The board / graph theory / #1066
Erdős Problem #1066
OPENdatabase updated 2025-10-01
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, planar graphs
Statement in Leannot yet
Solution in Leanno
Original pageerdosproblems.com/1066
Attempts
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Live page status is OPEN with 0 claimed proofs, but “Currently working on this problem” lists Tomodovodoo (accessed 2026-07-29); the mandatory collision-avoidance rule requires stopping.
SKIPPED