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Topic: Goldbachs conjecture


In the News (Sat 11 Oct 08)

  
  Goldbach's conjecture
Goldbach's Conjecture is one of the oldest unsolved problems in number theory and in all of mathematics.
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.
Goldbach made two related conjectures about sums of primes, the 'strong' Goldbach conjecture and the 'weak' Goldbach conjecture.
www.ebroadcast.com.au /lookup/encyclopedia/go/Goldbachs_conjecture.html   (379 words)

  
 Goldbachs Conjecture at Online Search   (Site not responding. Last check: 2007-09-15)
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goldbachs-conjecture.financedata.info   (367 words)

  
 Prime Conjectures and Open Question
Goldbach's Conjecture: Every even n > 2 is the sum of two primes.
Ramaré95] (Goldbach's conjecture suggests two) and in 1966 Chen proved every sufficiently large even integers is the sum of a prime plus a number with no more than two prime factors (a P
Goldbach conjecture also showed that every even number is the difference between a prime and a P
www.utm.edu /research/primes/notes/conjectures   (566 words)

  
 The Prime Glossary: Goldbach's conjecture
Goldbach wrote a letter to Euler dated June 7, 1742 suggesting (roughly) that every even integer is the sum of two integers p and q where each of p and q are either one or odd primes.
Goldbach's conjecture: Every even integer n greater than two is the sum of two primes.
When verifying the Goldbach conjecture for n we quickly see that it is very easy to find many primes which add to n.
www.utm.edu /research/primes/glossary/GoldbachConjecture.html   (681 words)

  
 goldbach's conjecture
Christian Goldbach was born in March 1690 in Königsberg, Prussia (now Kaliningrad, Russia), and died in 1764 in Moscow, Russia.
When he was 35 Goldbach became a professor of mathematics and a historian at St.
This conjecture is equivalent to saying that every integer greater than 5 is the sum of three primes.
www.mathsisgoodforyou.com /conjecturestheorems/goldbachs.htm   (370 words)

  
 Phentermine - Goldbachs conjecture   (Site not responding. Last check: 2007-09-15)
In mathematics, Goldbach's oldest is one of the conjecture Unsolved In Problems Mathematics S In Theory Number All In And Of Mathematics.
The conjecture that all odd numbers greater than 9 are the sum of three odd primes is called the "weaƙ" Goldbach conjecture.
The strong Goldbach conjecture is in fact very similar to the twin prime conjecture, and the two conjectures are believed to be of roughly comparable difficulty.
pda-hp.info /9832   (1736 words)

  
 Conjecture
Among conjecture other things, they conjectured grl that conjecture such conjecture a conjecture finite conjecture number theory conjecture was infinitely conjecture rich.
Conjecture earl taft from the conjecture department of mathematics periodicals and various workstations.
Conjecture for conjecture example, it conjecture is conjecture better conjecture that the odd goldbach because, conjecture mathematically.
conjecture.loveph.net   (641 words)

  
 Goldbach's conjecture   (Site not responding. Last check: 2007-09-15)
Goldbach's conjecture is one of the topics in focus at Global Oneness.
Other famous conjectures include: There are no odd perfect numbers Goldbach's conjecture The twin prime conjecture The Collatz conjecture The Riemann hypothesis P ≠ NP The Poinca...
The twin prime conjecture is a famous problem in number theory that involves prime numbers.
www.experiencefestival.com /goldbachs_conjecture   (933 words)

  
 Gresham College | Transcript
In December 1729, he received a letter from his colleague Christian Goldbach, who is best remembered for the Goldbach conjecture involving prime numbers numbers with no proper factors, such 11 and 13, but not 15 which has the factors 3 and 5.
Goldbachs conjecture is that every even number can be written as the sum of two prime numbers for example, 10 = 5 + 5, 20 = 13 + 7, 30 = 19 + 11, and so on.
Goldbach wrote to Euler about the so-called Fermat primes of the form (2 to the power 2n) + 1: for example, for n = 0, 1, 2, 3 and 4 we get the prime numbers 3, 5, 17, 257 and 65537.
www.gresham.ac.uk /printtranscript.asp?EventId=67   (3517 words)

  
 Goldbach conjecture verification   (Site not responding. Last check: 2007-09-15)
The Goldbach conjecture is one of the oldest unsolved problems in number theory [1, problem C1].
In their famous memoir [2, conjecture A], Hardy and Littlewood conjectured that when n tends to infinity, R(n) tends asymptotically to (i.e., the ratio of the two functions tends to one)
In order to verify the Goldbach conjecture for a given n, it is sufficient to find one of its Goldbach partitions.
www.ieeta.pt /~tos/goldbach.html   (1292 words)

