61. UNCLE PETROS & GOLDBACH'S CONJECTURE: A NOVEL OF MATHEMATICAL OBSESSION Uncle Petros Goldbach s conjecture A Novel of Mathematical Obsession. Goldbach s conjecture demanded him whole his body, his soul and all of his time. . http://www.acsu.buffalo.edu/~insrisg/bookmarks/bk01/0329petros.htm

A Novel of Mathematical Obsession (This column was first published in the March 29, 2001 ArtVoice of Buffalo.) Mathematicians are very different from the rest of us and even from other members of the scientific research community. I state that from personal experience, having dealt with many of them over a lifetime of work in an activity parallel to but never intersecting theirs. Theirs - and I speak here of world class mathematicians - is an activity so different from that of the rest of us that it is extremely difficult to gain insights into it. Greek author Apostolos Doxiadis has, in (Bloomsbury, 2000), achieved the near impossible. He gives the intelligent outsider a view of what it is like to be on the cutting edge of mathematical research. That he does so in a charming family story, a pleasant tale that holds together the mathematical insights is a further achievement of high order. Here, for example, is how the story begins: "Every family has its black sheep in ours it was Uncle Petros. "My father and Uncle Anargyros, his two younger brothers, made sure that my cousins and I should inherit their opinion of him unchallenged.

62. Short Story - Goldbach's Conjecture By Brandon M. Stickney - Page 1 Of 7 Goldbach s conjecture. Goldbach s conjecture (14 ratings) by Brandon M. Stickney Page 1 of 7. Goldbach s conjecture. Brandon M. Stickney. http://www.sffworld.com/authors/s/stickney_brandon/fiction/goldbachsconjecture1.

Support sffworld.com , buy your books through these links ( read more Amazon.com Amazon.co.uk Amazon.de or Amazon.ca Brandon M. Stickney Short Stories Goldbach's Conjecture Goldbach's Conjecture (14 ratings) by Brandon M. Stickney Page 1 of 7 Goldbach's Conjecture Brandon M. Stickney The photo I still have, now brutally folded and fingerprinted, seems to fade, but my own memory is clear, though those who disbelieve now tell me that memory itself cannot be trusted. Memory is an enabler that fills in reality-based details that the mind may be missing and is always ready to employ. If I really saw what I thought I saw, then what I saw was seen among those, other than myself, who refused to see it. It was silver, chrome-a magnetic camouflage hidden among fleeting June clouds and the black sunspots that cluttered my eyes. I still see the awning of my right hand shading my perspective. There as the odd angle of the camera as I brought it up to my eye, and the dizziness that almost toppled me later in my lab. Among the disbelievers, I am untrustworthy I suppose, and as your narrator, I am a guide you need not pay. You can see the photo yourself and your belief, or complacence is payment enough for me, now, after all that has, or has not, happened. Consider yourself saved, if I may be so bold. This began after I had seen it. I wanted to tell her when we were leaving the Red Lobster on Maple Road in Amherst, a suburb thirty miles from Buffalo. I had eaten with Chuck Penney and Page Donohugh, both editors at the

63. Goldbach's Conjecture - My Thoughts Goldbach s conjecture A new line of approach? Goldbach s conjecture. Every even number greater than 4 can be described as the sum of two primes. or,. http://einstein.ssz.com/ssz/goldbach.html

Goldbach's Conjecture - A new line of approach? This document is some doodling with prime numbers and number theory that I like to engage in. It's eventual goal is to resolve several of Goldbach's propositions and potentialy some other prime related questions that are outstanding. I am open to suggestions as to new avenues of approach as well as any references to previous work along these lines. I've not read many number theory books but the approaches and observations I detail below don't seem to appear in any of them. If you know of previous work please share a source reference please. A note on nomenclature: Please send comments to ravage@ssz.com (Jim Choate). Goldbach's Conjecture Every even number greater than 4 can be described as the sum of two primes. or, E: E > 4, E_n = P_1 + P_2 So, we're asking is the sequence of prime numbers sufficient with addition to create all even numbes greater than two? How does one go about such a thing? Are there examples of sequences when coupled with addition that are provably compliant? Is this a well understood problem? It also seems to me that we're using prime odd numbers to prove something about even numbers. This seems problematic to me. Is there a way to convert the problem to all odd's or even's?

