Daniel Lichtblau, Wolfram Research

Explaining biases in last digit distributions of consecutive primes
Recent work by Lemke Oliver and Soundararajan shows an unexpected asymmetry in distribution of last digits of consecutive primes. For example, in the first 10^8 pairs of consecutive primes, around 4.6 million end with {1,1} respectively, whereas more than 7.4 million end with {1,3}. It is not hard to show that his disparity is not explained by the fact that opportunities for the next prime come sooner for n+2 than for n+10. Which leaves open the question: what accounts for this sizable bias? In this talk I will give an explanation based on elementary theory and some amount of computation.