On the Riemann hypothesis and the difference between primes
On the Riemann hypothesis and the difference between primes
We prove some results concerning the distribution of primes assuming the Riemann hypothesis. First, we prove the explicit result that there exists a prime in the interval [Formula: see text] for all x ≥ 2; this improves a result of Ramaré and Saouter. We then show that the constant 4/π …