This document summarizes a talk about computational and machine learning approaches for predicting materials synthesizability. It discusses how machine learning algorithms are generating millions of potential stable compound predictions, far more than can be experimentally tested. It also examines ways to better prioritize candidate materials for synthesis, such as by assessing their likelihood of dynamical stability and calculating their finite-temperature Gibbs free energies more efficiently using machine-learned interatomic force constants. Finally, it describes efforts to integrate literature knowledge using natural language processing to further guide experimental exploration and reduce the number of experiments needed to synthesize predicted materials.