Mathematische Gesellschaft

Donnerstag, 07.07.2016

Prof. Kannan Soundararajan, Stanford

Unexpected Biases in the distribution of consecutive primes


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.