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
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.