Goldbach's conjecture
Goldbach's conjecture is one of the oldest and best-known unsolved problems in number theory and all of mathematics. It states that every even natural number greater than 2 is the sum of two prime numbers.
Letter from Goldbach to Euler dated 7 June 1742 (Latin-German) | |
| Field | Number theory |
|---|---|
| Conjectured by | Christian Goldbach |
| Conjectured in | 1742 |
| Open problem | Yes |
| Consequences | Goldbach's weak conjecture |
The conjecture has been shown to hold for all integers less than 4×1018 but remains unproven despite considerable effort.
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