The differences between consecutive primes, V

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.

Manylion Llyfryddiaeth
Prif Awdur:	Heath-Brown, D
Fformat:	Journal article
Iaith:	English
Cyhoeddwyd:	Oxford University Press 2019

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