all even numbers up to several million. But that doesn't make it true for all N... see

29. Goldbach's Conjecture Goldbach s conjecture. This conjecture claims that every even integer bigger equal to 4 is expressible as the sum of two prime numbers. http://db.uwaterloo.ca/~alopez-o/math-faq/node62.html

Next: Twin primes conjecture Up: Unsolved Problems Previous: Collatz Problem Goldbach's conjecture This conjecture claims that every even integer bigger equal to 4 is expressible as the sum of two prime numbers. It has been tested for all values up to by Sinisalo. Alex Lopez-Ortiz Mon Feb 23 16:26:48 EST 1998

30. Goldbach's Conjecture Goldbach s conjecture. © Copyright 2000, Jim Loy. The modern version of Goldbach s conjecture (called Goldbach s Strong conjecture) is this http://www.jimloy.com/number/goldbach.htm

Return to my Mathematics pages Go to my home page Goldbach's Conjecture The modern version of Goldbach's Conjecture (called Goldbach's Strong Conjecture) is this: Every even number greater than 2 is the sum of two primes. Let's try a few: The conjecture is looking safe so far. Not only is each even number the sum of two primes, but the number of pairs of primes tends to increase. This trend seems to continue. But no one has ever proved that this goes on forever. All of the even number up to 400,000,000,000 have been tested, so far, with no exceptions found. Mathematicians have achieved some results in their efforts to prove (or disprove) this conjecture. In 1966, J. R. Chen showed that every sufficiently large even number is either the sum of two primes or of a prime and a near prime. A near prime is a number that is the product of two primes, like 91=7x13 or 4=2x2. No one knows just how large "sufficiently large" is. There is another Goldbach Conjecture, that every odd number greater than 5 is the sum of three primes. This is known as the Weak Goldbach Conjecture. This too has not been proved or disproved. It has been shown that if there are exceptions, then there are only a finite number of exceptions. A slightly different form of these conjectures was originally posed by Christian Goldbach, in 1742. Incidentally, if either Goldbach Conjecture is ever proven, then that would also prove that there are infinitely many primes. But we already knew that. See

31. The Prime Glossary: Goldbach's Conjecture This pages contains the entry titled Goldbach s conjecture. Come explore a new prime term today! See Also odd Goldbach conjecture. http://primes.utm.edu/glossary/page.php?sort=GoldbachConjecture

32. Goldbach's Sequence And Goldbach's Conjecture Goldbach s Sequence And Goldbach s conjecture by Huen YK CAHRC, PO.Box 1003, Singapore 911101 http//web.singnet.com.sg/~activweb/ Related URLsites http//web http://web.singnet.com.sg/~huens/paper43.htm

Goldbach's Sequence And Goldbach's Conjecture by Huen Y.K. CAHRC, P.O.Box 1003, Singapore 911101 http://web.singnet.com.sg/~activweb/ Related URL-sites: http://web.singnet.com.sg/~huens/ email: huens@mbox3.singnet.com.sg (A short communication - 1st released: 18/12/97) Abstract 1. Introduction A very efficient way of weeding out unnecessary tests for noncontiguities in Goldbach's sequences, i.e. Goldbach(z), is to test only the high ends of Prime(z). This comes from a theorem on the contiguity of Odd(z)^2 in which it was proved that if the second largest odd integer is removed from Odd(z) before squaring, the resultant even integer sequence is never contiguous [11]. Since Prime(z) is a subset of Odd(z), we know that if Odd(z)^2 is not conitiguous then Prime(z)^2 of the same integer range will not be contiguous. This method is used here to extend the range of search for noncontiguous Goldbach(z) above 10^9. The method is determinstic on noncontiguities only. To determine contiguities, we still need to perform the full contiguity tests. 2. The Original Global Contiguity Tests

33. (2) Brief History Of Goldbach's Conjecture (2). Brief History of Goldbach s conjecture. Goldbach s conjecture. Then, in 1728, he went to Moscow as tutor to Tsar Peter II. Goldbach s conjecture states http://web.singnet.com.sg/~huens/gbpage02.htm

2). Brief History of Goldbach's Conjecture Goldbach's Conjecture In 1725 Goldbach became professor of mathematics and historian at St. Peterburg. Then, in 1728, he went to Moscow as tutor to Tsar Peter II. Goldbach's Conjecture states: Every even positive integer greater than 3 is the sum of two (not necessarily distinct) primes. Go back to Homepage.

