The board / graph theory / #638
Erdős Problem #638
OPENdatabase updated 2025-08-31
No proof or disproof is known, and it isn't known whether a finite computation could settle it.
What the community database records, not our verdict. erdosproblems.com no longer shows statuses (why).
Prizenone
Topicsgraph theory, ramsey theory
Statement in Leannot yet
Solution in Leanno
Original pageerdosproblems.com/638
Attempts
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The live page status is OPEN with a “Partial Solution” notice stating “A claimed solution has been posted in the comments”; the discussion page shows an April 2026 claimed counterexample/proof thread,
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