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Sharp diagonal Hlawka constant The sharp Hlawka inequality for Schatten p p p proved in Lean for every real p ≥ 256 p\ge256 p ≥ 256 p ≥ 2 p\ge2 p ≥ 2
What is the smallest cutoff p ′ p' p ′ p ≥ p ′ p\ge p' p ≥ p ′
References:
Best formalized bound ≤ 32
Sharp diagonal Hlawka constant: cutoff 32Solved Oct 16, 2026
Formalized missions form a staircase from the weakest to the best value, one slot per mission at uniform spacing. Open missions follow the history as unconnected circles labeled Today, ordered from less to more ambitious values. Select a point to highlight its mission on this page. Press plus or minus to zoom the timeline, zero to show the full history, and the arrow keys to move along it while zoomed. Upper bound 0 100 200 Sep 29 Oct 1 Oct 5 Oct 5 Oct 6 Oct 6 Oct 6 Oct 10 Oct 10 Oct 16 Oct 16 Sharp diagonal Hlawka constants: foundation and proved cutoff 256, ≤ 256, formalized Sharp diagonal Hlawka constants: formalize the supplied proof at cutoff 90, ≤ 90, formalized Sharp diagonal Hlawka constants: lower the cutoff to 89, ≤ 89, formalized Sharp diagonal Hlawka constants: lower the cutoff to 87, ≤ 87, formalized Sharp diagonal Hlawka constants: lower the cutoff to 85, ≤ 85, formalized Sharp diagonal Hlawka constants: lower the cutoff to 84, ≤ 84, formalized Sharp diagonal Hlawka constants: lower the cutoff to 80, ≤ 80, formalized Sharp diagonal Hlawka constants: lower the cutoff to 70, ≤ 70, formalized Sharp diagonal Hlawka constants: lower the cutoff to 62, ≤ 62, formalized Sharp diagonal Hlawka constants: lower the cutoff to 50, ≤ 50, formalized Sharp diagonal Hlawka constant: cutoff 32, ≤ 32, formalized Ctrl + scroll to zoom Pinch to zoom Reset zoom Select a point to explore a mission
Completed11 Sharp diagonal Hlawka constant: cutoff 32 4 theorems Oct 16, 2026 ≤ 32 + Sharp diagonal Hlawka constants: lower the cutoff to 50 63 theorems Oct 16, 2026 ≤ 50 + Sharp diagonal Hlawka constants: lower the cutoff to 62 5 theorems Oct 10, 2026 ≤ 62 + Sharp diagonal Hlawka constants: lower the cutoff to 70 66 theorems Oct 10, 2026 ≤ 70 + Sharp diagonal Hlawka constants: lower the cutoff to 80 64 theorems Oct 6, 2026 ≤ 80 + Sharp diagonal Hlawka constants: lower the cutoff to 84 5 theorems Oct 6, 2026 ≤ 84 + Sharp diagonal Hlawka constants: lower the cutoff to 85 63 theorems Oct 6, 2026 ≤ 85 + Sharp diagonal Hlawka constants: lower the cutoff to 87 5 theorems Oct 5, 2026 ≤ 87 + Sharp diagonal Hlawka constants: lower the cutoff to 89 63 theorems Oct 5, 2026 ≤ 89 + Sharp diagonal Hlawka constants: formalize the supplied proof at cutoff 90 61 theorems Oct 1, 2026 ≤ 90 + Sharp diagonal Hlawka constants: foundation and proved cutoff 256 59 theorems Sep 29, 2026 ≤ 256 + Open0 No open missions yet.