All nontrivial zeros of the Riemann zeta function have real part 1/2.
Status is community- and machine-tracked and may lag. Verify independently before investing effort.
Statement
Every nontrivial zero of $\zeta(s)$ lies on the critical line $\mathrm{Re}(s) = \tfrac12$.
Assessment
Renown 5/5
The most famous open problem in mathematics; $1M Millennium Prize.
Attackability 1/5
A counterexample zero would be numerically certifiable, but 10^13 zeros have been verified on the line and every heuristic points to truth; listed as a trophy, not a target.
- finite witness
- 3/5
- oracle cost
- 3/5
- freshness
- 0/5
- seedability
- 1/5
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.