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.
| Title | Goldbach’s conjecture |
|---|---|
| Canonical name | GoldbachsConjecture |
| Date of creation | 2013-03-22 12:13:43 |
| Last modified on | 2013-03-22 12:13:43 |
| Owner | drini (3) |
| Last modified by | drini (3) |
| Numerical id | 11 |
| Author | drini (3) |
| Entry type | Conjecture |
| Classification | msc 11P32 |
| Classification | msc 11-00 |
| Related topic | Prime |