I'd say the Riemann hypothesis is more famous. Goldbach's conjecture didn't make...

SAI_Peregrinus on June 6, 2022 | parent | context | favorite | on: Graduate Student’s Side Project Proves Prime Numbe...

I'd say the Riemann hypothesis is more famous. Goldbach's conjecture didn't make the Milennium Prize Problems list, and Perleman's refusal of the award for his proof of the Poincaré conjecture popularized that list quite widely.