The Romanov and Linnik-Goldbach problemsMPIM

by Daniel Johnston (MPIM)

Tuesday Aug 11, 2026, 2:00 PM → 3:00 PM Europe/Berlin

MPIM, Vivatsgasse, 7 - Lecture Hall (Max Planck Institute for Mathematics)

PLeaSANT

In this talk, we will explore two famous problems in number theory closely related to Goldbach's conjecture. The first, Romanov's problem, asks how many odd integers can be represented as the sum of a prime and a power of two. The second, the Goldbach-Linnik problem, is related to representations of even integers as the sum of two primes and a bounded number of powers of two. The content of this talk is closely related to a review recently written by myself and Tim Trudgian in honour of Roger Heath-Brown's 75th birthday.