Brun 1915 sieve → twin-prime-conjecture is finite or zero. Selberg 1947 sieve. Modern: Goldston-Pintz-Yıldırım 2005 prime-gaps; Zhang 2013 bounded-gaps; Maynard-Tao 2014 explicit-gaps.
Brun 1915 sieve → twin-prime-conjecture is finite or zero. Selberg 1947 sieve. Modern: Goldston-Pintz-Yıldırım 2005 prime-gaps; Zhang 2013 bounded-gaps; Maynard-Tao 2014 explicit-gaps.