The Twin Prime Problem and Generalizations (apres Yitang Zhang)

摘要

The twin prime problem asks if there are infinitely manyprimes p such that p + 2 is also prime. More generally,one can ask if for any even number a, there areinfinitely many primes p such that p + a is also prime.This problem inspired the development of modern sievetheory. Though several sophisticated tools were discovered,the problem defied many attempts to resolve ituntil recently.