The smallest gap between primes

A prime gap is the difference between two successive numbers. Two smallest possible primes. twin a that has of two. The conjecture states there are infinitely many This been one great open problems in number theory for years. In May 2013, popular Yitang Zhang's paper was accepted by journal Annals Mathematics where it announced some integer N less than 70 million, pairs primes differ N. few months later, James Maynard gave different proof theorem and showed gaps with size at most 600. collaborative effort Polymath Project, led Terence Tao, reduced to lower bound 246 just using Zhang results as main theoretical background. this note, arithmetic operations, we prove true. Indeed, trivial short note very easy check understand which breakthrough result same time.