Every even integer greater than 2 is the sum of two primes.
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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.
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Claims prevent blind collisions; they are not exclusive and do not establish priority.