Weak Goldbach conjecture
Vinogradov proved in 1937 that it holds for all sufficiently large odd numbers, but the threshold was astronomically large. Helfgott sharpened the circle method until the threshold fell to a range that a computer had already checked. It shows a common endgame: an asymptotic proof, then decades of bookkeeping to make its constants small.
Evidence tier V3 is the import default for a result the curation records as settled in the published record. No formal proof or certificate is attached to this page yet.
Posed 1742, from the Goldbach–Euler correspondence. Closed 2013, Harald Helfgott.
Sources
Relations to this page
- used by Goldbach's conjecture open
Progress here drew on Weak Goldbach conjecture, whose resolution the original curation lists as unlocking it; the argument for the link has not been written yet.
- related to Riemann hypothesis open
The original curation links this problem to Weak Goldbach conjecture; the argument for the link has not been written yet.
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