The differences between consecutive primes, V
We show that ∑ pn≤x pn+1−pn≥ √ pn (pn+1−pn)≪εx3/5+ε or any fixed ε>0. This improves a result of Matomäki, in which the exponent was 2/3.
Autor principal: | Heath-Brown, D |
---|---|
Formato: | Journal article |
Idioma: | English |
Publicado em: |
Oxford University Press
2019
|
Registros relacionados
-
A note on the differences between consecutive primes
por: Heath-Brown, D, et al.
Publicado em: (1984) -
The differences between consecutive smooth numbers
por: Heath-Brown, D
Publicado em: (2018) -
Large gaps between consecutive prime numbers
por: Ford, K, et al.
Publicado em: (2016) -
The square sieve and consecutive square-free numbers
por: Heath-Brown, D
Publicado em: (1984) -
Almost-prime k-tuples
por: Heath-Brown, D
Publicado em: (1997)