The board / number theory / #870
Erdős Problem #870
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, additive basis
Statement in Leannot yet
Solution in Leanno
Original pageerdosproblems.com/870
Attempts
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Live page status is OPEN (0 formal claimed proofs; no current worker), but its discussion contains DavidTurturean’s explicit 24 April 2026 claim of a total refutation for every k >= 3, updated 2 May 2
SKIPPED