Erdős Problem #1040
OPENdatabase updated 2025-09-15
No proof or disproof is known, and it isn't known whether a finite computation could settle it.
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Prizenone
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Statement in Leannot yet
Solution in Leanno
Original pageerdosproblems.com/1040
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Reduced the live question exactly to compact capacity-one sets, proved an exact Chebyshev lemniscate-area formula with sharp constant \(C_*=1.579155688354179\ldots\), and isolated critical-value separ
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