1. Goldbach's Conjecture - Wikipedia, The Free Encyclopedia From Wikipedia, the free encyclopedia. Jump to navigation, search. Goldbach s conjecture is one of the oldest unsolved problems in number theory and in all http://en.wikipedia.org/wiki/Goldbach's_conjecture

Goldbach's conjecture From Wikipedia, the free encyclopedia Jump to: navigation search Goldbach's conjecture is one of the oldest unsolved problems in number theory and in all of mathematics . It states: Every even integer greater than 2 can be written 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, In other words, the Goldbach conjecture states that every even number greater than or equal to four is a Goldbach number , a number that can be expressed as the sum of two primes. See also Levy's conjecture An illustration of Goldbach's conjecture. Contents Origins Heuristic justification Rigorous results Attempted proofs ... edit Origins On 7 June , the Prussian mathematician Christian Goldbach wrote a letter to Leonhard Euler (letter XLIII) in which he proposed the following conjecture: Every integer greater than 2 can be written as the sum of three primes. He considered 1 to be a prime number , a convention subsequently abandoned. A modern version of Goldbach's original conjecture is: Every integer greater than 5 can be written as the sum of three primes Euler, becoming interested in the problem, replied by noting that this conjecture is equivalent with another version:

2. Goldbach's Conjecture - Simple English Wikipedia, The Free Encyclopedia From Simple English Wikipedia the free encyclopedia that anyone can change. Jump to navigation, search. Goldbach s conjecture is one of the oldest http://simple.wikipedia.org/wiki/Goldbach's_conjecture

Goldbach's conjecture From the Simple English Wikipedia, the free encyclopedia that anyone can change Jump to: navigation search Goldbach's conjecture is one of the oldest unsolved problems in number theory and in all of mathematics . It states: Every even integer greater than 2 can be written as the sum of two primes change Origins On 7 June , the Prussian mathematician Christian Goldbach wrote a letter to Leonhard Euler (letter XLIII) in which he proposed the following conjecture Every integer greater than 2 can be written as the sum of three primes. He considered 1 to be a prime number , a convention subsequently abandoned. A modern version of Goldbach's original conjecture is: Every integer greater than 5 can be written as the sum of three primes. Euler, becoming interested in the problem, answered by noting that this conjecture would follow from a stronger version, Every even integer greater than 2 can be written as the sum of two primes, adding that he regarded this a fully certain theorem ein ganz gewisses Theorema "), in spite of his being unable to prove it.

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7. গোল্ডবাখ ঠনুমা� , . (Goldbach s conjecture ). http://bn.wikipedia.org/wiki/Goldbach's_conjecture

Goldbach's conjecture http://bn.wikipedia.org/wiki/%E0%A6%97%E0%A7%8B%E0%A6%B2%E0%A7%8D%E0%A6%A1%E0%A6%AC%E0%A6%BE%E0%A6%96_%E0%A6%85%E0%A6%A8%E0%A7%81%E0%A6%AE%E0%A6%BE%E0%A6%A8 Catal  Česky Goldbach's conjecture http://bn.wikipedia.org/wiki/%E0%A6%97%E0%A7%8B%E0%A6%B2%E0%A7%8D%E0%A6%A1%E0%A6%AC%E0%A6%BE%E0%A6%96_%E0%A6%85%E0%A6%A8%E0%A7%81%E0%A6%AE%E0%A6%BE%E0%A6%A8 Catal  Česky ... GNU Free Documentation License

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9. Goldbach's Conjecture - Biocrawler Goldbach s_conjecture. Wikipedia (http//en.wikipedia.org/wiki/Main_Page) Goldbach s_conjecture (http//en.wikipedia.org/wiki/Goldbach s_conjecture) http://www.biocrawler.com/encyclopedia/Goldbach's_conjecture

Inline videos See also: Category: Articles with embedded Videos. Goldbach's conjecture From Biocrawler 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 showTocToggle("show","hide") 1 Origins 2 Heuristic justification 3 Rigorous results 4 Trivia ... edit Origins In , the Prussian mathematician Christian Goldbach wrote a letter to Leonhard Euler in which he proposed the following conjecture: Every integer greater than 2 can be written as the sum of three primes. He considered 1 to be a prime number , a convention subsequently abandoned. So today, Goldbach's original conjecture would be written: Every integer greater than 5 can be written as the sum of three primes. Euler, becoming interested in the problem, answered with an equivalent version of the conjecture: Every even number greater than 2 can be written as the sum of two primes. The former conjecture is today known as the "ternary" Goldbach conjecture, the latter as the "strong" Goldbach conjecture. The conjecture that all odd numbers greater than 9 are the sum of three odd primes is called the "weak" Goldbach conjecture. Both questions have remained unsolved ever since, although the weak form of the conjecture is much closer to resolution than the strong one.

