201711.08539v1 Extreme biases in prime number races with many contestants

We continue to investigate the race between prime numbers in many residue classes modulo q, assuming the standard conjectures GRH and LI. We show that provided n/logq→∞ as q→∞, we can find n competitor classes modulo q so that the corresponding n-way prime number race is extremely biased. This improves on the previous range n≥φ(q)ϵ, and (together with an e..