64. 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.wikisearch.net/en/wikipedia/g/go/goldbach_s_conjecture.html

Main Page Also see: sampling music sampling statistics samuel barrington saguntum ... samuel smiles 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 weaker but 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

65. Goldbach's Conjecture - Wikipedia, The Free Encyclopedia Uncle Petros and Goldbach s conjectureUncle Petros and Goldbach s conjecture. This book is, much to my surprise, is a great little novel which deserves to become a mini http://www.wikipedia.org/wiki/Goldbachs_conjecture

Goldbach's conjecture From Wikipedia, the free encyclopedia. (Redirected from Goldbachs conjecture In mathematics, 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.) For example, etc. Table of contents 1 Origins 2 Results 3 Trivia 4 External links ... edit 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. (The strong version implies the weak version, as any odd number greater than 5 can be obtained by adding 3 to any even number greater than 2). Without qualification, the strong version is meant. Both questions have remained unsolved ever since. edit 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

66. Problem G: Goldbach's Conjecture Problem G. Goldbach s conjecture. Anyway, your task is now to verify Goldbach s conjecture for all even numbers less than a million. Input Specification. http://www.informatik.uni-ulm.de/acm/Locals/1998/html/goldbach.html

1998/99 ACM International Collegiate Programming Contest University of Ulm Local Contest Problem G Goldbach's Conjecture Input file: goldbach.in In 1742, Christian Goldbach, a German amateur mathematician, sent a letter to Leonhard Euler in which he made the following conjecture: Every even number greater than 4 can be written as the sum of two odd prime numbers. For example: 8 = 3 + 5. Both 3 and 5 are odd prime numbers. Today it is still unproven whether the conjecture is right. (Oh wait, I have the proof of course, but it is too long to write it on the margin of this page.) Anyway, your task is now to verify Goldbach's conjecture for all even numbers less than a million. Input Specification 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 Output Specification 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 n , choose the pair where the difference b - a is maximized. If there is no such pair, print a line saying "Goldbach's conjecture is wrong."

67. Blackwell Synergy - Cookie Absent A Statistician s Approach to Goldbach s conjecture. Neil Sheldon. Summary. Goldbach s conjecture is explored by means of probability. http://www.blackwell-synergy.com/openurl?genre=article&sid=vendor:database&issn=

68. Book Review Apostolos Doxiadis. UNCLE PETROS AND GOLDBACH S conjecture. As a young man he became obsessed with the challenge of trying to prove Goldbach s conjecture. http://homepage.ntlworld.com/anthony.campbell1/bookreviews/r/doxiadis.html

Home Book Reviews Titles Authors ... Subjects Apostolos Doxiadis UNCLE PETROS AND GOLDBACH'S CONJECTURE It is difficult to bring about a successful blend of mathematics and fiction; indeed, not many people have attempted it. However, Doxiadis, who is himself a mathematician, has brought it off brilliantly here. The core of the book is the story of the narrator's uncle, the eponymous Petros. He is a reclusive, living just north of Athens (in a district I know well, as it happens, which makes the whole thing all the more vivid for me). Shunned by his brothers as a failure who threw away his position as a professor in Germany, he is in fact a mathematician of near-genius who has been acquainted with some of the most famous figures in twentieth-century mathematics (Hardy, Ramanujan, Godel). As a young man he became obsessed with the challenge of trying to prove Goldbach's Conjecture. This is one of the great unsolved problems in mathematics and, unlike most others of the kind, it can be stated quite simply: every even number greater than 2 is is the sum of two primes. If he could prove it, Petros would be recognized as one of the greatest mathematicians of all time. However, he failed, and the consequent sense of disappointment destroyed his life. A complex relationship, sometimes affectionate, sometimes resentful, and evolving over many years, develops between uncle and nephew. Inspired by their conversations, the nephew decides to become a mathematician himself; Petros tries to dissuade him, and finally sets him the notorious Goldbach challenge as a test, though without disclosing that this is what it is. The nephew fails, of course, but goes to the USA to study mathematics anyway, furious with his uncle for the trick he played on him. But in the end he finds he has not the talent or the wish to do original mathematical research and so he returns to Athens and goes into the family business with his father.

69. Uncle Petros And Goldbach's Conjecture - Find, Compare And Buy At BizRate BizRate has the lowest prices and best customer reviews for Uncle Petros and Goldbach s conjecture. Uncle Petros and Goldbach s conjecture. http://bizrate.com/marketplace/search/search__cat_id--8073,keyword--K,prod_id--4

Log in to your account June 6, 2004 Home Computers Electronics Travel ... Jewelry All Departments I'm shopping for in All Departments Character Studies Books Special Offers Store Ratings Report an error or bug Home Character Studies Books K var noads = 0; Uncle Petros and Goldbach's Conjecture Author: Apostolos K. Doxiades Released: 2001, Format: Paperback Overall Product Rating: Price range: to at 12 stores See Product Details See All Formats Write a Review Not what you're looking for? Search all departments for "K" Found at stores sort by Store Name sort by Would Shop Again sort by On Time Delivery sort by Customer Support sort by Prod. Met Expect. sort by Customer Certified sort by Price BestPrices.Com Avail: In Stock Condition: New Go! Read 5,000+ reviews Booksamillion.com Avail: In Stock Condition: New Go! Read 100,000+ reviews Amazon.com Not Customer Certified Avail: See Site Condition: New Go! Read 5,000+ reviews Walmart.com Not Customer Certified Avail: In Stock Condition: New Go! Read 50,000+ reviews Overstock.com Avail: In Stock Condition: New Go!

