61. Count On - Explorer goldbach's conjecture We have seen that a prime number is one whose only factorsare itself and 1. Mathematicians often exclude 1 itself from the list of prime http://www.mathsyear2000.org/explorer/primes/goldbachsConj.shtml

Goldbach's Conjecture We have seen that a prime number is one whose only factors are itself and 1. Mathematicians often exclude 1 itself from the list of prime numbers because 1 is an exception for many theorems (mathematical results that have been proved) about prime numbers. The prime numbers up to 100 are: One fact that has been proved is that Every Number is the Product of Prime Numbers is just one way By just one way we mean that if we list the prime factors in order, allowing repeated numbers, then there is only one unique collection of such prime numbers for every single whole number. For instance, 12 = 2x2x3 as a product of prime numbers, and no other set of prime numbers will have 12 as its product. What about adding prime numbers rather than multiplying them? Christian Goldbach (1690-1764), a Professor of Mathematics at the Russian Imperial Academy, thought about this question. The simplest case is to use just two prime numbers in a sum. So for instance here are some small numbers written as the sum of two primes: However, we cannot find two primes with a sum of 27.

62. PlanetMath: Goldbach's Conjecture goldbach's conjecture, (Conjecture). The unproved. goldbach's conjecture is owned by drini. full author list (3) . (view preamble) http://planetmath.org/encyclopedia/GoldbachsConjecture.html

Math for the people, by the people. Encyclopedia Books Papers Expositions ... Random Login create new user name: pass: forget your password? Main Menu the math Encyclop¦dia Papers Books Expositions meta Requests Orphanage Unclass'd Unproven ... Corrections talkback Polls Forums Feedback Bug Reports 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 view preamble View style: HTML with images page images TeX source See Also: prime Cross-references: Riemann hypothesis divisors primes integer This is version 6 of Goldbach's conjecture, born on 2002-01-24, modified 2002-12-28.

63. Uncle Petros Excerpt Uncle Petros goldbach's conjecture. From Uncle Petros and Goldbach'sConjecture by Apostolos Doxiadis , pp. 6467 (US edition). http://www.greece.gr/CULTURE/Literature/UnclePetrosExcerpt.stm

Home Culture Literature English edition to Uncle Petros and Goldbach's Conjecture From Uncle Petros and Goldbach's Conjecture by Apostolos Doxiadis , pp. 64-67 (US edition) 'Every even number greater than 2 can be written as a sum of two primes.' 'You surely can't prove that', said the famous mathematician. 'Not yet,' answered Petros, 'although I'm sure it's a general principle. I've checked it up to 10,000!' 'What about the distribution of the prime numbers? Caratheodory asked. 'Can you figure a way to calculate how many primes there are lesser than a given number n?' 'No,' answered Petros, 'but as n approaches infinity the quantity gets very close to its ratio by the natural logarithm.' Caratheodory gasped. 'You must have read that somewhere!' 'No, sir, it just seems a reasonable extrapolation from my tables. Besides, the only books at my school are about geometry.' The Professor's previously stern expression now gave way to a beaming smile. He called Petros' father inside and told him that to subject his son to two more years of high school would be a complete waste of precious time. Denying his extraordinarily gifted boy the best that mathematical education had to offer would be tantamount, he said, to 'criminal negligence'. Caratheodory would arrange to have Petros immediately admitted to his university - if his guardian consented, of course.

64. 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."

65. Goldbach's Conjecture (II) - Ranklist Compile Error, 331. Restricted Function, 6. 686 goldbach's conjecture (II)Last update on Thu Feb 06 153022 UTC 2003 Judge Host, Address, System, CPU. http://acm.uva.es/cgi-bin/OnlineJudge?ProblemStat:686

66. Goldbach's Conjecture - Ranklist Compile Error, 454. Restricted Function, 15. 543 goldbach's conjecture Lastupdate on Thu Feb 06 154709 UTC 2003 Judge Host, Address, System, CPU. http://acm.uva.es/cgi-bin/OnlineJudge?ProblemStat:543

67. Math Trek : Goldbach's Prime Pairs, Science News Online, Aug. 19, 2000 There are strong grounds for believing that goldbach's conjecture is true, andIt Uncle Petros and goldbach's conjecture. New York Bloomsbury Publishing. http://www.sciencenews.org/20000819/mathtrek.asp

