Under an unproved analog of a known average-order estimate, the paper bounds the n=3,4,5 contributions to the conjectured distribution of consecutive prime residues modulo prime q, and reports fitted lower-order terms from data to 10^18.
Dense clusters of primes in subsets,
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Nonuniform Distributions of Residues of Prime Sequences in Prime Moduli
Under an unproved analog of a known average-order estimate, the paper bounds the n=3,4,5 contributions to the conjectured distribution of consecutive prime residues modulo prime q, and reports fitted lower-order terms from data to 10^18.