70. VALUE LOGIC: GOLDBACH'S CONJECTURE VALUE LOGIC GOLDBACH S conjecture. “Every even number is the sum of two primes”. Mansur Darlington points out a parallel. “Every http://www.valuelogicmaths.com/description2.htm

VALUE LOGIC: GOLDBACH'S CONJECTURE “Every even number is the sum of two primes” Mansur Darlington points out a parallel             “Every MARRIAGE is the SUM of 2 INDIVIDUALS (indivisibles)” This truism underlines the point that the theme of every ORGANISM (“Jacob’s ladder”) is its UNIQUE evolution from FEELING to MATTER (DNA)  - building its COSMOS by INTERATION of FEELING with every other UNIQUE ORGANISM (Reciprocal Solipsism). Number theory springs from EXPERIENCE – not the other way round ! Our Family “tree” consists of 2 parents, 4 grand parents 2 N   ancestors N generations back.  Our “theme” as an INDIVIDUAL (“prime”) is any “line of descent” we like to choose (see Jacob’s Ladder), and the ramifications from this “theme” which constitute its “three”. Our ancestry which starts as cut and dried rings of “Primes” quickly fades into a Scotch mist when 2 N  becomes big.  This Scotch mist is US – every particle essential to our existence – WE are the living embodiment of our entire “ancestry”. If we draw the first few generations of our ancestry we see that they are concentric circles with us as centre.  Our ancestry (us) is the slice through the ONION model which we carry about with us – it is the COSMOS with TIME squashed flat – the “flat universe”.

71. Uncle Petros And Goldbach's Conjecture Apostolos Doxiadis Uncle Petros and Goldbach s conjecture Apostolos Doxiadis. Author or Artist Apostolos Doxiadis. Title Uncle Petros and Goldbach s http://www.outdoorpursuitsonline.co.uk/Apostolos-Doxiadis-Uncle-Petros-and-Goldb

Uncle Petros and Goldbach's Conjecture Apostolos Doxiadis Author or Artist : Apostolos Doxiadis Title: Uncle Petros and Goldbach's Conjecture Doxiadis Apostolos Apostolos Doxiadis Subject: Fiction Category: Fiction General Format: Paperback Tanika Gupta-The Waiting Room (StageScript)... Kazuo Ishiguro-When We Were Orphans... Giles Foden-Zanzibar... Joel Coen Ethan Coen-O Brother, Where Art Thou?... ... David Clarke-Heinemann Higher Mathematics...

72. Book Review: Uncle Petros And Goldbach's Conjecture (Apostols Doxiadis) Book Review Uncle Petros and Goldbach s conjecture (Apostols Doxiadis) by Anthony Campbell ac@EMAIL PROTECTED Aug 14, 2003 at 0847 AM http://www.talkaboutabook.com/group/rec.arts.books.reviews/messages/3909.html

Home Books Reviews 2 Book Review: Un... Post 1 of 1 Topic 105 of 171 Book Review: Uncle Petros and Goldbach's Conjecture (Apostols Doxiadis) Aug 14, 2003 at 08:47 AM An HTML version of this review is available at: http://www.acampbell.org.uk/bookreviews/ http://www.acampbell.org.uk (book reviews and articles) Email: replace "www." with "ac@[EMAIL PROTECTED] " Post 1 of 1 Topic 105 of 171 1 Posts in Topic: Book Review: Uncle Petros and Goldbach's Conjecture (Apostols Do Post A Reply: About Advertising Contact Frequently Asked Questions ... Signup Sun Jun 6 3:12:17 EDT 2004.