Home page. Math Trek Goldbach's Prime Pairs Food for Thought Chocolate Therapies (with recipe for Janet’s Chocolate Medicinal Mousse Pie) Science Safari Earth Views TimeLine 70 Years Ago in Science News Week of Aug. 19, 2000; Vol. 158, No. 8 Goldbach's Prime Pairs Ivars Peterson Like the elements in chemistry, prime numbers serve as building blocks in the mathematics of whole numbers. Evenly divisible only by themselves and one, primes are a rich source of speculative ideas that mathematicians often find simple to state but difficult to prove. The Goldbach conjecture is a prime example of such a conundrum. In a letter written in 1742 to Leonhard Euler (1707–1783), the historian and mathematician Christian Goldbach (1690–1764) expressed the belief that every integer greater than 5 is the sum of three primes. (See the letter at http://www.euler2007.com/Letter_1742-Mathematics.htm Euler replied, pointing out that Goldbach's statement is equivalent to the conjecture that every even integer greater than or equal to 4 is the sum of two primes. He went on to note, "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 in proving the Goldbach conjecture has been slow. In the best effort to date, Chen Jing-Run proved in 1966 that beyond some large number, every even integer may be written as the sum of a prime number and a number that is either a prime or a product of two primes.

68. Goldbachs Conjecture - Acapedia - Free Knowledge, For All Friends of Acapedia goldbach's conjecture. goldbach's conjecture is one ofthe oldest unsolved problems in number theory and in all of mathematics. http://acapedia.org/aca/Goldbachs_conjecture

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69. Ìàòåìàòè÷åñêèé æóðíàë â Èíòåðíåò ?, Proof of goldbach's conjecture ! 4.2.3. Hello All. Proofof goldbach's conjecture ! 4.2.3. Proof of goldbach's conjecture ! 3.2.3. http://mathmag.spbu.ru/conference/fido7.ru.math/12921/

Derive Subscribe.Ru HTML TEXT KOI LAT WIN fido7.ru.math Proof of Goldbach's Conjecture ! Hello All. ×òî íàpîä ìîæåò ñêàçàòü ïî ïîâîäó ñàáæà ? Âpîäå ýòî ñîáûòèå îñòàëîñü íåçàìå÷åíûì â ýõå õîòÿ ïpîèçîøëî îêîëî ïîëóãîäà ß ãîâîpþ îá ýòîì : xxx.lanl.gov/ftp/math/papers/0206/0206033.pdf À âåäü ïpîøëî âñåãî 260 ëåò ... Ñ óâàæåíèåì, Alexandr. Proof of Goldbach's Conjecture ! Proof of Goldbach's Conjecture ! Proof of Goldbach's Conjecture ! webmaster (mashiah(íà)lenta.ru)

70. ¸çµÂ°ÍºÕ²ÂÏë kongjun hello,friend I'ma chinese boy,i've a uncle,he is very interesting in Goldbach'sconjec ture.and he hsve study goldbach's conjecture over 20 years! http://has.ied.edu.hk/has/forum/maths/messages/27.htm

Follow Ups Post Followup Discussion Forum FAQ Date: June 15, 2001 at 23:37:29 From: kongjun hello,friend: I'm a chinese boy,i've a uncle,he is very interesting in Goldbach's conjec ture.and he hsve study Goldbach's conjecture over 20 years! Taday,he is 60.he has proofed Goldbach's conjecture many years ago.but no man,no place,no any Universi ty Professor can say:"you are right or wrong!' I saw a news in the internet 3days ago,It is ¾Ý°ÂÐÂÉ籨µÀ£¬Ó¢¹ú·Ñ²®³ö°æÉçºÍ ¿ÉÒÔµµ½Ò»°ÙÍòÀÔªµÄ½±½ð¡£(I's chinese,not English).100 million $ is pride to the one who'v solved Goldbach's conjecture . I think this pride must belong to my uncle! he use the a new method of 'filtration'and a method of the name he named "ÎÞ ÏÞ·Ö¸îµÝ¼õ·¨'¡££¨excuse me I'm english is very poor,I can't interpret it to Engli sh£© however,you are a University Professor ,In China,you perhaps know the unive rsitise and the departent have shut the door of it. If my uncle,he's a farmer,can get his prize,you can get 20%. I hope your response!!!! please help me .

71. John Jaroma Solve goldbach's conjecture! On March 20, 2000, Faber and Faber Publishers publishedthe novel Uncle Petros and goldbach's conjecture by Apostolos Doxiadis. http://cs.nmu.edu/colloquium/speakers/2001 MAA/jaroma.htm

John Jaroma Lake Superior State University “Extending a Result of Drobot Regarding Primes in the Fibonacci Sequence” In the February, 2000 issue of the Fibonacci Quarterly , Vladimir Drobot of San Jose State University established sufficient conditions for a Fibonacci number of prime index to be composite. In this talk, we shall correlate Drobot's result with some earlier independent propositions attributable to R. D. Carmichael (1914) and D. L. Lehmer (1930) in order to draw conclusions regarding primitive factors in both the Fibonacci and Lucas sequences. Lawrence Ellerbruch Northern Michigan University “Fibonacci, Phi, and Magical Reciprocals” Some questions relative to the Fibonacci sequence with techniques lower division students can use to determine some results. Harold Martin Northern Michigan University “The 9’s Property for Repeating Decimals” Abstract: The following is established in one of the chapters of Ross Honsberger’s book Ingenuity in Mathematics. If p is a prime and if the period in the decimal expansion of 1/p is even, then p has the 9’s property.

