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Problem 539

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  1. vf_7aaa841ef6110a54

    theoretical

    Erdős Problem #539: declared status 'open'. Formalized: yes. Let h(n)h(n) be such that, for any set A⊆NA\subseteq \mathbb{N} of size nn, the set{a(a,b):a,b∈A}\left\{ \frac{a}{(a,b)}: a,b\in A\right\}has size at least h(n)h(n). Estimate h(n)h(n). Prize: no. Tags: number theory.

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