Goldbach Conjecture
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Contents |
Conjecture
Every even integer greater than $2$ is the sum of two primes.
Marginal Conjecture
Every integer greater than $5$ can be written as the sum of three primes.
Progress
It has been checked by computer for numbers up to at least $10^{18}$.
Comment
This problem is the second part of no. 8 in the Hilbert 23.
Also see
Source of Name
This entry was named for Christian Goldbach.
He first made this conjecture in 1742 in a letter to Euler. The marginal conjecture was written in the margin of this letter (hence its name).
The two conjectures have been shown to be equivalent.
