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For questions about Goldbach's conjecture: every even integer greater than two is the sum of two primes.

The Goldbach conjecture originates from a $1742$ letter from Goldbach to Euler, states that every even integer greater than $3$ is the sum of two primes. The conjecture has been shown to hold for all integers less than $4 × 10^{18}$, but remains unproven despite considerable effort.

Goldbach's weak conjecture is that every odd integer greater than $6$ is the sum of three primes.