On Goldbach numbers in short intervals

Chirre A.; Hagen M.V. · Research in Number Theory (2026) · DOI: 10.1007/s40993-026-00767-6

Resumen

Assuming the Riemann Hypothesis, we prove that for all x⩾2, there exists at least one even integer within the interval (x,x+123log2x], that can be expressed as the sum of two primes. This result is an improvement over the recent work of Cully-Hugill and Dudek, who obtained the constant 9696 instead of 123. © The Author(s) 2026.

Instituciones: Pontificia Universidad Católica del Perú