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Goldbach's conjecture
Even integers as sums of two primes / From Wikipedia, the free encyclopedia
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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.
Quick Facts Field, Conjectured by ...
![]() 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 |
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The conjecture has been shown to hold for all integers less than 4×1018 but remains unproven despite considerable effort.