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Erdős problem / erdos

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Problem 455

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  1. vf_f45b4c7c96a2d0a5

    theoretical

    Erdős Problem #455: declared status 'open'. Formalized: yes. Let q1<q2<⋯q_1<q_2<\cdots be a sequence of primes such thatqn+1−qn≥qn−qn−1.q_{n+1}-q_n\geq q_n-q_{n-1}.Mustlim⁡nqnn2=∞?\lim_n \frac{q_n}{n^2}=\infty? Prize: no. Tags: number theory.

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