81. [math/0209232] On Goldbach's Conjecture On Goldbach s conjecture. Authors A conditional proof of Goldbach s conjecture, based on Cram\ er s conjecture, is presented. Theoretical http://arxiv.org/abs/math.GM/0209232

Mathematics, abstract math.GM/0209232 From: Jailton C. Ferreira [ view email ] Date: Wed, 18 Sep 2002 18:23:56 GMT (5kb) On Goldbach's Conjecture Authors: Jailton C. Ferreira Comments: 5 pages Subj-class: General Mathematics Full-text: PostScript PDF , or Other formats References and citations for this submission: CiteBase (autonomous citation navigation and analysis) Which authors of this paper are endorsers? Links to: arXiv math find abs

82. Apostolos Doxiadis Profile Uncle Petros and Goldbach s conjecture. Uncle Petros and Goldbach s conjecture, by Greek author Apostolos Doxiadis, is a novel about mathematics. http://www.greece.gr/CULTURE/Literature/ApostolosDoxiadisProfile.stm

Home Culture Literature Apostolos Doxiadis Apostolos Doxiadis and the International Language of Numbers Uncle Petros and Goldbach's Conjecture Uncle Petros and Goldbach's Conjecture , by Greek author Apostolos Doxiadis , is a novel about mathematics. Pure mathematics. An unlikely candidate, one might imagine, to breach the impasse that has denied a generation of Greek novelists The novel is also breaking new ground by bringing abstract mathematics to the world of literary fiction. While recent works of non-fiction, such as Simon Singh's best-selling Fermat's Last Theorem, have offered glimpses into the realms of mathematical research, Doxiadis is unique in daring to hinge a work of original fiction on the language of numbers. Author and critic George Steiner enthuses: "The translation of the languages of mathematics, of the mathematician's works and days, into common speech is exceedingly rare, if not impossible (...) Doxiadis' concise novel is deeply generous. It allows the lay-reader lucid access to intrinsically closed worlds." Mathematicians, too, have delighted in the novel's achievement, including Field's Medallist Sir Michael Atiyah: "It is brilliantly written - a mathematical detective story of great charm - and it certainly succeeds in capturing much of the spirit of mathematical research."

83. Incompleteness Theorems. Related Results. By K.Podnieks Let us consider the famous Goldbach s conjecture from 1742 by Christian Goldbach (16901764) every even number greater than 2 can be expressed as a sum of two http://www.ltn.lv/~podnieks/gt6a.html

universal, formulas, statements, sentences, consistent, provable, Goldbach conjecture, Berry paradox, Goldbach, conjecture, paradox, Berry, incompleteness Back to title page Left Adjust your browser window Right 6.7. Consistent Universal Statements Are Provable Let us consider the famous Goldbach's Conjecture from 1742 by Christian Goldbach every even number greater than 2 can be expressed as a sum of two prime numbers . For example (the really interesting numbers are shown in bold), See also http://mathworld.wolfram.com/GoldbachConjecture.html Assume, you are a Platonist believing that Goldbach's Conjecture is, "in fact", true. I.e. if you take any even number n, it can be expressed as a sum of two primes. If it can, you can determine these two primes p + p = n simply by trying n = (n-3)+3, n=(n-5)+5, n=(n-7)+7, n=(n-11)+11, etc. up to n=k+k. Any particular true equality p + p = n, i.e. p times p times - n times can be proved in PA (see Exercise 3.4a Let Go(x) be a formula expressing in PA the following (computable) predicate go(x): "If x is an even number greater than 2, then x is a sum of two primes"

84. Wikinfo | Goldbach's Conjecture Goldbach s conjecture. Goldbach s conjecture is one of the oldest unsolved problem in number theory and in all of mathematics. It states http://www.internet-encyclopedia.org/wiki.php?title=Goldbach's_conjecture

85. On Partitions Of Goldbach's Conjecture Title On Partitions of Goldbach s conjecture Authors Woon, Max SC Journal eprint arXivmath/0010027 Publication Date 10/2000 Origin ARXIV Keywords http://adsabs.harvard.edu/abs/2000math.....10027W