  
 Conjecture geometry
That is a number as follows goldbachs conjecture geometry conjecture conjecture geometry before goldbach was.
Conjecture geometry among the replies were two of the beal discovery of the goldbach conjecture.
Conjecture geometry there is little doubt that was conjecture geometry not able to the english.
conjecture.loveph.net /conjecture-geometry.html   (1353 words)

  
 Lets make an experiment
The fascinating thing in the Goldbachs conjecture is that it is so simple that anyone who completed primary school can understand it and yet it is unknown if it is true or not: It is possible that it is true but it is not provable in principle.
Assume that such an even number violating the Goldbach’s conjecture exists (Lets call it Goldbachs number) and that this number is greater then the largest number in the universe as defined above.
The people who don’t accept the independent reality of mathematics would say Goldbach’s conjecture is true because there is not any physically meaningful natural number in our universe that violates it.
physics-qa.com /html/kitqmr3.htm   (2285 words)

  
 Goldbach Conjecture -- from Wolfram MathWorld
Goldbach's original conjecture (sometimes called the "ternary" Goldbach conjecture), written in a June 7, 1742 letter to
Note that here Goldbach considered the number 1 to be a prime, a convention that is no longer followed.
Pogorzelski (1977) claimed to have proven the Goldbach conjecture, but his proof is not generally accepted (Shanks 1993).
mathworld.wolfram.com /GoldbachConjecture.html   (962 words)

  
 mathematicians: why do you care? - GameDev.Net Discussion Forums   (Site not responding. Last check: 2007-09-15)
Just a thought though; proving Goldbachs Conjecture would probably require a means of mathematically describing a relationship between arbitrary prime numbers such that you can prove that any three numbers will result in a specific number.
If the conjecture were proved, then we'd be every so slightly closer to understanding life, the universe, and everything.
I've heard suspicions that the conjecture may be independent of Peano arithmetic, and that would definitely be an interesting discovery, though I doubt it is the case.
www.gamedev.net /community/forums/viewreply.asp?ID=1917246   (2203 words)

  
 Math Forum Discussions
Here are some different interpretations of Goldbach's Conjecture.
conjecture (yes, the names are of my own creation).
By the Goldbach Conjecture, if row A is ANDed with row B, the result
mathforum.org /kb/thread.jspa?threadID=59359&messageID=236460   (474 words)

  
 Goldbach Conjecture - c, c++, c__
This program will prove by exaustive search that Goldbach's conjecture is true for all even integers between 2 and 100.
Goldbach's conjecture states that all even integers greater than 2 can be written as the sum of exactly two primes.
Goldbach's conjecture"<even integers greater than 2 can be written as the sum"<
www.planetsourcecode.com /vb/scripts/ShowCode.asp?txtCodeId=6996&lngWId=3   (474 words)

  
 Goldbachs weak conjecture   (Site not responding. Last check: 2007-09-15)
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With access to an huge supply of information, data and content, visitor are deluged with report on goldbachs weak conjecture but have no time to read through it.
www.rtqn.org /goldbachs-weak-conjecture.html   (555 words)

  
 Reference/Data and constants resources - PhysicsWeb
A Statment of Feynmans conjecture in the form of a quotation from one of his books.
The Solution and validation of his conjecture involves defining an integer dependent generalization of pi which is shown to be related to alpha, the fine structure constant.
Beyond the realm of fuel cells and hydrogen is the non-conventional world of "future energy." Some of the best examples are new and exciting generators that release trapped potential energy from nature in ways never dreamed of before.
physicsweb.org /resources/Reference/Data_and_constants   (1801 words)

  
 Uncle Petros and Goldbach's Conjecture | Funny UK Comedy
You've probably gathered from the other reviews that this novel involves mathematics, and specifically Goldbach's Conjecture: that every prime number can be represented as two odd numbers added together - a theory that has yet to be conclusively proven or disproved.
Even if this sort of thing usually bores you, it's worth trying this book, because the underlying themes are not so much mathematics as how one spends one's life, what constitutes success or failure, and whether knowledge is worth pursuing for its own sake or just a means to an end.
After much prying he discovers that Petros, once a very promising mathematician, has devoted his life to the seemingly impossible task of proving Goldbach's Conjecture, to the exclusion of almost everything and everyone else.
www.funny.co.uk /comedy/prod_0-0571205119-Uncle-Petros-and-Goldbachs-Conjecture.html   (837 words)

  
 sci.crypt: Re: Proving primality of an integer
In general only if AKS Conjecture 4 is true.
conjecture 4 would proven false and "primes" proven by it would
Other way is to prove Conjecture 4 true and make of it a theorem.
www.derkeiler.com /Newsgroups/sci.crypt/2003-02/2225.html   (387 words)

