In March 2009, I gave a short lecture on prime numbers for the participants of the Swiss Mathematical Olympiad. The corresponding slides are in French..
Chebyshev was the first to observe a bias in the distribution of primes in residue classes. The general phenomenon is that if a is a nonsquare\mod q ..
We continue to investigate the race between prime numbers in many residue classes modulo q, assuming the standard conjectures GRH and LI. <br/>We show ..
In this lecture celebrating the 150th anniversary of the seminal paper of Riemann, we discuss various approaches to interesting questions concerning the dist..