NASA ADS ArXiv Preprints Abstract Service Find Similar Abstracts (with default settings below ArXiv Preprint (see Abstract Preferences Translate Abstract Title: On Partitions of Goldbach's Conjecture Authors: Woon, Max S. C. Journal: eprint arXiv:math/0010027 Publication Date: Origin: ARXIV Keywords: General Mathematics, Number Theory Bibliographic Code: Abstract An approximate formula for the partitions of Goldbach's Conjecture is derived using Prime Number Theorem and a heuristic probabilistic approach. A strong form of Goldbach's conjecture follows in the form of a lower bounding function for the partitions of Goldbach's conjecture. Numerical computations suggest that the lower and upper bounding functions for the partitions satisfy a simple functional equation. Assuming that this invariant scaling property holds for all even integer $n$, the lower and upper bounds can be expressed as simple exponentials. Bibtex entry for this abstract Custom formatted entry for this abstract (see Preferences) Find Similar Abstracts: Use: Authors Title Keywords (in text query field) Abstract Text Return: Query Results Return items starting with number Query Form Database: Astronomy/Planetary Instrumentation Physics/Geophysics ArXiv Preprints NASA ADS Homepage ADS Sitemap Query Form Preferences ... FAQ

86. Find Book Review For Uncle Petros And Goldbach's Conjecture At BiblioReview.com A gateway to book reviews, author interviews and other bookrelated resources. Links to reviews and interviews, featuring bestselling http://www.biblioreview.com/findbook.asp?BookPageID=5321

87. Count On - The Sum Newpaper PUBLISHING giant Faber and Faber is offering a prize of one million dollars to anyone who can prove the theory known as Goldbach s conjecture within the next http://www.counton.org/thesum/issue4/sunbottom.html

Prize Sparks Goldbach Fever PUBLISHING giant Faber and Faber is offering a prize of one million dollars to anyone who can prove the theory known as Goldbach's Conjecture within the next two years. The offer is part of the publicity drive for a new book by a Greek mathematician and author Apostolos Doxiadis called Uncle Petros and Goldbach's Conjecture in which a man dedicates his life to the challenge. The book has already been translated into 15 languages and Faber has high hopes of it becoming a bestseller, given the recent success of stories about great scientific quests like Dava Sovel's Longitude and Simon Singh's Fermat's Last Theorem. If you don't know what Goldbach's Conjecture is, see the box below. If you do, then there is a chance you may want to throw your hat into the ring and have a shot at the million dollar prize. Be warned though, the proof has to be published by a respectable mathematical journal within two years and proved correct by Faber's panel of experts. Faber has spent a five-figure sum insuring itself again a pay-out, but boss Tony Faber said he would be happy to hand over the prize. He said: "Now that we are insured, I'd love it if someone won."

88. Doxiadis, ApostolosUncle Petros And Goldbach's Conjecture Doxiadis, Apostolos Uncle Petros And Goldbach s conjecture. 2000 New York. Bloomsbury. 1st US Edition. Hard Cover. 1582340676. Very Good in Very Good DJ $7.00. http://www.popula.com/sh/no_737/2152241.htm

Doxiadis, Apostolos Uncle Petros And Goldbach's Conjecture 2000: New York. Bloomsbury. 1st US Edition. Hard Cover. 1582340676. Very Good in Very Good DJ This item has been offered on Popula, your favorite spot for cool and hard-to-find merchandise. To learn more, just click here. Home Register Sell! ... Popula Company

89. Doxiadis, ApostolosUncle Petros And Goldbach's Conjecture Doxiadis, Apostolos Uncle Petros And Goldbach s conjecture. 2000 New York. Bloomsbury. 1st US Edition. Hard Cover. 1582340676. Very http://www.popula.com/sh/no_766/2158078.htm

Doxiadis, Apostolos Uncle Petros And Goldbach's Conjecture 2000: New York. Bloomsbury. 1st US Edition. Hard Cover. 1582340676. Very Good in Very Good DJ; Small tear in dust jacket This item has been offered on Popula, your favorite spot for cool and hard-to-find merchandise. To learn more, just click here. Home Register Sell! ... Popula Company

90. Footnotes Footnotes. Goldbach s conjecture Every even number can be expressed as the sum of two prime numbers. ; Here algorithmic efficiency http://www.iiap.res.in/personnel/srik/guide.html

Footnotes Goldbach's conjecture: "Every even number can be expressed as the sum of two prime numbers." Here algorithmic efficiency is meant: in an efficient algorithm, number of computations should not scale exponentially with input size.

