The board / additive combinatorics / #876
Erdős Problem #876
OPENdatabase updated 2025-08-31
No proof or disproof is known, and it isn't known whether a finite computation could settle it.
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Prizenone
Topicsadditive combinatorics
Statement in Leannot yet
Solution in Leanno
Original pageerdosproblems.com/876
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The live page is marked OPEN but lists 1 partial claimed proof (Liam Price using GPT-5.6 Sol Pro, submitted 2026-07-18) asserting that every infinite sum-free sequence satisfies \(\limsup_{n\to\infty}
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