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    Good Prime

    Definition

    A prime p_n is called "good" if p_n^2>p_(n - i) p_(n + i) for all 1<=i<=n - 1 (there is a typo in Guy 1994 in which the i s are replaced by 1s). There are infinitely many good primes, and the first few are 5, 11, 17, 29, 37, 41, 53, ... (OEIS A028388).