34. Goldbach's Conjecture Definition Meaning Information Explanation Goldbach s conjecture definition, meaning and explanation and more about Goldbach s conjecture. Free Goldbach s conjecture. definition http://www.free-definition.com/Goldbachs-conjecture.html

A B C D ... Contact Beta 0.71 powered by: akademie.de PHP PostgreSQL Google News about your search term Goldbach's conjecture In mathematics, Goldbach's conjecture is one of the oldest unsolved problem s in number theory and in all of mathematics . It states: Every even number greater than 2 can be written as the sum of two primes . (The same prime may be used twice.) For example, etc. Inhaltsverzeichnis 1 Origins 2 Results 3 Trivia 4 External links Origins In 1742, the Prussian mathematician Christian Goldbach wrote a letter to Leonhard Euler in which he proposed the following conjecture: Every number greater than 5 can be written as the sum of three primes. Euler, becoming interested in the problem, answered with a stronger version of the conjecture: Every even number greater than 2 can be written as the sum of two primes. The former conjecture is known today as the 'weak' Goldbach conjecture, the latter as the 'strong' Goldbach conjecture. Without qualification, the strong version is meant. Both questions have remained unsolved ever since. Results Goldbach's conjecture has been researched by many number theorists. The majority of mathematicians believe the (strong) conjecture to be true, mostly based on statistical considerations focusing on the

35. Apostolos Doxiadis. Uncle Petros And Goldbach's Conjecture conjecture. Gebunden - 223 Seiten, Uncle Petros and Goldbach s conjecture. Faber Faber, 2001. http://www.lesekost.de/HHL154.htm

Apostolos Doxiadis. Uncle Petros and Goldbach's Conjecture Nachdem ich von Simon Singhs Fermat's Enigma der Goldbachschen Vermutung Empfehlenswert. Bei Amazon nachschauen durch Klick aufs Bild Onkel Petros und die Goldbachsche Vermutung Uncle Petros and Goldbach's Conjecture

36. Online Encyclopedia - Goldbach's Conjecture , Encyclopedia Entry for Goldbach s conjecture. Dictionary Definition of Goldbach s conjecture. Goldbach s......Encyclopedia http://www.yourencyclopedia.net/Goldbach's_conjecture.html

Encyclopedia Entry for Goldbach's conjecture Dictionary Definition of Goldbach's conjecture Goldbach's Conjecture is one of the oldest unsolved problem in number theory and in all of mathematics . It states: Every even number greater than 2 can be written as the sum of two primes (The same prime may be used twice.) The conjecture had been known to Descartes . The following statement is equivalent and is the one originally conjectured in a letter written by Goldbach to Euler in Every number greater than 5 can be written as the sum of three primes. . The majority of mathematicians believe the conjecture to be true, mostly based on statistical considerations focusing on the probabilistic distribution of prime numbers : the bigger the even number, the more "likely" it becomes that it can be written as a sum of two primes. We know that every even number can be written as the sum of at most six primes. As a result of work by Vinogradov , every sufficiently large even number can be written as the sum of at most four primes. Vinogradov proved furthermore that almost all even numbers can be written as the sum of two primes (in the sense that the fraction of even numbers which can be so written tends towards 1). In

37. PlanetMath: Goldbach's Conjecture Goldbach s conjecture, (conjecture). Goldbach s conjecture is owned by drini. full author list (3) owner history (1) . (view preamble). http://planetmath.org/encyclopedia/GoldbachsConjecture.html

