The recent sensational news on bounded gaps between primes made me wonder: what is the status of Yitang Zhang's earlier arXiv preprint [On the Landau-Siegel zeros conjecture][1]? If this result is correct, then (in my opinion) it is even bigger news for analytic number theory. Has anyone checked this paper carefully? **Update** (Nov. 2022). Yitang Zhang posted a new arXiv preprint [Discrete mean estimates and the Landau-Siegel zero][2]. [1]: https://arxiv.org/abs/0705.4306 [2]: https://arxiv.org/abs/2211.02515