|Title: What to expect when you're unexpecting: The distribution of consecutive prime biases|
|Speaker: Robert Lemke Oliver of Tufts University|
|Contact: David Zureick-Brown, firstname.lastname@example.org|
|Date: 2017-01-10 at 5:00PM|
In recent work with Soundararajan, we conjectured that the are large biases in the distribution of consecutive primes in arithmetic progressions to a fixed modulus. Here, we review this conjecture, and we discuss the distribution of the terms involved. This proves to be surprisingly subtle and connected to classical problems in analytic number theory.
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