A prime gap of length n is a run of n - 1 consecutive composite numbers between two successive primes. Therefore, the difference between two successive primes p_k and p_(k + 1) bounding a prime gap of length n is p_(k + 1) - p_k = n, where p_k is the kth prime number. Since the prime difference function d_k congruent p_(k + 1) - p_k
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