91. Flak Magazine Review Of Uncle Petros Goldbach S Conjecture, 05 Books Uncle Petros Goldbach s conjecture. by Apostolos Doxiadis. Bloomsbury USA. Uncle Petros Goldbach s conjecture is a riveting debut. http://flakmag.com/books/goldbach.html

Section Links Book Archives Book Submissions Guidelines Search Flak Powered by Google Recently in Books Irving Howe by Gerald Sorin The Mission by Dana Priest War Is a Force That Gives Us Meaning by Chris Hedges On the Natural History of Destruction by W.G. Sebald Of Paradise and Power by Robert Kagan Cad by Rick Marin Field Guide to Stains by Virginia Friedman, Melissa Wagner, and Nancy Armstrong Fat Land by Greg Critser Speer: The Final Verdict by Joachim Fest Snowball's Chance by John Reed More Books: The Book Archives Mailing List Sign up for Flak's monthly e-mail updates: Subscribe Unsubscribe About Flak About Flak Emails to Flak Submissions Rec Reading Books: by Apostolos Doxiadis Bloomsbury USA "One of life's failures." That is the casual dismissal Doxiadis' narrator receives when he asks his father about his reclusive uncle Petros Papachristos, who seems to spend all of his spare time gardening at his home in Ekali, a hamlet on the outskirts of Athens. (The novel is translated from Greek and was published in Greece in 1992.) Naturally, the narrator becomes curious, deciding to find out for himself the information his father fails to provide. Fortunately for us, he takes his reader along, as he pokes around the reclusive Petros's house and craftily reroutes and intercepts his uncle's mail.

92. Goldbach Conjecture Research Information on research on proving the Goldbach conjecture that any even number can be represented as the sum of two prime numbers. http://www.petrospec-technologies.com/Herkommer/goldbach.htm

Goldbach Conjecture Research by Mark Herkommer May 24, 2004 The Conjecture... This conjecture dates from 1742 and was discovered in correspondence between Goldbach and Euler. It falls under the general heading of partitioning problems in additive number theory. Goldbach made the conjecture that every odd number > 6 is equal to the sum of three primes. Euler replied that Goldbach's conjecture was equivalent to the statement that every even number > 4 is equal to the sum of two primes. Because proving the second implies the first, but not the converse, most attention has been focused on the second representation. The smallest numbers can be verified easily by hand: Of course all the examples in the world do not a proof make. Research On The Conjecture... As a partitioning problem it is worth noting that as the numbers get larger the number of representations grows as well: This would suggest that the likelihood of finding that exceptional even number that is not the sum of two primes diminishes as one searches in ever larger even numbers. Euler was convinced that Goldbach's conjecture was true but was unable to find any proof (Ore, 1948). The first conjecture has been proved for sufficiently large odd numbers by Hardy and Littlewood (1923) using an "asymptotic" proof. They proved that there exists an n0 such that every odd number n > n0 is the sum of three primes. In 1937 the Russian mathematician Vingradov (1937, 1954) again proved the first conjecture for a sufficiently large, (but indeterminate) odd numbers using analytic methods. Calculations of n0 suggest a value of 3^3^15, a number having 6,846,169 digits (Ribenboim, 1988, 1995a).

93. Unsolved Problem 5 29Jan-1995 Unsolved Problem 5 Is every even integer larger than 2 the sum of two primes? A prime number is an integer larger than http://cage.rug.ac.be/~hvernaev/problems/Problem5.html

29-Jan-1995 Unsolved Problem 5: Is every even integer larger than 2 the sum of two primes? A prime number is an integer larger than 1 whose only positive divisors are 1 and itself. For example, the even integer 50 is the sum of the two primes 3 and 47. Reference: [Beiler 1966] Albert H. Beiler, Recreations in the Theory of Numbers: The Queen of Mathematics Entertain. 2nd edition. Dover. New York: 1966. Page 225. Each week, for your edification, we publish a well-known unsolved mathematics problem. These postings are intended to inform you of some of the difficult, yet interesting, problems that mathematicians are investigating. We do not suggest that you tackle these problems, since mathematicians have been unsuccessfully working on these problems for many years. general references previous problem problem archive next problem ... electronic publications

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