论文标题
连续素数与其他相关问题之间的最大距离
Maximum distance between consecutive primes and other related questions
论文作者
论文摘要
本文认为，给定基础的残基系统减少了基础的数量和不超过基础的数量和残基的数量的渐近差异。我们研究了Jacobstal函数值的渐近下限与连续数量之间的最大距离之间的关系。给出了一种用于计算jacobstal函数的算法。给出了关于连续质数之间最大距离的上部估计的猜想的证实。
The paper considers the asymptotic of the ratio of the number of primes not exceeding the primorial and the number of residues in the reduced system of residues for the given primorial. We study the relationship between asymptotic lower bounds for the values of the Jacobstal function and the maximum distance between successive primes. One algorithm for computing the Jacobstal function is given. The substantiation of the conjectures about the upper estimate of the maximum distance between successive prime numbers is given.
