Gaps between primes

Abstract

We discuss recent advances on weak forms of the Prime $k$-tuple Conjecture, and its role in proving new estimates for the existence of small gaps between primes and the existence of large gaps between primes.

16 Pages; old survey paper for the ICM

References in corpus (3)

• Bounded gaps between primes with a given primitive root
• Bounded Gaps Between Primes in Chebotarev Sets
• Vinogradov's three primes theorem with almost twin primes

Cited by in corpus (1)

• The importance of finding the upper bounds for prime gaps in order to solve the twin primes conjecture and the Goldbach conjecture