Bounded gaps between primes

2014/02/20 by Zhang Yitang · 4 citations
Mathematics · #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Finite Group Theory Research

paper · pdf · doi:10.4007/annals.2014.179.3.7

openalex publication_date 2014/02/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

It is proved that lim inf n (pn+1 -pn) < 7 10 7 , where pn is the n-th prime.

Citations

• Primes in arithmetic progressions to large moduli
• La conjecture de Weil : I
• Prime Numbers in Short Intervals and a Generalized Vaughan Identity

Cited by

• Primes in arithmetic progressions to smooth moduli: A minorant version
• Kloosterman sum [wikipedia]
• List of unsolved problems in mathematics [wikipedia]
• Sieve theory [wikipedia]