  
 How to Build a Quantifier Machine   (Site not responding. Last check: 2007-09-15)
There is a class of undecidable problems which even the LQM cannot help us with; these are characterised by mixed existential and universal quantifiers which both range over infinite domains.
Goldbachs's Conjecture (first formulated in 1746 by the Prussian mathematician Goldbach) states that every even number > 2 is the sum of two primes.
So it captures Goldbach's Conjecture and it uses dependent domains and it is amazingly compact.
www.lambdassociates.org /studies/study04.htm   (2768 words)

  
 Amazon.com: Uncle Petros and Goldbach's Conjecture: Books: Apostolos Doxiadis   (Site not responding. Last check: 2007-09-15)
The narrator soon learns that this problem, called Goldbach's Conjecture, is more than 200 years old and has remained famously unsolved.
Uncle Petros, Goldbach's Conjecture, Number Theory, Incompleteness Theorem, Petros Papachristos, Riemann Hypothesis, Uncle Anargyros, Formal Logic, School of Mathematics, Fermat's Last Theorem, Leonard Euler, Professor Papachristos, Herr Professor, Sammy Epstein, Hellenic Mathematical Society, Professor of Analysis, Riemann Zeta Function, Alan Turing, Christian Goldbach, Complex Analysis, Srinivasa Ramanujan, University of Munich, David Hilbert, United States
The book details the uncle's life-long struggle to solve Goldbach's Conjecture, which (for you non-mathemeticians, like me) posits that every even number greater than two is the sum of two primes.
www.amazon.com /Petros-Goldbachs-Conjecture-Apostolos-Doxiadis/dp/1582341281   (1787 words)

  
 Uncle Petros and Goldbach's Conjecture - Apostolos Doxiadis - Printed Books Shopping at dooyoo.co.uk   (Site not responding. Last check: 2007-09-15)
Uncle Petros and Goldbach's Conjecture - Apostolos Doxiadis
One man dedicates his life to solving a mathematical conjecture that has baffled the greatest mathematical minds.
I'll be darned for all eternity if I know why you'd want to read both though: they both make the same points about dedication, goals, and intellect, and that one is truth and one is fiction is neither here nor there as the truth of Singh's work might as well be fiction to most people.
www.dooyoo.co.uk /printed-books/uncle-petros-and-goldbachs-conjecture-apostolos-doxiadis   (302 words)

  
 WillBuckingham.com: Uncle Petros and Goldbach's Conjecture.   (Site not responding. Last check: 2007-09-15)
He signs the agreement never to become a mathematician.
What he doesn’t yet know is that what his uncle has asked him to prove is Goldbach’s conjecture, one of the biggest unsolved problems in mathematics.
From this beginning, Doxiadis spins a story of considerable charm and lightness, but one that remains utterly compelling.
www.willbuckingham.com /Writing/uncle-petros-and-goldbachs-conjecture   (391 words)

  
 Climb to the Stars (Stephanie Booth) » Goldbach’s Conjecture   (Site not responding. Last check: 2007-09-15)
Goldbach’s Conjecture says that each even number is the sum of two primes.
The only problem is that up till now, nobody has managed to prove or disprove it.
Bad Behavior has blocked 7588 access attempts in the last 7 days.
climbtothestars.org /archives/2000/11/24/goldbachs-conjecture   (277 words)

  
 Count On   (Site not responding. Last check: 2007-09-15)
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 Goldbach concentrated just on even numbers and asked the question:
www.mathsyear2000.org /explorer/primes/goldbachs-conjecture   (397 words)

  
 Miscellany Mathematics Science Fair Projects & Experiments
Observe the occurrences of Fibonacci numbers, sequences, the Fibonacci ratio, and the Fibonacci spiral in nature.
Develope a circle map that represents the Collatz transformation and investigates its properties to make progress in proving the Collatz conjecture.
Find out if there is a number that will disprove Goldbachs Conjecture R
www.juliantrubin.com /fairprojects/mathematics/miscellany.html   (285 words)

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