(more info) Math for the people, by the people. Encyclopedia Requests Forums Docs ... Random Login create new user name: pass: forget your password? Main Menu sections Encyclop¦dia Papers Books Expositions meta Requests Orphanage Unclass'd Unproven ... Corrections talkback Polls Forums Feedback Bug Reports downloads Snapshots PM Book information Docs Classification News Legalese ... TODO List 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 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. "Goldbach's conjecture" is owned by drini full author list owner history view preamble View style: HTML with images page images TeX source See Also: prime Cross-references: Euler odd number generalized Riemann hypothesis divisors ... states There is 1 reference to this object.

38. Factoids > Goldbach's Conjecture Susan Stepney s Home Page factoid indexGoldbach s conjecture. Goldbach s conjecture Every even number 4 is the sum of two odd primes. http://www-users.cs.york.ac.uk/~susan/cyc/g/goldbach.htm

Goldbach's conjecture Goldbach's conjecture primes 389,965,026,819,938 = 5,569 + 389,965,026,814,369 (and no decomposition with a smaller prime exists) Proof status g n p q n p q p q gives data on g n ), for n Goldbach's odd conjecture primes decompositions easily generated from the even decompositions, by systematically subtracting primes Proof status : Proved under the assumption of the truth of the generalized Riemann hypothesis; remains unproved unconditionally for only a finite (but yet not computationally coverable) set of numbers.

39. Goldbach's Conjecture :: Online Encyclopedia :: Information Genius Goldbach s conjecture. Online Encyclopedia Goldbach s conjecture is one of the oldest unsolved problems in number theory and in all of mathematics. It states http://www.informationgenius.com/encyclopedia/g/go/goldbach_s_conjecture.html

Quantum Physics Pampered Chef Paintball Guns Cell Phone Reviews ... Science Articles Goldbach's conjecture Online Encyclopedia Goldbach's Conjecture is one of the oldest unsolved problems in number theory and in all of mathematics . It states: Every even number greater than 2 can be written as the sum of two primes (The same prime may be used twice.) The conjecture had been known to Descartes . The following statement is equivalent and is the one originally conjectured in a letter written by Goldbach to Euler in Every number greater than 5 can be written as the sum of three primes. . The majority of mathematicians believe the conjecture to be true, mostly based on statistical considerations focusing on the probabilistic distribution of prime numbers : the bigger the even number, the more "likely" it becomes that it can be written as a sum of two primes. We know that every even number can be written as the sum of at most six primes. As a result of work by Vinogradov, every sufficiently large even number can be written as the sum of at most four primes. Vinogradov proved furthermore that almost all even numbers can be written as the sum of two primes (in the sense that the fraction of even numbers which can be so written tends towards 1). In

40. ThinkQuest : Library : A Taste Of Mathematic Goldbach s conjecture. Goldbach s conjecture Every even integer n greater than two is the sum of two primes. This is easily seen to be equivalent to http://library.thinkquest.org/C006364/ENGLISH/problem/goldbach.htm

Index Math A Taste of Mathematic Welcome to A Taste of Mathematics.You will find the taste of mathematics here.The history of Mathematics,famous mathematicians,cxciting knowledge,the world difficult problems and also mathematics in our life... Browsing,thinking,enjoying,and have a good time here! Visit Site 2000 ThinkQuest Internet Challenge Languages English Chinese Students fangfei Beijing No.4 High School, Beijing, China ziyan Beijing No.4 High School, Beijing, China Coaches Tife Zesps3 Szks3 Ogslnokszta3c9cych Numer 1, Beijing, China xueshun Beijing No.4 High School, Beijing, China Want to build a ThinkQuest site? The ThinkQuest site above is one of thousands of educational web sites built by students from around the world. Click here to learn how you can build a ThinkQuest site. Privacy Policy

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