Lou Shituo ; Yao Qi - A Chebychev's type of prime number theorem in a short interval II.

hrj:124 - Hardy-Ramanujan Journal, January 1, 1992, Volume 15 - 1992 - https://doi.org/10.46298/hrj.1992.124
A Chebychev's type of prime number theorem in a short interval II.Article

Authors: Lou Shituo 1; Yao Qi 1

In this paper, we show that 0.969ylogxπ(x)π(xy)1.031ylogx, where y=xθ,611<θ1 with x large enough. In particular, it follows that pn+1pn<<p6/11+εn for any ε>0, where pn denotes the nth prime.


Volume: Volume 15 - 1992
Published on: January 1, 1992
Imported on: March 3, 2015
Keywords: number of primes in short intervals,complementary sum.,[MATH]Mathematics [math]

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