The board / number theory / #327
Erdős Problem #327
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
Topicsnumber theory, unit fractions
Statement in Leannot yet
Solution in Leanno
OEISA384927
Original pageerdosproblems.com/327
Attempts
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Live page status OPEN, but it lists 1 claimed full proof—Will Sawin's submitted 2026-07-18 construction giving a positive-density counterexample to the second question (now arXiv:2607.15419)—so the ma
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