73. Singlefile: Uncle Petros And Goldbach's Conjecture Singlefile Organize Your Books, Search your book collection Keyword. Uncle Petros and Goldbach s conjecture by Apostolos K http://books.singlefile.com/dmd/1582340676

You are viewing dmd's book collection. To organize your own book collection, sign-up for your own Singlefile membership today. Search your book collection Keyword Author Title ISBN Format Publisher Uncle Petros and Goldbach's Conjecture by Apostolos K. Doxiades Rated at Amazon Print Basic Info Purchase Info Detailed Info Inventory Info ISBN Date Oct/01/02 Rating Good Location Home Format Hardcover From Half Category Fiction Loaned to Pages Price Genre Science - Mathematics Loaned on Copright Condition Condition new, tear in jacket Publisher Bloomsbury USA Value Price: Series Notes/Misc Custom 1 Custom 2 Recommendations in association with Amazon.com Related books: (Links open up new browser windows to Amazon.com) The Parrot's Theorem: A Novel by Denis Guedj The Wild Numbers by Philibert Schogt Turing (A Novel about Computation) by Christos H. Papadimitriou ...Or, explore other similar books at Amazon.com Some other books by Apostolos K. Doxiades: (Links open up new browser windows to Amazon.com)

74. Perl Buzz Forum - (Golf) GoldBach S Conjecture Perl Buzz Forum (Golf) GoldBach s conjecture. 0 replies on 1 page. (Golf) GoldBach s conjecture (View Original), Posted Aug 19, 2003 927 PM, http://www.artima.com/forums/flat.jsp?forum=166&thread=10759

75. A New Golf "Goldbach's Conjecture" Has Started http://www.mail-archive.com/golf@perl.org/msg01741.html

golf Chronological Find Thread A new golf "Goldbach's Conjecture" has started From: Mtv Europe Subject: A new golf "Goldbach's Conjecture" has started Date: Mon, 18 Aug 2003 11:59:09 -0700 Hello! We're testing backup server for our minigolfs, please enjoy new nondeterministic golf "Goldbach's Conjecture" at Please route your questions to me, [EMAIL PROTECTED] or to Terje, [EMAIL PROTECTED] Mtv Europe A new golf "Goldbach's Conjecture" has started Mtv Europe Chronological Thread Reply via email to

76. Problem 1951 Goldbach s conjecture. Time maximized. If there is no such pair, print a line saying Goldbach s conjecture is wrong. . Sample Input 8 20 42 0. http://acm.zju.edu.cn/show_problem.php?pid=1951

77. Problem 1657 Goldbach s conjecture. Time limit 1 Seconds Memory limit 32768K Total Submit 741 Accepted Submit 367. Goldbach s conjecture For http://acm.zju.edu.cn/show_problem.php?pid=1657

78. Weak Counterexamples: A Supplement To Luitzen Egbertus Jan Brouwer Consider a still open problem in mathematics, such as Goldbach s conjecture (the conjecture that every even number equal to or greater than 4 is the sum of two http://plato.stanford.edu/entries/brouwer/weakcounterex.html

Stanford Encyclopedia of Philosophy Supplement to Luitzen Egbertus Jan Brouwer Weak Counterexamples Here are four weak counterexamples. Consider a still open problem in mathematics, such as Goldbach's conjecture (the conjecture that every even number equal to or greater than 4 is the sum of two prime numbers). As an illustration of the technique that Brouwer used to generate weak counterexamples to other classically valid statements, we show three more weak counterexamples, adapted from the first Vienna lecture (Brouwer, 1929). They are based on a sequence of rational numbers a( n ), defined in terms of Goldbach's conjecture, as follows: a( n n if for all j n j +4 is the sum of two primes k if for some k n, 2 k +4 is not the sum of two primes The sequence of the a( n ) satisfies the Cauchy condition (the condition that for every rational number j )-a( k for all j k n , any two members of the sequence after a( n n of each other. Therefore the sequence converges and determines a real number From the way is constructed, it is clear that we can assert that =0 only when we know that always the first clause of the definition of a( n ) applies, in other words, only when we have proved Goldbach's conjecture; and we can assert that

79. PerlDiscuss.com - A New Golf "Goldbach's Conjecture" Has Started Home Links Contact Us About Us. PerlDiscuss Perl Newsgroups and mailing lists. A new golf Goldbach s conjecture has started. perl.golfAnswer. http://www.perldiscuss.com/article.php?id=2069&group=perl.golf

80. [math/0010027] On Partitions Of Goldbach's Conjecture On Partitions of Goldbach s conjecture. Authors Max SC Woon Subjclass General Mathematics; Number Theory An approximate formula http://arxiv.org/abs/math.GM/0010027/

Mathematics, abstract math.GM/0010027 From: Max S.C. Woon [ view email ] Date ( ): Tue, 3 Oct 2000 03:32:31 GMT (4kb) Date (revised v2): Wed, 4 Oct 2000 20:16:27 GMT (4kb) On Partitions of Goldbach's Conjecture Authors: Max S.C. Woon Subj-class: General Mathematics; Number Theory 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. 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

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