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The twin prime conjecture

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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… Click to show full abstract

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 Matomaki, Radziwill and Tao).

Keywords: twin prime; conjecture; prime conjecture

Journal Title: Japanese Journal of Mathematics
Year Published: 2019

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