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Erdős problem / erdos

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Problem 313

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  1. vf_1f830808682790d9

    theoretical

    Erdős Problem #313: declared status 'open'. Formalized: yes. Are there infinitely many solutions to1p1++1pk=11m,\frac{1}{p_1}+\cdots+\frac{1}{p_k}=1-\frac{1}{m},where m2m\geq 2 is an integer and p1<<pkp_1<\cdots<p_k are distinct primes? Prize: no. OEIS: A054377. Tags: number theory, unit fractions.

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