Robert Lemke Oliver

Affiliation: Stanford University


Title Of Talk: Consecutive primes modulo $q$

Abstract: The primes are well-known to be equidistributed among the admissible residue classes modulo any integer $q\geq 3$. Here, we consider the distribution of consecutive primes modulo $q$, and we find considerable deviation from the natural prediction. We offer a conjectural explanation for this deviation, and we provide a conditional proof of this conjecture. This is joint work with Kannan Soundararajan.

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