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Erdős problem / erdos

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Problem 172

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  1. vf_6e10da14330a6bae

    theoretical

    Erdős Problem #172: declared status 'open'. Formalized: yes. Is it true that in any finite colouring of N\mathbb{N} there exist arbitrarily large finite AA such that all sums and products of distinct elements in AA are the same colour? Prize: no. Tags: additive combinatorics, ramsey theory.

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