Rice University Department of Mathematics Colloquium

Unexpected Biases in the distribution of consecutive primes

4:00 pm Thursday, April 6th, 2017
Kannan Soundararajan (Stanford)

Abstract: In joint work with Robert Lemke Oliver, we discovered a curious phenomenon about consecutive primes: the remainders of consecutive primes modulo q do not like to be the same. I'll show striking numerical results exhibiting this phenomenon, and give a conjectural explanation which matches the data very well.

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