Bounded gaps between primes

• Autores: Yitang Zhang
• Localización: Annals of mathematics, ISSN 0003-486X, Vol. 179, Nº 3, 2014, págs. 1121-1174
• Idioma: inglés
• DOI: 10.4007/annals.2014.179.3.7
• Texto completo no disponible (Saber más ...)
• Resumen

  • It is proved that lim inf n?8 (p n+1 -p n )<7×10 7 , where p n is the n -th prime.

    Our method is a refinement of the recent work of Goldston, Pintz and Yildirim on the small gaps between consecutive primes. A major ingredient of the proof is a stronger version of the Bombieri-Vinogradov theorem that is applicable when the moduli are free from large prime divisors only, but it is adequate for our purpose