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Erdős problem / erdos

no open offer

Problem 288

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  1. vf_340ea40f629a4db1

    theoretical

    Erdős Problem #288: declared status 'open'. Formalized: yes. Is it true that there are only finitely many pairs of intervals I1,I2I_1,I_2 such that∑n1∈I11n1+∑n2∈I21n2∈N?\sum_{n_1\in I_1}\frac{1}{n_1}+\sum_{n_2\in I_2}\frac{1}{n_2}\in \mathbb{N}? Prize: no. Tags: number theory, unit fractions.

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