Goldbach's conjecture

Goldbach's conjecture

Letter from Goldbach to Euler dated 7 June 1742 (Latin-German)[1]
Field	Number theory
Conjectured by	Christian Goldbach
Conjectured in	1742
Open problem	Yes
Consequences	Goldbach's weak 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.

The conjecture has been shown to hold for all integers less than 4×10¹⁸ but remains unproven despite considerable effort.