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Goldbach's Conjecture Enter your search terms Submit search form Mirrors Mirror 1 Mirror 2 Mirror 3 Mirror 4 ... Mirror 9 Goldbach's conjecture is one of the oldest unsolved problems in number theory and in all of mathematics . It states: Every even integer greater than 2 can be written 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, In other words, the Goldbach conjecture states that every even number greater than or equal to four is a Goldbach number , a number that can be expressed as the sum of two primes. See also Levy's conjecture An illustration of Goldbach's conjecture. Contents Origins Heuristic justification Rigorous results Attempted proofs ... edit Origins On 7 June , the Prussian mathematician Christian Goldbach wrote a letter to Leonhard Euler (letter XLIII) in which he proposed the following conjecture: Every integer greater than 2 can be written as the sum of three primes. He considered 1 to be a prime number , a convention subsequently abandoned. A modern version of Goldbach's original conjecture is: Every integer greater than 5 can be written as the sum of three primes Euler, becoming interested in the problem, replied by noting that this conjecture is equivalent with another version:

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19. PredicateLogic - PineWiki x (Even(x) x 2) ( p q Prime(p) Prime(q) x = p+q). Note the truth value of this statement is currently unknown. See Goldbach s_conjecture http://pine.cs.yale.edu/pinewiki/PredicateLogic

PineWiki Search: Login PredicateLogic FrontPage FindPage ... PredicateLogic Immutable Page Comments Info Attachments More Actions: Raw Text Print View Render as Docbook Delete Cache Check Spelling Like Pages Local Site Map Rename Page Copy Page Delete Page My Pages Subscribe User Remove Spam Revert to this revision Package Pages Sync Pages Load Save Using only PropositionalLogic , we can express a simple version of a famous argument: Socrates is a man. If Socrates is a man, then Socrates is mortal. Therefore, Socrates is mortal. This is an application of the inference rule (see InferenceRules ) called modus ponens , which says that from p and p ⇒ q you can deduce q. The first two statements are axioms (meaning we are given them as true without proof), and the last is the conclusion of the argument. What if we encounter Socrates's infinitely more logical cousin Spocrates? We'd like to argue Spocrates is a man. If Spocrates is a man, then Spocrates is mortal. Therefore, Spocrates is mortal. Unfortunately, the second step depends on knowing that humanity implies mortality for everybody, not just Socrates. If we are unlucky in our choice of axioms, we may not know this. What we would like is a general way to say that humanity implies mortality for everybody, but with just PropositionalLogic , we can't write this fact down.

20. گزاره ای که تا کنون هیچ Ø http//mathworld.wolfram.com/GoldbachConjecture.html http//en.wikipedia. org/wiki/Goldbach s_conjecture. pp8khat. 0812-2007, 0749 PM. http://www.p30world.com/forum/archive/index.php/t-151247.html dir=rtl

P30World Forums PDA View Full Version : 08-12-2007, 12:48 PM mir@ 08-12-2007, 02:20 PM Goldbach Conjecture http://mathworld.wolfram.com/GoldbachConjecture.html http://en.wikipedia.org/wiki/Goldbach's_conjecture 08-12-2007, 06:49 PM Goldbach Conjecture http://mathworld.wolfram.com/GoldbachConjecture.html http://en.wikipedia.org/wiki/Goldbach's_conjecture SuB 09-05-2007, 08:19 PM Pouriaqazvin 09-09-2007, 10:29 AM SuB 09-12-2007, 08:03 PM pinokio 10-04-2007, 06:57 PM Goldbakh's geust حدس گلدباخ: هر عدد صحيح زوج بزرگتر از 2 را ٠ي توان به صورت ٠ج٠وع دو عدد اول نوشت.در سال 1742 گلدباخ طي نا٠ه اي به اويلر ٠ي نويسد: " به نظر ٠ي رسد که هر دو عدد زوج بزرگتر از 2 را بتوان به صورت ٠ج٠وع دو عدد اول نوشت." اين ادعاي گلدباخ به حدس گلدباخ شهرت يافت و در اين دو ني٠قرن اخير پايه و ٠وضوع تحقيقات گسترده اي شده است.هاروي رياضيدان برجسته انگليسي تصريح ٠ي کند که حدس گلدباخ يکي از دشوارترين ٠سائل حل نشده رياضيات است. ٠حاسبات عددي درستي اين حدس را نشان ٠ي دهند كه به طرق ٠تعددي ٠ي توان اعداد زوج را به صورت ٠ج٠وع دو عدد اول نوشت. در سال 1973 چن نشان داد که اعداد زوج به اندازه کافي بزرگ را ٠ي توان به صورت p+m نوشت كه در آن p عددي اول و m عددي اول يا حاصل ضرب دو عدد اول است. گلدباخ حدس زد كه هر عدد فرد بزرگتر از 7 را ٠ي توان به صورت ٠ج٠وع سه عدد اول نوشت.هر چند كه اين ٠ساله هنوز باز است ا٠ا وينوگراف در سال 1937 نشان داد كه ه٠ه اعداد فرد ٠ثبت بزرگتر از3 به توان 315 را ٠ي توان به صورت ٠ج٠وع سه عدد اول نوشت. ا٠ا از لحاظ تئوري نتايج بايد روي ه٠ه اعداد فرد ٠ثبت ٠ورد بررسي قرار گيرد.

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