Kylie Wilde And Jessie James

Goldbach's conjecture - Presentation

E 'known to the mathematician Christian Goldbach left (in 1742) is an open problem in number theory, a problem faced primarily by Euler and later generations of mathematicians, problem now solved. The wording, and perhaps a sense, the conjecture is very simple and understandable to most people

every even number greater than 2 is the sum of two primes

That is, given any even number is always possible to determine (at least) a pair of primes such that their sum that would lead to an even number of departure. Although not yet produced a proof of this fact, certainly in the last century there has been progress. Although on that 'ahead we would have to get some clarification.

In fact, the problem has never been addressed from a structural point of view, or at least, though never with partial results. A mathematical approach has been followed by the strictly statistical and probabilistic, which led to the conclusion that the conjecture is true , although not proven, based on the principle that the greater the even number in question, the more likely to find that the first two added together are equivalent to it . Combining this theorem (called of prime numbers, source wikipedia) the results of electronic computers, have come to probe the validity dell'asserto for all numbers up to values \u200b\u200bthat are important, as there is content on one side and is considered the conjecture, if proved, at least assimilated. On the other hand, in the course of this century, the emphasis was to turn around all'asserto Goldbach, attacking, and partly showing, seemingly related.

Examples include Vinogradov, who in 1937 proved that every odd number greater than 3 high 3-15 is elevated to a sum of three first, or even Chen, who in 1966 showed that every even number big enough or is the sum of two first or a first and a semiprime or a number consisting of only two primes.

Oliveira e Silva, with powerful computers, have verified the validity of the conjecture up to 1,200,000,000,000,000,000 (results as at March 2008).

And then?

The question we ask is whether the attitude of mathematicians who deal with the problem is perhaps made a silent before it. How can the streets followed are now checking with the computer to ever larger numbers, the study of the problem on probabilistic bases, while making these numbers large enough or worse, the deviation of the problem on other related but that in mock do not really have anything to do with Goldbach's conjecture? It 's the sign that, unlike Fermat's Last Theorem, it'll be really hidden in the great book, without ever leaving?