72. Sensible Erection | Goldbach's Conjecture Monday, 9 September 2002 goldbach's conjecture quote goldbach's conjecture wasfirst stated in 1742 in a letter written by Christian Goldbach to the great http://www.sensibleerection.com/entry.php/5719

The ComicBook Factory - FREE animated cartoons for grown ups Sponsored Link Monday, 9 September 2002 Goldbach's conjecture quote [ Goldbach's Conjecture was first stated in 1742 in a letter written by Christian Goldbach to the great Swiss mathematician Leonard Euler. The Conjecture is popularly represented as the conjecture that Every even number greater than two is the sum of two primes Although Euler spent much time trying to prove it, he never succeeded. For the next 250 years, other mathematicians would struggle in similar fashion. The proof has not been found to this day, and Goldbach's Conjecture is acknowledged to be one of the most notoriously difficult problems in all of mathematics. ] If you you can prove it, these bastards want to give you a million bucks. For more info: http://primes.utm.edu/glossary/page.php?sort=GoldbachConjecture [by Score:1 Interesting Comments taeyn said @ 1:36pm GMT on 9th Sep cool, but I think they published the book two years ago ;) Darklord Bob said @ 2:09pm GMT on 9th Sep Also, the fact that this conjecture is two and a half centuries old, and nobody has proven it makes this a pretty safe bet for the publisher...

73. Math Bounties goldbach's conjecture states Every even number greater than two is the sum oftwo primes. Sounds easy enough, but to prove it is always true, to infinity http://www.acfnewsource.org/science/math_bounties.html

SEARCH STORIES: Navigation March 18, 2003 Math Bounties The Osgood File (CBS Radio Network): 9/9/02 The Osgood File (CBS Radio Network): 4/4/02 Printer-friendly version E-mail this story to a friend Will cash prizes help in the quest to solve the world's hardest math problems? Goldbach's Conjecture states: "Every even number greater than two is the sum of two primes." Sounds easy enough, but to prove it is always true, to infinity, is a challenge that has befuddled mathematicians for generations. "Goldbach's conjecture is attractive because the statement is so simple," says Matt Foreman, professor of mathematics at the University of California, Irvine. "I can explain it to a child, so it feels like a scandal that it hasn't been settled yet." Why? "I don't know – if I did, maybe I could solve it." In recent years, various institutions have added a new incentive for heavy-hitting mathematicians to tackle Goldbach's Conjecture and other yet-to-be-solved puzzles of mathematics: major cash prizes. $1 million now there's a nice, even number. That's what a British publishing firm is offering up for a proof to Goldbach's Conjecture. The Clay Mathematics Institute of Cambridge, Mass. is offering $1 million for a solution to any of its seven "Millennium Prize Problems". And yes, participants can solve more than one of the seven and get $1 million for each proof. Last summer, the Norwegian government authorized $22 million to fund an international prize in math, in part to make up for the lack of a Nobel Prize in the field.

74. Historia Matematica Mailing List Archive: Re: [HM] Goldbach's C Re HM goldbach's conjecture. Subject Re HM goldbach's conjecture FromMichele Emmer (M.Emmer@iol.it) Date Sat Mar 18 2000 042546 EST. http://sunsite.utk.edu/math_archives/.http/hypermail/historia/mar00/0087.html

Re: [HM] Goldbach's Conjecture Subject: Re: [HM] Goldbach's Conjecture From: Michele Emmer ( M.Emmer@iol.it Date: Sat Mar 18 2000 - 04:25:46 EST Next message: Emili Bifet: "Re: [HM] L'Hopital, Pythagoras, Ptolemy and Hilbert" Previous message: John Conway: "Re: [HM] Caratheodory Biography" In reply to: James A. Landau: "[HM] Goldbach's Conjecture" Next in thread: Julio Gonzalez Cabillon: "Re: [HM] Goldbach's Conjecture" Reply: Michele Emmer: "Re: [HM] Goldbach's Conjecture" Reply: Julio Gonzalez Cabillon: "Re: [HM] Goldbach's Conjecture" Messages sorted by: [ date ] [ thread ] [ subject ] [ author ] ... http://www.royalsoc.ac.uk Your reference is to a journal called "Times", or is it "The Times"? I am interested in having a copy of the original article. Michele Emmer emmer@mat.uniroma1.it Next message: Emili Bifet: "Re: [HM] L'Hopital, Pythagoras, Ptolemy and Hilbert" Previous message: John Conway: "Re: [HM] Caratheodory Biography" In reply to: James A. Landau: "[HM] Goldbach's Conjecture" Next in thread: Julio Gonzalez Cabillon: "Re: [HM] Goldbach's Conjecture" Reply: Michele Emmer: "Re: [HM] Goldbach's Conjecture" Reply: Julio Gonzalez Cabillon: "Re: [HM] Goldbach's Conjecture" Messages sorted by: [ date ] [ thread ] [ subject ] [ author ] This archive was generated by hypermail 2b28 Sat Mar 18 2000 - 10:43:41 EST

