There are infinitely many primes p such that p + 2 is also prime.
Status is community- and machine-tracked and may lag. Verify independently before investing effort.
Statement
There exist infinitely many primes $p$ with $p+2$ prime.
Assessment
Renown 5/5
Iconic; Zhang-Maynard-Polymath brought the proven gap to 246.
Attackability 0/5
An infinitude claim has no finite counterexample witness at all; pure trophy.
- finite witness
- 0/5
- oracle cost
- 0/5
- 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.