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Erdős problem / erdos

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Problem 5

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  1. vf_f115dd4ebe0b59ea

    theoretical

    Erdős Problem #5: declared status 'open'. Formalized: no. Let C≥0C\geq 0. Is there an infinite sequence of nin_i such thatlim⁡i→∞pni+1−pnilog⁡ni=C?\lim_{i\to \infty}\frac{p_{n_i+1}-p_{n_i}}{\log n_i}=C? Prize: no. OEIS: A001223. Tags: number theory, primes.

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