The Twin Prime Conjecture asserts that there should be infinitely many pairs of primes which differ by 2. Unfortunately this long-standing conjecture remains open, but recently there has been several dramatic developments making partial progress. We survey the key ideas behind proofs of bounded gaps between primes (due to Zhang, Tao and the author) and developments on Chowla's conjecture (due to Matomäki, Radziwiłł and Tao).

中文翻译：

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孪生素数猜想

孪生素数猜想断言应该有无穷多个相差 2 的素数对。不幸的是，这个长期存在的猜想仍然悬而未决，但最近出现了一些戏剧性的进展，取得了部分进展。我们调查了素数有界间隙证明背后的关键思想（归因于张、陶和作者）以及 Chowla 猜想的发展（归因于 Matomäki、Radziwiłł 和陶）。