论文标题

一些明确的结果,以素数和几乎素数的总和

Some explicit results on the sum of a prime and an almost prime

论文作者

Johnston, Daniel R., Starichkova, Valeriia V.

论文摘要

受到Rényi的经典结果的启发,我们证明,每个均匀的整数$ n \ geq 4 $都可以写为素数和最多395个主要因素的数字。我们还表明,在普遍的Riemann假设的假设下,该结果可以改善为31个主要因素。

Inspired by a classical result of Rényi, we prove that every even integer $N\geq 4$ can be written as the sum of a prime and a number with at most 395 prime factors. We also show, under assumption of the generalised Riemann hypothesis, that this result can be improved to 31 prime factors.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源