Goldbach’s conjecture

The conjecture states that every even integer $n>2$ 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 a generalized Riemann hypothesis, every odd number $n>5$ 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.

单词	GoldbachsConjecture
释义	Goldbach’s conjecture The conjecture states that every even integer $n>2$ 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 a generalized Riemann hypothesis, every odd number $n>5$ 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.
随便看	complete quadrilateral CompleteRingOfQuotients complete ring of quotients CompleteRingOfQuotientsOfReducedCommutativeRings complete ring of quotients of reduced commutative rings CompleteSemilattice complete semilattice CompleteSetOfPrimitiveOrthogonalIdempotents complete set of primitive orthogonal idempotents CompleteUltrafilterAndPartitions complete ultrafilter and partitions CompleteUltrametricField complete ultrametric field CompleteUniformSpace complete uniform space CompletingTheSquare completing the square Completion completion CompletionOfAMeasureSpace completion of a measure space Complex complex ComplexAnalyticManifold complex analytic manifold