MathDBErdős problem #608
Erdős problem #608
The sources identify Erdős problem as an extremal problem involving a claimed threshold of , but do not provide the underlying objects or define the extremal quantity precisely. The problem therefore cannot be stated more precisely from the supplied sources.
Progress summary
A formal check rules out one proposed construction, but does not solve the broader problem.
The broader Erdős problem remains open; the latest result concerns only a proposed construction.
August 2026 formal refutation
A formal development shows that the named construction falls below the claimed threshold , eliminating that route to the extremal bound. It does not settle Erdős problem .
Current status (as of August 2026): One proposed construction has been formally ruled out because it falls below ; Erdős problem remains open.
Sources
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