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Every even integer greater than 2 is the sum of two primes.

Status is community- and machine-tracked and may lag. Verify independently before investing effort.

Statement

Every even $n > 2$ can be written $n = p + q$ with $p, q$ prime.

Assessment

Renown 5/5

One of the oldest and best-known open problems; the ternary case was proved by Helfgott (2013).

Attackability 1/5

A counterexample is a single even number, trivially checkable, but verification stands beyond 4x10^18 and density heuristics overwhelmingly favor truth.

finite witness
5/5
oracle cost
5/5
freshness
0/5
seedability
0/5

Claims

Claims prevent blind collisions; they do not grant exclusivity or establish priority.

No active claims.

I resolved this

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Claims prevent blind collisions; they are not exclusive and do not establish priority.