75. Buy Uncle Petros And Goldbach'S Conjecture From Aarons Books Uk Looking for Uncle Petros And goldbach's conjecture by Apostolos Doxiadis? Buy ithere and get free delivery in the UK! Uncle Petros And goldbach's conjecture. http://www.aarons-books.co.uk/p/uncle-petros-and-goldbach-s-conjecture-057120203

Uncle Petros And Goldbach'S Conjecture by Apostolos Doxiadis Title: Uncle Petros And Goldbach'S Conjecture Add to Basket An inspiring novel of intellectual adventure and the exhilaration of pure mathematics, this is also a story of the rivalry, antagonism and sense of impending failure which haunts those who pursue impossible goals. Should delight readers of 'Sophie's World', 'A Beautiful Mind' and 'Fermat's Last Theorem'. Huge review coverage guaranteed, one to watch! Author: Apostolos Doxiadis Publisher: In: With: FABER AND FABER LTD PAPERBACK 209 pages Search for more books by Recommended Home View Basket New Titles Special Offers ... Links Aarons Books, Unit 15, Rowland Hill Centre, Kidderminster, Worcs. DY10 1EJ

76. Footnotes Footnotes. goldbach's conjecture Every even number can be expressedas the sum of two prime numbers. ; Here algorithmic efficiency http://www.iiap.ernet.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.

77. Math 500, Spring 2002 Organizational Committee; UIUC VIGRE information. Schedule. Monday,28 January Kevin O'Bryant goldbach's conjecture ABSTRACT. This http://www.math.uiuc.edu/~ssather/MATH/math500_sp02.html

Math 500, Spring 2002 The intention of Math 500 is to serve as an "advanced version of Math 400 ," providing a forum for advanced graduate students and postdoctoral associates to deliver seminar talks geared toward an audience consisting of graduate students who are at an earlier stage of their research. Explicitly, the lectures should "give a broad picture of the research interests of the speaker, a sketch of the area that they are most interested in studying, and a compressed version of what the future holds for their field." Math 500 meetings will take place Mondays at 4:00 PM in 241 Altgeld Hall. Organizational Committee UIUC VIGRE information Schedule Monday, 28 January Kevin O'Bryant Goldbach's Conjecture ABSTRACT. This talk, aimed at graduate students who are not in analytic number theory, will indicate some of the basic ideas behind the attempts to solve Goldbach's Conjecture. Each of the ideas (sieves, circle method, probabilistic models of the integers, geometry of sumsets) has become substantially more subtle in the last several years, raising hopes that Goldbach's Conjecture may soon be Somebody's Theorem. Monday, 11 February

78. PenguinIndia Uncle Petros and goldbach's conjecture by Apostolos Doxiadis. Faber Faber.0571205119, , Paperback. A format, , 224 pages, , £ 3.99. Published price£5.99. http://www.penguinbooksindia.com/books/aspBookDetail.asp?ID=2694

79. The Android's Dungeon Uncle Petros. On my plane ride back from Belgium, I read Uncle Petros and Goldbach'sConjecture. The point is, goldbach's conjecture is a hard problem. http://www.pseudoprime.com/2000_06_04_archive.html

80. ThinkQuest Library Of Entries Do you think we should convert to the metric system? Why? Back To TheWWW Virtual School PreAlgebra Homepage. goldbach's conjecture. http://library.thinkquest.org/3273/math/palgebra.html

Welcome to the ThinkQuest Internet Challenge of Entries The web site you have requested, WWW Virtual School , is one of over 4000 student created entries in our Library. Before using our Library, please be sure that you have read and agreed to our To learn more about ThinkQuest. You can browse other ThinkQuest Library Entries To proceed to WWW Virtual School click here Back to the Previous Page The Site you have Requested ... WWW Virtual School click here to view this site A ThinkQuest Internet Challenge 1996 Entry Click image for the Site Languages : Site Desciption Students Joe Highview Middle School MN, United States Dan Highview Middle School MN, United States Coaches Jon Highview Middle School MN, United States Jon Highview Middle School MN, United States

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