Jared Duker Lichtman — 23% Beyond the Riemann Hypothesis
Stanford mathematician Jared Duker Lichtman has proven a new world record for the distribution of primes in arithmetic progressions, for moduli up to 23% larger than what is implied by the (Generalized) Riemann Hypothesis. This breaks the prior world record of 20% beyond the Riemann Hypothesis, established by Fields Medallist James Maynard.
Lichtman’s result also implies new bounds for Goldbach representations of an even integer N — that is, counting the ways to write N as a sum of two primes N = p + p’. This leads to the greatest improvement on the Goldbach problem since 1966.
The preprint can be found here.